TSTP Solution File: HWV039+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV039+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 02:10:56 EDT 2022
% Result : Theorem 6.02s 4.17s
% Output : Proof 9.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HWV039+1 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 31 22:13:34 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.
% 6.02/4.17 % SZS status Theorem
% 6.02/4.17 % SZS output start Proof
% 6.02/4.17 tff(v180_type, type, (
% 6.02/4.17 v180: $i > $o)).
% 6.02/4.17 tff(constB7_type, type, (
% 6.02/4.17 constB7: $i)).
% 6.02/4.17 tff(tptp_fun_VarCurr_0_type, type, (
% 6.02/4.17 tptp_fun_VarCurr_0: $i)).
% 6.02/4.17 tff(constB105_type, type, (
% 6.02/4.17 constB105: $i)).
% 6.02/4.17 tff(v157_type, type, (
% 6.02/4.17 v157: $i > $o)).
% 6.02/4.17 tff(v192_type, type, (
% 6.02/4.17 v192: $i > $o)).
% 6.02/4.17 tff(v191_type, type, (
% 6.02/4.17 v191: $i > $o)).
% 6.02/4.17 tff(v82_type, type, (
% 6.02/4.17 v82: $i > $o)).
% 6.02/4.17 tff(reachableState_type, type, (
% 6.02/4.17 reachableState: $i > $o)).
% 6.02/4.17 tff(v178_type, type, (
% 6.02/4.17 v178: $i > $o)).
% 6.02/4.17 tff(constB104_type, type, (
% 6.02/4.17 constB104: $i)).
% 6.02/4.17 tff(nextState_type, type, (
% 6.02/4.17 nextState: ( $i * $i ) > $o)).
% 6.02/4.17 tff(v185_type, type, (
% 6.02/4.17 v185: $i > $o)).
% 6.02/4.17 tff(v181_type, type, (
% 6.02/4.17 v181: $i > $o)).
% 6.02/4.17 tff(v187_type, type, (
% 6.02/4.17 v187: $i > $o)).
% 6.02/4.17 tff(v186_type, type, (
% 6.02/4.17 v186: $i > $o)).
% 6.02/4.17 tff(v159_type, type, (
% 6.02/4.17 v159: $i > $o)).
% 6.02/4.17 tff(v184_type, type, (
% 6.02/4.17 v184: $i > $o)).
% 6.02/4.17 tff(v9_type, type, (
% 6.02/4.17 v9: $i > $o)).
% 6.02/4.17 tff(v39_type, type, (
% 6.02/4.17 v39: $i > $o)).
% 6.02/4.17 tff(v1_type, type, (
% 6.02/4.17 v1: $i > $o)).
% 6.02/4.17 tff(v182_type, type, (
% 6.02/4.17 v182: $i > $o)).
% 6.02/4.17 tff(constB103_type, type, (
% 6.02/4.17 constB103: $i)).
% 6.02/4.17 tff(v183_type, type, (
% 6.02/4.17 v183: $i > $o)).
% 6.02/4.17 tff(v26_type, type, (
% 6.02/4.17 v26: $i > $o)).
% 6.02/4.17 tff(v13_type, type, (
% 6.02/4.17 v13: $i > $o)).
% 6.02/4.17 tff(v6_type, type, (
% 6.02/4.17 v6: $i > $o)).
% 6.02/4.17 tff(v21_type, type, (
% 6.02/4.17 v21: $i > $o)).
% 6.02/4.17 tff(v20_type, type, (
% 6.02/4.17 v20: $i > $o)).
% 6.02/4.17 tff(v19_type, type, (
% 6.02/4.17 v19: $i > $o)).
% 6.02/4.17 tff(v22_type, type, (
% 6.02/4.17 v22: $i > $o)).
% 6.02/4.17 tff(v18_type, type, (
% 6.02/4.17 v18: $i > $o)).
% 6.02/4.17 tff(v4_type, type, (
% 6.02/4.17 v4: $i > $o)).
% 6.02/4.17 tff(v161_type, type, (
% 6.02/4.17 v161: $i > $o)).
% 6.02/4.17 tff(v168_type, type, (
% 6.02/4.17 v168: $i > $o)).
% 6.02/4.17 tff(v164_type, type, (
% 6.02/4.17 v164: $i > $o)).
% 6.02/4.17 tff(v165_type, type, (
% 6.02/4.17 v165: $i > $o)).
% 6.02/4.17 tff(v145_type, type, (
% 6.02/4.17 v145: $i > $o)).
% 6.02/4.17 tff(v166_type, type, (
% 6.02/4.17 v166: $i > $o)).
% 6.02/4.17 tff(v142_type, type, (
% 6.02/4.17 v142: $i > $o)).
% 6.02/4.17 tff(v167_type, type, (
% 6.02/4.17 v167: $i > $o)).
% 6.02/4.17 tff(v141_type, type, (
% 6.02/4.17 v141: $i > $o)).
% 6.02/4.17 tff(v88_type, type, (
% 6.02/4.17 v88: ( $i * $i ) > $o)).
% 6.02/4.17 tff(bitIndex0_type, type, (
% 6.02/4.17 bitIndex0: $i)).
% 6.02/4.17 tff(bitIndex2_type, type, (
% 6.02/4.17 bitIndex2: $i)).
% 6.02/4.17 tff(bitIndex1_type, type, (
% 6.02/4.17 bitIndex1: $i)).
% 6.02/4.17 tff(v90_type, type, (
% 6.02/4.17 v90: ( $i * $i ) > $o)).
% 6.02/4.17 tff(constB102_type, type, (
% 6.02/4.17 constB102: $i)).
% 6.02/4.17 tff(v100_type, type, (
% 6.02/4.17 v100: $i > $o)).
% 6.02/4.17 tff(v110_type, type, (
% 6.02/4.17 v110: $i > $o)).
% 6.02/4.17 tff(v101_type, type, (
% 6.02/4.17 v101: $i > $o)).
% 6.02/4.17 tff(v102_type, type, (
% 6.02/4.17 v102: $i > $o)).
% 6.02/4.17 tff(v129_type, type, (
% 6.02/4.17 v129: ( $i * $i ) > $o)).
% 6.02/4.17 tff(v127_type, type, (
% 6.02/4.17 v127: ( $i * $i ) > $o)).
% 6.02/4.17 tff(constB101_type, type, (
% 6.02/4.17 constB101: $i)).
% 6.02/4.17 tff(v130_type, type, (
% 6.02/4.17 v130: ( $i * $i ) > $o)).
% 6.02/4.17 tff(v111_type, type, (
% 6.02/4.17 v111: $i > $o)).
% 6.02/4.17 tff(v121_type, type, (
% 6.02/4.17 v121: $i > $o)).
% 6.02/4.17 tff(constB100_type, type, (
% 6.02/4.17 constB100: $i)).
% 6.02/4.17 tff(constB99_type, type, (
% 6.02/4.17 constB99: $i)).
% 6.02/4.17 tff(v120_type, type, (
% 6.02/4.17 v120: $i > $o)).
% 6.02/4.17 tff(constB98_type, type, (
% 6.02/4.17 constB98: $i)).
% 6.02/4.17 tff(constB97_type, type, (
% 6.02/4.17 constB97: $i)).
% 6.02/4.17 tff(v119_type, type, (
% 6.02/4.17 v119: $i > $o)).
% 6.02/4.17 tff(constB96_type, type, (
% 6.02/4.17 constB96: $i)).
% 6.02/4.17 tff(constB95_type, type, (
% 6.02/4.17 constB95: $i)).
% 6.02/4.17 tff(v124_type, type, (
% 6.02/4.17 v124: $i > $o)).
% 6.02/4.17 tff(constB94_type, type, (
% 6.02/4.17 constB94: $i)).
% 6.02/4.17 tff(constB93_type, type, (
% 6.02/4.17 constB93: $i)).
% 6.02/4.17 tff(v123_type, type, (
% 6.02/4.17 v123: $i > $o)).
% 6.02/4.17 tff(constB92_type, type, (
% 6.02/4.17 constB92: $i)).
% 6.02/4.17 tff(constB91_type, type, (
% 6.02/4.17 constB91: $i)).
% 6.02/4.17 tff(v122_type, type, (
% 6.02/4.17 v122: $i > $o)).
% 6.02/4.17 tff(constB90_type, type, (
% 6.02/4.17 constB90: $i)).
% 6.02/4.17 tff(constB89_type, type, (
% 6.02/4.17 constB89: $i)).
% 6.02/4.17 tff(constB88_type, type, (
% 6.02/4.17 constB88: $i)).
% 6.02/4.17 tff(constB87_type, type, (
% 6.02/4.17 constB87: $i)).
% 6.02/4.17 tff(constB86_type, type, (
% 6.02/4.17 constB86: $i)).
% 6.02/4.17 tff(constB85_type, type, (
% 6.02/4.17 constB85: $i)).
% 6.02/4.17 tff(constB84_type, type, (
% 6.02/4.17 constB84: $i)).
% 6.02/4.17 tff(constB83_type, type, (
% 6.02/4.17 constB83: $i)).
% 6.02/4.17 tff(constB82_type, type, (
% 6.02/4.17 constB82: $i)).
% 6.02/4.17 tff(constB81_type, type, (
% 6.02/4.17 constB81: $i)).
% 6.02/4.17 tff(constB80_type, type, (
% 6.02/4.17 constB80: $i)).
% 6.02/4.17 tff(constB79_type, type, (
% 6.02/4.17 constB79: $i)).
% 6.02/4.17 tff(constB78_type, type, (
% 6.02/4.17 constB78: $i)).
% 6.02/4.17 tff(constB77_type, type, (
% 6.02/4.17 constB77: $i)).
% 6.02/4.17 tff(constB76_type, type, (
% 6.02/4.17 constB76: $i)).
% 6.02/4.17 tff(constB75_type, type, (
% 6.02/4.17 constB75: $i)).
% 6.02/4.17 tff(constB74_type, type, (
% 6.02/4.17 constB74: $i)).
% 6.02/4.17 tff(constB73_type, type, (
% 6.02/4.17 constB73: $i)).
% 6.02/4.17 tff(constB72_type, type, (
% 6.02/4.17 constB72: $i)).
% 6.02/4.17 tff(constB71_type, type, (
% 6.02/4.17 constB71: $i)).
% 6.02/4.17 tff(constB70_type, type, (
% 6.02/4.17 constB70: $i)).
% 6.02/4.17 tff(constB69_type, type, (
% 6.02/4.17 constB69: $i)).
% 6.02/4.17 tff(constB68_type, type, (
% 6.02/4.17 constB68: $i)).
% 6.02/4.17 tff(constB67_type, type, (
% 6.02/4.17 constB67: $i)).
% 6.02/4.17 tff(constB66_type, type, (
% 6.02/4.17 constB66: $i)).
% 6.02/4.17 tff(constB65_type, type, (
% 6.02/4.17 constB65: $i)).
% 6.02/4.17 tff(constB64_type, type, (
% 6.02/4.17 constB64: $i)).
% 6.02/4.17 tff(constB63_type, type, (
% 6.02/4.17 constB63: $i)).
% 6.02/4.17 tff(constB62_type, type, (
% 6.02/4.17 constB62: $i)).
% 6.02/4.17 tff(constB61_type, type, (
% 6.02/4.17 constB61: $i)).
% 6.02/4.17 tff(constB60_type, type, (
% 6.02/4.17 constB60: $i)).
% 6.02/4.17 tff(constB59_type, type, (
% 6.02/4.17 constB59: $i)).
% 6.02/4.17 tff(constB58_type, type, (
% 6.02/4.17 constB58: $i)).
% 6.02/4.17 tff(constB57_type, type, (
% 6.02/4.17 constB57: $i)).
% 6.02/4.17 tff(constB56_type, type, (
% 6.02/4.17 constB56: $i)).
% 6.02/4.17 tff(constB55_type, type, (
% 6.02/4.17 constB55: $i)).
% 6.02/4.17 tff(constB54_type, type, (
% 6.02/4.17 constB54: $i)).
% 6.02/4.17 tff(constB53_type, type, (
% 6.02/4.17 constB53: $i)).
% 6.02/4.17 tff(constB52_type, type, (
% 6.02/4.17 constB52: $i)).
% 6.02/4.17 tff(constB51_type, type, (
% 6.02/4.17 constB51: $i)).
% 6.02/4.17 tff(constB50_type, type, (
% 6.02/4.17 constB50: $i)).
% 6.02/4.17 tff(constB49_type, type, (
% 6.02/4.17 constB49: $i)).
% 6.02/4.17 tff(constB48_type, type, (
% 6.02/4.17 constB48: $i)).
% 6.02/4.17 tff(constB47_type, type, (
% 6.02/4.17 constB47: $i)).
% 6.02/4.17 tff(constB46_type, type, (
% 6.02/4.17 constB46: $i)).
% 6.02/4.17 tff(constB45_type, type, (
% 6.02/4.17 constB45: $i)).
% 6.02/4.17 tff(constB44_type, type, (
% 6.02/4.17 constB44: $i)).
% 6.02/4.17 tff(constB43_type, type, (
% 6.02/4.17 constB43: $i)).
% 6.02/4.17 tff(constB42_type, type, (
% 6.02/4.17 constB42: $i)).
% 6.02/4.17 tff(constB41_type, type, (
% 6.02/4.17 constB41: $i)).
% 6.02/4.17 tff(constB40_type, type, (
% 6.02/4.17 constB40: $i)).
% 6.02/4.17 tff(constB39_type, type, (
% 6.02/4.17 constB39: $i)).
% 6.02/4.17 tff(constB38_type, type, (
% 6.02/4.17 constB38: $i)).
% 6.02/4.17 tff(constB37_type, type, (
% 6.02/4.17 constB37: $i)).
% 6.02/4.17 tff(constB36_type, type, (
% 6.02/4.17 constB36: $i)).
% 6.02/4.17 tff(constB35_type, type, (
% 6.02/4.17 constB35: $i)).
% 6.02/4.17 tff(constB34_type, type, (
% 6.02/4.17 constB34: $i)).
% 6.02/4.17 tff(constB33_type, type, (
% 6.02/4.17 constB33: $i)).
% 6.02/4.17 tff(constB32_type, type, (
% 6.02/4.17 constB32: $i)).
% 6.02/4.17 tff(constB31_type, type, (
% 6.02/4.17 constB31: $i)).
% 6.02/4.17 tff(constB30_type, type, (
% 6.02/4.17 constB30: $i)).
% 6.02/4.17 tff(constB29_type, type, (
% 6.02/4.17 constB29: $i)).
% 6.02/4.17 tff(constB28_type, type, (
% 6.02/4.17 constB28: $i)).
% 6.02/4.17 tff(constB27_type, type, (
% 6.02/4.17 constB27: $i)).
% 6.02/4.17 tff(constB26_type, type, (
% 6.02/4.17 constB26: $i)).
% 6.02/4.17 tff(constB25_type, type, (
% 6.02/4.17 constB25: $i)).
% 6.02/4.17 tff(constB24_type, type, (
% 6.02/4.17 constB24: $i)).
% 6.02/4.17 tff(constB23_type, type, (
% 6.02/4.17 constB23: $i)).
% 6.02/4.17 tff(constB22_type, type, (
% 6.02/4.17 constB22: $i)).
% 6.02/4.17 tff(constB21_type, type, (
% 6.02/4.17 constB21: $i)).
% 6.02/4.17 tff(constB20_type, type, (
% 6.02/4.17 constB20: $i)).
% 6.02/4.17 tff(constB19_type, type, (
% 6.02/4.17 constB19: $i)).
% 6.02/4.17 tff(constB18_type, type, (
% 6.02/4.17 constB18: $i)).
% 6.02/4.17 tff(constB17_type, type, (
% 6.02/4.17 constB17: $i)).
% 6.02/4.17 tff(constB16_type, type, (
% 6.02/4.17 constB16: $i)).
% 6.02/4.17 tff(constB15_type, type, (
% 6.02/4.17 constB15: $i)).
% 6.02/4.17 tff(constB14_type, type, (
% 6.02/4.17 constB14: $i)).
% 6.02/4.17 tff(constB13_type, type, (
% 6.02/4.17 constB13: $i)).
% 6.02/4.17 tff(constB12_type, type, (
% 6.02/4.17 constB12: $i)).
% 6.02/4.17 tff(constB11_type, type, (
% 6.02/4.17 constB11: $i)).
% 6.02/4.17 tff(constB10_type, type, (
% 6.02/4.17 constB10: $i)).
% 6.02/4.17 tff(constB9_type, type, (
% 6.02/4.17 constB9: $i)).
% 6.02/4.17 tff(constB8_type, type, (
% 6.02/4.17 constB8: $i)).
% 6.02/4.17 tff(constB6_type, type, (
% 6.02/4.17 constB6: $i)).
% 6.02/4.17 tff(constB5_type, type, (
% 6.02/4.17 constB5: $i)).
% 6.02/4.17 tff(constB4_type, type, (
% 6.02/4.17 constB4: $i)).
% 6.02/4.17 tff(constB3_type, type, (
% 6.02/4.17 constB3: $i)).
% 6.02/4.17 tff(constB2_type, type, (
% 6.02/4.17 constB2: $i)).
% 6.02/4.17 tff(constB1_type, type, (
% 6.02/4.17 constB1: $i)).
% 6.02/4.17 tff(constB0_type, type, (
% 6.02/4.17 constB0: $i)).
% 6.02/4.17 tff(v104_type, type, (
% 6.02/4.17 v104: $i > $o)).
% 6.02/4.17 tff(v108_type, type, (
% 6.02/4.17 v108: $i > $o)).
% 6.02/4.17 tff(v112_type, type, (
% 6.02/4.17 v112: $i > $o)).
% 6.02/4.17 tff(v126_type, type, (
% 6.02/4.17 v126: $i > $o)).
% 6.02/4.17 tff(v113_type, type, (
% 6.02/4.17 v113: $i > $o)).
% 6.02/4.17 tff(v125_type, type, (
% 6.02/4.17 v125: $i > $o)).
% 6.02/4.17 tff(v114_type, type, (
% 6.02/4.17 v114: $i > $o)).
% 6.02/4.17 tff(v115_type, type, (
% 6.02/4.17 v115: $i > $o)).
% 6.02/4.17 tff(v116_type, type, (
% 6.02/4.17 v116: $i > $o)).
% 6.02/4.17 tff(v117_type, type, (
% 6.02/4.17 v117: $i > $o)).
% 6.02/4.17 tff(v118_type, type, (
% 6.02/4.17 v118: $i > $o)).
% 6.02/4.17 tff(v139_type, type, (
% 6.02/4.17 v139: $i > $o)).
% 6.02/4.17 tff(v140_type, type, (
% 6.02/4.17 v140: $i > $o)).
% 6.02/4.17 tff(constB189_type, type, (
% 6.02/4.17 constB189: $i)).
% 6.02/4.17 tff(constB188_type, type, (
% 6.02/4.17 constB188: $i)).
% 6.02/4.17 tff(constB187_type, type, (
% 6.02/4.17 constB187: $i)).
% 6.02/4.17 tff(constB186_type, type, (
% 6.02/4.17 constB186: $i)).
% 6.02/4.17 tff(constB185_type, type, (
% 6.02/4.17 constB185: $i)).
% 6.02/4.17 tff(constB184_type, type, (
% 6.02/4.17 constB184: $i)).
% 6.02/4.17 tff(constB183_type, type, (
% 6.02/4.17 constB183: $i)).
% 6.02/4.17 tff(constB182_type, type, (
% 6.02/4.17 constB182: $i)).
% 6.02/4.17 tff(constB181_type, type, (
% 6.02/4.17 constB181: $i)).
% 6.02/4.17 tff(constB180_type, type, (
% 6.02/4.17 constB180: $i)).
% 6.02/4.17 tff(constB179_type, type, (
% 6.02/4.17 constB179: $i)).
% 6.02/4.17 tff(constB178_type, type, (
% 6.02/4.17 constB178: $i)).
% 6.02/4.17 tff(constB177_type, type, (
% 6.02/4.17 constB177: $i)).
% 6.02/4.17 tff(constB176_type, type, (
% 6.02/4.17 constB176: $i)).
% 6.02/4.17 tff(constB175_type, type, (
% 6.02/4.17 constB175: $i)).
% 6.02/4.17 tff(constB174_type, type, (
% 6.02/4.17 constB174: $i)).
% 6.02/4.17 tff(constB173_type, type, (
% 6.02/4.17 constB173: $i)).
% 6.02/4.17 tff(constB172_type, type, (
% 6.02/4.17 constB172: $i)).
% 6.02/4.17 tff(constB171_type, type, (
% 6.02/4.17 constB171: $i)).
% 6.02/4.17 tff(constB170_type, type, (
% 6.02/4.17 constB170: $i)).
% 6.02/4.17 tff(constB169_type, type, (
% 6.02/4.17 constB169: $i)).
% 6.02/4.17 tff(constB168_type, type, (
% 6.02/4.17 constB168: $i)).
% 6.02/4.17 tff(constB167_type, type, (
% 6.02/4.17 constB167: $i)).
% 6.02/4.17 tff(constB166_type, type, (
% 6.02/4.17 constB166: $i)).
% 6.02/4.17 tff(constB165_type, type, (
% 6.02/4.17 constB165: $i)).
% 6.02/4.17 tff(constB164_type, type, (
% 6.02/4.17 constB164: $i)).
% 6.02/4.17 tff(constB163_type, type, (
% 6.02/4.17 constB163: $i)).
% 6.02/4.17 tff(constB162_type, type, (
% 6.02/4.17 constB162: $i)).
% 6.02/4.17 tff(constB161_type, type, (
% 6.02/4.17 constB161: $i)).
% 6.02/4.17 tff(constB160_type, type, (
% 6.02/4.17 constB160: $i)).
% 6.02/4.17 tff(constB159_type, type, (
% 6.02/4.17 constB159: $i)).
% 6.02/4.17 tff(constB158_type, type, (
% 6.02/4.17 constB158: $i)).
% 6.02/4.17 tff(constB157_type, type, (
% 6.02/4.17 constB157: $i)).
% 6.02/4.17 tff(constB156_type, type, (
% 6.02/4.17 constB156: $i)).
% 6.02/4.17 tff(constB155_type, type, (
% 6.02/4.17 constB155: $i)).
% 6.02/4.17 tff(constB154_type, type, (
% 6.02/4.17 constB154: $i)).
% 6.02/4.17 tff(constB153_type, type, (
% 6.02/4.17 constB153: $i)).
% 6.02/4.17 tff(constB152_type, type, (
% 6.02/4.17 constB152: $i)).
% 6.02/4.17 tff(constB151_type, type, (
% 6.02/4.17 constB151: $i)).
% 6.02/4.17 tff(constB150_type, type, (
% 6.02/4.17 constB150: $i)).
% 6.02/4.17 tff(constB149_type, type, (
% 6.02/4.17 constB149: $i)).
% 6.02/4.17 tff(constB148_type, type, (
% 6.02/4.17 constB148: $i)).
% 6.02/4.17 tff(constB147_type, type, (
% 6.02/4.17 constB147: $i)).
% 6.02/4.17 tff(constB146_type, type, (
% 6.02/4.17 constB146: $i)).
% 6.02/4.17 tff(constB145_type, type, (
% 6.02/4.17 constB145: $i)).
% 6.02/4.17 tff(constB144_type, type, (
% 6.02/4.17 constB144: $i)).
% 6.02/4.17 tff(constB143_type, type, (
% 6.02/4.17 constB143: $i)).
% 6.02/4.17 tff(constB142_type, type, (
% 6.02/4.17 constB142: $i)).
% 6.02/4.17 tff(constB141_type, type, (
% 6.02/4.17 constB141: $i)).
% 6.02/4.17 tff(constB140_type, type, (
% 6.02/4.17 constB140: $i)).
% 6.02/4.17 tff(constB139_type, type, (
% 6.02/4.17 constB139: $i)).
% 6.02/4.17 tff(constB138_type, type, (
% 6.02/4.17 constB138: $i)).
% 6.02/4.17 tff(constB137_type, type, (
% 6.02/4.17 constB137: $i)).
% 6.02/4.17 tff(constB136_type, type, (
% 6.02/4.17 constB136: $i)).
% 6.02/4.17 tff(constB135_type, type, (
% 6.02/4.17 constB135: $i)).
% 6.02/4.17 tff(constB134_type, type, (
% 6.02/4.17 constB134: $i)).
% 6.02/4.17 tff(constB133_type, type, (
% 6.02/4.17 constB133: $i)).
% 6.02/4.17 tff(constB132_type, type, (
% 6.02/4.17 constB132: $i)).
% 6.02/4.17 tff(constB131_type, type, (
% 6.02/4.17 constB131: $i)).
% 6.02/4.17 tff(constB130_type, type, (
% 6.02/4.17 constB130: $i)).
% 6.02/4.17 tff(constB129_type, type, (
% 6.02/4.17 constB129: $i)).
% 6.02/4.17 tff(constB128_type, type, (
% 6.02/4.17 constB128: $i)).
% 6.02/4.17 tff(constB127_type, type, (
% 6.02/4.17 constB127: $i)).
% 6.02/4.17 tff(constB126_type, type, (
% 6.02/4.17 constB126: $i)).
% 6.02/4.17 tff(constB125_type, type, (
% 6.02/4.17 constB125: $i)).
% 6.02/4.17 tff(constB124_type, type, (
% 6.02/4.17 constB124: $i)).
% 6.02/4.17 tff(constB123_type, type, (
% 6.02/4.17 constB123: $i)).
% 6.02/4.17 tff(constB122_type, type, (
% 6.02/4.17 constB122: $i)).
% 6.02/4.17 tff(constB121_type, type, (
% 6.02/4.17 constB121: $i)).
% 6.02/4.17 tff(constB120_type, type, (
% 6.02/4.17 constB120: $i)).
% 6.02/4.17 tff(constB119_type, type, (
% 6.02/4.17 constB119: $i)).
% 6.02/4.17 tff(constB118_type, type, (
% 6.02/4.17 constB118: $i)).
% 6.02/4.17 tff(constB117_type, type, (
% 6.02/4.17 constB117: $i)).
% 6.02/4.17 tff(constB116_type, type, (
% 6.02/4.17 constB116: $i)).
% 6.02/4.17 tff(constB115_type, type, (
% 6.02/4.17 constB115: $i)).
% 6.02/4.17 tff(constB114_type, type, (
% 6.02/4.17 constB114: $i)).
% 6.02/4.17 tff(constB113_type, type, (
% 6.02/4.17 constB113: $i)).
% 6.02/4.17 tff(constB112_type, type, (
% 6.02/4.17 constB112: $i)).
% 6.02/4.17 tff(constB111_type, type, (
% 6.02/4.17 constB111: $i)).
% 6.02/4.17 tff(constB110_type, type, (
% 6.02/4.17 constB110: $i)).
% 6.02/4.17 tff(constB109_type, type, (
% 6.02/4.17 constB109: $i)).
% 6.02/4.17 tff(constB108_type, type, (
% 6.02/4.17 constB108: $i)).
% 6.02/4.17 tff(constB107_type, type, (
% 6.02/4.17 constB107: $i)).
% 6.02/4.17 tff(constB106_type, type, (
% 6.02/4.17 constB106: $i)).
% 6.02/4.17 tff(v86_type, type, (
% 6.02/4.17 v86: $i > $o)).
% 6.02/4.17 tff(v84_type, type, (
% 6.02/4.17 v84: $i > $o)).
% 6.02/4.17 tff(v194_type, type, (
% 6.02/4.17 v194: $i > $o)).
% 6.02/4.17 tff(v193_type, type, (
% 6.02/4.17 v193: $i > $o)).
% 6.02/4.17 tff(v148_type, type, (
% 6.02/4.17 v148: $i > $o)).
% 6.02/4.17 tff(v135_type, type, (
% 6.02/4.17 v135: $i > $o)).
% 6.02/4.17 tff(v136_type, type, (
% 6.02/4.17 v136: $i > $o)).
% 6.02/4.17 tff(v137_type, type, (
% 6.02/4.17 v137: $i > $o)).
% 6.02/4.17 tff(v144_type, type, (
% 6.02/4.17 v144: $i > $o)).
% 6.02/4.17 tff(v143_type, type, (
% 6.02/4.17 v143: $i > $o)).
% 6.02/4.17 tff(constB193_type, type, (
% 6.02/4.17 constB193: $i)).
% 6.02/4.17 tff(constB192_type, type, (
% 6.02/4.17 constB192: $i)).
% 6.02/4.17 tff(constB191_type, type, (
% 6.02/4.17 constB191: $i)).
% 6.02/4.17 tff(constB190_type, type, (
% 6.02/4.17 constB190: $i)).
% 6.02/4.17 tff(v147_type, type, (
% 6.02/4.17 v147: $i > $o)).
% 6.02/4.17 tff(v146_type, type, (
% 6.02/4.17 v146: $i > $o)).
% 6.02/4.17 tff(constB195_type, type, (
% 6.02/4.17 constB195: $i)).
% 6.02/4.17 tff(constB194_type, type, (
% 6.02/4.17 constB194: $i)).
% 6.02/4.17 tff(constB199_type, type, (
% 6.02/4.17 constB199: $i)).
% 6.02/4.17 tff(constB198_type, type, (
% 6.02/4.17 constB198: $i)).
% 6.02/4.17 tff(constB197_type, type, (
% 6.02/4.17 constB197: $i)).
% 6.02/4.17 tff(constB196_type, type, (
% 6.02/4.17 constB196: $i)).
% 6.02/4.17 tff(constB200_type, type, (
% 6.02/4.17 constB200: $i)).
% 6.02/4.17 tff(1,assumption,(constB105 = VarCurr!0), introduced(assumption)).
% 6.02/4.17 tff(2,plain,
% 6.02/4.17 (v180(constB105) <=> v180(VarCurr!0)),
% 6.02/4.17 inference(monotonicity,[status(thm)],[1])).
% 6.02/4.17 tff(3,plain,
% 6.02/4.17 (v180(VarCurr!0) <=> v180(constB105)),
% 6.02/4.17 inference(symmetry,[status(thm)],[2])).
% 6.02/4.17 tff(4,plain,
% 6.02/4.17 (^[VarNext: $i] : refl((v157(VarNext) <=> v180(VarNext)) <=> (v157(VarNext) <=> v180(VarNext)))),
% 6.02/4.17 inference(bind,[status(th)],[])).
% 6.02/4.17 tff(5,plain,
% 6.02/4.17 (![VarNext: $i] : (v157(VarNext) <=> v180(VarNext)) <=> ![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 6.02/4.17 inference(quant_intro,[status(thm)],[4])).
% 6.02/4.17 tff(6,plain,
% 6.02/4.17 (![VarNext: $i] : (v157(VarNext) <=> v180(VarNext)) <=> ![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 6.02/4.17 inference(rewrite,[status(thm)],[])).
% 6.02/4.17 tff(7,plain,
% 6.02/4.17 (^[VarNext: $i] : rewrite(($true => (v157(VarNext) <=> v180(VarNext))) <=> (v157(VarNext) <=> v180(VarNext)))),
% 6.02/4.17 inference(bind,[status(th)],[])).
% 6.02/4.17 tff(8,plain,
% 6.02/4.17 (![VarNext: $i] : ($true => (v157(VarNext) <=> v180(VarNext))) <=> ![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 6.02/4.17 inference(quant_intro,[status(thm)],[7])).
% 6.02/4.17 tff(9,axiom,(![VarNext: $i] : ($true => (v157(VarNext) <=> v180(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6')).
% 6.02/4.17 tff(10,plain,
% 6.02/4.17 (![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 6.02/4.17 inference(modus_ponens,[status(thm)],[9, 8])).
% 6.02/4.17 tff(11,plain,
% 6.02/4.17 (![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 6.02/4.17 inference(modus_ponens,[status(thm)],[10, 6])).
% 6.02/4.17 tff(12,plain,(
% 6.02/4.17 ![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 6.02/4.17 inference(skolemize,[status(sab)],[11])).
% 6.02/4.17 tff(13,plain,
% 6.02/4.17 (![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))),
% 6.02/4.17 inference(modus_ponens,[status(thm)],[12, 5])).
% 6.02/4.17 tff(14,plain,
% 6.02/4.17 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(VarCurr!0) <=> v180(VarCurr!0))),
% 6.02/4.17 inference(quant_inst,[status(thm)],[])).
% 6.02/4.17 tff(15,plain,
% 6.02/4.17 (v157(VarCurr!0) <=> v180(VarCurr!0)),
% 6.02/4.17 inference(unit_resolution,[status(thm)],[14, 13])).
% 6.02/4.17 tff(16,plain,
% 6.02/4.17 (^[VarCurr: $i] : refl((v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr))))) <=> (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr))))))),
% 6.02/4.17 inference(bind,[status(th)],[])).
% 6.02/4.17 tff(17,plain,
% 6.02/4.17 (![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr)))))),
% 6.02/4.17 inference(quant_intro,[status(thm)],[16])).
% 6.02/4.17 tff(18,plain,
% 6.02/4.17 (^[VarCurr: $i] : rewrite((v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr))) <=> (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr))))))),
% 6.02/4.17 inference(bind,[status(th)],[])).
% 6.02/4.17 tff(19,plain,
% 6.02/4.17 (![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr)))))),
% 6.02/4.17 inference(quant_intro,[status(thm)],[18])).
% 6.02/4.17 tff(20,plain,
% 6.02/4.17 (![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr)))),
% 6.02/4.17 inference(rewrite,[status(thm)],[])).
% 6.02/4.17 tff(21,axiom,(![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50')).
% 6.02/4.18 tff(22,plain,
% 6.02/4.18 (![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[21, 20])).
% 6.02/4.18 tff(23,plain,(
% 6.02/4.18 ![VarCurr: $i] : (v191(VarCurr) <=> (v192(VarCurr) & v157(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[22])).
% 6.02/4.18 tff(24,plain,
% 6.02/4.18 (![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[23, 19])).
% 6.02/4.18 tff(25,plain,
% 6.02/4.18 (![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[24, 17])).
% 6.02/4.18 tff(26,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v191(VarCurr) <=> (~((~v192(VarCurr)) | (~v157(VarCurr)))))) | (v191(VarCurr!0) <=> (~((~v192(VarCurr!0)) | (~v157(VarCurr!0)))))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(27,plain,
% 6.02/4.18 (v191(VarCurr!0) <=> (~((~v192(VarCurr!0)) | (~v157(VarCurr!0))))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[26, 25])).
% 6.02/4.18 tff(28,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl(((~v82(VarCurr)) <=> v191(VarCurr)) <=> ((~v82(VarCurr)) <=> v191(VarCurr)))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(29,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[28])).
% 6.02/4.18 tff(30,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(31,axiom,(![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_17')).
% 6.02/4.18 tff(32,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[31, 30])).
% 6.02/4.18 tff(33,plain,(
% 6.02/4.18 ![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))),
% 6.02/4.18 inference(skolemize,[status(sab)],[32])).
% 6.02/4.18 tff(34,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[33, 29])).
% 6.02/4.18 tff(35,plain,
% 6.02/4.18 ((~![VarCurr: $i] : ((~v82(VarCurr)) <=> v191(VarCurr))) | ((~v82(VarCurr!0)) <=> v191(VarCurr!0))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(36,plain,
% 6.02/4.18 ((~v82(VarCurr!0)) <=> v191(VarCurr!0)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[35, 34])).
% 6.02/4.18 tff(37,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(38,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(39,axiom,(~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion')).
% 6.02/4.18 tff(40,plain,
% 6.02/4.18 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[39, 38])).
% 6.02/4.18 tff(41,plain,
% 6.02/4.18 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[40, 37])).
% 6.02/4.18 tff(42,plain,
% 6.02/4.18 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[41, 37])).
% 6.02/4.18 tff(43,plain,
% 6.02/4.18 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[42, 37])).
% 6.02/4.18 tff(44,plain,
% 6.02/4.18 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[43, 37])).
% 6.02/4.18 tff(45,plain,
% 6.02/4.18 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[44, 37])).
% 6.02/4.18 tff(46,plain,
% 6.02/4.18 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[45, 37])).
% 6.02/4.18 tff(47,plain,(
% 6.02/4.18 ~(v82(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[46])).
% 6.02/4.18 tff(48,plain,
% 6.02/4.18 (~v82(VarCurr!0)),
% 6.02/4.18 inference(or_elim,[status(thm)],[47])).
% 6.02/4.18 tff(49,plain,
% 6.02/4.18 ((~((~v82(VarCurr!0)) <=> v191(VarCurr!0))) | v82(VarCurr!0) | v191(VarCurr!0)),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(50,plain,
% 6.02/4.18 ((~((~v82(VarCurr!0)) <=> v191(VarCurr!0))) | v191(VarCurr!0)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[49, 48])).
% 6.02/4.18 tff(51,plain,
% 6.02/4.18 (v191(VarCurr!0)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[50, 36])).
% 6.02/4.18 tff(52,plain,
% 6.02/4.18 ((~(v191(VarCurr!0) <=> (~((~v192(VarCurr!0)) | (~v157(VarCurr!0)))))) | (~v191(VarCurr!0)) | (~((~v192(VarCurr!0)) | (~v157(VarCurr!0))))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(53,plain,
% 6.02/4.18 ((~(v191(VarCurr!0) <=> (~((~v192(VarCurr!0)) | (~v157(VarCurr!0)))))) | (~((~v192(VarCurr!0)) | (~v157(VarCurr!0))))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[52, 51])).
% 6.02/4.18 tff(54,plain,
% 6.02/4.18 (~((~v192(VarCurr!0)) | (~v157(VarCurr!0)))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[53, 27])).
% 6.02/4.18 tff(55,plain,
% 6.02/4.18 (((~v192(VarCurr!0)) | (~v157(VarCurr!0))) | v157(VarCurr!0)),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(56,plain,
% 6.02/4.18 (v157(VarCurr!0)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[55, 54])).
% 6.02/4.18 tff(57,plain,
% 6.02/4.18 ((~(v157(VarCurr!0) <=> v180(VarCurr!0))) | (~v157(VarCurr!0)) | v180(VarCurr!0)),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(58,plain,
% 6.02/4.18 ((~(v157(VarCurr!0) <=> v180(VarCurr!0))) | v180(VarCurr!0)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[57, 56])).
% 6.02/4.18 tff(59,plain,
% 6.02/4.18 (v180(VarCurr!0)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[58, 15])).
% 6.02/4.18 tff(60,plain,
% 6.02/4.18 (v180(constB105)),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[59, 3])).
% 6.02/4.18 tff(61,plain,
% 6.02/4.18 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(62,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[61])).
% 6.02/4.18 tff(63,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(64,plain,
% 6.02/4.18 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v180(VarNext) <=> v178(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(65,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> v178(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[64])).
% 6.02/4.18 tff(66,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v180(VarNext) <=> v178(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_11')).
% 6.02/4.18 tff(67,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[66, 65])).
% 6.02/4.18 tff(68,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[67, 63])).
% 6.02/4.18 tff(69,plain,(
% 6.02/4.18 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[68])).
% 6.02/4.18 tff(70,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[69, 62])).
% 6.02/4.18 tff(71,plain,
% 6.02/4.18 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(72,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_104')).
% 6.02/4.18 tff(73,plain,
% 6.02/4.18 (nextState(constB104, constB105)),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[72, 71])).
% 6.02/4.18 tff(74,plain,
% 6.02/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB104, constB105)) | (v180(constB105) <=> v178(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB104, constB105)) | (v180(constB105) <=> v178(constB104)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(75,plain,
% 6.02/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB104, constB105)) | (v180(constB105) <=> v178(constB104)))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(76,plain,
% 6.02/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB104, constB105)) | (v180(constB105) <=> v178(constB104))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[75, 74])).
% 6.02/4.18 tff(77,plain,
% 6.02/4.18 (v180(constB105) <=> v178(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[76, 73, 70])).
% 6.02/4.18 tff(78,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl((v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))) <=> (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(79,plain,
% 6.02/4.18 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))) <=> ![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[78])).
% 6.02/4.18 tff(80,plain,
% 6.02/4.18 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr))) <=> ![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(81,axiom,(![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47')).
% 6.02/4.18 tff(82,plain,
% 6.02/4.18 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[81, 80])).
% 6.02/4.18 tff(83,plain,(
% 6.02/4.18 ![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[82])).
% 6.02/4.18 tff(84,plain,
% 6.02/4.18 (![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[83, 79])).
% 6.02/4.18 tff(85,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB104) <=> (v181(constB104) | v185(constB104)))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(86,plain,
% 6.02/4.18 (v178(constB104) <=> (v181(constB104) | v185(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[85, 84])).
% 6.02/4.18 tff(87,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl((v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))) <=> (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(88,plain,
% 6.02/4.18 (![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))) <=> ![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[87])).
% 6.02/4.18 tff(89,plain,
% 6.02/4.18 (^[VarCurr: $i] : rewrite((v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr))) <=> (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr))))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(90,plain,
% 6.02/4.18 (![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr))) <=> ![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[89])).
% 6.02/4.18 tff(91,plain,
% 6.02/4.18 (![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr))) <=> ![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(92,axiom,(![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46')).
% 6.02/4.18 tff(93,plain,
% 6.02/4.18 (![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[92, 91])).
% 6.02/4.18 tff(94,plain,(
% 6.02/4.18 ![VarCurr: $i] : (v185(VarCurr) <=> (v186(VarCurr) & v187(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[93])).
% 6.02/4.18 tff(95,plain,
% 6.02/4.18 (![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[94, 90])).
% 6.02/4.18 tff(96,plain,
% 6.02/4.18 (![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[95, 88])).
% 6.02/4.18 tff(97,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB104) <=> (~((~v186(constB104)) | (~v187(constB104)))))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(98,plain,
% 6.02/4.18 (v185(constB104) <=> (~((~v186(constB104)) | (~v187(constB104))))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[97, 96])).
% 6.02/4.18 tff(99,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl((v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr))))) <=> (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr))))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(100,plain,
% 6.02/4.18 (![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr))))) <=> ![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[99])).
% 6.02/4.18 tff(101,plain,
% 6.02/4.18 (^[VarCurr: $i] : rewrite((v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr))) <=> (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr))))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(102,plain,
% 6.02/4.18 (![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr))) <=> ![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[101])).
% 6.02/4.18 tff(103,plain,
% 6.02/4.18 (![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr))) <=> ![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(104,axiom,(![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45')).
% 6.02/4.18 tff(105,plain,
% 6.02/4.18 (![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[104, 103])).
% 6.02/4.18 tff(106,plain,(
% 6.02/4.18 ![VarCurr: $i] : (v187(VarCurr) <=> (v184(VarCurr) & v159(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[105])).
% 6.02/4.18 tff(107,plain,
% 6.02/4.18 (![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[106, 102])).
% 6.02/4.18 tff(108,plain,
% 6.02/4.18 (![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[107, 100])).
% 6.02/4.18 tff(109,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB104) <=> (~((~v184(constB104)) | (~v159(constB104)))))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(110,plain,
% 6.02/4.18 (v187(constB104) <=> (~((~v184(constB104)) | (~v159(constB104))))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[109, 108])).
% 6.02/4.18 tff(111,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl((v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(112,plain,
% 6.02/4.18 (![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> ![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[111])).
% 6.02/4.18 tff(113,plain,
% 6.02/4.18 (^[VarCurr: $i] : rewrite((v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(114,plain,
% 6.02/4.18 (![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[113])).
% 6.02/4.18 tff(115,plain,
% 6.02/4.18 (![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(116,axiom,(![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42')).
% 6.02/4.18 tff(117,plain,
% 6.02/4.18 (![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[116, 115])).
% 6.02/4.18 tff(118,plain,(
% 6.02/4.18 ![VarCurr: $i] : (v184(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[117])).
% 6.02/4.18 tff(119,plain,
% 6.02/4.18 (![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[118, 114])).
% 6.02/4.18 tff(120,plain,
% 6.02/4.18 (![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[119, 112])).
% 6.02/4.18 tff(121,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(122,plain,
% 6.02/4.18 (v184(constB104) <=> (~((~v39(constB104)) | (~v9(constB104))))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[121, 120])).
% 6.02/4.18 tff(123,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl(((~v39(VarCurr)) <=> v1(VarCurr)) <=> ((~v39(VarCurr)) <=> v1(VarCurr)))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(124,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[123])).
% 6.02/4.18 tff(125,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(126,axiom,(![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_3')).
% 6.02/4.18 tff(127,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[126, 125])).
% 6.02/4.18 tff(128,plain,(
% 6.02/4.18 ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 6.02/4.18 inference(skolemize,[status(sab)],[127])).
% 6.02/4.18 tff(129,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[128, 124])).
% 6.02/4.18 tff(130,plain,
% 6.02/4.18 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB104)) <=> v1(constB104))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(131,plain,
% 6.02/4.18 ((~v39(constB104)) <=> v1(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[130, 129])).
% 6.02/4.18 tff(132,plain,
% 6.02/4.18 (v1(constB104) <=> v1(constB104)),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(133,axiom,(v1(constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_104')).
% 6.02/4.18 tff(134,plain,
% 6.02/4.18 (v1(constB104)),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[133, 132])).
% 6.02/4.18 tff(135,plain,
% 6.02/4.18 ((~((~v39(constB104)) <=> v1(constB104))) | (~v39(constB104)) | (~v1(constB104))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(136,plain,
% 6.02/4.18 ((~((~v39(constB104)) <=> v1(constB104))) | (~v39(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[135, 134])).
% 6.02/4.18 tff(137,plain,
% 6.02/4.18 (~v39(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[136, 131])).
% 6.02/4.18 tff(138,plain,
% 6.02/4.18 (((~v39(constB104)) | (~v9(constB104))) | v39(constB104)),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(139,plain,
% 6.02/4.18 ((~v39(constB104)) | (~v9(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[138, 137])).
% 6.02/4.18 tff(140,plain,
% 6.02/4.18 ((~(v184(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))) | (~v184(constB104)) | (~((~v39(constB104)) | (~v9(constB104))))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(141,plain,
% 6.02/4.18 ((~(v184(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))) | (~v184(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[140, 139])).
% 6.02/4.18 tff(142,plain,
% 6.02/4.18 (~v184(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[141, 122])).
% 6.02/4.18 tff(143,plain,
% 6.02/4.18 (((~v184(constB104)) | (~v159(constB104))) | v184(constB104)),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(144,plain,
% 6.02/4.18 ((~v184(constB104)) | (~v159(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[143, 142])).
% 6.02/4.18 tff(145,plain,
% 6.02/4.18 ((~(v187(constB104) <=> (~((~v184(constB104)) | (~v159(constB104)))))) | (~v187(constB104)) | (~((~v184(constB104)) | (~v159(constB104))))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(146,plain,
% 6.02/4.18 ((~(v187(constB104) <=> (~((~v184(constB104)) | (~v159(constB104)))))) | (~v187(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[145, 144])).
% 6.02/4.18 tff(147,plain,
% 6.02/4.18 (~v187(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[146, 110])).
% 6.02/4.18 tff(148,plain,
% 6.02/4.18 (((~v186(constB104)) | (~v187(constB104))) | v187(constB104)),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(149,plain,
% 6.02/4.18 ((~v186(constB104)) | (~v187(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[148, 147])).
% 6.02/4.18 tff(150,plain,
% 6.02/4.18 ((~(v185(constB104) <=> (~((~v186(constB104)) | (~v187(constB104)))))) | (~v185(constB104)) | (~((~v186(constB104)) | (~v187(constB104))))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(151,plain,
% 6.02/4.18 (~v185(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[150, 149, 98])).
% 6.02/4.18 tff(152,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl((v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr))))) <=> (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr))))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(153,plain,
% 6.02/4.18 (![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr))))) <=> ![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[152])).
% 6.02/4.18 tff(154,plain,
% 6.02/4.18 (^[VarCurr: $i] : rewrite((v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr))) <=> (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr))))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(155,plain,
% 6.02/4.18 (![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[154])).
% 6.02/4.18 tff(156,plain,
% 6.02/4.18 (![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr))) <=> ![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(157,axiom,(![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44')).
% 6.02/4.18 tff(158,plain,
% 6.02/4.18 (![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[157, 156])).
% 6.02/4.18 tff(159,plain,(
% 6.02/4.18 ![VarCurr: $i] : (v181(VarCurr) <=> (v182(VarCurr) & v157(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[158])).
% 6.02/4.18 tff(160,plain,
% 6.02/4.18 (![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[159, 155])).
% 6.02/4.18 tff(161,plain,
% 6.02/4.18 (![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[160, 153])).
% 6.02/4.18 tff(162,plain,
% 6.02/4.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104))))))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(163,plain,
% 6.02/4.18 ((v181(constB104) <=> (~((~v182(constB104)) | (~v157(constB104))))) <=> (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104)))))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(164,plain,
% 6.02/4.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v182(constB104)) | (~v157(constB104)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104))))))),
% 6.02/4.18 inference(monotonicity,[status(thm)],[163])).
% 6.02/4.18 tff(165,plain,
% 6.02/4.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v182(constB104)) | (~v157(constB104)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104))))))),
% 6.02/4.18 inference(transitivity,[status(thm)],[164, 162])).
% 6.02/4.18 tff(166,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v182(constB104)) | (~v157(constB104)))))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(167,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[166, 165])).
% 6.02/4.18 tff(168,plain,
% 6.02/4.18 (v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104))))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[167, 161])).
% 6.02/4.18 tff(169,plain,
% 6.02/4.18 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB104) <=> v180(constB104))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(170,plain,
% 6.02/4.18 (v157(constB104) <=> v180(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[169, 13])).
% 6.02/4.18 tff(171,plain,
% 6.02/4.18 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(172,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_103')).
% 6.02/4.18 tff(173,plain,
% 6.02/4.18 (nextState(constB103, constB104)),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[172, 171])).
% 6.02/4.18 tff(174,plain,
% 6.02/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB103, constB104)) | (v180(constB104) <=> v178(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB103, constB104)) | (v180(constB104) <=> v178(constB103)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(175,plain,
% 6.02/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB103, constB104)) | (v180(constB104) <=> v178(constB103)))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(176,plain,
% 6.02/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB103, constB104)) | (v180(constB104) <=> v178(constB103))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[175, 174])).
% 6.02/4.18 tff(177,plain,
% 6.02/4.18 (v180(constB104) <=> v178(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[176, 173, 70])).
% 6.02/4.18 tff(178,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB103) <=> (v181(constB103) | v185(constB103)))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(179,plain,
% 6.02/4.18 (v178(constB103) <=> (v181(constB103) | v185(constB103))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[178, 84])).
% 6.02/4.18 tff(180,plain,
% 6.02/4.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103))))))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(181,plain,
% 6.02/4.18 ((v181(constB103) <=> (~((~v182(constB103)) | (~v157(constB103))))) <=> (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103)))))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(182,plain,
% 6.02/4.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v182(constB103)) | (~v157(constB103)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103))))))),
% 6.02/4.18 inference(monotonicity,[status(thm)],[181])).
% 6.02/4.18 tff(183,plain,
% 6.02/4.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v182(constB103)) | (~v157(constB103)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103))))))),
% 6.02/4.18 inference(transitivity,[status(thm)],[182, 180])).
% 6.02/4.18 tff(184,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v182(constB103)) | (~v157(constB103)))))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(185,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[184, 183])).
% 6.02/4.18 tff(186,plain,
% 6.02/4.18 (v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103))))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[185, 161])).
% 6.02/4.18 tff(187,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl(((~v182(VarCurr)) <=> v183(VarCurr)) <=> ((~v182(VarCurr)) <=> v183(VarCurr)))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(188,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr)) <=> ![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[187])).
% 6.02/4.18 tff(189,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr)) <=> ![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(190,axiom,(![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_14')).
% 6.02/4.18 tff(191,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[190, 189])).
% 6.02/4.18 tff(192,plain,(
% 6.02/4.18 ![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 6.02/4.18 inference(skolemize,[status(sab)],[191])).
% 6.02/4.18 tff(193,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[192, 188])).
% 6.02/4.18 tff(194,plain,
% 6.02/4.18 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB103)) <=> v183(constB103))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(195,plain,
% 6.02/4.18 ((~v182(constB103)) <=> v183(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[194, 193])).
% 6.02/4.18 tff(196,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl((v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))) <=> (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(197,plain,
% 6.02/4.18 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[196])).
% 6.02/4.18 tff(198,plain,
% 6.02/4.18 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(199,axiom,(![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43')).
% 6.02/4.18 tff(200,plain,
% 6.02/4.18 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[199, 198])).
% 6.02/4.18 tff(201,plain,(
% 6.02/4.18 ![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[200])).
% 6.02/4.18 tff(202,plain,
% 6.02/4.18 (![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[201, 197])).
% 6.02/4.18 tff(203,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB103) <=> (v184(constB103) | v26(constB103)))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(204,plain,
% 6.02/4.18 (v183(constB103) <=> (v184(constB103) | v26(constB103))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[203, 202])).
% 6.02/4.18 tff(205,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB103) <=> (~((~v39(constB103)) | (~v9(constB103)))))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(206,plain,
% 6.02/4.18 (v184(constB103) <=> (~((~v39(constB103)) | (~v9(constB103))))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[205, 120])).
% 6.02/4.18 tff(207,plain,
% 6.02/4.18 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(208,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[207])).
% 6.02/4.18 tff(209,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(210,plain,
% 6.02/4.18 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(211,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[210])).
% 6.02/4.18 tff(212,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment')).
% 6.02/4.18 tff(213,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[212, 211])).
% 6.02/4.18 tff(214,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[213, 209])).
% 6.02/4.18 tff(215,plain,(
% 6.02/4.18 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[214])).
% 6.02/4.18 tff(216,plain,
% 6.02/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[215, 208])).
% 6.02/4.18 tff(217,plain,
% 6.02/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(218,plain,
% 6.02/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103)))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(219,plain,
% 6.02/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[218, 217])).
% 6.02/4.18 tff(220,plain,
% 6.02/4.18 (v13(constB104) <=> v9(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[219, 173, 216])).
% 6.02/4.18 tff(221,plain,
% 6.02/4.18 (^[VarNext: $i] : refl((v6(VarNext) <=> v13(VarNext)) <=> (v6(VarNext) <=> v13(VarNext)))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(222,plain,
% 6.02/4.18 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[221])).
% 6.02/4.18 tff(223,plain,
% 6.02/4.18 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(224,plain,
% 6.02/4.18 (^[VarNext: $i] : rewrite(($true => (v6(VarNext) <=> v13(VarNext))) <=> (v6(VarNext) <=> v13(VarNext)))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(225,plain,
% 6.02/4.18 (![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext))) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[224])).
% 6.02/4.18 tff(226,axiom,(![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch')).
% 6.02/4.18 tff(227,plain,
% 6.02/4.18 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[226, 225])).
% 6.02/4.18 tff(228,plain,
% 6.02/4.18 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[227, 223])).
% 6.02/4.18 tff(229,plain,(
% 6.02/4.18 ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.02/4.18 inference(skolemize,[status(sab)],[228])).
% 6.02/4.18 tff(230,plain,
% 6.02/4.18 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[229, 222])).
% 6.02/4.18 tff(231,plain,
% 6.02/4.18 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB104) <=> v13(constB104))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(232,plain,
% 6.02/4.18 (v6(constB104) <=> v13(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[231, 230])).
% 6.02/4.18 tff(233,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl(((~v21(VarCurr)) <=> v6(VarCurr)) <=> ((~v21(VarCurr)) <=> v6(VarCurr)))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(234,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[233])).
% 6.02/4.18 tff(235,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(236,axiom,(![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_1')).
% 6.02/4.18 tff(237,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[236, 235])).
% 6.02/4.18 tff(238,plain,(
% 6.02/4.18 ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.02/4.18 inference(skolemize,[status(sab)],[237])).
% 6.02/4.18 tff(239,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[238, 234])).
% 6.02/4.18 tff(240,plain,
% 6.02/4.18 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB104)) <=> v6(constB104))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(241,plain,
% 6.02/4.18 ((~v21(constB104)) <=> v6(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[240, 239])).
% 6.02/4.18 tff(242,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl((v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(243,plain,
% 6.02/4.18 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[242])).
% 6.02/4.18 tff(244,plain,
% 6.02/4.18 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(245,axiom,(![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges')).
% 6.02/4.18 tff(246,plain,
% 6.02/4.18 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[245, 244])).
% 6.02/4.18 tff(247,plain,(
% 6.02/4.18 ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[246])).
% 6.02/4.18 tff(248,plain,
% 6.02/4.18 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[247, 243])).
% 6.02/4.18 tff(249,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB104) <=> (v20(constB104) | v21(constB104)))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(250,plain,
% 6.02/4.18 (v19(constB104) <=> (v20(constB104) | v21(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[249, 248])).
% 6.02/4.18 tff(251,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl((v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(252,plain,
% 6.02/4.18 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[251])).
% 6.02/4.18 tff(253,plain,
% 6.02/4.18 (^[VarCurr: $i] : rewrite((v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(254,plain,
% 6.02/4.18 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[253])).
% 6.02/4.18 tff(255,plain,
% 6.02/4.18 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(256,axiom,(![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2')).
% 6.02/4.18 tff(257,plain,
% 6.02/4.18 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[256, 255])).
% 6.02/4.18 tff(258,plain,(
% 6.02/4.18 ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[257])).
% 6.02/4.18 tff(259,plain,
% 6.02/4.18 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[258, 254])).
% 6.02/4.18 tff(260,plain,
% 6.02/4.18 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[259, 252])).
% 6.02/4.18 tff(261,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB104) <=> (~((~v19(constB104)) | (~v22(constB104)))))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(262,plain,
% 6.02/4.18 (v18(constB104) <=> (~((~v19(constB104)) | (~v22(constB104))))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[261, 260])).
% 6.02/4.18 tff(263,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl(((~v4(VarCurr)) <=> v18(VarCurr)) <=> ((~v4(VarCurr)) <=> v18(VarCurr)))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(264,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[263])).
% 6.02/4.18 tff(265,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(266,axiom,(![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_2')).
% 6.02/4.18 tff(267,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[266, 265])).
% 6.02/4.18 tff(268,plain,(
% 6.02/4.18 ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.02/4.18 inference(skolemize,[status(sab)],[267])).
% 6.02/4.18 tff(269,plain,
% 6.02/4.18 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[268, 264])).
% 6.02/4.18 tff(270,plain,
% 6.02/4.18 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB104)) <=> v18(constB104))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(271,plain,
% 6.02/4.18 ((~v4(constB104)) <=> v18(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[270, 269])).
% 6.02/4.18 tff(272,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl(v4(VarCurr) <=> v4(VarCurr))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(273,plain,
% 6.02/4.18 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 6.02/4.18 inference(quant_intro,[status(thm)],[272])).
% 6.02/4.18 tff(274,plain,
% 6.02/4.18 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(275,axiom,(![VarCurr: $i] : v4(VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption')).
% 6.02/4.18 tff(276,plain,
% 6.02/4.18 (![VarCurr: $i] : v4(VarCurr)),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[275, 274])).
% 6.02/4.18 tff(277,plain,(
% 6.02/4.18 ![VarCurr: $i] : v4(VarCurr)),
% 6.02/4.18 inference(skolemize,[status(sab)],[276])).
% 6.02/4.18 tff(278,plain,
% 6.02/4.18 (![VarCurr: $i] : v4(VarCurr)),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[277, 273])).
% 6.02/4.18 tff(279,plain,
% 6.02/4.18 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB104)),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(280,plain,
% 6.02/4.18 (v4(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[279, 278])).
% 6.02/4.18 tff(281,plain,
% 6.02/4.18 ((~((~v4(constB104)) <=> v18(constB104))) | (~v4(constB104)) | (~v18(constB104))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(282,plain,
% 6.02/4.18 (~v18(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[281, 280, 271])).
% 6.02/4.18 tff(283,plain,
% 6.02/4.18 ((~(v18(constB104) <=> (~((~v19(constB104)) | (~v22(constB104)))))) | v18(constB104) | ((~v19(constB104)) | (~v22(constB104)))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(284,plain,
% 6.02/4.18 ((~v19(constB104)) | (~v22(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[283, 282, 262])).
% 6.02/4.18 tff(285,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl((v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(286,plain,
% 6.02/4.18 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[285])).
% 6.02/4.18 tff(287,plain,
% 6.02/4.18 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(288,axiom,(![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1')).
% 6.02/4.18 tff(289,plain,
% 6.02/4.18 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[288, 287])).
% 6.02/4.18 tff(290,plain,(
% 6.02/4.18 ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.02/4.18 inference(skolemize,[status(sab)],[289])).
% 6.02/4.18 tff(291,plain,
% 6.02/4.18 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[290, 286])).
% 6.02/4.18 tff(292,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB104) <=> (v1(constB104) | v6(constB104)))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(293,plain,
% 6.02/4.18 (v22(constB104) <=> (v1(constB104) | v6(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[292, 291])).
% 6.02/4.18 tff(294,plain,
% 6.02/4.18 ((v1(constB104) | v6(constB104)) | (~v1(constB104))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(295,plain,
% 6.02/4.18 (v1(constB104) | v6(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[294, 134])).
% 6.02/4.18 tff(296,plain,
% 6.02/4.18 ((~(v22(constB104) <=> (v1(constB104) | v6(constB104)))) | v22(constB104) | (~(v1(constB104) | v6(constB104)))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(297,plain,
% 6.02/4.18 ((~(v22(constB104) <=> (v1(constB104) | v6(constB104)))) | v22(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[296, 295])).
% 6.02/4.18 tff(298,plain,
% 6.02/4.18 (v22(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[297, 293])).
% 6.02/4.18 tff(299,plain,
% 6.02/4.18 ((~((~v19(constB104)) | (~v22(constB104)))) | (~v19(constB104)) | (~v22(constB104))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(300,plain,
% 6.02/4.18 ((~((~v19(constB104)) | (~v22(constB104)))) | (~v19(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[299, 298])).
% 6.02/4.18 tff(301,plain,
% 6.02/4.18 (~v19(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[300, 284])).
% 6.02/4.18 tff(302,plain,
% 6.02/4.18 ((~(v19(constB104) <=> (v20(constB104) | v21(constB104)))) | v19(constB104) | (~(v20(constB104) | v21(constB104)))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(303,plain,
% 6.02/4.18 (~(v20(constB104) | v21(constB104))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[302, 301, 250])).
% 6.02/4.18 tff(304,plain,
% 6.02/4.18 ((v20(constB104) | v21(constB104)) | (~v21(constB104))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(305,plain,
% 6.02/4.18 (~v21(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[304, 303])).
% 6.02/4.18 tff(306,plain,
% 6.02/4.18 ((~((~v21(constB104)) <=> v6(constB104))) | v21(constB104) | v6(constB104)),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(307,plain,
% 6.02/4.18 (v6(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[306, 305, 241])).
% 6.02/4.18 tff(308,plain,
% 6.02/4.18 ((~(v6(constB104) <=> v13(constB104))) | (~v6(constB104)) | v13(constB104)),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(309,plain,
% 6.02/4.18 (v13(constB104)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[308, 307, 232])).
% 6.02/4.18 tff(310,plain,
% 6.02/4.18 ((~(v13(constB104) <=> v9(constB103))) | (~v13(constB104)) | v9(constB103)),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(311,plain,
% 6.02/4.18 (v9(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[310, 309, 220])).
% 6.02/4.18 tff(312,plain,
% 6.02/4.18 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB103)) <=> v1(constB103))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(313,plain,
% 6.02/4.18 ((~v39(constB103)) <=> v1(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[312, 129])).
% 6.02/4.18 tff(314,plain,
% 6.02/4.18 ((~v1(constB103)) <=> (~v1(constB103))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(315,axiom,(~v1(constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_103')).
% 6.02/4.18 tff(316,plain,
% 6.02/4.18 (~v1(constB103)),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[315, 314])).
% 6.02/4.18 tff(317,plain,
% 6.02/4.18 ((~((~v39(constB103)) <=> v1(constB103))) | v39(constB103) | v1(constB103)),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(318,plain,
% 6.02/4.18 ((~((~v39(constB103)) <=> v1(constB103))) | v39(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[317, 316])).
% 6.02/4.18 tff(319,plain,
% 6.02/4.18 (v39(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[318, 313])).
% 6.02/4.18 tff(320,plain,
% 6.02/4.18 ((~((~v39(constB103)) | (~v9(constB103)))) | (~v39(constB103)) | (~v9(constB103))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(321,plain,
% 6.02/4.18 ((~((~v39(constB103)) | (~v9(constB103)))) | (~v9(constB103))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[320, 319])).
% 6.02/4.18 tff(322,plain,
% 6.02/4.18 (~((~v39(constB103)) | (~v9(constB103)))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[321, 311])).
% 6.02/4.18 tff(323,plain,
% 6.02/4.18 ((~(v184(constB103) <=> (~((~v39(constB103)) | (~v9(constB103)))))) | v184(constB103) | ((~v39(constB103)) | (~v9(constB103)))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(324,plain,
% 6.02/4.18 (v184(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[323, 322, 206])).
% 6.02/4.18 tff(325,plain,
% 6.02/4.18 ((v184(constB103) | v26(constB103)) | (~v184(constB103))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(326,plain,
% 6.02/4.18 (v184(constB103) | v26(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[325, 324])).
% 6.02/4.18 tff(327,plain,
% 6.02/4.18 ((~(v183(constB103) <=> (v184(constB103) | v26(constB103)))) | v183(constB103) | (~(v184(constB103) | v26(constB103)))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(328,plain,
% 6.02/4.18 (v183(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[327, 326, 204])).
% 6.02/4.18 tff(329,plain,
% 6.02/4.18 ((~((~v182(constB103)) <=> v183(constB103))) | (~v182(constB103)) | (~v183(constB103))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(330,plain,
% 6.02/4.18 (~v182(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[329, 328, 195])).
% 6.02/4.18 tff(331,plain,
% 6.02/4.18 (((~v157(constB103)) | (~v182(constB103))) | v182(constB103)),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(332,plain,
% 6.02/4.18 ((~v157(constB103)) | (~v182(constB103))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[331, 330])).
% 6.02/4.18 tff(333,plain,
% 6.02/4.18 ((~(v181(constB103) <=> (~((~v157(constB103)) | (~v182(constB103)))))) | (~v181(constB103)) | (~((~v157(constB103)) | (~v182(constB103))))),
% 6.02/4.18 inference(tautology,[status(thm)],[])).
% 6.02/4.18 tff(334,plain,
% 6.02/4.18 (~v181(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[333, 332, 186])).
% 6.02/4.18 tff(335,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB103) <=> (~((~v186(constB103)) | (~v187(constB103)))))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(336,plain,
% 6.02/4.18 (v185(constB103) <=> (~((~v186(constB103)) | (~v187(constB103))))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[335, 96])).
% 6.02/4.18 tff(337,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB103) <=> (~((~v184(constB103)) | (~v159(constB103)))))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(338,plain,
% 6.02/4.18 (v187(constB103) <=> (~((~v184(constB103)) | (~v159(constB103))))),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[337, 108])).
% 6.02/4.18 tff(339,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl((v159(VarCurr) <=> v161(VarCurr)) <=> (v159(VarCurr) <=> v161(VarCurr)))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(340,plain,
% 6.02/4.18 (![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr)) <=> ![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[339])).
% 6.02/4.18 tff(341,plain,
% 6.02/4.18 (![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr)) <=> ![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.18 tff(342,axiom,(![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_10')).
% 6.02/4.18 tff(343,plain,
% 6.02/4.18 (![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[342, 341])).
% 6.02/4.18 tff(344,plain,(
% 6.02/4.18 ![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))),
% 6.02/4.18 inference(skolemize,[status(sab)],[343])).
% 6.02/4.18 tff(345,plain,
% 6.02/4.18 (![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))),
% 6.02/4.18 inference(modus_ponens,[status(thm)],[344, 340])).
% 6.02/4.18 tff(346,plain,
% 6.02/4.18 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB103) <=> v161(constB103))),
% 6.02/4.18 inference(quant_inst,[status(thm)],[])).
% 6.02/4.18 tff(347,plain,
% 6.02/4.18 (v159(constB103) <=> v161(constB103)),
% 6.02/4.18 inference(unit_resolution,[status(thm)],[346, 345])).
% 6.02/4.18 tff(348,plain,
% 6.02/4.18 (^[VarCurr: $i] : refl((v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr))) <=> (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr))))),
% 6.02/4.18 inference(bind,[status(th)],[])).
% 6.02/4.18 tff(349,plain,
% 6.02/4.18 (![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 6.02/4.18 inference(quant_intro,[status(thm)],[348])).
% 6.02/4.18 tff(350,plain,
% 6.02/4.18 (![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 6.02/4.18 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(351,plain,
% 6.02/4.19 (^[VarCurr: $i] : rewrite((v164(VarCurr) <=> (v165(VarCurr) | v145(VarCurr))) <=> (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(352,plain,
% 6.02/4.19 (![VarCurr: $i] : (v164(VarCurr) <=> (v165(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[351])).
% 6.02/4.19 tff(353,axiom,(![VarCurr: $i] : (v164(VarCurr) <=> (v165(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39')).
% 6.02/4.19 tff(354,plain,
% 6.02/4.19 (![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[353, 352])).
% 6.02/4.19 tff(355,plain,
% 6.02/4.19 (![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[354, 350])).
% 6.02/4.19 tff(356,plain,(
% 6.02/4.19 ![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 6.02/4.19 inference(skolemize,[status(sab)],[355])).
% 6.02/4.19 tff(357,plain,
% 6.02/4.19 (![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[356, 349])).
% 6.02/4.19 tff(358,plain,
% 6.02/4.19 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB103) <=> (v145(constB103) | v165(constB103)))),
% 6.02/4.19 inference(quant_inst,[status(thm)],[])).
% 6.02/4.19 tff(359,plain,
% 6.02/4.19 (v164(constB103) <=> (v145(constB103) | v165(constB103))),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[358, 357])).
% 6.02/4.19 tff(360,plain,
% 6.02/4.19 (^[VarCurr: $i] : refl((v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr))) <=> (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(361,plain,
% 6.02/4.19 (![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[360])).
% 6.02/4.19 tff(362,plain,
% 6.02/4.19 (![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(363,plain,
% 6.02/4.19 (^[VarCurr: $i] : rewrite((v165(VarCurr) <=> (v166(VarCurr) | v142(VarCurr))) <=> (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(364,plain,
% 6.02/4.19 (![VarCurr: $i] : (v165(VarCurr) <=> (v166(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[363])).
% 6.02/4.19 tff(365,axiom,(![VarCurr: $i] : (v165(VarCurr) <=> (v166(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38')).
% 6.02/4.19 tff(366,plain,
% 6.02/4.19 (![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[365, 364])).
% 6.02/4.19 tff(367,plain,
% 6.02/4.19 (![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[366, 362])).
% 6.02/4.19 tff(368,plain,(
% 6.02/4.19 ![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 6.02/4.19 inference(skolemize,[status(sab)],[367])).
% 6.02/4.19 tff(369,plain,
% 6.02/4.19 (![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[368, 361])).
% 6.02/4.19 tff(370,plain,
% 6.02/4.19 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB103) <=> (v142(constB103) | v166(constB103)))),
% 6.02/4.19 inference(quant_inst,[status(thm)],[])).
% 6.02/4.19 tff(371,plain,
% 6.02/4.19 (v165(constB103) <=> (v142(constB103) | v166(constB103))),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[370, 369])).
% 6.02/4.19 tff(372,plain,
% 6.02/4.19 (^[VarCurr: $i] : refl((v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr))) <=> (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(373,plain,
% 6.02/4.19 (![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[372])).
% 6.02/4.19 tff(374,plain,
% 6.02/4.19 (![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(375,plain,
% 6.02/4.19 (^[VarCurr: $i] : rewrite((v166(VarCurr) <=> (v167(VarCurr) | v141(VarCurr))) <=> (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(376,plain,
% 6.02/4.19 (![VarCurr: $i] : (v166(VarCurr) <=> (v167(VarCurr) | v141(VarCurr))) <=> ![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[375])).
% 6.02/4.19 tff(377,axiom,(![VarCurr: $i] : (v166(VarCurr) <=> (v167(VarCurr) | v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37')).
% 6.02/4.19 tff(378,plain,
% 6.02/4.19 (![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[377, 376])).
% 6.02/4.19 tff(379,plain,
% 6.02/4.19 (![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[378, 374])).
% 6.02/4.19 tff(380,plain,(
% 6.02/4.19 ![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 6.02/4.19 inference(skolemize,[status(sab)],[379])).
% 6.02/4.19 tff(381,plain,
% 6.02/4.19 (![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[380, 373])).
% 6.02/4.19 tff(382,plain,
% 6.02/4.19 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB103) <=> (v141(constB103) | v167(constB103)))),
% 6.02/4.19 inference(quant_inst,[status(thm)],[])).
% 6.02/4.19 tff(383,plain,
% 6.02/4.19 (v166(constB103) <=> (v141(constB103) | v167(constB103))),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[382, 381])).
% 6.02/4.19 tff(384,plain,
% 6.02/4.19 (^[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))))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(385,plain,
% 6.02/4.19 (![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)))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[384])).
% 6.02/4.19 tff(386,plain,
% 6.02/4.19 (^[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))))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(387,plain,
% 6.02/4.19 (![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)))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[386])).
% 6.02/4.19 tff(388,plain,
% 6.02/4.19 (![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)))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(389,plain,
% 6.02/4.19 (^[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))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(390,plain,
% 6.02/4.19 (![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)))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[389])).
% 6.02/4.19 tff(391,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')).
% 6.02/4.19 tff(392,plain,
% 6.02/4.19 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[391, 390])).
% 6.02/4.19 tff(393,plain,
% 6.02/4.19 (![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[392, 388])).
% 6.02/4.19 tff(394,plain,(
% 6.02/4.19 ![VarCurr: $i] : (v141(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & v88(VarCurr, bitIndex0)))),
% 6.02/4.19 inference(skolemize,[status(sab)],[393])).
% 6.02/4.19 tff(395,plain,
% 6.02/4.19 (![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[394, 387])).
% 6.02/4.19 tff(396,plain,
% 6.02/4.19 (![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[395, 385])).
% 6.02/4.19 tff(397,plain,
% 6.02/4.19 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB103) <=> (~((~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB103) <=> (~((~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0))))))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(398,plain,
% 6.02/4.19 ((v141(constB103) <=> (~(v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0))))) <=> (v141(constB103) <=> (~((~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(399,plain,
% 6.02/4.19 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB103) <=> (~(v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB103) <=> (~((~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0))))))),
% 6.02/4.19 inference(monotonicity,[status(thm)],[398])).
% 6.02/4.19 tff(400,plain,
% 6.02/4.19 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB103) <=> (~(v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB103) <=> (~((~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0))))))),
% 6.02/4.19 inference(transitivity,[status(thm)],[399, 397])).
% 6.02/4.19 tff(401,plain,
% 6.02/4.19 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB103) <=> (~(v88(constB103, bitIndex2) | (~v88(constB103, bitIndex1)) | (~v88(constB103, bitIndex0)))))),
% 6.02/4.19 inference(quant_inst,[status(thm)],[])).
% 6.02/4.19 tff(402,plain,
% 6.02/4.19 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB103) <=> (~((~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[401, 400])).
% 6.02/4.19 tff(403,plain,
% 6.02/4.19 (v141(constB103) <=> (~((~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0))))),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[402, 396])).
% 6.02/4.19 tff(404,plain,
% 6.02/4.19 (^[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)))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(405,plain,
% 6.02/4.19 (![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))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[404])).
% 6.02/4.19 tff(406,plain,
% 6.02/4.19 (^[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)))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(407,plain,
% 6.02/4.19 (![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))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[406])).
% 6.02/4.19 tff(408,plain,
% 6.02/4.19 (![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)))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(409,plain,
% 6.02/4.19 (^[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))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(410,plain,
% 6.02/4.19 (![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)))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[409])).
% 6.02/4.19 tff(411,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')).
% 6.02/4.19 tff(412,plain,
% 6.02/4.19 (![VarCurr: $i] : ((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[411, 410])).
% 6.02/4.19 tff(413,plain,
% 6.02/4.19 (![VarCurr: $i] : ((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0)))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[412, 408])).
% 6.02/4.19 tff(414,plain,(
% 6.02/4.19 ![VarCurr: $i] : ((v88(VarCurr, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v88(VarCurr, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v88(VarCurr, bitIndex0) <=> v90(VarCurr, bitIndex0)))),
% 6.02/4.19 inference(skolemize,[status(sab)],[413])).
% 6.02/4.19 tff(415,plain,
% 6.02/4.19 (![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[414, 407])).
% 6.02/4.19 tff(416,plain,
% 6.02/4.19 (![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[415, 405])).
% 6.02/4.19 tff(417,plain,
% 6.02/4.19 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB103, bitIndex1)) <=> v90(constB103, bitIndex1)) | ((~v88(constB103, bitIndex2)) <=> v90(constB103, bitIndex2)) | ((~v88(constB103, bitIndex0)) <=> v90(constB103, bitIndex0))))),
% 6.02/4.19 inference(quant_inst,[status(thm)],[])).
% 6.02/4.19 tff(418,plain,
% 6.02/4.19 (~(((~v88(constB103, bitIndex1)) <=> v90(constB103, bitIndex1)) | ((~v88(constB103, bitIndex2)) <=> v90(constB103, bitIndex2)) | ((~v88(constB103, bitIndex0)) <=> v90(constB103, bitIndex0)))),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[417, 416])).
% 6.02/4.19 tff(419,plain,
% 6.02/4.19 ((((~v88(constB103, bitIndex1)) <=> v90(constB103, bitIndex1)) | ((~v88(constB103, bitIndex2)) <=> v90(constB103, bitIndex2)) | ((~v88(constB103, bitIndex0)) <=> v90(constB103, bitIndex0))) | (~((~v88(constB103, bitIndex2)) <=> v90(constB103, bitIndex2)))),
% 6.02/4.19 inference(tautology,[status(thm)],[])).
% 6.02/4.19 tff(420,plain,
% 6.02/4.19 (~((~v88(constB103, bitIndex2)) <=> v90(constB103, bitIndex2))),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[419, 418])).
% 6.02/4.19 tff(421,plain,
% 6.02/4.19 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(422,plain,
% 6.02/4.19 (![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))))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[421])).
% 6.02/4.19 tff(423,plain,
% 6.02/4.19 (^[VarNext: $i, VarCurr: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext)))))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(424,plain,
% 6.02/4.19 (![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))))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[423])).
% 6.02/4.19 tff(425,plain,
% 6.02/4.19 (![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))))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(426,plain,
% 6.02/4.19 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext)))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(427,plain,
% 6.02/4.19 (![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))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[426])).
% 6.02/4.19 tff(428,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27')).
% 6.02/4.19 tff(429,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[428, 427])).
% 6.02/4.19 tff(430,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[429, 425])).
% 6.02/4.19 tff(431,plain,(
% 6.02/4.19 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (v101(VarNext) & v110(VarNext))))),
% 6.02/4.19 inference(skolemize,[status(sab)],[430])).
% 6.02/4.19 tff(432,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[431, 424])).
% 6.02/4.19 tff(433,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[432, 422])).
% 6.02/4.19 tff(434,plain,
% 6.02/4.19 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(435,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_102')).
% 6.02/4.19 tff(436,plain,
% 6.02/4.19 (nextState(constB102, constB103)),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[435, 434])).
% 6.02/4.19 tff(437,plain,
% 6.02/4.19 (((~![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))))))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(438,plain,
% 6.02/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))))),
% 6.02/4.19 inference(quant_inst,[status(thm)],[])).
% 6.02/4.19 tff(439,plain,
% 6.02/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB102, constB103)) | (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[438, 437])).
% 6.02/4.19 tff(440,plain,
% 6.02/4.19 (v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103))))),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[439, 436, 433])).
% 6.02/4.19 tff(441,plain,
% 6.02/4.19 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(442,plain,
% 6.02/4.19 (![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))))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[441])).
% 6.02/4.19 tff(443,plain,
% 6.02/4.19 (^[VarNext: $i, VarCurr: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext)))))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(444,plain,
% 6.02/4.19 (![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))))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[443])).
% 6.02/4.19 tff(445,plain,
% 6.02/4.19 (![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))))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(446,plain,
% 6.02/4.19 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext)))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(447,plain,
% 6.02/4.19 (![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))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[446])).
% 6.02/4.19 tff(448,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18')).
% 6.02/4.19 tff(449,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[448, 447])).
% 6.02/4.19 tff(450,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[449, 445])).
% 6.02/4.19 tff(451,plain,(
% 6.02/4.19 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (v102(VarNext) & v1(VarNext))))),
% 6.02/4.19 inference(skolemize,[status(sab)],[450])).
% 6.02/4.19 tff(452,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[451, 444])).
% 6.02/4.19 tff(453,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[452, 442])).
% 6.02/4.19 tff(454,plain,
% 6.02/4.19 (((~![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))))))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(455,plain,
% 6.02/4.19 (((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103)))))) <=> ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(456,plain,
% 6.02/4.19 (((~![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)))))))),
% 6.02/4.19 inference(monotonicity,[status(thm)],[455])).
% 6.02/4.19 tff(457,plain,
% 6.02/4.19 (((~![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))))))),
% 6.02/4.19 inference(transitivity,[status(thm)],[456, 454])).
% 6.02/4.19 tff(458,plain,
% 6.02/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v102(constB103)) | (~v1(constB103))))))),
% 6.02/4.19 inference(quant_inst,[status(thm)],[])).
% 6.02/4.19 tff(459,plain,
% 6.02/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[458, 457])).
% 6.02/4.19 tff(460,plain,
% 6.02/4.19 (v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103))))),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[459, 436, 453])).
% 6.02/4.19 tff(461,plain,
% 6.02/4.19 (((~v1(constB103)) | (~v102(constB103))) | v1(constB103)),
% 6.02/4.19 inference(tautology,[status(thm)],[])).
% 6.02/4.19 tff(462,plain,
% 6.02/4.19 ((~v1(constB103)) | (~v102(constB103))),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[461, 316])).
% 6.02/4.19 tff(463,plain,
% 6.02/4.19 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103)) | (~((~v1(constB103)) | (~v102(constB103))))),
% 6.02/4.19 inference(tautology,[status(thm)],[])).
% 6.02/4.19 tff(464,plain,
% 6.02/4.19 ((~(v101(constB103) <=> (~((~v1(constB103)) | (~v102(constB103)))))) | (~v101(constB103))),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[463, 462])).
% 6.02/4.19 tff(465,plain,
% 6.02/4.19 (~v101(constB103)),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[464, 460])).
% 6.02/4.19 tff(466,plain,
% 6.02/4.19 (((~v101(constB103)) | (~v110(constB103))) | v101(constB103)),
% 6.02/4.19 inference(tautology,[status(thm)],[])).
% 6.02/4.19 tff(467,plain,
% 6.02/4.19 ((~v101(constB103)) | (~v110(constB103))),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[466, 465])).
% 6.02/4.19 tff(468,plain,
% 6.02/4.19 ((~(v100(constB103) <=> (~((~v101(constB103)) | (~v110(constB103)))))) | (~v100(constB103)) | (~((~v101(constB103)) | (~v110(constB103))))),
% 6.02/4.19 inference(tautology,[status(thm)],[])).
% 6.02/4.19 tff(469,plain,
% 6.02/4.19 (~v100(constB103)),
% 6.02/4.19 inference(unit_resolution,[status(thm)],[468, 467, 440])).
% 6.02/4.19 tff(470,plain,
% 6.02/4.19 (^[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))))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(471,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $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)))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[470])).
% 6.02/4.19 tff(472,plain,
% 6.02/4.19 (^[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))))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(473,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $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)))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[472])).
% 6.02/4.19 tff(474,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $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))))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(475,plain,
% 6.02/4.19 (^[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))))))),
% 6.02/4.19 inference(bind,[status(th)],[])).
% 6.02/4.19 tff(476,plain,
% 6.02/4.19 (![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))))),
% 6.02/4.19 inference(quant_intro,[status(thm)],[475])).
% 6.02/4.19 tff(477,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')).
% 6.02/4.19 tff(478,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[477, 476])).
% 6.02/4.19 tff(479,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[478, 474])).
% 6.02/4.19 tff(480,plain,(
% 6.02/4.19 ![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | ((v90(VarNext, bitIndex2) <=> v90(VarCurr, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v90(VarCurr, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v90(VarCurr, bitIndex0))))),
% 6.02/4.19 inference(skolemize,[status(sab)],[479])).
% 6.02/4.19 tff(481,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[480, 473])).
% 6.02/4.19 tff(482,plain,
% 6.02/4.19 (![VarNext: $i, VarCurr: $i] : (v100(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v90(VarCurr, bitIndex0)))))),
% 6.02/4.19 inference(modus_ponens,[status(thm)],[481, 471])).
% 6.02/4.19 tff(483,plain,
% 6.02/4.19 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.19 inference(rewrite,[status(thm)],[])).
% 6.02/4.19 tff(484,plain,
% 6.02/4.19 ((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)))))),
% 6.02/4.20 inference(rewrite,[status(thm)],[])).
% 6.02/4.20 tff(485,plain,
% 6.02/4.20 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.02/4.20 inference(monotonicity,[status(thm)],[484])).
% 6.02/4.20 tff(486,plain,
% 6.02/4.20 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.20 inference(transitivity,[status(thm)],[485, 483])).
% 6.02/4.20 tff(487,plain,
% 6.02/4.20 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.20 inference(quant_inst,[status(thm)],[])).
% 6.02/4.20 tff(488,plain,
% 6.02/4.20 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[487, 486])).
% 6.02/4.20 tff(489,plain,
% 6.02/4.20 (v100(constB103) | (~(((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))))),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[488, 436, 482])).
% 6.02/4.20 tff(490,plain,
% 6.02/4.20 (~(((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)))),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[489, 469])).
% 6.02/4.20 tff(491,plain,
% 6.02/4.20 ((((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))) | (~((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)))),
% 6.02/4.20 inference(tautology,[status(thm)],[])).
% 6.02/4.20 tff(492,plain,
% 6.02/4.20 (~((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2))),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[491, 490])).
% 6.02/4.20 tff(493,plain,
% 6.02/4.20 (^[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))))))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(494,plain,
% 6.02/4.20 (![VarNext: $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)))))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[493])).
% 6.02/4.20 tff(495,plain,
% 6.02/4.20 (^[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))))))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(496,plain,
% 6.02/4.20 (![VarNext: $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)))))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[495])).
% 6.02/4.20 tff(497,plain,
% 6.02/4.20 (![VarNext: $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))))),
% 6.02/4.20 inference(rewrite,[status(thm)],[])).
% 6.02/4.20 tff(498,plain,
% 6.02/4.20 (^[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))))))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(499,plain,
% 6.02/4.20 (![VarNext: $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))))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[498])).
% 6.02/4.20 tff(500,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')).
% 6.02/4.20 tff(501,plain,
% 6.02/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[500, 499])).
% 6.02/4.20 tff(502,plain,
% 6.02/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[501, 497])).
% 6.02/4.20 tff(503,plain,(
% 6.02/4.20 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((v129(VarNext, bitIndex2) <=> v127(VarCurr, bitIndex2)) & (v129(VarNext, bitIndex1) <=> v127(VarCurr, bitIndex1)) & (v129(VarNext, bitIndex0) <=> v127(VarCurr, bitIndex0))))),
% 6.02/4.20 inference(skolemize,[status(sab)],[502])).
% 6.02/4.20 tff(504,plain,
% 6.02/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[503, 496])).
% 6.02/4.20 tff(505,plain,
% 6.02/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~(((~v129(VarNext, bitIndex2)) <=> v127(VarCurr, bitIndex2)) | ((~v129(VarNext, bitIndex1)) <=> v127(VarCurr, bitIndex1)) | ((~v129(VarNext, bitIndex0)) <=> v127(VarCurr, bitIndex0)))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[504, 494])).
% 6.02/4.20 tff(506,plain,
% 6.02/4.20 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 6.02/4.20 inference(rewrite,[status(thm)],[])).
% 6.02/4.20 tff(507,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_101')).
% 6.02/4.20 tff(508,plain,
% 6.02/4.20 (nextState(constB101, constB102)),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[507, 506])).
% 6.02/4.20 tff(509,plain,
% 6.02/4.20 (((~![VarNext: $i, 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)))))),
% 6.02/4.20 inference(rewrite,[status(thm)],[])).
% 6.02/4.20 tff(510,plain,
% 6.02/4.20 ((~![VarNext: $i, 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)))))),
% 6.02/4.20 inference(quant_inst,[status(thm)],[])).
% 6.02/4.20 tff(511,plain,
% 6.02/4.20 ((~![VarNext: $i, 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))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[510, 509])).
% 6.02/4.20 tff(512,plain,
% 6.02/4.20 (~(((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0)))),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[511, 508, 505])).
% 6.02/4.20 tff(513,plain,
% 6.02/4.20 ((((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0))) | (~((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)))),
% 6.02/4.20 inference(tautology,[status(thm)],[])).
% 6.02/4.20 tff(514,plain,
% 6.02/4.20 (~((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2))),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[513, 512])).
% 6.02/4.20 tff(515,plain,
% 6.02/4.20 (^[VarCurr: $i] : refl((v111(VarCurr) <=> v26(VarCurr)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(516,plain,
% 6.02/4.20 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[515])).
% 6.02/4.20 tff(517,plain,
% 6.02/4.20 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.02/4.20 inference(rewrite,[status(thm)],[])).
% 6.02/4.20 tff(518,plain,
% 6.02/4.20 (^[VarCurr: $i] : rewrite((v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> (v111(VarCurr) <=> v26(VarCurr)))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(519,plain,
% 6.02/4.20 (![VarCurr: $i] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[518])).
% 6.02/4.20 tff(520,axiom,(![VarCurr: $i] : (v111(VarCurr) <=> (v26(VarCurr) <=> $true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_1')).
% 6.02/4.20 tff(521,plain,
% 6.02/4.20 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[520, 519])).
% 6.02/4.20 tff(522,plain,
% 6.02/4.20 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[521, 517])).
% 6.02/4.20 tff(523,plain,(
% 6.02/4.20 ![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.02/4.20 inference(skolemize,[status(sab)],[522])).
% 6.02/4.20 tff(524,plain,
% 6.02/4.20 (![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[523, 516])).
% 6.02/4.20 tff(525,plain,
% 6.02/4.20 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB101) <=> v26(constB101))),
% 6.02/4.20 inference(quant_inst,[status(thm)],[])).
% 6.02/4.20 tff(526,plain,
% 6.02/4.20 (v111(constB101) <=> v26(constB101)),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[525, 524])).
% 6.02/4.20 tff(527,plain,
% 6.02/4.20 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(528,plain,
% 6.02/4.20 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[527])).
% 6.02/4.20 tff(529,plain,
% 6.02/4.20 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 6.02/4.20 inference(rewrite,[status(thm)],[])).
% 6.02/4.20 tff(530,plain,
% 6.02/4.20 (^[VarCurr: $i] : rewrite((v26(VarCurr) <=> $false) <=> (~v26(VarCurr)))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(531,plain,
% 6.02/4.20 (![VarCurr: $i] : (v26(VarCurr) <=> $false) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[530])).
% 6.02/4.20 tff(532,axiom,(![VarCurr: $i] : (v26(VarCurr) <=> $false)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1')).
% 6.02/4.20 tff(533,plain,
% 6.02/4.20 (![VarCurr: $i] : (~v26(VarCurr))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[532, 531])).
% 6.02/4.20 tff(534,plain,
% 6.02/4.20 (![VarCurr: $i] : (~v26(VarCurr))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[533, 529])).
% 6.02/4.20 tff(535,plain,(
% 6.02/4.20 ![VarCurr: $i] : (~v26(VarCurr))),
% 6.02/4.20 inference(skolemize,[status(sab)],[534])).
% 6.02/4.20 tff(536,plain,
% 6.02/4.20 (![VarCurr: $i] : (~v26(VarCurr))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[535, 528])).
% 6.02/4.20 tff(537,plain,
% 6.02/4.20 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 6.02/4.20 inference(quant_inst,[status(thm)],[])).
% 6.02/4.20 tff(538,plain,
% 6.02/4.20 (~v26(constB101)),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[537, 536])).
% 6.02/4.20 tff(539,plain,
% 6.02/4.20 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101)) | v26(constB101)),
% 6.02/4.20 inference(tautology,[status(thm)],[])).
% 6.02/4.20 tff(540,plain,
% 6.02/4.20 ((~(v111(constB101) <=> v26(constB101))) | (~v111(constB101))),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[539, 538])).
% 6.02/4.20 tff(541,plain,
% 6.02/4.20 (~v111(constB101)),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[540, 526])).
% 6.02/4.20 tff(542,plain,
% 6.02/4.20 (^[VarCurr: $i] : refl((v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1))))) <=> (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1))))))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(543,plain,
% 6.02/4.20 (![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[542])).
% 6.02/4.20 tff(544,plain,
% 6.02/4.20 (^[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, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1))))))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(545,plain,
% 6.02/4.20 (![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, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[544])).
% 6.02/4.20 tff(546,plain,
% 6.02/4.20 (![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))))),
% 6.02/4.20 inference(rewrite,[status(thm)],[])).
% 6.02/4.20 tff(547,plain,
% 6.02/4.20 (^[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))))))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(548,plain,
% 6.02/4.20 (![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))))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[547])).
% 6.02/4.20 tff(549,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')).
% 6.02/4.20 tff(550,plain,
% 6.02/4.20 (![VarCurr: $i] : (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[549, 548])).
% 6.02/4.20 tff(551,plain,
% 6.02/4.20 (![VarCurr: $i] : (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[550, 546])).
% 6.02/4.20 tff(552,plain,(
% 6.02/4.20 ![VarCurr: $i] : (v111(VarCurr) | ((v127(VarCurr, bitIndex2) <=> v130(VarCurr, bitIndex2)) & (v127(VarCurr, bitIndex1) <=> v130(VarCurr, bitIndex1)) & (v127(VarCurr, bitIndex0) <=> v130(VarCurr, bitIndex0))))),
% 6.02/4.20 inference(skolemize,[status(sab)],[551])).
% 6.02/4.20 tff(553,plain,
% 6.02/4.20 (![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[552, 545])).
% 6.02/4.20 tff(554,plain,
% 6.02/4.20 (![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[553, 543])).
% 6.02/4.20 tff(555,plain,
% 6.02/4.20 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB101) | (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB101) | (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)))))),
% 6.02/4.20 inference(rewrite,[status(thm)],[])).
% 6.02/4.20 tff(556,plain,
% 6.02/4.20 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB101) | (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)))))),
% 6.02/4.20 inference(quant_inst,[status(thm)],[])).
% 6.02/4.20 tff(557,plain,
% 6.02/4.20 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB101) | (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[556, 555])).
% 6.02/4.20 tff(558,plain,
% 6.02/4.20 (v111(constB101) | (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1))))),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[557, 554])).
% 6.02/4.20 tff(559,plain,
% 6.02/4.20 (~(((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)))),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[558, 541])).
% 6.02/4.20 tff(560,plain,
% 6.02/4.20 ((((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1))) | (~((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)))),
% 6.02/4.20 inference(tautology,[status(thm)],[])).
% 6.02/4.20 tff(561,plain,
% 6.02/4.20 (~((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2))),
% 6.02/4.20 inference(unit_resolution,[status(thm)],[560, 559])).
% 6.02/4.20 tff(562,plain,
% 6.02/4.20 (^[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))))))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(563,plain,
% 6.02/4.20 (![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)))))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[562])).
% 6.02/4.20 tff(564,plain,
% 6.02/4.20 (^[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))))))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(565,plain,
% 6.02/4.20 (![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)))))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[564])).
% 6.02/4.20 tff(566,plain,
% 6.02/4.20 (![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))))),
% 6.02/4.20 inference(rewrite,[status(thm)],[])).
% 6.02/4.20 tff(567,plain,
% 6.02/4.20 (^[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)))))),
% 6.02/4.20 inference(bind,[status(th)],[])).
% 6.02/4.20 tff(568,plain,
% 6.02/4.20 (![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))))),
% 6.02/4.20 inference(quant_intro,[status(thm)],[567])).
% 6.02/4.20 tff(569,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')).
% 6.02/4.20 tff(570,plain,
% 6.02/4.20 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[569, 568])).
% 6.02/4.20 tff(571,plain,
% 6.02/4.20 (![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[570, 566])).
% 6.02/4.20 tff(572,plain,(
% 6.02/4.20 ![VarCurr: $i] : (v121(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 6.02/4.20 inference(skolemize,[status(sab)],[571])).
% 6.02/4.20 tff(573,plain,
% 6.02/4.20 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[572, 565])).
% 6.02/4.20 tff(574,plain,
% 6.02/4.20 (![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))),
% 6.02/4.20 inference(modus_ponens,[status(thm)],[573, 563])).
% 6.02/4.20 tff(575,plain,
% 6.02/4.20 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1))))))),
% 6.02/4.20 inference(rewrite,[status(thm)],[])).
% 6.02/4.20 tff(576,plain,
% 6.02/4.20 ((v121(constB101) <=> (~(v90(constB101, bitIndex0) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1))))) <=> (v121(constB101) <=> (~(v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)))))),
% 6.02/4.20 inference(rewrite,[status(thm)],[])).
% 6.02/4.20 tff(577,plain,
% 6.02/4.20 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex0) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1))))))),
% 6.02/4.21 inference(monotonicity,[status(thm)],[576])).
% 6.02/4.21 tff(578,plain,
% 6.02/4.21 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex0) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1))))))),
% 6.02/4.21 inference(transitivity,[status(thm)],[577, 575])).
% 6.02/4.21 tff(579,plain,
% 6.02/4.21 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex0) | v90(constB101, bitIndex2) | (~v90(constB101, bitIndex1)))))),
% 6.02/4.21 inference(quant_inst,[status(thm)],[])).
% 6.02/4.21 tff(580,plain,
% 6.02/4.21 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB101) <=> (~(v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)))))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[579, 578])).
% 6.02/4.21 tff(581,plain,
% 6.02/4.21 (v121(constB101) <=> (~(v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1))))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[580, 574])).
% 6.02/4.21 tff(582,plain,
% 6.02/4.21 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(583,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_100')).
% 6.02/4.21 tff(584,plain,
% 6.02/4.21 (nextState(constB100, constB101)),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[583, 582])).
% 6.02/4.21 tff(585,plain,
% 6.02/4.21 (((~![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))))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(586,plain,
% 6.02/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))))),
% 6.02/4.21 inference(quant_inst,[status(thm)],[])).
% 6.02/4.21 tff(587,plain,
% 6.02/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB100, constB101)) | (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[586, 585])).
% 6.02/4.21 tff(588,plain,
% 6.02/4.21 (v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101))))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[587, 584, 433])).
% 6.02/4.21 tff(589,plain,
% 6.02/4.21 (((~![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))))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(590,plain,
% 6.02/4.21 (((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101)))))) <=> ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(591,plain,
% 6.02/4.21 (((~![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)))))))),
% 6.02/4.21 inference(monotonicity,[status(thm)],[590])).
% 6.02/4.21 tff(592,plain,
% 6.02/4.21 (((~![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))))))),
% 6.02/4.21 inference(transitivity,[status(thm)],[591, 589])).
% 6.02/4.21 tff(593,plain,
% 6.02/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v102(constB101)) | (~v1(constB101))))))),
% 6.02/4.21 inference(quant_inst,[status(thm)],[])).
% 6.02/4.21 tff(594,plain,
% 6.02/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[593, 592])).
% 6.02/4.21 tff(595,plain,
% 6.02/4.21 (v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101))))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[594, 584, 453])).
% 6.02/4.21 tff(596,plain,
% 6.02/4.21 ((~v1(constB101)) <=> (~v1(constB101))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(597,axiom,(~v1(constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_101')).
% 6.02/4.21 tff(598,plain,
% 6.02/4.21 (~v1(constB101)),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[597, 596])).
% 6.02/4.21 tff(599,plain,
% 6.02/4.21 (((~v1(constB101)) | (~v102(constB101))) | v1(constB101)),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(600,plain,
% 6.02/4.21 ((~v1(constB101)) | (~v102(constB101))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[599, 598])).
% 6.02/4.21 tff(601,plain,
% 6.02/4.21 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101)) | (~((~v1(constB101)) | (~v102(constB101))))),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(602,plain,
% 6.02/4.21 ((~(v101(constB101) <=> (~((~v1(constB101)) | (~v102(constB101)))))) | (~v101(constB101))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[601, 600])).
% 6.02/4.21 tff(603,plain,
% 6.02/4.21 (~v101(constB101)),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[602, 595])).
% 6.02/4.21 tff(604,plain,
% 6.02/4.21 (((~v101(constB101)) | (~v110(constB101))) | v101(constB101)),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(605,plain,
% 6.02/4.21 ((~v101(constB101)) | (~v110(constB101))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[604, 603])).
% 6.02/4.21 tff(606,plain,
% 6.02/4.21 ((~(v100(constB101) <=> (~((~v101(constB101)) | (~v110(constB101)))))) | (~v100(constB101)) | (~((~v101(constB101)) | (~v110(constB101))))),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(607,plain,
% 6.02/4.21 (~v100(constB101)),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[606, 605, 588])).
% 6.02/4.21 tff(608,plain,
% 6.02/4.21 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(609,plain,
% 6.02/4.21 ((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)))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(610,plain,
% 6.02/4.21 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.02/4.21 inference(monotonicity,[status(thm)],[609])).
% 6.02/4.21 tff(611,plain,
% 6.02/4.21 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.21 inference(transitivity,[status(thm)],[610, 608])).
% 6.02/4.21 tff(612,plain,
% 6.02/4.21 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.21 inference(quant_inst,[status(thm)],[])).
% 6.02/4.21 tff(613,plain,
% 6.02/4.21 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[612, 611])).
% 6.02/4.21 tff(614,plain,
% 6.02/4.21 (v100(constB101) | (~(((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[613, 584, 482])).
% 6.02/4.21 tff(615,plain,
% 6.02/4.21 (~(((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[614, 607])).
% 6.02/4.21 tff(616,plain,
% 6.02/4.21 ((((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))) | (~((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)))),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(617,plain,
% 6.02/4.21 (~((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[616, 615])).
% 6.02/4.21 tff(618,plain,
% 6.02/4.21 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(619,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_99')).
% 6.02/4.21 tff(620,plain,
% 6.02/4.21 (nextState(constB99, constB100)),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[619, 618])).
% 6.02/4.21 tff(621,plain,
% 6.02/4.21 (((~![VarNext: $i, 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)))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(622,plain,
% 6.02/4.21 ((~![VarNext: $i, 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)))))),
% 6.02/4.21 inference(quant_inst,[status(thm)],[])).
% 6.02/4.21 tff(623,plain,
% 6.02/4.21 ((~![VarNext: $i, 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))))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[622, 621])).
% 6.02/4.21 tff(624,plain,
% 6.02/4.21 (~(((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0)))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[623, 620, 505])).
% 6.02/4.21 tff(625,plain,
% 6.02/4.21 ((((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0))) | (~((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)))),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(626,plain,
% 6.02/4.21 (~((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[625, 624])).
% 6.02/4.21 tff(627,plain,
% 6.02/4.21 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB99) <=> v26(constB99))),
% 6.02/4.21 inference(quant_inst,[status(thm)],[])).
% 6.02/4.21 tff(628,plain,
% 6.02/4.21 (v111(constB99) <=> v26(constB99)),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[627, 524])).
% 6.02/4.21 tff(629,plain,
% 6.02/4.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 6.02/4.21 inference(quant_inst,[status(thm)],[])).
% 6.02/4.21 tff(630,plain,
% 6.02/4.21 (~v26(constB99)),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[629, 536])).
% 6.02/4.21 tff(631,plain,
% 6.02/4.21 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99)) | v26(constB99)),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(632,plain,
% 6.02/4.21 ((~(v111(constB99) <=> v26(constB99))) | (~v111(constB99))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[631, 630])).
% 6.02/4.21 tff(633,plain,
% 6.02/4.21 (~v111(constB99)),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[632, 628])).
% 6.02/4.21 tff(634,plain,
% 6.02/4.21 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB99) | (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB99) | (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(635,plain,
% 6.02/4.21 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB99) | (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)))))),
% 6.02/4.21 inference(quant_inst,[status(thm)],[])).
% 6.02/4.21 tff(636,plain,
% 6.02/4.21 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB99) | (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1))))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[635, 634])).
% 6.02/4.21 tff(637,plain,
% 6.02/4.21 (v111(constB99) | (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1))))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[636, 554])).
% 6.02/4.21 tff(638,plain,
% 6.02/4.21 (~(((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[637, 633])).
% 6.02/4.21 tff(639,plain,
% 6.02/4.21 ((((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1))) | (~((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)))),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(640,plain,
% 6.02/4.21 (~((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[639, 638])).
% 6.02/4.21 tff(641,plain,
% 6.02/4.21 (^[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))))))),
% 6.02/4.21 inference(bind,[status(th)],[])).
% 6.02/4.21 tff(642,plain,
% 6.02/4.21 (![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)))))),
% 6.02/4.21 inference(quant_intro,[status(thm)],[641])).
% 6.02/4.21 tff(643,plain,
% 6.02/4.21 (^[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))))))),
% 6.02/4.21 inference(bind,[status(th)],[])).
% 6.02/4.21 tff(644,plain,
% 6.02/4.21 (![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)))))),
% 6.02/4.21 inference(quant_intro,[status(thm)],[643])).
% 6.02/4.21 tff(645,plain,
% 6.02/4.21 (![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)))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(646,plain,
% 6.02/4.21 (^[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))))),
% 6.02/4.21 inference(bind,[status(th)],[])).
% 6.02/4.21 tff(647,plain,
% 6.02/4.21 (![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)))),
% 6.02/4.21 inference(quant_intro,[status(thm)],[646])).
% 6.02/4.21 tff(648,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')).
% 6.02/4.21 tff(649,plain,
% 6.02/4.21 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[648, 647])).
% 6.02/4.21 tff(650,plain,
% 6.02/4.21 (![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[649, 645])).
% 6.02/4.21 tff(651,plain,(
% 6.02/4.21 ![VarCurr: $i] : (v120(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.02/4.21 inference(skolemize,[status(sab)],[650])).
% 6.02/4.21 tff(652,plain,
% 6.02/4.21 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[651, 644])).
% 6.02/4.21 tff(653,plain,
% 6.02/4.21 (![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[652, 642])).
% 6.02/4.21 tff(654,plain,
% 6.02/4.21 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB99) <=> (~(v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0)))))),
% 6.02/4.21 inference(quant_inst,[status(thm)],[])).
% 6.02/4.21 tff(655,plain,
% 6.02/4.21 (v120(constB99) <=> (~(v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0))))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[654, 653])).
% 6.02/4.21 tff(656,plain,
% 6.02/4.21 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(657,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_98')).
% 6.02/4.21 tff(658,plain,
% 6.02/4.21 (nextState(constB98, constB99)),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[657, 656])).
% 6.02/4.21 tff(659,plain,
% 6.02/4.21 (((~![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))))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(660,plain,
% 6.02/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))))),
% 6.02/4.21 inference(quant_inst,[status(thm)],[])).
% 6.02/4.21 tff(661,plain,
% 6.02/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB98, constB99)) | (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[660, 659])).
% 6.02/4.21 tff(662,plain,
% 6.02/4.21 (v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99))))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[661, 658, 433])).
% 6.02/4.21 tff(663,plain,
% 6.02/4.21 (((~![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))))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(664,plain,
% 6.02/4.21 (((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99)))))) <=> ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(665,plain,
% 6.02/4.21 (((~![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)))))))),
% 6.02/4.21 inference(monotonicity,[status(thm)],[664])).
% 6.02/4.21 tff(666,plain,
% 6.02/4.21 (((~![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))))))),
% 6.02/4.21 inference(transitivity,[status(thm)],[665, 663])).
% 6.02/4.21 tff(667,plain,
% 6.02/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v102(constB99)) | (~v1(constB99))))))),
% 6.02/4.21 inference(quant_inst,[status(thm)],[])).
% 6.02/4.21 tff(668,plain,
% 6.02/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[667, 666])).
% 6.02/4.21 tff(669,plain,
% 6.02/4.21 (v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99))))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[668, 658, 453])).
% 6.02/4.21 tff(670,plain,
% 6.02/4.21 ((~v1(constB99)) <=> (~v1(constB99))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(671,axiom,(~v1(constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_99')).
% 6.02/4.21 tff(672,plain,
% 6.02/4.21 (~v1(constB99)),
% 6.02/4.21 inference(modus_ponens,[status(thm)],[671, 670])).
% 6.02/4.21 tff(673,plain,
% 6.02/4.21 (((~v1(constB99)) | (~v102(constB99))) | v1(constB99)),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(674,plain,
% 6.02/4.21 ((~v1(constB99)) | (~v102(constB99))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[673, 672])).
% 6.02/4.21 tff(675,plain,
% 6.02/4.21 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99)) | (~((~v1(constB99)) | (~v102(constB99))))),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(676,plain,
% 6.02/4.21 ((~(v101(constB99) <=> (~((~v1(constB99)) | (~v102(constB99)))))) | (~v101(constB99))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[675, 674])).
% 6.02/4.21 tff(677,plain,
% 6.02/4.21 (~v101(constB99)),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[676, 669])).
% 6.02/4.21 tff(678,plain,
% 6.02/4.21 (((~v101(constB99)) | (~v110(constB99))) | v101(constB99)),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(679,plain,
% 6.02/4.21 ((~v101(constB99)) | (~v110(constB99))),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[678, 677])).
% 6.02/4.21 tff(680,plain,
% 6.02/4.21 ((~(v100(constB99) <=> (~((~v101(constB99)) | (~v110(constB99)))))) | (~v100(constB99)) | (~((~v101(constB99)) | (~v110(constB99))))),
% 6.02/4.21 inference(tautology,[status(thm)],[])).
% 6.02/4.21 tff(681,plain,
% 6.02/4.21 (~v100(constB99)),
% 6.02/4.21 inference(unit_resolution,[status(thm)],[680, 679, 662])).
% 6.02/4.21 tff(682,plain,
% 6.02/4.21 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(683,plain,
% 6.02/4.21 ((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)))))),
% 6.02/4.21 inference(rewrite,[status(thm)],[])).
% 6.02/4.21 tff(684,plain,
% 6.02/4.21 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.02/4.22 inference(monotonicity,[status(thm)],[683])).
% 6.02/4.22 tff(685,plain,
% 6.02/4.22 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.22 inference(transitivity,[status(thm)],[684, 682])).
% 6.02/4.22 tff(686,plain,
% 6.02/4.22 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.22 inference(quant_inst,[status(thm)],[])).
% 6.02/4.22 tff(687,plain,
% 6.02/4.22 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[686, 685])).
% 6.02/4.22 tff(688,plain,
% 6.02/4.22 (v100(constB99) | (~(((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[687, 658, 482])).
% 6.02/4.22 tff(689,plain,
% 6.02/4.22 (~(((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[688, 681])).
% 6.02/4.22 tff(690,plain,
% 6.02/4.22 ((((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))) | (~((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)))),
% 6.02/4.22 inference(tautology,[status(thm)],[])).
% 6.02/4.22 tff(691,plain,
% 6.02/4.22 (~((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[690, 689])).
% 6.02/4.22 tff(692,plain,
% 6.02/4.22 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(693,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_97')).
% 6.02/4.22 tff(694,plain,
% 6.02/4.22 (nextState(constB97, constB98)),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[693, 692])).
% 6.02/4.22 tff(695,plain,
% 6.02/4.22 (((~![VarNext: $i, 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)))))),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(696,plain,
% 6.02/4.22 ((~![VarNext: $i, 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)))))),
% 6.02/4.22 inference(quant_inst,[status(thm)],[])).
% 6.02/4.22 tff(697,plain,
% 6.02/4.22 ((~![VarNext: $i, 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))))),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[696, 695])).
% 6.02/4.22 tff(698,plain,
% 6.02/4.22 (~(((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0)))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[697, 694, 505])).
% 6.02/4.22 tff(699,plain,
% 6.02/4.22 ((((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0))) | (~((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)))),
% 6.02/4.22 inference(tautology,[status(thm)],[])).
% 6.02/4.22 tff(700,plain,
% 6.02/4.22 (~((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[699, 698])).
% 6.02/4.22 tff(701,plain,
% 6.02/4.22 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB97) <=> v26(constB97))),
% 6.02/4.22 inference(quant_inst,[status(thm)],[])).
% 6.02/4.22 tff(702,plain,
% 6.02/4.22 (v111(constB97) <=> v26(constB97)),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[701, 524])).
% 6.02/4.22 tff(703,plain,
% 6.02/4.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 6.02/4.22 inference(quant_inst,[status(thm)],[])).
% 6.02/4.22 tff(704,plain,
% 6.02/4.22 (~v26(constB97)),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[703, 536])).
% 6.02/4.22 tff(705,plain,
% 6.02/4.22 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97)) | v26(constB97)),
% 6.02/4.22 inference(tautology,[status(thm)],[])).
% 6.02/4.22 tff(706,plain,
% 6.02/4.22 ((~(v111(constB97) <=> v26(constB97))) | (~v111(constB97))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[705, 704])).
% 6.02/4.22 tff(707,plain,
% 6.02/4.22 (~v111(constB97)),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[706, 702])).
% 6.02/4.22 tff(708,plain,
% 6.02/4.22 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB97) | (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB97) | (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)))))),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(709,plain,
% 6.02/4.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB97) | (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)))))),
% 6.02/4.22 inference(quant_inst,[status(thm)],[])).
% 6.02/4.22 tff(710,plain,
% 6.02/4.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB97) | (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1))))),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[709, 708])).
% 6.02/4.22 tff(711,plain,
% 6.02/4.22 (v111(constB97) | (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1))))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[710, 554])).
% 6.02/4.22 tff(712,plain,
% 6.02/4.22 (~(((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[711, 707])).
% 6.02/4.22 tff(713,plain,
% 6.02/4.22 ((((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1))) | (~((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)))),
% 6.02/4.22 inference(tautology,[status(thm)],[])).
% 6.02/4.22 tff(714,plain,
% 6.02/4.22 (~((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[713, 712])).
% 6.02/4.22 tff(715,plain,
% 6.02/4.22 (^[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)))))),
% 6.02/4.22 inference(bind,[status(th)],[])).
% 6.02/4.22 tff(716,plain,
% 6.02/4.22 (![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))))),
% 6.02/4.22 inference(quant_intro,[status(thm)],[715])).
% 6.02/4.22 tff(717,plain,
% 6.02/4.22 (^[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)))))),
% 6.02/4.22 inference(bind,[status(th)],[])).
% 6.02/4.22 tff(718,plain,
% 6.02/4.22 (![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))))),
% 6.02/4.22 inference(quant_intro,[status(thm)],[717])).
% 6.02/4.22 tff(719,plain,
% 6.02/4.22 (![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))))),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(720,plain,
% 6.02/4.22 (^[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)))))),
% 6.02/4.22 inference(bind,[status(th)],[])).
% 6.02/4.22 tff(721,plain,
% 6.02/4.22 (![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))))),
% 6.02/4.22 inference(quant_intro,[status(thm)],[720])).
% 6.02/4.22 tff(722,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')).
% 6.02/4.22 tff(723,plain,
% 6.02/4.22 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[722, 721])).
% 6.02/4.22 tff(724,plain,
% 6.02/4.22 (![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[723, 719])).
% 6.02/4.22 tff(725,plain,(
% 6.02/4.22 ![VarCurr: $i] : (v119(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.02/4.22 inference(skolemize,[status(sab)],[724])).
% 6.02/4.22 tff(726,plain,
% 6.02/4.22 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[725, 718])).
% 6.02/4.22 tff(727,plain,
% 6.02/4.22 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[726, 716])).
% 6.02/4.22 tff(728,plain,
% 6.02/4.22 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))))),
% 6.02/4.22 inference(quant_inst,[status(thm)],[])).
% 6.02/4.22 tff(729,plain,
% 6.02/4.22 (v119(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[728, 727])).
% 6.02/4.22 tff(730,plain,
% 6.02/4.22 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(731,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_96')).
% 6.02/4.22 tff(732,plain,
% 6.02/4.22 (nextState(constB96, constB97)),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[731, 730])).
% 6.02/4.22 tff(733,plain,
% 6.02/4.22 (((~![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))))))),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(734,plain,
% 6.02/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))))),
% 6.02/4.22 inference(quant_inst,[status(thm)],[])).
% 6.02/4.22 tff(735,plain,
% 6.02/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB96, constB97)) | (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[734, 733])).
% 6.02/4.22 tff(736,plain,
% 6.02/4.22 (v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97))))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[735, 732, 433])).
% 6.02/4.22 tff(737,plain,
% 6.02/4.22 (((~![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))))))),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(738,plain,
% 6.02/4.22 (((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97)))))) <=> ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))))),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(739,plain,
% 6.02/4.22 (((~![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)))))))),
% 6.02/4.22 inference(monotonicity,[status(thm)],[738])).
% 6.02/4.22 tff(740,plain,
% 6.02/4.22 (((~![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))))))),
% 6.02/4.22 inference(transitivity,[status(thm)],[739, 737])).
% 6.02/4.22 tff(741,plain,
% 6.02/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v102(constB97)) | (~v1(constB97))))))),
% 6.02/4.22 inference(quant_inst,[status(thm)],[])).
% 6.02/4.22 tff(742,plain,
% 6.02/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[741, 740])).
% 6.02/4.22 tff(743,plain,
% 6.02/4.22 (v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97))))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[742, 732, 453])).
% 6.02/4.22 tff(744,plain,
% 6.02/4.22 ((~v1(constB97)) <=> (~v1(constB97))),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(745,axiom,(~v1(constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_97')).
% 6.02/4.22 tff(746,plain,
% 6.02/4.22 (~v1(constB97)),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[745, 744])).
% 6.02/4.22 tff(747,plain,
% 6.02/4.22 (((~v1(constB97)) | (~v102(constB97))) | v1(constB97)),
% 6.02/4.22 inference(tautology,[status(thm)],[])).
% 6.02/4.22 tff(748,plain,
% 6.02/4.22 ((~v1(constB97)) | (~v102(constB97))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[747, 746])).
% 6.02/4.22 tff(749,plain,
% 6.02/4.22 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97)) | (~((~v1(constB97)) | (~v102(constB97))))),
% 6.02/4.22 inference(tautology,[status(thm)],[])).
% 6.02/4.22 tff(750,plain,
% 6.02/4.22 ((~(v101(constB97) <=> (~((~v1(constB97)) | (~v102(constB97)))))) | (~v101(constB97))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[749, 748])).
% 6.02/4.22 tff(751,plain,
% 6.02/4.22 (~v101(constB97)),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[750, 743])).
% 6.02/4.22 tff(752,plain,
% 6.02/4.22 (((~v101(constB97)) | (~v110(constB97))) | v101(constB97)),
% 6.02/4.22 inference(tautology,[status(thm)],[])).
% 6.02/4.22 tff(753,plain,
% 6.02/4.22 ((~v101(constB97)) | (~v110(constB97))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[752, 751])).
% 6.02/4.22 tff(754,plain,
% 6.02/4.22 ((~(v100(constB97) <=> (~((~v101(constB97)) | (~v110(constB97)))))) | (~v100(constB97)) | (~((~v101(constB97)) | (~v110(constB97))))),
% 6.02/4.22 inference(tautology,[status(thm)],[])).
% 6.02/4.22 tff(755,plain,
% 6.02/4.22 (~v100(constB97)),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[754, 753, 736])).
% 6.02/4.22 tff(756,plain,
% 6.02/4.22 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(757,plain,
% 6.02/4.22 ((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)))))),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(758,plain,
% 6.02/4.22 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.02/4.22 inference(monotonicity,[status(thm)],[757])).
% 6.02/4.22 tff(759,plain,
% 6.02/4.22 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.22 inference(transitivity,[status(thm)],[758, 756])).
% 6.02/4.22 tff(760,plain,
% 6.02/4.22 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.02/4.22 inference(quant_inst,[status(thm)],[])).
% 6.02/4.22 tff(761,plain,
% 6.02/4.22 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[760, 759])).
% 6.02/4.22 tff(762,plain,
% 6.02/4.22 (v100(constB97) | (~(((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[761, 732, 482])).
% 6.02/4.22 tff(763,plain,
% 6.02/4.22 (~(((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[762, 755])).
% 6.02/4.22 tff(764,plain,
% 6.02/4.22 ((((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))) | (~((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)))),
% 6.02/4.22 inference(tautology,[status(thm)],[])).
% 6.02/4.22 tff(765,plain,
% 6.02/4.22 (~((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2))),
% 6.02/4.22 inference(unit_resolution,[status(thm)],[764, 763])).
% 6.02/4.22 tff(766,plain,
% 6.02/4.22 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(767,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_95')).
% 6.02/4.22 tff(768,plain,
% 6.02/4.22 (nextState(constB95, constB96)),
% 6.02/4.22 inference(modus_ponens,[status(thm)],[767, 766])).
% 6.02/4.22 tff(769,plain,
% 6.02/4.22 (((~![VarNext: $i, 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)))))),
% 6.02/4.22 inference(rewrite,[status(thm)],[])).
% 6.02/4.22 tff(770,plain,
% 6.02/4.22 ((~![VarNext: $i, 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)))))),
% 6.02/4.22 inference(quant_inst,[status(thm)],[])).
% 6.02/4.22 tff(771,plain,
% 6.02/4.22 ((~![VarNext: $i, 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))))),
% 6.02/4.23 inference(modus_ponens,[status(thm)],[770, 769])).
% 6.02/4.23 tff(772,plain,
% 6.02/4.23 (~(((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0)))),
% 6.02/4.23 inference(unit_resolution,[status(thm)],[771, 768, 505])).
% 6.02/4.23 tff(773,plain,
% 6.02/4.23 ((((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0))) | (~((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)))),
% 6.02/4.23 inference(tautology,[status(thm)],[])).
% 6.02/4.23 tff(774,plain,
% 6.02/4.23 (~((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2))),
% 6.02/4.23 inference(unit_resolution,[status(thm)],[773, 772])).
% 6.02/4.23 tff(775,plain,
% 6.02/4.23 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB95) <=> v26(constB95))),
% 6.02/4.23 inference(quant_inst,[status(thm)],[])).
% 6.02/4.23 tff(776,plain,
% 6.02/4.23 (v111(constB95) <=> v26(constB95)),
% 6.02/4.23 inference(unit_resolution,[status(thm)],[775, 524])).
% 6.02/4.23 tff(777,plain,
% 6.02/4.23 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 6.02/4.23 inference(quant_inst,[status(thm)],[])).
% 6.02/4.23 tff(778,plain,
% 6.02/4.23 (~v26(constB95)),
% 6.02/4.23 inference(unit_resolution,[status(thm)],[777, 536])).
% 6.02/4.23 tff(779,plain,
% 6.02/4.23 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95)) | v26(constB95)),
% 6.02/4.23 inference(tautology,[status(thm)],[])).
% 6.02/4.23 tff(780,plain,
% 6.02/4.23 ((~(v111(constB95) <=> v26(constB95))) | (~v111(constB95))),
% 6.02/4.23 inference(unit_resolution,[status(thm)],[779, 778])).
% 6.02/4.23 tff(781,plain,
% 6.02/4.23 (~v111(constB95)),
% 6.02/4.23 inference(unit_resolution,[status(thm)],[780, 776])).
% 6.02/4.23 tff(782,plain,
% 6.02/4.23 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB95) | (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB95) | (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)))))),
% 6.02/4.23 inference(rewrite,[status(thm)],[])).
% 6.02/4.23 tff(783,plain,
% 6.02/4.23 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB95) | (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)))))),
% 6.02/4.23 inference(quant_inst,[status(thm)],[])).
% 6.02/4.23 tff(784,plain,
% 6.02/4.23 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB95) | (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1))))),
% 6.02/4.23 inference(modus_ponens,[status(thm)],[783, 782])).
% 6.02/4.23 tff(785,plain,
% 6.02/4.23 (v111(constB95) | (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1))))),
% 6.02/4.23 inference(unit_resolution,[status(thm)],[784, 554])).
% 6.02/4.23 tff(786,plain,
% 6.02/4.23 (~(((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)))),
% 6.02/4.23 inference(unit_resolution,[status(thm)],[785, 781])).
% 6.02/4.23 tff(787,plain,
% 6.02/4.23 ((((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1))) | (~((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)))),
% 6.02/4.23 inference(tautology,[status(thm)],[])).
% 6.02/4.23 tff(788,plain,
% 6.02/4.23 (~((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2))),
% 6.02/4.23 inference(unit_resolution,[status(thm)],[787, 786])).
% 6.02/4.23 tff(789,plain,
% 6.02/4.23 (^[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))))))),
% 6.02/4.23 inference(bind,[status(th)],[])).
% 6.02/4.23 tff(790,plain,
% 6.02/4.23 (![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)))))),
% 6.02/4.23 inference(quant_intro,[status(thm)],[789])).
% 6.02/4.23 tff(791,plain,
% 6.02/4.23 (^[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))))))),
% 6.02/4.23 inference(bind,[status(th)],[])).
% 6.02/4.23 tff(792,plain,
% 6.02/4.23 (![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)))))),
% 6.02/4.23 inference(quant_intro,[status(thm)],[791])).
% 6.02/4.23 tff(793,plain,
% 6.02/4.23 (![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)))),
% 6.02/4.23 inference(rewrite,[status(thm)],[])).
% 6.02/4.23 tff(794,plain,
% 6.02/4.23 (^[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))))),
% 6.02/4.23 inference(bind,[status(th)],[])).
% 6.02/4.23 tff(795,plain,
% 6.02/4.23 (![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)))),
% 6.02/4.23 inference(quant_intro,[status(thm)],[794])).
% 6.02/4.23 tff(796,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')).
% 6.02/4.23 tff(797,plain,
% 6.02/4.23 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.02/4.23 inference(modus_ponens,[status(thm)],[796, 795])).
% 6.02/4.23 tff(798,plain,
% 6.02/4.23 (![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.02/4.23 inference(modus_ponens,[status(thm)],[797, 793])).
% 6.02/4.23 tff(799,plain,(
% 6.02/4.23 ![VarCurr: $i] : (v124(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & v90(VarCurr, bitIndex0)))),
% 6.02/4.23 inference(skolemize,[status(sab)],[798])).
% 6.02/4.23 tff(800,plain,
% 6.02/4.23 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 6.02/4.23 inference(modus_ponens,[status(thm)],[799, 792])).
% 6.02/4.23 tff(801,plain,
% 6.02/4.23 (![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))),
% 6.02/4.23 inference(modus_ponens,[status(thm)],[800, 790])).
% 6.02/4.23 tff(802,plain,
% 6.02/4.23 (((~![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))))))),
% 6.02/4.23 inference(rewrite,[status(thm)],[])).
% 6.02/4.23 tff(803,plain,
% 6.02/4.23 ((v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2))))) <=> (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0)))))),
% 6.02/4.23 inference(rewrite,[status(thm)],[])).
% 6.02/4.23 tff(804,plain,
% 6.02/4.23 (((~![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))))))),
% 6.02/4.23 inference(monotonicity,[status(thm)],[803])).
% 6.02/4.23 tff(805,plain,
% 6.02/4.23 (((~![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))))))),
% 6.02/4.23 inference(transitivity,[status(thm)],[804, 802])).
% 6.02/4.23 tff(806,plain,
% 6.02/4.23 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex0)) | (~v90(constB95, bitIndex2)))))),
% 6.02/4.23 inference(quant_inst,[status(thm)],[])).
% 6.02/4.23 tff(807,plain,
% 6.02/4.23 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0)))))),
% 6.02/4.23 inference(modus_ponens,[status(thm)],[806, 805])).
% 6.02/4.23 tff(808,plain,
% 6.02/4.23 (v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0))))),
% 6.02/4.23 inference(unit_resolution,[status(thm)],[807, 801])).
% 6.02/4.23 tff(809,plain,
% 6.02/4.23 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 6.02/4.23 inference(rewrite,[status(thm)],[])).
% 6.02/4.23 tff(810,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_94')).
% 6.02/4.23 tff(811,plain,
% 6.02/4.23 (nextState(constB94, constB95)),
% 6.02/4.23 inference(modus_ponens,[status(thm)],[810, 809])).
% 6.02/4.23 tff(812,plain,
% 6.02/4.23 (((~![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))))))),
% 6.02/4.23 inference(rewrite,[status(thm)],[])).
% 6.02/4.23 tff(813,plain,
% 6.02/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))))),
% 6.12/4.23 inference(quant_inst,[status(thm)],[])).
% 6.12/4.23 tff(814,plain,
% 6.12/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB94, constB95)) | (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))),
% 6.12/4.23 inference(modus_ponens,[status(thm)],[813, 812])).
% 6.12/4.23 tff(815,plain,
% 6.12/4.23 (v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95))))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[814, 811, 433])).
% 6.12/4.23 tff(816,plain,
% 6.12/4.23 (((~![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))))))),
% 6.12/4.23 inference(rewrite,[status(thm)],[])).
% 6.12/4.23 tff(817,plain,
% 6.12/4.23 (((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95)))))) <=> ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))))),
% 6.12/4.23 inference(rewrite,[status(thm)],[])).
% 6.12/4.23 tff(818,plain,
% 6.12/4.23 (((~![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)))))))),
% 6.12/4.23 inference(monotonicity,[status(thm)],[817])).
% 6.12/4.23 tff(819,plain,
% 6.12/4.23 (((~![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))))))),
% 6.12/4.23 inference(transitivity,[status(thm)],[818, 816])).
% 6.12/4.23 tff(820,plain,
% 6.12/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v102(constB95)) | (~v1(constB95))))))),
% 6.12/4.23 inference(quant_inst,[status(thm)],[])).
% 6.12/4.23 tff(821,plain,
% 6.12/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))),
% 6.12/4.23 inference(modus_ponens,[status(thm)],[820, 819])).
% 6.12/4.23 tff(822,plain,
% 6.12/4.23 (v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95))))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[821, 811, 453])).
% 6.12/4.23 tff(823,plain,
% 6.12/4.23 ((~v1(constB95)) <=> (~v1(constB95))),
% 6.12/4.23 inference(rewrite,[status(thm)],[])).
% 6.12/4.23 tff(824,axiom,(~v1(constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_95')).
% 6.12/4.23 tff(825,plain,
% 6.12/4.23 (~v1(constB95)),
% 6.12/4.23 inference(modus_ponens,[status(thm)],[824, 823])).
% 6.12/4.23 tff(826,plain,
% 6.12/4.23 (((~v1(constB95)) | (~v102(constB95))) | v1(constB95)),
% 6.12/4.23 inference(tautology,[status(thm)],[])).
% 6.12/4.23 tff(827,plain,
% 6.12/4.23 ((~v1(constB95)) | (~v102(constB95))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[826, 825])).
% 6.12/4.23 tff(828,plain,
% 6.12/4.23 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95)) | (~((~v1(constB95)) | (~v102(constB95))))),
% 6.12/4.23 inference(tautology,[status(thm)],[])).
% 6.12/4.23 tff(829,plain,
% 6.12/4.23 ((~(v101(constB95) <=> (~((~v1(constB95)) | (~v102(constB95)))))) | (~v101(constB95))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[828, 827])).
% 6.12/4.23 tff(830,plain,
% 6.12/4.23 (~v101(constB95)),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[829, 822])).
% 6.12/4.23 tff(831,plain,
% 6.12/4.23 (((~v101(constB95)) | (~v110(constB95))) | v101(constB95)),
% 6.12/4.23 inference(tautology,[status(thm)],[])).
% 6.12/4.23 tff(832,plain,
% 6.12/4.23 ((~v101(constB95)) | (~v110(constB95))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[831, 830])).
% 6.12/4.23 tff(833,plain,
% 6.12/4.23 ((~(v100(constB95) <=> (~((~v101(constB95)) | (~v110(constB95)))))) | (~v100(constB95)) | (~((~v101(constB95)) | (~v110(constB95))))),
% 6.12/4.23 inference(tautology,[status(thm)],[])).
% 6.12/4.23 tff(834,plain,
% 6.12/4.23 (~v100(constB95)),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[833, 832, 815])).
% 6.12/4.23 tff(835,plain,
% 6.12/4.23 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.23 inference(rewrite,[status(thm)],[])).
% 6.12/4.23 tff(836,plain,
% 6.12/4.23 ((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)))))),
% 6.12/4.23 inference(rewrite,[status(thm)],[])).
% 6.12/4.23 tff(837,plain,
% 6.12/4.23 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.12/4.23 inference(monotonicity,[status(thm)],[836])).
% 6.12/4.23 tff(838,plain,
% 6.12/4.23 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.23 inference(transitivity,[status(thm)],[837, 835])).
% 6.12/4.23 tff(839,plain,
% 6.12/4.23 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.23 inference(quant_inst,[status(thm)],[])).
% 6.12/4.23 tff(840,plain,
% 6.12/4.23 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.12/4.23 inference(modus_ponens,[status(thm)],[839, 838])).
% 6.12/4.23 tff(841,plain,
% 6.12/4.23 (v100(constB95) | (~(((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[840, 811, 482])).
% 6.12/4.23 tff(842,plain,
% 6.12/4.23 (~(((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[841, 834])).
% 6.12/4.23 tff(843,plain,
% 6.12/4.23 ((((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))) | (~((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)))),
% 6.12/4.23 inference(tautology,[status(thm)],[])).
% 6.12/4.23 tff(844,plain,
% 6.12/4.23 (~((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[843, 842])).
% 6.12/4.23 tff(845,plain,
% 6.12/4.23 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 6.12/4.23 inference(rewrite,[status(thm)],[])).
% 6.12/4.23 tff(846,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_93')).
% 6.12/4.23 tff(847,plain,
% 6.12/4.23 (nextState(constB93, constB94)),
% 6.12/4.23 inference(modus_ponens,[status(thm)],[846, 845])).
% 6.12/4.23 tff(848,plain,
% 6.12/4.23 (((~![VarNext: $i, 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)))))),
% 6.12/4.23 inference(rewrite,[status(thm)],[])).
% 6.12/4.23 tff(849,plain,
% 6.12/4.23 ((~![VarNext: $i, 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)))))),
% 6.12/4.23 inference(quant_inst,[status(thm)],[])).
% 6.12/4.23 tff(850,plain,
% 6.12/4.23 ((~![VarNext: $i, 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))))),
% 6.12/4.23 inference(modus_ponens,[status(thm)],[849, 848])).
% 6.12/4.23 tff(851,plain,
% 6.12/4.23 (~(((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0)))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[850, 847, 505])).
% 6.12/4.23 tff(852,plain,
% 6.12/4.23 ((((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0))) | (~((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)))),
% 6.12/4.23 inference(tautology,[status(thm)],[])).
% 6.12/4.23 tff(853,plain,
% 6.12/4.23 (~((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[852, 851])).
% 6.12/4.23 tff(854,plain,
% 6.12/4.23 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB93) <=> v26(constB93))),
% 6.12/4.23 inference(quant_inst,[status(thm)],[])).
% 6.12/4.23 tff(855,plain,
% 6.12/4.23 (v111(constB93) <=> v26(constB93)),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[854, 524])).
% 6.12/4.23 tff(856,plain,
% 6.12/4.23 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 6.12/4.23 inference(quant_inst,[status(thm)],[])).
% 6.12/4.23 tff(857,plain,
% 6.12/4.23 (~v26(constB93)),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[856, 536])).
% 6.12/4.23 tff(858,plain,
% 6.12/4.23 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93)) | v26(constB93)),
% 6.12/4.23 inference(tautology,[status(thm)],[])).
% 6.12/4.23 tff(859,plain,
% 6.12/4.23 ((~(v111(constB93) <=> v26(constB93))) | (~v111(constB93))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[858, 857])).
% 6.12/4.23 tff(860,plain,
% 6.12/4.23 (~v111(constB93)),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[859, 855])).
% 6.12/4.23 tff(861,plain,
% 6.12/4.23 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB93) | (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB93) | (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)))))),
% 6.12/4.23 inference(rewrite,[status(thm)],[])).
% 6.12/4.23 tff(862,plain,
% 6.12/4.23 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB93) | (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)))))),
% 6.12/4.23 inference(quant_inst,[status(thm)],[])).
% 6.12/4.23 tff(863,plain,
% 6.12/4.23 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB93) | (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1))))),
% 6.12/4.23 inference(modus_ponens,[status(thm)],[862, 861])).
% 6.12/4.23 tff(864,plain,
% 6.12/4.23 (v111(constB93) | (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1))))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[863, 554])).
% 6.12/4.23 tff(865,plain,
% 6.12/4.23 (~(((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[864, 860])).
% 6.12/4.23 tff(866,plain,
% 6.12/4.23 ((((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1))) | (~((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)))),
% 6.12/4.23 inference(tautology,[status(thm)],[])).
% 6.12/4.23 tff(867,plain,
% 6.12/4.23 (~((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2))),
% 6.12/4.23 inference(unit_resolution,[status(thm)],[866, 865])).
% 6.12/4.23 tff(868,plain,
% 6.12/4.23 (^[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))))))),
% 6.12/4.23 inference(bind,[status(th)],[])).
% 6.12/4.23 tff(869,plain,
% 6.12/4.23 (![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)))))),
% 6.12/4.23 inference(quant_intro,[status(thm)],[868])).
% 6.12/4.23 tff(870,plain,
% 6.12/4.23 (^[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))))))),
% 6.12/4.23 inference(bind,[status(th)],[])).
% 6.12/4.23 tff(871,plain,
% 6.12/4.23 (![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)))))),
% 6.12/4.23 inference(quant_intro,[status(thm)],[870])).
% 6.12/4.23 tff(872,plain,
% 6.12/4.23 (![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))))),
% 6.12/4.23 inference(rewrite,[status(thm)],[])).
% 6.12/4.23 tff(873,plain,
% 6.12/4.23 (^[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)))))),
% 6.12/4.23 inference(bind,[status(th)],[])).
% 6.12/4.23 tff(874,plain,
% 6.12/4.23 (![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))))),
% 6.12/4.23 inference(quant_intro,[status(thm)],[873])).
% 6.12/4.23 tff(875,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')).
% 6.12/4.23 tff(876,plain,
% 6.12/4.23 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.12/4.23 inference(modus_ponens,[status(thm)],[875, 874])).
% 6.12/4.23 tff(877,plain,
% 6.12/4.23 (![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[876, 872])).
% 6.12/4.24 tff(878,plain,(
% 6.12/4.24 ![VarCurr: $i] : (v123(VarCurr) <=> (v90(VarCurr, bitIndex2) & (~v90(VarCurr, bitIndex1)) & (~v90(VarCurr, bitIndex0))))),
% 6.12/4.24 inference(skolemize,[status(sab)],[877])).
% 6.12/4.24 tff(879,plain,
% 6.12/4.24 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[878, 871])).
% 6.12/4.24 tff(880,plain,
% 6.12/4.24 (![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[879, 869])).
% 6.12/4.24 tff(881,plain,
% 6.12/4.24 (((~![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))))))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(882,plain,
% 6.12/4.24 ((v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2))))) <=> (v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(883,plain,
% 6.12/4.24 (((~![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))))))),
% 6.12/4.24 inference(monotonicity,[status(thm)],[882])).
% 6.12/4.24 tff(884,plain,
% 6.12/4.24 (((~![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))))))),
% 6.12/4.24 inference(transitivity,[status(thm)],[883, 881])).
% 6.12/4.24 tff(885,plain,
% 6.12/4.24 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)))))),
% 6.12/4.24 inference(quant_inst,[status(thm)],[])).
% 6.12/4.24 tff(886,plain,
% 6.12/4.24 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[885, 884])).
% 6.12/4.24 tff(887,plain,
% 6.12/4.24 (v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2))))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[886, 880])).
% 6.12/4.24 tff(888,plain,
% 6.12/4.24 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(889,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_92')).
% 6.12/4.24 tff(890,plain,
% 6.12/4.24 (nextState(constB92, constB93)),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[889, 888])).
% 6.12/4.24 tff(891,plain,
% 6.12/4.24 (((~![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))))))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(892,plain,
% 6.12/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))))),
% 6.12/4.24 inference(quant_inst,[status(thm)],[])).
% 6.12/4.24 tff(893,plain,
% 6.12/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB92, constB93)) | (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[892, 891])).
% 6.12/4.24 tff(894,plain,
% 6.12/4.24 (v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93))))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[893, 890, 433])).
% 6.12/4.24 tff(895,plain,
% 6.12/4.24 (((~![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))))))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(896,plain,
% 6.12/4.24 (((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93)))))) <=> ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(897,plain,
% 6.12/4.24 (((~![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)))))))),
% 6.12/4.24 inference(monotonicity,[status(thm)],[896])).
% 6.12/4.24 tff(898,plain,
% 6.12/4.24 (((~![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))))))),
% 6.12/4.24 inference(transitivity,[status(thm)],[897, 895])).
% 6.12/4.24 tff(899,plain,
% 6.12/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v102(constB93)) | (~v1(constB93))))))),
% 6.12/4.24 inference(quant_inst,[status(thm)],[])).
% 6.12/4.24 tff(900,plain,
% 6.12/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[899, 898])).
% 6.12/4.24 tff(901,plain,
% 6.12/4.24 (v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93))))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[900, 890, 453])).
% 6.12/4.24 tff(902,plain,
% 6.12/4.24 ((~v1(constB93)) <=> (~v1(constB93))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(903,axiom,(~v1(constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_93')).
% 6.12/4.24 tff(904,plain,
% 6.12/4.24 (~v1(constB93)),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[903, 902])).
% 6.12/4.24 tff(905,plain,
% 6.12/4.24 (((~v1(constB93)) | (~v102(constB93))) | v1(constB93)),
% 6.12/4.24 inference(tautology,[status(thm)],[])).
% 6.12/4.24 tff(906,plain,
% 6.12/4.24 ((~v1(constB93)) | (~v102(constB93))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[905, 904])).
% 6.12/4.24 tff(907,plain,
% 6.12/4.24 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93)) | (~((~v1(constB93)) | (~v102(constB93))))),
% 6.12/4.24 inference(tautology,[status(thm)],[])).
% 6.12/4.24 tff(908,plain,
% 6.12/4.24 ((~(v101(constB93) <=> (~((~v1(constB93)) | (~v102(constB93)))))) | (~v101(constB93))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[907, 906])).
% 6.12/4.24 tff(909,plain,
% 6.12/4.24 (~v101(constB93)),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[908, 901])).
% 6.12/4.24 tff(910,plain,
% 6.12/4.24 (((~v101(constB93)) | (~v110(constB93))) | v101(constB93)),
% 6.12/4.24 inference(tautology,[status(thm)],[])).
% 6.12/4.24 tff(911,plain,
% 6.12/4.24 ((~v101(constB93)) | (~v110(constB93))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[910, 909])).
% 6.12/4.24 tff(912,plain,
% 6.12/4.24 ((~(v100(constB93) <=> (~((~v101(constB93)) | (~v110(constB93)))))) | (~v100(constB93)) | (~((~v101(constB93)) | (~v110(constB93))))),
% 6.12/4.24 inference(tautology,[status(thm)],[])).
% 6.12/4.24 tff(913,plain,
% 6.12/4.24 (~v100(constB93)),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[912, 911, 894])).
% 6.12/4.24 tff(914,plain,
% 6.12/4.24 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(915,plain,
% 6.12/4.24 ((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)))))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(916,plain,
% 6.12/4.24 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.12/4.24 inference(monotonicity,[status(thm)],[915])).
% 6.12/4.24 tff(917,plain,
% 6.12/4.24 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.24 inference(transitivity,[status(thm)],[916, 914])).
% 6.12/4.24 tff(918,plain,
% 6.12/4.24 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.24 inference(quant_inst,[status(thm)],[])).
% 6.12/4.24 tff(919,plain,
% 6.12/4.24 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[918, 917])).
% 6.12/4.24 tff(920,plain,
% 6.12/4.24 (v100(constB93) | (~(((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[919, 890, 482])).
% 6.12/4.24 tff(921,plain,
% 6.12/4.24 (~(((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[920, 913])).
% 6.12/4.24 tff(922,plain,
% 6.12/4.24 ((((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))) | (~((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)))),
% 6.12/4.24 inference(tautology,[status(thm)],[])).
% 6.12/4.24 tff(923,plain,
% 6.12/4.24 (~((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[922, 921])).
% 6.12/4.24 tff(924,plain,
% 6.12/4.24 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(925,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_91')).
% 6.12/4.24 tff(926,plain,
% 6.12/4.24 (nextState(constB91, constB92)),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[925, 924])).
% 6.12/4.24 tff(927,plain,
% 6.12/4.24 (((~![VarNext: $i, 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)))))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(928,plain,
% 6.12/4.24 ((~![VarNext: $i, 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)))))),
% 6.12/4.24 inference(quant_inst,[status(thm)],[])).
% 6.12/4.24 tff(929,plain,
% 6.12/4.24 ((~![VarNext: $i, 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))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[928, 927])).
% 6.12/4.24 tff(930,plain,
% 6.12/4.24 (~(((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0)))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[929, 926, 505])).
% 6.12/4.24 tff(931,plain,
% 6.12/4.24 ((((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0))) | (~((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)))),
% 6.12/4.24 inference(tautology,[status(thm)],[])).
% 6.12/4.24 tff(932,plain,
% 6.12/4.24 (~((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[931, 930])).
% 6.12/4.24 tff(933,plain,
% 6.12/4.24 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB91) <=> v26(constB91))),
% 6.12/4.24 inference(quant_inst,[status(thm)],[])).
% 6.12/4.24 tff(934,plain,
% 6.12/4.24 (v111(constB91) <=> v26(constB91)),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[933, 524])).
% 6.12/4.24 tff(935,plain,
% 6.12/4.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 6.12/4.24 inference(quant_inst,[status(thm)],[])).
% 6.12/4.24 tff(936,plain,
% 6.12/4.24 (~v26(constB91)),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[935, 536])).
% 6.12/4.24 tff(937,plain,
% 6.12/4.24 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91)) | v26(constB91)),
% 6.12/4.24 inference(tautology,[status(thm)],[])).
% 6.12/4.24 tff(938,plain,
% 6.12/4.24 ((~(v111(constB91) <=> v26(constB91))) | (~v111(constB91))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[937, 936])).
% 6.12/4.24 tff(939,plain,
% 6.12/4.24 (~v111(constB91)),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[938, 934])).
% 6.12/4.24 tff(940,plain,
% 6.12/4.24 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB91) | (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB91) | (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)))))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(941,plain,
% 6.12/4.24 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB91) | (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)))))),
% 6.12/4.24 inference(quant_inst,[status(thm)],[])).
% 6.12/4.24 tff(942,plain,
% 6.12/4.24 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB91) | (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[941, 940])).
% 6.12/4.24 tff(943,plain,
% 6.12/4.24 (v111(constB91) | (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1))))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[942, 554])).
% 6.12/4.24 tff(944,plain,
% 6.12/4.24 (~(((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[943, 939])).
% 6.12/4.24 tff(945,plain,
% 6.12/4.24 ((((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1))) | (~((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)))),
% 6.12/4.24 inference(tautology,[status(thm)],[])).
% 6.12/4.24 tff(946,plain,
% 6.12/4.24 (~((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[945, 944])).
% 6.12/4.24 tff(947,plain,
% 6.12/4.24 (^[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))))))),
% 6.12/4.24 inference(bind,[status(th)],[])).
% 6.12/4.24 tff(948,plain,
% 6.12/4.24 (![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)))))),
% 6.12/4.24 inference(quant_intro,[status(thm)],[947])).
% 6.12/4.24 tff(949,plain,
% 6.12/4.24 (^[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))))))),
% 6.12/4.24 inference(bind,[status(th)],[])).
% 6.12/4.24 tff(950,plain,
% 6.12/4.24 (![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)))))),
% 6.12/4.24 inference(quant_intro,[status(thm)],[949])).
% 6.12/4.24 tff(951,plain,
% 6.12/4.24 (![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)))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(952,plain,
% 6.12/4.24 (^[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))))),
% 6.12/4.24 inference(bind,[status(th)],[])).
% 6.12/4.24 tff(953,plain,
% 6.12/4.24 (![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)))),
% 6.12/4.24 inference(quant_intro,[status(thm)],[952])).
% 6.12/4.24 tff(954,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')).
% 6.12/4.24 tff(955,plain,
% 6.12/4.24 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[954, 953])).
% 6.12/4.24 tff(956,plain,
% 6.12/4.24 (![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[955, 951])).
% 6.12/4.24 tff(957,plain,(
% 6.12/4.24 ![VarCurr: $i] : (v122(VarCurr) <=> ((~v90(VarCurr, bitIndex2)) & v90(VarCurr, bitIndex1) & v90(VarCurr, bitIndex0)))),
% 6.12/4.24 inference(skolemize,[status(sab)],[956])).
% 6.12/4.24 tff(958,plain,
% 6.12/4.24 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[957, 950])).
% 6.12/4.24 tff(959,plain,
% 6.12/4.24 (![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[958, 948])).
% 6.12/4.24 tff(960,plain,
% 6.12/4.24 (((~![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))))))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(961,plain,
% 6.12/4.24 ((v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1))))) <=> (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.24 tff(962,plain,
% 6.12/4.24 (((~![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))))))),
% 6.12/4.24 inference(monotonicity,[status(thm)],[961])).
% 6.12/4.24 tff(963,plain,
% 6.12/4.24 (((~![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))))))),
% 6.12/4.24 inference(transitivity,[status(thm)],[962, 960])).
% 6.12/4.24 tff(964,plain,
% 6.12/4.24 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)))))),
% 6.12/4.24 inference(quant_inst,[status(thm)],[])).
% 6.12/4.24 tff(965,plain,
% 6.12/4.24 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))),
% 6.12/4.24 inference(modus_ponens,[status(thm)],[964, 963])).
% 6.12/4.24 tff(966,plain,
% 6.12/4.24 (v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))))),
% 6.12/4.24 inference(unit_resolution,[status(thm)],[965, 959])).
% 6.12/4.24 tff(967,plain,
% 6.12/4.24 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 6.12/4.24 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(968,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_90')).
% 6.12/4.25 tff(969,plain,
% 6.12/4.25 (nextState(constB90, constB91)),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[968, 967])).
% 6.12/4.25 tff(970,plain,
% 6.12/4.25 (((~![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))))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(971,plain,
% 6.12/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))))),
% 6.12/4.25 inference(quant_inst,[status(thm)],[])).
% 6.12/4.25 tff(972,plain,
% 6.12/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB90, constB91)) | (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[971, 970])).
% 6.12/4.25 tff(973,plain,
% 6.12/4.25 (v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91))))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[972, 969, 433])).
% 6.12/4.25 tff(974,plain,
% 6.12/4.25 (((~![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))))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(975,plain,
% 6.12/4.25 (((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91)))))) <=> ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(976,plain,
% 6.12/4.25 (((~![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)))))))),
% 6.12/4.25 inference(monotonicity,[status(thm)],[975])).
% 6.12/4.25 tff(977,plain,
% 6.12/4.25 (((~![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))))))),
% 6.12/4.25 inference(transitivity,[status(thm)],[976, 974])).
% 6.12/4.25 tff(978,plain,
% 6.12/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v102(constB91)) | (~v1(constB91))))))),
% 6.12/4.25 inference(quant_inst,[status(thm)],[])).
% 6.12/4.25 tff(979,plain,
% 6.12/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[978, 977])).
% 6.12/4.25 tff(980,plain,
% 6.12/4.25 (v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91))))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[979, 969, 453])).
% 6.12/4.25 tff(981,plain,
% 6.12/4.25 ((~v1(constB91)) <=> (~v1(constB91))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(982,axiom,(~v1(constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_91')).
% 6.12/4.25 tff(983,plain,
% 6.12/4.25 (~v1(constB91)),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[982, 981])).
% 6.12/4.25 tff(984,plain,
% 6.12/4.25 (((~v1(constB91)) | (~v102(constB91))) | v1(constB91)),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(985,plain,
% 6.12/4.25 ((~v1(constB91)) | (~v102(constB91))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[984, 983])).
% 6.12/4.25 tff(986,plain,
% 6.12/4.25 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91)) | (~((~v1(constB91)) | (~v102(constB91))))),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(987,plain,
% 6.12/4.25 ((~(v101(constB91) <=> (~((~v1(constB91)) | (~v102(constB91)))))) | (~v101(constB91))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[986, 985])).
% 6.12/4.25 tff(988,plain,
% 6.12/4.25 (~v101(constB91)),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[987, 980])).
% 6.12/4.25 tff(989,plain,
% 6.12/4.25 (((~v101(constB91)) | (~v110(constB91))) | v101(constB91)),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(990,plain,
% 6.12/4.25 ((~v101(constB91)) | (~v110(constB91))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[989, 988])).
% 6.12/4.25 tff(991,plain,
% 6.12/4.25 ((~(v100(constB91) <=> (~((~v101(constB91)) | (~v110(constB91)))))) | (~v100(constB91)) | (~((~v101(constB91)) | (~v110(constB91))))),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(992,plain,
% 6.12/4.25 (~v100(constB91)),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[991, 990, 973])).
% 6.12/4.25 tff(993,plain,
% 6.12/4.25 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(994,plain,
% 6.12/4.25 ((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)))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(995,plain,
% 6.12/4.25 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.12/4.25 inference(monotonicity,[status(thm)],[994])).
% 6.12/4.25 tff(996,plain,
% 6.12/4.25 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.25 inference(transitivity,[status(thm)],[995, 993])).
% 6.12/4.25 tff(997,plain,
% 6.12/4.25 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.25 inference(quant_inst,[status(thm)],[])).
% 6.12/4.25 tff(998,plain,
% 6.12/4.25 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[997, 996])).
% 6.12/4.25 tff(999,plain,
% 6.12/4.25 (v100(constB91) | (~(((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[998, 969, 482])).
% 6.12/4.25 tff(1000,plain,
% 6.12/4.25 (~(((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[999, 992])).
% 6.12/4.25 tff(1001,plain,
% 6.12/4.25 ((((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))) | (~((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)))),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(1002,plain,
% 6.12/4.25 (~((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1001, 1000])).
% 6.12/4.25 tff(1003,plain,
% 6.12/4.25 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(1004,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_89')).
% 6.12/4.25 tff(1005,plain,
% 6.12/4.25 (nextState(constB89, constB90)),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[1004, 1003])).
% 6.12/4.25 tff(1006,plain,
% 6.12/4.25 (((~![VarNext: $i, 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)))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(1007,plain,
% 6.12/4.25 ((~![VarNext: $i, 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)))))),
% 6.12/4.25 inference(quant_inst,[status(thm)],[])).
% 6.12/4.25 tff(1008,plain,
% 6.12/4.25 ((~![VarNext: $i, 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))))),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[1007, 1006])).
% 6.12/4.25 tff(1009,plain,
% 6.12/4.25 (~(((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0)))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1008, 1005, 505])).
% 6.12/4.25 tff(1010,plain,
% 6.12/4.25 ((((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0))) | (~((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)))),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(1011,plain,
% 6.12/4.25 (~((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1010, 1009])).
% 6.12/4.25 tff(1012,plain,
% 6.12/4.25 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB89) <=> v26(constB89))),
% 6.12/4.25 inference(quant_inst,[status(thm)],[])).
% 6.12/4.25 tff(1013,plain,
% 6.12/4.25 (v111(constB89) <=> v26(constB89)),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1012, 524])).
% 6.12/4.25 tff(1014,plain,
% 6.12/4.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 6.12/4.25 inference(quant_inst,[status(thm)],[])).
% 6.12/4.25 tff(1015,plain,
% 6.12/4.25 (~v26(constB89)),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1014, 536])).
% 6.12/4.25 tff(1016,plain,
% 6.12/4.25 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89)) | v26(constB89)),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(1017,plain,
% 6.12/4.25 ((~(v111(constB89) <=> v26(constB89))) | (~v111(constB89))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1016, 1015])).
% 6.12/4.25 tff(1018,plain,
% 6.12/4.25 (~v111(constB89)),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1017, 1013])).
% 6.12/4.25 tff(1019,plain,
% 6.12/4.25 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB89) | (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB89) | (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(1020,plain,
% 6.12/4.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB89) | (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)))))),
% 6.12/4.25 inference(quant_inst,[status(thm)],[])).
% 6.12/4.25 tff(1021,plain,
% 6.12/4.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB89) | (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1))))),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[1020, 1019])).
% 6.12/4.25 tff(1022,plain,
% 6.12/4.25 (v111(constB89) | (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1))))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1021, 554])).
% 6.12/4.25 tff(1023,plain,
% 6.12/4.25 (~(((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1022, 1018])).
% 6.12/4.25 tff(1024,plain,
% 6.12/4.25 ((((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1))) | (~((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)))),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(1025,plain,
% 6.12/4.25 (~((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1024, 1023])).
% 6.12/4.25 tff(1026,plain,
% 6.12/4.25 (((~![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))))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(1027,plain,
% 6.12/4.25 ((v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1))))) <=> (v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(1028,plain,
% 6.12/4.25 (((~![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))))))),
% 6.12/4.25 inference(monotonicity,[status(thm)],[1027])).
% 6.12/4.25 tff(1029,plain,
% 6.12/4.25 (((~![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))))))),
% 6.12/4.25 inference(transitivity,[status(thm)],[1028, 1026])).
% 6.12/4.25 tff(1030,plain,
% 6.12/4.25 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex0) | v90(constB89, bitIndex2) | (~v90(constB89, bitIndex1)))))),
% 6.12/4.25 inference(quant_inst,[status(thm)],[])).
% 6.12/4.25 tff(1031,plain,
% 6.12/4.25 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))))),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 6.12/4.25 tff(1032,plain,
% 6.12/4.25 (v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1))))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1031, 574])).
% 6.12/4.25 tff(1033,plain,
% 6.12/4.25 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(1034,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_88')).
% 6.12/4.25 tff(1035,plain,
% 6.12/4.25 (nextState(constB88, constB89)),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 6.12/4.25 tff(1036,plain,
% 6.12/4.25 (((~![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))))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(1037,plain,
% 6.12/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))))),
% 6.12/4.25 inference(quant_inst,[status(thm)],[])).
% 6.12/4.25 tff(1038,plain,
% 6.12/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB88, constB89)) | (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 6.12/4.25 tff(1039,plain,
% 6.12/4.25 (v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89))))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1038, 1035, 433])).
% 6.12/4.25 tff(1040,plain,
% 6.12/4.25 (((~![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))))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(1041,plain,
% 6.12/4.25 (((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89)))))) <=> ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(1042,plain,
% 6.12/4.25 (((~![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)))))))),
% 6.12/4.25 inference(monotonicity,[status(thm)],[1041])).
% 6.12/4.25 tff(1043,plain,
% 6.12/4.25 (((~![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))))))),
% 6.12/4.25 inference(transitivity,[status(thm)],[1042, 1040])).
% 6.12/4.25 tff(1044,plain,
% 6.12/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v102(constB89)) | (~v1(constB89))))))),
% 6.12/4.25 inference(quant_inst,[status(thm)],[])).
% 6.12/4.25 tff(1045,plain,
% 6.12/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 6.12/4.25 tff(1046,plain,
% 6.12/4.25 (v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89))))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1045, 1035, 453])).
% 6.12/4.25 tff(1047,plain,
% 6.12/4.25 ((~v1(constB89)) <=> (~v1(constB89))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(1048,axiom,(~v1(constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_89')).
% 6.12/4.25 tff(1049,plain,
% 6.12/4.25 (~v1(constB89)),
% 6.12/4.25 inference(modus_ponens,[status(thm)],[1048, 1047])).
% 6.12/4.25 tff(1050,plain,
% 6.12/4.25 (((~v1(constB89)) | (~v102(constB89))) | v1(constB89)),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(1051,plain,
% 6.12/4.25 ((~v1(constB89)) | (~v102(constB89))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1050, 1049])).
% 6.12/4.25 tff(1052,plain,
% 6.12/4.25 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89)) | (~((~v1(constB89)) | (~v102(constB89))))),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(1053,plain,
% 6.12/4.25 ((~(v101(constB89) <=> (~((~v1(constB89)) | (~v102(constB89)))))) | (~v101(constB89))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1052, 1051])).
% 6.12/4.25 tff(1054,plain,
% 6.12/4.25 (~v101(constB89)),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1053, 1046])).
% 6.12/4.25 tff(1055,plain,
% 6.12/4.25 (((~v101(constB89)) | (~v110(constB89))) | v101(constB89)),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(1056,plain,
% 6.12/4.25 ((~v101(constB89)) | (~v110(constB89))),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1055, 1054])).
% 6.12/4.25 tff(1057,plain,
% 6.12/4.25 ((~(v100(constB89) <=> (~((~v101(constB89)) | (~v110(constB89)))))) | (~v100(constB89)) | (~((~v101(constB89)) | (~v110(constB89))))),
% 6.12/4.25 inference(tautology,[status(thm)],[])).
% 6.12/4.25 tff(1058,plain,
% 6.12/4.25 (~v100(constB89)),
% 6.12/4.25 inference(unit_resolution,[status(thm)],[1057, 1056, 1039])).
% 6.12/4.25 tff(1059,plain,
% 6.12/4.25 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.25 inference(rewrite,[status(thm)],[])).
% 6.12/4.25 tff(1060,plain,
% 6.12/4.25 ((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)))))),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1061,plain,
% 6.12/4.26 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.12/4.26 inference(monotonicity,[status(thm)],[1060])).
% 6.12/4.26 tff(1062,plain,
% 6.12/4.26 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.26 inference(transitivity,[status(thm)],[1061, 1059])).
% 6.12/4.26 tff(1063,plain,
% 6.12/4.26 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1064,plain,
% 6.12/4.26 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.12/4.26 inference(modus_ponens,[status(thm)],[1063, 1062])).
% 6.12/4.26 tff(1065,plain,
% 6.12/4.26 (v100(constB89) | (~(((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1064, 1035, 482])).
% 6.12/4.26 tff(1066,plain,
% 6.12/4.26 (~(((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1065, 1058])).
% 6.12/4.26 tff(1067,plain,
% 6.12/4.26 ((((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))) | (~((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)))),
% 6.12/4.26 inference(tautology,[status(thm)],[])).
% 6.12/4.26 tff(1068,plain,
% 6.12/4.26 (~((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1067, 1066])).
% 6.12/4.26 tff(1069,plain,
% 6.12/4.26 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1070,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_87')).
% 6.12/4.26 tff(1071,plain,
% 6.12/4.26 (nextState(constB87, constB88)),
% 6.12/4.26 inference(modus_ponens,[status(thm)],[1070, 1069])).
% 6.12/4.26 tff(1072,plain,
% 6.12/4.26 (((~![VarNext: $i, 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)))))),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1073,plain,
% 6.12/4.26 ((~![VarNext: $i, 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)))))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1074,plain,
% 6.12/4.26 ((~![VarNext: $i, 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))))),
% 6.12/4.26 inference(modus_ponens,[status(thm)],[1073, 1072])).
% 6.12/4.26 tff(1075,plain,
% 6.12/4.26 (~(((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0)))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1074, 1071, 505])).
% 6.12/4.26 tff(1076,plain,
% 6.12/4.26 ((((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0))) | (~((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)))),
% 6.12/4.26 inference(tautology,[status(thm)],[])).
% 6.12/4.26 tff(1077,plain,
% 6.12/4.26 (~((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1076, 1075])).
% 6.12/4.26 tff(1078,plain,
% 6.12/4.26 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB87) <=> v26(constB87))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1079,plain,
% 6.12/4.26 (v111(constB87) <=> v26(constB87)),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1078, 524])).
% 6.12/4.26 tff(1080,plain,
% 6.12/4.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1081,plain,
% 6.12/4.26 (~v26(constB87)),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1080, 536])).
% 6.12/4.26 tff(1082,plain,
% 6.12/4.26 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87)) | v26(constB87)),
% 6.12/4.26 inference(tautology,[status(thm)],[])).
% 6.12/4.26 tff(1083,plain,
% 6.12/4.26 ((~(v111(constB87) <=> v26(constB87))) | (~v111(constB87))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1082, 1081])).
% 6.12/4.26 tff(1084,plain,
% 6.12/4.26 (~v111(constB87)),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1083, 1079])).
% 6.12/4.26 tff(1085,plain,
% 6.12/4.26 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB87) | (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB87) | (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)))))),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1086,plain,
% 6.12/4.26 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB87) | (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)))))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1087,plain,
% 6.12/4.26 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB87) | (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1))))),
% 6.12/4.26 inference(modus_ponens,[status(thm)],[1086, 1085])).
% 6.12/4.26 tff(1088,plain,
% 6.12/4.26 (v111(constB87) | (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1))))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1087, 554])).
% 6.12/4.26 tff(1089,plain,
% 6.12/4.26 (~(((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1088, 1084])).
% 6.12/4.26 tff(1090,plain,
% 6.12/4.26 ((((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1))) | (~((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)))),
% 6.12/4.26 inference(tautology,[status(thm)],[])).
% 6.12/4.26 tff(1091,plain,
% 6.12/4.26 (~((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1090, 1089])).
% 6.12/4.26 tff(1092,plain,
% 6.12/4.26 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1093,plain,
% 6.12/4.26 (v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0))))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1092, 653])).
% 6.12/4.26 tff(1094,plain,
% 6.12/4.26 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1095,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_86')).
% 6.12/4.26 tff(1096,plain,
% 6.12/4.26 (nextState(constB86, constB87)),
% 6.12/4.26 inference(modus_ponens,[status(thm)],[1095, 1094])).
% 6.12/4.26 tff(1097,plain,
% 6.12/4.26 (((~![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))))))),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1098,plain,
% 6.12/4.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1099,plain,
% 6.12/4.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB86, constB87)) | (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))),
% 6.12/4.26 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 6.12/4.26 tff(1100,plain,
% 6.12/4.26 (v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87))))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1099, 1096, 433])).
% 6.12/4.26 tff(1101,plain,
% 6.12/4.26 (((~![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))))))),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1102,plain,
% 6.12/4.26 (((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87)))))) <=> ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))))),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1103,plain,
% 6.12/4.26 (((~![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)))))))),
% 6.12/4.26 inference(monotonicity,[status(thm)],[1102])).
% 6.12/4.26 tff(1104,plain,
% 6.12/4.26 (((~![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))))))),
% 6.12/4.26 inference(transitivity,[status(thm)],[1103, 1101])).
% 6.12/4.26 tff(1105,plain,
% 6.12/4.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v102(constB87)) | (~v1(constB87))))))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1106,plain,
% 6.12/4.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))),
% 6.12/4.26 inference(modus_ponens,[status(thm)],[1105, 1104])).
% 6.12/4.26 tff(1107,plain,
% 6.12/4.26 (v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87))))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1106, 1096, 453])).
% 6.12/4.26 tff(1108,plain,
% 6.12/4.26 ((~v1(constB87)) <=> (~v1(constB87))),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1109,axiom,(~v1(constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_87')).
% 6.12/4.26 tff(1110,plain,
% 6.12/4.26 (~v1(constB87)),
% 6.12/4.26 inference(modus_ponens,[status(thm)],[1109, 1108])).
% 6.12/4.26 tff(1111,plain,
% 6.12/4.26 (((~v1(constB87)) | (~v102(constB87))) | v1(constB87)),
% 6.12/4.26 inference(tautology,[status(thm)],[])).
% 6.12/4.26 tff(1112,plain,
% 6.12/4.26 ((~v1(constB87)) | (~v102(constB87))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1111, 1110])).
% 6.12/4.26 tff(1113,plain,
% 6.12/4.26 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87)) | (~((~v1(constB87)) | (~v102(constB87))))),
% 6.12/4.26 inference(tautology,[status(thm)],[])).
% 6.12/4.26 tff(1114,plain,
% 6.12/4.26 ((~(v101(constB87) <=> (~((~v1(constB87)) | (~v102(constB87)))))) | (~v101(constB87))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1113, 1112])).
% 6.12/4.26 tff(1115,plain,
% 6.12/4.26 (~v101(constB87)),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1114, 1107])).
% 6.12/4.26 tff(1116,plain,
% 6.12/4.26 (((~v101(constB87)) | (~v110(constB87))) | v101(constB87)),
% 6.12/4.26 inference(tautology,[status(thm)],[])).
% 6.12/4.26 tff(1117,plain,
% 6.12/4.26 ((~v101(constB87)) | (~v110(constB87))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1116, 1115])).
% 6.12/4.26 tff(1118,plain,
% 6.12/4.26 ((~(v100(constB87) <=> (~((~v101(constB87)) | (~v110(constB87)))))) | (~v100(constB87)) | (~((~v101(constB87)) | (~v110(constB87))))),
% 6.12/4.26 inference(tautology,[status(thm)],[])).
% 6.12/4.26 tff(1119,plain,
% 6.12/4.26 (~v100(constB87)),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1118, 1117, 1100])).
% 6.12/4.26 tff(1120,plain,
% 6.12/4.26 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1121,plain,
% 6.12/4.26 ((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)))))),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1122,plain,
% 6.12/4.26 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.12/4.26 inference(monotonicity,[status(thm)],[1121])).
% 6.12/4.26 tff(1123,plain,
% 6.12/4.26 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.26 inference(transitivity,[status(thm)],[1122, 1120])).
% 6.12/4.26 tff(1124,plain,
% 6.12/4.26 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1125,plain,
% 6.12/4.26 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.12/4.26 inference(modus_ponens,[status(thm)],[1124, 1123])).
% 6.12/4.26 tff(1126,plain,
% 6.12/4.26 (v100(constB87) | (~(((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1125, 1096, 482])).
% 6.12/4.26 tff(1127,plain,
% 6.12/4.26 (~(((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1126, 1119])).
% 6.12/4.26 tff(1128,plain,
% 6.12/4.26 ((((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))) | (~((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)))),
% 6.12/4.26 inference(tautology,[status(thm)],[])).
% 6.12/4.26 tff(1129,plain,
% 6.12/4.26 (~((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1128, 1127])).
% 6.12/4.26 tff(1130,plain,
% 6.12/4.26 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1131,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_85')).
% 6.12/4.26 tff(1132,plain,
% 6.12/4.26 (nextState(constB85, constB86)),
% 6.12/4.26 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 6.12/4.26 tff(1133,plain,
% 6.12/4.26 (((~![VarNext: $i, 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)))))),
% 6.12/4.26 inference(rewrite,[status(thm)],[])).
% 6.12/4.26 tff(1134,plain,
% 6.12/4.26 ((~![VarNext: $i, 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)))))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1135,plain,
% 6.12/4.26 ((~![VarNext: $i, 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))))),
% 6.12/4.26 inference(modus_ponens,[status(thm)],[1134, 1133])).
% 6.12/4.26 tff(1136,plain,
% 6.12/4.26 (~(((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0)))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1135, 1132, 505])).
% 6.12/4.26 tff(1137,plain,
% 6.12/4.26 ((((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0))) | (~((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)))),
% 6.12/4.26 inference(tautology,[status(thm)],[])).
% 6.12/4.26 tff(1138,plain,
% 6.12/4.26 (~((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1137, 1136])).
% 6.12/4.26 tff(1139,plain,
% 6.12/4.26 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB85) <=> v26(constB85))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1140,plain,
% 6.12/4.26 (v111(constB85) <=> v26(constB85)),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1139, 524])).
% 6.12/4.26 tff(1141,plain,
% 6.12/4.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 6.12/4.26 inference(quant_inst,[status(thm)],[])).
% 6.12/4.26 tff(1142,plain,
% 6.12/4.26 (~v26(constB85)),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1141, 536])).
% 6.12/4.26 tff(1143,plain,
% 6.12/4.26 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85)) | v26(constB85)),
% 6.12/4.26 inference(tautology,[status(thm)],[])).
% 6.12/4.26 tff(1144,plain,
% 6.12/4.26 ((~(v111(constB85) <=> v26(constB85))) | (~v111(constB85))),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1143, 1142])).
% 6.12/4.26 tff(1145,plain,
% 6.12/4.26 (~v111(constB85)),
% 6.12/4.26 inference(unit_resolution,[status(thm)],[1144, 1140])).
% 6.12/4.26 tff(1146,plain,
% 6.12/4.26 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB85) | (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB85) | (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1147,plain,
% 6.12/4.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB85) | (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)))))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1148,plain,
% 6.12/4.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB85) | (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1))))),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1147, 1146])).
% 6.12/4.27 tff(1149,plain,
% 6.12/4.27 (v111(constB85) | (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1))))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1148, 554])).
% 6.12/4.27 tff(1150,plain,
% 6.12/4.27 (~(((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1149, 1145])).
% 6.12/4.27 tff(1151,plain,
% 6.12/4.27 ((((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1))) | (~((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)))),
% 6.12/4.27 inference(tautology,[status(thm)],[])).
% 6.12/4.27 tff(1152,plain,
% 6.12/4.27 (~((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1151, 1150])).
% 6.12/4.27 tff(1153,plain,
% 6.12/4.27 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1154,plain,
% 6.12/4.27 (v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1153, 727])).
% 6.12/4.27 tff(1155,plain,
% 6.12/4.27 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1156,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_84')).
% 6.12/4.27 tff(1157,plain,
% 6.12/4.27 (nextState(constB84, constB85)),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 6.12/4.27 tff(1158,plain,
% 6.12/4.27 (((~![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))))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1159,plain,
% 6.12/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1160,plain,
% 6.12/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB84, constB85)) | (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1159, 1158])).
% 6.12/4.27 tff(1161,plain,
% 6.12/4.27 (v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85))))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1160, 1157, 433])).
% 6.12/4.27 tff(1162,plain,
% 6.12/4.27 (((~![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))))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1163,plain,
% 6.12/4.27 (((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85)))))) <=> ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1164,plain,
% 6.12/4.27 (((~![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)))))))),
% 6.12/4.27 inference(monotonicity,[status(thm)],[1163])).
% 6.12/4.27 tff(1165,plain,
% 6.12/4.27 (((~![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))))))),
% 6.12/4.27 inference(transitivity,[status(thm)],[1164, 1162])).
% 6.12/4.27 tff(1166,plain,
% 6.12/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v102(constB85)) | (~v1(constB85))))))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1167,plain,
% 6.12/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 6.12/4.27 tff(1168,plain,
% 6.12/4.27 (v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85))))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1167, 1157, 453])).
% 6.12/4.27 tff(1169,plain,
% 6.12/4.27 ((~v1(constB85)) <=> (~v1(constB85))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1170,axiom,(~v1(constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_85')).
% 6.12/4.27 tff(1171,plain,
% 6.12/4.27 (~v1(constB85)),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 6.12/4.27 tff(1172,plain,
% 6.12/4.27 (((~v1(constB85)) | (~v102(constB85))) | v1(constB85)),
% 6.12/4.27 inference(tautology,[status(thm)],[])).
% 6.12/4.27 tff(1173,plain,
% 6.12/4.27 ((~v1(constB85)) | (~v102(constB85))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1172, 1171])).
% 6.12/4.27 tff(1174,plain,
% 6.12/4.27 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85)) | (~((~v1(constB85)) | (~v102(constB85))))),
% 6.12/4.27 inference(tautology,[status(thm)],[])).
% 6.12/4.27 tff(1175,plain,
% 6.12/4.27 ((~(v101(constB85) <=> (~((~v1(constB85)) | (~v102(constB85)))))) | (~v101(constB85))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1174, 1173])).
% 6.12/4.27 tff(1176,plain,
% 6.12/4.27 (~v101(constB85)),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1175, 1168])).
% 6.12/4.27 tff(1177,plain,
% 6.12/4.27 (((~v101(constB85)) | (~v110(constB85))) | v101(constB85)),
% 6.12/4.27 inference(tautology,[status(thm)],[])).
% 6.12/4.27 tff(1178,plain,
% 6.12/4.27 ((~v101(constB85)) | (~v110(constB85))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1177, 1176])).
% 6.12/4.27 tff(1179,plain,
% 6.12/4.27 ((~(v100(constB85) <=> (~((~v101(constB85)) | (~v110(constB85)))))) | (~v100(constB85)) | (~((~v101(constB85)) | (~v110(constB85))))),
% 6.12/4.27 inference(tautology,[status(thm)],[])).
% 6.12/4.27 tff(1180,plain,
% 6.12/4.27 (~v100(constB85)),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1179, 1178, 1161])).
% 6.12/4.27 tff(1181,plain,
% 6.12/4.27 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1182,plain,
% 6.12/4.27 ((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)))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1183,plain,
% 6.12/4.27 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.12/4.27 inference(monotonicity,[status(thm)],[1182])).
% 6.12/4.27 tff(1184,plain,
% 6.12/4.27 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.27 inference(transitivity,[status(thm)],[1183, 1181])).
% 6.12/4.27 tff(1185,plain,
% 6.12/4.27 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1186,plain,
% 6.12/4.27 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1185, 1184])).
% 6.12/4.27 tff(1187,plain,
% 6.12/4.27 (v100(constB85) | (~(((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1186, 1157, 482])).
% 6.12/4.27 tff(1188,plain,
% 6.12/4.27 (~(((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1187, 1180])).
% 6.12/4.27 tff(1189,plain,
% 6.12/4.27 ((((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))) | (~((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)))),
% 6.12/4.27 inference(tautology,[status(thm)],[])).
% 6.12/4.27 tff(1190,plain,
% 6.12/4.27 (~((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1189, 1188])).
% 6.12/4.27 tff(1191,plain,
% 6.12/4.27 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1192,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83')).
% 6.12/4.27 tff(1193,plain,
% 6.12/4.27 (nextState(constB83, constB84)),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1192, 1191])).
% 6.12/4.27 tff(1194,plain,
% 6.12/4.27 (((~![VarNext: $i, 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)))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1195,plain,
% 6.12/4.27 ((~![VarNext: $i, 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)))))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1196,plain,
% 6.12/4.27 ((~![VarNext: $i, 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))))),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1195, 1194])).
% 6.12/4.27 tff(1197,plain,
% 6.12/4.27 (~(((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0)))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1196, 1193, 505])).
% 6.12/4.27 tff(1198,plain,
% 6.12/4.27 ((((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0))) | (~((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)))),
% 6.12/4.27 inference(tautology,[status(thm)],[])).
% 6.12/4.27 tff(1199,plain,
% 6.12/4.27 (~((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1198, 1197])).
% 6.12/4.27 tff(1200,plain,
% 6.12/4.27 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB83) <=> v26(constB83))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1201,plain,
% 6.12/4.27 (v111(constB83) <=> v26(constB83)),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1200, 524])).
% 6.12/4.27 tff(1202,plain,
% 6.12/4.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1203,plain,
% 6.12/4.27 (~v26(constB83)),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1202, 536])).
% 6.12/4.27 tff(1204,plain,
% 6.12/4.27 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83)) | v26(constB83)),
% 6.12/4.27 inference(tautology,[status(thm)],[])).
% 6.12/4.27 tff(1205,plain,
% 6.12/4.27 ((~(v111(constB83) <=> v26(constB83))) | (~v111(constB83))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1204, 1203])).
% 6.12/4.27 tff(1206,plain,
% 6.12/4.27 (~v111(constB83)),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1205, 1201])).
% 6.12/4.27 tff(1207,plain,
% 6.12/4.27 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB83) | (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB83) | (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1208,plain,
% 6.12/4.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB83) | (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)))))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1209,plain,
% 6.12/4.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB83) | (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1))))),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1208, 1207])).
% 6.12/4.27 tff(1210,plain,
% 6.12/4.27 (v111(constB83) | (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1))))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1209, 554])).
% 6.12/4.27 tff(1211,plain,
% 6.12/4.27 (~(((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1210, 1206])).
% 6.12/4.27 tff(1212,plain,
% 6.12/4.27 ((((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1))) | (~((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)))),
% 6.12/4.27 inference(tautology,[status(thm)],[])).
% 6.12/4.27 tff(1213,plain,
% 6.12/4.27 (~((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1212, 1211])).
% 6.12/4.27 tff(1214,plain,
% 6.12/4.27 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0))))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1215,plain,
% 6.12/4.27 ((v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)) | (~v90(constB83, bitIndex2))))) <=> (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0)))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1216,plain,
% 6.12/4.27 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)) | (~v90(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0))))))),
% 6.12/4.27 inference(monotonicity,[status(thm)],[1215])).
% 6.12/4.27 tff(1217,plain,
% 6.12/4.27 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)) | (~v90(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0))))))),
% 6.12/4.27 inference(transitivity,[status(thm)],[1216, 1214])).
% 6.12/4.27 tff(1218,plain,
% 6.12/4.27 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex0)) | (~v90(constB83, bitIndex2)))))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1219,plain,
% 6.12/4.27 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0)))))),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1218, 1217])).
% 6.12/4.27 tff(1220,plain,
% 6.12/4.27 (v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0))))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1219, 801])).
% 6.12/4.27 tff(1221,plain,
% 6.12/4.27 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1222,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82')).
% 6.12/4.27 tff(1223,plain,
% 6.12/4.27 (nextState(constB82, constB83)),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1222, 1221])).
% 6.12/4.27 tff(1224,plain,
% 6.12/4.27 (((~![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))))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1225,plain,
% 6.12/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1226,plain,
% 6.12/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB82, constB83)) | (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))),
% 6.12/4.27 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 6.12/4.27 tff(1227,plain,
% 6.12/4.27 (v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83))))),
% 6.12/4.27 inference(unit_resolution,[status(thm)],[1226, 1223, 433])).
% 6.12/4.27 tff(1228,plain,
% 6.12/4.27 (((~![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))))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1229,plain,
% 6.12/4.27 (((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83)))))) <=> ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))))),
% 6.12/4.27 inference(rewrite,[status(thm)],[])).
% 6.12/4.27 tff(1230,plain,
% 6.12/4.27 (((~![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)))))))),
% 6.12/4.27 inference(monotonicity,[status(thm)],[1229])).
% 6.12/4.27 tff(1231,plain,
% 6.12/4.27 (((~![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))))))),
% 6.12/4.27 inference(transitivity,[status(thm)],[1230, 1228])).
% 6.12/4.27 tff(1232,plain,
% 6.12/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v102(constB83)) | (~v1(constB83))))))),
% 6.12/4.27 inference(quant_inst,[status(thm)],[])).
% 6.12/4.27 tff(1233,plain,
% 6.12/4.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1232, 1231])).
% 6.12/4.28 tff(1234,plain,
% 6.12/4.28 (v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83))))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1233, 1223, 453])).
% 6.12/4.28 tff(1235,plain,
% 6.12/4.28 ((~v1(constB83)) <=> (~v1(constB83))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1236,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83')).
% 6.12/4.28 tff(1237,plain,
% 6.12/4.28 (~v1(constB83)),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 6.12/4.28 tff(1238,plain,
% 6.12/4.28 (((~v1(constB83)) | (~v102(constB83))) | v1(constB83)),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1239,plain,
% 6.12/4.28 ((~v1(constB83)) | (~v102(constB83))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1238, 1237])).
% 6.12/4.28 tff(1240,plain,
% 6.12/4.28 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83)) | (~((~v1(constB83)) | (~v102(constB83))))),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1241,plain,
% 6.12/4.28 ((~(v101(constB83) <=> (~((~v1(constB83)) | (~v102(constB83)))))) | (~v101(constB83))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1240, 1239])).
% 6.12/4.28 tff(1242,plain,
% 6.12/4.28 (~v101(constB83)),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1241, 1234])).
% 6.12/4.28 tff(1243,plain,
% 6.12/4.28 (((~v101(constB83)) | (~v110(constB83))) | v101(constB83)),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1244,plain,
% 6.12/4.28 ((~v101(constB83)) | (~v110(constB83))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1243, 1242])).
% 6.12/4.28 tff(1245,plain,
% 6.12/4.28 ((~(v100(constB83) <=> (~((~v101(constB83)) | (~v110(constB83)))))) | (~v100(constB83)) | (~((~v101(constB83)) | (~v110(constB83))))),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1246,plain,
% 6.12/4.28 (~v100(constB83)),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1245, 1244, 1227])).
% 6.12/4.28 tff(1247,plain,
% 6.12/4.28 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1248,plain,
% 6.12/4.28 ((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)))))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1249,plain,
% 6.12/4.28 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.12/4.28 inference(monotonicity,[status(thm)],[1248])).
% 6.12/4.28 tff(1250,plain,
% 6.12/4.28 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.28 inference(transitivity,[status(thm)],[1249, 1247])).
% 6.12/4.28 tff(1251,plain,
% 6.12/4.28 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.28 inference(quant_inst,[status(thm)],[])).
% 6.12/4.28 tff(1252,plain,
% 6.12/4.28 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1251, 1250])).
% 6.12/4.28 tff(1253,plain,
% 6.12/4.28 (v100(constB83) | (~(((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1252, 1223, 482])).
% 6.12/4.28 tff(1254,plain,
% 6.12/4.28 (~(((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1253, 1246])).
% 6.12/4.28 tff(1255,plain,
% 6.12/4.28 ((((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))) | (~((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)))),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1256,plain,
% 6.12/4.28 (~((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1255, 1254])).
% 6.12/4.28 tff(1257,plain,
% 6.12/4.28 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1258,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81')).
% 6.12/4.28 tff(1259,plain,
% 6.12/4.28 (nextState(constB81, constB82)),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 6.12/4.28 tff(1260,plain,
% 6.12/4.28 (((~![VarNext: $i, 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)))))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1261,plain,
% 6.12/4.28 ((~![VarNext: $i, 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)))))),
% 6.12/4.28 inference(quant_inst,[status(thm)],[])).
% 6.12/4.28 tff(1262,plain,
% 6.12/4.28 ((~![VarNext: $i, 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))))),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1261, 1260])).
% 6.12/4.28 tff(1263,plain,
% 6.12/4.28 (~(((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0)))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1262, 1259, 505])).
% 6.12/4.28 tff(1264,plain,
% 6.12/4.28 ((((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0))) | (~((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)))),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1265,plain,
% 6.12/4.28 (~((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1264, 1263])).
% 6.12/4.28 tff(1266,plain,
% 6.12/4.28 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB81) <=> v26(constB81))),
% 6.12/4.28 inference(quant_inst,[status(thm)],[])).
% 6.12/4.28 tff(1267,plain,
% 6.12/4.28 (v111(constB81) <=> v26(constB81)),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1266, 524])).
% 6.12/4.28 tff(1268,plain,
% 6.12/4.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 6.12/4.28 inference(quant_inst,[status(thm)],[])).
% 6.12/4.28 tff(1269,plain,
% 6.12/4.28 (~v26(constB81)),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1268, 536])).
% 6.12/4.28 tff(1270,plain,
% 6.12/4.28 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81)) | v26(constB81)),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1271,plain,
% 6.12/4.28 ((~(v111(constB81) <=> v26(constB81))) | (~v111(constB81))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1270, 1269])).
% 6.12/4.28 tff(1272,plain,
% 6.12/4.28 (~v111(constB81)),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1271, 1267])).
% 6.12/4.28 tff(1273,plain,
% 6.12/4.28 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB81) | (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB81) | (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)))))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1274,plain,
% 6.12/4.28 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB81) | (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)))))),
% 6.12/4.28 inference(quant_inst,[status(thm)],[])).
% 6.12/4.28 tff(1275,plain,
% 6.12/4.28 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB81) | (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1))))),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1274, 1273])).
% 6.12/4.28 tff(1276,plain,
% 6.12/4.28 (v111(constB81) | (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1))))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1275, 554])).
% 6.12/4.28 tff(1277,plain,
% 6.12/4.28 (~(((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1276, 1272])).
% 6.12/4.28 tff(1278,plain,
% 6.12/4.28 ((((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1))) | (~((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)))),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1279,plain,
% 6.12/4.28 (~((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1278, 1277])).
% 6.12/4.28 tff(1280,plain,
% 6.12/4.28 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2))))))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1281,plain,
% 6.12/4.28 ((v123(constB81) <=> (~(v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2))))) <=> (v123(constB81) <=> (~(v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2)))))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1282,plain,
% 6.12/4.28 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2))))))),
% 6.12/4.28 inference(monotonicity,[status(thm)],[1281])).
% 6.12/4.28 tff(1283,plain,
% 6.12/4.28 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2))))))),
% 6.12/4.28 inference(transitivity,[status(thm)],[1282, 1280])).
% 6.12/4.28 tff(1284,plain,
% 6.12/4.28 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex0) | v90(constB81, bitIndex1) | (~v90(constB81, bitIndex2)))))),
% 6.12/4.28 inference(quant_inst,[status(thm)],[])).
% 6.12/4.28 tff(1285,plain,
% 6.12/4.28 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB81) <=> (~(v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2)))))),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 6.12/4.28 tff(1286,plain,
% 6.12/4.28 (v123(constB81) <=> (~(v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2))))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1285, 880])).
% 6.12/4.28 tff(1287,plain,
% 6.12/4.28 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1288,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80')).
% 6.12/4.28 tff(1289,plain,
% 6.12/4.28 (nextState(constB80, constB81)),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 6.12/4.28 tff(1290,plain,
% 6.12/4.28 (((~![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))))))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1291,plain,
% 6.12/4.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))))),
% 6.12/4.28 inference(quant_inst,[status(thm)],[])).
% 6.12/4.28 tff(1292,plain,
% 6.12/4.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB80, constB81)) | (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1291, 1290])).
% 6.12/4.28 tff(1293,plain,
% 6.12/4.28 (v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81))))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1292, 1289, 433])).
% 6.12/4.28 tff(1294,plain,
% 6.12/4.28 (((~![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))))))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1295,plain,
% 6.12/4.28 (((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81)))))) <=> ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1296,plain,
% 6.12/4.28 (((~![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)))))))),
% 6.12/4.28 inference(monotonicity,[status(thm)],[1295])).
% 6.12/4.28 tff(1297,plain,
% 6.12/4.28 (((~![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))))))),
% 6.12/4.28 inference(transitivity,[status(thm)],[1296, 1294])).
% 6.12/4.28 tff(1298,plain,
% 6.12/4.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v102(constB81)) | (~v1(constB81))))))),
% 6.12/4.28 inference(quant_inst,[status(thm)],[])).
% 6.12/4.28 tff(1299,plain,
% 6.12/4.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1298, 1297])).
% 6.12/4.28 tff(1300,plain,
% 6.12/4.28 (v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81))))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1299, 1289, 453])).
% 6.12/4.28 tff(1301,plain,
% 6.12/4.28 ((~v1(constB81)) <=> (~v1(constB81))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1302,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81')).
% 6.12/4.28 tff(1303,plain,
% 6.12/4.28 (~v1(constB81)),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1302, 1301])).
% 6.12/4.28 tff(1304,plain,
% 6.12/4.28 (((~v1(constB81)) | (~v102(constB81))) | v1(constB81)),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1305,plain,
% 6.12/4.28 ((~v1(constB81)) | (~v102(constB81))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1304, 1303])).
% 6.12/4.28 tff(1306,plain,
% 6.12/4.28 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81)) | (~((~v1(constB81)) | (~v102(constB81))))),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1307,plain,
% 6.12/4.28 ((~(v101(constB81) <=> (~((~v1(constB81)) | (~v102(constB81)))))) | (~v101(constB81))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1306, 1305])).
% 6.12/4.28 tff(1308,plain,
% 6.12/4.28 (~v101(constB81)),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1307, 1300])).
% 6.12/4.28 tff(1309,plain,
% 6.12/4.28 (((~v101(constB81)) | (~v110(constB81))) | v101(constB81)),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1310,plain,
% 6.12/4.28 ((~v101(constB81)) | (~v110(constB81))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1309, 1308])).
% 6.12/4.28 tff(1311,plain,
% 6.12/4.28 ((~(v100(constB81) <=> (~((~v101(constB81)) | (~v110(constB81)))))) | (~v100(constB81)) | (~((~v101(constB81)) | (~v110(constB81))))),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1312,plain,
% 6.12/4.28 (~v100(constB81)),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1311, 1310, 1293])).
% 6.12/4.28 tff(1313,plain,
% 6.12/4.28 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1314,plain,
% 6.12/4.28 ((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)))))),
% 6.12/4.28 inference(rewrite,[status(thm)],[])).
% 6.12/4.28 tff(1315,plain,
% 6.12/4.28 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.12/4.28 inference(monotonicity,[status(thm)],[1314])).
% 6.12/4.28 tff(1316,plain,
% 6.12/4.28 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.28 inference(transitivity,[status(thm)],[1315, 1313])).
% 6.12/4.28 tff(1317,plain,
% 6.12/4.28 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.28 inference(quant_inst,[status(thm)],[])).
% 6.12/4.28 tff(1318,plain,
% 6.12/4.28 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.12/4.28 inference(modus_ponens,[status(thm)],[1317, 1316])).
% 6.12/4.28 tff(1319,plain,
% 6.12/4.28 (v100(constB81) | (~(((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1318, 1289, 482])).
% 6.12/4.28 tff(1320,plain,
% 6.12/4.28 (~(((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1319, 1312])).
% 6.12/4.28 tff(1321,plain,
% 6.12/4.28 ((((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))) | (~((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)))),
% 6.12/4.28 inference(tautology,[status(thm)],[])).
% 6.12/4.28 tff(1322,plain,
% 6.12/4.28 (~((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2))),
% 6.12/4.28 inference(unit_resolution,[status(thm)],[1321, 1320])).
% 6.12/4.29 tff(1323,plain,
% 6.12/4.29 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1324,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79')).
% 6.12/4.29 tff(1325,plain,
% 6.12/4.29 (nextState(constB79, constB80)),
% 6.12/4.29 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 6.12/4.29 tff(1326,plain,
% 6.12/4.29 (((~![VarNext: $i, 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)))))),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1327,plain,
% 6.12/4.29 ((~![VarNext: $i, 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)))))),
% 6.12/4.29 inference(quant_inst,[status(thm)],[])).
% 6.12/4.29 tff(1328,plain,
% 6.12/4.29 ((~![VarNext: $i, 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))))),
% 6.12/4.29 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 6.12/4.29 tff(1329,plain,
% 6.12/4.29 (~(((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0)))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1328, 1325, 505])).
% 6.12/4.29 tff(1330,plain,
% 6.12/4.29 ((((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0))) | (~((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)))),
% 6.12/4.29 inference(tautology,[status(thm)],[])).
% 6.12/4.29 tff(1331,plain,
% 6.12/4.29 (~((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1330, 1329])).
% 6.12/4.29 tff(1332,plain,
% 6.12/4.29 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB79) <=> v26(constB79))),
% 6.12/4.29 inference(quant_inst,[status(thm)],[])).
% 6.12/4.29 tff(1333,plain,
% 6.12/4.29 (v111(constB79) <=> v26(constB79)),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1332, 524])).
% 6.12/4.29 tff(1334,plain,
% 6.12/4.29 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 6.12/4.29 inference(quant_inst,[status(thm)],[])).
% 6.12/4.29 tff(1335,plain,
% 6.12/4.29 (~v26(constB79)),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1334, 536])).
% 6.12/4.29 tff(1336,plain,
% 6.12/4.29 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79)) | v26(constB79)),
% 6.12/4.29 inference(tautology,[status(thm)],[])).
% 6.12/4.29 tff(1337,plain,
% 6.12/4.29 ((~(v111(constB79) <=> v26(constB79))) | (~v111(constB79))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1336, 1335])).
% 6.12/4.29 tff(1338,plain,
% 6.12/4.29 (~v111(constB79)),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1337, 1333])).
% 6.12/4.29 tff(1339,plain,
% 6.12/4.29 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB79) | (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB79) | (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)))))),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1340,plain,
% 6.12/4.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB79) | (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)))))),
% 6.12/4.29 inference(quant_inst,[status(thm)],[])).
% 6.12/4.29 tff(1341,plain,
% 6.12/4.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB79) | (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1))))),
% 6.12/4.29 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 6.12/4.29 tff(1342,plain,
% 6.12/4.29 (v111(constB79) | (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1))))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1341, 554])).
% 6.12/4.29 tff(1343,plain,
% 6.12/4.29 (~(((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1342, 1338])).
% 6.12/4.29 tff(1344,plain,
% 6.12/4.29 ((((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1))) | (~((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)))),
% 6.12/4.29 inference(tautology,[status(thm)],[])).
% 6.12/4.29 tff(1345,plain,
% 6.12/4.29 (~((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1344, 1343])).
% 6.12/4.29 tff(1346,plain,
% 6.12/4.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))))))),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1347,plain,
% 6.12/4.29 ((v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1))))) <=> (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))))),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1348,plain,
% 6.12/4.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))))))),
% 6.12/4.29 inference(monotonicity,[status(thm)],[1347])).
% 6.12/4.29 tff(1349,plain,
% 6.12/4.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))))))),
% 6.12/4.29 inference(transitivity,[status(thm)],[1348, 1346])).
% 6.12/4.29 tff(1350,plain,
% 6.12/4.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex0)) | (~v90(constB79, bitIndex1)))))),
% 6.12/4.29 inference(quant_inst,[status(thm)],[])).
% 6.12/4.29 tff(1351,plain,
% 6.12/4.29 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))))),
% 6.12/4.29 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 6.12/4.29 tff(1352,plain,
% 6.12/4.29 (v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1351, 959])).
% 6.12/4.29 tff(1353,plain,
% 6.12/4.29 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1354,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78')).
% 6.12/4.29 tff(1355,plain,
% 6.12/4.29 (nextState(constB78, constB79)),
% 6.12/4.29 inference(modus_ponens,[status(thm)],[1354, 1353])).
% 6.12/4.29 tff(1356,plain,
% 6.12/4.29 (((~![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))))))),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1357,plain,
% 6.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))))),
% 6.12/4.29 inference(quant_inst,[status(thm)],[])).
% 6.12/4.29 tff(1358,plain,
% 6.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB78, constB79)) | (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))),
% 6.12/4.29 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 6.12/4.29 tff(1359,plain,
% 6.12/4.29 (v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79))))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1358, 1355, 433])).
% 6.12/4.29 tff(1360,plain,
% 6.12/4.29 (((~![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))))))),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1361,plain,
% 6.12/4.29 (((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79)))))) <=> ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))))),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1362,plain,
% 6.12/4.29 (((~![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)))))))),
% 6.12/4.29 inference(monotonicity,[status(thm)],[1361])).
% 6.12/4.29 tff(1363,plain,
% 6.12/4.29 (((~![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))))))),
% 6.12/4.29 inference(transitivity,[status(thm)],[1362, 1360])).
% 6.12/4.29 tff(1364,plain,
% 6.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v102(constB79)) | (~v1(constB79))))))),
% 6.12/4.29 inference(quant_inst,[status(thm)],[])).
% 6.12/4.29 tff(1365,plain,
% 6.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))),
% 6.12/4.29 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 6.12/4.29 tff(1366,plain,
% 6.12/4.29 (v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79))))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1365, 1355, 453])).
% 6.12/4.29 tff(1367,plain,
% 6.12/4.29 ((~v1(constB79)) <=> (~v1(constB79))),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1368,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79')).
% 6.12/4.29 tff(1369,plain,
% 6.12/4.29 (~v1(constB79)),
% 6.12/4.29 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 6.12/4.29 tff(1370,plain,
% 6.12/4.29 (((~v1(constB79)) | (~v102(constB79))) | v1(constB79)),
% 6.12/4.29 inference(tautology,[status(thm)],[])).
% 6.12/4.29 tff(1371,plain,
% 6.12/4.29 ((~v1(constB79)) | (~v102(constB79))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1370, 1369])).
% 6.12/4.29 tff(1372,plain,
% 6.12/4.29 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79)) | (~((~v1(constB79)) | (~v102(constB79))))),
% 6.12/4.29 inference(tautology,[status(thm)],[])).
% 6.12/4.29 tff(1373,plain,
% 6.12/4.29 ((~(v101(constB79) <=> (~((~v1(constB79)) | (~v102(constB79)))))) | (~v101(constB79))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1372, 1371])).
% 6.12/4.29 tff(1374,plain,
% 6.12/4.29 (~v101(constB79)),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1373, 1366])).
% 6.12/4.29 tff(1375,plain,
% 6.12/4.29 (((~v101(constB79)) | (~v110(constB79))) | v101(constB79)),
% 6.12/4.29 inference(tautology,[status(thm)],[])).
% 6.12/4.29 tff(1376,plain,
% 6.12/4.29 ((~v101(constB79)) | (~v110(constB79))),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1375, 1374])).
% 6.12/4.29 tff(1377,plain,
% 6.12/4.29 ((~(v100(constB79) <=> (~((~v101(constB79)) | (~v110(constB79)))))) | (~v100(constB79)) | (~((~v101(constB79)) | (~v110(constB79))))),
% 6.12/4.29 inference(tautology,[status(thm)],[])).
% 6.12/4.29 tff(1378,plain,
% 6.12/4.29 (~v100(constB79)),
% 6.12/4.29 inference(unit_resolution,[status(thm)],[1377, 1376, 1359])).
% 6.12/4.29 tff(1379,plain,
% 6.12/4.29 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1380,plain,
% 6.12/4.29 ((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)))))),
% 6.12/4.29 inference(rewrite,[status(thm)],[])).
% 6.12/4.29 tff(1381,plain,
% 6.12/4.29 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.12/4.29 inference(monotonicity,[status(thm)],[1380])).
% 6.12/4.29 tff(1382,plain,
% 6.12/4.29 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.29 inference(transitivity,[status(thm)],[1381, 1379])).
% 6.18/4.29 tff(1383,plain,
% 6.18/4.29 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.29 inference(quant_inst,[status(thm)],[])).
% 6.18/4.29 tff(1384,plain,
% 6.18/4.29 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.18/4.29 inference(modus_ponens,[status(thm)],[1383, 1382])).
% 6.18/4.29 tff(1385,plain,
% 6.18/4.29 (v100(constB79) | (~(((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))))),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1384, 1355, 482])).
% 6.18/4.29 tff(1386,plain,
% 6.18/4.29 (~(((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)))),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1385, 1378])).
% 6.18/4.29 tff(1387,plain,
% 6.18/4.29 ((((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))) | (~((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)))),
% 6.18/4.29 inference(tautology,[status(thm)],[])).
% 6.18/4.29 tff(1388,plain,
% 6.18/4.29 (~((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2))),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1387, 1386])).
% 6.18/4.29 tff(1389,plain,
% 6.18/4.29 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 6.18/4.29 inference(rewrite,[status(thm)],[])).
% 6.18/4.29 tff(1390,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77')).
% 6.18/4.29 tff(1391,plain,
% 6.18/4.29 (nextState(constB77, constB78)),
% 6.18/4.29 inference(modus_ponens,[status(thm)],[1390, 1389])).
% 6.18/4.29 tff(1392,plain,
% 6.18/4.29 (((~![VarNext: $i, 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)))))),
% 6.18/4.29 inference(rewrite,[status(thm)],[])).
% 6.18/4.29 tff(1393,plain,
% 6.18/4.29 ((~![VarNext: $i, 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)))))),
% 6.18/4.29 inference(quant_inst,[status(thm)],[])).
% 6.18/4.29 tff(1394,plain,
% 6.18/4.29 ((~![VarNext: $i, 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))))),
% 6.18/4.29 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 6.18/4.29 tff(1395,plain,
% 6.18/4.29 (~(((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0)))),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1394, 1391, 505])).
% 6.18/4.29 tff(1396,plain,
% 6.18/4.29 ((((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0))) | (~((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)))),
% 6.18/4.29 inference(tautology,[status(thm)],[])).
% 6.18/4.29 tff(1397,plain,
% 6.18/4.29 (~((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2))),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1396, 1395])).
% 6.18/4.29 tff(1398,plain,
% 6.18/4.29 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB77) <=> v26(constB77))),
% 6.18/4.29 inference(quant_inst,[status(thm)],[])).
% 6.18/4.29 tff(1399,plain,
% 6.18/4.29 (v111(constB77) <=> v26(constB77)),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1398, 524])).
% 6.18/4.29 tff(1400,plain,
% 6.18/4.29 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 6.18/4.29 inference(quant_inst,[status(thm)],[])).
% 6.18/4.29 tff(1401,plain,
% 6.18/4.29 (~v26(constB77)),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1400, 536])).
% 6.18/4.29 tff(1402,plain,
% 6.18/4.29 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77)) | v26(constB77)),
% 6.18/4.29 inference(tautology,[status(thm)],[])).
% 6.18/4.29 tff(1403,plain,
% 6.18/4.29 ((~(v111(constB77) <=> v26(constB77))) | (~v111(constB77))),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1402, 1401])).
% 6.18/4.29 tff(1404,plain,
% 6.18/4.29 (~v111(constB77)),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1403, 1399])).
% 6.18/4.29 tff(1405,plain,
% 6.18/4.29 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB77) | (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB77) | (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)))))),
% 6.18/4.29 inference(rewrite,[status(thm)],[])).
% 6.18/4.29 tff(1406,plain,
% 6.18/4.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB77) | (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)))))),
% 6.18/4.29 inference(quant_inst,[status(thm)],[])).
% 6.18/4.29 tff(1407,plain,
% 6.18/4.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB77) | (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1))))),
% 6.18/4.29 inference(modus_ponens,[status(thm)],[1406, 1405])).
% 6.18/4.29 tff(1408,plain,
% 6.18/4.29 (v111(constB77) | (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1))))),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1407, 554])).
% 6.18/4.29 tff(1409,plain,
% 6.18/4.29 (~(((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)))),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1408, 1404])).
% 6.18/4.29 tff(1410,plain,
% 6.18/4.29 ((((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1))) | (~((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)))),
% 6.18/4.29 inference(tautology,[status(thm)],[])).
% 6.18/4.29 tff(1411,plain,
% 6.18/4.29 (~((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2))),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1410, 1409])).
% 6.18/4.29 tff(1412,plain,
% 6.18/4.29 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1))))))),
% 6.18/4.29 inference(rewrite,[status(thm)],[])).
% 6.18/4.29 tff(1413,plain,
% 6.18/4.29 ((v121(constB77) <=> (~(v90(constB77, bitIndex0) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1))))) <=> (v121(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)))))),
% 6.18/4.29 inference(rewrite,[status(thm)],[])).
% 6.18/4.29 tff(1414,plain,
% 6.18/4.29 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex0) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1))))))),
% 6.18/4.29 inference(monotonicity,[status(thm)],[1413])).
% 6.18/4.29 tff(1415,plain,
% 6.18/4.29 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex0) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1))))))),
% 6.18/4.29 inference(transitivity,[status(thm)],[1414, 1412])).
% 6.18/4.29 tff(1416,plain,
% 6.18/4.29 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex0) | v90(constB77, bitIndex2) | (~v90(constB77, bitIndex1)))))),
% 6.18/4.29 inference(quant_inst,[status(thm)],[])).
% 6.18/4.29 tff(1417,plain,
% 6.18/4.29 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)))))),
% 6.18/4.29 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 6.18/4.29 tff(1418,plain,
% 6.18/4.29 (v121(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1))))),
% 6.18/4.29 inference(unit_resolution,[status(thm)],[1417, 574])).
% 6.18/4.29 tff(1419,plain,
% 6.18/4.29 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 6.18/4.29 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1420,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76')).
% 6.18/4.30 tff(1421,plain,
% 6.18/4.30 (nextState(constB76, constB77)),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 6.18/4.30 tff(1422,plain,
% 6.18/4.30 (((~![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))))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1423,plain,
% 6.18/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))))),
% 6.18/4.30 inference(quant_inst,[status(thm)],[])).
% 6.18/4.30 tff(1424,plain,
% 6.18/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB76, constB77)) | (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1423, 1422])).
% 6.18/4.30 tff(1425,plain,
% 6.18/4.30 (v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77))))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1424, 1421, 433])).
% 6.18/4.30 tff(1426,plain,
% 6.18/4.30 (((~![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))))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1427,plain,
% 6.18/4.30 (((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77)))))) <=> ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1428,plain,
% 6.18/4.30 (((~![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)))))))),
% 6.18/4.30 inference(monotonicity,[status(thm)],[1427])).
% 6.18/4.30 tff(1429,plain,
% 6.18/4.30 (((~![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))))))),
% 6.18/4.30 inference(transitivity,[status(thm)],[1428, 1426])).
% 6.18/4.30 tff(1430,plain,
% 6.18/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v102(constB77)) | (~v1(constB77))))))),
% 6.18/4.30 inference(quant_inst,[status(thm)],[])).
% 6.18/4.30 tff(1431,plain,
% 6.18/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1430, 1429])).
% 6.18/4.30 tff(1432,plain,
% 6.18/4.30 (v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77))))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1431, 1421, 453])).
% 6.18/4.30 tff(1433,plain,
% 6.18/4.30 ((~v1(constB77)) <=> (~v1(constB77))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1434,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77')).
% 6.18/4.30 tff(1435,plain,
% 6.18/4.30 (~v1(constB77)),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1434, 1433])).
% 6.18/4.30 tff(1436,plain,
% 6.18/4.30 (((~v1(constB77)) | (~v102(constB77))) | v1(constB77)),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1437,plain,
% 6.18/4.30 ((~v1(constB77)) | (~v102(constB77))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1436, 1435])).
% 6.18/4.30 tff(1438,plain,
% 6.18/4.30 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77)) | (~((~v1(constB77)) | (~v102(constB77))))),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1439,plain,
% 6.18/4.30 ((~(v101(constB77) <=> (~((~v1(constB77)) | (~v102(constB77)))))) | (~v101(constB77))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1438, 1437])).
% 6.18/4.30 tff(1440,plain,
% 6.18/4.30 (~v101(constB77)),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1439, 1432])).
% 6.18/4.30 tff(1441,plain,
% 6.18/4.30 (((~v101(constB77)) | (~v110(constB77))) | v101(constB77)),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1442,plain,
% 6.18/4.30 ((~v101(constB77)) | (~v110(constB77))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1441, 1440])).
% 6.18/4.30 tff(1443,plain,
% 6.18/4.30 ((~(v100(constB77) <=> (~((~v101(constB77)) | (~v110(constB77)))))) | (~v100(constB77)) | (~((~v101(constB77)) | (~v110(constB77))))),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1444,plain,
% 6.18/4.30 (~v100(constB77)),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1443, 1442, 1425])).
% 6.18/4.30 tff(1445,plain,
% 6.18/4.30 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1446,plain,
% 6.18/4.30 ((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)))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1447,plain,
% 6.18/4.30 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.18/4.30 inference(monotonicity,[status(thm)],[1446])).
% 6.18/4.30 tff(1448,plain,
% 6.18/4.30 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.30 inference(transitivity,[status(thm)],[1447, 1445])).
% 6.18/4.30 tff(1449,plain,
% 6.18/4.30 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.30 inference(quant_inst,[status(thm)],[])).
% 6.18/4.30 tff(1450,plain,
% 6.18/4.30 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1449, 1448])).
% 6.18/4.30 tff(1451,plain,
% 6.18/4.30 (v100(constB77) | (~(((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1450, 1421, 482])).
% 6.18/4.30 tff(1452,plain,
% 6.18/4.30 (~(((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1451, 1444])).
% 6.18/4.30 tff(1453,plain,
% 6.18/4.30 ((((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))) | (~((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)))),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1454,plain,
% 6.18/4.30 (~((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1453, 1452])).
% 6.18/4.30 tff(1455,plain,
% 6.18/4.30 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1456,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75')).
% 6.18/4.30 tff(1457,plain,
% 6.18/4.30 (nextState(constB75, constB76)),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 6.18/4.30 tff(1458,plain,
% 6.18/4.30 (((~![VarNext: $i, 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)))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1459,plain,
% 6.18/4.30 ((~![VarNext: $i, 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)))))),
% 6.18/4.30 inference(quant_inst,[status(thm)],[])).
% 6.18/4.30 tff(1460,plain,
% 6.18/4.30 ((~![VarNext: $i, 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))))),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 6.18/4.30 tff(1461,plain,
% 6.18/4.30 (~(((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0)))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1460, 1457, 505])).
% 6.18/4.30 tff(1462,plain,
% 6.18/4.30 ((((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0))) | (~((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)))),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1463,plain,
% 6.18/4.30 (~((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1462, 1461])).
% 6.18/4.30 tff(1464,plain,
% 6.18/4.30 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB75) <=> v26(constB75))),
% 6.18/4.30 inference(quant_inst,[status(thm)],[])).
% 6.18/4.30 tff(1465,plain,
% 6.18/4.30 (v111(constB75) <=> v26(constB75)),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1464, 524])).
% 6.18/4.30 tff(1466,plain,
% 6.18/4.30 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 6.18/4.30 inference(quant_inst,[status(thm)],[])).
% 6.18/4.30 tff(1467,plain,
% 6.18/4.30 (~v26(constB75)),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1466, 536])).
% 6.18/4.30 tff(1468,plain,
% 6.18/4.30 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75)) | v26(constB75)),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1469,plain,
% 6.18/4.30 ((~(v111(constB75) <=> v26(constB75))) | (~v111(constB75))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1468, 1467])).
% 6.18/4.30 tff(1470,plain,
% 6.18/4.30 (~v111(constB75)),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1469, 1465])).
% 6.18/4.30 tff(1471,plain,
% 6.18/4.30 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB75) | (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB75) | (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1472,plain,
% 6.18/4.30 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB75) | (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)))))),
% 6.18/4.30 inference(quant_inst,[status(thm)],[])).
% 6.18/4.30 tff(1473,plain,
% 6.18/4.30 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB75) | (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1))))),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 6.18/4.30 tff(1474,plain,
% 6.18/4.30 (v111(constB75) | (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1))))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1473, 554])).
% 6.18/4.30 tff(1475,plain,
% 6.18/4.30 (~(((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1474, 1470])).
% 6.18/4.30 tff(1476,plain,
% 6.18/4.30 ((((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1))) | (~((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)))),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1477,plain,
% 6.18/4.30 (~((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1476, 1475])).
% 6.18/4.30 tff(1478,plain,
% 6.18/4.30 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))))),
% 6.18/4.30 inference(quant_inst,[status(thm)],[])).
% 6.18/4.30 tff(1479,plain,
% 6.18/4.30 (v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0))))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1478, 653])).
% 6.18/4.30 tff(1480,plain,
% 6.18/4.30 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1481,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74')).
% 6.18/4.30 tff(1482,plain,
% 6.18/4.30 (nextState(constB74, constB75)),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1481, 1480])).
% 6.18/4.30 tff(1483,plain,
% 6.18/4.30 (((~![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))))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1484,plain,
% 6.18/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))))),
% 6.18/4.30 inference(quant_inst,[status(thm)],[])).
% 6.18/4.30 tff(1485,plain,
% 6.18/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB74, constB75)) | (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 6.18/4.30 tff(1486,plain,
% 6.18/4.30 (v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75))))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1485, 1482, 433])).
% 6.18/4.30 tff(1487,plain,
% 6.18/4.30 (((~![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))))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1488,plain,
% 6.18/4.30 (((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75)))))) <=> ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1489,plain,
% 6.18/4.30 (((~![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)))))))),
% 6.18/4.30 inference(monotonicity,[status(thm)],[1488])).
% 6.18/4.30 tff(1490,plain,
% 6.18/4.30 (((~![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))))))),
% 6.18/4.30 inference(transitivity,[status(thm)],[1489, 1487])).
% 6.18/4.30 tff(1491,plain,
% 6.18/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v102(constB75)) | (~v1(constB75))))))),
% 6.18/4.30 inference(quant_inst,[status(thm)],[])).
% 6.18/4.30 tff(1492,plain,
% 6.18/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1491, 1490])).
% 6.18/4.30 tff(1493,plain,
% 6.18/4.30 (v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75))))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1492, 1482, 453])).
% 6.18/4.30 tff(1494,plain,
% 6.18/4.30 ((~v1(constB75)) <=> (~v1(constB75))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1495,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75')).
% 6.18/4.30 tff(1496,plain,
% 6.18/4.30 (~v1(constB75)),
% 6.18/4.30 inference(modus_ponens,[status(thm)],[1495, 1494])).
% 6.18/4.30 tff(1497,plain,
% 6.18/4.30 (((~v1(constB75)) | (~v102(constB75))) | v1(constB75)),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1498,plain,
% 6.18/4.30 ((~v1(constB75)) | (~v102(constB75))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1497, 1496])).
% 6.18/4.30 tff(1499,plain,
% 6.18/4.30 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75)) | (~((~v1(constB75)) | (~v102(constB75))))),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1500,plain,
% 6.18/4.30 ((~(v101(constB75) <=> (~((~v1(constB75)) | (~v102(constB75)))))) | (~v101(constB75))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1499, 1498])).
% 6.18/4.30 tff(1501,plain,
% 6.18/4.30 (~v101(constB75)),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1500, 1493])).
% 6.18/4.30 tff(1502,plain,
% 6.18/4.30 (((~v101(constB75)) | (~v110(constB75))) | v101(constB75)),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1503,plain,
% 6.18/4.30 ((~v101(constB75)) | (~v110(constB75))),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1502, 1501])).
% 6.18/4.30 tff(1504,plain,
% 6.18/4.30 ((~(v100(constB75) <=> (~((~v101(constB75)) | (~v110(constB75)))))) | (~v100(constB75)) | (~((~v101(constB75)) | (~v110(constB75))))),
% 6.18/4.30 inference(tautology,[status(thm)],[])).
% 6.18/4.30 tff(1505,plain,
% 6.18/4.30 (~v100(constB75)),
% 6.18/4.30 inference(unit_resolution,[status(thm)],[1504, 1503, 1486])).
% 6.18/4.30 tff(1506,plain,
% 6.18/4.30 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1507,plain,
% 6.18/4.30 ((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)))))),
% 6.18/4.30 inference(rewrite,[status(thm)],[])).
% 6.18/4.30 tff(1508,plain,
% 6.18/4.30 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.18/4.30 inference(monotonicity,[status(thm)],[1507])).
% 6.18/4.30 tff(1509,plain,
% 6.18/4.30 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.31 inference(transitivity,[status(thm)],[1508, 1506])).
% 6.18/4.31 tff(1510,plain,
% 6.18/4.31 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1511,plain,
% 6.18/4.31 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1510, 1509])).
% 6.18/4.31 tff(1512,plain,
% 6.18/4.31 (v100(constB75) | (~(((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1511, 1482, 482])).
% 6.18/4.31 tff(1513,plain,
% 6.18/4.31 (~(((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1512, 1505])).
% 6.18/4.31 tff(1514,plain,
% 6.18/4.31 ((((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))) | (~((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)))),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1515,plain,
% 6.18/4.31 (~((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1514, 1513])).
% 6.18/4.31 tff(1516,plain,
% 6.18/4.31 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1517,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73')).
% 6.18/4.31 tff(1518,plain,
% 6.18/4.31 (nextState(constB73, constB74)),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1517, 1516])).
% 6.18/4.31 tff(1519,plain,
% 6.18/4.31 (((~![VarNext: $i, 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)))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1520,plain,
% 6.18/4.31 ((~![VarNext: $i, 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)))))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1521,plain,
% 6.18/4.31 ((~![VarNext: $i, 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))))),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1520, 1519])).
% 6.18/4.31 tff(1522,plain,
% 6.18/4.31 (~(((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0)))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1521, 1518, 505])).
% 6.18/4.31 tff(1523,plain,
% 6.18/4.31 ((((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0))) | (~((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)))),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1524,plain,
% 6.18/4.31 (~((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1523, 1522])).
% 6.18/4.31 tff(1525,plain,
% 6.18/4.31 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB73) <=> v26(constB73))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1526,plain,
% 6.18/4.31 (v111(constB73) <=> v26(constB73)),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1525, 524])).
% 6.18/4.31 tff(1527,plain,
% 6.18/4.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1528,plain,
% 6.18/4.31 (~v26(constB73)),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1527, 536])).
% 6.18/4.31 tff(1529,plain,
% 6.18/4.31 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73)) | v26(constB73)),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1530,plain,
% 6.18/4.31 ((~(v111(constB73) <=> v26(constB73))) | (~v111(constB73))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1529, 1528])).
% 6.18/4.31 tff(1531,plain,
% 6.18/4.31 (~v111(constB73)),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1530, 1526])).
% 6.18/4.31 tff(1532,plain,
% 6.18/4.31 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB73) | (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB73) | (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1533,plain,
% 6.18/4.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB73) | (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)))))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1534,plain,
% 6.18/4.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB73) | (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1))))),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1533, 1532])).
% 6.18/4.31 tff(1535,plain,
% 6.18/4.31 (v111(constB73) | (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1))))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1534, 554])).
% 6.18/4.31 tff(1536,plain,
% 6.18/4.31 (~(((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1535, 1531])).
% 6.18/4.31 tff(1537,plain,
% 6.18/4.31 ((((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1))) | (~((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)))),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1538,plain,
% 6.18/4.31 (~((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1537, 1536])).
% 6.18/4.31 tff(1539,plain,
% 6.18/4.31 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2))))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1540,plain,
% 6.18/4.31 (v119(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1539, 727])).
% 6.18/4.31 tff(1541,plain,
% 6.18/4.31 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1542,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72')).
% 6.18/4.31 tff(1543,plain,
% 6.18/4.31 (nextState(constB72, constB73)),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 6.18/4.31 tff(1544,plain,
% 6.18/4.31 (((~![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))))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1545,plain,
% 6.18/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1546,plain,
% 6.18/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB72, constB73)) | (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 6.18/4.31 tff(1547,plain,
% 6.18/4.31 (v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73))))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1546, 1543, 433])).
% 6.18/4.31 tff(1548,plain,
% 6.18/4.31 (((~![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))))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1549,plain,
% 6.18/4.31 (((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73)))))) <=> ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1550,plain,
% 6.18/4.31 (((~![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)))))))),
% 6.18/4.31 inference(monotonicity,[status(thm)],[1549])).
% 6.18/4.31 tff(1551,plain,
% 6.18/4.31 (((~![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))))))),
% 6.18/4.31 inference(transitivity,[status(thm)],[1550, 1548])).
% 6.18/4.31 tff(1552,plain,
% 6.18/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v102(constB73)) | (~v1(constB73))))))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1553,plain,
% 6.18/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 6.18/4.31 tff(1554,plain,
% 6.18/4.31 (v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73))))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1553, 1543, 453])).
% 6.18/4.31 tff(1555,plain,
% 6.18/4.31 ((~v1(constB73)) <=> (~v1(constB73))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1556,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73')).
% 6.18/4.31 tff(1557,plain,
% 6.18/4.31 (~v1(constB73)),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 6.18/4.31 tff(1558,plain,
% 6.18/4.31 (((~v1(constB73)) | (~v102(constB73))) | v1(constB73)),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1559,plain,
% 6.18/4.31 ((~v1(constB73)) | (~v102(constB73))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1558, 1557])).
% 6.18/4.31 tff(1560,plain,
% 6.18/4.31 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73)) | (~((~v1(constB73)) | (~v102(constB73))))),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1561,plain,
% 6.18/4.31 ((~(v101(constB73) <=> (~((~v1(constB73)) | (~v102(constB73)))))) | (~v101(constB73))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1560, 1559])).
% 6.18/4.31 tff(1562,plain,
% 6.18/4.31 (~v101(constB73)),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1561, 1554])).
% 6.18/4.31 tff(1563,plain,
% 6.18/4.31 (((~v101(constB73)) | (~v110(constB73))) | v101(constB73)),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1564,plain,
% 6.18/4.31 ((~v101(constB73)) | (~v110(constB73))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1563, 1562])).
% 6.18/4.31 tff(1565,plain,
% 6.18/4.31 ((~(v100(constB73) <=> (~((~v101(constB73)) | (~v110(constB73)))))) | (~v100(constB73)) | (~((~v101(constB73)) | (~v110(constB73))))),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1566,plain,
% 6.18/4.31 (~v100(constB73)),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1565, 1564, 1547])).
% 6.18/4.31 tff(1567,plain,
% 6.18/4.31 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1568,plain,
% 6.18/4.31 ((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)))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1569,plain,
% 6.18/4.31 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.18/4.31 inference(monotonicity,[status(thm)],[1568])).
% 6.18/4.31 tff(1570,plain,
% 6.18/4.31 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.31 inference(transitivity,[status(thm)],[1569, 1567])).
% 6.18/4.31 tff(1571,plain,
% 6.18/4.31 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1572,plain,
% 6.18/4.31 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1571, 1570])).
% 6.18/4.31 tff(1573,plain,
% 6.18/4.31 (v100(constB73) | (~(((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1572, 1543, 482])).
% 6.18/4.31 tff(1574,plain,
% 6.18/4.31 (~(((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1573, 1566])).
% 6.18/4.31 tff(1575,plain,
% 6.18/4.31 ((((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))) | (~((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)))),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1576,plain,
% 6.18/4.31 (~((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1575, 1574])).
% 6.18/4.31 tff(1577,plain,
% 6.18/4.31 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1578,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71')).
% 6.18/4.31 tff(1579,plain,
% 6.18/4.31 (nextState(constB71, constB72)),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1578, 1577])).
% 6.18/4.31 tff(1580,plain,
% 6.18/4.31 (((~![VarNext: $i, 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)))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1581,plain,
% 6.18/4.31 ((~![VarNext: $i, 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)))))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1582,plain,
% 6.18/4.31 ((~![VarNext: $i, 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))))),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1581, 1580])).
% 6.18/4.31 tff(1583,plain,
% 6.18/4.31 (~(((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0)))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1582, 1579, 505])).
% 6.18/4.31 tff(1584,plain,
% 6.18/4.31 ((((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0))) | (~((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)))),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1585,plain,
% 6.18/4.31 (~((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1584, 1583])).
% 6.18/4.31 tff(1586,plain,
% 6.18/4.31 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB71) <=> v26(constB71))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1587,plain,
% 6.18/4.31 (v111(constB71) <=> v26(constB71)),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1586, 524])).
% 6.18/4.31 tff(1588,plain,
% 6.18/4.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1589,plain,
% 6.18/4.31 (~v26(constB71)),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1588, 536])).
% 6.18/4.31 tff(1590,plain,
% 6.18/4.31 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71)) | v26(constB71)),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1591,plain,
% 6.18/4.31 ((~(v111(constB71) <=> v26(constB71))) | (~v111(constB71))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1590, 1589])).
% 6.18/4.31 tff(1592,plain,
% 6.18/4.31 (~v111(constB71)),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1591, 1587])).
% 6.18/4.31 tff(1593,plain,
% 6.18/4.31 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB71) | (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB71) | (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1594,plain,
% 6.18/4.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB71) | (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)))))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1595,plain,
% 6.18/4.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB71) | (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1))))),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1594, 1593])).
% 6.18/4.31 tff(1596,plain,
% 6.18/4.31 (v111(constB71) | (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1))))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1595, 554])).
% 6.18/4.31 tff(1597,plain,
% 6.18/4.31 (~(((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1596, 1592])).
% 6.18/4.31 tff(1598,plain,
% 6.18/4.31 ((((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1))) | (~((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)))),
% 6.18/4.31 inference(tautology,[status(thm)],[])).
% 6.18/4.31 tff(1599,plain,
% 6.18/4.31 (~((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1598, 1597])).
% 6.18/4.31 tff(1600,plain,
% 6.18/4.31 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0))))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1601,plain,
% 6.18/4.31 ((v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex2))))) <=> (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0)))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1602,plain,
% 6.18/4.31 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0))))))),
% 6.18/4.31 inference(monotonicity,[status(thm)],[1601])).
% 6.18/4.31 tff(1603,plain,
% 6.18/4.31 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0))))))),
% 6.18/4.31 inference(transitivity,[status(thm)],[1602, 1600])).
% 6.18/4.31 tff(1604,plain,
% 6.18/4.31 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex2)))))),
% 6.18/4.31 inference(quant_inst,[status(thm)],[])).
% 6.18/4.31 tff(1605,plain,
% 6.18/4.31 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0)))))),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1604, 1603])).
% 6.18/4.31 tff(1606,plain,
% 6.18/4.31 (v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0))))),
% 6.18/4.31 inference(unit_resolution,[status(thm)],[1605, 801])).
% 6.18/4.31 tff(1607,plain,
% 6.18/4.31 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.31 tff(1608,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70')).
% 6.18/4.31 tff(1609,plain,
% 6.18/4.31 (nextState(constB70, constB71)),
% 6.18/4.31 inference(modus_ponens,[status(thm)],[1608, 1607])).
% 6.18/4.31 tff(1610,plain,
% 6.18/4.31 (((~![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))))))),
% 6.18/4.31 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1611,plain,
% 6.18/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))))),
% 6.18/4.32 inference(quant_inst,[status(thm)],[])).
% 6.18/4.32 tff(1612,plain,
% 6.18/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB70, constB71)) | (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1611, 1610])).
% 6.18/4.32 tff(1613,plain,
% 6.18/4.32 (v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71))))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1612, 1609, 433])).
% 6.18/4.32 tff(1614,plain,
% 6.18/4.32 (((~![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))))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1615,plain,
% 6.18/4.32 (((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71)))))) <=> ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1616,plain,
% 6.18/4.32 (((~![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)))))))),
% 6.18/4.32 inference(monotonicity,[status(thm)],[1615])).
% 6.18/4.32 tff(1617,plain,
% 6.18/4.32 (((~![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))))))),
% 6.18/4.32 inference(transitivity,[status(thm)],[1616, 1614])).
% 6.18/4.32 tff(1618,plain,
% 6.18/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v102(constB71)) | (~v1(constB71))))))),
% 6.18/4.32 inference(quant_inst,[status(thm)],[])).
% 6.18/4.32 tff(1619,plain,
% 6.18/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 6.18/4.32 tff(1620,plain,
% 6.18/4.32 (v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71))))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1619, 1609, 453])).
% 6.18/4.32 tff(1621,plain,
% 6.18/4.32 ((~v1(constB71)) <=> (~v1(constB71))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1622,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71')).
% 6.18/4.32 tff(1623,plain,
% 6.18/4.32 (~v1(constB71)),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 6.18/4.32 tff(1624,plain,
% 6.18/4.32 (((~v1(constB71)) | (~v102(constB71))) | v1(constB71)),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1625,plain,
% 6.18/4.32 ((~v1(constB71)) | (~v102(constB71))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1624, 1623])).
% 6.18/4.32 tff(1626,plain,
% 6.18/4.32 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71)) | (~((~v1(constB71)) | (~v102(constB71))))),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1627,plain,
% 6.18/4.32 ((~(v101(constB71) <=> (~((~v1(constB71)) | (~v102(constB71)))))) | (~v101(constB71))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1626, 1625])).
% 6.18/4.32 tff(1628,plain,
% 6.18/4.32 (~v101(constB71)),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1627, 1620])).
% 6.18/4.32 tff(1629,plain,
% 6.18/4.32 (((~v101(constB71)) | (~v110(constB71))) | v101(constB71)),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1630,plain,
% 6.18/4.32 ((~v101(constB71)) | (~v110(constB71))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1629, 1628])).
% 6.18/4.32 tff(1631,plain,
% 6.18/4.32 ((~(v100(constB71) <=> (~((~v101(constB71)) | (~v110(constB71)))))) | (~v100(constB71)) | (~((~v101(constB71)) | (~v110(constB71))))),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1632,plain,
% 6.18/4.32 (~v100(constB71)),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1631, 1630, 1613])).
% 6.18/4.32 tff(1633,plain,
% 6.18/4.32 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1634,plain,
% 6.18/4.32 ((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)))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1635,plain,
% 6.18/4.32 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.18/4.32 inference(monotonicity,[status(thm)],[1634])).
% 6.18/4.32 tff(1636,plain,
% 6.18/4.32 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.32 inference(transitivity,[status(thm)],[1635, 1633])).
% 6.18/4.32 tff(1637,plain,
% 6.18/4.32 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.32 inference(quant_inst,[status(thm)],[])).
% 6.18/4.32 tff(1638,plain,
% 6.18/4.32 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 6.18/4.32 tff(1639,plain,
% 6.18/4.32 (v100(constB71) | (~(((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1638, 1609, 482])).
% 6.18/4.32 tff(1640,plain,
% 6.18/4.32 (~(((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1639, 1632])).
% 6.18/4.32 tff(1641,plain,
% 6.18/4.32 ((((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))) | (~((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)))),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1642,plain,
% 6.18/4.32 (~((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1641, 1640])).
% 6.18/4.32 tff(1643,plain,
% 6.18/4.32 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1644,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69')).
% 6.18/4.32 tff(1645,plain,
% 6.18/4.32 (nextState(constB69, constB70)),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 6.18/4.32 tff(1646,plain,
% 6.18/4.32 (((~![VarNext: $i, 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)))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1647,plain,
% 6.18/4.32 ((~![VarNext: $i, 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)))))),
% 6.18/4.32 inference(quant_inst,[status(thm)],[])).
% 6.18/4.32 tff(1648,plain,
% 6.18/4.32 ((~![VarNext: $i, 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))))),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 6.18/4.32 tff(1649,plain,
% 6.18/4.32 (~(((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0)))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1648, 1645, 505])).
% 6.18/4.32 tff(1650,plain,
% 6.18/4.32 ((((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0))) | (~((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)))),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1651,plain,
% 6.18/4.32 (~((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1650, 1649])).
% 6.18/4.32 tff(1652,plain,
% 6.18/4.32 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB69) <=> v26(constB69))),
% 6.18/4.32 inference(quant_inst,[status(thm)],[])).
% 6.18/4.32 tff(1653,plain,
% 6.18/4.32 (v111(constB69) <=> v26(constB69)),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1652, 524])).
% 6.18/4.32 tff(1654,plain,
% 6.18/4.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 6.18/4.32 inference(quant_inst,[status(thm)],[])).
% 6.18/4.32 tff(1655,plain,
% 6.18/4.32 (~v26(constB69)),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1654, 536])).
% 6.18/4.32 tff(1656,plain,
% 6.18/4.32 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69)) | v26(constB69)),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1657,plain,
% 6.18/4.32 ((~(v111(constB69) <=> v26(constB69))) | (~v111(constB69))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1656, 1655])).
% 6.18/4.32 tff(1658,plain,
% 6.18/4.32 (~v111(constB69)),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1657, 1653])).
% 6.18/4.32 tff(1659,plain,
% 6.18/4.32 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB69) | (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB69) | (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1660,plain,
% 6.18/4.32 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB69) | (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)))))),
% 6.18/4.32 inference(quant_inst,[status(thm)],[])).
% 6.18/4.32 tff(1661,plain,
% 6.18/4.32 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB69) | (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1))))),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1660, 1659])).
% 6.18/4.32 tff(1662,plain,
% 6.18/4.32 (v111(constB69) | (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1))))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1661, 554])).
% 6.18/4.32 tff(1663,plain,
% 6.18/4.32 (~(((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1662, 1658])).
% 6.18/4.32 tff(1664,plain,
% 6.18/4.32 ((((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1))) | (~((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)))),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1665,plain,
% 6.18/4.32 (~((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1664, 1663])).
% 6.18/4.32 tff(1666,plain,
% 6.18/4.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2))))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1667,plain,
% 6.18/4.32 ((v123(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2))))) <=> (v123(constB69) <=> (~(v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2)))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1668,plain,
% 6.18/4.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2))))))),
% 6.18/4.32 inference(monotonicity,[status(thm)],[1667])).
% 6.18/4.32 tff(1669,plain,
% 6.18/4.32 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2))))))),
% 6.18/4.32 inference(transitivity,[status(thm)],[1668, 1666])).
% 6.18/4.32 tff(1670,plain,
% 6.18/4.32 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex0) | v90(constB69, bitIndex1) | (~v90(constB69, bitIndex2)))))),
% 6.18/4.32 inference(quant_inst,[status(thm)],[])).
% 6.18/4.32 tff(1671,plain,
% 6.18/4.32 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB69) <=> (~(v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2)))))),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1670, 1669])).
% 6.18/4.32 tff(1672,plain,
% 6.18/4.32 (v123(constB69) <=> (~(v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2))))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1671, 880])).
% 6.18/4.32 tff(1673,plain,
% 6.18/4.32 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1674,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68')).
% 6.18/4.32 tff(1675,plain,
% 6.18/4.32 (nextState(constB68, constB69)),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1674, 1673])).
% 6.18/4.32 tff(1676,plain,
% 6.18/4.32 (((~![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))))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1677,plain,
% 6.18/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))))),
% 6.18/4.32 inference(quant_inst,[status(thm)],[])).
% 6.18/4.32 tff(1678,plain,
% 6.18/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB68, constB69)) | (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 6.18/4.32 tff(1679,plain,
% 6.18/4.32 (v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69))))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1678, 1675, 433])).
% 6.18/4.32 tff(1680,plain,
% 6.18/4.32 (((~![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))))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1681,plain,
% 6.18/4.32 (((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69)))))) <=> ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1682,plain,
% 6.18/4.32 (((~![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)))))))),
% 6.18/4.32 inference(monotonicity,[status(thm)],[1681])).
% 6.18/4.32 tff(1683,plain,
% 6.18/4.32 (((~![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))))))),
% 6.18/4.32 inference(transitivity,[status(thm)],[1682, 1680])).
% 6.18/4.32 tff(1684,plain,
% 6.18/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v102(constB69)) | (~v1(constB69))))))),
% 6.18/4.32 inference(quant_inst,[status(thm)],[])).
% 6.18/4.32 tff(1685,plain,
% 6.18/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1684, 1683])).
% 6.18/4.32 tff(1686,plain,
% 6.18/4.32 (v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69))))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1685, 1675, 453])).
% 6.18/4.32 tff(1687,plain,
% 6.18/4.32 ((~v1(constB69)) <=> (~v1(constB69))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1688,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69')).
% 6.18/4.32 tff(1689,plain,
% 6.18/4.32 (~v1(constB69)),
% 6.18/4.32 inference(modus_ponens,[status(thm)],[1688, 1687])).
% 6.18/4.32 tff(1690,plain,
% 6.18/4.32 (((~v1(constB69)) | (~v102(constB69))) | v1(constB69)),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1691,plain,
% 6.18/4.32 ((~v1(constB69)) | (~v102(constB69))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1690, 1689])).
% 6.18/4.32 tff(1692,plain,
% 6.18/4.32 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69)) | (~((~v1(constB69)) | (~v102(constB69))))),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1693,plain,
% 6.18/4.32 ((~(v101(constB69) <=> (~((~v1(constB69)) | (~v102(constB69)))))) | (~v101(constB69))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1692, 1691])).
% 6.18/4.32 tff(1694,plain,
% 6.18/4.32 (~v101(constB69)),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1693, 1686])).
% 6.18/4.32 tff(1695,plain,
% 6.18/4.32 (((~v101(constB69)) | (~v110(constB69))) | v101(constB69)),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1696,plain,
% 6.18/4.32 ((~v101(constB69)) | (~v110(constB69))),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1695, 1694])).
% 6.18/4.32 tff(1697,plain,
% 6.18/4.32 ((~(v100(constB69) <=> (~((~v101(constB69)) | (~v110(constB69)))))) | (~v100(constB69)) | (~((~v101(constB69)) | (~v110(constB69))))),
% 6.18/4.32 inference(tautology,[status(thm)],[])).
% 6.18/4.32 tff(1698,plain,
% 6.18/4.32 (~v100(constB69)),
% 6.18/4.32 inference(unit_resolution,[status(thm)],[1697, 1696, 1679])).
% 6.18/4.32 tff(1699,plain,
% 6.18/4.32 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1700,plain,
% 6.18/4.32 ((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)))))),
% 6.18/4.32 inference(rewrite,[status(thm)],[])).
% 6.18/4.32 tff(1701,plain,
% 6.18/4.32 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.18/4.33 inference(monotonicity,[status(thm)],[1700])).
% 6.18/4.33 tff(1702,plain,
% 6.18/4.33 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.33 inference(transitivity,[status(thm)],[1701, 1699])).
% 6.18/4.33 tff(1703,plain,
% 6.18/4.33 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.33 inference(quant_inst,[status(thm)],[])).
% 6.18/4.33 tff(1704,plain,
% 6.18/4.33 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 6.18/4.33 tff(1705,plain,
% 6.18/4.33 (v100(constB69) | (~(((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1704, 1675, 482])).
% 6.18/4.33 tff(1706,plain,
% 6.18/4.33 (~(((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1705, 1698])).
% 6.18/4.33 tff(1707,plain,
% 6.18/4.33 ((((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))) | (~((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)))),
% 6.18/4.33 inference(tautology,[status(thm)],[])).
% 6.18/4.33 tff(1708,plain,
% 6.18/4.33 (~((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1707, 1706])).
% 6.18/4.33 tff(1709,plain,
% 6.18/4.33 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1710,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67')).
% 6.18/4.33 tff(1711,plain,
% 6.18/4.33 (nextState(constB67, constB68)),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1710, 1709])).
% 6.18/4.33 tff(1712,plain,
% 6.18/4.33 (((~![VarNext: $i, 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)))))),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1713,plain,
% 6.18/4.33 ((~![VarNext: $i, 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)))))),
% 6.18/4.33 inference(quant_inst,[status(thm)],[])).
% 6.18/4.33 tff(1714,plain,
% 6.18/4.33 ((~![VarNext: $i, 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))))),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 6.18/4.33 tff(1715,plain,
% 6.18/4.33 (~(((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0)))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1714, 1711, 505])).
% 6.18/4.33 tff(1716,plain,
% 6.18/4.33 ((((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0))) | (~((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)))),
% 6.18/4.33 inference(tautology,[status(thm)],[])).
% 6.18/4.33 tff(1717,plain,
% 6.18/4.33 (~((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1716, 1715])).
% 6.18/4.33 tff(1718,plain,
% 6.18/4.33 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB67) <=> v26(constB67))),
% 6.18/4.33 inference(quant_inst,[status(thm)],[])).
% 6.18/4.33 tff(1719,plain,
% 6.18/4.33 (v111(constB67) <=> v26(constB67)),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1718, 524])).
% 6.18/4.33 tff(1720,plain,
% 6.18/4.33 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 6.18/4.33 inference(quant_inst,[status(thm)],[])).
% 6.18/4.33 tff(1721,plain,
% 6.18/4.33 (~v26(constB67)),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1720, 536])).
% 6.18/4.33 tff(1722,plain,
% 6.18/4.33 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67)) | v26(constB67)),
% 6.18/4.33 inference(tautology,[status(thm)],[])).
% 6.18/4.33 tff(1723,plain,
% 6.18/4.33 ((~(v111(constB67) <=> v26(constB67))) | (~v111(constB67))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1722, 1721])).
% 6.18/4.33 tff(1724,plain,
% 6.18/4.33 (~v111(constB67)),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1723, 1719])).
% 6.18/4.33 tff(1725,plain,
% 6.18/4.33 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB67) | (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB67) | (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)))))),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1726,plain,
% 6.18/4.33 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB67) | (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)))))),
% 6.18/4.33 inference(quant_inst,[status(thm)],[])).
% 6.18/4.33 tff(1727,plain,
% 6.18/4.33 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB67) | (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1))))),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 6.18/4.33 tff(1728,plain,
% 6.18/4.33 (v111(constB67) | (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1))))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1727, 554])).
% 6.18/4.33 tff(1729,plain,
% 6.18/4.33 (~(((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1728, 1724])).
% 6.18/4.33 tff(1730,plain,
% 6.18/4.33 ((((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1))) | (~((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)))),
% 6.18/4.33 inference(tautology,[status(thm)],[])).
% 6.18/4.33 tff(1731,plain,
% 6.18/4.33 (~((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1730, 1729])).
% 6.18/4.33 tff(1732,plain,
% 6.18/4.33 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))))))),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1733,plain,
% 6.18/4.33 ((v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1))))) <=> (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))))),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1734,plain,
% 6.18/4.33 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))))))),
% 6.18/4.33 inference(monotonicity,[status(thm)],[1733])).
% 6.18/4.33 tff(1735,plain,
% 6.18/4.33 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))))))),
% 6.18/4.33 inference(transitivity,[status(thm)],[1734, 1732])).
% 6.18/4.33 tff(1736,plain,
% 6.18/4.33 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex0)) | (~v90(constB67, bitIndex1)))))),
% 6.18/4.33 inference(quant_inst,[status(thm)],[])).
% 6.18/4.33 tff(1737,plain,
% 6.18/4.33 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))))),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1736, 1735])).
% 6.18/4.33 tff(1738,plain,
% 6.18/4.33 (v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1737, 959])).
% 6.18/4.33 tff(1739,plain,
% 6.18/4.33 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1740,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66')).
% 6.18/4.33 tff(1741,plain,
% 6.18/4.33 (nextState(constB66, constB67)),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1740, 1739])).
% 6.18/4.33 tff(1742,plain,
% 6.18/4.33 (((~![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))))))),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1743,plain,
% 6.18/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))))),
% 6.18/4.33 inference(quant_inst,[status(thm)],[])).
% 6.18/4.33 tff(1744,plain,
% 6.18/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB66, constB67)) | (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1743, 1742])).
% 6.18/4.33 tff(1745,plain,
% 6.18/4.33 (v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67))))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1744, 1741, 433])).
% 6.18/4.33 tff(1746,plain,
% 6.18/4.33 (((~![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))))))),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1747,plain,
% 6.18/4.33 (((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67)))))) <=> ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))))),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1748,plain,
% 6.18/4.33 (((~![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)))))))),
% 6.18/4.33 inference(monotonicity,[status(thm)],[1747])).
% 6.18/4.33 tff(1749,plain,
% 6.18/4.33 (((~![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))))))),
% 6.18/4.33 inference(transitivity,[status(thm)],[1748, 1746])).
% 6.18/4.33 tff(1750,plain,
% 6.18/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v102(constB67)) | (~v1(constB67))))))),
% 6.18/4.33 inference(quant_inst,[status(thm)],[])).
% 6.18/4.33 tff(1751,plain,
% 6.18/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 6.18/4.33 tff(1752,plain,
% 6.18/4.33 (v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67))))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1751, 1741, 453])).
% 6.18/4.33 tff(1753,plain,
% 6.18/4.33 ((~v1(constB67)) <=> (~v1(constB67))),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1754,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67')).
% 6.18/4.33 tff(1755,plain,
% 6.18/4.33 (~v1(constB67)),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 6.18/4.33 tff(1756,plain,
% 6.18/4.33 (((~v1(constB67)) | (~v102(constB67))) | v1(constB67)),
% 6.18/4.33 inference(tautology,[status(thm)],[])).
% 6.18/4.33 tff(1757,plain,
% 6.18/4.33 ((~v1(constB67)) | (~v102(constB67))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1756, 1755])).
% 6.18/4.33 tff(1758,plain,
% 6.18/4.33 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67)) | (~((~v1(constB67)) | (~v102(constB67))))),
% 6.18/4.33 inference(tautology,[status(thm)],[])).
% 6.18/4.33 tff(1759,plain,
% 6.18/4.33 ((~(v101(constB67) <=> (~((~v1(constB67)) | (~v102(constB67)))))) | (~v101(constB67))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1758, 1757])).
% 6.18/4.33 tff(1760,plain,
% 6.18/4.33 (~v101(constB67)),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1759, 1752])).
% 6.18/4.33 tff(1761,plain,
% 6.18/4.33 (((~v101(constB67)) | (~v110(constB67))) | v101(constB67)),
% 6.18/4.33 inference(tautology,[status(thm)],[])).
% 6.18/4.33 tff(1762,plain,
% 6.18/4.33 ((~v101(constB67)) | (~v110(constB67))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1761, 1760])).
% 6.18/4.33 tff(1763,plain,
% 6.18/4.33 ((~(v100(constB67) <=> (~((~v101(constB67)) | (~v110(constB67)))))) | (~v100(constB67)) | (~((~v101(constB67)) | (~v110(constB67))))),
% 6.18/4.33 inference(tautology,[status(thm)],[])).
% 6.18/4.33 tff(1764,plain,
% 6.18/4.33 (~v100(constB67)),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1763, 1762, 1745])).
% 6.18/4.33 tff(1765,plain,
% 6.18/4.33 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1766,plain,
% 6.18/4.33 ((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)))))),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1767,plain,
% 6.18/4.33 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.18/4.33 inference(monotonicity,[status(thm)],[1766])).
% 6.18/4.33 tff(1768,plain,
% 6.18/4.33 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.33 inference(transitivity,[status(thm)],[1767, 1765])).
% 6.18/4.33 tff(1769,plain,
% 6.18/4.33 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.33 inference(quant_inst,[status(thm)],[])).
% 6.18/4.33 tff(1770,plain,
% 6.18/4.33 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 6.18/4.33 tff(1771,plain,
% 6.18/4.33 (v100(constB67) | (~(((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1770, 1741, 482])).
% 6.18/4.33 tff(1772,plain,
% 6.18/4.33 (~(((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1771, 1764])).
% 6.18/4.33 tff(1773,plain,
% 6.18/4.33 ((((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))) | (~((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)))),
% 6.18/4.33 inference(tautology,[status(thm)],[])).
% 6.18/4.33 tff(1774,plain,
% 6.18/4.33 (~((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1773, 1772])).
% 6.18/4.33 tff(1775,plain,
% 6.18/4.33 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1776,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65')).
% 6.18/4.33 tff(1777,plain,
% 6.18/4.33 (nextState(constB65, constB66)),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1776, 1775])).
% 6.18/4.33 tff(1778,plain,
% 6.18/4.33 (((~![VarNext: $i, 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)))))),
% 6.18/4.33 inference(rewrite,[status(thm)],[])).
% 6.18/4.33 tff(1779,plain,
% 6.18/4.33 ((~![VarNext: $i, 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)))))),
% 6.18/4.33 inference(quant_inst,[status(thm)],[])).
% 6.18/4.33 tff(1780,plain,
% 6.18/4.33 ((~![VarNext: $i, 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))))),
% 6.18/4.33 inference(modus_ponens,[status(thm)],[1779, 1778])).
% 6.18/4.33 tff(1781,plain,
% 6.18/4.33 (~(((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0)))),
% 6.18/4.33 inference(unit_resolution,[status(thm)],[1780, 1777, 505])).
% 6.18/4.33 tff(1782,plain,
% 6.18/4.33 ((((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0))) | (~((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)))),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1783,plain,
% 6.18/4.34 (~((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1782, 1781])).
% 6.18/4.34 tff(1784,plain,
% 6.18/4.34 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB65) <=> v26(constB65))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1785,plain,
% 6.18/4.34 (v111(constB65) <=> v26(constB65)),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1784, 524])).
% 6.18/4.34 tff(1786,plain,
% 6.18/4.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1787,plain,
% 6.18/4.34 (~v26(constB65)),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1786, 536])).
% 6.18/4.34 tff(1788,plain,
% 6.18/4.34 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65)) | v26(constB65)),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1789,plain,
% 6.18/4.34 ((~(v111(constB65) <=> v26(constB65))) | (~v111(constB65))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1788, 1787])).
% 6.18/4.34 tff(1790,plain,
% 6.18/4.34 (~v111(constB65)),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1789, 1785])).
% 6.18/4.34 tff(1791,plain,
% 6.18/4.34 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB65) | (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB65) | (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1792,plain,
% 6.18/4.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB65) | (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)))))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1793,plain,
% 6.18/4.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB65) | (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1))))),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1792, 1791])).
% 6.18/4.34 tff(1794,plain,
% 6.18/4.34 (v111(constB65) | (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1))))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1793, 554])).
% 6.18/4.34 tff(1795,plain,
% 6.18/4.34 (~(((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1794, 1790])).
% 6.18/4.34 tff(1796,plain,
% 6.18/4.34 ((((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1))) | (~((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)))),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1797,plain,
% 6.18/4.34 (~((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1796, 1795])).
% 6.18/4.34 tff(1798,plain,
% 6.18/4.34 (((~![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))))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1799,plain,
% 6.18/4.34 ((v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1))))) <=> (v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1800,plain,
% 6.18/4.34 (((~![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))))))),
% 6.18/4.34 inference(monotonicity,[status(thm)],[1799])).
% 6.18/4.34 tff(1801,plain,
% 6.18/4.34 (((~![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))))))),
% 6.18/4.34 inference(transitivity,[status(thm)],[1800, 1798])).
% 6.18/4.34 tff(1802,plain,
% 6.18/4.34 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex0) | v90(constB65, bitIndex2) | (~v90(constB65, bitIndex1)))))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1803,plain,
% 6.18/4.34 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)))))),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 6.18/4.34 tff(1804,plain,
% 6.18/4.34 (v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1))))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1803, 574])).
% 6.18/4.34 tff(1805,plain,
% 6.18/4.34 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1806,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64')).
% 6.18/4.34 tff(1807,plain,
% 6.18/4.34 (nextState(constB64, constB65)),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 6.18/4.34 tff(1808,plain,
% 6.18/4.34 (((~![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))))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1809,plain,
% 6.18/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1810,plain,
% 6.18/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB64, constB65)) | (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1809, 1808])).
% 6.18/4.34 tff(1811,plain,
% 6.18/4.34 (v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65))))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1810, 1807, 433])).
% 6.18/4.34 tff(1812,plain,
% 6.18/4.34 (((~![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))))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1813,plain,
% 6.18/4.34 (((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65)))))) <=> ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1814,plain,
% 6.18/4.34 (((~![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)))))))),
% 6.18/4.34 inference(monotonicity,[status(thm)],[1813])).
% 6.18/4.34 tff(1815,plain,
% 6.18/4.34 (((~![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))))))),
% 6.18/4.34 inference(transitivity,[status(thm)],[1814, 1812])).
% 6.18/4.34 tff(1816,plain,
% 6.18/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v102(constB65)) | (~v1(constB65))))))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1817,plain,
% 6.18/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1816, 1815])).
% 6.18/4.34 tff(1818,plain,
% 6.18/4.34 (v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65))))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1817, 1807, 453])).
% 6.18/4.34 tff(1819,plain,
% 6.18/4.34 ((~v1(constB65)) <=> (~v1(constB65))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1820,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65')).
% 6.18/4.34 tff(1821,plain,
% 6.18/4.34 (~v1(constB65)),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1820, 1819])).
% 6.18/4.34 tff(1822,plain,
% 6.18/4.34 (((~v1(constB65)) | (~v102(constB65))) | v1(constB65)),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1823,plain,
% 6.18/4.34 ((~v1(constB65)) | (~v102(constB65))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1822, 1821])).
% 6.18/4.34 tff(1824,plain,
% 6.18/4.34 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65)) | (~((~v1(constB65)) | (~v102(constB65))))),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1825,plain,
% 6.18/4.34 ((~(v101(constB65) <=> (~((~v1(constB65)) | (~v102(constB65)))))) | (~v101(constB65))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1824, 1823])).
% 6.18/4.34 tff(1826,plain,
% 6.18/4.34 (~v101(constB65)),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1825, 1818])).
% 6.18/4.34 tff(1827,plain,
% 6.18/4.34 (((~v101(constB65)) | (~v110(constB65))) | v101(constB65)),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1828,plain,
% 6.18/4.34 ((~v101(constB65)) | (~v110(constB65))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1827, 1826])).
% 6.18/4.34 tff(1829,plain,
% 6.18/4.34 ((~(v100(constB65) <=> (~((~v101(constB65)) | (~v110(constB65)))))) | (~v100(constB65)) | (~((~v101(constB65)) | (~v110(constB65))))),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1830,plain,
% 6.18/4.34 (~v100(constB65)),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1829, 1828, 1811])).
% 6.18/4.34 tff(1831,plain,
% 6.18/4.34 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1832,plain,
% 6.18/4.34 ((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)))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1833,plain,
% 6.18/4.34 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.18/4.34 inference(monotonicity,[status(thm)],[1832])).
% 6.18/4.34 tff(1834,plain,
% 6.18/4.34 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.34 inference(transitivity,[status(thm)],[1833, 1831])).
% 6.18/4.34 tff(1835,plain,
% 6.18/4.34 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1836,plain,
% 6.18/4.34 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1835, 1834])).
% 6.18/4.34 tff(1837,plain,
% 6.18/4.34 (v100(constB65) | (~(((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1836, 1807, 482])).
% 6.18/4.34 tff(1838,plain,
% 6.18/4.34 (~(((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1837, 1830])).
% 6.18/4.34 tff(1839,plain,
% 6.18/4.34 ((((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))) | (~((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)))),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1840,plain,
% 6.18/4.34 (~((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1839, 1838])).
% 6.18/4.34 tff(1841,plain,
% 6.18/4.34 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1842,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63')).
% 6.18/4.34 tff(1843,plain,
% 6.18/4.34 (nextState(constB63, constB64)),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1842, 1841])).
% 6.18/4.34 tff(1844,plain,
% 6.18/4.34 (((~![VarNext: $i, 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)))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1845,plain,
% 6.18/4.34 ((~![VarNext: $i, 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)))))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1846,plain,
% 6.18/4.34 ((~![VarNext: $i, 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))))),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 6.18/4.34 tff(1847,plain,
% 6.18/4.34 (~(((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0)))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1846, 1843, 505])).
% 6.18/4.34 tff(1848,plain,
% 6.18/4.34 ((((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0))) | (~((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)))),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1849,plain,
% 6.18/4.34 (~((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1848, 1847])).
% 6.18/4.34 tff(1850,plain,
% 6.18/4.34 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB63) <=> v26(constB63))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1851,plain,
% 6.18/4.34 (v111(constB63) <=> v26(constB63)),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1850, 524])).
% 6.18/4.34 tff(1852,plain,
% 6.18/4.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1853,plain,
% 6.18/4.34 (~v26(constB63)),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1852, 536])).
% 6.18/4.34 tff(1854,plain,
% 6.18/4.34 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63)) | v26(constB63)),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1855,plain,
% 6.18/4.34 ((~(v111(constB63) <=> v26(constB63))) | (~v111(constB63))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1854, 1853])).
% 6.18/4.34 tff(1856,plain,
% 6.18/4.34 (~v111(constB63)),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1855, 1851])).
% 6.18/4.34 tff(1857,plain,
% 6.18/4.34 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB63) | (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB63) | (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1858,plain,
% 6.18/4.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB63) | (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)))))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1859,plain,
% 6.18/4.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB63) | (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1))))),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1858, 1857])).
% 6.18/4.34 tff(1860,plain,
% 6.18/4.34 (v111(constB63) | (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1))))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1859, 554])).
% 6.18/4.34 tff(1861,plain,
% 6.18/4.34 (~(((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1860, 1856])).
% 6.18/4.34 tff(1862,plain,
% 6.18/4.34 ((((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1))) | (~((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)))),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1863,plain,
% 6.18/4.34 (~((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1862, 1861])).
% 6.18/4.34 tff(1864,plain,
% 6.18/4.34 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0)))))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1865,plain,
% 6.18/4.34 (v120(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0))))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1864, 653])).
% 6.18/4.34 tff(1866,plain,
% 6.18/4.34 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1867,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62')).
% 6.18/4.34 tff(1868,plain,
% 6.18/4.34 (nextState(constB62, constB63)),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1867, 1866])).
% 6.18/4.34 tff(1869,plain,
% 6.18/4.34 (((~![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))))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1870,plain,
% 6.18/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1871,plain,
% 6.18/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB62, constB63)) | (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 6.18/4.34 tff(1872,plain,
% 6.18/4.34 (v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63))))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1871, 1868, 433])).
% 6.18/4.34 tff(1873,plain,
% 6.18/4.34 (((~![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))))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1874,plain,
% 6.18/4.34 (((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63)))))) <=> ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1875,plain,
% 6.18/4.34 (((~![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)))))))),
% 6.18/4.34 inference(monotonicity,[status(thm)],[1874])).
% 6.18/4.34 tff(1876,plain,
% 6.18/4.34 (((~![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))))))),
% 6.18/4.34 inference(transitivity,[status(thm)],[1875, 1873])).
% 6.18/4.34 tff(1877,plain,
% 6.18/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v102(constB63)) | (~v1(constB63))))))),
% 6.18/4.34 inference(quant_inst,[status(thm)],[])).
% 6.18/4.34 tff(1878,plain,
% 6.18/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1877, 1876])).
% 6.18/4.34 tff(1879,plain,
% 6.18/4.34 (v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63))))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1878, 1868, 453])).
% 6.18/4.34 tff(1880,plain,
% 6.18/4.34 ((~v1(constB63)) <=> (~v1(constB63))),
% 6.18/4.34 inference(rewrite,[status(thm)],[])).
% 6.18/4.34 tff(1881,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63')).
% 6.18/4.34 tff(1882,plain,
% 6.18/4.34 (~v1(constB63)),
% 6.18/4.34 inference(modus_ponens,[status(thm)],[1881, 1880])).
% 6.18/4.34 tff(1883,plain,
% 6.18/4.34 (((~v1(constB63)) | (~v102(constB63))) | v1(constB63)),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1884,plain,
% 6.18/4.34 ((~v1(constB63)) | (~v102(constB63))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1883, 1882])).
% 6.18/4.34 tff(1885,plain,
% 6.18/4.34 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63)) | (~((~v1(constB63)) | (~v102(constB63))))),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1886,plain,
% 6.18/4.34 ((~(v101(constB63) <=> (~((~v1(constB63)) | (~v102(constB63)))))) | (~v101(constB63))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1885, 1884])).
% 6.18/4.34 tff(1887,plain,
% 6.18/4.34 (~v101(constB63)),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1886, 1879])).
% 6.18/4.34 tff(1888,plain,
% 6.18/4.34 (((~v101(constB63)) | (~v110(constB63))) | v101(constB63)),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1889,plain,
% 6.18/4.34 ((~v101(constB63)) | (~v110(constB63))),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1888, 1887])).
% 6.18/4.34 tff(1890,plain,
% 6.18/4.34 ((~(v100(constB63) <=> (~((~v101(constB63)) | (~v110(constB63)))))) | (~v100(constB63)) | (~((~v101(constB63)) | (~v110(constB63))))),
% 6.18/4.34 inference(tautology,[status(thm)],[])).
% 6.18/4.34 tff(1891,plain,
% 6.18/4.34 (~v100(constB63)),
% 6.18/4.34 inference(unit_resolution,[status(thm)],[1890, 1889, 1872])).
% 6.18/4.34 tff(1892,plain,
% 6.18/4.34 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1893,plain,
% 6.18/4.35 ((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)))))),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1894,plain,
% 6.18/4.35 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.18/4.35 inference(monotonicity,[status(thm)],[1893])).
% 6.18/4.35 tff(1895,plain,
% 6.18/4.35 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.35 inference(transitivity,[status(thm)],[1894, 1892])).
% 6.18/4.35 tff(1896,plain,
% 6.18/4.35 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1897,plain,
% 6.18/4.35 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.18/4.35 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 6.18/4.35 tff(1898,plain,
% 6.18/4.35 (v100(constB63) | (~(((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1897, 1868, 482])).
% 6.18/4.35 tff(1899,plain,
% 6.18/4.35 (~(((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1898, 1891])).
% 6.18/4.35 tff(1900,plain,
% 6.18/4.35 ((((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))) | (~((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)))),
% 6.18/4.35 inference(tautology,[status(thm)],[])).
% 6.18/4.35 tff(1901,plain,
% 6.18/4.35 (~((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1900, 1899])).
% 6.18/4.35 tff(1902,plain,
% 6.18/4.35 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1903,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61')).
% 6.18/4.35 tff(1904,plain,
% 6.18/4.35 (nextState(constB61, constB62)),
% 6.18/4.35 inference(modus_ponens,[status(thm)],[1903, 1902])).
% 6.18/4.35 tff(1905,plain,
% 6.18/4.35 (((~![VarNext: $i, 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)))))),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1906,plain,
% 6.18/4.35 ((~![VarNext: $i, 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)))))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1907,plain,
% 6.18/4.35 ((~![VarNext: $i, 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))))),
% 6.18/4.35 inference(modus_ponens,[status(thm)],[1906, 1905])).
% 6.18/4.35 tff(1908,plain,
% 6.18/4.35 (~(((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0)))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1907, 1904, 505])).
% 6.18/4.35 tff(1909,plain,
% 6.18/4.35 ((((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0))) | (~((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)))),
% 6.18/4.35 inference(tautology,[status(thm)],[])).
% 6.18/4.35 tff(1910,plain,
% 6.18/4.35 (~((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1909, 1908])).
% 6.18/4.35 tff(1911,plain,
% 6.18/4.35 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB61) <=> v26(constB61))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1912,plain,
% 6.18/4.35 (v111(constB61) <=> v26(constB61)),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1911, 524])).
% 6.18/4.35 tff(1913,plain,
% 6.18/4.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1914,plain,
% 6.18/4.35 (~v26(constB61)),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1913, 536])).
% 6.18/4.35 tff(1915,plain,
% 6.18/4.35 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61)) | v26(constB61)),
% 6.18/4.35 inference(tautology,[status(thm)],[])).
% 6.18/4.35 tff(1916,plain,
% 6.18/4.35 ((~(v111(constB61) <=> v26(constB61))) | (~v111(constB61))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1915, 1914])).
% 6.18/4.35 tff(1917,plain,
% 6.18/4.35 (~v111(constB61)),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1916, 1912])).
% 6.18/4.35 tff(1918,plain,
% 6.18/4.35 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB61) | (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB61) | (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)))))),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1919,plain,
% 6.18/4.35 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB61) | (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)))))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1920,plain,
% 6.18/4.35 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB61) | (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1))))),
% 6.18/4.35 inference(modus_ponens,[status(thm)],[1919, 1918])).
% 6.18/4.35 tff(1921,plain,
% 6.18/4.35 (v111(constB61) | (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1))))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1920, 554])).
% 6.18/4.35 tff(1922,plain,
% 6.18/4.35 (~(((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1921, 1917])).
% 6.18/4.35 tff(1923,plain,
% 6.18/4.35 ((((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1))) | (~((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)))),
% 6.18/4.35 inference(tautology,[status(thm)],[])).
% 6.18/4.35 tff(1924,plain,
% 6.18/4.35 (~((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1923, 1922])).
% 6.18/4.35 tff(1925,plain,
% 6.18/4.35 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1926,plain,
% 6.18/4.35 (v119(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1925, 727])).
% 6.18/4.35 tff(1927,plain,
% 6.18/4.35 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1928,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60')).
% 6.18/4.35 tff(1929,plain,
% 6.18/4.35 (nextState(constB60, constB61)),
% 6.18/4.35 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 6.18/4.35 tff(1930,plain,
% 6.18/4.35 (((~![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))))))),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1931,plain,
% 6.18/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1932,plain,
% 6.18/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB60, constB61)) | (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))),
% 6.18/4.35 inference(modus_ponens,[status(thm)],[1931, 1930])).
% 6.18/4.35 tff(1933,plain,
% 6.18/4.35 (v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61))))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1932, 1929, 433])).
% 6.18/4.35 tff(1934,plain,
% 6.18/4.35 (((~![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))))))),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1935,plain,
% 6.18/4.35 (((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61)))))) <=> ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))))),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1936,plain,
% 6.18/4.35 (((~![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)))))))),
% 6.18/4.35 inference(monotonicity,[status(thm)],[1935])).
% 6.18/4.35 tff(1937,plain,
% 6.18/4.35 (((~![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))))))),
% 6.18/4.35 inference(transitivity,[status(thm)],[1936, 1934])).
% 6.18/4.35 tff(1938,plain,
% 6.18/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v102(constB61)) | (~v1(constB61))))))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1939,plain,
% 6.18/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))),
% 6.18/4.35 inference(modus_ponens,[status(thm)],[1938, 1937])).
% 6.18/4.35 tff(1940,plain,
% 6.18/4.35 (v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61))))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1939, 1929, 453])).
% 6.18/4.35 tff(1941,plain,
% 6.18/4.35 ((~v1(constB61)) <=> (~v1(constB61))),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1942,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61')).
% 6.18/4.35 tff(1943,plain,
% 6.18/4.35 (~v1(constB61)),
% 6.18/4.35 inference(modus_ponens,[status(thm)],[1942, 1941])).
% 6.18/4.35 tff(1944,plain,
% 6.18/4.35 (((~v1(constB61)) | (~v102(constB61))) | v1(constB61)),
% 6.18/4.35 inference(tautology,[status(thm)],[])).
% 6.18/4.35 tff(1945,plain,
% 6.18/4.35 ((~v1(constB61)) | (~v102(constB61))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1944, 1943])).
% 6.18/4.35 tff(1946,plain,
% 6.18/4.35 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61)) | (~((~v1(constB61)) | (~v102(constB61))))),
% 6.18/4.35 inference(tautology,[status(thm)],[])).
% 6.18/4.35 tff(1947,plain,
% 6.18/4.35 ((~(v101(constB61) <=> (~((~v1(constB61)) | (~v102(constB61)))))) | (~v101(constB61))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1946, 1945])).
% 6.18/4.35 tff(1948,plain,
% 6.18/4.35 (~v101(constB61)),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1947, 1940])).
% 6.18/4.35 tff(1949,plain,
% 6.18/4.35 (((~v101(constB61)) | (~v110(constB61))) | v101(constB61)),
% 6.18/4.35 inference(tautology,[status(thm)],[])).
% 6.18/4.35 tff(1950,plain,
% 6.18/4.35 ((~v101(constB61)) | (~v110(constB61))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1949, 1948])).
% 6.18/4.35 tff(1951,plain,
% 6.18/4.35 ((~(v100(constB61) <=> (~((~v101(constB61)) | (~v110(constB61)))))) | (~v100(constB61)) | (~((~v101(constB61)) | (~v110(constB61))))),
% 6.18/4.35 inference(tautology,[status(thm)],[])).
% 6.18/4.35 tff(1952,plain,
% 6.18/4.35 (~v100(constB61)),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1951, 1950, 1933])).
% 6.18/4.35 tff(1953,plain,
% 6.18/4.35 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1954,plain,
% 6.18/4.35 ((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)))))),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1955,plain,
% 6.18/4.35 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.18/4.35 inference(monotonicity,[status(thm)],[1954])).
% 6.18/4.35 tff(1956,plain,
% 6.18/4.35 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.35 inference(transitivity,[status(thm)],[1955, 1953])).
% 6.18/4.35 tff(1957,plain,
% 6.18/4.35 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1958,plain,
% 6.18/4.35 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.18/4.35 inference(modus_ponens,[status(thm)],[1957, 1956])).
% 6.18/4.35 tff(1959,plain,
% 6.18/4.35 (v100(constB61) | (~(((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1958, 1929, 482])).
% 6.18/4.35 tff(1960,plain,
% 6.18/4.35 (~(((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1959, 1952])).
% 6.18/4.35 tff(1961,plain,
% 6.18/4.35 ((((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))) | (~((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)))),
% 6.18/4.35 inference(tautology,[status(thm)],[])).
% 6.18/4.35 tff(1962,plain,
% 6.18/4.35 (~((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1961, 1960])).
% 6.18/4.35 tff(1963,plain,
% 6.18/4.35 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1964,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59')).
% 6.18/4.35 tff(1965,plain,
% 6.18/4.35 (nextState(constB59, constB60)),
% 6.18/4.35 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 6.18/4.35 tff(1966,plain,
% 6.18/4.35 (((~![VarNext: $i, 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)))))),
% 6.18/4.35 inference(rewrite,[status(thm)],[])).
% 6.18/4.35 tff(1967,plain,
% 6.18/4.35 ((~![VarNext: $i, 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)))))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1968,plain,
% 6.18/4.35 ((~![VarNext: $i, 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))))),
% 6.18/4.35 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 6.18/4.35 tff(1969,plain,
% 6.18/4.35 (~(((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0)))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1968, 1965, 505])).
% 6.18/4.35 tff(1970,plain,
% 6.18/4.35 ((((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0))) | (~((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)))),
% 6.18/4.35 inference(tautology,[status(thm)],[])).
% 6.18/4.35 tff(1971,plain,
% 6.18/4.35 (~((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2))),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1970, 1969])).
% 6.18/4.35 tff(1972,plain,
% 6.18/4.35 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB59) <=> v26(constB59))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1973,plain,
% 6.18/4.35 (v111(constB59) <=> v26(constB59)),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1972, 524])).
% 6.18/4.35 tff(1974,plain,
% 6.18/4.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 6.18/4.35 inference(quant_inst,[status(thm)],[])).
% 6.18/4.35 tff(1975,plain,
% 6.18/4.35 (~v26(constB59)),
% 6.18/4.35 inference(unit_resolution,[status(thm)],[1974, 536])).
% 6.18/4.36 tff(1976,plain,
% 6.18/4.36 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59)) | v26(constB59)),
% 6.18/4.36 inference(tautology,[status(thm)],[])).
% 6.18/4.36 tff(1977,plain,
% 6.18/4.36 ((~(v111(constB59) <=> v26(constB59))) | (~v111(constB59))),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[1976, 1975])).
% 6.18/4.36 tff(1978,plain,
% 6.18/4.36 (~v111(constB59)),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[1977, 1973])).
% 6.18/4.36 tff(1979,plain,
% 6.18/4.36 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB59) | (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB59) | (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)))))),
% 6.18/4.36 inference(rewrite,[status(thm)],[])).
% 6.18/4.36 tff(1980,plain,
% 6.18/4.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB59) | (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)))))),
% 6.18/4.36 inference(quant_inst,[status(thm)],[])).
% 6.18/4.36 tff(1981,plain,
% 6.18/4.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB59) | (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1))))),
% 6.18/4.36 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 6.18/4.36 tff(1982,plain,
% 6.18/4.36 (v111(constB59) | (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1))))),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[1981, 554])).
% 6.18/4.36 tff(1983,plain,
% 6.18/4.36 (~(((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)))),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[1982, 1978])).
% 6.18/4.36 tff(1984,plain,
% 6.18/4.36 ((((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1))) | (~((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)))),
% 6.18/4.36 inference(tautology,[status(thm)],[])).
% 6.18/4.36 tff(1985,plain,
% 6.18/4.36 (~((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2))),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[1984, 1983])).
% 6.18/4.36 tff(1986,plain,
% 6.18/4.36 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0))))))),
% 6.18/4.36 inference(rewrite,[status(thm)],[])).
% 6.18/4.36 tff(1987,plain,
% 6.18/4.36 ((v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)) | (~v90(constB59, bitIndex2))))) <=> (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0)))))),
% 6.18/4.36 inference(rewrite,[status(thm)],[])).
% 6.18/4.36 tff(1988,plain,
% 6.18/4.36 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)) | (~v90(constB59, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0))))))),
% 6.18/4.36 inference(monotonicity,[status(thm)],[1987])).
% 6.18/4.36 tff(1989,plain,
% 6.18/4.36 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)) | (~v90(constB59, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0))))))),
% 6.18/4.36 inference(transitivity,[status(thm)],[1988, 1986])).
% 6.18/4.36 tff(1990,plain,
% 6.18/4.36 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex0)) | (~v90(constB59, bitIndex2)))))),
% 6.18/4.36 inference(quant_inst,[status(thm)],[])).
% 6.18/4.36 tff(1991,plain,
% 6.18/4.36 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0)))))),
% 6.18/4.36 inference(modus_ponens,[status(thm)],[1990, 1989])).
% 6.18/4.36 tff(1992,plain,
% 6.18/4.36 (v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0))))),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[1991, 801])).
% 6.18/4.36 tff(1993,plain,
% 6.18/4.36 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 6.18/4.36 inference(rewrite,[status(thm)],[])).
% 6.18/4.36 tff(1994,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58')).
% 6.18/4.36 tff(1995,plain,
% 6.18/4.36 (nextState(constB58, constB59)),
% 6.18/4.36 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 6.18/4.36 tff(1996,plain,
% 6.18/4.36 (((~![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))))))),
% 6.18/4.36 inference(rewrite,[status(thm)],[])).
% 6.18/4.36 tff(1997,plain,
% 6.18/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))))),
% 6.18/4.36 inference(quant_inst,[status(thm)],[])).
% 6.18/4.36 tff(1998,plain,
% 6.18/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB58, constB59)) | (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))),
% 6.18/4.36 inference(modus_ponens,[status(thm)],[1997, 1996])).
% 6.18/4.36 tff(1999,plain,
% 6.18/4.36 (v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59))))),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[1998, 1995, 433])).
% 6.18/4.36 tff(2000,plain,
% 6.18/4.36 (((~![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))))))),
% 6.18/4.36 inference(rewrite,[status(thm)],[])).
% 6.18/4.36 tff(2001,plain,
% 6.18/4.36 (((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59)))))) <=> ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))))),
% 6.18/4.36 inference(rewrite,[status(thm)],[])).
% 6.18/4.36 tff(2002,plain,
% 6.18/4.36 (((~![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)))))))),
% 6.18/4.36 inference(monotonicity,[status(thm)],[2001])).
% 6.18/4.36 tff(2003,plain,
% 6.18/4.36 (((~![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))))))),
% 6.18/4.36 inference(transitivity,[status(thm)],[2002, 2000])).
% 6.18/4.36 tff(2004,plain,
% 6.18/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v102(constB59)) | (~v1(constB59))))))),
% 6.18/4.36 inference(quant_inst,[status(thm)],[])).
% 6.18/4.36 tff(2005,plain,
% 6.18/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))),
% 6.18/4.36 inference(modus_ponens,[status(thm)],[2004, 2003])).
% 6.18/4.36 tff(2006,plain,
% 6.18/4.36 (v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59))))),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[2005, 1995, 453])).
% 6.18/4.36 tff(2007,plain,
% 6.18/4.36 ((~v1(constB59)) <=> (~v1(constB59))),
% 6.18/4.36 inference(rewrite,[status(thm)],[])).
% 6.18/4.36 tff(2008,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59')).
% 6.18/4.36 tff(2009,plain,
% 6.18/4.36 (~v1(constB59)),
% 6.18/4.36 inference(modus_ponens,[status(thm)],[2008, 2007])).
% 6.18/4.36 tff(2010,plain,
% 6.18/4.36 (((~v1(constB59)) | (~v102(constB59))) | v1(constB59)),
% 6.18/4.36 inference(tautology,[status(thm)],[])).
% 6.18/4.36 tff(2011,plain,
% 6.18/4.36 ((~v1(constB59)) | (~v102(constB59))),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[2010, 2009])).
% 6.18/4.36 tff(2012,plain,
% 6.18/4.36 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59)) | (~((~v1(constB59)) | (~v102(constB59))))),
% 6.18/4.36 inference(tautology,[status(thm)],[])).
% 6.18/4.36 tff(2013,plain,
% 6.18/4.36 ((~(v101(constB59) <=> (~((~v1(constB59)) | (~v102(constB59)))))) | (~v101(constB59))),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[2012, 2011])).
% 6.18/4.36 tff(2014,plain,
% 6.18/4.36 (~v101(constB59)),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[2013, 2006])).
% 6.18/4.36 tff(2015,plain,
% 6.18/4.36 (((~v101(constB59)) | (~v110(constB59))) | v101(constB59)),
% 6.18/4.36 inference(tautology,[status(thm)],[])).
% 6.18/4.36 tff(2016,plain,
% 6.18/4.36 ((~v101(constB59)) | (~v110(constB59))),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[2015, 2014])).
% 6.18/4.36 tff(2017,plain,
% 6.18/4.36 ((~(v100(constB59) <=> (~((~v101(constB59)) | (~v110(constB59)))))) | (~v100(constB59)) | (~((~v101(constB59)) | (~v110(constB59))))),
% 6.18/4.36 inference(tautology,[status(thm)],[])).
% 6.18/4.36 tff(2018,plain,
% 6.18/4.36 (~v100(constB59)),
% 6.18/4.36 inference(unit_resolution,[status(thm)],[2017, 2016, 1999])).
% 6.18/4.36 tff(2019,plain,
% 6.18/4.36 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.25/4.36 inference(rewrite,[status(thm)],[])).
% 6.25/4.36 tff(2020,plain,
% 6.25/4.36 ((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)))))),
% 6.25/4.36 inference(rewrite,[status(thm)],[])).
% 6.25/4.36 tff(2021,plain,
% 6.25/4.36 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.25/4.36 inference(monotonicity,[status(thm)],[2020])).
% 6.25/4.36 tff(2022,plain,
% 6.25/4.36 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.25/4.36 inference(transitivity,[status(thm)],[2021, 2019])).
% 6.25/4.36 tff(2023,plain,
% 6.25/4.36 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.25/4.36 inference(quant_inst,[status(thm)],[])).
% 6.25/4.36 tff(2024,plain,
% 6.25/4.36 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.25/4.36 inference(modus_ponens,[status(thm)],[2023, 2022])).
% 6.25/4.36 tff(2025,plain,
% 6.25/4.36 (v100(constB59) | (~(((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))))),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2024, 1995, 482])).
% 6.25/4.36 tff(2026,plain,
% 6.25/4.36 (~(((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)))),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2025, 2018])).
% 6.25/4.36 tff(2027,plain,
% 6.25/4.36 ((((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))) | (~((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)))),
% 6.25/4.36 inference(tautology,[status(thm)],[])).
% 6.25/4.36 tff(2028,plain,
% 6.25/4.36 (~((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2))),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2027, 2026])).
% 6.25/4.36 tff(2029,plain,
% 6.25/4.36 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 6.25/4.36 inference(rewrite,[status(thm)],[])).
% 6.25/4.36 tff(2030,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57')).
% 6.25/4.36 tff(2031,plain,
% 6.25/4.36 (nextState(constB57, constB58)),
% 6.25/4.36 inference(modus_ponens,[status(thm)],[2030, 2029])).
% 6.25/4.36 tff(2032,plain,
% 6.25/4.36 (((~![VarNext: $i, 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)))))),
% 6.25/4.36 inference(rewrite,[status(thm)],[])).
% 6.25/4.36 tff(2033,plain,
% 6.25/4.36 ((~![VarNext: $i, 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)))))),
% 6.25/4.36 inference(quant_inst,[status(thm)],[])).
% 6.25/4.36 tff(2034,plain,
% 6.25/4.36 ((~![VarNext: $i, 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))))),
% 6.25/4.36 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 6.25/4.36 tff(2035,plain,
% 6.25/4.36 (~(((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0)))),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2034, 2031, 505])).
% 6.25/4.36 tff(2036,plain,
% 6.25/4.36 ((((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0))) | (~((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)))),
% 6.25/4.36 inference(tautology,[status(thm)],[])).
% 6.25/4.36 tff(2037,plain,
% 6.25/4.36 (~((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2))),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2036, 2035])).
% 6.25/4.36 tff(2038,plain,
% 6.25/4.36 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB57) <=> v26(constB57))),
% 6.25/4.36 inference(quant_inst,[status(thm)],[])).
% 6.25/4.36 tff(2039,plain,
% 6.25/4.36 (v111(constB57) <=> v26(constB57)),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2038, 524])).
% 6.25/4.36 tff(2040,plain,
% 6.25/4.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 6.25/4.36 inference(quant_inst,[status(thm)],[])).
% 6.25/4.36 tff(2041,plain,
% 6.25/4.36 (~v26(constB57)),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2040, 536])).
% 6.25/4.36 tff(2042,plain,
% 6.25/4.36 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57)) | v26(constB57)),
% 6.25/4.36 inference(tautology,[status(thm)],[])).
% 6.25/4.36 tff(2043,plain,
% 6.25/4.36 ((~(v111(constB57) <=> v26(constB57))) | (~v111(constB57))),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2042, 2041])).
% 6.25/4.36 tff(2044,plain,
% 6.25/4.36 (~v111(constB57)),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2043, 2039])).
% 6.25/4.36 tff(2045,plain,
% 6.25/4.36 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB57) | (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB57) | (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)))))),
% 6.25/4.36 inference(rewrite,[status(thm)],[])).
% 6.25/4.36 tff(2046,plain,
% 6.25/4.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB57) | (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)))))),
% 6.25/4.36 inference(quant_inst,[status(thm)],[])).
% 6.25/4.36 tff(2047,plain,
% 6.25/4.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB57) | (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1))))),
% 6.25/4.36 inference(modus_ponens,[status(thm)],[2046, 2045])).
% 6.25/4.36 tff(2048,plain,
% 6.25/4.36 (v111(constB57) | (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1))))),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2047, 554])).
% 6.25/4.36 tff(2049,plain,
% 6.25/4.36 (~(((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)))),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2048, 2044])).
% 6.25/4.36 tff(2050,plain,
% 6.25/4.36 ((((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1))) | (~((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)))),
% 6.25/4.36 inference(tautology,[status(thm)],[])).
% 6.25/4.36 tff(2051,plain,
% 6.25/4.36 (~((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2))),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2050, 2049])).
% 6.25/4.36 tff(2052,plain,
% 6.25/4.36 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2))))))),
% 6.25/4.36 inference(rewrite,[status(thm)],[])).
% 6.25/4.36 tff(2053,plain,
% 6.25/4.36 ((v123(constB57) <=> (~(v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2))))) <=> (v123(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2)))))),
% 6.25/4.36 inference(rewrite,[status(thm)],[])).
% 6.25/4.36 tff(2054,plain,
% 6.25/4.36 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2))))))),
% 6.25/4.36 inference(monotonicity,[status(thm)],[2053])).
% 6.25/4.36 tff(2055,plain,
% 6.25/4.36 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2))))))),
% 6.25/4.36 inference(transitivity,[status(thm)],[2054, 2052])).
% 6.25/4.36 tff(2056,plain,
% 6.25/4.36 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex0) | v90(constB57, bitIndex1) | (~v90(constB57, bitIndex2)))))),
% 6.25/4.36 inference(quant_inst,[status(thm)],[])).
% 6.25/4.36 tff(2057,plain,
% 6.25/4.36 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2)))))),
% 6.25/4.36 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 6.25/4.36 tff(2058,plain,
% 6.25/4.36 (v123(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2))))),
% 6.25/4.36 inference(unit_resolution,[status(thm)],[2057, 880])).
% 6.25/4.36 tff(2059,plain,
% 6.25/4.36 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 6.25/4.36 inference(rewrite,[status(thm)],[])).
% 6.25/4.36 tff(2060,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56')).
% 6.25/4.36 tff(2061,plain,
% 6.25/4.36 (nextState(constB56, constB57)),
% 6.25/4.36 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 6.25/4.36 tff(2062,plain,
% 6.25/4.36 (((~![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))))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2063,plain,
% 6.25/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))))),
% 6.25/4.37 inference(quant_inst,[status(thm)],[])).
% 6.25/4.37 tff(2064,plain,
% 6.25/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB56, constB57)) | (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2063, 2062])).
% 6.25/4.37 tff(2065,plain,
% 6.25/4.37 (v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57))))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2064, 2061, 433])).
% 6.25/4.37 tff(2066,plain,
% 6.25/4.37 (((~![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))))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2067,plain,
% 6.25/4.37 (((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57)))))) <=> ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2068,plain,
% 6.25/4.37 (((~![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)))))))),
% 6.25/4.37 inference(monotonicity,[status(thm)],[2067])).
% 6.25/4.37 tff(2069,plain,
% 6.25/4.37 (((~![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))))))),
% 6.25/4.37 inference(transitivity,[status(thm)],[2068, 2066])).
% 6.25/4.37 tff(2070,plain,
% 6.25/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v102(constB57)) | (~v1(constB57))))))),
% 6.25/4.37 inference(quant_inst,[status(thm)],[])).
% 6.25/4.37 tff(2071,plain,
% 6.25/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2070, 2069])).
% 6.25/4.37 tff(2072,plain,
% 6.25/4.37 (v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57))))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2071, 2061, 453])).
% 6.25/4.37 tff(2073,plain,
% 6.25/4.37 ((~v1(constB57)) <=> (~v1(constB57))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2074,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57')).
% 6.25/4.37 tff(2075,plain,
% 6.25/4.37 (~v1(constB57)),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2074, 2073])).
% 6.25/4.37 tff(2076,plain,
% 6.25/4.37 (((~v1(constB57)) | (~v102(constB57))) | v1(constB57)),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2077,plain,
% 6.25/4.37 ((~v1(constB57)) | (~v102(constB57))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2076, 2075])).
% 6.25/4.37 tff(2078,plain,
% 6.25/4.37 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57)) | (~((~v1(constB57)) | (~v102(constB57))))),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2079,plain,
% 6.25/4.37 ((~(v101(constB57) <=> (~((~v1(constB57)) | (~v102(constB57)))))) | (~v101(constB57))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2078, 2077])).
% 6.25/4.37 tff(2080,plain,
% 6.25/4.37 (~v101(constB57)),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2079, 2072])).
% 6.25/4.37 tff(2081,plain,
% 6.25/4.37 (((~v101(constB57)) | (~v110(constB57))) | v101(constB57)),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2082,plain,
% 6.25/4.37 ((~v101(constB57)) | (~v110(constB57))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2081, 2080])).
% 6.25/4.37 tff(2083,plain,
% 6.25/4.37 ((~(v100(constB57) <=> (~((~v101(constB57)) | (~v110(constB57)))))) | (~v100(constB57)) | (~((~v101(constB57)) | (~v110(constB57))))),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2084,plain,
% 6.25/4.37 (~v100(constB57)),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2083, 2082, 2065])).
% 6.25/4.37 tff(2085,plain,
% 6.25/4.37 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2086,plain,
% 6.25/4.37 ((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)))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2087,plain,
% 6.25/4.37 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.25/4.37 inference(monotonicity,[status(thm)],[2086])).
% 6.25/4.37 tff(2088,plain,
% 6.25/4.37 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.25/4.37 inference(transitivity,[status(thm)],[2087, 2085])).
% 6.25/4.37 tff(2089,plain,
% 6.25/4.37 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.25/4.37 inference(quant_inst,[status(thm)],[])).
% 6.25/4.37 tff(2090,plain,
% 6.25/4.37 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2089, 2088])).
% 6.25/4.37 tff(2091,plain,
% 6.25/4.37 (v100(constB57) | (~(((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2090, 2061, 482])).
% 6.25/4.37 tff(2092,plain,
% 6.25/4.37 (~(((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2091, 2084])).
% 6.25/4.37 tff(2093,plain,
% 6.25/4.37 ((((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))) | (~((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)))),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2094,plain,
% 6.25/4.37 (~((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2093, 2092])).
% 6.25/4.37 tff(2095,plain,
% 6.25/4.37 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2096,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55')).
% 6.25/4.37 tff(2097,plain,
% 6.25/4.37 (nextState(constB55, constB56)),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 6.25/4.37 tff(2098,plain,
% 6.25/4.37 (((~![VarNext: $i, 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)))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2099,plain,
% 6.25/4.37 ((~![VarNext: $i, 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)))))),
% 6.25/4.37 inference(quant_inst,[status(thm)],[])).
% 6.25/4.37 tff(2100,plain,
% 6.25/4.37 ((~![VarNext: $i, 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))))),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 6.25/4.37 tff(2101,plain,
% 6.25/4.37 (~(((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0)))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2100, 2097, 505])).
% 6.25/4.37 tff(2102,plain,
% 6.25/4.37 ((((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0))) | (~((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)))),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2103,plain,
% 6.25/4.37 (~((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2102, 2101])).
% 6.25/4.37 tff(2104,plain,
% 6.25/4.37 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB55) <=> v26(constB55))),
% 6.25/4.37 inference(quant_inst,[status(thm)],[])).
% 6.25/4.37 tff(2105,plain,
% 6.25/4.37 (v111(constB55) <=> v26(constB55)),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2104, 524])).
% 6.25/4.37 tff(2106,plain,
% 6.25/4.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 6.25/4.37 inference(quant_inst,[status(thm)],[])).
% 6.25/4.37 tff(2107,plain,
% 6.25/4.37 (~v26(constB55)),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2106, 536])).
% 6.25/4.37 tff(2108,plain,
% 6.25/4.37 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55)) | v26(constB55)),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2109,plain,
% 6.25/4.37 ((~(v111(constB55) <=> v26(constB55))) | (~v111(constB55))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2108, 2107])).
% 6.25/4.37 tff(2110,plain,
% 6.25/4.37 (~v111(constB55)),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2109, 2105])).
% 6.25/4.37 tff(2111,plain,
% 6.25/4.37 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB55) | (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB55) | (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2112,plain,
% 6.25/4.37 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB55) | (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)))))),
% 6.25/4.37 inference(quant_inst,[status(thm)],[])).
% 6.25/4.37 tff(2113,plain,
% 6.25/4.37 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB55) | (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1))))),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 6.25/4.37 tff(2114,plain,
% 6.25/4.37 (v111(constB55) | (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1))))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2113, 554])).
% 6.25/4.37 tff(2115,plain,
% 6.25/4.37 (~(((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2114, 2110])).
% 6.25/4.37 tff(2116,plain,
% 6.25/4.37 ((((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1))) | (~((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)))),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2117,plain,
% 6.25/4.37 (~((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2116, 2115])).
% 6.25/4.37 tff(2118,plain,
% 6.25/4.37 (((~![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))))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2119,plain,
% 6.25/4.37 ((v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1))))) <=> (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2120,plain,
% 6.25/4.37 (((~![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))))))),
% 6.25/4.37 inference(monotonicity,[status(thm)],[2119])).
% 6.25/4.37 tff(2121,plain,
% 6.25/4.37 (((~![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))))))),
% 6.25/4.37 inference(transitivity,[status(thm)],[2120, 2118])).
% 6.25/4.37 tff(2122,plain,
% 6.25/4.37 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex0)) | (~v90(constB55, bitIndex1)))))),
% 6.25/4.37 inference(quant_inst,[status(thm)],[])).
% 6.25/4.37 tff(2123,plain,
% 6.25/4.37 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2122, 2121])).
% 6.25/4.37 tff(2124,plain,
% 6.25/4.37 (v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2123, 959])).
% 6.25/4.37 tff(2125,plain,
% 6.25/4.37 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2126,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54')).
% 6.25/4.37 tff(2127,plain,
% 6.25/4.37 (nextState(constB54, constB55)),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2126, 2125])).
% 6.25/4.37 tff(2128,plain,
% 6.25/4.37 (((~![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))))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2129,plain,
% 6.25/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))))),
% 6.25/4.37 inference(quant_inst,[status(thm)],[])).
% 6.25/4.37 tff(2130,plain,
% 6.25/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB54, constB55)) | (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2129, 2128])).
% 6.25/4.37 tff(2131,plain,
% 6.25/4.37 (v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55))))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2130, 2127, 433])).
% 6.25/4.37 tff(2132,plain,
% 6.25/4.37 (((~![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))))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2133,plain,
% 6.25/4.37 (((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55)))))) <=> ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2134,plain,
% 6.25/4.37 (((~![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)))))))),
% 6.25/4.37 inference(monotonicity,[status(thm)],[2133])).
% 6.25/4.37 tff(2135,plain,
% 6.25/4.37 (((~![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))))))),
% 6.25/4.37 inference(transitivity,[status(thm)],[2134, 2132])).
% 6.25/4.37 tff(2136,plain,
% 6.25/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v102(constB55)) | (~v1(constB55))))))),
% 6.25/4.37 inference(quant_inst,[status(thm)],[])).
% 6.25/4.37 tff(2137,plain,
% 6.25/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 6.25/4.37 tff(2138,plain,
% 6.25/4.37 (v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55))))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2137, 2127, 453])).
% 6.25/4.37 tff(2139,plain,
% 6.25/4.37 ((~v1(constB55)) <=> (~v1(constB55))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2140,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55')).
% 6.25/4.37 tff(2141,plain,
% 6.25/4.37 (~v1(constB55)),
% 6.25/4.37 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 6.25/4.37 tff(2142,plain,
% 6.25/4.37 (((~v1(constB55)) | (~v102(constB55))) | v1(constB55)),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2143,plain,
% 6.25/4.37 ((~v1(constB55)) | (~v102(constB55))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2142, 2141])).
% 6.25/4.37 tff(2144,plain,
% 6.25/4.37 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55)) | (~((~v1(constB55)) | (~v102(constB55))))),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2145,plain,
% 6.25/4.37 ((~(v101(constB55) <=> (~((~v1(constB55)) | (~v102(constB55)))))) | (~v101(constB55))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2144, 2143])).
% 6.25/4.37 tff(2146,plain,
% 6.25/4.37 (~v101(constB55)),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2145, 2138])).
% 6.25/4.37 tff(2147,plain,
% 6.25/4.37 (((~v101(constB55)) | (~v110(constB55))) | v101(constB55)),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2148,plain,
% 6.25/4.37 ((~v101(constB55)) | (~v110(constB55))),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2147, 2146])).
% 6.25/4.37 tff(2149,plain,
% 6.25/4.37 ((~(v100(constB55) <=> (~((~v101(constB55)) | (~v110(constB55)))))) | (~v100(constB55)) | (~((~v101(constB55)) | (~v110(constB55))))),
% 6.25/4.37 inference(tautology,[status(thm)],[])).
% 6.25/4.37 tff(2150,plain,
% 6.25/4.37 (~v100(constB55)),
% 6.25/4.37 inference(unit_resolution,[status(thm)],[2149, 2148, 2131])).
% 6.25/4.37 tff(2151,plain,
% 6.25/4.37 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2152,plain,
% 6.25/4.37 ((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)))))),
% 6.25/4.37 inference(rewrite,[status(thm)],[])).
% 6.25/4.37 tff(2153,plain,
% 6.25/4.37 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.25/4.38 inference(monotonicity,[status(thm)],[2152])).
% 6.25/4.38 tff(2154,plain,
% 6.25/4.38 (((~![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(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)))))),
% 6.25/4.38 inference(transitivity,[status(thm)],[2153, 2151])).
% 6.25/4.38 tff(2155,plain,
% 6.25/4.38 ((~![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(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))))),
% 6.25/4.38 inference(quant_inst,[status(thm)],[])).
% 6.25/4.38 tff(2156,plain,
% 6.25/4.38 ((~![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(constB55) | (~nextState(constB54, constB55)) | (~(((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))))),
% 6.25/4.38 inference(modus_ponens,[status(thm)],[2155, 2154])).
% 6.25/4.38 tff(2157,plain,
% 6.25/4.38 (v100(constB55) | (~(((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))))),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2156, 2127, 482])).
% 6.25/4.38 tff(2158,plain,
% 6.25/4.38 (~(((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2157, 2150])).
% 6.25/4.38 tff(2159,plain,
% 6.25/4.38 ((((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))) | (~((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)))),
% 6.25/4.38 inference(tautology,[status(thm)],[])).
% 6.25/4.38 tff(2160,plain,
% 6.25/4.38 (~((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2))),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2159, 2158])).
% 6.25/4.38 tff(2161,plain,
% 6.25/4.38 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 6.25/4.38 inference(rewrite,[status(thm)],[])).
% 6.25/4.38 tff(2162,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53')).
% 6.25/4.38 tff(2163,plain,
% 6.25/4.38 (nextState(constB53, constB54)),
% 6.25/4.38 inference(modus_ponens,[status(thm)],[2162, 2161])).
% 6.25/4.38 tff(2164,plain,
% 6.25/4.38 (((~![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(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)))))),
% 6.25/4.38 inference(rewrite,[status(thm)],[])).
% 6.25/4.38 tff(2165,plain,
% 6.25/4.38 ((~![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(constB53, constB54)) | (~(((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0)))))),
% 6.25/4.38 inference(quant_inst,[status(thm)],[])).
% 6.25/4.38 tff(2166,plain,
% 6.25/4.38 ((~![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(constB53, constB54)) | (~(((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0))))),
% 6.25/4.38 inference(modus_ponens,[status(thm)],[2165, 2164])).
% 6.25/4.38 tff(2167,plain,
% 6.25/4.38 (~(((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0)))),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2166, 2163, 505])).
% 6.25/4.38 tff(2168,plain,
% 6.25/4.38 ((((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0))) | (~((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)))),
% 6.25/4.38 inference(tautology,[status(thm)],[])).
% 6.25/4.38 tff(2169,plain,
% 6.25/4.38 (~((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2))),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2168, 2167])).
% 6.25/4.38 tff(2170,plain,
% 6.25/4.38 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB53) <=> v26(constB53))),
% 6.25/4.38 inference(quant_inst,[status(thm)],[])).
% 6.25/4.38 tff(2171,plain,
% 6.25/4.38 (v111(constB53) <=> v26(constB53)),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2170, 524])).
% 6.25/4.38 tff(2172,plain,
% 6.25/4.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 6.25/4.38 inference(quant_inst,[status(thm)],[])).
% 6.25/4.38 tff(2173,plain,
% 6.25/4.38 (~v26(constB53)),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2172, 536])).
% 6.25/4.38 tff(2174,plain,
% 6.25/4.38 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53)) | v26(constB53)),
% 6.25/4.38 inference(tautology,[status(thm)],[])).
% 6.25/4.38 tff(2175,plain,
% 6.25/4.38 ((~(v111(constB53) <=> v26(constB53))) | (~v111(constB53))),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2174, 2173])).
% 6.25/4.38 tff(2176,plain,
% 6.25/4.38 (~v111(constB53)),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2175, 2171])).
% 6.25/4.38 tff(2177,plain,
% 6.25/4.38 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB53) | (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB53) | (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)))))),
% 6.25/4.38 inference(rewrite,[status(thm)],[])).
% 6.25/4.38 tff(2178,plain,
% 6.25/4.38 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB53) | (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)))))),
% 6.25/4.38 inference(quant_inst,[status(thm)],[])).
% 6.25/4.38 tff(2179,plain,
% 6.25/4.38 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB53) | (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1))))),
% 6.25/4.38 inference(modus_ponens,[status(thm)],[2178, 2177])).
% 6.25/4.38 tff(2180,plain,
% 6.25/4.38 (v111(constB53) | (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1))))),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2179, 554])).
% 6.25/4.38 tff(2181,plain,
% 6.25/4.38 (~(((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)))),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2180, 2176])).
% 6.25/4.38 tff(2182,plain,
% 6.25/4.38 ((((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1))) | (~((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)))),
% 6.25/4.38 inference(tautology,[status(thm)],[])).
% 6.25/4.38 tff(2183,plain,
% 6.25/4.38 (~((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2))),
% 6.25/4.38 inference(unit_resolution,[status(thm)],[2182, 2181])).
% 6.25/4.38 tff(2184,plain,
% 6.25/4.38 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1))))))),
% 6.25/4.38 inference(rewrite,[status(thm)],[])).
% 6.25/4.38 tff(2185,plain,
% 6.25/4.38 ((v121(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1))))) <=> (v121(constB53) <=> (~(v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)))))),
% 6.25/4.38 inference(rewrite,[status(thm)],[])).
% 6.25/4.38 tff(2186,plain,
% 6.25/4.38 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1))))))),
% 6.27/4.38 inference(monotonicity,[status(thm)],[2185])).
% 6.27/4.38 tff(2187,plain,
% 6.27/4.38 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1))))))),
% 6.27/4.38 inference(transitivity,[status(thm)],[2186, 2184])).
% 6.27/4.38 tff(2188,plain,
% 6.27/4.38 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex0) | v90(constB53, bitIndex2) | (~v90(constB53, bitIndex1)))))),
% 6.27/4.38 inference(quant_inst,[status(thm)],[])).
% 6.27/4.38 tff(2189,plain,
% 6.27/4.38 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB53) <=> (~(v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)))))),
% 6.27/4.38 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 6.27/4.38 tff(2190,plain,
% 6.27/4.38 (v121(constB53) <=> (~(v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1))))),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2189, 574])).
% 6.27/4.38 tff(2191,plain,
% 6.27/4.38 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 6.27/4.38 inference(rewrite,[status(thm)],[])).
% 6.27/4.38 tff(2192,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52')).
% 6.27/4.38 tff(2193,plain,
% 6.27/4.38 (nextState(constB52, constB53)),
% 6.27/4.38 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 6.27/4.38 tff(2194,plain,
% 6.27/4.38 (((~![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))))))),
% 6.27/4.38 inference(rewrite,[status(thm)],[])).
% 6.27/4.38 tff(2195,plain,
% 6.27/4.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))))),
% 6.27/4.38 inference(quant_inst,[status(thm)],[])).
% 6.27/4.38 tff(2196,plain,
% 6.27/4.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB52, constB53)) | (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))),
% 6.27/4.38 inference(modus_ponens,[status(thm)],[2195, 2194])).
% 6.27/4.38 tff(2197,plain,
% 6.27/4.38 (v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53))))),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2196, 2193, 433])).
% 6.27/4.38 tff(2198,plain,
% 6.27/4.38 (((~![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))))))),
% 6.27/4.38 inference(rewrite,[status(thm)],[])).
% 6.27/4.38 tff(2199,plain,
% 6.27/4.38 (((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53)))))) <=> ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))))),
% 6.27/4.38 inference(rewrite,[status(thm)],[])).
% 6.27/4.38 tff(2200,plain,
% 6.27/4.38 (((~![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)))))))),
% 6.27/4.38 inference(monotonicity,[status(thm)],[2199])).
% 6.27/4.38 tff(2201,plain,
% 6.27/4.38 (((~![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))))))),
% 6.27/4.38 inference(transitivity,[status(thm)],[2200, 2198])).
% 6.27/4.38 tff(2202,plain,
% 6.27/4.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v102(constB53)) | (~v1(constB53))))))),
% 6.27/4.38 inference(quant_inst,[status(thm)],[])).
% 6.27/4.38 tff(2203,plain,
% 6.27/4.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))),
% 6.27/4.38 inference(modus_ponens,[status(thm)],[2202, 2201])).
% 6.27/4.38 tff(2204,plain,
% 6.27/4.38 (v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53))))),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2203, 2193, 453])).
% 6.27/4.38 tff(2205,plain,
% 6.27/4.38 ((~v1(constB53)) <=> (~v1(constB53))),
% 6.27/4.38 inference(rewrite,[status(thm)],[])).
% 6.27/4.38 tff(2206,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53')).
% 6.27/4.38 tff(2207,plain,
% 6.27/4.38 (~v1(constB53)),
% 6.27/4.38 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 6.27/4.38 tff(2208,plain,
% 6.27/4.38 (((~v1(constB53)) | (~v102(constB53))) | v1(constB53)),
% 6.27/4.38 inference(tautology,[status(thm)],[])).
% 6.27/4.38 tff(2209,plain,
% 6.27/4.38 ((~v1(constB53)) | (~v102(constB53))),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2208, 2207])).
% 6.27/4.38 tff(2210,plain,
% 6.27/4.38 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53)) | (~((~v1(constB53)) | (~v102(constB53))))),
% 6.27/4.38 inference(tautology,[status(thm)],[])).
% 6.27/4.38 tff(2211,plain,
% 6.27/4.38 ((~(v101(constB53) <=> (~((~v1(constB53)) | (~v102(constB53)))))) | (~v101(constB53))),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2210, 2209])).
% 6.27/4.38 tff(2212,plain,
% 6.27/4.38 (~v101(constB53)),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2211, 2204])).
% 6.27/4.38 tff(2213,plain,
% 6.27/4.38 (((~v101(constB53)) | (~v110(constB53))) | v101(constB53)),
% 6.27/4.38 inference(tautology,[status(thm)],[])).
% 6.27/4.38 tff(2214,plain,
% 6.27/4.38 ((~v101(constB53)) | (~v110(constB53))),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2213, 2212])).
% 6.27/4.38 tff(2215,plain,
% 6.27/4.38 ((~(v100(constB53) <=> (~((~v101(constB53)) | (~v110(constB53)))))) | (~v100(constB53)) | (~((~v101(constB53)) | (~v110(constB53))))),
% 6.27/4.38 inference(tautology,[status(thm)],[])).
% 6.27/4.38 tff(2216,plain,
% 6.27/4.38 (~v100(constB53)),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2215, 2214, 2197])).
% 6.27/4.38 tff(2217,plain,
% 6.27/4.38 (((~![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(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)))))),
% 6.27/4.38 inference(rewrite,[status(thm)],[])).
% 6.27/4.38 tff(2218,plain,
% 6.27/4.38 ((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)))))),
% 6.27/4.38 inference(rewrite,[status(thm)],[])).
% 6.27/4.38 tff(2219,plain,
% 6.27/4.38 (((~![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(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))))))),
% 6.27/4.38 inference(monotonicity,[status(thm)],[2218])).
% 6.27/4.38 tff(2220,plain,
% 6.27/4.38 (((~![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(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)))))),
% 6.27/4.38 inference(transitivity,[status(thm)],[2219, 2217])).
% 6.27/4.38 tff(2221,plain,
% 6.27/4.38 ((~![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(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))))),
% 6.27/4.38 inference(quant_inst,[status(thm)],[])).
% 6.27/4.38 tff(2222,plain,
% 6.27/4.38 ((~![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(constB53) | (~nextState(constB52, constB53)) | (~(((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))))),
% 6.27/4.38 inference(modus_ponens,[status(thm)],[2221, 2220])).
% 6.27/4.38 tff(2223,plain,
% 6.27/4.38 (v100(constB53) | (~(((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))))),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2222, 2193, 482])).
% 6.27/4.38 tff(2224,plain,
% 6.27/4.38 (~(((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2223, 2216])).
% 6.27/4.38 tff(2225,plain,
% 6.27/4.38 ((((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))) | (~((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)))),
% 6.27/4.38 inference(tautology,[status(thm)],[])).
% 6.27/4.38 tff(2226,plain,
% 6.27/4.38 (~((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2))),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2225, 2224])).
% 6.27/4.38 tff(2227,plain,
% 6.27/4.38 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 6.27/4.38 inference(rewrite,[status(thm)],[])).
% 6.27/4.38 tff(2228,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51')).
% 6.27/4.38 tff(2229,plain,
% 6.27/4.38 (nextState(constB51, constB52)),
% 6.27/4.38 inference(modus_ponens,[status(thm)],[2228, 2227])).
% 6.27/4.38 tff(2230,plain,
% 6.27/4.38 (((~![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(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)))))),
% 6.27/4.38 inference(rewrite,[status(thm)],[])).
% 6.27/4.38 tff(2231,plain,
% 6.27/4.38 ((~![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(constB51, constB52)) | (~(((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0)))))),
% 6.27/4.38 inference(quant_inst,[status(thm)],[])).
% 6.27/4.38 tff(2232,plain,
% 6.27/4.38 ((~![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(constB51, constB52)) | (~(((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0))))),
% 6.27/4.38 inference(modus_ponens,[status(thm)],[2231, 2230])).
% 6.27/4.38 tff(2233,plain,
% 6.27/4.38 (~(((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0)))),
% 6.27/4.38 inference(unit_resolution,[status(thm)],[2232, 2229, 505])).
% 6.27/4.38 tff(2234,plain,
% 6.27/4.38 ((((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0))) | (~((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)))),
% 6.27/4.39 inference(tautology,[status(thm)],[])).
% 6.27/4.39 tff(2235,plain,
% 6.27/4.39 (~((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2234, 2233])).
% 6.27/4.39 tff(2236,plain,
% 6.27/4.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB51) <=> v26(constB51))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2237,plain,
% 6.27/4.39 (v111(constB51) <=> v26(constB51)),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2236, 524])).
% 6.27/4.39 tff(2238,plain,
% 6.27/4.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2239,plain,
% 6.27/4.39 (~v26(constB51)),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2238, 536])).
% 6.27/4.39 tff(2240,plain,
% 6.27/4.39 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51)) | v26(constB51)),
% 6.27/4.39 inference(tautology,[status(thm)],[])).
% 6.27/4.39 tff(2241,plain,
% 6.27/4.39 ((~(v111(constB51) <=> v26(constB51))) | (~v111(constB51))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2240, 2239])).
% 6.27/4.39 tff(2242,plain,
% 6.27/4.39 (~v111(constB51)),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2241, 2237])).
% 6.27/4.39 tff(2243,plain,
% 6.27/4.39 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB51) | (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB51) | (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)))))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2244,plain,
% 6.27/4.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB51) | (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)))))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2245,plain,
% 6.27/4.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB51) | (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1))))),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2244, 2243])).
% 6.27/4.39 tff(2246,plain,
% 6.27/4.39 (v111(constB51) | (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1))))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2245, 554])).
% 6.27/4.39 tff(2247,plain,
% 6.27/4.39 (~(((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2246, 2242])).
% 6.27/4.39 tff(2248,plain,
% 6.27/4.39 ((((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1))) | (~((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)))),
% 6.27/4.39 inference(tautology,[status(thm)],[])).
% 6.27/4.39 tff(2249,plain,
% 6.27/4.39 (~((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2248, 2247])).
% 6.27/4.39 tff(2250,plain,
% 6.27/4.39 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB51) <=> (~(v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)))))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2251,plain,
% 6.27/4.39 (v120(constB51) <=> (~(v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0))))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2250, 653])).
% 6.27/4.39 tff(2252,plain,
% 6.27/4.39 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2253,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50')).
% 6.27/4.39 tff(2254,plain,
% 6.27/4.39 (nextState(constB50, constB51)),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2253, 2252])).
% 6.27/4.39 tff(2255,plain,
% 6.27/4.39 (((~![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))))))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2256,plain,
% 6.27/4.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2257,plain,
% 6.27/4.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB50, constB51)) | (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2256, 2255])).
% 6.27/4.39 tff(2258,plain,
% 6.27/4.39 (v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51))))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2257, 2254, 433])).
% 6.27/4.39 tff(2259,plain,
% 6.27/4.39 (((~![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))))))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2260,plain,
% 6.27/4.39 (((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51)))))) <=> ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2261,plain,
% 6.27/4.39 (((~![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)))))))),
% 6.27/4.39 inference(monotonicity,[status(thm)],[2260])).
% 6.27/4.39 tff(2262,plain,
% 6.27/4.39 (((~![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))))))),
% 6.27/4.39 inference(transitivity,[status(thm)],[2261, 2259])).
% 6.27/4.39 tff(2263,plain,
% 6.27/4.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v102(constB51)) | (~v1(constB51))))))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2264,plain,
% 6.27/4.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2263, 2262])).
% 6.27/4.39 tff(2265,plain,
% 6.27/4.39 (v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51))))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2264, 2254, 453])).
% 6.27/4.39 tff(2266,plain,
% 6.27/4.39 ((~v1(constB51)) <=> (~v1(constB51))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2267,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51')).
% 6.27/4.39 tff(2268,plain,
% 6.27/4.39 (~v1(constB51)),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2267, 2266])).
% 6.27/4.39 tff(2269,plain,
% 6.27/4.39 (((~v1(constB51)) | (~v102(constB51))) | v1(constB51)),
% 6.27/4.39 inference(tautology,[status(thm)],[])).
% 6.27/4.39 tff(2270,plain,
% 6.27/4.39 ((~v1(constB51)) | (~v102(constB51))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2269, 2268])).
% 6.27/4.39 tff(2271,plain,
% 6.27/4.39 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51)) | (~((~v1(constB51)) | (~v102(constB51))))),
% 6.27/4.39 inference(tautology,[status(thm)],[])).
% 6.27/4.39 tff(2272,plain,
% 6.27/4.39 ((~(v101(constB51) <=> (~((~v1(constB51)) | (~v102(constB51)))))) | (~v101(constB51))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2271, 2270])).
% 6.27/4.39 tff(2273,plain,
% 6.27/4.39 (~v101(constB51)),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2272, 2265])).
% 6.27/4.39 tff(2274,plain,
% 6.27/4.39 (((~v101(constB51)) | (~v110(constB51))) | v101(constB51)),
% 6.27/4.39 inference(tautology,[status(thm)],[])).
% 6.27/4.39 tff(2275,plain,
% 6.27/4.39 ((~v101(constB51)) | (~v110(constB51))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2274, 2273])).
% 6.27/4.39 tff(2276,plain,
% 6.27/4.39 ((~(v100(constB51) <=> (~((~v101(constB51)) | (~v110(constB51)))))) | (~v100(constB51)) | (~((~v101(constB51)) | (~v110(constB51))))),
% 6.27/4.39 inference(tautology,[status(thm)],[])).
% 6.27/4.39 tff(2277,plain,
% 6.27/4.39 (~v100(constB51)),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2276, 2275, 2258])).
% 6.27/4.39 tff(2278,plain,
% 6.27/4.39 (((~![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(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)))))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2279,plain,
% 6.27/4.39 ((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)))))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2280,plain,
% 6.27/4.39 (((~![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(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))))))),
% 6.27/4.39 inference(monotonicity,[status(thm)],[2279])).
% 6.27/4.39 tff(2281,plain,
% 6.27/4.39 (((~![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(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)))))),
% 6.27/4.39 inference(transitivity,[status(thm)],[2280, 2278])).
% 6.27/4.39 tff(2282,plain,
% 6.27/4.39 ((~![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(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2283,plain,
% 6.27/4.39 ((~![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(constB51) | (~nextState(constB50, constB51)) | (~(((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))))),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2282, 2281])).
% 6.27/4.39 tff(2284,plain,
% 6.27/4.39 (v100(constB51) | (~(((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2283, 2254, 482])).
% 6.27/4.39 tff(2285,plain,
% 6.27/4.39 (~(((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2284, 2277])).
% 6.27/4.39 tff(2286,plain,
% 6.27/4.39 ((((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))) | (~((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)))),
% 6.27/4.39 inference(tautology,[status(thm)],[])).
% 6.27/4.39 tff(2287,plain,
% 6.27/4.39 (~((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2286, 2285])).
% 6.27/4.39 tff(2288,plain,
% 6.27/4.39 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2289,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49')).
% 6.27/4.39 tff(2290,plain,
% 6.27/4.39 (nextState(constB49, constB50)),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 6.27/4.39 tff(2291,plain,
% 6.27/4.39 (((~![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(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)))))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2292,plain,
% 6.27/4.39 ((~![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(constB49, constB50)) | (~(((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0)))))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2293,plain,
% 6.27/4.39 ((~![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(constB49, constB50)) | (~(((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0))))),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2292, 2291])).
% 6.27/4.39 tff(2294,plain,
% 6.27/4.39 (~(((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0)))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2293, 2290, 505])).
% 6.27/4.39 tff(2295,plain,
% 6.27/4.39 ((((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0))) | (~((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)))),
% 6.27/4.39 inference(tautology,[status(thm)],[])).
% 6.27/4.39 tff(2296,plain,
% 6.27/4.39 (~((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2295, 2294])).
% 6.27/4.39 tff(2297,plain,
% 6.27/4.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB49) <=> v26(constB49))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2298,plain,
% 6.27/4.39 (v111(constB49) <=> v26(constB49)),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2297, 524])).
% 6.27/4.39 tff(2299,plain,
% 6.27/4.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2300,plain,
% 6.27/4.39 (~v26(constB49)),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2299, 536])).
% 6.27/4.39 tff(2301,plain,
% 6.27/4.39 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49)) | v26(constB49)),
% 6.27/4.39 inference(tautology,[status(thm)],[])).
% 6.27/4.39 tff(2302,plain,
% 6.27/4.39 ((~(v111(constB49) <=> v26(constB49))) | (~v111(constB49))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2301, 2300])).
% 6.27/4.39 tff(2303,plain,
% 6.27/4.39 (~v111(constB49)),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2302, 2298])).
% 6.27/4.39 tff(2304,plain,
% 6.27/4.39 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB49) | (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB49) | (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)))))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2305,plain,
% 6.27/4.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB49) | (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)))))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2306,plain,
% 6.27/4.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB49) | (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1))))),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 6.27/4.39 tff(2307,plain,
% 6.27/4.39 (v111(constB49) | (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1))))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2306, 554])).
% 6.27/4.39 tff(2308,plain,
% 6.27/4.39 (~(((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2307, 2303])).
% 6.27/4.39 tff(2309,plain,
% 6.27/4.39 ((((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1))) | (~((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)))),
% 6.27/4.39 inference(tautology,[status(thm)],[])).
% 6.27/4.39 tff(2310,plain,
% 6.27/4.39 (~((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2309, 2308])).
% 6.27/4.39 tff(2311,plain,
% 6.27/4.39 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2))))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2312,plain,
% 6.27/4.39 (v119(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2311, 727])).
% 6.27/4.39 tff(2313,plain,
% 6.27/4.39 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2314,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48')).
% 6.27/4.39 tff(2315,plain,
% 6.27/4.39 (nextState(constB48, constB49)),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2314, 2313])).
% 6.27/4.39 tff(2316,plain,
% 6.27/4.39 (((~![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))))))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2317,plain,
% 6.27/4.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2318,plain,
% 6.27/4.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB48, constB49)) | (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 6.27/4.39 tff(2319,plain,
% 6.27/4.39 (v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49))))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2318, 2315, 433])).
% 6.27/4.39 tff(2320,plain,
% 6.27/4.39 (((~![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))))))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2321,plain,
% 6.27/4.39 (((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49)))))) <=> ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2322,plain,
% 6.27/4.39 (((~![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)))))))),
% 6.27/4.39 inference(monotonicity,[status(thm)],[2321])).
% 6.27/4.39 tff(2323,plain,
% 6.27/4.39 (((~![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))))))),
% 6.27/4.39 inference(transitivity,[status(thm)],[2322, 2320])).
% 6.27/4.39 tff(2324,plain,
% 6.27/4.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v102(constB49)) | (~v1(constB49))))))),
% 6.27/4.39 inference(quant_inst,[status(thm)],[])).
% 6.27/4.39 tff(2325,plain,
% 6.27/4.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))),
% 6.27/4.39 inference(modus_ponens,[status(thm)],[2324, 2323])).
% 6.27/4.39 tff(2326,plain,
% 6.27/4.39 (v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49))))),
% 6.27/4.39 inference(unit_resolution,[status(thm)],[2325, 2315, 453])).
% 6.27/4.39 tff(2327,plain,
% 6.27/4.39 ((~v1(constB49)) <=> (~v1(constB49))),
% 6.27/4.39 inference(rewrite,[status(thm)],[])).
% 6.27/4.39 tff(2328,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49')).
% 6.27/4.40 tff(2329,plain,
% 6.27/4.40 (~v1(constB49)),
% 6.27/4.40 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 6.27/4.40 tff(2330,plain,
% 6.27/4.40 (((~v1(constB49)) | (~v102(constB49))) | v1(constB49)),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2331,plain,
% 6.27/4.40 ((~v1(constB49)) | (~v102(constB49))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2330, 2329])).
% 6.27/4.40 tff(2332,plain,
% 6.27/4.40 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49)) | (~((~v1(constB49)) | (~v102(constB49))))),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2333,plain,
% 6.27/4.40 ((~(v101(constB49) <=> (~((~v1(constB49)) | (~v102(constB49)))))) | (~v101(constB49))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2332, 2331])).
% 6.27/4.40 tff(2334,plain,
% 6.27/4.40 (~v101(constB49)),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2333, 2326])).
% 6.27/4.40 tff(2335,plain,
% 6.27/4.40 (((~v101(constB49)) | (~v110(constB49))) | v101(constB49)),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2336,plain,
% 6.27/4.40 ((~v101(constB49)) | (~v110(constB49))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2335, 2334])).
% 6.27/4.40 tff(2337,plain,
% 6.27/4.40 ((~(v100(constB49) <=> (~((~v101(constB49)) | (~v110(constB49)))))) | (~v100(constB49)) | (~((~v101(constB49)) | (~v110(constB49))))),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2338,plain,
% 6.27/4.40 (~v100(constB49)),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2337, 2336, 2319])).
% 6.27/4.40 tff(2339,plain,
% 6.27/4.40 (((~![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(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)))))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2340,plain,
% 6.27/4.40 ((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)))))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2341,plain,
% 6.27/4.40 (((~![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(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))))))),
% 6.27/4.40 inference(monotonicity,[status(thm)],[2340])).
% 6.27/4.40 tff(2342,plain,
% 6.27/4.40 (((~![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(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)))))),
% 6.27/4.40 inference(transitivity,[status(thm)],[2341, 2339])).
% 6.27/4.40 tff(2343,plain,
% 6.27/4.40 ((~![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(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))))),
% 6.27/4.40 inference(quant_inst,[status(thm)],[])).
% 6.27/4.40 tff(2344,plain,
% 6.27/4.40 ((~![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(constB49) | (~nextState(constB48, constB49)) | (~(((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))))),
% 6.27/4.40 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 6.27/4.40 tff(2345,plain,
% 6.27/4.40 (v100(constB49) | (~(((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2344, 2315, 482])).
% 6.27/4.40 tff(2346,plain,
% 6.27/4.40 (~(((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2345, 2338])).
% 6.27/4.40 tff(2347,plain,
% 6.27/4.40 ((((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))) | (~((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)))),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2348,plain,
% 6.27/4.40 (~((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2347, 2346])).
% 6.27/4.40 tff(2349,plain,
% 6.27/4.40 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2350,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47')).
% 6.27/4.40 tff(2351,plain,
% 6.27/4.40 (nextState(constB47, constB48)),
% 6.27/4.40 inference(modus_ponens,[status(thm)],[2350, 2349])).
% 6.27/4.40 tff(2352,plain,
% 6.27/4.40 (((~![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(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)))))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2353,plain,
% 6.27/4.40 ((~![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(constB47, constB48)) | (~(((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0)))))),
% 6.27/4.40 inference(quant_inst,[status(thm)],[])).
% 6.27/4.40 tff(2354,plain,
% 6.27/4.40 ((~![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(constB47, constB48)) | (~(((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0))))),
% 6.27/4.40 inference(modus_ponens,[status(thm)],[2353, 2352])).
% 6.27/4.40 tff(2355,plain,
% 6.27/4.40 (~(((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0)))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2354, 2351, 505])).
% 6.27/4.40 tff(2356,plain,
% 6.27/4.40 ((((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0))) | (~((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)))),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2357,plain,
% 6.27/4.40 (~((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2356, 2355])).
% 6.27/4.40 tff(2358,plain,
% 6.27/4.40 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB47) <=> v26(constB47))),
% 6.27/4.40 inference(quant_inst,[status(thm)],[])).
% 6.27/4.40 tff(2359,plain,
% 6.27/4.40 (v111(constB47) <=> v26(constB47)),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2358, 524])).
% 6.27/4.40 tff(2360,plain,
% 6.27/4.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 6.27/4.40 inference(quant_inst,[status(thm)],[])).
% 6.27/4.40 tff(2361,plain,
% 6.27/4.40 (~v26(constB47)),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2360, 536])).
% 6.27/4.40 tff(2362,plain,
% 6.27/4.40 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47)) | v26(constB47)),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2363,plain,
% 6.27/4.40 ((~(v111(constB47) <=> v26(constB47))) | (~v111(constB47))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2362, 2361])).
% 6.27/4.40 tff(2364,plain,
% 6.27/4.40 (~v111(constB47)),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2363, 2359])).
% 6.27/4.40 tff(2365,plain,
% 6.27/4.40 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB47) | (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB47) | (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)))))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2366,plain,
% 6.27/4.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB47) | (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)))))),
% 6.27/4.40 inference(quant_inst,[status(thm)],[])).
% 6.27/4.40 tff(2367,plain,
% 6.27/4.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB47) | (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1))))),
% 6.27/4.40 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 6.27/4.40 tff(2368,plain,
% 6.27/4.40 (v111(constB47) | (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1))))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2367, 554])).
% 6.27/4.40 tff(2369,plain,
% 6.27/4.40 (~(((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2368, 2364])).
% 6.27/4.40 tff(2370,plain,
% 6.27/4.40 ((((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1))) | (~((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)))),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2371,plain,
% 6.27/4.40 (~((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2370, 2369])).
% 6.27/4.40 tff(2372,plain,
% 6.27/4.40 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0))))))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2373,plain,
% 6.27/4.40 ((v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)) | (~v90(constB47, bitIndex2))))) <=> (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0)))))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2374,plain,
% 6.27/4.40 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)) | (~v90(constB47, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0))))))),
% 6.27/4.40 inference(monotonicity,[status(thm)],[2373])).
% 6.27/4.40 tff(2375,plain,
% 6.27/4.40 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)) | (~v90(constB47, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0))))))),
% 6.27/4.40 inference(transitivity,[status(thm)],[2374, 2372])).
% 6.27/4.40 tff(2376,plain,
% 6.27/4.40 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex0)) | (~v90(constB47, bitIndex2)))))),
% 6.27/4.40 inference(quant_inst,[status(thm)],[])).
% 6.27/4.40 tff(2377,plain,
% 6.27/4.40 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0)))))),
% 6.27/4.40 inference(modus_ponens,[status(thm)],[2376, 2375])).
% 6.27/4.40 tff(2378,plain,
% 6.27/4.40 (v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0))))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2377, 801])).
% 6.27/4.40 tff(2379,plain,
% 6.27/4.40 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2380,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46')).
% 6.27/4.40 tff(2381,plain,
% 6.27/4.40 (nextState(constB46, constB47)),
% 6.27/4.40 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 6.27/4.40 tff(2382,plain,
% 6.27/4.40 (((~![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))))))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2383,plain,
% 6.27/4.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))))),
% 6.27/4.40 inference(quant_inst,[status(thm)],[])).
% 6.27/4.40 tff(2384,plain,
% 6.27/4.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB46, constB47)) | (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))),
% 6.27/4.40 inference(modus_ponens,[status(thm)],[2383, 2382])).
% 6.27/4.40 tff(2385,plain,
% 6.27/4.40 (v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47))))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2384, 2381, 433])).
% 6.27/4.40 tff(2386,plain,
% 6.27/4.40 (((~![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))))))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2387,plain,
% 6.27/4.40 (((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47)))))) <=> ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2388,plain,
% 6.27/4.40 (((~![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)))))))),
% 6.27/4.40 inference(monotonicity,[status(thm)],[2387])).
% 6.27/4.40 tff(2389,plain,
% 6.27/4.40 (((~![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))))))),
% 6.27/4.40 inference(transitivity,[status(thm)],[2388, 2386])).
% 6.27/4.40 tff(2390,plain,
% 6.27/4.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v102(constB47)) | (~v1(constB47))))))),
% 6.27/4.40 inference(quant_inst,[status(thm)],[])).
% 6.27/4.40 tff(2391,plain,
% 6.27/4.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))),
% 6.27/4.40 inference(modus_ponens,[status(thm)],[2390, 2389])).
% 6.27/4.40 tff(2392,plain,
% 6.27/4.40 (v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47))))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2391, 2381, 453])).
% 6.27/4.40 tff(2393,plain,
% 6.27/4.40 ((~v1(constB47)) <=> (~v1(constB47))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2394,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47')).
% 6.27/4.40 tff(2395,plain,
% 6.27/4.40 (~v1(constB47)),
% 6.27/4.40 inference(modus_ponens,[status(thm)],[2394, 2393])).
% 6.27/4.40 tff(2396,plain,
% 6.27/4.40 (((~v1(constB47)) | (~v102(constB47))) | v1(constB47)),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2397,plain,
% 6.27/4.40 ((~v1(constB47)) | (~v102(constB47))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2396, 2395])).
% 6.27/4.40 tff(2398,plain,
% 6.27/4.40 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47)) | (~((~v1(constB47)) | (~v102(constB47))))),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2399,plain,
% 6.27/4.40 ((~(v101(constB47) <=> (~((~v1(constB47)) | (~v102(constB47)))))) | (~v101(constB47))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2398, 2397])).
% 6.27/4.40 tff(2400,plain,
% 6.27/4.40 (~v101(constB47)),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2399, 2392])).
% 6.27/4.40 tff(2401,plain,
% 6.27/4.40 (((~v101(constB47)) | (~v110(constB47))) | v101(constB47)),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2402,plain,
% 6.27/4.40 ((~v101(constB47)) | (~v110(constB47))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2401, 2400])).
% 6.27/4.40 tff(2403,plain,
% 6.27/4.40 ((~(v100(constB47) <=> (~((~v101(constB47)) | (~v110(constB47)))))) | (~v100(constB47)) | (~((~v101(constB47)) | (~v110(constB47))))),
% 6.27/4.40 inference(tautology,[status(thm)],[])).
% 6.27/4.40 tff(2404,plain,
% 6.27/4.40 (~v100(constB47)),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2403, 2402, 2385])).
% 6.27/4.40 tff(2405,plain,
% 6.27/4.40 (((~![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(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)))))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2406,plain,
% 6.27/4.40 ((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)))))),
% 6.27/4.40 inference(rewrite,[status(thm)],[])).
% 6.27/4.40 tff(2407,plain,
% 6.27/4.40 (((~![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(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))))))),
% 6.27/4.40 inference(monotonicity,[status(thm)],[2406])).
% 6.27/4.40 tff(2408,plain,
% 6.27/4.40 (((~![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(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)))))),
% 6.27/4.40 inference(transitivity,[status(thm)],[2407, 2405])).
% 6.27/4.40 tff(2409,plain,
% 6.27/4.40 ((~![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(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))))),
% 6.27/4.40 inference(quant_inst,[status(thm)],[])).
% 6.27/4.40 tff(2410,plain,
% 6.27/4.40 ((~![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(constB47) | (~nextState(constB46, constB47)) | (~(((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))))),
% 6.27/4.40 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 6.27/4.40 tff(2411,plain,
% 6.27/4.40 (v100(constB47) | (~(((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2410, 2381, 482])).
% 6.27/4.40 tff(2412,plain,
% 6.27/4.40 (~(((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))),
% 6.27/4.40 inference(unit_resolution,[status(thm)],[2411, 2404])).
% 6.27/4.41 tff(2413,plain,
% 6.27/4.41 ((((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))) | (~((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)))),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2414,plain,
% 6.27/4.41 (~((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2413, 2412])).
% 6.27/4.41 tff(2415,plain,
% 6.27/4.41 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2416,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45')).
% 6.27/4.41 tff(2417,plain,
% 6.27/4.41 (nextState(constB45, constB46)),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2416, 2415])).
% 6.27/4.41 tff(2418,plain,
% 6.27/4.41 (((~![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(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)))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2419,plain,
% 6.27/4.41 ((~![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(constB45, constB46)) | (~(((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0)))))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2420,plain,
% 6.27/4.41 ((~![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(constB45, constB46)) | (~(((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0))))),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2419, 2418])).
% 6.27/4.41 tff(2421,plain,
% 6.27/4.41 (~(((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0)))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2420, 2417, 505])).
% 6.27/4.41 tff(2422,plain,
% 6.27/4.41 ((((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0))) | (~((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)))),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2423,plain,
% 6.27/4.41 (~((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2422, 2421])).
% 6.27/4.41 tff(2424,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB45) <=> v26(constB45))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2425,plain,
% 6.27/4.41 (v111(constB45) <=> v26(constB45)),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2424, 524])).
% 6.27/4.41 tff(2426,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2427,plain,
% 6.27/4.41 (~v26(constB45)),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2426, 536])).
% 6.27/4.41 tff(2428,plain,
% 6.27/4.41 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45)) | v26(constB45)),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2429,plain,
% 6.27/4.41 ((~(v111(constB45) <=> v26(constB45))) | (~v111(constB45))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2428, 2427])).
% 6.27/4.41 tff(2430,plain,
% 6.27/4.41 (~v111(constB45)),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2429, 2425])).
% 6.27/4.41 tff(2431,plain,
% 6.27/4.41 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB45) | (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB45) | (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2432,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB45) | (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)))))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2433,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB45) | (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1))))),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 6.27/4.41 tff(2434,plain,
% 6.27/4.41 (v111(constB45) | (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1))))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2433, 554])).
% 6.27/4.41 tff(2435,plain,
% 6.27/4.41 (~(((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2434, 2430])).
% 6.27/4.41 tff(2436,plain,
% 6.27/4.41 ((((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1))) | (~((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)))),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2437,plain,
% 6.27/4.41 (~((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2436, 2435])).
% 6.27/4.41 tff(2438,plain,
% 6.27/4.41 (((~![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))))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2439,plain,
% 6.27/4.41 ((v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2))))) <=> (v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2)))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2440,plain,
% 6.27/4.41 (((~![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))))))),
% 6.27/4.41 inference(monotonicity,[status(thm)],[2439])).
% 6.27/4.41 tff(2441,plain,
% 6.27/4.41 (((~![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))))))),
% 6.27/4.41 inference(transitivity,[status(thm)],[2440, 2438])).
% 6.27/4.41 tff(2442,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex0) | v90(constB45, bitIndex1) | (~v90(constB45, bitIndex2)))))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2443,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2)))))),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2442, 2441])).
% 6.27/4.41 tff(2444,plain,
% 6.27/4.41 (v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2))))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2443, 880])).
% 6.27/4.41 tff(2445,plain,
% 6.27/4.41 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2446,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44')).
% 6.27/4.41 tff(2447,plain,
% 6.27/4.41 (nextState(constB44, constB45)),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2446, 2445])).
% 6.27/4.41 tff(2448,plain,
% 6.27/4.41 (((~![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))))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2449,plain,
% 6.27/4.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2450,plain,
% 6.27/4.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB44, constB45)) | (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2449, 2448])).
% 6.27/4.41 tff(2451,plain,
% 6.27/4.41 (v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45))))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2450, 2447, 433])).
% 6.27/4.41 tff(2452,plain,
% 6.27/4.41 (((~![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))))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2453,plain,
% 6.27/4.41 (((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45)))))) <=> ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2454,plain,
% 6.27/4.41 (((~![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)))))))),
% 6.27/4.41 inference(monotonicity,[status(thm)],[2453])).
% 6.27/4.41 tff(2455,plain,
% 6.27/4.41 (((~![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))))))),
% 6.27/4.41 inference(transitivity,[status(thm)],[2454, 2452])).
% 6.27/4.41 tff(2456,plain,
% 6.27/4.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v102(constB45)) | (~v1(constB45))))))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2457,plain,
% 6.27/4.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2456, 2455])).
% 6.27/4.41 tff(2458,plain,
% 6.27/4.41 (v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45))))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2457, 2447, 453])).
% 6.27/4.41 tff(2459,plain,
% 6.27/4.41 ((~v1(constB45)) <=> (~v1(constB45))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2460,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45')).
% 6.27/4.41 tff(2461,plain,
% 6.27/4.41 (~v1(constB45)),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2460, 2459])).
% 6.27/4.41 tff(2462,plain,
% 6.27/4.41 (((~v1(constB45)) | (~v102(constB45))) | v1(constB45)),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2463,plain,
% 6.27/4.41 ((~v1(constB45)) | (~v102(constB45))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2462, 2461])).
% 6.27/4.41 tff(2464,plain,
% 6.27/4.41 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45)) | (~((~v1(constB45)) | (~v102(constB45))))),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2465,plain,
% 6.27/4.41 ((~(v101(constB45) <=> (~((~v1(constB45)) | (~v102(constB45)))))) | (~v101(constB45))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2464, 2463])).
% 6.27/4.41 tff(2466,plain,
% 6.27/4.41 (~v101(constB45)),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2465, 2458])).
% 6.27/4.41 tff(2467,plain,
% 6.27/4.41 (((~v101(constB45)) | (~v110(constB45))) | v101(constB45)),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2468,plain,
% 6.27/4.41 ((~v101(constB45)) | (~v110(constB45))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2467, 2466])).
% 6.27/4.41 tff(2469,plain,
% 6.27/4.41 ((~(v100(constB45) <=> (~((~v101(constB45)) | (~v110(constB45)))))) | (~v100(constB45)) | (~((~v101(constB45)) | (~v110(constB45))))),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2470,plain,
% 6.27/4.41 (~v100(constB45)),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2469, 2468, 2451])).
% 6.27/4.41 tff(2471,plain,
% 6.27/4.41 (((~![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(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)))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2472,plain,
% 6.27/4.41 ((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)))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2473,plain,
% 6.27/4.41 (((~![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(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))))))),
% 6.27/4.41 inference(monotonicity,[status(thm)],[2472])).
% 6.27/4.41 tff(2474,plain,
% 6.27/4.41 (((~![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(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)))))),
% 6.27/4.41 inference(transitivity,[status(thm)],[2473, 2471])).
% 6.27/4.41 tff(2475,plain,
% 6.27/4.41 ((~![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(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2476,plain,
% 6.27/4.41 ((~![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(constB45) | (~nextState(constB44, constB45)) | (~(((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))))),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2475, 2474])).
% 6.27/4.41 tff(2477,plain,
% 6.27/4.41 (v100(constB45) | (~(((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2476, 2447, 482])).
% 6.27/4.41 tff(2478,plain,
% 6.27/4.41 (~(((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2477, 2470])).
% 6.27/4.41 tff(2479,plain,
% 6.27/4.41 ((((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))) | (~((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)))),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2480,plain,
% 6.27/4.41 (~((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2479, 2478])).
% 6.27/4.41 tff(2481,plain,
% 6.27/4.41 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2482,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43')).
% 6.27/4.41 tff(2483,plain,
% 6.27/4.41 (nextState(constB43, constB44)),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2482, 2481])).
% 6.27/4.41 tff(2484,plain,
% 6.27/4.41 (((~![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(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)))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2485,plain,
% 6.27/4.41 ((~![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(constB43, constB44)) | (~(((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0)))))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2486,plain,
% 6.27/4.41 ((~![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(constB43, constB44)) | (~(((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0))))),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2485, 2484])).
% 6.27/4.41 tff(2487,plain,
% 6.27/4.41 (~(((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0)))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2486, 2483, 505])).
% 6.27/4.41 tff(2488,plain,
% 6.27/4.41 ((((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0))) | (~((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)))),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2489,plain,
% 6.27/4.41 (~((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2488, 2487])).
% 6.27/4.41 tff(2490,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB43) <=> v26(constB43))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2491,plain,
% 6.27/4.41 (v111(constB43) <=> v26(constB43)),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2490, 524])).
% 6.27/4.41 tff(2492,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2493,plain,
% 6.27/4.41 (~v26(constB43)),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2492, 536])).
% 6.27/4.41 tff(2494,plain,
% 6.27/4.41 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43)) | v26(constB43)),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2495,plain,
% 6.27/4.41 ((~(v111(constB43) <=> v26(constB43))) | (~v111(constB43))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2494, 2493])).
% 6.27/4.41 tff(2496,plain,
% 6.27/4.41 (~v111(constB43)),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2495, 2491])).
% 6.27/4.41 tff(2497,plain,
% 6.27/4.41 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB43) | (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB43) | (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2498,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB43) | (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)))))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2499,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB43) | (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1))))),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 6.27/4.41 tff(2500,plain,
% 6.27/4.41 (v111(constB43) | (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1))))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2499, 554])).
% 6.27/4.41 tff(2501,plain,
% 6.27/4.41 (~(((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2500, 2496])).
% 6.27/4.41 tff(2502,plain,
% 6.27/4.41 ((((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1))) | (~((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)))),
% 6.27/4.41 inference(tautology,[status(thm)],[])).
% 6.27/4.41 tff(2503,plain,
% 6.27/4.41 (~((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2502, 2501])).
% 6.27/4.41 tff(2504,plain,
% 6.27/4.41 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2505,plain,
% 6.27/4.41 ((v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1))))) <=> (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))))),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2506,plain,
% 6.27/4.41 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))))))),
% 6.27/4.41 inference(monotonicity,[status(thm)],[2505])).
% 6.27/4.41 tff(2507,plain,
% 6.27/4.41 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))))))),
% 6.27/4.41 inference(transitivity,[status(thm)],[2506, 2504])).
% 6.27/4.41 tff(2508,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex0)) | (~v90(constB43, bitIndex1)))))),
% 6.27/4.41 inference(quant_inst,[status(thm)],[])).
% 6.27/4.41 tff(2509,plain,
% 6.27/4.41 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))))),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2508, 2507])).
% 6.27/4.41 tff(2510,plain,
% 6.27/4.41 (v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))))),
% 6.27/4.41 inference(unit_resolution,[status(thm)],[2509, 959])).
% 6.27/4.41 tff(2511,plain,
% 6.27/4.41 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 6.27/4.41 inference(rewrite,[status(thm)],[])).
% 6.27/4.41 tff(2512,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42')).
% 6.27/4.41 tff(2513,plain,
% 6.27/4.41 (nextState(constB42, constB43)),
% 6.27/4.41 inference(modus_ponens,[status(thm)],[2512, 2511])).
% 6.27/4.41 tff(2514,plain,
% 6.27/4.41 (((~![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))))))),
% 6.27/4.42 inference(rewrite,[status(thm)],[])).
% 6.27/4.42 tff(2515,plain,
% 6.27/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))))),
% 6.27/4.42 inference(quant_inst,[status(thm)],[])).
% 6.27/4.42 tff(2516,plain,
% 6.27/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB42, constB43)) | (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))),
% 6.27/4.42 inference(modus_ponens,[status(thm)],[2515, 2514])).
% 6.27/4.42 tff(2517,plain,
% 6.27/4.42 (v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43))))),
% 6.27/4.42 inference(unit_resolution,[status(thm)],[2516, 2513, 433])).
% 6.27/4.42 tff(2518,plain,
% 6.27/4.42 (((~![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))))))),
% 6.27/4.42 inference(rewrite,[status(thm)],[])).
% 6.27/4.42 tff(2519,plain,
% 6.27/4.42 (((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43)))))) <=> ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))))),
% 6.27/4.42 inference(rewrite,[status(thm)],[])).
% 6.27/4.42 tff(2520,plain,
% 6.27/4.42 (((~![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)))))))),
% 6.27/4.42 inference(monotonicity,[status(thm)],[2519])).
% 6.27/4.42 tff(2521,plain,
% 6.27/4.42 (((~![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))))))),
% 6.27/4.42 inference(transitivity,[status(thm)],[2520, 2518])).
% 6.27/4.42 tff(2522,plain,
% 6.27/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v102(constB43)) | (~v1(constB43))))))),
% 6.27/4.42 inference(quant_inst,[status(thm)],[])).
% 6.27/4.42 tff(2523,plain,
% 6.27/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))),
% 6.27/4.42 inference(modus_ponens,[status(thm)],[2522, 2521])).
% 6.27/4.42 tff(2524,plain,
% 6.27/4.42 (v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43))))),
% 6.27/4.42 inference(unit_resolution,[status(thm)],[2523, 2513, 453])).
% 6.27/4.42 tff(2525,plain,
% 6.27/4.42 ((~v1(constB43)) <=> (~v1(constB43))),
% 6.27/4.42 inference(rewrite,[status(thm)],[])).
% 6.27/4.42 tff(2526,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43')).
% 6.27/4.42 tff(2527,plain,
% 6.27/4.42 (~v1(constB43)),
% 6.27/4.42 inference(modus_ponens,[status(thm)],[2526, 2525])).
% 6.27/4.42 tff(2528,plain,
% 6.27/4.42 (((~v1(constB43)) | (~v102(constB43))) | v1(constB43)),
% 6.27/4.42 inference(tautology,[status(thm)],[])).
% 6.27/4.42 tff(2529,plain,
% 6.27/4.42 ((~v1(constB43)) | (~v102(constB43))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2528, 2527])).
% 6.30/4.42 tff(2530,plain,
% 6.30/4.42 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43)) | (~((~v1(constB43)) | (~v102(constB43))))),
% 6.30/4.42 inference(tautology,[status(thm)],[])).
% 6.30/4.42 tff(2531,plain,
% 6.30/4.42 ((~(v101(constB43) <=> (~((~v1(constB43)) | (~v102(constB43)))))) | (~v101(constB43))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2530, 2529])).
% 6.30/4.42 tff(2532,plain,
% 6.30/4.42 (~v101(constB43)),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2531, 2524])).
% 6.30/4.42 tff(2533,plain,
% 6.30/4.42 (((~v101(constB43)) | (~v110(constB43))) | v101(constB43)),
% 6.30/4.42 inference(tautology,[status(thm)],[])).
% 6.30/4.42 tff(2534,plain,
% 6.30/4.42 ((~v101(constB43)) | (~v110(constB43))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2533, 2532])).
% 6.30/4.42 tff(2535,plain,
% 6.30/4.42 ((~(v100(constB43) <=> (~((~v101(constB43)) | (~v110(constB43)))))) | (~v100(constB43)) | (~((~v101(constB43)) | (~v110(constB43))))),
% 6.30/4.42 inference(tautology,[status(thm)],[])).
% 6.30/4.42 tff(2536,plain,
% 6.30/4.42 (~v100(constB43)),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2535, 2534, 2517])).
% 6.30/4.42 tff(2537,plain,
% 6.30/4.42 (((~![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(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)))))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2538,plain,
% 6.30/4.42 ((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)))))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2539,plain,
% 6.30/4.42 (((~![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(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))))))),
% 6.30/4.42 inference(monotonicity,[status(thm)],[2538])).
% 6.30/4.42 tff(2540,plain,
% 6.30/4.42 (((~![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(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)))))),
% 6.30/4.42 inference(transitivity,[status(thm)],[2539, 2537])).
% 6.30/4.42 tff(2541,plain,
% 6.30/4.42 ((~![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(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))))),
% 6.30/4.42 inference(quant_inst,[status(thm)],[])).
% 6.30/4.42 tff(2542,plain,
% 6.30/4.42 ((~![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(constB43) | (~nextState(constB42, constB43)) | (~(((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))))),
% 6.30/4.42 inference(modus_ponens,[status(thm)],[2541, 2540])).
% 6.30/4.42 tff(2543,plain,
% 6.30/4.42 (v100(constB43) | (~(((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2542, 2513, 482])).
% 6.30/4.42 tff(2544,plain,
% 6.30/4.42 (~(((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2543, 2536])).
% 6.30/4.42 tff(2545,plain,
% 6.30/4.42 ((((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))) | (~((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)))),
% 6.30/4.42 inference(tautology,[status(thm)],[])).
% 6.30/4.42 tff(2546,plain,
% 6.30/4.42 (~((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2545, 2544])).
% 6.30/4.42 tff(2547,plain,
% 6.30/4.42 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2548,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41')).
% 6.30/4.42 tff(2549,plain,
% 6.30/4.42 (nextState(constB41, constB42)),
% 6.30/4.42 inference(modus_ponens,[status(thm)],[2548, 2547])).
% 6.30/4.42 tff(2550,plain,
% 6.30/4.42 (((~![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(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)))))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2551,plain,
% 6.30/4.42 ((~![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(constB41, constB42)) | (~(((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0)))))),
% 6.30/4.42 inference(quant_inst,[status(thm)],[])).
% 6.30/4.42 tff(2552,plain,
% 6.30/4.42 ((~![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(constB41, constB42)) | (~(((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0))))),
% 6.30/4.42 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 6.30/4.42 tff(2553,plain,
% 6.30/4.42 (~(((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0)))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2552, 2549, 505])).
% 6.30/4.42 tff(2554,plain,
% 6.30/4.42 ((((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0))) | (~((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)))),
% 6.30/4.42 inference(tautology,[status(thm)],[])).
% 6.30/4.42 tff(2555,plain,
% 6.30/4.42 (~((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2554, 2553])).
% 6.30/4.42 tff(2556,plain,
% 6.30/4.42 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB41) <=> v26(constB41))),
% 6.30/4.42 inference(quant_inst,[status(thm)],[])).
% 6.30/4.42 tff(2557,plain,
% 6.30/4.42 (v111(constB41) <=> v26(constB41)),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2556, 524])).
% 6.30/4.42 tff(2558,plain,
% 6.30/4.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 6.30/4.42 inference(quant_inst,[status(thm)],[])).
% 6.30/4.42 tff(2559,plain,
% 6.30/4.42 (~v26(constB41)),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2558, 536])).
% 6.30/4.42 tff(2560,plain,
% 6.30/4.42 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41)) | v26(constB41)),
% 6.30/4.42 inference(tautology,[status(thm)],[])).
% 6.30/4.42 tff(2561,plain,
% 6.30/4.42 ((~(v111(constB41) <=> v26(constB41))) | (~v111(constB41))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2560, 2559])).
% 6.30/4.42 tff(2562,plain,
% 6.30/4.42 (~v111(constB41)),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2561, 2557])).
% 6.30/4.42 tff(2563,plain,
% 6.30/4.42 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB41) | (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB41) | (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)))))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2564,plain,
% 6.30/4.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB41) | (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)))))),
% 6.30/4.42 inference(quant_inst,[status(thm)],[])).
% 6.30/4.42 tff(2565,plain,
% 6.30/4.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB41) | (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1))))),
% 6.30/4.42 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 6.30/4.42 tff(2566,plain,
% 6.30/4.42 (v111(constB41) | (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1))))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2565, 554])).
% 6.30/4.42 tff(2567,plain,
% 6.30/4.42 (~(((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2566, 2562])).
% 6.30/4.42 tff(2568,plain,
% 6.30/4.42 ((((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1))) | (~((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)))),
% 6.30/4.42 inference(tautology,[status(thm)],[])).
% 6.30/4.42 tff(2569,plain,
% 6.30/4.42 (~((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2568, 2567])).
% 6.30/4.42 tff(2570,plain,
% 6.30/4.42 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1))))))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2571,plain,
% 6.30/4.42 ((v121(constB41) <=> (~(v90(constB41, bitIndex0) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1))))) <=> (v121(constB41) <=> (~(v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)))))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2572,plain,
% 6.30/4.42 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex0) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1))))))),
% 6.30/4.42 inference(monotonicity,[status(thm)],[2571])).
% 6.30/4.42 tff(2573,plain,
% 6.30/4.42 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex0) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1))))))),
% 6.30/4.42 inference(transitivity,[status(thm)],[2572, 2570])).
% 6.30/4.42 tff(2574,plain,
% 6.30/4.42 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex0) | v90(constB41, bitIndex2) | (~v90(constB41, bitIndex1)))))),
% 6.30/4.42 inference(quant_inst,[status(thm)],[])).
% 6.30/4.42 tff(2575,plain,
% 6.30/4.42 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB41) <=> (~(v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)))))),
% 6.30/4.42 inference(modus_ponens,[status(thm)],[2574, 2573])).
% 6.30/4.42 tff(2576,plain,
% 6.30/4.42 (v121(constB41) <=> (~(v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1))))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2575, 574])).
% 6.30/4.42 tff(2577,plain,
% 6.30/4.42 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2578,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40')).
% 6.30/4.42 tff(2579,plain,
% 6.30/4.42 (nextState(constB40, constB41)),
% 6.30/4.42 inference(modus_ponens,[status(thm)],[2578, 2577])).
% 6.30/4.42 tff(2580,plain,
% 6.30/4.42 (((~![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))))))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2581,plain,
% 6.30/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))))),
% 6.30/4.42 inference(quant_inst,[status(thm)],[])).
% 6.30/4.42 tff(2582,plain,
% 6.30/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB40, constB41)) | (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))),
% 6.30/4.42 inference(modus_ponens,[status(thm)],[2581, 2580])).
% 6.30/4.42 tff(2583,plain,
% 6.30/4.42 (v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41))))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2582, 2579, 433])).
% 6.30/4.42 tff(2584,plain,
% 6.30/4.42 (((~![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))))))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2585,plain,
% 6.30/4.42 (((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41)))))) <=> ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2586,plain,
% 6.30/4.42 (((~![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)))))))),
% 6.30/4.42 inference(monotonicity,[status(thm)],[2585])).
% 6.30/4.42 tff(2587,plain,
% 6.30/4.42 (((~![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))))))),
% 6.30/4.42 inference(transitivity,[status(thm)],[2586, 2584])).
% 6.30/4.42 tff(2588,plain,
% 6.30/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v102(constB41)) | (~v1(constB41))))))),
% 6.30/4.42 inference(quant_inst,[status(thm)],[])).
% 6.30/4.42 tff(2589,plain,
% 6.30/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))),
% 6.30/4.42 inference(modus_ponens,[status(thm)],[2588, 2587])).
% 6.30/4.42 tff(2590,plain,
% 6.30/4.42 (v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41))))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2589, 2579, 453])).
% 6.30/4.42 tff(2591,plain,
% 6.30/4.42 ((~v1(constB41)) <=> (~v1(constB41))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2592,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41')).
% 6.30/4.42 tff(2593,plain,
% 6.30/4.42 (~v1(constB41)),
% 6.30/4.42 inference(modus_ponens,[status(thm)],[2592, 2591])).
% 6.30/4.42 tff(2594,plain,
% 6.30/4.42 (((~v1(constB41)) | (~v102(constB41))) | v1(constB41)),
% 6.30/4.42 inference(tautology,[status(thm)],[])).
% 6.30/4.42 tff(2595,plain,
% 6.30/4.42 ((~v1(constB41)) | (~v102(constB41))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2594, 2593])).
% 6.30/4.42 tff(2596,plain,
% 6.30/4.42 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41)) | (~((~v1(constB41)) | (~v102(constB41))))),
% 6.30/4.42 inference(tautology,[status(thm)],[])).
% 6.30/4.42 tff(2597,plain,
% 6.30/4.42 ((~(v101(constB41) <=> (~((~v1(constB41)) | (~v102(constB41)))))) | (~v101(constB41))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2596, 2595])).
% 6.30/4.42 tff(2598,plain,
% 6.30/4.42 (~v101(constB41)),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2597, 2590])).
% 6.30/4.42 tff(2599,plain,
% 6.30/4.42 (((~v101(constB41)) | (~v110(constB41))) | v101(constB41)),
% 6.30/4.42 inference(tautology,[status(thm)],[])).
% 6.30/4.42 tff(2600,plain,
% 6.30/4.42 ((~v101(constB41)) | (~v110(constB41))),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2599, 2598])).
% 6.30/4.42 tff(2601,plain,
% 6.30/4.42 ((~(v100(constB41) <=> (~((~v101(constB41)) | (~v110(constB41)))))) | (~v100(constB41)) | (~((~v101(constB41)) | (~v110(constB41))))),
% 6.30/4.42 inference(tautology,[status(thm)],[])).
% 6.30/4.42 tff(2602,plain,
% 6.30/4.42 (~v100(constB41)),
% 6.30/4.42 inference(unit_resolution,[status(thm)],[2601, 2600, 2583])).
% 6.30/4.42 tff(2603,plain,
% 6.30/4.42 (((~![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(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)))))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2604,plain,
% 6.30/4.42 ((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)))))),
% 6.30/4.42 inference(rewrite,[status(thm)],[])).
% 6.30/4.42 tff(2605,plain,
% 6.30/4.42 (((~![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(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))))))),
% 6.30/4.43 inference(monotonicity,[status(thm)],[2604])).
% 6.30/4.43 tff(2606,plain,
% 6.30/4.43 (((~![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(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)))))),
% 6.30/4.43 inference(transitivity,[status(thm)],[2605, 2603])).
% 6.30/4.43 tff(2607,plain,
% 6.30/4.43 ((~![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(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2608,plain,
% 6.30/4.43 ((~![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(constB41) | (~nextState(constB40, constB41)) | (~(((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))))),
% 6.30/4.43 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 6.30/4.43 tff(2609,plain,
% 6.30/4.43 (v100(constB41) | (~(((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2608, 2579, 482])).
% 6.30/4.43 tff(2610,plain,
% 6.30/4.43 (~(((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2609, 2602])).
% 6.30/4.43 tff(2611,plain,
% 6.30/4.43 ((((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))) | (~((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)))),
% 6.30/4.43 inference(tautology,[status(thm)],[])).
% 6.30/4.43 tff(2612,plain,
% 6.30/4.43 (~((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2611, 2610])).
% 6.30/4.43 tff(2613,plain,
% 6.30/4.43 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2614,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39')).
% 6.30/4.43 tff(2615,plain,
% 6.30/4.43 (nextState(constB39, constB40)),
% 6.30/4.43 inference(modus_ponens,[status(thm)],[2614, 2613])).
% 6.30/4.43 tff(2616,plain,
% 6.30/4.43 (((~![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(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)))))),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2617,plain,
% 6.30/4.43 ((~![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(constB39, constB40)) | (~(((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0)))))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2618,plain,
% 6.30/4.43 ((~![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(constB39, constB40)) | (~(((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0))))),
% 6.30/4.43 inference(modus_ponens,[status(thm)],[2617, 2616])).
% 6.30/4.43 tff(2619,plain,
% 6.30/4.43 (~(((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0)))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2618, 2615, 505])).
% 6.30/4.43 tff(2620,plain,
% 6.30/4.43 ((((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0))) | (~((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)))),
% 6.30/4.43 inference(tautology,[status(thm)],[])).
% 6.30/4.43 tff(2621,plain,
% 6.30/4.43 (~((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2620, 2619])).
% 6.30/4.43 tff(2622,plain,
% 6.30/4.43 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB39) <=> v26(constB39))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2623,plain,
% 6.30/4.43 (v111(constB39) <=> v26(constB39)),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2622, 524])).
% 6.30/4.43 tff(2624,plain,
% 6.30/4.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2625,plain,
% 6.30/4.43 (~v26(constB39)),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2624, 536])).
% 6.30/4.43 tff(2626,plain,
% 6.30/4.43 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39)) | v26(constB39)),
% 6.30/4.43 inference(tautology,[status(thm)],[])).
% 6.30/4.43 tff(2627,plain,
% 6.30/4.43 ((~(v111(constB39) <=> v26(constB39))) | (~v111(constB39))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2626, 2625])).
% 6.30/4.43 tff(2628,plain,
% 6.30/4.43 (~v111(constB39)),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2627, 2623])).
% 6.30/4.43 tff(2629,plain,
% 6.30/4.43 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB39) | (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB39) | (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)))))),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2630,plain,
% 6.30/4.43 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB39) | (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)))))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2631,plain,
% 6.30/4.43 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB39) | (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1))))),
% 6.30/4.43 inference(modus_ponens,[status(thm)],[2630, 2629])).
% 6.30/4.43 tff(2632,plain,
% 6.30/4.43 (v111(constB39) | (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1))))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2631, 554])).
% 6.30/4.43 tff(2633,plain,
% 6.30/4.43 (~(((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2632, 2628])).
% 6.30/4.43 tff(2634,plain,
% 6.30/4.43 ((((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1))) | (~((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)))),
% 6.30/4.43 inference(tautology,[status(thm)],[])).
% 6.30/4.43 tff(2635,plain,
% 6.30/4.43 (~((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2634, 2633])).
% 6.30/4.43 tff(2636,plain,
% 6.30/4.43 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB39) <=> (~(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0)))))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2637,plain,
% 6.30/4.43 (v120(constB39) <=> (~(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0))))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2636, 653])).
% 6.30/4.43 tff(2638,plain,
% 6.30/4.43 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2639,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38')).
% 6.30/4.43 tff(2640,plain,
% 6.30/4.43 (nextState(constB38, constB39)),
% 6.30/4.43 inference(modus_ponens,[status(thm)],[2639, 2638])).
% 6.30/4.43 tff(2641,plain,
% 6.30/4.43 (((~![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))))))),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2642,plain,
% 6.30/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2643,plain,
% 6.30/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB38, constB39)) | (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))),
% 6.30/4.43 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 6.30/4.43 tff(2644,plain,
% 6.30/4.43 (v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39))))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2643, 2640, 433])).
% 6.30/4.43 tff(2645,plain,
% 6.30/4.43 (((~![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))))))),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2646,plain,
% 6.30/4.43 (((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39)))))) <=> ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))))),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2647,plain,
% 6.30/4.43 (((~![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)))))))),
% 6.30/4.43 inference(monotonicity,[status(thm)],[2646])).
% 6.30/4.43 tff(2648,plain,
% 6.30/4.43 (((~![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))))))),
% 6.30/4.43 inference(transitivity,[status(thm)],[2647, 2645])).
% 6.30/4.43 tff(2649,plain,
% 6.30/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v102(constB39)) | (~v1(constB39))))))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2650,plain,
% 6.30/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))),
% 6.30/4.43 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 6.30/4.43 tff(2651,plain,
% 6.30/4.43 (v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39))))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2650, 2640, 453])).
% 6.30/4.43 tff(2652,plain,
% 6.30/4.43 ((~v1(constB39)) <=> (~v1(constB39))),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2653,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39')).
% 6.30/4.43 tff(2654,plain,
% 6.30/4.43 (~v1(constB39)),
% 6.30/4.43 inference(modus_ponens,[status(thm)],[2653, 2652])).
% 6.30/4.43 tff(2655,plain,
% 6.30/4.43 (((~v1(constB39)) | (~v102(constB39))) | v1(constB39)),
% 6.30/4.43 inference(tautology,[status(thm)],[])).
% 6.30/4.43 tff(2656,plain,
% 6.30/4.43 ((~v1(constB39)) | (~v102(constB39))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2655, 2654])).
% 6.30/4.43 tff(2657,plain,
% 6.30/4.43 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39)) | (~((~v1(constB39)) | (~v102(constB39))))),
% 6.30/4.43 inference(tautology,[status(thm)],[])).
% 6.30/4.43 tff(2658,plain,
% 6.30/4.43 ((~(v101(constB39) <=> (~((~v1(constB39)) | (~v102(constB39)))))) | (~v101(constB39))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2657, 2656])).
% 6.30/4.43 tff(2659,plain,
% 6.30/4.43 (~v101(constB39)),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2658, 2651])).
% 6.30/4.43 tff(2660,plain,
% 6.30/4.43 (((~v101(constB39)) | (~v110(constB39))) | v101(constB39)),
% 6.30/4.43 inference(tautology,[status(thm)],[])).
% 6.30/4.43 tff(2661,plain,
% 6.30/4.43 ((~v101(constB39)) | (~v110(constB39))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2660, 2659])).
% 6.30/4.43 tff(2662,plain,
% 6.30/4.43 ((~(v100(constB39) <=> (~((~v101(constB39)) | (~v110(constB39)))))) | (~v100(constB39)) | (~((~v101(constB39)) | (~v110(constB39))))),
% 6.30/4.43 inference(tautology,[status(thm)],[])).
% 6.30/4.43 tff(2663,plain,
% 6.30/4.43 (~v100(constB39)),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2662, 2661, 2644])).
% 6.30/4.43 tff(2664,plain,
% 6.30/4.43 (((~![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(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)))))),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2665,plain,
% 6.30/4.43 ((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)))))),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2666,plain,
% 6.30/4.43 (((~![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(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))))))),
% 6.30/4.43 inference(monotonicity,[status(thm)],[2665])).
% 6.30/4.43 tff(2667,plain,
% 6.30/4.43 (((~![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(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)))))),
% 6.30/4.43 inference(transitivity,[status(thm)],[2666, 2664])).
% 6.30/4.43 tff(2668,plain,
% 6.30/4.43 ((~![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(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2669,plain,
% 6.30/4.43 ((~![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(constB39) | (~nextState(constB38, constB39)) | (~(((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))))),
% 6.30/4.43 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 6.30/4.43 tff(2670,plain,
% 6.30/4.43 (v100(constB39) | (~(((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2669, 2640, 482])).
% 6.30/4.43 tff(2671,plain,
% 6.30/4.43 (~(((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2670, 2663])).
% 6.30/4.43 tff(2672,plain,
% 6.30/4.43 ((((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))) | (~((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)))),
% 6.30/4.43 inference(tautology,[status(thm)],[])).
% 6.30/4.43 tff(2673,plain,
% 6.30/4.43 (~((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2672, 2671])).
% 6.30/4.43 tff(2674,plain,
% 6.30/4.43 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2675,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37')).
% 6.30/4.43 tff(2676,plain,
% 6.30/4.43 (nextState(constB37, constB38)),
% 6.30/4.43 inference(modus_ponens,[status(thm)],[2675, 2674])).
% 6.30/4.43 tff(2677,plain,
% 6.30/4.43 (((~![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(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)))))),
% 6.30/4.43 inference(rewrite,[status(thm)],[])).
% 6.30/4.43 tff(2678,plain,
% 6.30/4.43 ((~![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(constB37, constB38)) | (~(((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0)))))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2679,plain,
% 6.30/4.43 ((~![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(constB37, constB38)) | (~(((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0))))),
% 6.30/4.43 inference(modus_ponens,[status(thm)],[2678, 2677])).
% 6.30/4.43 tff(2680,plain,
% 6.30/4.43 (~(((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0)))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2679, 2676, 505])).
% 6.30/4.43 tff(2681,plain,
% 6.30/4.43 ((((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0))) | (~((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)))),
% 6.30/4.43 inference(tautology,[status(thm)],[])).
% 6.30/4.43 tff(2682,plain,
% 6.30/4.43 (~((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2681, 2680])).
% 6.30/4.43 tff(2683,plain,
% 6.30/4.43 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB37) <=> v26(constB37))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2684,plain,
% 6.30/4.43 (v111(constB37) <=> v26(constB37)),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2683, 524])).
% 6.30/4.43 tff(2685,plain,
% 6.30/4.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 6.30/4.43 inference(quant_inst,[status(thm)],[])).
% 6.30/4.43 tff(2686,plain,
% 6.30/4.43 (~v26(constB37)),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2685, 536])).
% 6.30/4.43 tff(2687,plain,
% 6.30/4.43 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37)) | v26(constB37)),
% 6.30/4.43 inference(tautology,[status(thm)],[])).
% 6.30/4.43 tff(2688,plain,
% 6.30/4.43 ((~(v111(constB37) <=> v26(constB37))) | (~v111(constB37))),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2687, 2686])).
% 6.30/4.43 tff(2689,plain,
% 6.30/4.43 (~v111(constB37)),
% 6.30/4.43 inference(unit_resolution,[status(thm)],[2688, 2684])).
% 6.30/4.43 tff(2690,plain,
% 6.30/4.43 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB37) | (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB37) | (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2691,plain,
% 6.30/4.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB37) | (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)))))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2692,plain,
% 6.30/4.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB37) | (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1))))),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2691, 2690])).
% 6.30/4.44 tff(2693,plain,
% 6.30/4.44 (v111(constB37) | (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1))))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2692, 554])).
% 6.30/4.44 tff(2694,plain,
% 6.30/4.44 (~(((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2693, 2689])).
% 6.30/4.44 tff(2695,plain,
% 6.30/4.44 ((((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1))) | (~((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)))),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2696,plain,
% 6.30/4.44 (~((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2695, 2694])).
% 6.30/4.44 tff(2697,plain,
% 6.30/4.44 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2698,plain,
% 6.30/4.44 (v119(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2697, 727])).
% 6.30/4.44 tff(2699,plain,
% 6.30/4.44 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2700,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36')).
% 6.30/4.44 tff(2701,plain,
% 6.30/4.44 (nextState(constB36, constB37)),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2700, 2699])).
% 6.30/4.44 tff(2702,plain,
% 6.30/4.44 (((~![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))))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2703,plain,
% 6.30/4.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2704,plain,
% 6.30/4.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB36, constB37)) | (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2703, 2702])).
% 6.30/4.44 tff(2705,plain,
% 6.30/4.44 (v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37))))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2704, 2701, 433])).
% 6.30/4.44 tff(2706,plain,
% 6.30/4.44 (((~![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))))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2707,plain,
% 6.30/4.44 (((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37)))))) <=> ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2708,plain,
% 6.30/4.44 (((~![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)))))))),
% 6.30/4.44 inference(monotonicity,[status(thm)],[2707])).
% 6.30/4.44 tff(2709,plain,
% 6.30/4.44 (((~![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))))))),
% 6.30/4.44 inference(transitivity,[status(thm)],[2708, 2706])).
% 6.30/4.44 tff(2710,plain,
% 6.30/4.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v102(constB37)) | (~v1(constB37))))))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2711,plain,
% 6.30/4.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2710, 2709])).
% 6.30/4.44 tff(2712,plain,
% 6.30/4.44 (v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37))))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2711, 2701, 453])).
% 6.30/4.44 tff(2713,plain,
% 6.30/4.44 ((~v1(constB37)) <=> (~v1(constB37))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2714,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37')).
% 6.30/4.44 tff(2715,plain,
% 6.30/4.44 (~v1(constB37)),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2714, 2713])).
% 6.30/4.44 tff(2716,plain,
% 6.30/4.44 (((~v1(constB37)) | (~v102(constB37))) | v1(constB37)),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2717,plain,
% 6.30/4.44 ((~v1(constB37)) | (~v102(constB37))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2716, 2715])).
% 6.30/4.44 tff(2718,plain,
% 6.30/4.44 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37)) | (~((~v1(constB37)) | (~v102(constB37))))),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2719,plain,
% 6.30/4.44 ((~(v101(constB37) <=> (~((~v1(constB37)) | (~v102(constB37)))))) | (~v101(constB37))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2718, 2717])).
% 6.30/4.44 tff(2720,plain,
% 6.30/4.44 (~v101(constB37)),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2719, 2712])).
% 6.30/4.44 tff(2721,plain,
% 6.30/4.44 (((~v101(constB37)) | (~v110(constB37))) | v101(constB37)),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2722,plain,
% 6.30/4.44 ((~v101(constB37)) | (~v110(constB37))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2721, 2720])).
% 6.30/4.44 tff(2723,plain,
% 6.30/4.44 ((~(v100(constB37) <=> (~((~v101(constB37)) | (~v110(constB37)))))) | (~v100(constB37)) | (~((~v101(constB37)) | (~v110(constB37))))),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2724,plain,
% 6.30/4.44 (~v100(constB37)),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2723, 2722, 2705])).
% 6.30/4.44 tff(2725,plain,
% 6.30/4.44 (((~![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(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)))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2726,plain,
% 6.30/4.44 ((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)))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2727,plain,
% 6.30/4.44 (((~![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(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))))))),
% 6.30/4.44 inference(monotonicity,[status(thm)],[2726])).
% 6.30/4.44 tff(2728,plain,
% 6.30/4.44 (((~![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(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)))))),
% 6.30/4.44 inference(transitivity,[status(thm)],[2727, 2725])).
% 6.30/4.44 tff(2729,plain,
% 6.30/4.44 ((~![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(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2730,plain,
% 6.30/4.44 ((~![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(constB37) | (~nextState(constB36, constB37)) | (~(((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))))),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2729, 2728])).
% 6.30/4.44 tff(2731,plain,
% 6.30/4.44 (v100(constB37) | (~(((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2730, 2701, 482])).
% 6.30/4.44 tff(2732,plain,
% 6.30/4.44 (~(((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2731, 2724])).
% 6.30/4.44 tff(2733,plain,
% 6.30/4.44 ((((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))) | (~((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)))),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2734,plain,
% 6.30/4.44 (~((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2733, 2732])).
% 6.30/4.44 tff(2735,plain,
% 6.30/4.44 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2736,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35')).
% 6.30/4.44 tff(2737,plain,
% 6.30/4.44 (nextState(constB35, constB36)),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 6.30/4.44 tff(2738,plain,
% 6.30/4.44 (((~![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(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)))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2739,plain,
% 6.30/4.44 ((~![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(constB35, constB36)) | (~(((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0)))))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2740,plain,
% 6.30/4.44 ((~![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(constB35, constB36)) | (~(((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0))))),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2739, 2738])).
% 6.30/4.44 tff(2741,plain,
% 6.30/4.44 (~(((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0)))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2740, 2737, 505])).
% 6.30/4.44 tff(2742,plain,
% 6.30/4.44 ((((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0))) | (~((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)))),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2743,plain,
% 6.30/4.44 (~((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2742, 2741])).
% 6.30/4.44 tff(2744,plain,
% 6.30/4.44 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB35) <=> v26(constB35))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2745,plain,
% 6.30/4.44 (v111(constB35) <=> v26(constB35)),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2744, 524])).
% 6.30/4.44 tff(2746,plain,
% 6.30/4.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2747,plain,
% 6.30/4.44 (~v26(constB35)),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2746, 536])).
% 6.30/4.44 tff(2748,plain,
% 6.30/4.44 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35)) | v26(constB35)),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2749,plain,
% 6.30/4.44 ((~(v111(constB35) <=> v26(constB35))) | (~v111(constB35))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2748, 2747])).
% 6.30/4.44 tff(2750,plain,
% 6.30/4.44 (~v111(constB35)),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2749, 2745])).
% 6.30/4.44 tff(2751,plain,
% 6.30/4.44 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB35) | (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB35) | (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2752,plain,
% 6.30/4.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB35) | (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)))))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2753,plain,
% 6.30/4.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB35) | (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1))))),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 6.30/4.44 tff(2754,plain,
% 6.30/4.44 (v111(constB35) | (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1))))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2753, 554])).
% 6.30/4.44 tff(2755,plain,
% 6.30/4.44 (~(((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2754, 2750])).
% 6.30/4.44 tff(2756,plain,
% 6.30/4.44 ((((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1))) | (~((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)))),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2757,plain,
% 6.30/4.44 (~((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2756, 2755])).
% 6.30/4.44 tff(2758,plain,
% 6.30/4.44 (((~![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))))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2759,plain,
% 6.30/4.44 ((v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2))))) <=> (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0)))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2760,plain,
% 6.30/4.44 (((~![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))))))),
% 6.30/4.44 inference(monotonicity,[status(thm)],[2759])).
% 6.30/4.44 tff(2761,plain,
% 6.30/4.44 (((~![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))))))),
% 6.30/4.44 inference(transitivity,[status(thm)],[2760, 2758])).
% 6.30/4.44 tff(2762,plain,
% 6.30/4.44 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex0)) | (~v90(constB35, bitIndex2)))))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2763,plain,
% 6.30/4.44 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0)))))),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2762, 2761])).
% 6.30/4.44 tff(2764,plain,
% 6.30/4.44 (v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0))))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2763, 801])).
% 6.30/4.44 tff(2765,plain,
% 6.30/4.44 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2766,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34')).
% 6.30/4.44 tff(2767,plain,
% 6.30/4.44 (nextState(constB34, constB35)),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2766, 2765])).
% 6.30/4.44 tff(2768,plain,
% 6.30/4.44 (((~![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))))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2769,plain,
% 6.30/4.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2770,plain,
% 6.30/4.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB34, constB35)) | (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2769, 2768])).
% 6.30/4.44 tff(2771,plain,
% 6.30/4.44 (v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35))))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2770, 2767, 433])).
% 6.30/4.44 tff(2772,plain,
% 6.30/4.44 (((~![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))))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2773,plain,
% 6.30/4.44 (((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35)))))) <=> ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2774,plain,
% 6.30/4.44 (((~![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)))))))),
% 6.30/4.44 inference(monotonicity,[status(thm)],[2773])).
% 6.30/4.44 tff(2775,plain,
% 6.30/4.44 (((~![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))))))),
% 6.30/4.44 inference(transitivity,[status(thm)],[2774, 2772])).
% 6.30/4.44 tff(2776,plain,
% 6.30/4.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v102(constB35)) | (~v1(constB35))))))),
% 6.30/4.44 inference(quant_inst,[status(thm)],[])).
% 6.30/4.44 tff(2777,plain,
% 6.30/4.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2776, 2775])).
% 6.30/4.44 tff(2778,plain,
% 6.30/4.44 (v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35))))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2777, 2767, 453])).
% 6.30/4.44 tff(2779,plain,
% 6.30/4.44 ((~v1(constB35)) <=> (~v1(constB35))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2780,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35')).
% 6.30/4.44 tff(2781,plain,
% 6.30/4.44 (~v1(constB35)),
% 6.30/4.44 inference(modus_ponens,[status(thm)],[2780, 2779])).
% 6.30/4.44 tff(2782,plain,
% 6.30/4.44 (((~v1(constB35)) | (~v102(constB35))) | v1(constB35)),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2783,plain,
% 6.30/4.44 ((~v1(constB35)) | (~v102(constB35))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2782, 2781])).
% 6.30/4.44 tff(2784,plain,
% 6.30/4.44 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35)) | (~((~v1(constB35)) | (~v102(constB35))))),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2785,plain,
% 6.30/4.44 ((~(v101(constB35) <=> (~((~v1(constB35)) | (~v102(constB35)))))) | (~v101(constB35))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2784, 2783])).
% 6.30/4.44 tff(2786,plain,
% 6.30/4.44 (~v101(constB35)),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2785, 2778])).
% 6.30/4.44 tff(2787,plain,
% 6.30/4.44 (((~v101(constB35)) | (~v110(constB35))) | v101(constB35)),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2788,plain,
% 6.30/4.44 ((~v101(constB35)) | (~v110(constB35))),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2787, 2786])).
% 6.30/4.44 tff(2789,plain,
% 6.30/4.44 ((~(v100(constB35) <=> (~((~v101(constB35)) | (~v110(constB35)))))) | (~v100(constB35)) | (~((~v101(constB35)) | (~v110(constB35))))),
% 6.30/4.44 inference(tautology,[status(thm)],[])).
% 6.30/4.44 tff(2790,plain,
% 6.30/4.44 (~v100(constB35)),
% 6.30/4.44 inference(unit_resolution,[status(thm)],[2789, 2788, 2771])).
% 6.30/4.44 tff(2791,plain,
% 6.30/4.44 (((~![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(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)))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2792,plain,
% 6.30/4.44 ((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)))))),
% 6.30/4.44 inference(rewrite,[status(thm)],[])).
% 6.30/4.44 tff(2793,plain,
% 6.30/4.44 (((~![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(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))))))),
% 6.30/4.45 inference(monotonicity,[status(thm)],[2792])).
% 6.30/4.45 tff(2794,plain,
% 6.30/4.45 (((~![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(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)))))),
% 6.30/4.45 inference(transitivity,[status(thm)],[2793, 2791])).
% 6.30/4.45 tff(2795,plain,
% 6.30/4.45 ((~![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(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))))),
% 6.30/4.45 inference(quant_inst,[status(thm)],[])).
% 6.30/4.45 tff(2796,plain,
% 6.30/4.45 ((~![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(constB35) | (~nextState(constB34, constB35)) | (~(((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))))),
% 6.30/4.45 inference(modus_ponens,[status(thm)],[2795, 2794])).
% 6.30/4.45 tff(2797,plain,
% 6.30/4.45 (v100(constB35) | (~(((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))))),
% 6.30/4.45 inference(unit_resolution,[status(thm)],[2796, 2767, 482])).
% 6.30/4.45 tff(2798,plain,
% 6.30/4.45 (~(((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))),
% 6.30/4.45 inference(unit_resolution,[status(thm)],[2797, 2790])).
% 6.30/4.45 tff(2799,plain,
% 6.30/4.45 ((((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))) | (~((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)))),
% 6.30/4.45 inference(tautology,[status(thm)],[])).
% 6.30/4.45 tff(2800,plain,
% 6.30/4.45 (~((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2))),
% 6.30/4.45 inference(unit_resolution,[status(thm)],[2799, 2798])).
% 6.30/4.45 tff(2801,plain,
% 6.30/4.45 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 6.30/4.45 inference(rewrite,[status(thm)],[])).
% 6.30/4.45 tff(2802,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33')).
% 6.30/4.45 tff(2803,plain,
% 6.30/4.45 (nextState(constB33, constB34)),
% 6.30/4.45 inference(modus_ponens,[status(thm)],[2802, 2801])).
% 6.30/4.45 tff(2804,plain,
% 6.30/4.45 (((~![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(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)))))),
% 6.30/4.45 inference(rewrite,[status(thm)],[])).
% 6.30/4.45 tff(2805,plain,
% 6.30/4.45 ((~![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(constB33, constB34)) | (~(((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0)))))),
% 6.30/4.45 inference(quant_inst,[status(thm)],[])).
% 6.30/4.45 tff(2806,plain,
% 6.30/4.45 ((~![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(constB33, constB34)) | (~(((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0))))),
% 6.30/4.45 inference(modus_ponens,[status(thm)],[2805, 2804])).
% 6.30/4.45 tff(2807,plain,
% 6.30/4.45 (~(((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0)))),
% 6.30/4.45 inference(unit_resolution,[status(thm)],[2806, 2803, 505])).
% 6.30/4.45 tff(2808,plain,
% 6.30/4.45 ((((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0))) | (~((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)))),
% 6.30/4.45 inference(tautology,[status(thm)],[])).
% 6.30/4.45 tff(2809,plain,
% 6.30/4.45 (~((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2))),
% 6.30/4.45 inference(unit_resolution,[status(thm)],[2808, 2807])).
% 6.30/4.45 tff(2810,plain,
% 6.30/4.45 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB33) <=> v26(constB33))),
% 6.30/4.45 inference(quant_inst,[status(thm)],[])).
% 6.30/4.45 tff(2811,plain,
% 6.30/4.45 (v111(constB33) <=> v26(constB33)),
% 6.30/4.45 inference(unit_resolution,[status(thm)],[2810, 524])).
% 6.30/4.45 tff(2812,plain,
% 6.30/4.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 6.30/4.45 inference(quant_inst,[status(thm)],[])).
% 6.30/4.45 tff(2813,plain,
% 6.30/4.45 (~v26(constB33)),
% 6.30/4.45 inference(unit_resolution,[status(thm)],[2812, 536])).
% 6.30/4.45 tff(2814,plain,
% 6.30/4.45 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33)) | v26(constB33)),
% 6.30/4.45 inference(tautology,[status(thm)],[])).
% 6.30/4.45 tff(2815,plain,
% 6.30/4.45 ((~(v111(constB33) <=> v26(constB33))) | (~v111(constB33))),
% 6.30/4.45 inference(unit_resolution,[status(thm)],[2814, 2813])).
% 6.30/4.45 tff(2816,plain,
% 6.30/4.45 (~v111(constB33)),
% 6.30/4.45 inference(unit_resolution,[status(thm)],[2815, 2811])).
% 6.30/4.45 tff(2817,plain,
% 6.30/4.45 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB33) | (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB33) | (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)))))),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2818,plain,
% 6.34/4.45 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB33) | (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)))))),
% 6.34/4.45 inference(quant_inst,[status(thm)],[])).
% 6.34/4.45 tff(2819,plain,
% 6.34/4.45 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB33) | (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1))))),
% 6.34/4.45 inference(modus_ponens,[status(thm)],[2818, 2817])).
% 6.34/4.45 tff(2820,plain,
% 6.34/4.45 (v111(constB33) | (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1))))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2819, 554])).
% 6.34/4.45 tff(2821,plain,
% 6.34/4.45 (~(((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2820, 2816])).
% 6.34/4.45 tff(2822,plain,
% 6.34/4.45 ((((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1))) | (~((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)))),
% 6.34/4.45 inference(tautology,[status(thm)],[])).
% 6.34/4.45 tff(2823,plain,
% 6.34/4.45 (~((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2822, 2821])).
% 6.34/4.45 tff(2824,plain,
% 6.34/4.45 (((~![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))))))),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2825,plain,
% 6.34/4.45 ((v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2))))) <=> (v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))))),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2826,plain,
% 6.34/4.45 (((~![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))))))),
% 6.34/4.45 inference(monotonicity,[status(thm)],[2825])).
% 6.34/4.45 tff(2827,plain,
% 6.34/4.45 (((~![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))))))),
% 6.34/4.45 inference(transitivity,[status(thm)],[2826, 2824])).
% 6.34/4.45 tff(2828,plain,
% 6.34/4.45 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)))))),
% 6.34/4.45 inference(quant_inst,[status(thm)],[])).
% 6.34/4.45 tff(2829,plain,
% 6.34/4.45 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))))),
% 6.34/4.45 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 6.34/4.45 tff(2830,plain,
% 6.34/4.45 (v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2))))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2829, 880])).
% 6.34/4.45 tff(2831,plain,
% 6.34/4.45 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2832,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32')).
% 6.34/4.45 tff(2833,plain,
% 6.34/4.45 (nextState(constB32, constB33)),
% 6.34/4.45 inference(modus_ponens,[status(thm)],[2832, 2831])).
% 6.34/4.45 tff(2834,plain,
% 6.34/4.45 (((~![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))))))),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2835,plain,
% 6.34/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))))),
% 6.34/4.45 inference(quant_inst,[status(thm)],[])).
% 6.34/4.45 tff(2836,plain,
% 6.34/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB32, constB33)) | (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))),
% 6.34/4.45 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 6.34/4.45 tff(2837,plain,
% 6.34/4.45 (v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33))))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2836, 2833, 433])).
% 6.34/4.45 tff(2838,plain,
% 6.34/4.45 (((~![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))))))),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2839,plain,
% 6.34/4.45 (((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33)))))) <=> ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))))),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2840,plain,
% 6.34/4.45 (((~![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)))))))),
% 6.34/4.45 inference(monotonicity,[status(thm)],[2839])).
% 6.34/4.45 tff(2841,plain,
% 6.34/4.45 (((~![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))))))),
% 6.34/4.45 inference(transitivity,[status(thm)],[2840, 2838])).
% 6.34/4.45 tff(2842,plain,
% 6.34/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v102(constB33)) | (~v1(constB33))))))),
% 6.34/4.45 inference(quant_inst,[status(thm)],[])).
% 6.34/4.45 tff(2843,plain,
% 6.34/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))),
% 6.34/4.45 inference(modus_ponens,[status(thm)],[2842, 2841])).
% 6.34/4.45 tff(2844,plain,
% 6.34/4.45 (v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33))))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2843, 2833, 453])).
% 6.34/4.45 tff(2845,plain,
% 6.34/4.45 ((~v1(constB33)) <=> (~v1(constB33))),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2846,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33')).
% 6.34/4.45 tff(2847,plain,
% 6.34/4.45 (~v1(constB33)),
% 6.34/4.45 inference(modus_ponens,[status(thm)],[2846, 2845])).
% 6.34/4.45 tff(2848,plain,
% 6.34/4.45 (((~v1(constB33)) | (~v102(constB33))) | v1(constB33)),
% 6.34/4.45 inference(tautology,[status(thm)],[])).
% 6.34/4.45 tff(2849,plain,
% 6.34/4.45 ((~v1(constB33)) | (~v102(constB33))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2848, 2847])).
% 6.34/4.45 tff(2850,plain,
% 6.34/4.45 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33)) | (~((~v1(constB33)) | (~v102(constB33))))),
% 6.34/4.45 inference(tautology,[status(thm)],[])).
% 6.34/4.45 tff(2851,plain,
% 6.34/4.45 ((~(v101(constB33) <=> (~((~v1(constB33)) | (~v102(constB33)))))) | (~v101(constB33))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2850, 2849])).
% 6.34/4.45 tff(2852,plain,
% 6.34/4.45 (~v101(constB33)),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2851, 2844])).
% 6.34/4.45 tff(2853,plain,
% 6.34/4.45 (((~v101(constB33)) | (~v110(constB33))) | v101(constB33)),
% 6.34/4.45 inference(tautology,[status(thm)],[])).
% 6.34/4.45 tff(2854,plain,
% 6.34/4.45 ((~v101(constB33)) | (~v110(constB33))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2853, 2852])).
% 6.34/4.45 tff(2855,plain,
% 6.34/4.45 ((~(v100(constB33) <=> (~((~v101(constB33)) | (~v110(constB33)))))) | (~v100(constB33)) | (~((~v101(constB33)) | (~v110(constB33))))),
% 6.34/4.45 inference(tautology,[status(thm)],[])).
% 6.34/4.45 tff(2856,plain,
% 6.34/4.45 (~v100(constB33)),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2855, 2854, 2837])).
% 6.34/4.45 tff(2857,plain,
% 6.34/4.45 (((~![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(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)))))),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2858,plain,
% 6.34/4.45 ((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)))))),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2859,plain,
% 6.34/4.45 (((~![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(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))))))),
% 6.34/4.45 inference(monotonicity,[status(thm)],[2858])).
% 6.34/4.45 tff(2860,plain,
% 6.34/4.45 (((~![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(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)))))),
% 6.34/4.45 inference(transitivity,[status(thm)],[2859, 2857])).
% 6.34/4.45 tff(2861,plain,
% 6.34/4.45 ((~![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(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))))),
% 6.34/4.45 inference(quant_inst,[status(thm)],[])).
% 6.34/4.45 tff(2862,plain,
% 6.34/4.45 ((~![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(constB33) | (~nextState(constB32, constB33)) | (~(((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))))),
% 6.34/4.45 inference(modus_ponens,[status(thm)],[2861, 2860])).
% 6.34/4.45 tff(2863,plain,
% 6.34/4.45 (v100(constB33) | (~(((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2862, 2833, 482])).
% 6.34/4.45 tff(2864,plain,
% 6.34/4.45 (~(((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2863, 2856])).
% 6.34/4.45 tff(2865,plain,
% 6.34/4.45 ((((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))) | (~((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)))),
% 6.34/4.45 inference(tautology,[status(thm)],[])).
% 6.34/4.45 tff(2866,plain,
% 6.34/4.45 (~((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2865, 2864])).
% 6.34/4.45 tff(2867,plain,
% 6.34/4.45 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2868,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31')).
% 6.34/4.45 tff(2869,plain,
% 6.34/4.45 (nextState(constB31, constB32)),
% 6.34/4.45 inference(modus_ponens,[status(thm)],[2868, 2867])).
% 6.34/4.45 tff(2870,plain,
% 6.34/4.45 (((~![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(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)))))),
% 6.34/4.45 inference(rewrite,[status(thm)],[])).
% 6.34/4.45 tff(2871,plain,
% 6.34/4.45 ((~![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(constB31, constB32)) | (~(((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0)))))),
% 6.34/4.45 inference(quant_inst,[status(thm)],[])).
% 6.34/4.45 tff(2872,plain,
% 6.34/4.45 ((~![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(constB31, constB32)) | (~(((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0))))),
% 6.34/4.45 inference(modus_ponens,[status(thm)],[2871, 2870])).
% 6.34/4.45 tff(2873,plain,
% 6.34/4.45 (~(((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0)))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2872, 2869, 505])).
% 6.34/4.45 tff(2874,plain,
% 6.34/4.45 ((((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0))) | (~((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)))),
% 6.34/4.45 inference(tautology,[status(thm)],[])).
% 6.34/4.45 tff(2875,plain,
% 6.34/4.45 (~((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2))),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2874, 2873])).
% 6.34/4.45 tff(2876,plain,
% 6.34/4.45 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB31) <=> v26(constB31))),
% 6.34/4.45 inference(quant_inst,[status(thm)],[])).
% 6.34/4.45 tff(2877,plain,
% 6.34/4.45 (v111(constB31) <=> v26(constB31)),
% 6.34/4.45 inference(unit_resolution,[status(thm)],[2876, 524])).
% 6.34/4.46 tff(2878,plain,
% 6.34/4.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 6.34/4.46 inference(quant_inst,[status(thm)],[])).
% 6.34/4.46 tff(2879,plain,
% 6.34/4.46 (~v26(constB31)),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2878, 536])).
% 6.34/4.46 tff(2880,plain,
% 6.34/4.46 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31)) | v26(constB31)),
% 6.34/4.46 inference(tautology,[status(thm)],[])).
% 6.34/4.46 tff(2881,plain,
% 6.34/4.46 ((~(v111(constB31) <=> v26(constB31))) | (~v111(constB31))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2880, 2879])).
% 6.34/4.46 tff(2882,plain,
% 6.34/4.46 (~v111(constB31)),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2881, 2877])).
% 6.34/4.46 tff(2883,plain,
% 6.34/4.46 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB31) | (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB31) | (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2884,plain,
% 6.34/4.46 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB31) | (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)))))),
% 6.34/4.46 inference(quant_inst,[status(thm)],[])).
% 6.34/4.46 tff(2885,plain,
% 6.34/4.46 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB31) | (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1))))),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2884, 2883])).
% 6.34/4.46 tff(2886,plain,
% 6.34/4.46 (v111(constB31) | (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1))))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2885, 554])).
% 6.34/4.46 tff(2887,plain,
% 6.34/4.46 (~(((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2886, 2882])).
% 6.34/4.46 tff(2888,plain,
% 6.34/4.46 ((((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1))) | (~((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)))),
% 6.34/4.46 inference(tautology,[status(thm)],[])).
% 6.34/4.46 tff(2889,plain,
% 6.34/4.46 (~((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2888, 2887])).
% 6.34/4.46 tff(2890,plain,
% 6.34/4.46 (((~![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))))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2891,plain,
% 6.34/4.46 ((v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1))))) <=> (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2892,plain,
% 6.34/4.46 (((~![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))))))),
% 6.34/4.46 inference(monotonicity,[status(thm)],[2891])).
% 6.34/4.46 tff(2893,plain,
% 6.34/4.46 (((~![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))))))),
% 6.34/4.46 inference(transitivity,[status(thm)],[2892, 2890])).
% 6.34/4.46 tff(2894,plain,
% 6.34/4.46 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)))))),
% 6.34/4.46 inference(quant_inst,[status(thm)],[])).
% 6.34/4.46 tff(2895,plain,
% 6.34/4.46 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 6.34/4.46 tff(2896,plain,
% 6.34/4.46 (v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2895, 959])).
% 6.34/4.46 tff(2897,plain,
% 6.34/4.46 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2898,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30')).
% 6.34/4.46 tff(2899,plain,
% 6.34/4.46 (nextState(constB30, constB31)),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2898, 2897])).
% 6.34/4.46 tff(2900,plain,
% 6.34/4.46 (((~![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))))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2901,plain,
% 6.34/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))))),
% 6.34/4.46 inference(quant_inst,[status(thm)],[])).
% 6.34/4.46 tff(2902,plain,
% 6.34/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB30, constB31)) | (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2901, 2900])).
% 6.34/4.46 tff(2903,plain,
% 6.34/4.46 (v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31))))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2902, 2899, 433])).
% 6.34/4.46 tff(2904,plain,
% 6.34/4.46 (((~![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))))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2905,plain,
% 6.34/4.46 (((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31)))))) <=> ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2906,plain,
% 6.34/4.46 (((~![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)))))))),
% 6.34/4.46 inference(monotonicity,[status(thm)],[2905])).
% 6.34/4.46 tff(2907,plain,
% 6.34/4.46 (((~![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))))))),
% 6.34/4.46 inference(transitivity,[status(thm)],[2906, 2904])).
% 6.34/4.46 tff(2908,plain,
% 6.34/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v102(constB31)) | (~v1(constB31))))))),
% 6.34/4.46 inference(quant_inst,[status(thm)],[])).
% 6.34/4.46 tff(2909,plain,
% 6.34/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2908, 2907])).
% 6.34/4.46 tff(2910,plain,
% 6.34/4.46 (v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31))))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2909, 2899, 453])).
% 6.34/4.46 tff(2911,plain,
% 6.34/4.46 ((~v1(constB31)) <=> (~v1(constB31))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2912,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31')).
% 6.34/4.46 tff(2913,plain,
% 6.34/4.46 (~v1(constB31)),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2912, 2911])).
% 6.34/4.46 tff(2914,plain,
% 6.34/4.46 (((~v1(constB31)) | (~v102(constB31))) | v1(constB31)),
% 6.34/4.46 inference(tautology,[status(thm)],[])).
% 6.34/4.46 tff(2915,plain,
% 6.34/4.46 ((~v1(constB31)) | (~v102(constB31))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2914, 2913])).
% 6.34/4.46 tff(2916,plain,
% 6.34/4.46 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31)) | (~((~v1(constB31)) | (~v102(constB31))))),
% 6.34/4.46 inference(tautology,[status(thm)],[])).
% 6.34/4.46 tff(2917,plain,
% 6.34/4.46 ((~(v101(constB31) <=> (~((~v1(constB31)) | (~v102(constB31)))))) | (~v101(constB31))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2916, 2915])).
% 6.34/4.46 tff(2918,plain,
% 6.34/4.46 (~v101(constB31)),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2917, 2910])).
% 6.34/4.46 tff(2919,plain,
% 6.34/4.46 (((~v101(constB31)) | (~v110(constB31))) | v101(constB31)),
% 6.34/4.46 inference(tautology,[status(thm)],[])).
% 6.34/4.46 tff(2920,plain,
% 6.34/4.46 ((~v101(constB31)) | (~v110(constB31))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2919, 2918])).
% 6.34/4.46 tff(2921,plain,
% 6.34/4.46 ((~(v100(constB31) <=> (~((~v101(constB31)) | (~v110(constB31)))))) | (~v100(constB31)) | (~((~v101(constB31)) | (~v110(constB31))))),
% 6.34/4.46 inference(tautology,[status(thm)],[])).
% 6.34/4.46 tff(2922,plain,
% 6.34/4.46 (~v100(constB31)),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2921, 2920, 2903])).
% 6.34/4.46 tff(2923,plain,
% 6.34/4.46 (((~![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(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)))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2924,plain,
% 6.34/4.46 ((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)))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2925,plain,
% 6.34/4.46 (((~![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(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))))))),
% 6.34/4.46 inference(monotonicity,[status(thm)],[2924])).
% 6.34/4.46 tff(2926,plain,
% 6.34/4.46 (((~![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(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)))))),
% 6.34/4.46 inference(transitivity,[status(thm)],[2925, 2923])).
% 6.34/4.46 tff(2927,plain,
% 6.34/4.46 ((~![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(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))))),
% 6.34/4.46 inference(quant_inst,[status(thm)],[])).
% 6.34/4.46 tff(2928,plain,
% 6.34/4.46 ((~![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(constB31) | (~nextState(constB30, constB31)) | (~(((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))))),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2927, 2926])).
% 6.34/4.46 tff(2929,plain,
% 6.34/4.46 (v100(constB31) | (~(((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2928, 2899, 482])).
% 6.34/4.46 tff(2930,plain,
% 6.34/4.46 (~(((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2929, 2922])).
% 6.34/4.46 tff(2931,plain,
% 6.34/4.46 ((((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))) | (~((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)))),
% 6.34/4.46 inference(tautology,[status(thm)],[])).
% 6.34/4.46 tff(2932,plain,
% 6.34/4.46 (~((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2931, 2930])).
% 6.34/4.46 tff(2933,plain,
% 6.34/4.46 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2934,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29')).
% 6.34/4.46 tff(2935,plain,
% 6.34/4.46 (nextState(constB29, constB30)),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2934, 2933])).
% 6.34/4.46 tff(2936,plain,
% 6.34/4.46 (((~![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(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)))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2937,plain,
% 6.34/4.46 ((~![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(constB29, constB30)) | (~(((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0)))))),
% 6.34/4.46 inference(quant_inst,[status(thm)],[])).
% 6.34/4.46 tff(2938,plain,
% 6.34/4.46 ((~![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(constB29, constB30)) | (~(((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0))))),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2937, 2936])).
% 6.34/4.46 tff(2939,plain,
% 6.34/4.46 (~(((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0)))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2938, 2935, 505])).
% 6.34/4.46 tff(2940,plain,
% 6.34/4.46 ((((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0))) | (~((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)))),
% 6.34/4.46 inference(tautology,[status(thm)],[])).
% 6.34/4.46 tff(2941,plain,
% 6.34/4.46 (~((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2940, 2939])).
% 6.34/4.46 tff(2942,plain,
% 6.34/4.46 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB29) <=> v26(constB29))),
% 6.34/4.46 inference(quant_inst,[status(thm)],[])).
% 6.34/4.46 tff(2943,plain,
% 6.34/4.46 (v111(constB29) <=> v26(constB29)),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2942, 524])).
% 6.34/4.46 tff(2944,plain,
% 6.34/4.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 6.34/4.46 inference(quant_inst,[status(thm)],[])).
% 6.34/4.46 tff(2945,plain,
% 6.34/4.46 (~v26(constB29)),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2944, 536])).
% 6.34/4.46 tff(2946,plain,
% 6.34/4.46 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29)) | v26(constB29)),
% 6.34/4.46 inference(tautology,[status(thm)],[])).
% 6.34/4.46 tff(2947,plain,
% 6.34/4.46 ((~(v111(constB29) <=> v26(constB29))) | (~v111(constB29))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2946, 2945])).
% 6.34/4.46 tff(2948,plain,
% 6.34/4.46 (~v111(constB29)),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2947, 2943])).
% 6.34/4.46 tff(2949,plain,
% 6.34/4.46 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB29) | (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB29) | (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2950,plain,
% 6.34/4.46 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB29) | (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)))))),
% 6.34/4.46 inference(quant_inst,[status(thm)],[])).
% 6.34/4.46 tff(2951,plain,
% 6.34/4.46 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB29) | (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1))))),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2950, 2949])).
% 6.34/4.46 tff(2952,plain,
% 6.34/4.46 (v111(constB29) | (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1))))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2951, 554])).
% 6.34/4.46 tff(2953,plain,
% 6.34/4.46 (~(((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2952, 2948])).
% 6.34/4.46 tff(2954,plain,
% 6.34/4.46 ((((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1))) | (~((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)))),
% 6.34/4.46 inference(tautology,[status(thm)],[])).
% 6.34/4.46 tff(2955,plain,
% 6.34/4.46 (~((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2954, 2953])).
% 6.34/4.46 tff(2956,plain,
% 6.34/4.46 (((~![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))))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2957,plain,
% 6.34/4.46 ((v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1))))) <=> (v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))))),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2958,plain,
% 6.34/4.46 (((~![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))))))),
% 6.34/4.46 inference(monotonicity,[status(thm)],[2957])).
% 6.34/4.46 tff(2959,plain,
% 6.34/4.46 (((~![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))))))),
% 6.34/4.46 inference(transitivity,[status(thm)],[2958, 2956])).
% 6.34/4.46 tff(2960,plain,
% 6.34/4.46 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex0) | v90(constB29, bitIndex2) | (~v90(constB29, bitIndex1)))))),
% 6.34/4.46 inference(quant_inst,[status(thm)],[])).
% 6.34/4.46 tff(2961,plain,
% 6.34/4.46 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))))),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2960, 2959])).
% 6.34/4.46 tff(2962,plain,
% 6.34/4.46 (v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1))))),
% 6.34/4.46 inference(unit_resolution,[status(thm)],[2961, 574])).
% 6.34/4.46 tff(2963,plain,
% 6.34/4.46 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 6.34/4.46 inference(rewrite,[status(thm)],[])).
% 6.34/4.46 tff(2964,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28')).
% 6.34/4.46 tff(2965,plain,
% 6.34/4.46 (nextState(constB28, constB29)),
% 6.34/4.46 inference(modus_ponens,[status(thm)],[2964, 2963])).
% 6.34/4.46 tff(2966,plain,
% 6.34/4.46 (((~![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))))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(2967,plain,
% 6.34/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))))),
% 6.34/4.47 inference(quant_inst,[status(thm)],[])).
% 6.34/4.47 tff(2968,plain,
% 6.34/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB28, constB29)) | (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[2967, 2966])).
% 6.34/4.47 tff(2969,plain,
% 6.34/4.47 (v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29))))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[2968, 2965, 433])).
% 6.34/4.47 tff(2970,plain,
% 6.34/4.47 (((~![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))))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(2971,plain,
% 6.34/4.47 (((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29)))))) <=> ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(2972,plain,
% 6.34/4.47 (((~![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)))))))),
% 6.34/4.47 inference(monotonicity,[status(thm)],[2971])).
% 6.34/4.47 tff(2973,plain,
% 6.34/4.47 (((~![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))))))),
% 6.34/4.47 inference(transitivity,[status(thm)],[2972, 2970])).
% 6.34/4.47 tff(2974,plain,
% 6.34/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v102(constB29)) | (~v1(constB29))))))),
% 6.34/4.47 inference(quant_inst,[status(thm)],[])).
% 6.34/4.47 tff(2975,plain,
% 6.34/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[2974, 2973])).
% 6.34/4.47 tff(2976,plain,
% 6.34/4.47 (v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29))))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[2975, 2965, 453])).
% 6.34/4.47 tff(2977,plain,
% 6.34/4.47 ((~v1(constB29)) <=> (~v1(constB29))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(2978,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29')).
% 6.34/4.47 tff(2979,plain,
% 6.34/4.47 (~v1(constB29)),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 6.34/4.47 tff(2980,plain,
% 6.34/4.47 (((~v1(constB29)) | (~v102(constB29))) | v1(constB29)),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(2981,plain,
% 6.34/4.47 ((~v1(constB29)) | (~v102(constB29))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[2980, 2979])).
% 6.34/4.47 tff(2982,plain,
% 6.34/4.47 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29)) | (~((~v1(constB29)) | (~v102(constB29))))),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(2983,plain,
% 6.34/4.47 ((~(v101(constB29) <=> (~((~v1(constB29)) | (~v102(constB29)))))) | (~v101(constB29))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[2982, 2981])).
% 6.34/4.47 tff(2984,plain,
% 6.34/4.47 (~v101(constB29)),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[2983, 2976])).
% 6.34/4.47 tff(2985,plain,
% 6.34/4.47 (((~v101(constB29)) | (~v110(constB29))) | v101(constB29)),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(2986,plain,
% 6.34/4.47 ((~v101(constB29)) | (~v110(constB29))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[2985, 2984])).
% 6.34/4.47 tff(2987,plain,
% 6.34/4.47 ((~(v100(constB29) <=> (~((~v101(constB29)) | (~v110(constB29)))))) | (~v100(constB29)) | (~((~v101(constB29)) | (~v110(constB29))))),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(2988,plain,
% 6.34/4.47 (~v100(constB29)),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[2987, 2986, 2969])).
% 6.34/4.47 tff(2989,plain,
% 6.34/4.47 (((~![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(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)))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(2990,plain,
% 6.34/4.47 ((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)))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(2991,plain,
% 6.34/4.47 (((~![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(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))))))),
% 6.34/4.47 inference(monotonicity,[status(thm)],[2990])).
% 6.34/4.47 tff(2992,plain,
% 6.34/4.47 (((~![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(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)))))),
% 6.34/4.47 inference(transitivity,[status(thm)],[2991, 2989])).
% 6.34/4.47 tff(2993,plain,
% 6.34/4.47 ((~![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(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))))),
% 6.34/4.47 inference(quant_inst,[status(thm)],[])).
% 6.34/4.47 tff(2994,plain,
% 6.34/4.47 ((~![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(constB29) | (~nextState(constB28, constB29)) | (~(((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))))),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[2993, 2992])).
% 6.34/4.47 tff(2995,plain,
% 6.34/4.47 (v100(constB29) | (~(((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[2994, 2965, 482])).
% 6.34/4.47 tff(2996,plain,
% 6.34/4.47 (~(((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[2995, 2988])).
% 6.34/4.47 tff(2997,plain,
% 6.34/4.47 ((((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))) | (~((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)))),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(2998,plain,
% 6.34/4.47 (~((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[2997, 2996])).
% 6.34/4.47 tff(2999,plain,
% 6.34/4.47 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(3000,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27')).
% 6.34/4.47 tff(3001,plain,
% 6.34/4.47 (nextState(constB27, constB28)),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[3000, 2999])).
% 6.34/4.47 tff(3002,plain,
% 6.34/4.47 (((~![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(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)))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(3003,plain,
% 6.34/4.47 ((~![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(constB27, constB28)) | (~(((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0)))))),
% 6.34/4.47 inference(quant_inst,[status(thm)],[])).
% 6.34/4.47 tff(3004,plain,
% 6.34/4.47 ((~![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(constB27, constB28)) | (~(((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0))))),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[3003, 3002])).
% 6.34/4.47 tff(3005,plain,
% 6.34/4.47 (~(((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0)))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3004, 3001, 505])).
% 6.34/4.47 tff(3006,plain,
% 6.34/4.47 ((((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0))) | (~((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)))),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(3007,plain,
% 6.34/4.47 (~((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3006, 3005])).
% 6.34/4.47 tff(3008,plain,
% 6.34/4.47 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB27) <=> v26(constB27))),
% 6.34/4.47 inference(quant_inst,[status(thm)],[])).
% 6.34/4.47 tff(3009,plain,
% 6.34/4.47 (v111(constB27) <=> v26(constB27)),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3008, 524])).
% 6.34/4.47 tff(3010,plain,
% 6.34/4.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 6.34/4.47 inference(quant_inst,[status(thm)],[])).
% 6.34/4.47 tff(3011,plain,
% 6.34/4.47 (~v26(constB27)),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3010, 536])).
% 6.34/4.47 tff(3012,plain,
% 6.34/4.47 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27)) | v26(constB27)),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(3013,plain,
% 6.34/4.47 ((~(v111(constB27) <=> v26(constB27))) | (~v111(constB27))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3012, 3011])).
% 6.34/4.47 tff(3014,plain,
% 6.34/4.47 (~v111(constB27)),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3013, 3009])).
% 6.34/4.47 tff(3015,plain,
% 6.34/4.47 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB27) | (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB27) | (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(3016,plain,
% 6.34/4.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB27) | (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)))))),
% 6.34/4.47 inference(quant_inst,[status(thm)],[])).
% 6.34/4.47 tff(3017,plain,
% 6.34/4.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB27) | (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1))))),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[3016, 3015])).
% 6.34/4.47 tff(3018,plain,
% 6.34/4.47 (v111(constB27) | (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1))))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3017, 554])).
% 6.34/4.47 tff(3019,plain,
% 6.34/4.47 (~(((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3018, 3014])).
% 6.34/4.47 tff(3020,plain,
% 6.34/4.47 ((((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1))) | (~((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)))),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(3021,plain,
% 6.34/4.47 (~((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3020, 3019])).
% 6.34/4.47 tff(3022,plain,
% 6.34/4.47 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))))),
% 6.34/4.47 inference(quant_inst,[status(thm)],[])).
% 6.34/4.47 tff(3023,plain,
% 6.34/4.47 (v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0))))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3022, 653])).
% 6.34/4.47 tff(3024,plain,
% 6.34/4.47 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(3025,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26')).
% 6.34/4.47 tff(3026,plain,
% 6.34/4.47 (nextState(constB26, constB27)),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[3025, 3024])).
% 6.34/4.47 tff(3027,plain,
% 6.34/4.47 (((~![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))))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(3028,plain,
% 6.34/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))))),
% 6.34/4.47 inference(quant_inst,[status(thm)],[])).
% 6.34/4.47 tff(3029,plain,
% 6.34/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB26, constB27)) | (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[3028, 3027])).
% 6.34/4.47 tff(3030,plain,
% 6.34/4.47 (v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27))))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3029, 3026, 433])).
% 6.34/4.47 tff(3031,plain,
% 6.34/4.47 (((~![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))))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(3032,plain,
% 6.34/4.47 (((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27)))))) <=> ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(3033,plain,
% 6.34/4.47 (((~![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)))))))),
% 6.34/4.47 inference(monotonicity,[status(thm)],[3032])).
% 6.34/4.47 tff(3034,plain,
% 6.34/4.47 (((~![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))))))),
% 6.34/4.47 inference(transitivity,[status(thm)],[3033, 3031])).
% 6.34/4.47 tff(3035,plain,
% 6.34/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v102(constB27)) | (~v1(constB27))))))),
% 6.34/4.47 inference(quant_inst,[status(thm)],[])).
% 6.34/4.47 tff(3036,plain,
% 6.34/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[3035, 3034])).
% 6.34/4.47 tff(3037,plain,
% 6.34/4.47 (v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27))))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3036, 3026, 453])).
% 6.34/4.47 tff(3038,plain,
% 6.34/4.47 ((~v1(constB27)) <=> (~v1(constB27))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(3039,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27')).
% 6.34/4.47 tff(3040,plain,
% 6.34/4.47 (~v1(constB27)),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[3039, 3038])).
% 6.34/4.47 tff(3041,plain,
% 6.34/4.47 (((~v1(constB27)) | (~v102(constB27))) | v1(constB27)),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(3042,plain,
% 6.34/4.47 ((~v1(constB27)) | (~v102(constB27))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3041, 3040])).
% 6.34/4.47 tff(3043,plain,
% 6.34/4.47 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27)) | (~((~v1(constB27)) | (~v102(constB27))))),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(3044,plain,
% 6.34/4.47 ((~(v101(constB27) <=> (~((~v1(constB27)) | (~v102(constB27)))))) | (~v101(constB27))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3043, 3042])).
% 6.34/4.47 tff(3045,plain,
% 6.34/4.47 (~v101(constB27)),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3044, 3037])).
% 6.34/4.47 tff(3046,plain,
% 6.34/4.47 (((~v101(constB27)) | (~v110(constB27))) | v101(constB27)),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(3047,plain,
% 6.34/4.47 ((~v101(constB27)) | (~v110(constB27))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3046, 3045])).
% 6.34/4.47 tff(3048,plain,
% 6.34/4.47 ((~(v100(constB27) <=> (~((~v101(constB27)) | (~v110(constB27)))))) | (~v100(constB27)) | (~((~v101(constB27)) | (~v110(constB27))))),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(3049,plain,
% 6.34/4.47 (~v100(constB27)),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3048, 3047, 3030])).
% 6.34/4.47 tff(3050,plain,
% 6.34/4.47 (((~![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(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)))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(3051,plain,
% 6.34/4.47 ((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)))))),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(3052,plain,
% 6.34/4.47 (((~![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(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))))))),
% 6.34/4.47 inference(monotonicity,[status(thm)],[3051])).
% 6.34/4.47 tff(3053,plain,
% 6.34/4.47 (((~![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(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)))))),
% 6.34/4.47 inference(transitivity,[status(thm)],[3052, 3050])).
% 6.34/4.47 tff(3054,plain,
% 6.34/4.47 ((~![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(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))))),
% 6.34/4.47 inference(quant_inst,[status(thm)],[])).
% 6.34/4.47 tff(3055,plain,
% 6.34/4.47 ((~![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(constB27) | (~nextState(constB26, constB27)) | (~(((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))))),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 6.34/4.47 tff(3056,plain,
% 6.34/4.47 (v100(constB27) | (~(((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3055, 3026, 482])).
% 6.34/4.47 tff(3057,plain,
% 6.34/4.47 (~(((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3056, 3049])).
% 6.34/4.47 tff(3058,plain,
% 6.34/4.47 ((((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))) | (~((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)))),
% 6.34/4.47 inference(tautology,[status(thm)],[])).
% 6.34/4.47 tff(3059,plain,
% 6.34/4.47 (~((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2))),
% 6.34/4.47 inference(unit_resolution,[status(thm)],[3058, 3057])).
% 6.34/4.47 tff(3060,plain,
% 6.34/4.47 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 6.34/4.47 inference(rewrite,[status(thm)],[])).
% 6.34/4.47 tff(3061,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25')).
% 6.34/4.47 tff(3062,plain,
% 6.34/4.47 (nextState(constB25, constB26)),
% 6.34/4.47 inference(modus_ponens,[status(thm)],[3061, 3060])).
% 6.34/4.47 tff(3063,plain,
% 6.34/4.47 (((~![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(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)))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3064,plain,
% 6.34/4.48 ((~![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(constB25, constB26)) | (~(((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0)))))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3065,plain,
% 6.34/4.48 ((~![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(constB25, constB26)) | (~(((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0))))),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3064, 3063])).
% 6.34/4.48 tff(3066,plain,
% 6.34/4.48 (~(((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0)))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3065, 3062, 505])).
% 6.34/4.48 tff(3067,plain,
% 6.34/4.48 ((((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0))) | (~((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)))),
% 6.34/4.48 inference(tautology,[status(thm)],[])).
% 6.34/4.48 tff(3068,plain,
% 6.34/4.48 (~((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3067, 3066])).
% 6.34/4.48 tff(3069,plain,
% 6.34/4.48 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB25) <=> v26(constB25))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3070,plain,
% 6.34/4.48 (v111(constB25) <=> v26(constB25)),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3069, 524])).
% 6.34/4.48 tff(3071,plain,
% 6.34/4.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3072,plain,
% 6.34/4.48 (~v26(constB25)),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3071, 536])).
% 6.34/4.48 tff(3073,plain,
% 6.34/4.48 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25)) | v26(constB25)),
% 6.34/4.48 inference(tautology,[status(thm)],[])).
% 6.34/4.48 tff(3074,plain,
% 6.34/4.48 ((~(v111(constB25) <=> v26(constB25))) | (~v111(constB25))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3073, 3072])).
% 6.34/4.48 tff(3075,plain,
% 6.34/4.48 (~v111(constB25)),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3074, 3070])).
% 6.34/4.48 tff(3076,plain,
% 6.34/4.48 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB25) | (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB25) | (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3077,plain,
% 6.34/4.48 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB25) | (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)))))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3078,plain,
% 6.34/4.48 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB25) | (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1))))),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3077, 3076])).
% 6.34/4.48 tff(3079,plain,
% 6.34/4.48 (v111(constB25) | (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1))))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3078, 554])).
% 6.34/4.48 tff(3080,plain,
% 6.34/4.48 (~(((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3079, 3075])).
% 6.34/4.48 tff(3081,plain,
% 6.34/4.48 ((((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1))) | (~((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)))),
% 6.34/4.48 inference(tautology,[status(thm)],[])).
% 6.34/4.48 tff(3082,plain,
% 6.34/4.48 (~((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3081, 3080])).
% 6.34/4.48 tff(3083,plain,
% 6.34/4.48 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3084,plain,
% 6.34/4.48 (v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3083, 727])).
% 6.34/4.48 tff(3085,plain,
% 6.34/4.48 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3086,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24')).
% 6.34/4.48 tff(3087,plain,
% 6.34/4.48 (nextState(constB24, constB25)),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3086, 3085])).
% 6.34/4.48 tff(3088,plain,
% 6.34/4.48 (((~![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))))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3089,plain,
% 6.34/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3090,plain,
% 6.34/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB24, constB25)) | (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 6.34/4.48 tff(3091,plain,
% 6.34/4.48 (v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25))))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3090, 3087, 433])).
% 6.34/4.48 tff(3092,plain,
% 6.34/4.48 (((~![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))))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3093,plain,
% 6.34/4.48 (((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25)))))) <=> ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3094,plain,
% 6.34/4.48 (((~![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)))))))),
% 6.34/4.48 inference(monotonicity,[status(thm)],[3093])).
% 6.34/4.48 tff(3095,plain,
% 6.34/4.48 (((~![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))))))),
% 6.34/4.48 inference(transitivity,[status(thm)],[3094, 3092])).
% 6.34/4.48 tff(3096,plain,
% 6.34/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v102(constB25)) | (~v1(constB25))))))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3097,plain,
% 6.34/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3096, 3095])).
% 6.34/4.48 tff(3098,plain,
% 6.34/4.48 (v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25))))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3097, 3087, 453])).
% 6.34/4.48 tff(3099,plain,
% 6.34/4.48 ((~v1(constB25)) <=> (~v1(constB25))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3100,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25')).
% 6.34/4.48 tff(3101,plain,
% 6.34/4.48 (~v1(constB25)),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3100, 3099])).
% 6.34/4.48 tff(3102,plain,
% 6.34/4.48 (((~v1(constB25)) | (~v102(constB25))) | v1(constB25)),
% 6.34/4.48 inference(tautology,[status(thm)],[])).
% 6.34/4.48 tff(3103,plain,
% 6.34/4.48 ((~v1(constB25)) | (~v102(constB25))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3102, 3101])).
% 6.34/4.48 tff(3104,plain,
% 6.34/4.48 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25)) | (~((~v1(constB25)) | (~v102(constB25))))),
% 6.34/4.48 inference(tautology,[status(thm)],[])).
% 6.34/4.48 tff(3105,plain,
% 6.34/4.48 ((~(v101(constB25) <=> (~((~v1(constB25)) | (~v102(constB25)))))) | (~v101(constB25))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3104, 3103])).
% 6.34/4.48 tff(3106,plain,
% 6.34/4.48 (~v101(constB25)),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3105, 3098])).
% 6.34/4.48 tff(3107,plain,
% 6.34/4.48 (((~v101(constB25)) | (~v110(constB25))) | v101(constB25)),
% 6.34/4.48 inference(tautology,[status(thm)],[])).
% 6.34/4.48 tff(3108,plain,
% 6.34/4.48 ((~v101(constB25)) | (~v110(constB25))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3107, 3106])).
% 6.34/4.48 tff(3109,plain,
% 6.34/4.48 ((~(v100(constB25) <=> (~((~v101(constB25)) | (~v110(constB25)))))) | (~v100(constB25)) | (~((~v101(constB25)) | (~v110(constB25))))),
% 6.34/4.48 inference(tautology,[status(thm)],[])).
% 6.34/4.48 tff(3110,plain,
% 6.34/4.48 (~v100(constB25)),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3109, 3108, 3091])).
% 6.34/4.48 tff(3111,plain,
% 6.34/4.48 (((~![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(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)))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3112,plain,
% 6.34/4.48 ((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)))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3113,plain,
% 6.34/4.48 (((~![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(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))))))),
% 6.34/4.48 inference(monotonicity,[status(thm)],[3112])).
% 6.34/4.48 tff(3114,plain,
% 6.34/4.48 (((~![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(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)))))),
% 6.34/4.48 inference(transitivity,[status(thm)],[3113, 3111])).
% 6.34/4.48 tff(3115,plain,
% 6.34/4.48 ((~![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(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3116,plain,
% 6.34/4.48 ((~![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(constB25) | (~nextState(constB24, constB25)) | (~(((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))))),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3115, 3114])).
% 6.34/4.48 tff(3117,plain,
% 6.34/4.48 (v100(constB25) | (~(((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3116, 3087, 482])).
% 6.34/4.48 tff(3118,plain,
% 6.34/4.48 (~(((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3117, 3110])).
% 6.34/4.48 tff(3119,plain,
% 6.34/4.48 ((((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))) | (~((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)))),
% 6.34/4.48 inference(tautology,[status(thm)],[])).
% 6.34/4.48 tff(3120,plain,
% 6.34/4.48 (~((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3119, 3118])).
% 6.34/4.48 tff(3121,plain,
% 6.34/4.48 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3122,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23')).
% 6.34/4.48 tff(3123,plain,
% 6.34/4.48 (nextState(constB23, constB24)),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3122, 3121])).
% 6.34/4.48 tff(3124,plain,
% 6.34/4.48 (((~![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(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)))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3125,plain,
% 6.34/4.48 ((~![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(constB23, constB24)) | (~(((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0)))))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3126,plain,
% 6.34/4.48 ((~![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(constB23, constB24)) | (~(((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0))))),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3125, 3124])).
% 6.34/4.48 tff(3127,plain,
% 6.34/4.48 (~(((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0)))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3126, 3123, 505])).
% 6.34/4.48 tff(3128,plain,
% 6.34/4.48 ((((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0))) | (~((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)))),
% 6.34/4.48 inference(tautology,[status(thm)],[])).
% 6.34/4.48 tff(3129,plain,
% 6.34/4.48 (~((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3128, 3127])).
% 6.34/4.48 tff(3130,plain,
% 6.34/4.48 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB23) <=> v26(constB23))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3131,plain,
% 6.34/4.48 (v111(constB23) <=> v26(constB23)),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3130, 524])).
% 6.34/4.48 tff(3132,plain,
% 6.34/4.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3133,plain,
% 6.34/4.48 (~v26(constB23)),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3132, 536])).
% 6.34/4.48 tff(3134,plain,
% 6.34/4.48 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23)) | v26(constB23)),
% 6.34/4.48 inference(tautology,[status(thm)],[])).
% 6.34/4.48 tff(3135,plain,
% 6.34/4.48 ((~(v111(constB23) <=> v26(constB23))) | (~v111(constB23))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3134, 3133])).
% 6.34/4.48 tff(3136,plain,
% 6.34/4.48 (~v111(constB23)),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3135, 3131])).
% 6.34/4.48 tff(3137,plain,
% 6.34/4.48 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB23) | (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB23) | (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3138,plain,
% 6.34/4.48 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB23) | (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)))))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3139,plain,
% 6.34/4.48 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB23) | (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1))))),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3138, 3137])).
% 6.34/4.48 tff(3140,plain,
% 6.34/4.48 (v111(constB23) | (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1))))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3139, 554])).
% 6.34/4.48 tff(3141,plain,
% 6.34/4.48 (~(((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3140, 3136])).
% 6.34/4.48 tff(3142,plain,
% 6.34/4.48 ((((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1))) | (~((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)))),
% 6.34/4.48 inference(tautology,[status(thm)],[])).
% 6.34/4.48 tff(3143,plain,
% 6.34/4.48 (~((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3142, 3141])).
% 6.34/4.48 tff(3144,plain,
% 6.34/4.48 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0))))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3145,plain,
% 6.34/4.48 ((v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex2))))) <=> (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0)))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3146,plain,
% 6.34/4.48 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0))))))),
% 6.34/4.48 inference(monotonicity,[status(thm)],[3145])).
% 6.34/4.48 tff(3147,plain,
% 6.34/4.48 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0))))))),
% 6.34/4.48 inference(transitivity,[status(thm)],[3146, 3144])).
% 6.34/4.48 tff(3148,plain,
% 6.34/4.48 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex0)) | (~v90(constB23, bitIndex2)))))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3149,plain,
% 6.34/4.48 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0)))))),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3148, 3147])).
% 6.34/4.48 tff(3150,plain,
% 6.34/4.48 (v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0))))),
% 6.34/4.48 inference(unit_resolution,[status(thm)],[3149, 801])).
% 6.34/4.48 tff(3151,plain,
% 6.34/4.48 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3152,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22')).
% 6.34/4.48 tff(3153,plain,
% 6.34/4.48 (nextState(constB22, constB23)),
% 6.34/4.48 inference(modus_ponens,[status(thm)],[3152, 3151])).
% 6.34/4.48 tff(3154,plain,
% 6.34/4.48 (((~![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))))))),
% 6.34/4.48 inference(rewrite,[status(thm)],[])).
% 6.34/4.48 tff(3155,plain,
% 6.34/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))))),
% 6.34/4.48 inference(quant_inst,[status(thm)],[])).
% 6.34/4.48 tff(3156,plain,
% 6.34/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB22, constB23)) | (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3155, 3154])).
% 6.34/4.49 tff(3157,plain,
% 6.34/4.49 (v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23))))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3156, 3153, 433])).
% 6.34/4.49 tff(3158,plain,
% 6.34/4.49 (((~![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))))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3159,plain,
% 6.34/4.49 (((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23)))))) <=> ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3160,plain,
% 6.34/4.49 (((~![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)))))))),
% 6.34/4.49 inference(monotonicity,[status(thm)],[3159])).
% 6.34/4.49 tff(3161,plain,
% 6.34/4.49 (((~![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))))))),
% 6.34/4.49 inference(transitivity,[status(thm)],[3160, 3158])).
% 6.34/4.49 tff(3162,plain,
% 6.34/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v102(constB23)) | (~v1(constB23))))))),
% 6.34/4.49 inference(quant_inst,[status(thm)],[])).
% 6.34/4.49 tff(3163,plain,
% 6.34/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3162, 3161])).
% 6.34/4.49 tff(3164,plain,
% 6.34/4.49 (v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23))))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3163, 3153, 453])).
% 6.34/4.49 tff(3165,plain,
% 6.34/4.49 ((~v1(constB23)) <=> (~v1(constB23))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3166,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23')).
% 6.34/4.49 tff(3167,plain,
% 6.34/4.49 (~v1(constB23)),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3166, 3165])).
% 6.34/4.49 tff(3168,plain,
% 6.34/4.49 (((~v1(constB23)) | (~v102(constB23))) | v1(constB23)),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3169,plain,
% 6.34/4.49 ((~v1(constB23)) | (~v102(constB23))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3168, 3167])).
% 6.34/4.49 tff(3170,plain,
% 6.34/4.49 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23)) | (~((~v1(constB23)) | (~v102(constB23))))),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3171,plain,
% 6.34/4.49 ((~(v101(constB23) <=> (~((~v1(constB23)) | (~v102(constB23)))))) | (~v101(constB23))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3170, 3169])).
% 6.34/4.49 tff(3172,plain,
% 6.34/4.49 (~v101(constB23)),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3171, 3164])).
% 6.34/4.49 tff(3173,plain,
% 6.34/4.49 (((~v101(constB23)) | (~v110(constB23))) | v101(constB23)),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3174,plain,
% 6.34/4.49 ((~v101(constB23)) | (~v110(constB23))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3173, 3172])).
% 6.34/4.49 tff(3175,plain,
% 6.34/4.49 ((~(v100(constB23) <=> (~((~v101(constB23)) | (~v110(constB23)))))) | (~v100(constB23)) | (~((~v101(constB23)) | (~v110(constB23))))),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3176,plain,
% 6.34/4.49 (~v100(constB23)),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3175, 3174, 3157])).
% 6.34/4.49 tff(3177,plain,
% 6.34/4.49 (((~![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(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)))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3178,plain,
% 6.34/4.49 ((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)))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3179,plain,
% 6.34/4.49 (((~![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(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))))))),
% 6.34/4.49 inference(monotonicity,[status(thm)],[3178])).
% 6.34/4.49 tff(3180,plain,
% 6.34/4.49 (((~![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(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)))))),
% 6.34/4.49 inference(transitivity,[status(thm)],[3179, 3177])).
% 6.34/4.49 tff(3181,plain,
% 6.34/4.49 ((~![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(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))))),
% 6.34/4.49 inference(quant_inst,[status(thm)],[])).
% 6.34/4.49 tff(3182,plain,
% 6.34/4.49 ((~![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(constB23) | (~nextState(constB22, constB23)) | (~(((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))))),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 6.34/4.49 tff(3183,plain,
% 6.34/4.49 (v100(constB23) | (~(((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3182, 3153, 482])).
% 6.34/4.49 tff(3184,plain,
% 6.34/4.49 (~(((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3183, 3176])).
% 6.34/4.49 tff(3185,plain,
% 6.34/4.49 ((((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))) | (~((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)))),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3186,plain,
% 6.34/4.49 (~((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3185, 3184])).
% 6.34/4.49 tff(3187,plain,
% 6.34/4.49 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3188,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21')).
% 6.34/4.49 tff(3189,plain,
% 6.34/4.49 (nextState(constB21, constB22)),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 6.34/4.49 tff(3190,plain,
% 6.34/4.49 (((~![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(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)))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3191,plain,
% 6.34/4.49 ((~![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(constB21, constB22)) | (~(((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0)))))),
% 6.34/4.49 inference(quant_inst,[status(thm)],[])).
% 6.34/4.49 tff(3192,plain,
% 6.34/4.49 ((~![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(constB21, constB22)) | (~(((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0))))),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3191, 3190])).
% 6.34/4.49 tff(3193,plain,
% 6.34/4.49 (~(((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0)))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3192, 3189, 505])).
% 6.34/4.49 tff(3194,plain,
% 6.34/4.49 ((((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0))) | (~((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)))),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3195,plain,
% 6.34/4.49 (~((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3194, 3193])).
% 6.34/4.49 tff(3196,plain,
% 6.34/4.49 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB21) <=> v26(constB21))),
% 6.34/4.49 inference(quant_inst,[status(thm)],[])).
% 6.34/4.49 tff(3197,plain,
% 6.34/4.49 (v111(constB21) <=> v26(constB21)),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3196, 524])).
% 6.34/4.49 tff(3198,plain,
% 6.34/4.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 6.34/4.49 inference(quant_inst,[status(thm)],[])).
% 6.34/4.49 tff(3199,plain,
% 6.34/4.49 (~v26(constB21)),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3198, 536])).
% 6.34/4.49 tff(3200,plain,
% 6.34/4.49 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21)) | v26(constB21)),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3201,plain,
% 6.34/4.49 ((~(v111(constB21) <=> v26(constB21))) | (~v111(constB21))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3200, 3199])).
% 6.34/4.49 tff(3202,plain,
% 6.34/4.49 (~v111(constB21)),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3201, 3197])).
% 6.34/4.49 tff(3203,plain,
% 6.34/4.49 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB21) | (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB21) | (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3204,plain,
% 6.34/4.49 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB21) | (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)))))),
% 6.34/4.49 inference(quant_inst,[status(thm)],[])).
% 6.34/4.49 tff(3205,plain,
% 6.34/4.49 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB21) | (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1))))),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 6.34/4.49 tff(3206,plain,
% 6.34/4.49 (v111(constB21) | (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1))))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3205, 554])).
% 6.34/4.49 tff(3207,plain,
% 6.34/4.49 (~(((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3206, 3202])).
% 6.34/4.49 tff(3208,plain,
% 6.34/4.49 ((((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1))) | (~((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)))),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3209,plain,
% 6.34/4.49 (~((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3208, 3207])).
% 6.34/4.49 tff(3210,plain,
% 6.34/4.49 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2))))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3211,plain,
% 6.34/4.49 ((v123(constB21) <=> (~(v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2))))) <=> (v123(constB21) <=> (~(v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2)))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3212,plain,
% 6.34/4.49 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2))))))),
% 6.34/4.49 inference(monotonicity,[status(thm)],[3211])).
% 6.34/4.49 tff(3213,plain,
% 6.34/4.49 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2))))))),
% 6.34/4.49 inference(transitivity,[status(thm)],[3212, 3210])).
% 6.34/4.49 tff(3214,plain,
% 6.34/4.49 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex0) | v90(constB21, bitIndex1) | (~v90(constB21, bitIndex2)))))),
% 6.34/4.49 inference(quant_inst,[status(thm)],[])).
% 6.34/4.49 tff(3215,plain,
% 6.34/4.49 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB21) <=> (~(v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2)))))),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3214, 3213])).
% 6.34/4.49 tff(3216,plain,
% 6.34/4.49 (v123(constB21) <=> (~(v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2))))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3215, 880])).
% 6.34/4.49 tff(3217,plain,
% 6.34/4.49 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3218,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20')).
% 6.34/4.49 tff(3219,plain,
% 6.34/4.49 (nextState(constB20, constB21)),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3218, 3217])).
% 6.34/4.49 tff(3220,plain,
% 6.34/4.49 (((~![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))))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3221,plain,
% 6.34/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))))),
% 6.34/4.49 inference(quant_inst,[status(thm)],[])).
% 6.34/4.49 tff(3222,plain,
% 6.34/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB20, constB21)) | (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3221, 3220])).
% 6.34/4.49 tff(3223,plain,
% 6.34/4.49 (v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21))))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3222, 3219, 433])).
% 6.34/4.49 tff(3224,plain,
% 6.34/4.49 (((~![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))))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3225,plain,
% 6.34/4.49 (((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21)))))) <=> ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3226,plain,
% 6.34/4.49 (((~![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)))))))),
% 6.34/4.49 inference(monotonicity,[status(thm)],[3225])).
% 6.34/4.49 tff(3227,plain,
% 6.34/4.49 (((~![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))))))),
% 6.34/4.49 inference(transitivity,[status(thm)],[3226, 3224])).
% 6.34/4.49 tff(3228,plain,
% 6.34/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v102(constB21)) | (~v1(constB21))))))),
% 6.34/4.49 inference(quant_inst,[status(thm)],[])).
% 6.34/4.49 tff(3229,plain,
% 6.34/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3228, 3227])).
% 6.34/4.49 tff(3230,plain,
% 6.34/4.49 (v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21))))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3229, 3219, 453])).
% 6.34/4.49 tff(3231,plain,
% 6.34/4.49 ((~v1(constB21)) <=> (~v1(constB21))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3232,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21')).
% 6.34/4.49 tff(3233,plain,
% 6.34/4.49 (~v1(constB21)),
% 6.34/4.49 inference(modus_ponens,[status(thm)],[3232, 3231])).
% 6.34/4.49 tff(3234,plain,
% 6.34/4.49 (((~v1(constB21)) | (~v102(constB21))) | v1(constB21)),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3235,plain,
% 6.34/4.49 ((~v1(constB21)) | (~v102(constB21))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3234, 3233])).
% 6.34/4.49 tff(3236,plain,
% 6.34/4.49 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21)) | (~((~v1(constB21)) | (~v102(constB21))))),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3237,plain,
% 6.34/4.49 ((~(v101(constB21) <=> (~((~v1(constB21)) | (~v102(constB21)))))) | (~v101(constB21))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3236, 3235])).
% 6.34/4.49 tff(3238,plain,
% 6.34/4.49 (~v101(constB21)),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3237, 3230])).
% 6.34/4.49 tff(3239,plain,
% 6.34/4.49 (((~v101(constB21)) | (~v110(constB21))) | v101(constB21)),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3240,plain,
% 6.34/4.49 ((~v101(constB21)) | (~v110(constB21))),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3239, 3238])).
% 6.34/4.49 tff(3241,plain,
% 6.34/4.49 ((~(v100(constB21) <=> (~((~v101(constB21)) | (~v110(constB21)))))) | (~v100(constB21)) | (~((~v101(constB21)) | (~v110(constB21))))),
% 6.34/4.49 inference(tautology,[status(thm)],[])).
% 6.34/4.49 tff(3242,plain,
% 6.34/4.49 (~v100(constB21)),
% 6.34/4.49 inference(unit_resolution,[status(thm)],[3241, 3240, 3223])).
% 6.34/4.49 tff(3243,plain,
% 6.34/4.49 (((~![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(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)))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3244,plain,
% 6.34/4.49 ((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)))))),
% 6.34/4.49 inference(rewrite,[status(thm)],[])).
% 6.34/4.49 tff(3245,plain,
% 6.34/4.49 (((~![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(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))))))),
% 6.34/4.50 inference(monotonicity,[status(thm)],[3244])).
% 6.34/4.50 tff(3246,plain,
% 6.34/4.50 (((~![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(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)))))),
% 6.34/4.50 inference(transitivity,[status(thm)],[3245, 3243])).
% 6.34/4.50 tff(3247,plain,
% 6.34/4.50 ((~![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(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3248,plain,
% 6.34/4.50 ((~![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(constB21) | (~nextState(constB20, constB21)) | (~(((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))))),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3247, 3246])).
% 6.34/4.50 tff(3249,plain,
% 6.34/4.50 (v100(constB21) | (~(((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3248, 3219, 482])).
% 6.34/4.50 tff(3250,plain,
% 6.34/4.50 (~(((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3249, 3242])).
% 6.34/4.50 tff(3251,plain,
% 6.34/4.50 ((((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))) | (~((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)))),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3252,plain,
% 6.34/4.50 (~((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3251, 3250])).
% 6.34/4.50 tff(3253,plain,
% 6.34/4.50 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3254,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19')).
% 6.34/4.50 tff(3255,plain,
% 6.34/4.50 (nextState(constB19, constB20)),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3254, 3253])).
% 6.34/4.50 tff(3256,plain,
% 6.34/4.50 (((~![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(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)))))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3257,plain,
% 6.34/4.50 ((~![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(constB19, constB20)) | (~(((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0)))))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3258,plain,
% 6.34/4.50 ((~![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(constB19, constB20)) | (~(((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0))))),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3257, 3256])).
% 6.34/4.50 tff(3259,plain,
% 6.34/4.50 (~(((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0)))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3258, 3255, 505])).
% 6.34/4.50 tff(3260,plain,
% 6.34/4.50 ((((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0))) | (~((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)))),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3261,plain,
% 6.34/4.50 (~((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3260, 3259])).
% 6.34/4.50 tff(3262,plain,
% 6.34/4.50 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB19) <=> v26(constB19))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3263,plain,
% 6.34/4.50 (v111(constB19) <=> v26(constB19)),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3262, 524])).
% 6.34/4.50 tff(3264,plain,
% 6.34/4.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3265,plain,
% 6.34/4.50 (~v26(constB19)),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3264, 536])).
% 6.34/4.50 tff(3266,plain,
% 6.34/4.50 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19)) | v26(constB19)),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3267,plain,
% 6.34/4.50 ((~(v111(constB19) <=> v26(constB19))) | (~v111(constB19))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3266, 3265])).
% 6.34/4.50 tff(3268,plain,
% 6.34/4.50 (~v111(constB19)),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3267, 3263])).
% 6.34/4.50 tff(3269,plain,
% 6.34/4.50 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB19) | (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB19) | (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)))))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3270,plain,
% 6.34/4.50 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB19) | (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)))))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3271,plain,
% 6.34/4.50 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB19) | (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1))))),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3270, 3269])).
% 6.34/4.50 tff(3272,plain,
% 6.34/4.50 (v111(constB19) | (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1))))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3271, 554])).
% 6.34/4.50 tff(3273,plain,
% 6.34/4.50 (~(((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3272, 3268])).
% 6.34/4.50 tff(3274,plain,
% 6.34/4.50 ((((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1))) | (~((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)))),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3275,plain,
% 6.34/4.50 (~((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3274, 3273])).
% 6.34/4.50 tff(3276,plain,
% 6.34/4.50 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))))))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3277,plain,
% 6.34/4.50 ((v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1))))) <=> (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3278,plain,
% 6.34/4.50 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))))))),
% 6.34/4.50 inference(monotonicity,[status(thm)],[3277])).
% 6.34/4.50 tff(3279,plain,
% 6.34/4.50 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))))))),
% 6.34/4.50 inference(transitivity,[status(thm)],[3278, 3276])).
% 6.34/4.50 tff(3280,plain,
% 6.34/4.50 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex0)) | (~v90(constB19, bitIndex1)))))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3281,plain,
% 6.34/4.50 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))))),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3280, 3279])).
% 6.34/4.50 tff(3282,plain,
% 6.34/4.50 (v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3281, 959])).
% 6.34/4.50 tff(3283,plain,
% 6.34/4.50 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3284,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18')).
% 6.34/4.50 tff(3285,plain,
% 6.34/4.50 (nextState(constB18, constB19)),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3284, 3283])).
% 6.34/4.50 tff(3286,plain,
% 6.34/4.50 (((~![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))))))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3287,plain,
% 6.34/4.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3288,plain,
% 6.34/4.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB18, constB19)) | (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3287, 3286])).
% 6.34/4.50 tff(3289,plain,
% 6.34/4.50 (v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19))))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3288, 3285, 433])).
% 6.34/4.50 tff(3290,plain,
% 6.34/4.50 (((~![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))))))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3291,plain,
% 6.34/4.50 (((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19)))))) <=> ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3292,plain,
% 6.34/4.50 (((~![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)))))))),
% 6.34/4.50 inference(monotonicity,[status(thm)],[3291])).
% 6.34/4.50 tff(3293,plain,
% 6.34/4.50 (((~![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))))))),
% 6.34/4.50 inference(transitivity,[status(thm)],[3292, 3290])).
% 6.34/4.50 tff(3294,plain,
% 6.34/4.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v102(constB19)) | (~v1(constB19))))))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3295,plain,
% 6.34/4.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3294, 3293])).
% 6.34/4.50 tff(3296,plain,
% 6.34/4.50 (v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19))))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3295, 3285, 453])).
% 6.34/4.50 tff(3297,plain,
% 6.34/4.50 ((~v1(constB19)) <=> (~v1(constB19))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3298,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19')).
% 6.34/4.50 tff(3299,plain,
% 6.34/4.50 (~v1(constB19)),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3298, 3297])).
% 6.34/4.50 tff(3300,plain,
% 6.34/4.50 (((~v1(constB19)) | (~v102(constB19))) | v1(constB19)),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3301,plain,
% 6.34/4.50 ((~v1(constB19)) | (~v102(constB19))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3300, 3299])).
% 6.34/4.50 tff(3302,plain,
% 6.34/4.50 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19)) | (~((~v1(constB19)) | (~v102(constB19))))),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3303,plain,
% 6.34/4.50 ((~(v101(constB19) <=> (~((~v1(constB19)) | (~v102(constB19)))))) | (~v101(constB19))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3302, 3301])).
% 6.34/4.50 tff(3304,plain,
% 6.34/4.50 (~v101(constB19)),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3303, 3296])).
% 6.34/4.50 tff(3305,plain,
% 6.34/4.50 (((~v101(constB19)) | (~v110(constB19))) | v101(constB19)),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3306,plain,
% 6.34/4.50 ((~v101(constB19)) | (~v110(constB19))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3305, 3304])).
% 6.34/4.50 tff(3307,plain,
% 6.34/4.50 ((~(v100(constB19) <=> (~((~v101(constB19)) | (~v110(constB19)))))) | (~v100(constB19)) | (~((~v101(constB19)) | (~v110(constB19))))),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3308,plain,
% 6.34/4.50 (~v100(constB19)),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3307, 3306, 3289])).
% 6.34/4.50 tff(3309,plain,
% 6.34/4.50 (((~![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(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)))))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3310,plain,
% 6.34/4.50 ((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)))))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3311,plain,
% 6.34/4.50 (((~![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(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))))))),
% 6.34/4.50 inference(monotonicity,[status(thm)],[3310])).
% 6.34/4.50 tff(3312,plain,
% 6.34/4.50 (((~![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(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)))))),
% 6.34/4.50 inference(transitivity,[status(thm)],[3311, 3309])).
% 6.34/4.50 tff(3313,plain,
% 6.34/4.50 ((~![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(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3314,plain,
% 6.34/4.50 ((~![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(constB19) | (~nextState(constB18, constB19)) | (~(((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))))),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3313, 3312])).
% 6.34/4.50 tff(3315,plain,
% 6.34/4.50 (v100(constB19) | (~(((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3314, 3285, 482])).
% 6.34/4.50 tff(3316,plain,
% 6.34/4.50 (~(((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3315, 3308])).
% 6.34/4.50 tff(3317,plain,
% 6.34/4.50 ((((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))) | (~((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)))),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3318,plain,
% 6.34/4.50 (~((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3317, 3316])).
% 6.34/4.50 tff(3319,plain,
% 6.34/4.50 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3320,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17')).
% 6.34/4.50 tff(3321,plain,
% 6.34/4.50 (nextState(constB17, constB18)),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 6.34/4.50 tff(3322,plain,
% 6.34/4.50 (((~![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(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)))))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3323,plain,
% 6.34/4.50 ((~![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(constB17, constB18)) | (~(((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0)))))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3324,plain,
% 6.34/4.50 ((~![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(constB17, constB18)) | (~(((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0))))),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 6.34/4.50 tff(3325,plain,
% 6.34/4.50 (~(((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0)))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3324, 3321, 505])).
% 6.34/4.50 tff(3326,plain,
% 6.34/4.50 ((((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0))) | (~((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)))),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3327,plain,
% 6.34/4.50 (~((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3326, 3325])).
% 6.34/4.50 tff(3328,plain,
% 6.34/4.50 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB17) <=> v26(constB17))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3329,plain,
% 6.34/4.50 (v111(constB17) <=> v26(constB17)),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3328, 524])).
% 6.34/4.50 tff(3330,plain,
% 6.34/4.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3331,plain,
% 6.34/4.50 (~v26(constB17)),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3330, 536])).
% 6.34/4.50 tff(3332,plain,
% 6.34/4.50 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17)) | v26(constB17)),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3333,plain,
% 6.34/4.50 ((~(v111(constB17) <=> v26(constB17))) | (~v111(constB17))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3332, 3331])).
% 6.34/4.50 tff(3334,plain,
% 6.34/4.50 (~v111(constB17)),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3333, 3329])).
% 6.34/4.50 tff(3335,plain,
% 6.34/4.50 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB17) | (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB17) | (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)))))),
% 6.34/4.50 inference(rewrite,[status(thm)],[])).
% 6.34/4.50 tff(3336,plain,
% 6.34/4.50 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB17) | (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)))))),
% 6.34/4.50 inference(quant_inst,[status(thm)],[])).
% 6.34/4.50 tff(3337,plain,
% 6.34/4.50 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB17) | (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1))))),
% 6.34/4.50 inference(modus_ponens,[status(thm)],[3336, 3335])).
% 6.34/4.50 tff(3338,plain,
% 6.34/4.50 (v111(constB17) | (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1))))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3337, 554])).
% 6.34/4.50 tff(3339,plain,
% 6.34/4.50 (~(((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3338, 3334])).
% 6.34/4.50 tff(3340,plain,
% 6.34/4.50 ((((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1))) | (~((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)))),
% 6.34/4.50 inference(tautology,[status(thm)],[])).
% 6.34/4.50 tff(3341,plain,
% 6.34/4.50 (~((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2))),
% 6.34/4.50 inference(unit_resolution,[status(thm)],[3340, 3339])).
% 6.34/4.50 tff(3342,plain,
% 6.34/4.50 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1))))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3343,plain,
% 6.34/4.51 ((v121(constB17) <=> (~(v90(constB17, bitIndex0) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1))))) <=> (v121(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3344,plain,
% 6.34/4.51 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex0) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1))))))),
% 6.34/4.51 inference(monotonicity,[status(thm)],[3343])).
% 6.34/4.51 tff(3345,plain,
% 6.34/4.51 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex0) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1))))))),
% 6.34/4.51 inference(transitivity,[status(thm)],[3344, 3342])).
% 6.34/4.51 tff(3346,plain,
% 6.34/4.51 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex0) | v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)))))),
% 6.34/4.51 inference(quant_inst,[status(thm)],[])).
% 6.34/4.51 tff(3347,plain,
% 6.34/4.51 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)))))),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3346, 3345])).
% 6.34/4.51 tff(3348,plain,
% 6.34/4.51 (v121(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1))))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3347, 574])).
% 6.34/4.51 tff(3349,plain,
% 6.34/4.51 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3350,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16')).
% 6.34/4.51 tff(3351,plain,
% 6.34/4.51 (nextState(constB16, constB17)),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3350, 3349])).
% 6.34/4.51 tff(3352,plain,
% 6.34/4.51 (((~![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))))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3353,plain,
% 6.34/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))))),
% 6.34/4.51 inference(quant_inst,[status(thm)],[])).
% 6.34/4.51 tff(3354,plain,
% 6.34/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB16, constB17)) | (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3353, 3352])).
% 6.34/4.51 tff(3355,plain,
% 6.34/4.51 (v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17))))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3354, 3351, 433])).
% 6.34/4.51 tff(3356,plain,
% 6.34/4.51 (((~![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))))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3357,plain,
% 6.34/4.51 (((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17)))))) <=> ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3358,plain,
% 6.34/4.51 (((~![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)))))))),
% 6.34/4.51 inference(monotonicity,[status(thm)],[3357])).
% 6.34/4.51 tff(3359,plain,
% 6.34/4.51 (((~![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))))))),
% 6.34/4.51 inference(transitivity,[status(thm)],[3358, 3356])).
% 6.34/4.51 tff(3360,plain,
% 6.34/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v102(constB17)) | (~v1(constB17))))))),
% 6.34/4.51 inference(quant_inst,[status(thm)],[])).
% 6.34/4.51 tff(3361,plain,
% 6.34/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 6.34/4.51 tff(3362,plain,
% 6.34/4.51 (v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17))))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3361, 3351, 453])).
% 6.34/4.51 tff(3363,plain,
% 6.34/4.51 ((~v1(constB17)) <=> (~v1(constB17))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3364,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17')).
% 6.34/4.51 tff(3365,plain,
% 6.34/4.51 (~v1(constB17)),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 6.34/4.51 tff(3366,plain,
% 6.34/4.51 (((~v1(constB17)) | (~v102(constB17))) | v1(constB17)),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3367,plain,
% 6.34/4.51 ((~v1(constB17)) | (~v102(constB17))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3366, 3365])).
% 6.34/4.51 tff(3368,plain,
% 6.34/4.51 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17)) | (~((~v1(constB17)) | (~v102(constB17))))),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3369,plain,
% 6.34/4.51 ((~(v101(constB17) <=> (~((~v1(constB17)) | (~v102(constB17)))))) | (~v101(constB17))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3368, 3367])).
% 6.34/4.51 tff(3370,plain,
% 6.34/4.51 (~v101(constB17)),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3369, 3362])).
% 6.34/4.51 tff(3371,plain,
% 6.34/4.51 (((~v101(constB17)) | (~v110(constB17))) | v101(constB17)),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3372,plain,
% 6.34/4.51 ((~v101(constB17)) | (~v110(constB17))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3371, 3370])).
% 6.34/4.51 tff(3373,plain,
% 6.34/4.51 ((~(v100(constB17) <=> (~((~v101(constB17)) | (~v110(constB17)))))) | (~v100(constB17)) | (~((~v101(constB17)) | (~v110(constB17))))),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3374,plain,
% 6.34/4.51 (~v100(constB17)),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3373, 3372, 3355])).
% 6.34/4.51 tff(3375,plain,
% 6.34/4.51 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3376,plain,
% 6.34/4.51 ((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)))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3377,plain,
% 6.34/4.51 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.34/4.51 inference(monotonicity,[status(thm)],[3376])).
% 6.34/4.51 tff(3378,plain,
% 6.34/4.51 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.34/4.51 inference(transitivity,[status(thm)],[3377, 3375])).
% 6.34/4.51 tff(3379,plain,
% 6.34/4.51 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.34/4.51 inference(quant_inst,[status(thm)],[])).
% 6.34/4.51 tff(3380,plain,
% 6.34/4.51 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3379, 3378])).
% 6.34/4.51 tff(3381,plain,
% 6.34/4.51 (v100(constB17) | (~(((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3380, 3351, 482])).
% 6.34/4.51 tff(3382,plain,
% 6.34/4.51 (~(((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3381, 3374])).
% 6.34/4.51 tff(3383,plain,
% 6.34/4.51 ((((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))) | (~((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)))),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3384,plain,
% 6.34/4.51 (~((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3383, 3382])).
% 6.34/4.51 tff(3385,plain,
% 6.34/4.51 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3386,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15')).
% 6.34/4.51 tff(3387,plain,
% 6.34/4.51 (nextState(constB15, constB16)),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3386, 3385])).
% 6.34/4.51 tff(3388,plain,
% 6.34/4.51 (((~![VarNext: $i, 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)))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3389,plain,
% 6.34/4.51 ((~![VarNext: $i, 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)))))),
% 6.34/4.51 inference(quant_inst,[status(thm)],[])).
% 6.34/4.51 tff(3390,plain,
% 6.34/4.51 ((~![VarNext: $i, 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))))),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3389, 3388])).
% 6.34/4.51 tff(3391,plain,
% 6.34/4.51 (~(((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0)))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3390, 3387, 505])).
% 6.34/4.51 tff(3392,plain,
% 6.34/4.51 ((((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0))) | (~((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)))),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3393,plain,
% 6.34/4.51 (~((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3392, 3391])).
% 6.34/4.51 tff(3394,plain,
% 6.34/4.51 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB15) <=> v26(constB15))),
% 6.34/4.51 inference(quant_inst,[status(thm)],[])).
% 6.34/4.51 tff(3395,plain,
% 6.34/4.51 (v111(constB15) <=> v26(constB15)),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3394, 524])).
% 6.34/4.51 tff(3396,plain,
% 6.34/4.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 6.34/4.51 inference(quant_inst,[status(thm)],[])).
% 6.34/4.51 tff(3397,plain,
% 6.34/4.51 (~v26(constB15)),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3396, 536])).
% 6.34/4.51 tff(3398,plain,
% 6.34/4.51 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15)) | v26(constB15)),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3399,plain,
% 6.34/4.51 ((~(v111(constB15) <=> v26(constB15))) | (~v111(constB15))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3398, 3397])).
% 6.34/4.51 tff(3400,plain,
% 6.34/4.51 (~v111(constB15)),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3399, 3395])).
% 6.34/4.51 tff(3401,plain,
% 6.34/4.51 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB15) | (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB15) | (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3402,plain,
% 6.34/4.51 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB15) | (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)))))),
% 6.34/4.51 inference(quant_inst,[status(thm)],[])).
% 6.34/4.51 tff(3403,plain,
% 6.34/4.51 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB15) | (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1))))),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3402, 3401])).
% 6.34/4.51 tff(3404,plain,
% 6.34/4.51 (v111(constB15) | (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1))))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3403, 554])).
% 6.34/4.51 tff(3405,plain,
% 6.34/4.51 (~(((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3404, 3400])).
% 6.34/4.51 tff(3406,plain,
% 6.34/4.51 ((((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1))) | (~((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)))),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3407,plain,
% 6.34/4.51 (~((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3406, 3405])).
% 6.34/4.51 tff(3408,plain,
% 6.34/4.51 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))))),
% 6.34/4.51 inference(quant_inst,[status(thm)],[])).
% 6.34/4.51 tff(3409,plain,
% 6.34/4.51 (v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0))))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3408, 653])).
% 6.34/4.51 tff(3410,plain,
% 6.34/4.51 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3411,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14')).
% 6.34/4.51 tff(3412,plain,
% 6.34/4.51 (nextState(constB14, constB15)),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 6.34/4.51 tff(3413,plain,
% 6.34/4.51 (((~![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))))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3414,plain,
% 6.34/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))))),
% 6.34/4.51 inference(quant_inst,[status(thm)],[])).
% 6.34/4.51 tff(3415,plain,
% 6.34/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB14, constB15)) | (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3414, 3413])).
% 6.34/4.51 tff(3416,plain,
% 6.34/4.51 (v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15))))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3415, 3412, 433])).
% 6.34/4.51 tff(3417,plain,
% 6.34/4.51 (((~![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))))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3418,plain,
% 6.34/4.51 (((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15)))))) <=> ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3419,plain,
% 6.34/4.51 (((~![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)))))))),
% 6.34/4.51 inference(monotonicity,[status(thm)],[3418])).
% 6.34/4.51 tff(3420,plain,
% 6.34/4.51 (((~![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))))))),
% 6.34/4.51 inference(transitivity,[status(thm)],[3419, 3417])).
% 6.34/4.51 tff(3421,plain,
% 6.34/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v102(constB15)) | (~v1(constB15))))))),
% 6.34/4.51 inference(quant_inst,[status(thm)],[])).
% 6.34/4.51 tff(3422,plain,
% 6.34/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3421, 3420])).
% 6.34/4.51 tff(3423,plain,
% 6.34/4.51 (v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15))))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3422, 3412, 453])).
% 6.34/4.51 tff(3424,plain,
% 6.34/4.51 ((~v1(constB15)) <=> (~v1(constB15))),
% 6.34/4.51 inference(rewrite,[status(thm)],[])).
% 6.34/4.51 tff(3425,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15')).
% 6.34/4.51 tff(3426,plain,
% 6.34/4.51 (~v1(constB15)),
% 6.34/4.51 inference(modus_ponens,[status(thm)],[3425, 3424])).
% 6.34/4.51 tff(3427,plain,
% 6.34/4.51 (((~v1(constB15)) | (~v102(constB15))) | v1(constB15)),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3428,plain,
% 6.34/4.51 ((~v1(constB15)) | (~v102(constB15))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3427, 3426])).
% 6.34/4.51 tff(3429,plain,
% 6.34/4.51 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15)) | (~((~v1(constB15)) | (~v102(constB15))))),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3430,plain,
% 6.34/4.51 ((~(v101(constB15) <=> (~((~v1(constB15)) | (~v102(constB15)))))) | (~v101(constB15))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3429, 3428])).
% 6.34/4.51 tff(3431,plain,
% 6.34/4.51 (~v101(constB15)),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3430, 3423])).
% 6.34/4.51 tff(3432,plain,
% 6.34/4.51 (((~v101(constB15)) | (~v110(constB15))) | v101(constB15)),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3433,plain,
% 6.34/4.51 ((~v101(constB15)) | (~v110(constB15))),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3432, 3431])).
% 6.34/4.51 tff(3434,plain,
% 6.34/4.51 ((~(v100(constB15) <=> (~((~v101(constB15)) | (~v110(constB15)))))) | (~v100(constB15)) | (~((~v101(constB15)) | (~v110(constB15))))),
% 6.34/4.51 inference(tautology,[status(thm)],[])).
% 6.34/4.51 tff(3435,plain,
% 6.34/4.51 (~v100(constB15)),
% 6.34/4.51 inference(unit_resolution,[status(thm)],[3434, 3433, 3416])).
% 6.34/4.51 tff(3436,plain,
% 6.34/4.51 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3437,plain,
% 6.34/4.52 ((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)))))),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3438,plain,
% 6.34/4.52 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.34/4.52 inference(monotonicity,[status(thm)],[3437])).
% 6.34/4.52 tff(3439,plain,
% 6.34/4.52 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.34/4.52 inference(transitivity,[status(thm)],[3438, 3436])).
% 6.34/4.52 tff(3440,plain,
% 6.34/4.52 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3441,plain,
% 6.34/4.52 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.34/4.52 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 6.34/4.52 tff(3442,plain,
% 6.34/4.52 (v100(constB15) | (~(((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3441, 3412, 482])).
% 6.34/4.52 tff(3443,plain,
% 6.34/4.52 (~(((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3442, 3435])).
% 6.34/4.52 tff(3444,plain,
% 6.34/4.52 ((((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))) | (~((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)))),
% 6.34/4.52 inference(tautology,[status(thm)],[])).
% 6.34/4.52 tff(3445,plain,
% 6.34/4.52 (~((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3444, 3443])).
% 6.34/4.52 tff(3446,plain,
% 6.34/4.52 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3447,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13')).
% 6.34/4.52 tff(3448,plain,
% 6.34/4.52 (nextState(constB13, constB14)),
% 6.34/4.52 inference(modus_ponens,[status(thm)],[3447, 3446])).
% 6.34/4.52 tff(3449,plain,
% 6.34/4.52 (((~![VarNext: $i, 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)))))),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3450,plain,
% 6.34/4.52 ((~![VarNext: $i, 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)))))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3451,plain,
% 6.34/4.52 ((~![VarNext: $i, 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))))),
% 6.34/4.52 inference(modus_ponens,[status(thm)],[3450, 3449])).
% 6.34/4.52 tff(3452,plain,
% 6.34/4.52 (~(((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0)))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3451, 3448, 505])).
% 6.34/4.52 tff(3453,plain,
% 6.34/4.52 ((((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0))) | (~((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)))),
% 6.34/4.52 inference(tautology,[status(thm)],[])).
% 6.34/4.52 tff(3454,plain,
% 6.34/4.52 (~((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3453, 3452])).
% 6.34/4.52 tff(3455,plain,
% 6.34/4.52 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB13) <=> v26(constB13))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3456,plain,
% 6.34/4.52 (v111(constB13) <=> v26(constB13)),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3455, 524])).
% 6.34/4.52 tff(3457,plain,
% 6.34/4.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3458,plain,
% 6.34/4.52 (~v26(constB13)),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3457, 536])).
% 6.34/4.52 tff(3459,plain,
% 6.34/4.52 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13)) | v26(constB13)),
% 6.34/4.52 inference(tautology,[status(thm)],[])).
% 6.34/4.52 tff(3460,plain,
% 6.34/4.52 ((~(v111(constB13) <=> v26(constB13))) | (~v111(constB13))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3459, 3458])).
% 6.34/4.52 tff(3461,plain,
% 6.34/4.52 (~v111(constB13)),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3460, 3456])).
% 6.34/4.52 tff(3462,plain,
% 6.34/4.52 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB13) | (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB13) | (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)))))),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3463,plain,
% 6.34/4.52 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB13) | (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)))))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3464,plain,
% 6.34/4.52 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB13) | (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1))))),
% 6.34/4.52 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 6.34/4.52 tff(3465,plain,
% 6.34/4.52 (v111(constB13) | (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1))))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3464, 554])).
% 6.34/4.52 tff(3466,plain,
% 6.34/4.52 (~(((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3465, 3461])).
% 6.34/4.52 tff(3467,plain,
% 6.34/4.52 ((((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1))) | (~((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)))),
% 6.34/4.52 inference(tautology,[status(thm)],[])).
% 6.34/4.52 tff(3468,plain,
% 6.34/4.52 (~((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3467, 3466])).
% 6.34/4.52 tff(3469,plain,
% 6.34/4.52 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2))))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3470,plain,
% 6.34/4.52 (v119(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3469, 727])).
% 6.34/4.52 tff(3471,plain,
% 6.34/4.52 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3472,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12')).
% 6.34/4.52 tff(3473,plain,
% 6.34/4.52 (nextState(constB12, constB13)),
% 6.34/4.52 inference(modus_ponens,[status(thm)],[3472, 3471])).
% 6.34/4.52 tff(3474,plain,
% 6.34/4.52 (((~![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))))))),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3475,plain,
% 6.34/4.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3476,plain,
% 6.34/4.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB12, constB13)) | (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))),
% 6.34/4.52 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 6.34/4.52 tff(3477,plain,
% 6.34/4.52 (v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13))))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3476, 3473, 433])).
% 6.34/4.52 tff(3478,plain,
% 6.34/4.52 (((~![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))))))),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3479,plain,
% 6.34/4.52 (((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13)))))) <=> ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))))),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3480,plain,
% 6.34/4.52 (((~![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)))))))),
% 6.34/4.52 inference(monotonicity,[status(thm)],[3479])).
% 6.34/4.52 tff(3481,plain,
% 6.34/4.52 (((~![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))))))),
% 6.34/4.52 inference(transitivity,[status(thm)],[3480, 3478])).
% 6.34/4.52 tff(3482,plain,
% 6.34/4.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v102(constB13)) | (~v1(constB13))))))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3483,plain,
% 6.34/4.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))),
% 6.34/4.52 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 6.34/4.52 tff(3484,plain,
% 6.34/4.52 (v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13))))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3483, 3473, 453])).
% 6.34/4.52 tff(3485,plain,
% 6.34/4.52 ((~v1(constB13)) <=> (~v1(constB13))),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3486,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13')).
% 6.34/4.52 tff(3487,plain,
% 6.34/4.52 (~v1(constB13)),
% 6.34/4.52 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 6.34/4.52 tff(3488,plain,
% 6.34/4.52 (((~v1(constB13)) | (~v102(constB13))) | v1(constB13)),
% 6.34/4.52 inference(tautology,[status(thm)],[])).
% 6.34/4.52 tff(3489,plain,
% 6.34/4.52 ((~v1(constB13)) | (~v102(constB13))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3488, 3487])).
% 6.34/4.52 tff(3490,plain,
% 6.34/4.52 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13)) | (~((~v1(constB13)) | (~v102(constB13))))),
% 6.34/4.52 inference(tautology,[status(thm)],[])).
% 6.34/4.52 tff(3491,plain,
% 6.34/4.52 ((~(v101(constB13) <=> (~((~v1(constB13)) | (~v102(constB13)))))) | (~v101(constB13))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3490, 3489])).
% 6.34/4.52 tff(3492,plain,
% 6.34/4.52 (~v101(constB13)),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3491, 3484])).
% 6.34/4.52 tff(3493,plain,
% 6.34/4.52 (((~v101(constB13)) | (~v110(constB13))) | v101(constB13)),
% 6.34/4.52 inference(tautology,[status(thm)],[])).
% 6.34/4.52 tff(3494,plain,
% 6.34/4.52 ((~v101(constB13)) | (~v110(constB13))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3493, 3492])).
% 6.34/4.52 tff(3495,plain,
% 6.34/4.52 ((~(v100(constB13) <=> (~((~v101(constB13)) | (~v110(constB13)))))) | (~v100(constB13)) | (~((~v101(constB13)) | (~v110(constB13))))),
% 6.34/4.52 inference(tautology,[status(thm)],[])).
% 6.34/4.52 tff(3496,plain,
% 6.34/4.52 (~v100(constB13)),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3495, 3494, 3477])).
% 6.34/4.52 tff(3497,plain,
% 6.34/4.52 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3498,plain,
% 6.34/4.52 ((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)))))),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3499,plain,
% 6.34/4.52 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.34/4.52 inference(monotonicity,[status(thm)],[3498])).
% 6.34/4.52 tff(3500,plain,
% 6.34/4.52 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.34/4.52 inference(transitivity,[status(thm)],[3499, 3497])).
% 6.34/4.52 tff(3501,plain,
% 6.34/4.52 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3502,plain,
% 6.34/4.52 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.34/4.52 inference(modus_ponens,[status(thm)],[3501, 3500])).
% 6.34/4.52 tff(3503,plain,
% 6.34/4.52 (v100(constB13) | (~(((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3502, 3473, 482])).
% 6.34/4.52 tff(3504,plain,
% 6.34/4.52 (~(((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3503, 3496])).
% 6.34/4.52 tff(3505,plain,
% 6.34/4.52 ((((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))) | (~((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)))),
% 6.34/4.52 inference(tautology,[status(thm)],[])).
% 6.34/4.52 tff(3506,plain,
% 6.34/4.52 (~((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3505, 3504])).
% 6.34/4.52 tff(3507,plain,
% 6.34/4.52 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3508,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11')).
% 6.34/4.52 tff(3509,plain,
% 6.34/4.52 (nextState(constB11, constB12)),
% 6.34/4.52 inference(modus_ponens,[status(thm)],[3508, 3507])).
% 6.34/4.52 tff(3510,plain,
% 6.34/4.52 (((~![VarNext: $i, 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)))))),
% 6.34/4.52 inference(rewrite,[status(thm)],[])).
% 6.34/4.52 tff(3511,plain,
% 6.34/4.52 ((~![VarNext: $i, 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)))))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3512,plain,
% 6.34/4.52 ((~![VarNext: $i, 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))))),
% 6.34/4.52 inference(modus_ponens,[status(thm)],[3511, 3510])).
% 6.34/4.52 tff(3513,plain,
% 6.34/4.52 (~(((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0)))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3512, 3509, 505])).
% 6.34/4.52 tff(3514,plain,
% 6.34/4.52 ((((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0))) | (~((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)))),
% 6.34/4.52 inference(tautology,[status(thm)],[])).
% 6.34/4.52 tff(3515,plain,
% 6.34/4.52 (~((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3514, 3513])).
% 6.34/4.52 tff(3516,plain,
% 6.34/4.52 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB11) <=> v26(constB11))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3517,plain,
% 6.34/4.52 (v111(constB11) <=> v26(constB11)),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3516, 524])).
% 6.34/4.52 tff(3518,plain,
% 6.34/4.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 6.34/4.52 inference(quant_inst,[status(thm)],[])).
% 6.34/4.52 tff(3519,plain,
% 6.34/4.52 (~v26(constB11)),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3518, 536])).
% 6.34/4.52 tff(3520,plain,
% 6.34/4.52 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11)) | v26(constB11)),
% 6.34/4.52 inference(tautology,[status(thm)],[])).
% 6.34/4.52 tff(3521,plain,
% 6.34/4.52 ((~(v111(constB11) <=> v26(constB11))) | (~v111(constB11))),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3520, 3519])).
% 6.34/4.52 tff(3522,plain,
% 6.34/4.52 (~v111(constB11)),
% 6.34/4.52 inference(unit_resolution,[status(thm)],[3521, 3517])).
% 6.34/4.52 tff(3523,plain,
% 6.34/4.52 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB11) | (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB11) | (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)))))),
% 6.34/4.53 inference(rewrite,[status(thm)],[])).
% 6.34/4.53 tff(3524,plain,
% 6.34/4.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB11) | (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)))))),
% 6.34/4.53 inference(quant_inst,[status(thm)],[])).
% 6.34/4.53 tff(3525,plain,
% 6.34/4.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB11) | (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1))))),
% 6.34/4.53 inference(modus_ponens,[status(thm)],[3524, 3523])).
% 6.34/4.53 tff(3526,plain,
% 6.34/4.53 (v111(constB11) | (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1))))),
% 6.34/4.53 inference(unit_resolution,[status(thm)],[3525, 554])).
% 6.34/4.53 tff(3527,plain,
% 6.34/4.53 (~(((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)))),
% 6.34/4.53 inference(unit_resolution,[status(thm)],[3526, 3522])).
% 6.34/4.53 tff(3528,plain,
% 6.34/4.53 ((((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1))) | (~((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)))),
% 6.34/4.53 inference(tautology,[status(thm)],[])).
% 6.34/4.53 tff(3529,plain,
% 6.34/4.53 (~((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2))),
% 6.34/4.53 inference(unit_resolution,[status(thm)],[3528, 3527])).
% 6.34/4.53 tff(3530,plain,
% 6.34/4.53 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0))))))),
% 6.34/4.53 inference(rewrite,[status(thm)],[])).
% 6.34/4.53 tff(3531,plain,
% 6.34/4.53 ((v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex2))))) <=> (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0)))))),
% 6.34/4.53 inference(rewrite,[status(thm)],[])).
% 6.34/4.53 tff(3532,plain,
% 6.34/4.53 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0))))))),
% 6.34/4.53 inference(monotonicity,[status(thm)],[3531])).
% 6.34/4.53 tff(3533,plain,
% 6.34/4.53 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0))))))),
% 6.34/4.53 inference(transitivity,[status(thm)],[3532, 3530])).
% 6.34/4.53 tff(3534,plain,
% 6.34/4.53 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex2)))))),
% 6.34/4.53 inference(quant_inst,[status(thm)],[])).
% 6.34/4.53 tff(3535,plain,
% 6.34/4.53 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0)))))),
% 6.34/4.53 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 6.34/4.53 tff(3536,plain,
% 6.34/4.53 (v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0))))),
% 6.34/4.53 inference(unit_resolution,[status(thm)],[3535, 801])).
% 6.34/4.53 tff(3537,plain,
% 6.34/4.53 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 6.34/4.53 inference(rewrite,[status(thm)],[])).
% 6.34/4.53 tff(3538,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10')).
% 6.34/4.53 tff(3539,plain,
% 6.34/4.53 (nextState(constB10, constB11)),
% 6.34/4.53 inference(modus_ponens,[status(thm)],[3538, 3537])).
% 6.34/4.53 tff(3540,plain,
% 6.34/4.53 (((~![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))))))),
% 6.34/4.53 inference(rewrite,[status(thm)],[])).
% 6.34/4.53 tff(3541,plain,
% 6.34/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))))),
% 6.34/4.53 inference(quant_inst,[status(thm)],[])).
% 6.34/4.53 tff(3542,plain,
% 6.34/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB10, constB11)) | (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))),
% 6.34/4.53 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 6.34/4.53 tff(3543,plain,
% 6.34/4.53 (v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11))))),
% 6.34/4.53 inference(unit_resolution,[status(thm)],[3542, 3539, 433])).
% 6.34/4.53 tff(3544,plain,
% 6.34/4.53 (((~![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))))))),
% 6.34/4.53 inference(rewrite,[status(thm)],[])).
% 6.34/4.53 tff(3545,plain,
% 6.34/4.53 (((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11)))))) <=> ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))))),
% 6.34/4.53 inference(rewrite,[status(thm)],[])).
% 6.34/4.53 tff(3546,plain,
% 6.34/4.53 (((~![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)))))))),
% 6.34/4.53 inference(monotonicity,[status(thm)],[3545])).
% 6.34/4.53 tff(3547,plain,
% 6.34/4.53 (((~![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))))))),
% 6.34/4.53 inference(transitivity,[status(thm)],[3546, 3544])).
% 6.34/4.53 tff(3548,plain,
% 6.34/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v102(constB11)) | (~v1(constB11))))))),
% 6.34/4.53 inference(quant_inst,[status(thm)],[])).
% 6.34/4.53 tff(3549,plain,
% 6.34/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))),
% 6.34/4.53 inference(modus_ponens,[status(thm)],[3548, 3547])).
% 6.34/4.53 tff(3550,plain,
% 6.34/4.53 (v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11))))),
% 6.34/4.53 inference(unit_resolution,[status(thm)],[3549, 3539, 453])).
% 6.34/4.53 tff(3551,plain,
% 6.34/4.53 ((~v1(constB11)) <=> (~v1(constB11))),
% 6.34/4.53 inference(rewrite,[status(thm)],[])).
% 6.34/4.53 tff(3552,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11')).
% 6.34/4.53 tff(3553,plain,
% 6.34/4.53 (~v1(constB11)),
% 6.34/4.53 inference(modus_ponens,[status(thm)],[3552, 3551])).
% 6.34/4.53 tff(3554,plain,
% 6.34/4.53 (((~v1(constB11)) | (~v102(constB11))) | v1(constB11)),
% 6.34/4.53 inference(tautology,[status(thm)],[])).
% 6.34/4.53 tff(3555,plain,
% 6.34/4.53 ((~v1(constB11)) | (~v102(constB11))),
% 6.34/4.53 inference(unit_resolution,[status(thm)],[3554, 3553])).
% 6.34/4.53 tff(3556,plain,
% 6.34/4.53 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11)) | (~((~v1(constB11)) | (~v102(constB11))))),
% 6.34/4.53 inference(tautology,[status(thm)],[])).
% 6.34/4.53 tff(3557,plain,
% 6.34/4.53 ((~(v101(constB11) <=> (~((~v1(constB11)) | (~v102(constB11)))))) | (~v101(constB11))),
% 6.34/4.53 inference(unit_resolution,[status(thm)],[3556, 3555])).
% 6.34/4.53 tff(3558,plain,
% 6.34/4.53 (~v101(constB11)),
% 6.34/4.53 inference(unit_resolution,[status(thm)],[3557, 3550])).
% 6.34/4.53 tff(3559,plain,
% 6.34/4.53 (((~v101(constB11)) | (~v110(constB11))) | v101(constB11)),
% 6.34/4.53 inference(tautology,[status(thm)],[])).
% 6.34/4.53 tff(3560,plain,
% 6.34/4.53 ((~v101(constB11)) | (~v110(constB11))),
% 6.34/4.53 inference(unit_resolution,[status(thm)],[3559, 3558])).
% 6.34/4.53 tff(3561,plain,
% 6.34/4.53 ((~(v100(constB11) <=> (~((~v101(constB11)) | (~v110(constB11)))))) | (~v100(constB11)) | (~((~v101(constB11)) | (~v110(constB11))))),
% 6.34/4.53 inference(tautology,[status(thm)],[])).
% 6.34/4.53 tff(3562,plain,
% 6.34/4.53 (~v100(constB11)),
% 6.34/4.53 inference(unit_resolution,[status(thm)],[3561, 3560, 3543])).
% 6.34/4.53 tff(3563,plain,
% 6.34/4.53 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3564,plain,
% 6.42/4.53 ((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)))))),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3565,plain,
% 6.42/4.53 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.42/4.53 inference(monotonicity,[status(thm)],[3564])).
% 6.42/4.53 tff(3566,plain,
% 6.42/4.53 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.53 inference(transitivity,[status(thm)],[3565, 3563])).
% 6.42/4.53 tff(3567,plain,
% 6.42/4.53 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.53 inference(quant_inst,[status(thm)],[])).
% 6.42/4.53 tff(3568,plain,
% 6.42/4.53 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.42/4.53 inference(modus_ponens,[status(thm)],[3567, 3566])).
% 6.42/4.53 tff(3569,plain,
% 6.42/4.53 (v100(constB11) | (~(((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3568, 3539, 482])).
% 6.42/4.53 tff(3570,plain,
% 6.42/4.53 (~(((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3569, 3562])).
% 6.42/4.53 tff(3571,plain,
% 6.42/4.53 ((((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))) | (~((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)))),
% 6.42/4.53 inference(tautology,[status(thm)],[])).
% 6.42/4.53 tff(3572,plain,
% 6.42/4.53 (~((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3571, 3570])).
% 6.42/4.53 tff(3573,plain,
% 6.42/4.53 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3574,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9')).
% 6.42/4.53 tff(3575,plain,
% 6.42/4.53 (nextState(constB9, constB10)),
% 6.42/4.53 inference(modus_ponens,[status(thm)],[3574, 3573])).
% 6.42/4.53 tff(3576,plain,
% 6.42/4.53 (((~![VarNext: $i, 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)))))),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3577,plain,
% 6.42/4.53 ((~![VarNext: $i, 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)))))),
% 6.42/4.53 inference(quant_inst,[status(thm)],[])).
% 6.42/4.53 tff(3578,plain,
% 6.42/4.53 ((~![VarNext: $i, 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))))),
% 6.42/4.53 inference(modus_ponens,[status(thm)],[3577, 3576])).
% 6.42/4.53 tff(3579,plain,
% 6.42/4.53 (~(((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0)))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3578, 3575, 505])).
% 6.42/4.53 tff(3580,plain,
% 6.42/4.53 ((((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0))) | (~((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)))),
% 6.42/4.53 inference(tautology,[status(thm)],[])).
% 6.42/4.53 tff(3581,plain,
% 6.42/4.53 (~((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3580, 3579])).
% 6.42/4.53 tff(3582,plain,
% 6.42/4.53 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB9) <=> v26(constB9))),
% 6.42/4.53 inference(quant_inst,[status(thm)],[])).
% 6.42/4.53 tff(3583,plain,
% 6.42/4.53 (v111(constB9) <=> v26(constB9)),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3582, 524])).
% 6.42/4.53 tff(3584,plain,
% 6.42/4.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 6.42/4.53 inference(quant_inst,[status(thm)],[])).
% 6.42/4.53 tff(3585,plain,
% 6.42/4.53 (~v26(constB9)),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3584, 536])).
% 6.42/4.53 tff(3586,plain,
% 6.42/4.53 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9)) | v26(constB9)),
% 6.42/4.53 inference(tautology,[status(thm)],[])).
% 6.42/4.53 tff(3587,plain,
% 6.42/4.53 ((~(v111(constB9) <=> v26(constB9))) | (~v111(constB9))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3586, 3585])).
% 6.42/4.53 tff(3588,plain,
% 6.42/4.53 (~v111(constB9)),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3587, 3583])).
% 6.42/4.53 tff(3589,plain,
% 6.42/4.53 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB9) | (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB9) | (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)))))),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3590,plain,
% 6.42/4.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB9) | (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)))))),
% 6.42/4.53 inference(quant_inst,[status(thm)],[])).
% 6.42/4.53 tff(3591,plain,
% 6.42/4.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB9) | (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1))))),
% 6.42/4.53 inference(modus_ponens,[status(thm)],[3590, 3589])).
% 6.42/4.53 tff(3592,plain,
% 6.42/4.53 (v111(constB9) | (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1))))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3591, 554])).
% 6.42/4.53 tff(3593,plain,
% 6.42/4.53 (~(((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3592, 3588])).
% 6.42/4.53 tff(3594,plain,
% 6.42/4.53 ((((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1))) | (~((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)))),
% 6.42/4.53 inference(tautology,[status(thm)],[])).
% 6.42/4.53 tff(3595,plain,
% 6.42/4.53 (~((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3594, 3593])).
% 6.42/4.53 tff(3596,plain,
% 6.42/4.53 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2))))))),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3597,plain,
% 6.42/4.53 ((v123(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2))))) <=> (v123(constB9) <=> (~(v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2)))))),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3598,plain,
% 6.42/4.53 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2))))))),
% 6.42/4.53 inference(monotonicity,[status(thm)],[3597])).
% 6.42/4.53 tff(3599,plain,
% 6.42/4.53 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2))))))),
% 6.42/4.53 inference(transitivity,[status(thm)],[3598, 3596])).
% 6.42/4.53 tff(3600,plain,
% 6.42/4.53 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | (~v90(constB9, bitIndex2)))))),
% 6.42/4.53 inference(quant_inst,[status(thm)],[])).
% 6.42/4.53 tff(3601,plain,
% 6.42/4.53 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB9) <=> (~(v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2)))))),
% 6.42/4.53 inference(modus_ponens,[status(thm)],[3600, 3599])).
% 6.42/4.53 tff(3602,plain,
% 6.42/4.53 (v123(constB9) <=> (~(v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2))))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3601, 880])).
% 6.42/4.53 tff(3603,plain,
% 6.42/4.53 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3604,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8')).
% 6.42/4.53 tff(3605,plain,
% 6.42/4.53 (nextState(constB8, constB9)),
% 6.42/4.53 inference(modus_ponens,[status(thm)],[3604, 3603])).
% 6.42/4.53 tff(3606,plain,
% 6.42/4.53 (((~![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))))))),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3607,plain,
% 6.42/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))))),
% 6.42/4.53 inference(quant_inst,[status(thm)],[])).
% 6.42/4.53 tff(3608,plain,
% 6.42/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB8, constB9)) | (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))),
% 6.42/4.53 inference(modus_ponens,[status(thm)],[3607, 3606])).
% 6.42/4.53 tff(3609,plain,
% 6.42/4.53 (v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9))))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3608, 3605, 433])).
% 6.42/4.53 tff(3610,plain,
% 6.42/4.53 (((~![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))))))),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3611,plain,
% 6.42/4.53 (((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9)))))) <=> ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))))),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3612,plain,
% 6.42/4.53 (((~![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)))))))),
% 6.42/4.53 inference(monotonicity,[status(thm)],[3611])).
% 6.42/4.53 tff(3613,plain,
% 6.42/4.53 (((~![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))))))),
% 6.42/4.53 inference(transitivity,[status(thm)],[3612, 3610])).
% 6.42/4.53 tff(3614,plain,
% 6.42/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v102(constB9)) | (~v1(constB9))))))),
% 6.42/4.53 inference(quant_inst,[status(thm)],[])).
% 6.42/4.53 tff(3615,plain,
% 6.42/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))),
% 6.42/4.53 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 6.42/4.53 tff(3616,plain,
% 6.42/4.53 (v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9))))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3615, 3605, 453])).
% 6.42/4.53 tff(3617,plain,
% 6.42/4.53 ((~v1(constB9)) <=> (~v1(constB9))),
% 6.42/4.53 inference(rewrite,[status(thm)],[])).
% 6.42/4.53 tff(3618,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9')).
% 6.42/4.53 tff(3619,plain,
% 6.42/4.53 (~v1(constB9)),
% 6.42/4.53 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 6.42/4.53 tff(3620,plain,
% 6.42/4.53 (((~v1(constB9)) | (~v102(constB9))) | v1(constB9)),
% 6.42/4.53 inference(tautology,[status(thm)],[])).
% 6.42/4.53 tff(3621,plain,
% 6.42/4.53 ((~v1(constB9)) | (~v102(constB9))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3620, 3619])).
% 6.42/4.53 tff(3622,plain,
% 6.42/4.53 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9)) | (~((~v1(constB9)) | (~v102(constB9))))),
% 6.42/4.53 inference(tautology,[status(thm)],[])).
% 6.42/4.53 tff(3623,plain,
% 6.42/4.53 ((~(v101(constB9) <=> (~((~v1(constB9)) | (~v102(constB9)))))) | (~v101(constB9))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3622, 3621])).
% 6.42/4.53 tff(3624,plain,
% 6.42/4.53 (~v101(constB9)),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3623, 3616])).
% 6.42/4.53 tff(3625,plain,
% 6.42/4.53 (((~v101(constB9)) | (~v110(constB9))) | v101(constB9)),
% 6.42/4.53 inference(tautology,[status(thm)],[])).
% 6.42/4.53 tff(3626,plain,
% 6.42/4.53 ((~v101(constB9)) | (~v110(constB9))),
% 6.42/4.53 inference(unit_resolution,[status(thm)],[3625, 3624])).
% 6.42/4.53 tff(3627,plain,
% 6.42/4.53 ((~(v100(constB9) <=> (~((~v101(constB9)) | (~v110(constB9)))))) | (~v100(constB9)) | (~((~v101(constB9)) | (~v110(constB9))))),
% 6.42/4.54 inference(tautology,[status(thm)],[])).
% 6.42/4.54 tff(3628,plain,
% 6.42/4.54 (~v100(constB9)),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3627, 3626, 3609])).
% 6.42/4.54 tff(3629,plain,
% 6.42/4.54 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3630,plain,
% 6.42/4.54 ((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)))))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3631,plain,
% 6.42/4.54 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.42/4.54 inference(monotonicity,[status(thm)],[3630])).
% 6.42/4.54 tff(3632,plain,
% 6.42/4.54 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.54 inference(transitivity,[status(thm)],[3631, 3629])).
% 6.42/4.54 tff(3633,plain,
% 6.42/4.54 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.54 inference(quant_inst,[status(thm)],[])).
% 6.42/4.54 tff(3634,plain,
% 6.42/4.54 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.42/4.54 inference(modus_ponens,[status(thm)],[3633, 3632])).
% 6.42/4.54 tff(3635,plain,
% 6.42/4.54 (v100(constB9) | (~(((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3634, 3605, 482])).
% 6.42/4.54 tff(3636,plain,
% 6.42/4.54 (~(((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3635, 3628])).
% 6.42/4.54 tff(3637,plain,
% 6.42/4.54 ((((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))) | (~((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)))),
% 6.42/4.54 inference(tautology,[status(thm)],[])).
% 6.42/4.54 tff(3638,plain,
% 6.42/4.54 (~((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3637, 3636])).
% 6.42/4.54 tff(3639,plain,
% 6.42/4.54 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3640,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7')).
% 6.42/4.54 tff(3641,plain,
% 6.42/4.54 (nextState(constB7, constB8)),
% 6.42/4.54 inference(modus_ponens,[status(thm)],[3640, 3639])).
% 6.42/4.54 tff(3642,plain,
% 6.42/4.54 (((~![VarNext: $i, 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)))))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3643,plain,
% 6.42/4.54 ((~![VarNext: $i, 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)))))),
% 6.42/4.54 inference(quant_inst,[status(thm)],[])).
% 6.42/4.54 tff(3644,plain,
% 6.42/4.54 ((~![VarNext: $i, 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))))),
% 6.42/4.54 inference(modus_ponens,[status(thm)],[3643, 3642])).
% 6.42/4.54 tff(3645,plain,
% 6.42/4.54 (~(((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0)))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3644, 3641, 505])).
% 6.42/4.54 tff(3646,plain,
% 6.42/4.54 ((((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0))) | (~((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)))),
% 6.42/4.54 inference(tautology,[status(thm)],[])).
% 6.42/4.54 tff(3647,plain,
% 6.42/4.54 (~((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3646, 3645])).
% 6.42/4.54 tff(3648,plain,
% 6.42/4.54 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB7) <=> v26(constB7))),
% 6.42/4.54 inference(quant_inst,[status(thm)],[])).
% 6.42/4.54 tff(3649,plain,
% 6.42/4.54 (v111(constB7) <=> v26(constB7)),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3648, 524])).
% 6.42/4.54 tff(3650,plain,
% 6.42/4.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 6.42/4.54 inference(quant_inst,[status(thm)],[])).
% 6.42/4.54 tff(3651,plain,
% 6.42/4.54 (~v26(constB7)),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3650, 536])).
% 6.42/4.54 tff(3652,plain,
% 6.42/4.54 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7)) | v26(constB7)),
% 6.42/4.54 inference(tautology,[status(thm)],[])).
% 6.42/4.54 tff(3653,plain,
% 6.42/4.54 ((~(v111(constB7) <=> v26(constB7))) | (~v111(constB7))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3652, 3651])).
% 6.42/4.54 tff(3654,plain,
% 6.42/4.54 (~v111(constB7)),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3653, 3649])).
% 6.42/4.54 tff(3655,plain,
% 6.42/4.54 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB7) | (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB7) | (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)))))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3656,plain,
% 6.42/4.54 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB7) | (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)))))),
% 6.42/4.54 inference(quant_inst,[status(thm)],[])).
% 6.42/4.54 tff(3657,plain,
% 6.42/4.54 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB7) | (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1))))),
% 6.42/4.54 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 6.42/4.54 tff(3658,plain,
% 6.42/4.54 (v111(constB7) | (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1))))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3657, 554])).
% 6.42/4.54 tff(3659,plain,
% 6.42/4.54 (~(((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3658, 3654])).
% 6.42/4.54 tff(3660,plain,
% 6.42/4.54 ((((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1))) | (~((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)))),
% 6.42/4.54 inference(tautology,[status(thm)],[])).
% 6.42/4.54 tff(3661,plain,
% 6.42/4.54 (~((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3660, 3659])).
% 6.42/4.54 tff(3662,plain,
% 6.42/4.54 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))))))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3663,plain,
% 6.42/4.54 ((v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1))))) <=> (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3664,plain,
% 6.42/4.54 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))))))),
% 6.42/4.54 inference(monotonicity,[status(thm)],[3663])).
% 6.42/4.54 tff(3665,plain,
% 6.42/4.54 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))))))),
% 6.42/4.54 inference(transitivity,[status(thm)],[3664, 3662])).
% 6.42/4.54 tff(3666,plain,
% 6.42/4.54 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex0)) | (~v90(constB7, bitIndex1)))))),
% 6.42/4.54 inference(quant_inst,[status(thm)],[])).
% 6.42/4.54 tff(3667,plain,
% 6.42/4.54 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))))),
% 6.42/4.54 inference(modus_ponens,[status(thm)],[3666, 3665])).
% 6.42/4.54 tff(3668,plain,
% 6.42/4.54 (v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3667, 959])).
% 6.42/4.54 tff(3669,plain,
% 6.42/4.54 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3670,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6')).
% 6.42/4.54 tff(3671,plain,
% 6.42/4.54 (nextState(constB6, constB7)),
% 6.42/4.54 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 6.42/4.54 tff(3672,plain,
% 6.42/4.54 (((~![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))))))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3673,plain,
% 6.42/4.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))))),
% 6.42/4.54 inference(quant_inst,[status(thm)],[])).
% 6.42/4.54 tff(3674,plain,
% 6.42/4.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB6, constB7)) | (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))),
% 6.42/4.54 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 6.42/4.54 tff(3675,plain,
% 6.42/4.54 (v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7))))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3674, 3671, 433])).
% 6.42/4.54 tff(3676,plain,
% 6.42/4.54 (((~![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))))))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3677,plain,
% 6.42/4.54 (((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7)))))) <=> ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3678,plain,
% 6.42/4.54 (((~![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)))))))),
% 6.42/4.54 inference(monotonicity,[status(thm)],[3677])).
% 6.42/4.54 tff(3679,plain,
% 6.42/4.54 (((~![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))))))),
% 6.42/4.54 inference(transitivity,[status(thm)],[3678, 3676])).
% 6.42/4.54 tff(3680,plain,
% 6.42/4.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v102(constB7)) | (~v1(constB7))))))),
% 6.42/4.54 inference(quant_inst,[status(thm)],[])).
% 6.42/4.54 tff(3681,plain,
% 6.42/4.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))),
% 6.42/4.54 inference(modus_ponens,[status(thm)],[3680, 3679])).
% 6.42/4.54 tff(3682,plain,
% 6.42/4.54 (v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7))))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3681, 3671, 453])).
% 6.42/4.54 tff(3683,plain,
% 6.42/4.54 ((~v1(constB7)) <=> (~v1(constB7))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3684,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7')).
% 6.42/4.54 tff(3685,plain,
% 6.42/4.54 (~v1(constB7)),
% 6.42/4.54 inference(modus_ponens,[status(thm)],[3684, 3683])).
% 6.42/4.54 tff(3686,plain,
% 6.42/4.54 (((~v1(constB7)) | (~v102(constB7))) | v1(constB7)),
% 6.42/4.54 inference(tautology,[status(thm)],[])).
% 6.42/4.54 tff(3687,plain,
% 6.42/4.54 ((~v1(constB7)) | (~v102(constB7))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3686, 3685])).
% 6.42/4.54 tff(3688,plain,
% 6.42/4.54 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7)) | (~((~v1(constB7)) | (~v102(constB7))))),
% 6.42/4.54 inference(tautology,[status(thm)],[])).
% 6.42/4.54 tff(3689,plain,
% 6.42/4.54 ((~(v101(constB7) <=> (~((~v1(constB7)) | (~v102(constB7)))))) | (~v101(constB7))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3688, 3687])).
% 6.42/4.54 tff(3690,plain,
% 6.42/4.54 (~v101(constB7)),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3689, 3682])).
% 6.42/4.54 tff(3691,plain,
% 6.42/4.54 (((~v101(constB7)) | (~v110(constB7))) | v101(constB7)),
% 6.42/4.54 inference(tautology,[status(thm)],[])).
% 6.42/4.54 tff(3692,plain,
% 6.42/4.54 ((~v101(constB7)) | (~v110(constB7))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3691, 3690])).
% 6.42/4.54 tff(3693,plain,
% 6.42/4.54 ((~(v100(constB7) <=> (~((~v101(constB7)) | (~v110(constB7)))))) | (~v100(constB7)) | (~((~v101(constB7)) | (~v110(constB7))))),
% 6.42/4.54 inference(tautology,[status(thm)],[])).
% 6.42/4.54 tff(3694,plain,
% 6.42/4.54 (~v100(constB7)),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3693, 3692, 3675])).
% 6.42/4.54 tff(3695,plain,
% 6.42/4.54 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3696,plain,
% 6.42/4.54 ((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)))))),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3697,plain,
% 6.42/4.54 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.42/4.54 inference(monotonicity,[status(thm)],[3696])).
% 6.42/4.54 tff(3698,plain,
% 6.42/4.54 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.54 inference(transitivity,[status(thm)],[3697, 3695])).
% 6.42/4.54 tff(3699,plain,
% 6.42/4.54 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.54 inference(quant_inst,[status(thm)],[])).
% 6.42/4.54 tff(3700,plain,
% 6.42/4.54 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.42/4.54 inference(modus_ponens,[status(thm)],[3699, 3698])).
% 6.42/4.54 tff(3701,plain,
% 6.42/4.54 (v100(constB7) | (~(((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3700, 3671, 482])).
% 6.42/4.54 tff(3702,plain,
% 6.42/4.54 (~(((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3701, 3694])).
% 6.42/4.54 tff(3703,plain,
% 6.42/4.54 ((((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))) | (~((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)))),
% 6.42/4.54 inference(tautology,[status(thm)],[])).
% 6.42/4.54 tff(3704,plain,
% 6.42/4.54 (~((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2))),
% 6.42/4.54 inference(unit_resolution,[status(thm)],[3703, 3702])).
% 6.42/4.54 tff(3705,plain,
% 6.42/4.54 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 6.42/4.54 inference(rewrite,[status(thm)],[])).
% 6.42/4.54 tff(3706,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5')).
% 6.42/4.54 tff(3707,plain,
% 6.42/4.54 (nextState(constB5, constB6)),
% 6.42/4.54 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 6.42/4.54 tff(3708,plain,
% 6.42/4.54 (((~![VarNext: $i, 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)))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3709,plain,
% 6.42/4.55 ((~![VarNext: $i, 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)))))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3710,plain,
% 6.42/4.55 ((~![VarNext: $i, 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))))),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3709, 3708])).
% 6.42/4.55 tff(3711,plain,
% 6.42/4.55 (~(((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0)))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3710, 3707, 505])).
% 6.42/4.55 tff(3712,plain,
% 6.42/4.55 ((((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0))) | (~((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)))),
% 6.42/4.55 inference(tautology,[status(thm)],[])).
% 6.42/4.55 tff(3713,plain,
% 6.42/4.55 (~((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3712, 3711])).
% 6.42/4.55 tff(3714,plain,
% 6.42/4.55 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB5) <=> v26(constB5))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3715,plain,
% 6.42/4.55 (v111(constB5) <=> v26(constB5)),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3714, 524])).
% 6.42/4.55 tff(3716,plain,
% 6.42/4.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3717,plain,
% 6.42/4.55 (~v26(constB5)),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3716, 536])).
% 6.42/4.55 tff(3718,plain,
% 6.42/4.55 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5)) | v26(constB5)),
% 6.42/4.55 inference(tautology,[status(thm)],[])).
% 6.42/4.55 tff(3719,plain,
% 6.42/4.55 ((~(v111(constB5) <=> v26(constB5))) | (~v111(constB5))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3718, 3717])).
% 6.42/4.55 tff(3720,plain,
% 6.42/4.55 (~v111(constB5)),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3719, 3715])).
% 6.42/4.55 tff(3721,plain,
% 6.42/4.55 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB5) | (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB5) | (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3722,plain,
% 6.42/4.55 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB5) | (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)))))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3723,plain,
% 6.42/4.55 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB5) | (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1))))),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3722, 3721])).
% 6.42/4.55 tff(3724,plain,
% 6.42/4.55 (v111(constB5) | (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1))))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3723, 554])).
% 6.42/4.55 tff(3725,plain,
% 6.42/4.55 (~(((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3724, 3720])).
% 6.42/4.55 tff(3726,plain,
% 6.42/4.55 ((((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1))) | (~((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)))),
% 6.42/4.55 inference(tautology,[status(thm)],[])).
% 6.42/4.55 tff(3727,plain,
% 6.42/4.55 (~((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3726, 3725])).
% 6.42/4.55 tff(3728,plain,
% 6.42/4.55 (((~![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))))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3729,plain,
% 6.42/4.55 ((v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1))))) <=> (v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3730,plain,
% 6.42/4.55 (((~![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))))))),
% 6.42/4.55 inference(monotonicity,[status(thm)],[3729])).
% 6.42/4.55 tff(3731,plain,
% 6.42/4.55 (((~![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))))))),
% 6.42/4.55 inference(transitivity,[status(thm)],[3730, 3728])).
% 6.42/4.55 tff(3732,plain,
% 6.42/4.55 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex0) | v90(constB5, bitIndex2) | (~v90(constB5, bitIndex1)))))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3733,plain,
% 6.42/4.55 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)))))),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3732, 3731])).
% 6.42/4.55 tff(3734,plain,
% 6.42/4.55 (v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1))))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3733, 574])).
% 6.42/4.55 tff(3735,plain,
% 6.42/4.55 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3736,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4')).
% 6.42/4.55 tff(3737,plain,
% 6.42/4.55 (nextState(constB4, constB5)),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3736, 3735])).
% 6.42/4.55 tff(3738,plain,
% 6.42/4.55 (((~![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))))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3739,plain,
% 6.42/4.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3740,plain,
% 6.42/4.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB4, constB5)) | (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3739, 3738])).
% 6.42/4.55 tff(3741,plain,
% 6.42/4.55 (v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5))))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3740, 3737, 433])).
% 6.42/4.55 tff(3742,plain,
% 6.42/4.55 (((~![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))))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3743,plain,
% 6.42/4.55 (((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5)))))) <=> ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3744,plain,
% 6.42/4.55 (((~![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)))))))),
% 6.42/4.55 inference(monotonicity,[status(thm)],[3743])).
% 6.42/4.55 tff(3745,plain,
% 6.42/4.55 (((~![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))))))),
% 6.42/4.55 inference(transitivity,[status(thm)],[3744, 3742])).
% 6.42/4.55 tff(3746,plain,
% 6.42/4.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v102(constB5)) | (~v1(constB5))))))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3747,plain,
% 6.42/4.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 6.42/4.55 tff(3748,plain,
% 6.42/4.55 (v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5))))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3747, 3737, 453])).
% 6.42/4.55 tff(3749,plain,
% 6.42/4.55 ((~v1(constB5)) <=> (~v1(constB5))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3750,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5')).
% 6.42/4.55 tff(3751,plain,
% 6.42/4.55 (~v1(constB5)),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 6.42/4.55 tff(3752,plain,
% 6.42/4.55 (((~v1(constB5)) | (~v102(constB5))) | v1(constB5)),
% 6.42/4.55 inference(tautology,[status(thm)],[])).
% 6.42/4.55 tff(3753,plain,
% 6.42/4.55 ((~v1(constB5)) | (~v102(constB5))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3752, 3751])).
% 6.42/4.55 tff(3754,plain,
% 6.42/4.55 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5)) | (~((~v1(constB5)) | (~v102(constB5))))),
% 6.42/4.55 inference(tautology,[status(thm)],[])).
% 6.42/4.55 tff(3755,plain,
% 6.42/4.55 ((~(v101(constB5) <=> (~((~v1(constB5)) | (~v102(constB5)))))) | (~v101(constB5))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3754, 3753])).
% 6.42/4.55 tff(3756,plain,
% 6.42/4.55 (~v101(constB5)),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3755, 3748])).
% 6.42/4.55 tff(3757,plain,
% 6.42/4.55 (((~v101(constB5)) | (~v110(constB5))) | v101(constB5)),
% 6.42/4.55 inference(tautology,[status(thm)],[])).
% 6.42/4.55 tff(3758,plain,
% 6.42/4.55 ((~v101(constB5)) | (~v110(constB5))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3757, 3756])).
% 6.42/4.55 tff(3759,plain,
% 6.42/4.55 ((~(v100(constB5) <=> (~((~v101(constB5)) | (~v110(constB5)))))) | (~v100(constB5)) | (~((~v101(constB5)) | (~v110(constB5))))),
% 6.42/4.55 inference(tautology,[status(thm)],[])).
% 6.42/4.55 tff(3760,plain,
% 6.42/4.55 (~v100(constB5)),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3759, 3758, 3741])).
% 6.42/4.55 tff(3761,plain,
% 6.42/4.55 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3762,plain,
% 6.42/4.55 ((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)))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3763,plain,
% 6.42/4.55 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.42/4.55 inference(monotonicity,[status(thm)],[3762])).
% 6.42/4.55 tff(3764,plain,
% 6.42/4.55 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.55 inference(transitivity,[status(thm)],[3763, 3761])).
% 6.42/4.55 tff(3765,plain,
% 6.42/4.55 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3766,plain,
% 6.42/4.55 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 6.42/4.55 tff(3767,plain,
% 6.42/4.55 (v100(constB5) | (~(((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3766, 3737, 482])).
% 6.42/4.55 tff(3768,plain,
% 6.42/4.55 (~(((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3767, 3760])).
% 6.42/4.55 tff(3769,plain,
% 6.42/4.55 ((((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))) | (~((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)))),
% 6.42/4.55 inference(tautology,[status(thm)],[])).
% 6.42/4.55 tff(3770,plain,
% 6.42/4.55 (~((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3769, 3768])).
% 6.42/4.55 tff(3771,plain,
% 6.42/4.55 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3772,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3')).
% 6.42/4.55 tff(3773,plain,
% 6.42/4.55 (nextState(constB3, constB4)),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3772, 3771])).
% 6.42/4.55 tff(3774,plain,
% 6.42/4.55 (((~![VarNext: $i, 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)))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3775,plain,
% 6.42/4.55 ((~![VarNext: $i, 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)))))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3776,plain,
% 6.42/4.55 ((~![VarNext: $i, 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))))),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3775, 3774])).
% 6.42/4.55 tff(3777,plain,
% 6.42/4.55 (~(((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0)))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3776, 3773, 505])).
% 6.42/4.55 tff(3778,plain,
% 6.42/4.55 ((((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0))) | (~((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)))),
% 6.42/4.55 inference(tautology,[status(thm)],[])).
% 6.42/4.55 tff(3779,plain,
% 6.42/4.55 (~((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3778, 3777])).
% 6.42/4.55 tff(3780,plain,
% 6.42/4.55 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB3) <=> v26(constB3))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3781,plain,
% 6.42/4.55 (v111(constB3) <=> v26(constB3)),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3780, 524])).
% 6.42/4.55 tff(3782,plain,
% 6.42/4.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3783,plain,
% 6.42/4.55 (~v26(constB3)),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3782, 536])).
% 6.42/4.55 tff(3784,plain,
% 6.42/4.55 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3)) | v26(constB3)),
% 6.42/4.55 inference(tautology,[status(thm)],[])).
% 6.42/4.55 tff(3785,plain,
% 6.42/4.55 ((~(v111(constB3) <=> v26(constB3))) | (~v111(constB3))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3784, 3783])).
% 6.42/4.55 tff(3786,plain,
% 6.42/4.55 (~v111(constB3)),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3785, 3781])).
% 6.42/4.55 tff(3787,plain,
% 6.42/4.55 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB3) | (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB3) | (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3788,plain,
% 6.42/4.55 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB3) | (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)))))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3789,plain,
% 6.42/4.55 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB3) | (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1))))),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3788, 3787])).
% 6.42/4.55 tff(3790,plain,
% 6.42/4.55 (v111(constB3) | (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1))))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3789, 554])).
% 6.42/4.55 tff(3791,plain,
% 6.42/4.55 (~(((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3790, 3786])).
% 6.42/4.55 tff(3792,plain,
% 6.42/4.55 ((((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1))) | (~((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)))),
% 6.42/4.55 inference(tautology,[status(thm)],[])).
% 6.42/4.55 tff(3793,plain,
% 6.42/4.55 (~((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3792, 3791])).
% 6.42/4.55 tff(3794,plain,
% 6.42/4.55 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0)))))),
% 6.42/4.55 inference(quant_inst,[status(thm)],[])).
% 6.42/4.55 tff(3795,plain,
% 6.42/4.55 (v120(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0))))),
% 6.42/4.55 inference(unit_resolution,[status(thm)],[3794, 653])).
% 6.42/4.55 tff(3796,plain,
% 6.42/4.55 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3797,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2')).
% 6.42/4.55 tff(3798,plain,
% 6.42/4.55 (nextState(constB2, constB3)),
% 6.42/4.55 inference(modus_ponens,[status(thm)],[3797, 3796])).
% 6.42/4.55 tff(3799,plain,
% 6.42/4.55 (((~![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))))))),
% 6.42/4.55 inference(rewrite,[status(thm)],[])).
% 6.42/4.55 tff(3800,plain,
% 6.42/4.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))))),
% 6.42/4.56 inference(quant_inst,[status(thm)],[])).
% 6.42/4.56 tff(3801,plain,
% 6.42/4.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB2, constB3)) | (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 6.42/4.56 tff(3802,plain,
% 6.42/4.56 (v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3))))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3801, 3798, 433])).
% 6.42/4.56 tff(3803,plain,
% 6.42/4.56 (((~![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))))))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3804,plain,
% 6.42/4.56 (((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3)))))) <=> ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3805,plain,
% 6.42/4.56 (((~![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)))))))),
% 6.42/4.56 inference(monotonicity,[status(thm)],[3804])).
% 6.42/4.56 tff(3806,plain,
% 6.42/4.56 (((~![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))))))),
% 6.42/4.56 inference(transitivity,[status(thm)],[3805, 3803])).
% 6.42/4.56 tff(3807,plain,
% 6.42/4.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v102(constB3)) | (~v1(constB3))))))),
% 6.42/4.56 inference(quant_inst,[status(thm)],[])).
% 6.42/4.56 tff(3808,plain,
% 6.42/4.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 6.42/4.56 tff(3809,plain,
% 6.42/4.56 (v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3))))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3808, 3798, 453])).
% 6.42/4.56 tff(3810,plain,
% 6.42/4.56 ((~v1(constB3)) <=> (~v1(constB3))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3811,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3')).
% 6.42/4.56 tff(3812,plain,
% 6.42/4.56 (~v1(constB3)),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3811, 3810])).
% 6.42/4.56 tff(3813,plain,
% 6.42/4.56 (((~v1(constB3)) | (~v102(constB3))) | v1(constB3)),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3814,plain,
% 6.42/4.56 ((~v1(constB3)) | (~v102(constB3))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3813, 3812])).
% 6.42/4.56 tff(3815,plain,
% 6.42/4.56 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3)) | (~((~v1(constB3)) | (~v102(constB3))))),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3816,plain,
% 6.42/4.56 ((~(v101(constB3) <=> (~((~v1(constB3)) | (~v102(constB3)))))) | (~v101(constB3))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3815, 3814])).
% 6.42/4.56 tff(3817,plain,
% 6.42/4.56 (~v101(constB3)),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3816, 3809])).
% 6.42/4.56 tff(3818,plain,
% 6.42/4.56 (((~v101(constB3)) | (~v110(constB3))) | v101(constB3)),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3819,plain,
% 6.42/4.56 ((~v101(constB3)) | (~v110(constB3))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3818, 3817])).
% 6.42/4.56 tff(3820,plain,
% 6.42/4.56 ((~(v100(constB3) <=> (~((~v101(constB3)) | (~v110(constB3)))))) | (~v100(constB3)) | (~((~v101(constB3)) | (~v110(constB3))))),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3821,plain,
% 6.42/4.56 (~v100(constB3)),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3820, 3819, 3802])).
% 6.42/4.56 tff(3822,plain,
% 6.42/4.56 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3823,plain,
% 6.42/4.56 ((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)))))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3824,plain,
% 6.42/4.56 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.42/4.56 inference(monotonicity,[status(thm)],[3823])).
% 6.42/4.56 tff(3825,plain,
% 6.42/4.56 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.56 inference(transitivity,[status(thm)],[3824, 3822])).
% 6.42/4.56 tff(3826,plain,
% 6.42/4.56 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.56 inference(quant_inst,[status(thm)],[])).
% 6.42/4.56 tff(3827,plain,
% 6.42/4.56 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3826, 3825])).
% 6.42/4.56 tff(3828,plain,
% 6.42/4.56 (v100(constB3) | (~(((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3827, 3798, 482])).
% 6.42/4.56 tff(3829,plain,
% 6.42/4.56 (~(((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3828, 3821])).
% 6.42/4.56 tff(3830,plain,
% 6.42/4.56 ((((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))) | (~((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)))),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3831,plain,
% 6.42/4.56 (~((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3830, 3829])).
% 6.42/4.56 tff(3832,plain,
% 6.42/4.56 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3833,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1')).
% 6.42/4.56 tff(3834,plain,
% 6.42/4.56 (nextState(constB1, constB2)),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3833, 3832])).
% 6.42/4.56 tff(3835,plain,
% 6.42/4.56 (((~![VarNext: $i, 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)))))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3836,plain,
% 6.42/4.56 ((~![VarNext: $i, 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)))))),
% 6.42/4.56 inference(quant_inst,[status(thm)],[])).
% 6.42/4.56 tff(3837,plain,
% 6.42/4.56 ((~![VarNext: $i, 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))))),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 6.42/4.56 tff(3838,plain,
% 6.42/4.56 (~(((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0)))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3837, 3834, 505])).
% 6.42/4.56 tff(3839,plain,
% 6.42/4.56 ((((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0))) | (~((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)))),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3840,plain,
% 6.42/4.56 (~((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3839, 3838])).
% 6.42/4.56 tff(3841,plain,
% 6.42/4.56 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB1) <=> v26(constB1))),
% 6.42/4.56 inference(quant_inst,[status(thm)],[])).
% 6.42/4.56 tff(3842,plain,
% 6.42/4.56 (v111(constB1) <=> v26(constB1)),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3841, 524])).
% 6.42/4.56 tff(3843,plain,
% 6.42/4.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 6.42/4.56 inference(quant_inst,[status(thm)],[])).
% 6.42/4.56 tff(3844,plain,
% 6.42/4.56 (~v26(constB1)),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3843, 536])).
% 6.42/4.56 tff(3845,plain,
% 6.42/4.56 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1)) | v26(constB1)),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3846,plain,
% 6.42/4.56 ((~(v111(constB1) <=> v26(constB1))) | (~v111(constB1))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3845, 3844])).
% 6.42/4.56 tff(3847,plain,
% 6.42/4.56 (~v111(constB1)),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3846, 3842])).
% 6.42/4.56 tff(3848,plain,
% 6.42/4.56 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB1) | (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB1) | (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)))))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3849,plain,
% 6.42/4.56 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB1) | (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)))))),
% 6.42/4.56 inference(quant_inst,[status(thm)],[])).
% 6.42/4.56 tff(3850,plain,
% 6.42/4.56 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB1) | (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1))))),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3849, 3848])).
% 6.42/4.56 tff(3851,plain,
% 6.42/4.56 (v111(constB1) | (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1))))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3850, 554])).
% 6.42/4.56 tff(3852,plain,
% 6.42/4.56 (~(((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3851, 3847])).
% 6.42/4.56 tff(3853,plain,
% 6.42/4.56 ((((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1))) | (~((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)))),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3854,plain,
% 6.42/4.56 (~((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3853, 3852])).
% 6.42/4.56 tff(3855,plain,
% 6.42/4.56 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))),
% 6.42/4.56 inference(quant_inst,[status(thm)],[])).
% 6.42/4.56 tff(3856,plain,
% 6.42/4.56 (v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3855, 727])).
% 6.42/4.56 tff(3857,plain,
% 6.42/4.56 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3858,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom')).
% 6.42/4.56 tff(3859,plain,
% 6.42/4.56 (nextState(constB0, constB1)),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3858, 3857])).
% 6.42/4.56 tff(3860,plain,
% 6.42/4.56 (((~![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))))))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3861,plain,
% 6.42/4.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))))),
% 6.42/4.56 inference(quant_inst,[status(thm)],[])).
% 6.42/4.56 tff(3862,plain,
% 6.42/4.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB0, constB1)) | (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3861, 3860])).
% 6.42/4.56 tff(3863,plain,
% 6.42/4.56 (v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1))))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3862, 3859, 433])).
% 6.42/4.56 tff(3864,plain,
% 6.42/4.56 (((~![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))))))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3865,plain,
% 6.42/4.56 (((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1)))))) <=> ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3866,plain,
% 6.42/4.56 (((~![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)))))))),
% 6.42/4.56 inference(monotonicity,[status(thm)],[3865])).
% 6.42/4.56 tff(3867,plain,
% 6.42/4.56 (((~![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))))))),
% 6.42/4.56 inference(transitivity,[status(thm)],[3866, 3864])).
% 6.42/4.56 tff(3868,plain,
% 6.42/4.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v102(constB1)) | (~v1(constB1))))))),
% 6.42/4.56 inference(quant_inst,[status(thm)],[])).
% 6.42/4.56 tff(3869,plain,
% 6.42/4.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3868, 3867])).
% 6.42/4.56 tff(3870,plain,
% 6.42/4.56 (v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1))))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3869, 3859, 453])).
% 6.42/4.56 tff(3871,plain,
% 6.42/4.56 ((~v1(constB1)) <=> (~v1(constB1))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3872,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1')).
% 6.42/4.56 tff(3873,plain,
% 6.42/4.56 (~v1(constB1)),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3872, 3871])).
% 6.42/4.56 tff(3874,plain,
% 6.42/4.56 (((~v1(constB1)) | (~v102(constB1))) | v1(constB1)),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3875,plain,
% 6.42/4.56 ((~v1(constB1)) | (~v102(constB1))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3874, 3873])).
% 6.42/4.56 tff(3876,plain,
% 6.42/4.56 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1)) | (~((~v1(constB1)) | (~v102(constB1))))),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3877,plain,
% 6.42/4.56 ((~(v101(constB1) <=> (~((~v1(constB1)) | (~v102(constB1)))))) | (~v101(constB1))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3876, 3875])).
% 6.42/4.56 tff(3878,plain,
% 6.42/4.56 (~v101(constB1)),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3877, 3870])).
% 6.42/4.56 tff(3879,plain,
% 6.42/4.56 (((~v101(constB1)) | (~v110(constB1))) | v101(constB1)),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3880,plain,
% 6.42/4.56 ((~v101(constB1)) | (~v110(constB1))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3879, 3878])).
% 6.42/4.56 tff(3881,plain,
% 6.42/4.56 ((~(v100(constB1) <=> (~((~v101(constB1)) | (~v110(constB1)))))) | (~v100(constB1)) | (~((~v101(constB1)) | (~v110(constB1))))),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3882,plain,
% 6.42/4.56 (~v100(constB1)),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3881, 3880, 3863])).
% 6.42/4.56 tff(3883,plain,
% 6.42/4.56 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3884,plain,
% 6.42/4.56 ((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)))))),
% 6.42/4.56 inference(rewrite,[status(thm)],[])).
% 6.42/4.56 tff(3885,plain,
% 6.42/4.56 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 6.42/4.56 inference(monotonicity,[status(thm)],[3884])).
% 6.42/4.56 tff(3886,plain,
% 6.42/4.56 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.56 inference(transitivity,[status(thm)],[3885, 3883])).
% 6.42/4.56 tff(3887,plain,
% 6.42/4.56 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 6.42/4.56 inference(quant_inst,[status(thm)],[])).
% 6.42/4.56 tff(3888,plain,
% 6.42/4.56 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 6.42/4.56 inference(modus_ponens,[status(thm)],[3887, 3886])).
% 6.42/4.56 tff(3889,plain,
% 6.42/4.56 (v100(constB1) | (~(((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3888, 3859, 482])).
% 6.42/4.56 tff(3890,plain,
% 6.42/4.56 (~(((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3889, 3882])).
% 6.42/4.56 tff(3891,plain,
% 6.42/4.56 ((((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))) | (~((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)))),
% 6.42/4.56 inference(tautology,[status(thm)],[])).
% 6.42/4.56 tff(3892,plain,
% 6.42/4.56 (~((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0))),
% 6.42/4.56 inference(unit_resolution,[status(thm)],[3891, 3890])).
% 6.42/4.56 tff(3893,plain,
% 6.42/4.56 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3894,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2')).
% 6.42/4.57 tff(3895,plain,
% 6.42/4.57 (~v90(constB0, bitIndex0)),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3894, 3893])).
% 6.42/4.57 tff(3896,plain,
% 6.42/4.57 (((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | (~v90(constB1, bitIndex0)) | v90(constB0, bitIndex0)),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3897,plain,
% 6.42/4.57 (((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | (~v90(constB1, bitIndex0))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3896, 3895])).
% 6.42/4.57 tff(3898,plain,
% 6.42/4.57 (~v90(constB1, bitIndex0)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3897, 3892])).
% 6.42/4.57 tff(3899,plain,
% 6.42/4.57 ((((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))) | (~((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3900,plain,
% 6.42/4.57 (~((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3899, 3890])).
% 6.42/4.57 tff(3901,plain,
% 6.42/4.57 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3902,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4')).
% 6.42/4.57 tff(3903,plain,
% 6.42/4.57 (~v90(constB0, bitIndex2)),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3902, 3901])).
% 6.42/4.57 tff(3904,plain,
% 6.42/4.57 (((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | (~v90(constB1, bitIndex2)) | v90(constB0, bitIndex2)),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3905,plain,
% 6.42/4.57 (((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | (~v90(constB1, bitIndex2))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3904, 3903])).
% 6.42/4.57 tff(3906,plain,
% 6.42/4.57 (~v90(constB1, bitIndex2)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3905, 3900])).
% 6.42/4.57 tff(3907,plain,
% 6.42/4.57 ((((~v90(constB1, bitIndex0)) <=> v90(constB0, bitIndex0)) | ((~v90(constB1, bitIndex2)) <=> v90(constB0, bitIndex2)) | ((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))) | (~((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3908,plain,
% 6.42/4.57 (~((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3907, 3890])).
% 6.42/4.57 tff(3909,plain,
% 6.42/4.57 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3910,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3')).
% 6.42/4.57 tff(3911,plain,
% 6.42/4.57 (~v90(constB0, bitIndex1)),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3910, 3909])).
% 6.42/4.57 tff(3912,plain,
% 6.42/4.57 (((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)) | (~v90(constB1, bitIndex1)) | v90(constB0, bitIndex1)),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3913,plain,
% 6.42/4.57 (((~v90(constB1, bitIndex1)) <=> v90(constB0, bitIndex1)) | (~v90(constB1, bitIndex1))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3912, 3911])).
% 6.42/4.57 tff(3914,plain,
% 6.42/4.57 (~v90(constB1, bitIndex1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3913, 3908])).
% 6.42/4.57 tff(3915,plain,
% 6.42/4.57 ((~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3916,plain,
% 6.42/4.57 (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3915, 3914, 3906, 3898])).
% 6.42/4.57 tff(3917,plain,
% 6.42/4.57 ((~(v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))) | v119(constB1) | (v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3918,plain,
% 6.42/4.57 ((~(v119(constB1) <=> (~(v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))))) | v119(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3917, 3916])).
% 6.42/4.57 tff(3919,plain,
% 6.42/4.57 (v119(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3918, 3856])).
% 6.42/4.57 tff(3920,plain,
% 6.42/4.57 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0))))) <=> ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0))))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(3921,plain,
% 6.42/4.57 (![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[3920])).
% 6.42/4.57 tff(3922,plain,
% 6.42/4.57 (^[VarCurr: $i] : rewrite(((~v119(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0))) <=> ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0))))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(3923,plain,
% 6.42/4.57 (![VarCurr: $i] : ((~v119(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[3922])).
% 6.42/4.57 tff(3924,plain,
% 6.42/4.57 (![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)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3925,plain,
% 6.42/4.57 (^[VarCurr: $i] : trans(monotonicity(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) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> (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) <=> $false) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> ((~v119(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(3926,plain,
% 6.42/4.57 (![VarCurr: $i] : (v119(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[3925])).
% 6.42/4.57 tff(3927,axiom,(![VarCurr: $i] : (v119(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $false) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0')).
% 6.42/4.57 tff(3928,plain,
% 6.42/4.57 (![VarCurr: $i] : ((~v119(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3927, 3926])).
% 6.42/4.57 tff(3929,plain,
% 6.42/4.57 (![VarCurr: $i] : ((~v119(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3928, 3924])).
% 6.42/4.57 tff(3930,plain,(
% 6.42/4.57 ![VarCurr: $i] : ((~v119(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[3929])).
% 6.42/4.57 tff(3931,plain,
% 6.42/4.57 (![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3930, 3923])).
% 6.42/4.57 tff(3932,plain,
% 6.42/4.57 (![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3931, 3921])).
% 6.42/4.57 tff(3933,plain,
% 6.42/4.57 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | ((~v119(constB1)) | (~(v130(constB1, bitIndex2) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (~v119(constB1)) | (~(v130(constB1, bitIndex2) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex0)))))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3934,plain,
% 6.42/4.57 (((~v119(constB1)) | (~(v130(constB1, bitIndex1) | v130(constB1, bitIndex2) | (~v130(constB1, bitIndex0))))) <=> ((~v119(constB1)) | (~(v130(constB1, bitIndex2) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex0)))))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3935,plain,
% 6.42/4.57 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | ((~v119(constB1)) | (~(v130(constB1, bitIndex1) | v130(constB1, bitIndex2) | (~v130(constB1, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | ((~v119(constB1)) | (~(v130(constB1, bitIndex2) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex0))))))),
% 6.42/4.57 inference(monotonicity,[status(thm)],[3934])).
% 6.42/4.57 tff(3936,plain,
% 6.42/4.57 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | ((~v119(constB1)) | (~(v130(constB1, bitIndex1) | v130(constB1, bitIndex2) | (~v130(constB1, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (~v119(constB1)) | (~(v130(constB1, bitIndex2) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex0)))))),
% 6.42/4.57 inference(transitivity,[status(thm)],[3935, 3933])).
% 6.42/4.57 tff(3937,plain,
% 6.42/4.57 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | ((~v119(constB1)) | (~(v130(constB1, bitIndex1) | v130(constB1, bitIndex2) | (~v130(constB1, bitIndex0)))))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(3938,plain,
% 6.42/4.57 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (~v119(constB1)) | (~(v130(constB1, bitIndex2) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex0))))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3937, 3936])).
% 6.42/4.57 tff(3939,plain,
% 6.42/4.57 (~(v130(constB1, bitIndex2) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex0)))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3938, 3932, 3919])).
% 6.42/4.57 tff(3940,plain,
% 6.42/4.57 ((v130(constB1, bitIndex2) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex0))) | (~v130(constB1, bitIndex2))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3941,plain,
% 6.42/4.57 (~v130(constB1, bitIndex2)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3940, 3939])).
% 6.42/4.57 tff(3942,plain,
% 6.42/4.57 (((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | (~v127(constB1, bitIndex2)) | v130(constB1, bitIndex2)),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3943,plain,
% 6.42/4.57 (~v127(constB1, bitIndex2)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3942, 3941, 3854])).
% 6.42/4.57 tff(3944,plain,
% 6.42/4.57 (((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | (~v129(constB2, bitIndex2)) | v127(constB1, bitIndex2)),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3945,plain,
% 6.42/4.57 (~v129(constB2, bitIndex2)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3944, 3943, 3840])).
% 6.42/4.57 tff(3946,plain,
% 6.42/4.57 (((~![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))))))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3947,plain,
% 6.42/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(3948,plain,
% 6.42/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB1, constB2)) | (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3947, 3946])).
% 6.42/4.57 tff(3949,plain,
% 6.42/4.57 (v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2))))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3948, 3834, 433])).
% 6.42/4.57 tff(3950,plain,
% 6.42/4.57 (((~![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))))))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3951,plain,
% 6.42/4.57 (((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2)))))) <=> ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3952,plain,
% 6.42/4.57 (((~![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)))))))),
% 6.42/4.57 inference(monotonicity,[status(thm)],[3951])).
% 6.42/4.57 tff(3953,plain,
% 6.42/4.57 (((~![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))))))),
% 6.42/4.57 inference(transitivity,[status(thm)],[3952, 3950])).
% 6.42/4.57 tff(3954,plain,
% 6.42/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v102(constB2)) | (~v1(constB2))))))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(3955,plain,
% 6.42/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3954, 3953])).
% 6.42/4.57 tff(3956,plain,
% 6.42/4.57 (v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2))))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3955, 3834, 453])).
% 6.42/4.57 tff(3957,plain,
% 6.42/4.57 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(3958,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[3957])).
% 6.42/4.57 tff(3959,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3960,plain,
% 6.42/4.57 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(3961,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[3960])).
% 6.42/4.57 tff(3962,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => ((~v102(VarNext)) <=> v104(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_12')).
% 6.42/4.57 tff(3963,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3962, 3961])).
% 6.42/4.57 tff(3964,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3963, 3959])).
% 6.42/4.57 tff(3965,plain,(
% 6.42/4.57 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[3964])).
% 6.42/4.57 tff(3966,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3965, 3958])).
% 6.42/4.57 tff(3967,plain,
% 6.42/4.57 (((~![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)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3968,plain,
% 6.42/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2)))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(3969,plain,
% 6.42/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB1, constB2)) | ((~v102(constB2)) <=> v104(constB2))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3968, 3967])).
% 6.42/4.57 tff(3970,plain,
% 6.42/4.57 ((~v102(constB2)) <=> v104(constB2)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3969, 3834, 3966])).
% 6.42/4.57 tff(3971,plain,
% 6.42/4.57 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(3972,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[3971])).
% 6.42/4.57 tff(3973,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3974,plain,
% 6.42/4.57 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(3975,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[3974])).
% 6.42/4.57 tff(3976,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5')).
% 6.42/4.57 tff(3977,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 6.42/4.57 tff(3978,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3977, 3973])).
% 6.42/4.57 tff(3979,plain,(
% 6.42/4.57 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[3978])).
% 6.42/4.57 tff(3980,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3979, 3972])).
% 6.42/4.57 tff(3981,plain,
% 6.42/4.57 (((~![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)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3982,plain,
% 6.42/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1)))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(3983,plain,
% 6.42/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v1(constB1))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3982, 3981])).
% 6.42/4.57 tff(3984,plain,
% 6.42/4.57 (v104(constB2) <=> v1(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3983, 3834, 3980])).
% 6.42/4.57 tff(3985,plain,
% 6.42/4.57 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2)) | v1(constB1)),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3986,plain,
% 6.42/4.57 ((~(v104(constB2) <=> v1(constB1))) | (~v104(constB2))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3985, 3873])).
% 6.42/4.57 tff(3987,plain,
% 6.42/4.57 (~v104(constB2)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3986, 3984])).
% 6.42/4.57 tff(3988,plain,
% 6.42/4.57 ((~((~v102(constB2)) <=> v104(constB2))) | v102(constB2) | v104(constB2)),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3989,plain,
% 6.42/4.57 (v102(constB2)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3988, 3987, 3970])).
% 6.42/4.57 tff(3990,plain,
% 6.42/4.57 (v1(constB2) <=> v1(constB2)),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(3991,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2')).
% 6.42/4.57 tff(3992,plain,
% 6.42/4.57 (v1(constB2)),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[3991, 3990])).
% 6.42/4.57 tff(3993,plain,
% 6.42/4.57 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v1(constB2)) | (~v102(constB2))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3994,plain,
% 6.42/4.57 ((~((~v1(constB2)) | (~v102(constB2)))) | (~v102(constB2))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3993, 3992])).
% 6.42/4.57 tff(3995,plain,
% 6.42/4.57 (~((~v1(constB2)) | (~v102(constB2)))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3994, 3989])).
% 6.42/4.57 tff(3996,plain,
% 6.42/4.57 ((~(v101(constB2) <=> (~((~v1(constB2)) | (~v102(constB2)))))) | v101(constB2) | ((~v1(constB2)) | (~v102(constB2)))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(3997,plain,
% 6.42/4.57 (v101(constB2)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[3996, 3995, 3956])).
% 6.42/4.57 tff(3998,plain,
% 6.42/4.57 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(3999,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[3998])).
% 6.42/4.57 tff(4000,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(4001,plain,
% 6.42/4.57 (^[VarNext: $i, VarCurr: $i] : rewrite((nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(4002,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[4001])).
% 6.42/4.57 tff(4003,axiom,(![VarNext: $i, VarCurr: $i] : (nextState(VarCurr, VarNext) => (v110(VarNext) <=> v108(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6')).
% 6.42/4.57 tff(4004,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4003, 4002])).
% 6.42/4.57 tff(4005,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4004, 4000])).
% 6.42/4.57 tff(4006,plain,(
% 6.42/4.57 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[4005])).
% 6.42/4.57 tff(4007,plain,
% 6.42/4.57 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4006, 3999])).
% 6.42/4.57 tff(4008,plain,
% 6.42/4.57 (((~![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)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(4009,plain,
% 6.42/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1)))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(4010,plain,
% 6.42/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB1, constB2)) | (v110(constB2) <=> v108(constB1))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4009, 4008])).
% 6.42/4.57 tff(4011,plain,
% 6.42/4.57 (v110(constB2) <=> v108(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4010, 3834, 4007])).
% 6.42/4.57 tff(4012,plain,
% 6.42/4.57 (^[VarCurr: $i] : refl((v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(4013,plain,
% 6.42/4.57 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[4012])).
% 6.42/4.57 tff(4014,plain,
% 6.42/4.57 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(4015,axiom,(![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26')).
% 6.42/4.57 tff(4016,plain,
% 6.42/4.57 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4015, 4014])).
% 6.42/4.57 tff(4017,plain,(
% 6.42/4.57 ![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[4016])).
% 6.42/4.57 tff(4018,plain,
% 6.42/4.57 (![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4017, 4013])).
% 6.42/4.57 tff(4019,plain,
% 6.42/4.57 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB1) <=> (v111(constB1) | v112(constB1)))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(4020,plain,
% 6.42/4.57 (v108(constB1) <=> (v111(constB1) | v112(constB1))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4019, 4018])).
% 6.42/4.57 tff(4021,plain,
% 6.42/4.57 (^[VarCurr: $i] : refl((v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(4022,plain,
% 6.42/4.57 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[4021])).
% 6.42/4.57 tff(4023,plain,
% 6.42/4.57 (^[VarCurr: $i] : rewrite((v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr))))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(4024,plain,
% 6.42/4.57 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[4023])).
% 6.42/4.57 tff(4025,plain,
% 6.42/4.57 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(4026,axiom,(![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25')).
% 6.42/4.57 tff(4027,plain,
% 6.42/4.57 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4026, 4025])).
% 6.42/4.57 tff(4028,plain,(
% 6.42/4.57 ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) & v126(VarCurr)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[4027])).
% 6.42/4.57 tff(4029,plain,
% 6.42/4.57 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4028, 4024])).
% 6.42/4.57 tff(4030,plain,
% 6.42/4.57 (![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4029, 4022])).
% 6.42/4.57 tff(4031,plain,
% 6.42/4.57 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(4032,plain,
% 6.42/4.57 (v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1))))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4031, 4030])).
% 6.42/4.57 tff(4033,plain,
% 6.42/4.57 (^[VarCurr: $i] : refl((v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(4034,plain,
% 6.42/4.57 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[4033])).
% 6.42/4.57 tff(4035,plain,
% 6.42/4.57 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(4036,axiom,(![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24')).
% 6.42/4.57 tff(4037,plain,
% 6.42/4.57 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4036, 4035])).
% 6.42/4.57 tff(4038,plain,(
% 6.42/4.57 ![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[4037])).
% 6.42/4.57 tff(4039,plain,
% 6.42/4.57 (![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4038, 4034])).
% 6.42/4.57 tff(4040,plain,
% 6.42/4.57 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB1) <=> (v114(constB1) | v125(constB1)))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(4041,plain,
% 6.42/4.57 (v113(constB1) <=> (v114(constB1) | v125(constB1))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4040, 4039])).
% 6.42/4.57 tff(4042,plain,
% 6.42/4.57 (^[VarCurr: $i] : refl((v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(4043,plain,
% 6.42/4.57 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[4042])).
% 6.42/4.57 tff(4044,plain,
% 6.42/4.57 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(4045,axiom,(![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23')).
% 6.42/4.57 tff(4046,plain,
% 6.42/4.57 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4045, 4044])).
% 6.42/4.57 tff(4047,plain,(
% 6.42/4.57 ![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[4046])).
% 6.42/4.57 tff(4048,plain,
% 6.42/4.57 (![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4047, 4043])).
% 6.42/4.57 tff(4049,plain,
% 6.42/4.57 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB1) <=> (v115(constB1) | v124(constB1)))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(4050,plain,
% 6.42/4.57 (v114(constB1) <=> (v115(constB1) | v124(constB1))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4049, 4048])).
% 6.42/4.57 tff(4051,plain,
% 6.42/4.57 (^[VarCurr: $i] : refl((v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(4052,plain,
% 6.42/4.57 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[4051])).
% 6.42/4.57 tff(4053,plain,
% 6.42/4.57 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(4054,axiom,(![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22')).
% 6.42/4.57 tff(4055,plain,
% 6.42/4.57 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4054, 4053])).
% 6.42/4.57 tff(4056,plain,(
% 6.42/4.57 ![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[4055])).
% 6.42/4.57 tff(4057,plain,
% 6.42/4.57 (![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4056, 4052])).
% 6.42/4.57 tff(4058,plain,
% 6.42/4.57 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB1) <=> (v116(constB1) | v123(constB1)))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(4059,plain,
% 6.42/4.57 (v115(constB1) <=> (v116(constB1) | v123(constB1))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4058, 4057])).
% 6.42/4.57 tff(4060,plain,
% 6.42/4.57 (^[VarCurr: $i] : refl((v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(4061,plain,
% 6.42/4.57 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[4060])).
% 6.42/4.57 tff(4062,plain,
% 6.42/4.57 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(4063,axiom,(![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21')).
% 6.42/4.57 tff(4064,plain,
% 6.42/4.57 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4063, 4062])).
% 6.42/4.57 tff(4065,plain,(
% 6.42/4.57 ![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[4064])).
% 6.42/4.57 tff(4066,plain,
% 6.42/4.57 (![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4065, 4061])).
% 6.42/4.57 tff(4067,plain,
% 6.42/4.57 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB1) <=> (v117(constB1) | v122(constB1)))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(4068,plain,
% 6.42/4.57 (v116(constB1) <=> (v117(constB1) | v122(constB1))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4067, 4066])).
% 6.42/4.57 tff(4069,plain,
% 6.42/4.57 (^[VarCurr: $i] : refl((v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(4070,plain,
% 6.42/4.57 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[4069])).
% 6.42/4.57 tff(4071,plain,
% 6.42/4.57 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(4072,axiom,(![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20')).
% 6.42/4.57 tff(4073,plain,
% 6.42/4.57 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4072, 4071])).
% 6.42/4.57 tff(4074,plain,(
% 6.42/4.57 ![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[4073])).
% 6.42/4.57 tff(4075,plain,
% 6.42/4.57 (![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4074, 4070])).
% 6.42/4.57 tff(4076,plain,
% 6.42/4.57 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB1) <=> (v118(constB1) | v121(constB1)))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(4077,plain,
% 6.42/4.57 (v117(constB1) <=> (v118(constB1) | v121(constB1))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4076, 4075])).
% 6.42/4.57 tff(4078,plain,
% 6.42/4.57 (^[VarCurr: $i] : refl((v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))))),
% 6.42/4.57 inference(bind,[status(th)],[])).
% 6.42/4.57 tff(4079,plain,
% 6.42/4.57 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.42/4.57 inference(quant_intro,[status(thm)],[4078])).
% 6.42/4.57 tff(4080,plain,
% 6.42/4.57 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.42/4.57 inference(rewrite,[status(thm)],[])).
% 6.42/4.57 tff(4081,axiom,(![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19')).
% 6.42/4.57 tff(4082,plain,
% 6.42/4.57 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4081, 4080])).
% 6.42/4.57 tff(4083,plain,(
% 6.42/4.57 ![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.42/4.57 inference(skolemize,[status(sab)],[4082])).
% 6.42/4.57 tff(4084,plain,
% 6.42/4.57 (![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))),
% 6.42/4.57 inference(modus_ponens,[status(thm)],[4083, 4079])).
% 6.42/4.57 tff(4085,plain,
% 6.42/4.57 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB1) <=> (v119(constB1) | v120(constB1)))),
% 6.42/4.57 inference(quant_inst,[status(thm)],[])).
% 6.42/4.57 tff(4086,plain,
% 6.42/4.57 (v118(constB1) <=> (v119(constB1) | v120(constB1))),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4085, 4084])).
% 6.42/4.57 tff(4087,plain,
% 6.42/4.57 ((v119(constB1) | v120(constB1)) | (~v119(constB1))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(4088,plain,
% 6.42/4.57 (v119(constB1) | v120(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4087, 3919])).
% 6.42/4.57 tff(4089,plain,
% 6.42/4.57 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1) | (~(v119(constB1) | v120(constB1)))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(4090,plain,
% 6.42/4.57 ((~(v118(constB1) <=> (v119(constB1) | v120(constB1)))) | v118(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4089, 4088])).
% 6.42/4.57 tff(4091,plain,
% 6.42/4.57 (v118(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4090, 4086])).
% 6.42/4.57 tff(4092,plain,
% 6.42/4.57 ((v118(constB1) | v121(constB1)) | (~v118(constB1))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(4093,plain,
% 6.42/4.57 (v118(constB1) | v121(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4092, 4091])).
% 6.42/4.57 tff(4094,plain,
% 6.42/4.57 ((~(v117(constB1) <=> (v118(constB1) | v121(constB1)))) | v117(constB1) | (~(v118(constB1) | v121(constB1)))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(4095,plain,
% 6.42/4.57 (v117(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4094, 4093, 4077])).
% 6.42/4.57 tff(4096,plain,
% 6.42/4.57 ((v117(constB1) | v122(constB1)) | (~v117(constB1))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(4097,plain,
% 6.42/4.57 (v117(constB1) | v122(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4096, 4095])).
% 6.42/4.57 tff(4098,plain,
% 6.42/4.57 ((~(v116(constB1) <=> (v117(constB1) | v122(constB1)))) | v116(constB1) | (~(v117(constB1) | v122(constB1)))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(4099,plain,
% 6.42/4.57 (v116(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4098, 4097, 4068])).
% 6.42/4.57 tff(4100,plain,
% 6.42/4.57 ((v116(constB1) | v123(constB1)) | (~v116(constB1))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(4101,plain,
% 6.42/4.57 (v116(constB1) | v123(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4100, 4099])).
% 6.42/4.57 tff(4102,plain,
% 6.42/4.57 ((~(v115(constB1) <=> (v116(constB1) | v123(constB1)))) | v115(constB1) | (~(v116(constB1) | v123(constB1)))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(4103,plain,
% 6.42/4.57 (v115(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4102, 4101, 4059])).
% 6.42/4.57 tff(4104,plain,
% 6.42/4.57 ((v115(constB1) | v124(constB1)) | (~v115(constB1))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(4105,plain,
% 6.42/4.57 (v115(constB1) | v124(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4104, 4103])).
% 6.42/4.57 tff(4106,plain,
% 6.42/4.57 ((~(v114(constB1) <=> (v115(constB1) | v124(constB1)))) | v114(constB1) | (~(v115(constB1) | v124(constB1)))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(4107,plain,
% 6.42/4.57 (v114(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4106, 4105, 4050])).
% 6.42/4.57 tff(4108,plain,
% 6.42/4.57 ((v114(constB1) | v125(constB1)) | (~v114(constB1))),
% 6.42/4.57 inference(tautology,[status(thm)],[])).
% 6.42/4.57 tff(4109,plain,
% 6.42/4.57 (v114(constB1) | v125(constB1)),
% 6.42/4.57 inference(unit_resolution,[status(thm)],[4108, 4107])).
% 6.46/4.57 tff(4110,plain,
% 6.46/4.57 ((~(v113(constB1) <=> (v114(constB1) | v125(constB1)))) | v113(constB1) | (~(v114(constB1) | v125(constB1)))),
% 6.46/4.57 inference(tautology,[status(thm)],[])).
% 6.46/4.57 tff(4111,plain,
% 6.46/4.57 (v113(constB1)),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4110, 4109, 4041])).
% 6.46/4.57 tff(4112,plain,
% 6.46/4.57 (^[VarCurr: $i] : refl(((~v126(VarCurr)) <=> v111(VarCurr)) <=> ((~v126(VarCurr)) <=> v111(VarCurr)))),
% 6.46/4.57 inference(bind,[status(th)],[])).
% 6.46/4.57 tff(4113,plain,
% 6.46/4.57 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.46/4.57 inference(quant_intro,[status(thm)],[4112])).
% 6.46/4.57 tff(4114,plain,
% 6.46/4.57 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr)) <=> ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.46/4.57 inference(rewrite,[status(thm)],[])).
% 6.46/4.57 tff(4115,axiom,(![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_13')).
% 6.46/4.57 tff(4116,plain,
% 6.46/4.57 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.46/4.57 inference(modus_ponens,[status(thm)],[4115, 4114])).
% 6.46/4.57 tff(4117,plain,(
% 6.46/4.57 ![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.46/4.57 inference(skolemize,[status(sab)],[4116])).
% 6.46/4.57 tff(4118,plain,
% 6.46/4.57 (![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))),
% 6.46/4.57 inference(modus_ponens,[status(thm)],[4117, 4113])).
% 6.46/4.57 tff(4119,plain,
% 6.46/4.57 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB1)) <=> v111(constB1))),
% 6.46/4.57 inference(quant_inst,[status(thm)],[])).
% 6.46/4.57 tff(4120,plain,
% 6.46/4.57 ((~v126(constB1)) <=> v111(constB1)),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4119, 4118])).
% 6.46/4.57 tff(4121,plain,
% 6.46/4.57 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1) | v111(constB1)),
% 6.46/4.57 inference(tautology,[status(thm)],[])).
% 6.46/4.57 tff(4122,plain,
% 6.46/4.57 ((~((~v126(constB1)) <=> v111(constB1))) | v126(constB1)),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4121, 3847])).
% 6.46/4.57 tff(4123,plain,
% 6.46/4.57 (v126(constB1)),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4122, 4120])).
% 6.46/4.57 tff(4124,plain,
% 6.46/4.57 ((~((~v113(constB1)) | (~v126(constB1)))) | (~v113(constB1)) | (~v126(constB1))),
% 6.46/4.57 inference(tautology,[status(thm)],[])).
% 6.46/4.57 tff(4125,plain,
% 6.46/4.57 (~((~v113(constB1)) | (~v126(constB1)))),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4124, 4123, 4111])).
% 6.46/4.57 tff(4126,plain,
% 6.46/4.57 ((~(v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))) | v112(constB1) | ((~v113(constB1)) | (~v126(constB1)))),
% 6.46/4.57 inference(tautology,[status(thm)],[])).
% 6.46/4.57 tff(4127,plain,
% 6.46/4.57 ((~(v112(constB1) <=> (~((~v113(constB1)) | (~v126(constB1)))))) | v112(constB1)),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4126, 4125])).
% 6.46/4.57 tff(4128,plain,
% 6.46/4.57 (v112(constB1)),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4127, 4032])).
% 6.46/4.57 tff(4129,plain,
% 6.46/4.57 ((v111(constB1) | v112(constB1)) | (~v112(constB1))),
% 6.46/4.57 inference(tautology,[status(thm)],[])).
% 6.46/4.57 tff(4130,plain,
% 6.46/4.57 (v111(constB1) | v112(constB1)),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4129, 4128])).
% 6.46/4.57 tff(4131,plain,
% 6.46/4.57 ((~(v108(constB1) <=> (v111(constB1) | v112(constB1)))) | v108(constB1) | (~(v111(constB1) | v112(constB1)))),
% 6.46/4.57 inference(tautology,[status(thm)],[])).
% 6.46/4.57 tff(4132,plain,
% 6.46/4.57 (v108(constB1)),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4131, 4130, 4020])).
% 6.46/4.57 tff(4133,plain,
% 6.46/4.57 ((~(v110(constB2) <=> v108(constB1))) | v110(constB2) | (~v108(constB1))),
% 6.46/4.57 inference(tautology,[status(thm)],[])).
% 6.46/4.57 tff(4134,plain,
% 6.46/4.57 (v110(constB2)),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4133, 4132, 4011])).
% 6.46/4.57 tff(4135,plain,
% 6.46/4.57 ((~((~v101(constB2)) | (~v110(constB2)))) | (~v101(constB2)) | (~v110(constB2))),
% 6.46/4.57 inference(tautology,[status(thm)],[])).
% 6.46/4.57 tff(4136,plain,
% 6.46/4.57 (~((~v101(constB2)) | (~v110(constB2)))),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4135, 4134, 3997])).
% 6.46/4.57 tff(4137,plain,
% 6.46/4.57 ((~(v100(constB2) <=> (~((~v101(constB2)) | (~v110(constB2)))))) | v100(constB2) | ((~v101(constB2)) | (~v110(constB2)))),
% 6.46/4.57 inference(tautology,[status(thm)],[])).
% 6.46/4.57 tff(4138,plain,
% 6.46/4.57 (v100(constB2)),
% 6.46/4.57 inference(unit_resolution,[status(thm)],[4137, 4136, 3949])).
% 6.46/4.57 tff(4139,plain,
% 6.46/4.57 (^[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))))))),
% 6.46/4.58 inference(bind,[status(th)],[])).
% 6.46/4.58 tff(4140,plain,
% 6.46/4.58 (![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)))))),
% 6.46/4.58 inference(quant_intro,[status(thm)],[4139])).
% 6.46/4.58 tff(4141,plain,
% 6.46/4.58 (^[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))))))),
% 6.46/4.58 inference(bind,[status(th)],[])).
% 6.46/4.58 tff(4142,plain,
% 6.46/4.58 (![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)))))),
% 6.46/4.58 inference(quant_intro,[status(thm)],[4141])).
% 6.46/4.58 tff(4143,plain,
% 6.46/4.58 (![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))))),
% 6.46/4.58 inference(rewrite,[status(thm)],[])).
% 6.46/4.58 tff(4144,plain,
% 6.46/4.58 (^[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))))))),
% 6.46/4.58 inference(bind,[status(th)],[])).
% 6.46/4.58 tff(4145,plain,
% 6.46/4.58 (![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))))),
% 6.46/4.58 inference(quant_intro,[status(thm)],[4144])).
% 6.46/4.58 tff(4146,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')).
% 6.46/4.58 tff(4147,plain,
% 6.46/4.58 (![VarNext: $i] : ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))))),
% 6.46/4.58 inference(modus_ponens,[status(thm)],[4146, 4145])).
% 6.46/4.58 tff(4148,plain,
% 6.46/4.58 (![VarNext: $i] : ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))))),
% 6.46/4.58 inference(modus_ponens,[status(thm)],[4147, 4143])).
% 6.46/4.58 tff(4149,plain,(
% 6.46/4.58 ![VarNext: $i] : ((~v100(VarNext)) | ((v90(VarNext, bitIndex2) <=> v129(VarNext, bitIndex2)) & (v90(VarNext, bitIndex1) <=> v129(VarNext, bitIndex1)) & (v90(VarNext, bitIndex0) <=> v129(VarNext, bitIndex0))))),
% 6.46/4.58 inference(skolemize,[status(sab)],[4148])).
% 6.46/4.58 tff(4150,plain,
% 6.46/4.58 (![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))),
% 6.46/4.58 inference(modus_ponens,[status(thm)],[4149, 4142])).
% 6.46/4.58 tff(4151,plain,
% 6.46/4.58 (![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))),
% 6.46/4.58 inference(modus_ponens,[status(thm)],[4150, 4140])).
% 6.46/4.58 tff(4152,plain,
% 6.46/4.58 (((~![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)))))),
% 6.46/4.58 inference(rewrite,[status(thm)],[])).
% 6.46/4.58 tff(4153,plain,
% 6.46/4.58 (((~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)))))),
% 6.46/4.58 inference(rewrite,[status(thm)],[])).
% 6.46/4.58 tff(4154,plain,
% 6.46/4.58 (((~![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))))))),
% 6.46/4.58 inference(monotonicity,[status(thm)],[4153])).
% 6.46/4.58 tff(4155,plain,
% 6.46/4.58 (((~![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)))))),
% 6.46/4.58 inference(transitivity,[status(thm)],[4154, 4152])).
% 6.46/4.58 tff(4156,plain,
% 6.46/4.58 ((~![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)))))),
% 6.46/4.58 inference(quant_inst,[status(thm)],[])).
% 6.46/4.58 tff(4157,plain,
% 6.46/4.58 ((~![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))))),
% 6.46/4.58 inference(modus_ponens,[status(thm)],[4156, 4155])).
% 6.46/4.58 tff(4158,plain,
% 6.46/4.58 ((~v100(constB2)) | (~(((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4157, 4151])).
% 6.46/4.58 tff(4159,plain,
% 6.46/4.58 (~(((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4158, 4138])).
% 6.46/4.58 tff(4160,plain,
% 6.46/4.58 ((((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))) | (~((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4161,plain,
% 6.46/4.58 (~((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4160, 4159])).
% 6.46/4.58 tff(4162,plain,
% 6.46/4.58 (((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | (~v90(constB2, bitIndex2)) | v129(constB2, bitIndex2)),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4163,plain,
% 6.46/4.58 (~v90(constB2, bitIndex2)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4162, 4161, 3945])).
% 6.46/4.58 tff(4164,plain,
% 6.46/4.58 (((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | (~v90(constB3, bitIndex2)) | v90(constB2, bitIndex2)),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4165,plain,
% 6.46/4.58 (~v90(constB3, bitIndex2)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4164, 4163, 3831])).
% 6.46/4.58 tff(4166,plain,
% 6.46/4.58 ((((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))) | (~((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4167,plain,
% 6.46/4.58 (~((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4166, 3829])).
% 6.46/4.58 tff(4168,plain,
% 6.46/4.58 ((((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0))) | (~((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0)))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4169,plain,
% 6.46/4.58 (~((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4168, 3838])).
% 6.46/4.58 tff(4170,plain,
% 6.46/4.58 ((((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1))) | (~((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4171,plain,
% 6.46/4.58 (~((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4170, 3852])).
% 6.46/4.58 tff(4172,plain,
% 6.46/4.58 ((v130(constB1, bitIndex2) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex0))) | v130(constB1, bitIndex0)),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4173,plain,
% 6.46/4.58 (v130(constB1, bitIndex0)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4172, 3939])).
% 6.46/4.58 tff(4174,plain,
% 6.46/4.58 (((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)) | v127(constB1, bitIndex0) | (~v130(constB1, bitIndex0))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4175,plain,
% 6.46/4.58 (v127(constB1, bitIndex0)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4174, 4173, 4171])).
% 6.46/4.58 tff(4176,plain,
% 6.46/4.58 (((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0)) | v129(constB2, bitIndex0) | (~v127(constB1, bitIndex0))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4177,plain,
% 6.46/4.58 (v129(constB2, bitIndex0)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4176, 4175, 4169])).
% 6.46/4.58 tff(4178,plain,
% 6.46/4.58 ((((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))) | (~((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4179,plain,
% 6.46/4.58 (~((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4178, 4159])).
% 6.46/4.58 tff(4180,plain,
% 6.46/4.58 (((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | v90(constB2, bitIndex0) | (~v129(constB2, bitIndex0))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4181,plain,
% 6.46/4.58 (v90(constB2, bitIndex0)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4180, 4179, 4177])).
% 6.46/4.58 tff(4182,plain,
% 6.46/4.58 (((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0)) | v90(constB3, bitIndex0) | (~v90(constB2, bitIndex0))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4183,plain,
% 6.46/4.58 (v90(constB3, bitIndex0)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4182, 4181, 4167])).
% 6.46/4.58 tff(4184,plain,
% 6.46/4.58 ((((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | ((~v90(constB3, bitIndex2)) <=> v90(constB2, bitIndex2)) | ((~v90(constB3, bitIndex0)) <=> v90(constB2, bitIndex0))) | (~((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4185,plain,
% 6.46/4.58 (~((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4184, 3829])).
% 6.46/4.58 tff(4186,plain,
% 6.46/4.58 ((((~v129(constB2, bitIndex2)) <=> v127(constB1, bitIndex2)) | ((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | ((~v129(constB2, bitIndex0)) <=> v127(constB1, bitIndex0))) | (~((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4187,plain,
% 6.46/4.58 (~((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4186, 3838])).
% 6.46/4.58 tff(4188,plain,
% 6.46/4.58 ((((~v127(constB1, bitIndex2)) <=> v130(constB1, bitIndex2)) | ((~v127(constB1, bitIndex0)) <=> v130(constB1, bitIndex0)) | ((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1))) | (~((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4189,plain,
% 6.46/4.58 (~((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4188, 3852])).
% 6.46/4.58 tff(4190,plain,
% 6.46/4.58 ((v130(constB1, bitIndex2) | v130(constB1, bitIndex1) | (~v130(constB1, bitIndex0))) | (~v130(constB1, bitIndex1))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4191,plain,
% 6.46/4.58 (~v130(constB1, bitIndex1)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4190, 3939])).
% 6.46/4.58 tff(4192,plain,
% 6.46/4.58 (((~v127(constB1, bitIndex1)) <=> v130(constB1, bitIndex1)) | (~v127(constB1, bitIndex1)) | v130(constB1, bitIndex1)),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4193,plain,
% 6.46/4.58 (~v127(constB1, bitIndex1)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4192, 4191, 4189])).
% 6.46/4.58 tff(4194,plain,
% 6.46/4.58 (((~v129(constB2, bitIndex1)) <=> v127(constB1, bitIndex1)) | (~v129(constB2, bitIndex1)) | v127(constB1, bitIndex1)),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4195,plain,
% 6.46/4.58 (~v129(constB2, bitIndex1)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4194, 4193, 4187])).
% 6.46/4.58 tff(4196,plain,
% 6.46/4.58 ((((~v90(constB2, bitIndex0)) <=> v129(constB2, bitIndex0)) | ((~v90(constB2, bitIndex2)) <=> v129(constB2, bitIndex2)) | ((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))) | (~((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4197,plain,
% 6.46/4.58 (~((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4196, 4159])).
% 6.46/4.58 tff(4198,plain,
% 6.46/4.58 (((~v90(constB2, bitIndex1)) <=> v129(constB2, bitIndex1)) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1)),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4199,plain,
% 6.46/4.58 (~v90(constB2, bitIndex1)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4198, 4197, 4195])).
% 6.46/4.58 tff(4200,plain,
% 6.46/4.58 (((~v90(constB3, bitIndex1)) <=> v90(constB2, bitIndex1)) | (~v90(constB3, bitIndex1)) | v90(constB2, bitIndex1)),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4201,plain,
% 6.46/4.58 (~v90(constB3, bitIndex1)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4200, 4199, 4185])).
% 6.46/4.58 tff(4202,plain,
% 6.46/4.58 ((~(v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0)))) | v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4203,plain,
% 6.46/4.58 (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0)))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4202, 4201, 4183, 4165])).
% 6.46/4.58 tff(4204,plain,
% 6.46/4.58 ((~(v120(constB3) <=> (~(v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0)))))) | v120(constB3) | (v90(constB3, bitIndex1) | v90(constB3, bitIndex2) | (~v90(constB3, bitIndex0)))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4205,plain,
% 6.46/4.58 (v120(constB3)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4204, 4203, 3795])).
% 6.46/4.58 tff(4206,plain,
% 6.46/4.58 (^[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))))))),
% 6.46/4.58 inference(bind,[status(th)],[])).
% 6.46/4.58 tff(4207,plain,
% 6.46/4.58 (![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)))))),
% 6.46/4.58 inference(quant_intro,[status(thm)],[4206])).
% 6.46/4.58 tff(4208,plain,
% 6.46/4.58 (^[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))))))),
% 6.46/4.58 inference(bind,[status(th)],[])).
% 6.46/4.58 tff(4209,plain,
% 6.46/4.58 (![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)))))),
% 6.46/4.58 inference(quant_intro,[status(thm)],[4208])).
% 6.46/4.58 tff(4210,plain,
% 6.46/4.58 (![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))))),
% 6.46/4.58 inference(rewrite,[status(thm)],[])).
% 6.46/4.58 tff(4211,plain,
% 6.46/4.58 (^[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))))))),
% 6.46/4.58 inference(bind,[status(th)],[])).
% 6.46/4.58 tff(4212,plain,
% 6.46/4.58 (![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))))),
% 6.46/4.58 inference(quant_intro,[status(thm)],[4211])).
% 6.46/4.58 tff(4213,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')).
% 6.46/4.58 tff(4214,plain,
% 6.46/4.58 (![VarCurr: $i] : ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.46/4.58 inference(modus_ponens,[status(thm)],[4213, 4212])).
% 6.46/4.58 tff(4215,plain,
% 6.46/4.58 (![VarCurr: $i] : ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.46/4.58 inference(modus_ponens,[status(thm)],[4214, 4210])).
% 6.46/4.58 tff(4216,plain,(
% 6.46/4.58 ![VarCurr: $i] : ((~v120(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.46/4.58 inference(skolemize,[status(sab)],[4215])).
% 6.46/4.58 tff(4217,plain,
% 6.46/4.58 (![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))),
% 6.46/4.58 inference(modus_ponens,[status(thm)],[4216, 4209])).
% 6.46/4.58 tff(4218,plain,
% 6.46/4.58 (![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))),
% 6.46/4.58 inference(modus_ponens,[status(thm)],[4217, 4207])).
% 6.46/4.58 tff(4219,plain,
% 6.46/4.58 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB3)) | (~(v130(constB3, bitIndex2) | v130(constB3, bitIndex0) | (~v130(constB3, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB3)) | (~(v130(constB3, bitIndex2) | v130(constB3, bitIndex0) | (~v130(constB3, bitIndex1)))))),
% 6.46/4.58 inference(rewrite,[status(thm)],[])).
% 6.46/4.58 tff(4220,plain,
% 6.46/4.58 (((~v120(constB3)) | (~(v130(constB3, bitIndex0) | v130(constB3, bitIndex2) | (~v130(constB3, bitIndex1))))) <=> ((~v120(constB3)) | (~(v130(constB3, bitIndex2) | v130(constB3, bitIndex0) | (~v130(constB3, bitIndex1)))))),
% 6.46/4.58 inference(rewrite,[status(thm)],[])).
% 6.46/4.58 tff(4221,plain,
% 6.46/4.58 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB3)) | (~(v130(constB3, bitIndex0) | v130(constB3, bitIndex2) | (~v130(constB3, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB3)) | (~(v130(constB3, bitIndex2) | v130(constB3, bitIndex0) | (~v130(constB3, bitIndex1))))))),
% 6.46/4.58 inference(monotonicity,[status(thm)],[4220])).
% 6.46/4.58 tff(4222,plain,
% 6.46/4.58 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB3)) | (~(v130(constB3, bitIndex0) | v130(constB3, bitIndex2) | (~v130(constB3, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB3)) | (~(v130(constB3, bitIndex2) | v130(constB3, bitIndex0) | (~v130(constB3, bitIndex1)))))),
% 6.46/4.58 inference(transitivity,[status(thm)],[4221, 4219])).
% 6.46/4.58 tff(4223,plain,
% 6.46/4.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB3)) | (~(v130(constB3, bitIndex0) | v130(constB3, bitIndex2) | (~v130(constB3, bitIndex1)))))),
% 6.46/4.58 inference(quant_inst,[status(thm)],[])).
% 6.46/4.58 tff(4224,plain,
% 6.46/4.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB3)) | (~(v130(constB3, bitIndex2) | v130(constB3, bitIndex0) | (~v130(constB3, bitIndex1))))),
% 6.46/4.58 inference(modus_ponens,[status(thm)],[4223, 4222])).
% 6.46/4.58 tff(4225,plain,
% 6.46/4.58 ((~v120(constB3)) | (~(v130(constB3, bitIndex2) | v130(constB3, bitIndex0) | (~v130(constB3, bitIndex1))))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4224, 4218])).
% 6.46/4.58 tff(4226,plain,
% 6.46/4.58 (~(v130(constB3, bitIndex2) | v130(constB3, bitIndex0) | (~v130(constB3, bitIndex1)))),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4225, 4205])).
% 6.46/4.58 tff(4227,plain,
% 6.46/4.58 ((v130(constB3, bitIndex2) | v130(constB3, bitIndex0) | (~v130(constB3, bitIndex1))) | (~v130(constB3, bitIndex2))),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4228,plain,
% 6.46/4.58 (~v130(constB3, bitIndex2)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4227, 4226])).
% 6.46/4.58 tff(4229,plain,
% 6.46/4.58 (((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | (~v127(constB3, bitIndex2)) | v130(constB3, bitIndex2)),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4230,plain,
% 6.46/4.58 (~v127(constB3, bitIndex2)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4229, 4228, 3793])).
% 6.46/4.58 tff(4231,plain,
% 6.46/4.58 (((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | (~v129(constB4, bitIndex2)) | v127(constB3, bitIndex2)),
% 6.46/4.58 inference(tautology,[status(thm)],[])).
% 6.46/4.58 tff(4232,plain,
% 6.46/4.58 (~v129(constB4, bitIndex2)),
% 6.46/4.58 inference(unit_resolution,[status(thm)],[4231, 4230, 3779])).
% 6.46/4.58 tff(4233,plain,
% 6.46/4.58 (((~![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))))))),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4234,plain,
% 6.46/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4235,plain,
% 6.46/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB3, constB4)) | (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 6.46/4.59 tff(4236,plain,
% 6.46/4.59 (v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4))))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4235, 3773, 433])).
% 6.46/4.59 tff(4237,plain,
% 6.46/4.59 (((~![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))))))),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4238,plain,
% 6.46/4.59 (((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4)))))) <=> ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))))),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4239,plain,
% 6.46/4.59 (((~![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)))))))),
% 6.46/4.59 inference(monotonicity,[status(thm)],[4238])).
% 6.46/4.59 tff(4240,plain,
% 6.46/4.59 (((~![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))))))),
% 6.46/4.59 inference(transitivity,[status(thm)],[4239, 4237])).
% 6.46/4.59 tff(4241,plain,
% 6.46/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v102(constB4)) | (~v1(constB4))))))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4242,plain,
% 6.46/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4241, 4240])).
% 6.46/4.59 tff(4243,plain,
% 6.46/4.59 (v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4))))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4242, 3773, 453])).
% 6.46/4.59 tff(4244,plain,
% 6.46/4.59 (((~![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)))),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4245,plain,
% 6.46/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4)))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4246,plain,
% 6.46/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB3, constB4)) | ((~v102(constB4)) <=> v104(constB4))),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4245, 4244])).
% 6.46/4.59 tff(4247,plain,
% 6.46/4.59 ((~v102(constB4)) <=> v104(constB4)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4246, 3773, 3966])).
% 6.46/4.59 tff(4248,plain,
% 6.46/4.59 (((~![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)))),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4249,plain,
% 6.46/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3)))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4250,plain,
% 6.46/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v1(constB3))),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4249, 4248])).
% 6.46/4.59 tff(4251,plain,
% 6.46/4.59 (v104(constB4) <=> v1(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4250, 3773, 3980])).
% 6.46/4.59 tff(4252,plain,
% 6.46/4.59 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4)) | v1(constB3)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4253,plain,
% 6.46/4.59 ((~(v104(constB4) <=> v1(constB3))) | (~v104(constB4))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4252, 3812])).
% 6.46/4.59 tff(4254,plain,
% 6.46/4.59 (~v104(constB4)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4253, 4251])).
% 6.46/4.59 tff(4255,plain,
% 6.46/4.59 ((~((~v102(constB4)) <=> v104(constB4))) | v102(constB4) | v104(constB4)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4256,plain,
% 6.46/4.59 (v102(constB4)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4255, 4254, 4247])).
% 6.46/4.59 tff(4257,plain,
% 6.46/4.59 (v1(constB4) <=> v1(constB4)),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4258,axiom,(v1(constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_4')).
% 6.46/4.59 tff(4259,plain,
% 6.46/4.59 (v1(constB4)),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 6.46/4.59 tff(4260,plain,
% 6.46/4.59 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v1(constB4)) | (~v102(constB4))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4261,plain,
% 6.46/4.59 ((~((~v1(constB4)) | (~v102(constB4)))) | (~v102(constB4))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4260, 4259])).
% 6.46/4.59 tff(4262,plain,
% 6.46/4.59 (~((~v1(constB4)) | (~v102(constB4)))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4261, 4256])).
% 6.46/4.59 tff(4263,plain,
% 6.46/4.59 ((~(v101(constB4) <=> (~((~v1(constB4)) | (~v102(constB4)))))) | v101(constB4) | ((~v1(constB4)) | (~v102(constB4)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4264,plain,
% 6.46/4.59 (v101(constB4)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4263, 4262, 4243])).
% 6.46/4.59 tff(4265,plain,
% 6.46/4.59 (((~![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)))),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4266,plain,
% 6.46/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3)))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4267,plain,
% 6.46/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB3, constB4)) | (v110(constB4) <=> v108(constB3))),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4266, 4265])).
% 6.46/4.59 tff(4268,plain,
% 6.46/4.59 (v110(constB4) <=> v108(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4267, 3773, 4007])).
% 6.46/4.59 tff(4269,plain,
% 6.46/4.59 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB3) <=> (v111(constB3) | v112(constB3)))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4270,plain,
% 6.46/4.59 (v108(constB3) <=> (v111(constB3) | v112(constB3))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4269, 4018])).
% 6.46/4.59 tff(4271,plain,
% 6.46/4.59 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4272,plain,
% 6.46/4.59 (v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3))))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4271, 4030])).
% 6.46/4.59 tff(4273,plain,
% 6.46/4.59 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB3) <=> (v114(constB3) | v125(constB3)))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4274,plain,
% 6.46/4.59 (v113(constB3) <=> (v114(constB3) | v125(constB3))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4273, 4039])).
% 6.46/4.59 tff(4275,plain,
% 6.46/4.59 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB3) <=> (v115(constB3) | v124(constB3)))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4276,plain,
% 6.46/4.59 (v114(constB3) <=> (v115(constB3) | v124(constB3))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4275, 4048])).
% 6.46/4.59 tff(4277,plain,
% 6.46/4.59 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB3) <=> (v116(constB3) | v123(constB3)))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4278,plain,
% 6.46/4.59 (v115(constB3) <=> (v116(constB3) | v123(constB3))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4277, 4057])).
% 6.46/4.59 tff(4279,plain,
% 6.46/4.59 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB3) <=> (v117(constB3) | v122(constB3)))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4280,plain,
% 6.46/4.59 (v116(constB3) <=> (v117(constB3) | v122(constB3))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4279, 4066])).
% 6.46/4.59 tff(4281,plain,
% 6.46/4.59 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB3) <=> (v118(constB3) | v121(constB3)))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4282,plain,
% 6.46/4.59 (v117(constB3) <=> (v118(constB3) | v121(constB3))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4281, 4075])).
% 6.46/4.59 tff(4283,plain,
% 6.46/4.59 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB3) <=> (v119(constB3) | v120(constB3)))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4284,plain,
% 6.46/4.59 (v118(constB3) <=> (v119(constB3) | v120(constB3))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4283, 4084])).
% 6.46/4.59 tff(4285,plain,
% 6.46/4.59 ((v119(constB3) | v120(constB3)) | (~v120(constB3))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4286,plain,
% 6.46/4.59 (v119(constB3) | v120(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4285, 4205])).
% 6.46/4.59 tff(4287,plain,
% 6.46/4.59 ((~(v118(constB3) <=> (v119(constB3) | v120(constB3)))) | v118(constB3) | (~(v119(constB3) | v120(constB3)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4288,plain,
% 6.46/4.59 (v118(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4287, 4286, 4284])).
% 6.46/4.59 tff(4289,plain,
% 6.46/4.59 ((v118(constB3) | v121(constB3)) | (~v118(constB3))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4290,plain,
% 6.46/4.59 (v118(constB3) | v121(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4289, 4288])).
% 6.46/4.59 tff(4291,plain,
% 6.46/4.59 ((~(v117(constB3) <=> (v118(constB3) | v121(constB3)))) | v117(constB3) | (~(v118(constB3) | v121(constB3)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4292,plain,
% 6.46/4.59 (v117(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4291, 4290, 4282])).
% 6.46/4.59 tff(4293,plain,
% 6.46/4.59 ((v117(constB3) | v122(constB3)) | (~v117(constB3))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4294,plain,
% 6.46/4.59 (v117(constB3) | v122(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4293, 4292])).
% 6.46/4.59 tff(4295,plain,
% 6.46/4.59 ((~(v116(constB3) <=> (v117(constB3) | v122(constB3)))) | v116(constB3) | (~(v117(constB3) | v122(constB3)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4296,plain,
% 6.46/4.59 (v116(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4295, 4294, 4280])).
% 6.46/4.59 tff(4297,plain,
% 6.46/4.59 ((v116(constB3) | v123(constB3)) | (~v116(constB3))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4298,plain,
% 6.46/4.59 (v116(constB3) | v123(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4297, 4296])).
% 6.46/4.59 tff(4299,plain,
% 6.46/4.59 ((~(v115(constB3) <=> (v116(constB3) | v123(constB3)))) | v115(constB3) | (~(v116(constB3) | v123(constB3)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4300,plain,
% 6.46/4.59 (v115(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4299, 4298, 4278])).
% 6.46/4.59 tff(4301,plain,
% 6.46/4.59 ((v115(constB3) | v124(constB3)) | (~v115(constB3))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4302,plain,
% 6.46/4.59 (v115(constB3) | v124(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4301, 4300])).
% 6.46/4.59 tff(4303,plain,
% 6.46/4.59 ((~(v114(constB3) <=> (v115(constB3) | v124(constB3)))) | v114(constB3) | (~(v115(constB3) | v124(constB3)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4304,plain,
% 6.46/4.59 (v114(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4303, 4302, 4276])).
% 6.46/4.59 tff(4305,plain,
% 6.46/4.59 ((v114(constB3) | v125(constB3)) | (~v114(constB3))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4306,plain,
% 6.46/4.59 (v114(constB3) | v125(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4305, 4304])).
% 6.46/4.59 tff(4307,plain,
% 6.46/4.59 ((~(v113(constB3) <=> (v114(constB3) | v125(constB3)))) | v113(constB3) | (~(v114(constB3) | v125(constB3)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4308,plain,
% 6.46/4.59 (v113(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4307, 4306, 4274])).
% 6.46/4.59 tff(4309,plain,
% 6.46/4.59 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB3)) <=> v111(constB3))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4310,plain,
% 6.46/4.59 ((~v126(constB3)) <=> v111(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4309, 4118])).
% 6.46/4.59 tff(4311,plain,
% 6.46/4.59 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3) | v111(constB3)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4312,plain,
% 6.46/4.59 ((~((~v126(constB3)) <=> v111(constB3))) | v126(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4311, 3786])).
% 6.46/4.59 tff(4313,plain,
% 6.46/4.59 (v126(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4312, 4310])).
% 6.46/4.59 tff(4314,plain,
% 6.46/4.59 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3)) | (~v126(constB3))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4315,plain,
% 6.46/4.59 ((~((~v113(constB3)) | (~v126(constB3)))) | (~v113(constB3))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4314, 4313])).
% 6.46/4.59 tff(4316,plain,
% 6.46/4.59 (~((~v113(constB3)) | (~v126(constB3)))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4315, 4308])).
% 6.46/4.59 tff(4317,plain,
% 6.46/4.59 ((~(v112(constB3) <=> (~((~v113(constB3)) | (~v126(constB3)))))) | v112(constB3) | ((~v113(constB3)) | (~v126(constB3)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4318,plain,
% 6.46/4.59 (v112(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4317, 4316, 4272])).
% 6.46/4.59 tff(4319,plain,
% 6.46/4.59 ((v111(constB3) | v112(constB3)) | (~v112(constB3))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4320,plain,
% 6.46/4.59 (v111(constB3) | v112(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4319, 4318])).
% 6.46/4.59 tff(4321,plain,
% 6.46/4.59 ((~(v108(constB3) <=> (v111(constB3) | v112(constB3)))) | v108(constB3) | (~(v111(constB3) | v112(constB3)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4322,plain,
% 6.46/4.59 (v108(constB3)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4321, 4320, 4270])).
% 6.46/4.59 tff(4323,plain,
% 6.46/4.59 ((~(v110(constB4) <=> v108(constB3))) | v110(constB4) | (~v108(constB3))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4324,plain,
% 6.46/4.59 (v110(constB4)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4323, 4322, 4268])).
% 6.46/4.59 tff(4325,plain,
% 6.46/4.59 ((~((~v101(constB4)) | (~v110(constB4)))) | (~v101(constB4)) | (~v110(constB4))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4326,plain,
% 6.46/4.59 (~((~v101(constB4)) | (~v110(constB4)))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4325, 4324, 4264])).
% 6.46/4.59 tff(4327,plain,
% 6.46/4.59 ((~(v100(constB4) <=> (~((~v101(constB4)) | (~v110(constB4)))))) | v100(constB4) | ((~v101(constB4)) | (~v110(constB4)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4328,plain,
% 6.46/4.59 (v100(constB4)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4327, 4326, 4236])).
% 6.46/4.59 tff(4329,plain,
% 6.46/4.59 (((~![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)))))),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4330,plain,
% 6.46/4.59 ((~![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)))))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4331,plain,
% 6.46/4.59 ((~![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))))),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4330, 4329])).
% 6.46/4.59 tff(4332,plain,
% 6.46/4.59 ((~v100(constB4)) | (~(((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0))))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4331, 4151])).
% 6.46/4.59 tff(4333,plain,
% 6.46/4.59 (~(((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0)))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4332, 4328])).
% 6.46/4.59 tff(4334,plain,
% 6.46/4.59 ((((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0))) | (~((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4335,plain,
% 6.46/4.59 (~((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4334, 4333])).
% 6.46/4.59 tff(4336,plain,
% 6.46/4.59 (((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | (~v90(constB4, bitIndex2)) | v129(constB4, bitIndex2)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4337,plain,
% 6.46/4.59 (~v90(constB4, bitIndex2)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4336, 4335, 4232])).
% 6.46/4.59 tff(4338,plain,
% 6.46/4.59 (((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | (~v90(constB5, bitIndex2)) | v90(constB4, bitIndex2)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4339,plain,
% 6.46/4.59 (~v90(constB5, bitIndex2)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4338, 4337, 3770])).
% 6.46/4.59 tff(4340,plain,
% 6.46/4.59 ((((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))) | (~((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4341,plain,
% 6.46/4.59 (~((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4340, 3768])).
% 6.46/4.59 tff(4342,plain,
% 6.46/4.59 ((((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0))) | (~((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4343,plain,
% 6.46/4.59 (~((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4342, 3777])).
% 6.46/4.59 tff(4344,plain,
% 6.46/4.59 ((((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1))) | (~((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4345,plain,
% 6.46/4.59 (~((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4344, 3791])).
% 6.46/4.59 tff(4346,plain,
% 6.46/4.59 ((v130(constB3, bitIndex2) | v130(constB3, bitIndex0) | (~v130(constB3, bitIndex1))) | (~v130(constB3, bitIndex0))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4347,plain,
% 6.46/4.59 (~v130(constB3, bitIndex0)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4346, 4226])).
% 6.46/4.59 tff(4348,plain,
% 6.46/4.59 (((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)) | (~v127(constB3, bitIndex0)) | v130(constB3, bitIndex0)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4349,plain,
% 6.46/4.59 (~v127(constB3, bitIndex0)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4348, 4347, 4345])).
% 6.46/4.59 tff(4350,plain,
% 6.46/4.59 (((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0)) | (~v129(constB4, bitIndex0)) | v127(constB3, bitIndex0)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4351,plain,
% 6.46/4.59 (~v129(constB4, bitIndex0)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4350, 4349, 4343])).
% 6.46/4.59 tff(4352,plain,
% 6.46/4.59 ((((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0))) | (~((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4353,plain,
% 6.46/4.59 (~((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4352, 4333])).
% 6.46/4.59 tff(4354,plain,
% 6.46/4.59 (((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0)) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4355,plain,
% 6.46/4.59 (~v90(constB4, bitIndex0)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4354, 4353, 4351])).
% 6.46/4.59 tff(4356,plain,
% 6.46/4.59 (((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0)) | (~v90(constB5, bitIndex0)) | v90(constB4, bitIndex0)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4357,plain,
% 6.46/4.59 (~v90(constB5, bitIndex0)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4356, 4355, 4341])).
% 6.46/4.59 tff(4358,plain,
% 6.46/4.59 ((((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | ((~v90(constB5, bitIndex2)) <=> v90(constB4, bitIndex2)) | ((~v90(constB5, bitIndex0)) <=> v90(constB4, bitIndex0))) | (~((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4359,plain,
% 6.46/4.59 (~((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4358, 3768])).
% 6.46/4.59 tff(4360,plain,
% 6.46/4.59 ((((~v129(constB4, bitIndex2)) <=> v127(constB3, bitIndex2)) | ((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | ((~v129(constB4, bitIndex0)) <=> v127(constB3, bitIndex0))) | (~((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4361,plain,
% 6.46/4.59 (~((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4360, 3777])).
% 6.46/4.59 tff(4362,plain,
% 6.46/4.59 ((((~v127(constB3, bitIndex2)) <=> v130(constB3, bitIndex2)) | ((~v127(constB3, bitIndex0)) <=> v130(constB3, bitIndex0)) | ((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1))) | (~((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4363,plain,
% 6.46/4.59 (~((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4362, 3791])).
% 6.46/4.59 tff(4364,plain,
% 6.46/4.59 ((v130(constB3, bitIndex2) | v130(constB3, bitIndex0) | (~v130(constB3, bitIndex1))) | v130(constB3, bitIndex1)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4365,plain,
% 6.46/4.59 (v130(constB3, bitIndex1)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4364, 4226])).
% 6.46/4.59 tff(4366,plain,
% 6.46/4.59 (((~v127(constB3, bitIndex1)) <=> v130(constB3, bitIndex1)) | v127(constB3, bitIndex1) | (~v130(constB3, bitIndex1))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4367,plain,
% 6.46/4.59 (v127(constB3, bitIndex1)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4366, 4365, 4363])).
% 6.46/4.59 tff(4368,plain,
% 6.46/4.59 (((~v129(constB4, bitIndex1)) <=> v127(constB3, bitIndex1)) | v129(constB4, bitIndex1) | (~v127(constB3, bitIndex1))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4369,plain,
% 6.46/4.59 (v129(constB4, bitIndex1)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4368, 4367, 4361])).
% 6.46/4.59 tff(4370,plain,
% 6.46/4.59 ((((~v90(constB4, bitIndex2)) <=> v129(constB4, bitIndex2)) | ((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | ((~v90(constB4, bitIndex0)) <=> v129(constB4, bitIndex0))) | (~((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4371,plain,
% 6.46/4.59 (~((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4370, 4333])).
% 6.46/4.59 tff(4372,plain,
% 6.46/4.59 (((~v90(constB4, bitIndex1)) <=> v129(constB4, bitIndex1)) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4373,plain,
% 6.46/4.59 (v90(constB4, bitIndex1)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4372, 4371, 4369])).
% 6.46/4.59 tff(4374,plain,
% 6.46/4.59 (((~v90(constB5, bitIndex1)) <=> v90(constB4, bitIndex1)) | v90(constB5, bitIndex1) | (~v90(constB4, bitIndex1))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4375,plain,
% 6.46/4.59 (v90(constB5, bitIndex1)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4374, 4373, 4359])).
% 6.46/4.59 tff(4376,plain,
% 6.46/4.59 ((~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)))) | v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4377,plain,
% 6.46/4.59 (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4376, 4375, 4357, 4339])).
% 6.46/4.59 tff(4378,plain,
% 6.46/4.59 ((~(v121(constB5) <=> (~(v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)))))) | v121(constB5) | (v90(constB5, bitIndex2) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4379,plain,
% 6.46/4.59 (v121(constB5)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4378, 4377, 3734])).
% 6.46/4.59 tff(4380,plain,
% 6.46/4.59 (^[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))))))),
% 6.46/4.59 inference(bind,[status(th)],[])).
% 6.46/4.59 tff(4381,plain,
% 6.46/4.59 (![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)))))),
% 6.46/4.59 inference(quant_intro,[status(thm)],[4380])).
% 6.46/4.59 tff(4382,plain,
% 6.46/4.59 (^[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))))))),
% 6.46/4.59 inference(bind,[status(th)],[])).
% 6.46/4.59 tff(4383,plain,
% 6.46/4.59 (![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)))))),
% 6.46/4.59 inference(quant_intro,[status(thm)],[4382])).
% 6.46/4.59 tff(4384,plain,
% 6.46/4.59 (![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)))),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4385,plain,
% 6.46/4.59 (^[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)))))),
% 6.46/4.59 inference(bind,[status(th)],[])).
% 6.46/4.59 tff(4386,plain,
% 6.46/4.59 (![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)))),
% 6.46/4.59 inference(quant_intro,[status(thm)],[4385])).
% 6.46/4.59 tff(4387,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')).
% 6.46/4.59 tff(4388,plain,
% 6.46/4.59 (![VarCurr: $i] : ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0)))),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4387, 4386])).
% 6.46/4.59 tff(4389,plain,
% 6.46/4.59 (![VarCurr: $i] : ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0)))),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4388, 4384])).
% 6.46/4.59 tff(4390,plain,(
% 6.46/4.59 ![VarCurr: $i] : ((~v121(VarCurr)) | ((~v130(VarCurr, bitIndex2)) & v130(VarCurr, bitIndex1) & v130(VarCurr, bitIndex0)))),
% 6.46/4.59 inference(skolemize,[status(sab)],[4389])).
% 6.46/4.59 tff(4391,plain,
% 6.46/4.59 (![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4390, 4383])).
% 6.46/4.59 tff(4392,plain,
% 6.46/4.59 (![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4391, 4381])).
% 6.46/4.59 tff(4393,plain,
% 6.46/4.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB5)) | (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)) | (~v130(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB5)) | (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)) | (~v130(constB5, bitIndex1)))))),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4394,plain,
% 6.46/4.59 (((~v121(constB5)) | (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex1)) | (~v130(constB5, bitIndex0))))) <=> ((~v121(constB5)) | (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)) | (~v130(constB5, bitIndex1)))))),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4395,plain,
% 6.46/4.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB5)) | (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex1)) | (~v130(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB5)) | (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)) | (~v130(constB5, bitIndex1))))))),
% 6.46/4.59 inference(monotonicity,[status(thm)],[4394])).
% 6.46/4.59 tff(4396,plain,
% 6.46/4.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB5)) | (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex1)) | (~v130(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB5)) | (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)) | (~v130(constB5, bitIndex1)))))),
% 6.46/4.59 inference(transitivity,[status(thm)],[4395, 4393])).
% 6.46/4.59 tff(4397,plain,
% 6.46/4.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB5)) | (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex1)) | (~v130(constB5, bitIndex0)))))),
% 6.46/4.59 inference(quant_inst,[status(thm)],[])).
% 6.46/4.59 tff(4398,plain,
% 6.46/4.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB5)) | (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)) | (~v130(constB5, bitIndex1))))),
% 6.46/4.59 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 6.46/4.59 tff(4399,plain,
% 6.46/4.59 ((~v121(constB5)) | (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)) | (~v130(constB5, bitIndex1))))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4398, 4392])).
% 6.46/4.59 tff(4400,plain,
% 6.46/4.59 (~(v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)) | (~v130(constB5, bitIndex1)))),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4399, 4379])).
% 6.46/4.59 tff(4401,plain,
% 6.46/4.59 ((v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)) | (~v130(constB5, bitIndex1))) | (~v130(constB5, bitIndex2))),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4402,plain,
% 6.46/4.59 (~v130(constB5, bitIndex2)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4401, 4400])).
% 6.46/4.59 tff(4403,plain,
% 6.46/4.59 (((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | (~v127(constB5, bitIndex2)) | v130(constB5, bitIndex2)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4404,plain,
% 6.46/4.59 (~v127(constB5, bitIndex2)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4403, 4402, 3727])).
% 6.46/4.59 tff(4405,plain,
% 6.46/4.59 (((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | (~v129(constB6, bitIndex2)) | v127(constB5, bitIndex2)),
% 6.46/4.59 inference(tautology,[status(thm)],[])).
% 6.46/4.59 tff(4406,plain,
% 6.46/4.59 (~v129(constB6, bitIndex2)),
% 6.46/4.59 inference(unit_resolution,[status(thm)],[4405, 4404, 3713])).
% 6.46/4.59 tff(4407,plain,
% 6.46/4.59 (((~![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))))))),
% 6.46/4.59 inference(rewrite,[status(thm)],[])).
% 6.46/4.59 tff(4408,plain,
% 6.46/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4409,plain,
% 6.46/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB5, constB6)) | (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))),
% 6.46/4.60 inference(modus_ponens,[status(thm)],[4408, 4407])).
% 6.46/4.60 tff(4410,plain,
% 6.46/4.60 (v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6))))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4409, 3707, 433])).
% 6.46/4.60 tff(4411,plain,
% 6.46/4.60 (((~![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))))))),
% 6.46/4.60 inference(rewrite,[status(thm)],[])).
% 6.46/4.60 tff(4412,plain,
% 6.46/4.60 (((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6)))))) <=> ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))))),
% 6.46/4.60 inference(rewrite,[status(thm)],[])).
% 6.46/4.60 tff(4413,plain,
% 6.46/4.60 (((~![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)))))))),
% 6.46/4.60 inference(monotonicity,[status(thm)],[4412])).
% 6.46/4.60 tff(4414,plain,
% 6.46/4.60 (((~![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))))))),
% 6.46/4.60 inference(transitivity,[status(thm)],[4413, 4411])).
% 6.46/4.60 tff(4415,plain,
% 6.46/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v102(constB6)) | (~v1(constB6))))))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4416,plain,
% 6.46/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))),
% 6.46/4.60 inference(modus_ponens,[status(thm)],[4415, 4414])).
% 6.46/4.60 tff(4417,plain,
% 6.46/4.60 (v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6))))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4416, 3707, 453])).
% 6.46/4.60 tff(4418,plain,
% 6.46/4.60 (((~![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)))),
% 6.46/4.60 inference(rewrite,[status(thm)],[])).
% 6.46/4.60 tff(4419,plain,
% 6.46/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6)))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4420,plain,
% 6.46/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB5, constB6)) | ((~v102(constB6)) <=> v104(constB6))),
% 6.46/4.60 inference(modus_ponens,[status(thm)],[4419, 4418])).
% 6.46/4.60 tff(4421,plain,
% 6.46/4.60 ((~v102(constB6)) <=> v104(constB6)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4420, 3707, 3966])).
% 6.46/4.60 tff(4422,plain,
% 6.46/4.60 (((~![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)))),
% 6.46/4.60 inference(rewrite,[status(thm)],[])).
% 6.46/4.60 tff(4423,plain,
% 6.46/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5)))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4424,plain,
% 6.46/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v1(constB5))),
% 6.46/4.60 inference(modus_ponens,[status(thm)],[4423, 4422])).
% 6.46/4.60 tff(4425,plain,
% 6.46/4.60 (v104(constB6) <=> v1(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4424, 3707, 3980])).
% 6.46/4.60 tff(4426,plain,
% 6.46/4.60 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6)) | v1(constB5)),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4427,plain,
% 6.46/4.60 ((~(v104(constB6) <=> v1(constB5))) | (~v104(constB6))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4426, 3751])).
% 6.46/4.60 tff(4428,plain,
% 6.46/4.60 (~v104(constB6)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4427, 4425])).
% 6.46/4.60 tff(4429,plain,
% 6.46/4.60 ((~((~v102(constB6)) <=> v104(constB6))) | v102(constB6) | v104(constB6)),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4430,plain,
% 6.46/4.60 (v102(constB6)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4429, 4428, 4421])).
% 6.46/4.60 tff(4431,plain,
% 6.46/4.60 (v1(constB6) <=> v1(constB6)),
% 6.46/4.60 inference(rewrite,[status(thm)],[])).
% 6.46/4.60 tff(4432,axiom,(v1(constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_6')).
% 6.46/4.60 tff(4433,plain,
% 6.46/4.60 (v1(constB6)),
% 6.46/4.60 inference(modus_ponens,[status(thm)],[4432, 4431])).
% 6.46/4.60 tff(4434,plain,
% 6.46/4.60 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v1(constB6)) | (~v102(constB6))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4435,plain,
% 6.46/4.60 ((~((~v1(constB6)) | (~v102(constB6)))) | (~v102(constB6))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4434, 4433])).
% 6.46/4.60 tff(4436,plain,
% 6.46/4.60 (~((~v1(constB6)) | (~v102(constB6)))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4435, 4430])).
% 6.46/4.60 tff(4437,plain,
% 6.46/4.60 ((~(v101(constB6) <=> (~((~v1(constB6)) | (~v102(constB6)))))) | v101(constB6) | ((~v1(constB6)) | (~v102(constB6)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4438,plain,
% 6.46/4.60 (v101(constB6)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4437, 4436, 4417])).
% 6.46/4.60 tff(4439,plain,
% 6.46/4.60 (((~![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)))),
% 6.46/4.60 inference(rewrite,[status(thm)],[])).
% 6.46/4.60 tff(4440,plain,
% 6.46/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5)))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4441,plain,
% 6.46/4.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB5, constB6)) | (v110(constB6) <=> v108(constB5))),
% 6.46/4.60 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 6.46/4.60 tff(4442,plain,
% 6.46/4.60 (v110(constB6) <=> v108(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4441, 3707, 4007])).
% 6.46/4.60 tff(4443,plain,
% 6.46/4.60 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB5) <=> (v111(constB5) | v112(constB5)))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4444,plain,
% 6.46/4.60 (v108(constB5) <=> (v111(constB5) | v112(constB5))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4443, 4018])).
% 6.46/4.60 tff(4445,plain,
% 6.46/4.60 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4446,plain,
% 6.46/4.60 (v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5))))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4445, 4030])).
% 6.46/4.60 tff(4447,plain,
% 6.46/4.60 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB5) <=> (v114(constB5) | v125(constB5)))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4448,plain,
% 6.46/4.60 (v113(constB5) <=> (v114(constB5) | v125(constB5))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4447, 4039])).
% 6.46/4.60 tff(4449,plain,
% 6.46/4.60 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB5) <=> (v115(constB5) | v124(constB5)))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4450,plain,
% 6.46/4.60 (v114(constB5) <=> (v115(constB5) | v124(constB5))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4449, 4048])).
% 6.46/4.60 tff(4451,plain,
% 6.46/4.60 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB5) <=> (v116(constB5) | v123(constB5)))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4452,plain,
% 6.46/4.60 (v115(constB5) <=> (v116(constB5) | v123(constB5))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4451, 4057])).
% 6.46/4.60 tff(4453,plain,
% 6.46/4.60 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB5) <=> (v117(constB5) | v122(constB5)))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4454,plain,
% 6.46/4.60 (v116(constB5) <=> (v117(constB5) | v122(constB5))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4453, 4066])).
% 6.46/4.60 tff(4455,plain,
% 6.46/4.60 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB5) <=> (v118(constB5) | v121(constB5)))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4456,plain,
% 6.46/4.60 (v117(constB5) <=> (v118(constB5) | v121(constB5))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4455, 4075])).
% 6.46/4.60 tff(4457,plain,
% 6.46/4.60 ((v118(constB5) | v121(constB5)) | (~v121(constB5))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4458,plain,
% 6.46/4.60 (v118(constB5) | v121(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4457, 4379])).
% 6.46/4.60 tff(4459,plain,
% 6.46/4.60 ((~(v117(constB5) <=> (v118(constB5) | v121(constB5)))) | v117(constB5) | (~(v118(constB5) | v121(constB5)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4460,plain,
% 6.46/4.60 (v117(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4459, 4458, 4456])).
% 6.46/4.60 tff(4461,plain,
% 6.46/4.60 ((v117(constB5) | v122(constB5)) | (~v117(constB5))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4462,plain,
% 6.46/4.60 (v117(constB5) | v122(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4461, 4460])).
% 6.46/4.60 tff(4463,plain,
% 6.46/4.60 ((~(v116(constB5) <=> (v117(constB5) | v122(constB5)))) | v116(constB5) | (~(v117(constB5) | v122(constB5)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4464,plain,
% 6.46/4.60 (v116(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4463, 4462, 4454])).
% 6.46/4.60 tff(4465,plain,
% 6.46/4.60 ((v116(constB5) | v123(constB5)) | (~v116(constB5))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4466,plain,
% 6.46/4.60 (v116(constB5) | v123(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4465, 4464])).
% 6.46/4.60 tff(4467,plain,
% 6.46/4.60 ((~(v115(constB5) <=> (v116(constB5) | v123(constB5)))) | v115(constB5) | (~(v116(constB5) | v123(constB5)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4468,plain,
% 6.46/4.60 (v115(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4467, 4466, 4452])).
% 6.46/4.60 tff(4469,plain,
% 6.46/4.60 ((v115(constB5) | v124(constB5)) | (~v115(constB5))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4470,plain,
% 6.46/4.60 (v115(constB5) | v124(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4469, 4468])).
% 6.46/4.60 tff(4471,plain,
% 6.46/4.60 ((~(v114(constB5) <=> (v115(constB5) | v124(constB5)))) | v114(constB5) | (~(v115(constB5) | v124(constB5)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4472,plain,
% 6.46/4.60 (v114(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4471, 4470, 4450])).
% 6.46/4.60 tff(4473,plain,
% 6.46/4.60 ((v114(constB5) | v125(constB5)) | (~v114(constB5))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4474,plain,
% 6.46/4.60 (v114(constB5) | v125(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4473, 4472])).
% 6.46/4.60 tff(4475,plain,
% 6.46/4.60 ((~(v113(constB5) <=> (v114(constB5) | v125(constB5)))) | v113(constB5) | (~(v114(constB5) | v125(constB5)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4476,plain,
% 6.46/4.60 (v113(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4475, 4474, 4448])).
% 6.46/4.60 tff(4477,plain,
% 6.46/4.60 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB5)) <=> v111(constB5))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4478,plain,
% 6.46/4.60 ((~v126(constB5)) <=> v111(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4477, 4118])).
% 6.46/4.60 tff(4479,plain,
% 6.46/4.60 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5) | v111(constB5)),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4480,plain,
% 6.46/4.60 ((~((~v126(constB5)) <=> v111(constB5))) | v126(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4479, 3720])).
% 6.46/4.60 tff(4481,plain,
% 6.46/4.60 (v126(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4480, 4478])).
% 6.46/4.60 tff(4482,plain,
% 6.46/4.60 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5)) | (~v126(constB5))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4483,plain,
% 6.46/4.60 ((~((~v113(constB5)) | (~v126(constB5)))) | (~v113(constB5))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4482, 4481])).
% 6.46/4.60 tff(4484,plain,
% 6.46/4.60 (~((~v113(constB5)) | (~v126(constB5)))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4483, 4476])).
% 6.46/4.60 tff(4485,plain,
% 6.46/4.60 ((~(v112(constB5) <=> (~((~v113(constB5)) | (~v126(constB5)))))) | v112(constB5) | ((~v113(constB5)) | (~v126(constB5)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4486,plain,
% 6.46/4.60 (v112(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4485, 4484, 4446])).
% 6.46/4.60 tff(4487,plain,
% 6.46/4.60 ((v111(constB5) | v112(constB5)) | (~v112(constB5))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4488,plain,
% 6.46/4.60 (v111(constB5) | v112(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4487, 4486])).
% 6.46/4.60 tff(4489,plain,
% 6.46/4.60 ((~(v108(constB5) <=> (v111(constB5) | v112(constB5)))) | v108(constB5) | (~(v111(constB5) | v112(constB5)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4490,plain,
% 6.46/4.60 (v108(constB5)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4489, 4488, 4444])).
% 6.46/4.60 tff(4491,plain,
% 6.46/4.60 ((~(v110(constB6) <=> v108(constB5))) | v110(constB6) | (~v108(constB5))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4492,plain,
% 6.46/4.60 (v110(constB6)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4491, 4490, 4442])).
% 6.46/4.60 tff(4493,plain,
% 6.46/4.60 ((~((~v101(constB6)) | (~v110(constB6)))) | (~v101(constB6)) | (~v110(constB6))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4494,plain,
% 6.46/4.60 (~((~v101(constB6)) | (~v110(constB6)))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4493, 4492, 4438])).
% 6.46/4.60 tff(4495,plain,
% 6.46/4.60 ((~(v100(constB6) <=> (~((~v101(constB6)) | (~v110(constB6)))))) | v100(constB6) | ((~v101(constB6)) | (~v110(constB6)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4496,plain,
% 6.46/4.60 (v100(constB6)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4495, 4494, 4410])).
% 6.46/4.60 tff(4497,plain,
% 6.46/4.60 (((~![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)))))),
% 6.46/4.60 inference(rewrite,[status(thm)],[])).
% 6.46/4.60 tff(4498,plain,
% 6.46/4.60 (((~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)))))),
% 6.46/4.60 inference(rewrite,[status(thm)],[])).
% 6.46/4.60 tff(4499,plain,
% 6.46/4.60 (((~![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))))))),
% 6.46/4.60 inference(monotonicity,[status(thm)],[4498])).
% 6.46/4.60 tff(4500,plain,
% 6.46/4.60 (((~![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)))))),
% 6.46/4.60 inference(transitivity,[status(thm)],[4499, 4497])).
% 6.46/4.60 tff(4501,plain,
% 6.46/4.60 ((~![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)))))),
% 6.46/4.60 inference(quant_inst,[status(thm)],[])).
% 6.46/4.60 tff(4502,plain,
% 6.46/4.60 ((~![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))))),
% 6.46/4.60 inference(modus_ponens,[status(thm)],[4501, 4500])).
% 6.46/4.60 tff(4503,plain,
% 6.46/4.60 ((~v100(constB6)) | (~(((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4502, 4151])).
% 6.46/4.60 tff(4504,plain,
% 6.46/4.60 (~(((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4503, 4496])).
% 6.46/4.60 tff(4505,plain,
% 6.46/4.60 ((((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))) | (~((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4506,plain,
% 6.46/4.60 (~((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4505, 4504])).
% 6.46/4.60 tff(4507,plain,
% 6.46/4.60 (((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2)),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4508,plain,
% 6.46/4.60 (~v90(constB6, bitIndex2)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4507, 4506, 4406])).
% 6.46/4.60 tff(4509,plain,
% 6.46/4.60 (((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | (~v90(constB7, bitIndex2)) | v90(constB6, bitIndex2)),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4510,plain,
% 6.46/4.60 (~v90(constB7, bitIndex2)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4509, 4508, 3704])).
% 6.46/4.60 tff(4511,plain,
% 6.46/4.60 ((((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))) | (~((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4512,plain,
% 6.46/4.60 (~((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4511, 3702])).
% 6.46/4.60 tff(4513,plain,
% 6.46/4.60 ((((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0))) | (~((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4514,plain,
% 6.46/4.60 (~((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4513, 3711])).
% 6.46/4.60 tff(4515,plain,
% 6.46/4.60 ((((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1))) | (~((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4516,plain,
% 6.46/4.60 (~((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4515, 3725])).
% 6.46/4.60 tff(4517,plain,
% 6.46/4.60 ((v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)) | (~v130(constB5, bitIndex1))) | v130(constB5, bitIndex0)),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4518,plain,
% 6.46/4.60 (v130(constB5, bitIndex0)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4517, 4400])).
% 6.46/4.60 tff(4519,plain,
% 6.46/4.60 (((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)) | v127(constB5, bitIndex0) | (~v130(constB5, bitIndex0))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4520,plain,
% 6.46/4.60 (v127(constB5, bitIndex0)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4519, 4518, 4516])).
% 6.46/4.60 tff(4521,plain,
% 6.46/4.60 (((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0)) | v129(constB6, bitIndex0) | (~v127(constB5, bitIndex0))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4522,plain,
% 6.46/4.60 (v129(constB6, bitIndex0)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4521, 4520, 4514])).
% 6.46/4.60 tff(4523,plain,
% 6.46/4.60 ((((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))) | (~((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4524,plain,
% 6.46/4.60 (~((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4523, 4504])).
% 6.46/4.60 tff(4525,plain,
% 6.46/4.60 (((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4526,plain,
% 6.46/4.60 (v90(constB6, bitIndex0)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4525, 4524, 4522])).
% 6.46/4.60 tff(4527,plain,
% 6.46/4.60 (((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0)) | v90(constB7, bitIndex0) | (~v90(constB6, bitIndex0))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4528,plain,
% 6.46/4.60 (v90(constB7, bitIndex0)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4527, 4526, 4512])).
% 6.46/4.60 tff(4529,plain,
% 6.46/4.60 ((((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | ((~v90(constB7, bitIndex2)) <=> v90(constB6, bitIndex2)) | ((~v90(constB7, bitIndex0)) <=> v90(constB6, bitIndex0))) | (~((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4530,plain,
% 6.46/4.60 (~((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4529, 3702])).
% 6.46/4.60 tff(4531,plain,
% 6.46/4.60 ((((~v129(constB6, bitIndex2)) <=> v127(constB5, bitIndex2)) | ((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | ((~v129(constB6, bitIndex0)) <=> v127(constB5, bitIndex0))) | (~((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4532,plain,
% 6.46/4.60 (~((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4531, 3711])).
% 6.46/4.60 tff(4533,plain,
% 6.46/4.60 ((((~v127(constB5, bitIndex2)) <=> v130(constB5, bitIndex2)) | ((~v127(constB5, bitIndex0)) <=> v130(constB5, bitIndex0)) | ((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1))) | (~((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4534,plain,
% 6.46/4.60 (~((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4533, 3725])).
% 6.46/4.60 tff(4535,plain,
% 6.46/4.60 ((v130(constB5, bitIndex2) | (~v130(constB5, bitIndex0)) | (~v130(constB5, bitIndex1))) | v130(constB5, bitIndex1)),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4536,plain,
% 6.46/4.60 (v130(constB5, bitIndex1)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4535, 4400])).
% 6.46/4.60 tff(4537,plain,
% 6.46/4.60 (((~v127(constB5, bitIndex1)) <=> v130(constB5, bitIndex1)) | v127(constB5, bitIndex1) | (~v130(constB5, bitIndex1))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4538,plain,
% 6.46/4.60 (v127(constB5, bitIndex1)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4537, 4536, 4534])).
% 6.46/4.60 tff(4539,plain,
% 6.46/4.60 (((~v129(constB6, bitIndex1)) <=> v127(constB5, bitIndex1)) | v129(constB6, bitIndex1) | (~v127(constB5, bitIndex1))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4540,plain,
% 6.46/4.60 (v129(constB6, bitIndex1)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4539, 4538, 4532])).
% 6.46/4.60 tff(4541,plain,
% 6.46/4.60 ((((~v90(constB6, bitIndex0)) <=> v129(constB6, bitIndex0)) | ((~v90(constB6, bitIndex2)) <=> v129(constB6, bitIndex2)) | ((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))) | (~((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4542,plain,
% 6.46/4.60 (~((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4541, 4504])).
% 6.46/4.60 tff(4543,plain,
% 6.46/4.60 (((~v90(constB6, bitIndex1)) <=> v129(constB6, bitIndex1)) | v90(constB6, bitIndex1) | (~v129(constB6, bitIndex1))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4544,plain,
% 6.46/4.60 (v90(constB6, bitIndex1)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4543, 4542, 4540])).
% 6.46/4.60 tff(4545,plain,
% 6.46/4.60 (((~v90(constB7, bitIndex1)) <=> v90(constB6, bitIndex1)) | v90(constB7, bitIndex1) | (~v90(constB6, bitIndex1))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4546,plain,
% 6.46/4.60 (v90(constB7, bitIndex1)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4545, 4544, 4530])).
% 6.46/4.60 tff(4547,plain,
% 6.46/4.60 ((~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))) | v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4548,plain,
% 6.46/4.60 (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4547, 4546, 4528, 4510])).
% 6.46/4.60 tff(4549,plain,
% 6.46/4.60 ((~(v122(constB7) <=> (~(v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))))) | v122(constB7) | (v90(constB7, bitIndex2) | (~v90(constB7, bitIndex1)) | (~v90(constB7, bitIndex0)))),
% 6.46/4.60 inference(tautology,[status(thm)],[])).
% 6.46/4.60 tff(4550,plain,
% 6.46/4.60 (v122(constB7)),
% 6.46/4.60 inference(unit_resolution,[status(thm)],[4549, 4548, 3668])).
% 6.46/4.60 tff(4551,plain,
% 6.46/4.60 (^[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))))))),
% 6.46/4.60 inference(bind,[status(th)],[])).
% 6.46/4.60 tff(4552,plain,
% 6.46/4.60 (![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)))))),
% 6.46/4.60 inference(quant_intro,[status(thm)],[4551])).
% 6.46/4.60 tff(4553,plain,
% 6.46/4.60 (^[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))))))),
% 6.46/4.60 inference(bind,[status(th)],[])).
% 6.46/4.60 tff(4554,plain,
% 6.46/4.60 (![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)))))),
% 6.46/4.60 inference(quant_intro,[status(thm)],[4553])).
% 6.46/4.60 tff(4555,plain,
% 6.46/4.60 (![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))))),
% 6.46/4.60 inference(rewrite,[status(thm)],[])).
% 6.46/4.60 tff(4556,plain,
% 6.46/4.60 (^[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))))))),
% 6.46/4.60 inference(bind,[status(th)],[])).
% 6.46/4.60 tff(4557,plain,
% 6.46/4.60 (![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))))),
% 6.46/4.60 inference(quant_intro,[status(thm)],[4556])).
% 6.46/4.60 tff(4558,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')).
% 6.46/4.60 tff(4559,plain,
% 6.46/4.60 (![VarCurr: $i] : ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4558, 4557])).
% 6.46/4.61 tff(4560,plain,
% 6.46/4.61 (![VarCurr: $i] : ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4559, 4555])).
% 6.46/4.61 tff(4561,plain,(
% 6.46/4.61 ![VarCurr: $i] : ((~v122(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & (~v130(VarCurr, bitIndex0))))),
% 6.46/4.61 inference(skolemize,[status(sab)],[4560])).
% 6.46/4.61 tff(4562,plain,
% 6.46/4.61 (![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4561, 4554])).
% 6.46/4.61 tff(4563,plain,
% 6.46/4.61 (![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4562, 4552])).
% 6.46/4.61 tff(4564,plain,
% 6.46/4.61 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB7)) | (~(v130(constB7, bitIndex0) | v130(constB7, bitIndex1) | (~v130(constB7, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB7)) | (~(v130(constB7, bitIndex0) | v130(constB7, bitIndex1) | (~v130(constB7, bitIndex2)))))),
% 6.46/4.61 inference(rewrite,[status(thm)],[])).
% 6.46/4.61 tff(4565,plain,
% 6.46/4.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB7)) | (~(v130(constB7, bitIndex0) | v130(constB7, bitIndex1) | (~v130(constB7, bitIndex2)))))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4566,plain,
% 6.46/4.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB7)) | (~(v130(constB7, bitIndex0) | v130(constB7, bitIndex1) | (~v130(constB7, bitIndex2))))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4565, 4564])).
% 6.46/4.61 tff(4567,plain,
% 6.46/4.61 ((~v122(constB7)) | (~(v130(constB7, bitIndex0) | v130(constB7, bitIndex1) | (~v130(constB7, bitIndex2))))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4566, 4563])).
% 6.46/4.61 tff(4568,plain,
% 6.46/4.61 (~(v130(constB7, bitIndex0) | v130(constB7, bitIndex1) | (~v130(constB7, bitIndex2)))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4567, 4550])).
% 6.46/4.61 tff(4569,plain,
% 6.46/4.61 ((v130(constB7, bitIndex0) | v130(constB7, bitIndex1) | (~v130(constB7, bitIndex2))) | v130(constB7, bitIndex2)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4570,plain,
% 6.46/4.61 (v130(constB7, bitIndex2)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4569, 4568])).
% 6.46/4.61 tff(4571,plain,
% 6.46/4.61 (((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | v127(constB7, bitIndex2) | (~v130(constB7, bitIndex2))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4572,plain,
% 6.46/4.61 (v127(constB7, bitIndex2)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4571, 4570, 3661])).
% 6.46/4.61 tff(4573,plain,
% 6.46/4.61 (((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | v129(constB8, bitIndex2) | (~v127(constB7, bitIndex2))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4574,plain,
% 6.46/4.61 (v129(constB8, bitIndex2)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4573, 4572, 3647])).
% 6.46/4.61 tff(4575,plain,
% 6.46/4.61 (((~![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))))))),
% 6.46/4.61 inference(rewrite,[status(thm)],[])).
% 6.46/4.61 tff(4576,plain,
% 6.46/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4577,plain,
% 6.46/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB7, constB8)) | (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 6.46/4.61 tff(4578,plain,
% 6.46/4.61 (v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8))))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4577, 3641, 433])).
% 6.46/4.61 tff(4579,plain,
% 6.46/4.61 (((~![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))))))),
% 6.46/4.61 inference(rewrite,[status(thm)],[])).
% 6.46/4.61 tff(4580,plain,
% 6.46/4.61 (((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8)))))) <=> ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))))),
% 6.46/4.61 inference(rewrite,[status(thm)],[])).
% 6.46/4.61 tff(4581,plain,
% 6.46/4.61 (((~![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)))))))),
% 6.46/4.61 inference(monotonicity,[status(thm)],[4580])).
% 6.46/4.61 tff(4582,plain,
% 6.46/4.61 (((~![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))))))),
% 6.46/4.61 inference(transitivity,[status(thm)],[4581, 4579])).
% 6.46/4.61 tff(4583,plain,
% 6.46/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v102(constB8)) | (~v1(constB8))))))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4584,plain,
% 6.46/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 6.46/4.61 tff(4585,plain,
% 6.46/4.61 (v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8))))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4584, 3641, 453])).
% 6.46/4.61 tff(4586,plain,
% 6.46/4.61 (((~![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)))),
% 6.46/4.61 inference(rewrite,[status(thm)],[])).
% 6.46/4.61 tff(4587,plain,
% 6.46/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8)))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4588,plain,
% 6.46/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB7, constB8)) | ((~v102(constB8)) <=> v104(constB8))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 6.46/4.61 tff(4589,plain,
% 6.46/4.61 ((~v102(constB8)) <=> v104(constB8)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4588, 3641, 3966])).
% 6.46/4.61 tff(4590,plain,
% 6.46/4.61 (((~![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)))),
% 6.46/4.61 inference(rewrite,[status(thm)],[])).
% 6.46/4.61 tff(4591,plain,
% 6.46/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7)))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4592,plain,
% 6.46/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v1(constB7))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4591, 4590])).
% 6.46/4.61 tff(4593,plain,
% 6.46/4.61 (v104(constB8) <=> v1(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4592, 3641, 3980])).
% 6.46/4.61 tff(4594,plain,
% 6.46/4.61 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8)) | v1(constB7)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4595,plain,
% 6.46/4.61 ((~(v104(constB8) <=> v1(constB7))) | (~v104(constB8))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4594, 3685])).
% 6.46/4.61 tff(4596,plain,
% 6.46/4.61 (~v104(constB8)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4595, 4593])).
% 6.46/4.61 tff(4597,plain,
% 6.46/4.61 ((~((~v102(constB8)) <=> v104(constB8))) | v102(constB8) | v104(constB8)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4598,plain,
% 6.46/4.61 (v102(constB8)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4597, 4596, 4589])).
% 6.46/4.61 tff(4599,plain,
% 6.46/4.61 (v1(constB8) <=> v1(constB8)),
% 6.46/4.61 inference(rewrite,[status(thm)],[])).
% 6.46/4.61 tff(4600,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8')).
% 6.46/4.61 tff(4601,plain,
% 6.46/4.61 (v1(constB8)),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4600, 4599])).
% 6.46/4.61 tff(4602,plain,
% 6.46/4.61 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v1(constB8)) | (~v102(constB8))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4603,plain,
% 6.46/4.61 ((~((~v1(constB8)) | (~v102(constB8)))) | (~v102(constB8))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4602, 4601])).
% 6.46/4.61 tff(4604,plain,
% 6.46/4.61 (~((~v1(constB8)) | (~v102(constB8)))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4603, 4598])).
% 6.46/4.61 tff(4605,plain,
% 6.46/4.61 ((~(v101(constB8) <=> (~((~v1(constB8)) | (~v102(constB8)))))) | v101(constB8) | ((~v1(constB8)) | (~v102(constB8)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4606,plain,
% 6.46/4.61 (v101(constB8)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4605, 4604, 4585])).
% 6.46/4.61 tff(4607,plain,
% 6.46/4.61 (((~![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)))),
% 6.46/4.61 inference(rewrite,[status(thm)],[])).
% 6.46/4.61 tff(4608,plain,
% 6.46/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7)))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4609,plain,
% 6.46/4.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB7, constB8)) | (v110(constB8) <=> v108(constB7))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 6.46/4.61 tff(4610,plain,
% 6.46/4.61 (v110(constB8) <=> v108(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4609, 3641, 4007])).
% 6.46/4.61 tff(4611,plain,
% 6.46/4.61 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB7) <=> (v111(constB7) | v112(constB7)))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4612,plain,
% 6.46/4.61 (v108(constB7) <=> (v111(constB7) | v112(constB7))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4611, 4018])).
% 6.46/4.61 tff(4613,plain,
% 6.46/4.61 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4614,plain,
% 6.46/4.61 (v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7))))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4613, 4030])).
% 6.46/4.61 tff(4615,plain,
% 6.46/4.61 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB7) <=> (v114(constB7) | v125(constB7)))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4616,plain,
% 6.46/4.61 (v113(constB7) <=> (v114(constB7) | v125(constB7))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4615, 4039])).
% 6.46/4.61 tff(4617,plain,
% 6.46/4.61 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB7) <=> (v115(constB7) | v124(constB7)))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4618,plain,
% 6.46/4.61 (v114(constB7) <=> (v115(constB7) | v124(constB7))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4617, 4048])).
% 6.46/4.61 tff(4619,plain,
% 6.46/4.61 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB7) <=> (v116(constB7) | v123(constB7)))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4620,plain,
% 6.46/4.61 (v115(constB7) <=> (v116(constB7) | v123(constB7))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4619, 4057])).
% 6.46/4.61 tff(4621,plain,
% 6.46/4.61 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB7) <=> (v117(constB7) | v122(constB7)))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4622,plain,
% 6.46/4.61 (v116(constB7) <=> (v117(constB7) | v122(constB7))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4621, 4066])).
% 6.46/4.61 tff(4623,plain,
% 6.46/4.61 ((v117(constB7) | v122(constB7)) | (~v122(constB7))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4624,plain,
% 6.46/4.61 (v117(constB7) | v122(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4623, 4550])).
% 6.46/4.61 tff(4625,plain,
% 6.46/4.61 ((~(v116(constB7) <=> (v117(constB7) | v122(constB7)))) | v116(constB7) | (~(v117(constB7) | v122(constB7)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4626,plain,
% 6.46/4.61 (v116(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4625, 4624, 4622])).
% 6.46/4.61 tff(4627,plain,
% 6.46/4.61 ((v116(constB7) | v123(constB7)) | (~v116(constB7))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4628,plain,
% 6.46/4.61 (v116(constB7) | v123(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4627, 4626])).
% 6.46/4.61 tff(4629,plain,
% 6.46/4.61 ((~(v115(constB7) <=> (v116(constB7) | v123(constB7)))) | v115(constB7) | (~(v116(constB7) | v123(constB7)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4630,plain,
% 6.46/4.61 (v115(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4629, 4628, 4620])).
% 6.46/4.61 tff(4631,plain,
% 6.46/4.61 ((v115(constB7) | v124(constB7)) | (~v115(constB7))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4632,plain,
% 6.46/4.61 (v115(constB7) | v124(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4631, 4630])).
% 6.46/4.61 tff(4633,plain,
% 6.46/4.61 ((~(v114(constB7) <=> (v115(constB7) | v124(constB7)))) | v114(constB7) | (~(v115(constB7) | v124(constB7)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4634,plain,
% 6.46/4.61 (v114(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4633, 4632, 4618])).
% 6.46/4.61 tff(4635,plain,
% 6.46/4.61 ((v114(constB7) | v125(constB7)) | (~v114(constB7))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4636,plain,
% 6.46/4.61 (v114(constB7) | v125(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4635, 4634])).
% 6.46/4.61 tff(4637,plain,
% 6.46/4.61 ((~(v113(constB7) <=> (v114(constB7) | v125(constB7)))) | v113(constB7) | (~(v114(constB7) | v125(constB7)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4638,plain,
% 6.46/4.61 (v113(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4637, 4636, 4616])).
% 6.46/4.61 tff(4639,plain,
% 6.46/4.61 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB7)) <=> v111(constB7))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4640,plain,
% 6.46/4.61 ((~v126(constB7)) <=> v111(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4639, 4118])).
% 6.46/4.61 tff(4641,plain,
% 6.46/4.61 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7) | v111(constB7)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4642,plain,
% 6.46/4.61 ((~((~v126(constB7)) <=> v111(constB7))) | v126(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4641, 3654])).
% 6.46/4.61 tff(4643,plain,
% 6.46/4.61 (v126(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4642, 4640])).
% 6.46/4.61 tff(4644,plain,
% 6.46/4.61 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7)) | (~v126(constB7))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4645,plain,
% 6.46/4.61 ((~((~v113(constB7)) | (~v126(constB7)))) | (~v113(constB7))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4644, 4643])).
% 6.46/4.61 tff(4646,plain,
% 6.46/4.61 (~((~v113(constB7)) | (~v126(constB7)))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4645, 4638])).
% 6.46/4.61 tff(4647,plain,
% 6.46/4.61 ((~(v112(constB7) <=> (~((~v113(constB7)) | (~v126(constB7)))))) | v112(constB7) | ((~v113(constB7)) | (~v126(constB7)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4648,plain,
% 6.46/4.61 (v112(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4647, 4646, 4614])).
% 6.46/4.61 tff(4649,plain,
% 6.46/4.61 ((v111(constB7) | v112(constB7)) | (~v112(constB7))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4650,plain,
% 6.46/4.61 (v111(constB7) | v112(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4649, 4648])).
% 6.46/4.61 tff(4651,plain,
% 6.46/4.61 ((~(v108(constB7) <=> (v111(constB7) | v112(constB7)))) | v108(constB7) | (~(v111(constB7) | v112(constB7)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4652,plain,
% 6.46/4.61 (v108(constB7)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4651, 4650, 4612])).
% 6.46/4.61 tff(4653,plain,
% 6.46/4.61 ((~(v110(constB8) <=> v108(constB7))) | v110(constB8) | (~v108(constB7))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4654,plain,
% 6.46/4.61 (v110(constB8)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4653, 4652, 4610])).
% 6.46/4.61 tff(4655,plain,
% 6.46/4.61 ((~((~v101(constB8)) | (~v110(constB8)))) | (~v101(constB8)) | (~v110(constB8))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4656,plain,
% 6.46/4.61 (~((~v101(constB8)) | (~v110(constB8)))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4655, 4654, 4606])).
% 6.46/4.61 tff(4657,plain,
% 6.46/4.61 ((~(v100(constB8) <=> (~((~v101(constB8)) | (~v110(constB8)))))) | v100(constB8) | ((~v101(constB8)) | (~v110(constB8)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4658,plain,
% 6.46/4.61 (v100(constB8)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4657, 4656, 4578])).
% 6.46/4.61 tff(4659,plain,
% 6.46/4.61 (((~![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)))))),
% 6.46/4.61 inference(rewrite,[status(thm)],[])).
% 6.46/4.61 tff(4660,plain,
% 6.46/4.61 ((~![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)))))),
% 6.46/4.61 inference(quant_inst,[status(thm)],[])).
% 6.46/4.61 tff(4661,plain,
% 6.46/4.61 ((~![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))))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4660, 4659])).
% 6.46/4.61 tff(4662,plain,
% 6.46/4.61 ((~v100(constB8)) | (~(((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0))))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4661, 4151])).
% 6.46/4.61 tff(4663,plain,
% 6.46/4.61 (~(((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0)))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4662, 4658])).
% 6.46/4.61 tff(4664,plain,
% 6.46/4.61 ((((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0))) | (~((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4665,plain,
% 6.46/4.61 (~((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4664, 4663])).
% 6.46/4.61 tff(4666,plain,
% 6.46/4.61 (((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | v90(constB8, bitIndex2) | (~v129(constB8, bitIndex2))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4667,plain,
% 6.46/4.61 (v90(constB8, bitIndex2)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4666, 4665, 4574])).
% 6.46/4.61 tff(4668,plain,
% 6.46/4.61 (((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | v90(constB9, bitIndex2) | (~v90(constB8, bitIndex2))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4669,plain,
% 6.46/4.61 (v90(constB9, bitIndex2)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4668, 4667, 3638])).
% 6.46/4.61 tff(4670,plain,
% 6.46/4.61 ((((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))) | (~((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4671,plain,
% 6.46/4.61 (~((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4670, 3636])).
% 6.46/4.61 tff(4672,plain,
% 6.46/4.61 ((((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0))) | (~((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4673,plain,
% 6.46/4.61 (~((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4672, 3645])).
% 6.46/4.61 tff(4674,plain,
% 6.46/4.61 ((((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1))) | (~((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4675,plain,
% 6.46/4.61 (~((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4674, 3659])).
% 6.46/4.61 tff(4676,plain,
% 6.46/4.61 ((v130(constB7, bitIndex0) | v130(constB7, bitIndex1) | (~v130(constB7, bitIndex2))) | (~v130(constB7, bitIndex0))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4677,plain,
% 6.46/4.61 (~v130(constB7, bitIndex0)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4676, 4568])).
% 6.46/4.61 tff(4678,plain,
% 6.46/4.61 (((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)) | (~v127(constB7, bitIndex0)) | v130(constB7, bitIndex0)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4679,plain,
% 6.46/4.61 (~v127(constB7, bitIndex0)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4678, 4677, 4675])).
% 6.46/4.61 tff(4680,plain,
% 6.46/4.61 (((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0)) | (~v129(constB8, bitIndex0)) | v127(constB7, bitIndex0)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4681,plain,
% 6.46/4.61 (~v129(constB8, bitIndex0)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4680, 4679, 4673])).
% 6.46/4.61 tff(4682,plain,
% 6.46/4.61 ((((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0))) | (~((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4683,plain,
% 6.46/4.61 (~((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4682, 4663])).
% 6.46/4.61 tff(4684,plain,
% 6.46/4.61 (((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0)) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4685,plain,
% 6.46/4.61 (~v90(constB8, bitIndex0)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4684, 4683, 4681])).
% 6.46/4.61 tff(4686,plain,
% 6.46/4.61 (((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0)) | (~v90(constB9, bitIndex0)) | v90(constB8, bitIndex0)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4687,plain,
% 6.46/4.61 (~v90(constB9, bitIndex0)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4686, 4685, 4671])).
% 6.46/4.61 tff(4688,plain,
% 6.46/4.61 ((((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | ((~v90(constB9, bitIndex2)) <=> v90(constB8, bitIndex2)) | ((~v90(constB9, bitIndex0)) <=> v90(constB8, bitIndex0))) | (~((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4689,plain,
% 6.46/4.61 (~((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4688, 3636])).
% 6.46/4.61 tff(4690,plain,
% 6.46/4.61 ((((~v129(constB8, bitIndex2)) <=> v127(constB7, bitIndex2)) | ((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | ((~v129(constB8, bitIndex0)) <=> v127(constB7, bitIndex0))) | (~((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4691,plain,
% 6.46/4.61 (~((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4690, 3645])).
% 6.46/4.61 tff(4692,plain,
% 6.46/4.61 ((((~v127(constB7, bitIndex2)) <=> v130(constB7, bitIndex2)) | ((~v127(constB7, bitIndex0)) <=> v130(constB7, bitIndex0)) | ((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1))) | (~((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4693,plain,
% 6.46/4.61 (~((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4692, 3659])).
% 6.46/4.61 tff(4694,plain,
% 6.46/4.61 ((v130(constB7, bitIndex0) | v130(constB7, bitIndex1) | (~v130(constB7, bitIndex2))) | (~v130(constB7, bitIndex1))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4695,plain,
% 6.46/4.61 (~v130(constB7, bitIndex1)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4694, 4568])).
% 6.46/4.61 tff(4696,plain,
% 6.46/4.61 (((~v127(constB7, bitIndex1)) <=> v130(constB7, bitIndex1)) | (~v127(constB7, bitIndex1)) | v130(constB7, bitIndex1)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4697,plain,
% 6.46/4.61 (~v127(constB7, bitIndex1)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4696, 4695, 4693])).
% 6.46/4.61 tff(4698,plain,
% 6.46/4.61 (((~v129(constB8, bitIndex1)) <=> v127(constB7, bitIndex1)) | (~v129(constB8, bitIndex1)) | v127(constB7, bitIndex1)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4699,plain,
% 6.46/4.61 (~v129(constB8, bitIndex1)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4698, 4697, 4691])).
% 6.46/4.61 tff(4700,plain,
% 6.46/4.61 ((((~v90(constB8, bitIndex2)) <=> v129(constB8, bitIndex2)) | ((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | ((~v90(constB8, bitIndex0)) <=> v129(constB8, bitIndex0))) | (~((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4701,plain,
% 6.46/4.61 (~((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4700, 4663])).
% 6.46/4.61 tff(4702,plain,
% 6.46/4.61 (((~v90(constB8, bitIndex1)) <=> v129(constB8, bitIndex1)) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4703,plain,
% 6.46/4.61 (~v90(constB8, bitIndex1)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4702, 4701, 4699])).
% 6.46/4.61 tff(4704,plain,
% 6.46/4.61 (((~v90(constB9, bitIndex1)) <=> v90(constB8, bitIndex1)) | (~v90(constB9, bitIndex1)) | v90(constB8, bitIndex1)),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4705,plain,
% 6.46/4.61 (~v90(constB9, bitIndex1)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4704, 4703, 4689])).
% 6.46/4.61 tff(4706,plain,
% 6.46/4.61 ((~(v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2)))) | v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4707,plain,
% 6.46/4.61 (~(v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2)))),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4706, 4705, 4687, 4669])).
% 6.46/4.61 tff(4708,plain,
% 6.46/4.61 ((~(v123(constB9) <=> (~(v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2)))))) | v123(constB9) | (v90(constB9, bitIndex1) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex2)))),
% 6.46/4.61 inference(tautology,[status(thm)],[])).
% 6.46/4.61 tff(4709,plain,
% 6.46/4.61 (v123(constB9)),
% 6.46/4.61 inference(unit_resolution,[status(thm)],[4708, 4707, 3602])).
% 6.46/4.61 tff(4710,plain,
% 6.46/4.61 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0))))) <=> ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0))))))),
% 6.46/4.61 inference(bind,[status(th)],[])).
% 6.46/4.61 tff(4711,plain,
% 6.46/4.61 (![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))),
% 6.46/4.61 inference(quant_intro,[status(thm)],[4710])).
% 6.46/4.61 tff(4712,plain,
% 6.46/4.61 (^[VarCurr: $i] : rewrite(((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0))) <=> ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0))))))),
% 6.46/4.61 inference(bind,[status(th)],[])).
% 6.46/4.61 tff(4713,plain,
% 6.46/4.61 (![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))),
% 6.46/4.61 inference(quant_intro,[status(thm)],[4712])).
% 6.46/4.61 tff(4714,plain,
% 6.46/4.61 (![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)))),
% 6.46/4.61 inference(rewrite,[status(thm)],[])).
% 6.46/4.61 tff(4715,plain,
% 6.46/4.61 (^[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) <=> $true) <=> v130(VarCurr, bitIndex0)), ((((v130(VarCurr, bitIndex2) <=> $true) & (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) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true)) <=> (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))), ((v123(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> (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) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))))),
% 6.46/4.61 inference(bind,[status(th)],[])).
% 6.46/4.61 tff(4716,plain,
% 6.46/4.61 (![VarCurr: $i] : (v123(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.46/4.61 inference(quant_intro,[status(thm)],[4715])).
% 6.46/4.61 tff(4717,axiom,(![VarCurr: $i] : (v123(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $false)) & (v130(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4')).
% 6.46/4.61 tff(4718,plain,
% 6.46/4.61 (![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4717, 4716])).
% 6.46/4.61 tff(4719,plain,
% 6.46/4.61 (![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.46/4.61 inference(modus_ponens,[status(thm)],[4718, 4714])).
% 6.46/4.61 tff(4720,plain,(
% 6.46/4.61 ![VarCurr: $i] : ((~v123(VarCurr)) | (v130(VarCurr, bitIndex2) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.46/4.62 inference(skolemize,[status(sab)],[4719])).
% 6.46/4.62 tff(4721,plain,
% 6.46/4.62 (![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4720, 4713])).
% 6.46/4.62 tff(4722,plain,
% 6.46/4.62 (![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4721, 4711])).
% 6.46/4.62 tff(4723,plain,
% 6.46/4.62 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB9)) | (~(v130(constB9, bitIndex1) | (~v130(constB9, bitIndex2)) | (~v130(constB9, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB9)) | (~(v130(constB9, bitIndex1) | (~v130(constB9, bitIndex2)) | (~v130(constB9, bitIndex0)))))),
% 6.46/4.62 inference(rewrite,[status(thm)],[])).
% 6.46/4.62 tff(4724,plain,
% 6.46/4.62 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB9)) | (~(v130(constB9, bitIndex1) | (~v130(constB9, bitIndex2)) | (~v130(constB9, bitIndex0)))))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4725,plain,
% 6.46/4.62 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB9)) | (~(v130(constB9, bitIndex1) | (~v130(constB9, bitIndex2)) | (~v130(constB9, bitIndex0))))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4724, 4723])).
% 6.46/4.62 tff(4726,plain,
% 6.46/4.62 ((~v123(constB9)) | (~(v130(constB9, bitIndex1) | (~v130(constB9, bitIndex2)) | (~v130(constB9, bitIndex0))))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4725, 4722])).
% 6.46/4.62 tff(4727,plain,
% 6.46/4.62 (~(v130(constB9, bitIndex1) | (~v130(constB9, bitIndex2)) | (~v130(constB9, bitIndex0)))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4726, 4709])).
% 6.46/4.62 tff(4728,plain,
% 6.46/4.62 ((v130(constB9, bitIndex1) | (~v130(constB9, bitIndex2)) | (~v130(constB9, bitIndex0))) | v130(constB9, bitIndex2)),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4729,plain,
% 6.46/4.62 (v130(constB9, bitIndex2)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4728, 4727])).
% 6.46/4.62 tff(4730,plain,
% 6.46/4.62 (((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | v127(constB9, bitIndex2) | (~v130(constB9, bitIndex2))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4731,plain,
% 6.46/4.62 (v127(constB9, bitIndex2)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4730, 4729, 3595])).
% 6.46/4.62 tff(4732,plain,
% 6.46/4.62 (((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | v129(constB10, bitIndex2) | (~v127(constB9, bitIndex2))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4733,plain,
% 6.46/4.62 (v129(constB10, bitIndex2)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4732, 4731, 3581])).
% 6.46/4.62 tff(4734,plain,
% 6.46/4.62 (((~![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))))))),
% 6.46/4.62 inference(rewrite,[status(thm)],[])).
% 6.46/4.62 tff(4735,plain,
% 6.46/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4736,plain,
% 6.46/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB9, constB10)) | (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4735, 4734])).
% 6.46/4.62 tff(4737,plain,
% 6.46/4.62 (v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10))))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4736, 3575, 433])).
% 6.46/4.62 tff(4738,plain,
% 6.46/4.62 (((~![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))))))),
% 6.46/4.62 inference(rewrite,[status(thm)],[])).
% 6.46/4.62 tff(4739,plain,
% 6.46/4.62 (((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10)))))) <=> ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))))),
% 6.46/4.62 inference(rewrite,[status(thm)],[])).
% 6.46/4.62 tff(4740,plain,
% 6.46/4.62 (((~![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)))))))),
% 6.46/4.62 inference(monotonicity,[status(thm)],[4739])).
% 6.46/4.62 tff(4741,plain,
% 6.46/4.62 (((~![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))))))),
% 6.46/4.62 inference(transitivity,[status(thm)],[4740, 4738])).
% 6.46/4.62 tff(4742,plain,
% 6.46/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v102(constB10)) | (~v1(constB10))))))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4743,plain,
% 6.46/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4742, 4741])).
% 6.46/4.62 tff(4744,plain,
% 6.46/4.62 (v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10))))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4743, 3575, 453])).
% 6.46/4.62 tff(4745,plain,
% 6.46/4.62 (((~![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)))),
% 6.46/4.62 inference(rewrite,[status(thm)],[])).
% 6.46/4.62 tff(4746,plain,
% 6.46/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10)))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4747,plain,
% 6.46/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB9, constB10)) | ((~v102(constB10)) <=> v104(constB10))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4746, 4745])).
% 6.46/4.62 tff(4748,plain,
% 6.46/4.62 ((~v102(constB10)) <=> v104(constB10)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4747, 3575, 3966])).
% 6.46/4.62 tff(4749,plain,
% 6.46/4.62 (((~![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)))),
% 6.46/4.62 inference(rewrite,[status(thm)],[])).
% 6.46/4.62 tff(4750,plain,
% 6.46/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9)))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4751,plain,
% 6.46/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v1(constB9))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4750, 4749])).
% 6.46/4.62 tff(4752,plain,
% 6.46/4.62 (v104(constB10) <=> v1(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4751, 3575, 3980])).
% 6.46/4.62 tff(4753,plain,
% 6.46/4.62 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10)) | v1(constB9)),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4754,plain,
% 6.46/4.62 ((~(v104(constB10) <=> v1(constB9))) | (~v104(constB10))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4753, 3619])).
% 6.46/4.62 tff(4755,plain,
% 6.46/4.62 (~v104(constB10)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4754, 4752])).
% 6.46/4.62 tff(4756,plain,
% 6.46/4.62 ((~((~v102(constB10)) <=> v104(constB10))) | v102(constB10) | v104(constB10)),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4757,plain,
% 6.46/4.62 (v102(constB10)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4756, 4755, 4748])).
% 6.46/4.62 tff(4758,plain,
% 6.46/4.62 (v1(constB10) <=> v1(constB10)),
% 6.46/4.62 inference(rewrite,[status(thm)],[])).
% 6.46/4.62 tff(4759,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10')).
% 6.46/4.62 tff(4760,plain,
% 6.46/4.62 (v1(constB10)),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4759, 4758])).
% 6.46/4.62 tff(4761,plain,
% 6.46/4.62 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v1(constB10)) | (~v102(constB10))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4762,plain,
% 6.46/4.62 ((~((~v1(constB10)) | (~v102(constB10)))) | (~v102(constB10))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4761, 4760])).
% 6.46/4.62 tff(4763,plain,
% 6.46/4.62 (~((~v1(constB10)) | (~v102(constB10)))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4762, 4757])).
% 6.46/4.62 tff(4764,plain,
% 6.46/4.62 ((~(v101(constB10) <=> (~((~v1(constB10)) | (~v102(constB10)))))) | v101(constB10) | ((~v1(constB10)) | (~v102(constB10)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4765,plain,
% 6.46/4.62 (v101(constB10)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4764, 4763, 4744])).
% 6.46/4.62 tff(4766,plain,
% 6.46/4.62 (((~![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)))),
% 6.46/4.62 inference(rewrite,[status(thm)],[])).
% 6.46/4.62 tff(4767,plain,
% 6.46/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9)))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4768,plain,
% 6.46/4.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB9, constB10)) | (v110(constB10) <=> v108(constB9))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4767, 4766])).
% 6.46/4.62 tff(4769,plain,
% 6.46/4.62 (v110(constB10) <=> v108(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4768, 3575, 4007])).
% 6.46/4.62 tff(4770,plain,
% 6.46/4.62 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB9) <=> (v111(constB9) | v112(constB9)))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4771,plain,
% 6.46/4.62 (v108(constB9) <=> (v111(constB9) | v112(constB9))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4770, 4018])).
% 6.46/4.62 tff(4772,plain,
% 6.46/4.62 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4773,plain,
% 6.46/4.62 (v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9))))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4772, 4030])).
% 6.46/4.62 tff(4774,plain,
% 6.46/4.62 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB9) <=> (v114(constB9) | v125(constB9)))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4775,plain,
% 6.46/4.62 (v113(constB9) <=> (v114(constB9) | v125(constB9))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4774, 4039])).
% 6.46/4.62 tff(4776,plain,
% 6.46/4.62 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB9) <=> (v115(constB9) | v124(constB9)))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4777,plain,
% 6.46/4.62 (v114(constB9) <=> (v115(constB9) | v124(constB9))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4776, 4048])).
% 6.46/4.62 tff(4778,plain,
% 6.46/4.62 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB9) <=> (v116(constB9) | v123(constB9)))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4779,plain,
% 6.46/4.62 (v115(constB9) <=> (v116(constB9) | v123(constB9))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4778, 4057])).
% 6.46/4.62 tff(4780,plain,
% 6.46/4.62 ((v116(constB9) | v123(constB9)) | (~v123(constB9))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4781,plain,
% 6.46/4.62 (v116(constB9) | v123(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4780, 4709])).
% 6.46/4.62 tff(4782,plain,
% 6.46/4.62 ((~(v115(constB9) <=> (v116(constB9) | v123(constB9)))) | v115(constB9) | (~(v116(constB9) | v123(constB9)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4783,plain,
% 6.46/4.62 (v115(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4782, 4781, 4779])).
% 6.46/4.62 tff(4784,plain,
% 6.46/4.62 ((v115(constB9) | v124(constB9)) | (~v115(constB9))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4785,plain,
% 6.46/4.62 (v115(constB9) | v124(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4784, 4783])).
% 6.46/4.62 tff(4786,plain,
% 6.46/4.62 ((~(v114(constB9) <=> (v115(constB9) | v124(constB9)))) | v114(constB9) | (~(v115(constB9) | v124(constB9)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4787,plain,
% 6.46/4.62 (v114(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4786, 4785, 4777])).
% 6.46/4.62 tff(4788,plain,
% 6.46/4.62 ((v114(constB9) | v125(constB9)) | (~v114(constB9))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4789,plain,
% 6.46/4.62 (v114(constB9) | v125(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4788, 4787])).
% 6.46/4.62 tff(4790,plain,
% 6.46/4.62 ((~(v113(constB9) <=> (v114(constB9) | v125(constB9)))) | v113(constB9) | (~(v114(constB9) | v125(constB9)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4791,plain,
% 6.46/4.62 (v113(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4790, 4789, 4775])).
% 6.46/4.62 tff(4792,plain,
% 6.46/4.62 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB9)) <=> v111(constB9))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4793,plain,
% 6.46/4.62 ((~v126(constB9)) <=> v111(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4792, 4118])).
% 6.46/4.62 tff(4794,plain,
% 6.46/4.62 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9) | v111(constB9)),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4795,plain,
% 6.46/4.62 ((~((~v126(constB9)) <=> v111(constB9))) | v126(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4794, 3588])).
% 6.46/4.62 tff(4796,plain,
% 6.46/4.62 (v126(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4795, 4793])).
% 6.46/4.62 tff(4797,plain,
% 6.46/4.62 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9)) | (~v126(constB9))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4798,plain,
% 6.46/4.62 ((~((~v113(constB9)) | (~v126(constB9)))) | (~v113(constB9))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4797, 4796])).
% 6.46/4.62 tff(4799,plain,
% 6.46/4.62 (~((~v113(constB9)) | (~v126(constB9)))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4798, 4791])).
% 6.46/4.62 tff(4800,plain,
% 6.46/4.62 ((~(v112(constB9) <=> (~((~v113(constB9)) | (~v126(constB9)))))) | v112(constB9) | ((~v113(constB9)) | (~v126(constB9)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4801,plain,
% 6.46/4.62 (v112(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4800, 4799, 4773])).
% 6.46/4.62 tff(4802,plain,
% 6.46/4.62 ((v111(constB9) | v112(constB9)) | (~v112(constB9))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4803,plain,
% 6.46/4.62 (v111(constB9) | v112(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4802, 4801])).
% 6.46/4.62 tff(4804,plain,
% 6.46/4.62 ((~(v108(constB9) <=> (v111(constB9) | v112(constB9)))) | v108(constB9) | (~(v111(constB9) | v112(constB9)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4805,plain,
% 6.46/4.62 (v108(constB9)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4804, 4803, 4771])).
% 6.46/4.62 tff(4806,plain,
% 6.46/4.62 ((~(v110(constB10) <=> v108(constB9))) | v110(constB10) | (~v108(constB9))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4807,plain,
% 6.46/4.62 (v110(constB10)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4806, 4805, 4769])).
% 6.46/4.62 tff(4808,plain,
% 6.46/4.62 ((~((~v101(constB10)) | (~v110(constB10)))) | (~v101(constB10)) | (~v110(constB10))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4809,plain,
% 6.46/4.62 (~((~v101(constB10)) | (~v110(constB10)))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4808, 4807, 4765])).
% 6.46/4.62 tff(4810,plain,
% 6.46/4.62 ((~(v100(constB10) <=> (~((~v101(constB10)) | (~v110(constB10)))))) | v100(constB10) | ((~v101(constB10)) | (~v110(constB10)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4811,plain,
% 6.46/4.62 (v100(constB10)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4810, 4809, 4737])).
% 6.46/4.62 tff(4812,plain,
% 6.46/4.62 (((~![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)))))),
% 6.46/4.62 inference(rewrite,[status(thm)],[])).
% 6.46/4.62 tff(4813,plain,
% 6.46/4.62 (((~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)))))),
% 6.46/4.62 inference(rewrite,[status(thm)],[])).
% 6.46/4.62 tff(4814,plain,
% 6.46/4.62 (((~![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))))))),
% 6.46/4.62 inference(monotonicity,[status(thm)],[4813])).
% 6.46/4.62 tff(4815,plain,
% 6.46/4.62 (((~![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)))))),
% 6.46/4.62 inference(transitivity,[status(thm)],[4814, 4812])).
% 6.46/4.62 tff(4816,plain,
% 6.46/4.62 ((~![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)))))),
% 6.46/4.62 inference(quant_inst,[status(thm)],[])).
% 6.46/4.62 tff(4817,plain,
% 6.46/4.62 ((~![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))))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4816, 4815])).
% 6.46/4.62 tff(4818,plain,
% 6.46/4.62 ((~v100(constB10)) | (~(((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4817, 4151])).
% 6.46/4.62 tff(4819,plain,
% 6.46/4.62 (~(((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4818, 4811])).
% 6.46/4.62 tff(4820,plain,
% 6.46/4.62 ((((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))) | (~((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4821,plain,
% 6.46/4.62 (~((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4820, 4819])).
% 6.46/4.62 tff(4822,plain,
% 6.46/4.62 (((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4823,plain,
% 6.46/4.62 (v90(constB10, bitIndex2)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4822, 4821, 4733])).
% 6.46/4.62 tff(4824,plain,
% 6.46/4.62 (((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | v90(constB11, bitIndex2) | (~v90(constB10, bitIndex2))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4825,plain,
% 6.46/4.62 (v90(constB11, bitIndex2)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4824, 4823, 3572])).
% 6.46/4.62 tff(4826,plain,
% 6.46/4.62 ((((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))) | (~((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4827,plain,
% 6.46/4.62 (~((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4826, 3570])).
% 6.46/4.62 tff(4828,plain,
% 6.46/4.62 ((((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0))) | (~((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4829,plain,
% 6.46/4.62 (~((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4828, 3579])).
% 6.46/4.62 tff(4830,plain,
% 6.46/4.62 ((((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1))) | (~((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4831,plain,
% 6.46/4.62 (~((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4830, 3593])).
% 6.46/4.62 tff(4832,plain,
% 6.46/4.62 ((v130(constB9, bitIndex1) | (~v130(constB9, bitIndex2)) | (~v130(constB9, bitIndex0))) | v130(constB9, bitIndex0)),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4833,plain,
% 6.46/4.62 (v130(constB9, bitIndex0)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4832, 4727])).
% 6.46/4.62 tff(4834,plain,
% 6.46/4.62 (((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)) | v127(constB9, bitIndex0) | (~v130(constB9, bitIndex0))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4835,plain,
% 6.46/4.62 (v127(constB9, bitIndex0)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4834, 4833, 4831])).
% 6.46/4.62 tff(4836,plain,
% 6.46/4.62 (((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0)) | v129(constB10, bitIndex0) | (~v127(constB9, bitIndex0))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4837,plain,
% 6.46/4.62 (v129(constB10, bitIndex0)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4836, 4835, 4829])).
% 6.46/4.62 tff(4838,plain,
% 6.46/4.62 ((((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))) | (~((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4839,plain,
% 6.46/4.62 (~((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4838, 4819])).
% 6.46/4.62 tff(4840,plain,
% 6.46/4.62 (((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4841,plain,
% 6.46/4.62 (v90(constB10, bitIndex0)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4840, 4839, 4837])).
% 6.46/4.62 tff(4842,plain,
% 6.46/4.62 (((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0)) | v90(constB11, bitIndex0) | (~v90(constB10, bitIndex0))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4843,plain,
% 6.46/4.62 (v90(constB11, bitIndex0)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4842, 4841, 4827])).
% 6.46/4.62 tff(4844,plain,
% 6.46/4.62 ((((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | ((~v90(constB11, bitIndex2)) <=> v90(constB10, bitIndex2)) | ((~v90(constB11, bitIndex0)) <=> v90(constB10, bitIndex0))) | (~((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4845,plain,
% 6.46/4.62 (~((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4844, 3570])).
% 6.46/4.62 tff(4846,plain,
% 6.46/4.62 ((((~v129(constB10, bitIndex2)) <=> v127(constB9, bitIndex2)) | ((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | ((~v129(constB10, bitIndex0)) <=> v127(constB9, bitIndex0))) | (~((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4847,plain,
% 6.46/4.62 (~((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4846, 3579])).
% 6.46/4.62 tff(4848,plain,
% 6.46/4.62 ((((~v127(constB9, bitIndex2)) <=> v130(constB9, bitIndex2)) | ((~v127(constB9, bitIndex0)) <=> v130(constB9, bitIndex0)) | ((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1))) | (~((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4849,plain,
% 6.46/4.62 (~((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4848, 3593])).
% 6.46/4.62 tff(4850,plain,
% 6.46/4.62 ((v130(constB9, bitIndex1) | (~v130(constB9, bitIndex2)) | (~v130(constB9, bitIndex0))) | (~v130(constB9, bitIndex1))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4851,plain,
% 6.46/4.62 (~v130(constB9, bitIndex1)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4850, 4727])).
% 6.46/4.62 tff(4852,plain,
% 6.46/4.62 (((~v127(constB9, bitIndex1)) <=> v130(constB9, bitIndex1)) | (~v127(constB9, bitIndex1)) | v130(constB9, bitIndex1)),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4853,plain,
% 6.46/4.62 (~v127(constB9, bitIndex1)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4852, 4851, 4849])).
% 6.46/4.62 tff(4854,plain,
% 6.46/4.62 (((~v129(constB10, bitIndex1)) <=> v127(constB9, bitIndex1)) | (~v129(constB10, bitIndex1)) | v127(constB9, bitIndex1)),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4855,plain,
% 6.46/4.62 (~v129(constB10, bitIndex1)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4854, 4853, 4847])).
% 6.46/4.62 tff(4856,plain,
% 6.46/4.62 ((((~v90(constB10, bitIndex0)) <=> v129(constB10, bitIndex0)) | ((~v90(constB10, bitIndex2)) <=> v129(constB10, bitIndex2)) | ((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))) | (~((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4857,plain,
% 6.46/4.62 (~((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4856, 4819])).
% 6.46/4.62 tff(4858,plain,
% 6.46/4.62 (((~v90(constB10, bitIndex1)) <=> v129(constB10, bitIndex1)) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1)),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4859,plain,
% 6.46/4.62 (~v90(constB10, bitIndex1)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4858, 4857, 4855])).
% 6.46/4.62 tff(4860,plain,
% 6.46/4.62 (((~v90(constB11, bitIndex1)) <=> v90(constB10, bitIndex1)) | (~v90(constB11, bitIndex1)) | v90(constB10, bitIndex1)),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4861,plain,
% 6.46/4.62 (~v90(constB11, bitIndex1)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4860, 4859, 4845])).
% 6.46/4.62 tff(4862,plain,
% 6.46/4.62 ((~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0)))) | v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4863,plain,
% 6.46/4.62 (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0)))),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4862, 4861, 4843, 4825])).
% 6.46/4.62 tff(4864,plain,
% 6.46/4.62 ((~(v124(constB11) <=> (~(v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0)))))) | v124(constB11) | (v90(constB11, bitIndex1) | (~v90(constB11, bitIndex2)) | (~v90(constB11, bitIndex0)))),
% 6.46/4.62 inference(tautology,[status(thm)],[])).
% 6.46/4.62 tff(4865,plain,
% 6.46/4.62 (v124(constB11)),
% 6.46/4.62 inference(unit_resolution,[status(thm)],[4864, 4863, 3536])).
% 6.46/4.62 tff(4866,plain,
% 6.46/4.62 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1))))) <=> ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1))))))),
% 6.46/4.62 inference(bind,[status(th)],[])).
% 6.46/4.62 tff(4867,plain,
% 6.46/4.62 (![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))),
% 6.46/4.62 inference(quant_intro,[status(thm)],[4866])).
% 6.46/4.62 tff(4868,plain,
% 6.46/4.62 (^[VarCurr: $i] : rewrite(((~v124(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1))))))),
% 6.46/4.62 inference(bind,[status(th)],[])).
% 6.46/4.62 tff(4869,plain,
% 6.46/4.62 (![VarCurr: $i] : ((~v124(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))),
% 6.46/4.62 inference(quant_intro,[status(thm)],[4868])).
% 6.46/4.62 tff(4870,plain,
% 6.46/4.62 (![VarCurr: $i] : ((~v124(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.46/4.62 inference(rewrite,[status(thm)],[])).
% 6.46/4.62 tff(4871,plain,
% 6.46/4.62 (^[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))))), ((v124(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> (v124(VarCurr) => (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))))), rewrite((v124(VarCurr) => (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0)))) <=> ((~v124(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))), ((v124(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> ((~v124(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))))),
% 6.46/4.62 inference(bind,[status(th)],[])).
% 6.46/4.62 tff(4872,plain,
% 6.46/4.62 (![VarCurr: $i] : (v124(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.46/4.62 inference(quant_intro,[status(thm)],[4871])).
% 6.46/4.62 tff(4873,axiom,(![VarCurr: $i] : (v124(VarCurr) => (((v130(VarCurr, bitIndex2) <=> $true) & (v130(VarCurr, bitIndex1) <=> $true)) & (v130(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5')).
% 6.46/4.62 tff(4874,plain,
% 6.46/4.62 (![VarCurr: $i] : ((~v124(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4873, 4872])).
% 6.46/4.62 tff(4875,plain,
% 6.46/4.62 (![VarCurr: $i] : ((~v124(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4874, 4870])).
% 6.46/4.62 tff(4876,plain,(
% 6.46/4.62 ![VarCurr: $i] : ((~v124(VarCurr)) | (v130(VarCurr, bitIndex2) & v130(VarCurr, bitIndex1) & (~v130(VarCurr, bitIndex0))))),
% 6.46/4.62 inference(skolemize,[status(sab)],[4875])).
% 6.46/4.62 tff(4877,plain,
% 6.46/4.62 (![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))),
% 6.46/4.62 inference(modus_ponens,[status(thm)],[4876, 4869])).
% 6.46/4.62 tff(4878,plain,
% 6.46/4.62 (![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))),
% 6.46/4.63 inference(modus_ponens,[status(thm)],[4877, 4867])).
% 6.46/4.63 tff(4879,plain,
% 6.46/4.63 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB11)) | (~(v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)) | (~v130(constB11, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB11)) | (~(v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)) | (~v130(constB11, bitIndex1)))))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(4880,plain,
% 6.46/4.63 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB11)) | (~(v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)) | (~v130(constB11, bitIndex1)))))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4881,plain,
% 6.46/4.63 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB11)) | (~(v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)) | (~v130(constB11, bitIndex1))))),
% 6.46/4.63 inference(modus_ponens,[status(thm)],[4880, 4879])).
% 6.46/4.63 tff(4882,plain,
% 6.46/4.63 ((~v124(constB11)) | (~(v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)) | (~v130(constB11, bitIndex1))))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4881, 4878])).
% 6.46/4.63 tff(4883,plain,
% 6.46/4.63 (~(v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)) | (~v130(constB11, bitIndex1)))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4882, 4865])).
% 6.46/4.63 tff(4884,plain,
% 6.46/4.63 ((v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)) | (~v130(constB11, bitIndex1))) | v130(constB11, bitIndex2)),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4885,plain,
% 6.46/4.63 (v130(constB11, bitIndex2)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4884, 4883])).
% 6.46/4.63 tff(4886,plain,
% 6.46/4.63 (((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | v127(constB11, bitIndex2) | (~v130(constB11, bitIndex2))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4887,plain,
% 6.46/4.63 (v127(constB11, bitIndex2)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4886, 4885, 3529])).
% 6.46/4.63 tff(4888,plain,
% 6.46/4.63 (((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | v129(constB12, bitIndex2) | (~v127(constB11, bitIndex2))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4889,plain,
% 6.46/4.63 (v129(constB12, bitIndex2)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4888, 4887, 3515])).
% 6.46/4.63 tff(4890,plain,
% 6.46/4.63 (((~![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))))))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(4891,plain,
% 6.46/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4892,plain,
% 6.46/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB11, constB12)) | (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))),
% 6.46/4.63 inference(modus_ponens,[status(thm)],[4891, 4890])).
% 6.46/4.63 tff(4893,plain,
% 6.46/4.63 (v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12))))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4892, 3509, 433])).
% 6.46/4.63 tff(4894,plain,
% 6.46/4.63 (((~![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))))))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(4895,plain,
% 6.46/4.63 (((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12)))))) <=> ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(4896,plain,
% 6.46/4.63 (((~![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)))))))),
% 6.46/4.63 inference(monotonicity,[status(thm)],[4895])).
% 6.46/4.63 tff(4897,plain,
% 6.46/4.63 (((~![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))))))),
% 6.46/4.63 inference(transitivity,[status(thm)],[4896, 4894])).
% 6.46/4.63 tff(4898,plain,
% 6.46/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v102(constB12)) | (~v1(constB12))))))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4899,plain,
% 6.46/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))),
% 6.46/4.63 inference(modus_ponens,[status(thm)],[4898, 4897])).
% 6.46/4.63 tff(4900,plain,
% 6.46/4.63 (v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12))))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4899, 3509, 453])).
% 6.46/4.63 tff(4901,plain,
% 6.46/4.63 (((~![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)))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(4902,plain,
% 6.46/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12)))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4903,plain,
% 6.46/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB11, constB12)) | ((~v102(constB12)) <=> v104(constB12))),
% 6.46/4.63 inference(modus_ponens,[status(thm)],[4902, 4901])).
% 6.46/4.63 tff(4904,plain,
% 6.46/4.63 ((~v102(constB12)) <=> v104(constB12)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4903, 3509, 3966])).
% 6.46/4.63 tff(4905,plain,
% 6.46/4.63 (((~![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)))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(4906,plain,
% 6.46/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11)))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4907,plain,
% 6.46/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v1(constB11))),
% 6.46/4.63 inference(modus_ponens,[status(thm)],[4906, 4905])).
% 6.46/4.63 tff(4908,plain,
% 6.46/4.63 (v104(constB12) <=> v1(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4907, 3509, 3980])).
% 6.46/4.63 tff(4909,plain,
% 6.46/4.63 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12)) | v1(constB11)),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4910,plain,
% 6.46/4.63 ((~(v104(constB12) <=> v1(constB11))) | (~v104(constB12))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4909, 3553])).
% 6.46/4.63 tff(4911,plain,
% 6.46/4.63 (~v104(constB12)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4910, 4908])).
% 6.46/4.63 tff(4912,plain,
% 6.46/4.63 ((~((~v102(constB12)) <=> v104(constB12))) | v102(constB12) | v104(constB12)),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4913,plain,
% 6.46/4.63 (v102(constB12)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4912, 4911, 4904])).
% 6.46/4.63 tff(4914,plain,
% 6.46/4.63 (v1(constB12) <=> v1(constB12)),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(4915,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12')).
% 6.46/4.63 tff(4916,plain,
% 6.46/4.63 (v1(constB12)),
% 6.46/4.63 inference(modus_ponens,[status(thm)],[4915, 4914])).
% 6.46/4.63 tff(4917,plain,
% 6.46/4.63 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v1(constB12)) | (~v102(constB12))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4918,plain,
% 6.46/4.63 ((~((~v1(constB12)) | (~v102(constB12)))) | (~v102(constB12))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4917, 4916])).
% 6.46/4.63 tff(4919,plain,
% 6.46/4.63 (~((~v1(constB12)) | (~v102(constB12)))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4918, 4913])).
% 6.46/4.63 tff(4920,plain,
% 6.46/4.63 ((~(v101(constB12) <=> (~((~v1(constB12)) | (~v102(constB12)))))) | v101(constB12) | ((~v1(constB12)) | (~v102(constB12)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4921,plain,
% 6.46/4.63 (v101(constB12)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4920, 4919, 4900])).
% 6.46/4.63 tff(4922,plain,
% 6.46/4.63 (((~![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)))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(4923,plain,
% 6.46/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11)))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4924,plain,
% 6.46/4.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB11, constB12)) | (v110(constB12) <=> v108(constB11))),
% 6.46/4.63 inference(modus_ponens,[status(thm)],[4923, 4922])).
% 6.46/4.63 tff(4925,plain,
% 6.46/4.63 (v110(constB12) <=> v108(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4924, 3509, 4007])).
% 6.46/4.63 tff(4926,plain,
% 6.46/4.63 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB11) <=> (v111(constB11) | v112(constB11)))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4927,plain,
% 6.46/4.63 (v108(constB11) <=> (v111(constB11) | v112(constB11))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4926, 4018])).
% 6.46/4.63 tff(4928,plain,
% 6.46/4.63 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4929,plain,
% 6.46/4.63 (v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11))))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4928, 4030])).
% 6.46/4.63 tff(4930,plain,
% 6.46/4.63 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB11) <=> (v114(constB11) | v125(constB11)))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4931,plain,
% 6.46/4.63 (v113(constB11) <=> (v114(constB11) | v125(constB11))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4930, 4039])).
% 6.46/4.63 tff(4932,plain,
% 6.46/4.63 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB11) <=> (v115(constB11) | v124(constB11)))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4933,plain,
% 6.46/4.63 (v114(constB11) <=> (v115(constB11) | v124(constB11))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4932, 4048])).
% 6.46/4.63 tff(4934,plain,
% 6.46/4.63 ((v115(constB11) | v124(constB11)) | (~v124(constB11))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4935,plain,
% 6.46/4.63 (v115(constB11) | v124(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4934, 4865])).
% 6.46/4.63 tff(4936,plain,
% 6.46/4.63 ((~(v114(constB11) <=> (v115(constB11) | v124(constB11)))) | v114(constB11) | (~(v115(constB11) | v124(constB11)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4937,plain,
% 6.46/4.63 (v114(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4936, 4935, 4933])).
% 6.46/4.63 tff(4938,plain,
% 6.46/4.63 ((v114(constB11) | v125(constB11)) | (~v114(constB11))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4939,plain,
% 6.46/4.63 (v114(constB11) | v125(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4938, 4937])).
% 6.46/4.63 tff(4940,plain,
% 6.46/4.63 ((~(v113(constB11) <=> (v114(constB11) | v125(constB11)))) | v113(constB11) | (~(v114(constB11) | v125(constB11)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4941,plain,
% 6.46/4.63 (v113(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4940, 4939, 4931])).
% 6.46/4.63 tff(4942,plain,
% 6.46/4.63 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB11)) <=> v111(constB11))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4943,plain,
% 6.46/4.63 ((~v126(constB11)) <=> v111(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4942, 4118])).
% 6.46/4.63 tff(4944,plain,
% 6.46/4.63 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11) | v111(constB11)),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4945,plain,
% 6.46/4.63 ((~((~v126(constB11)) <=> v111(constB11))) | v126(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4944, 3522])).
% 6.46/4.63 tff(4946,plain,
% 6.46/4.63 (v126(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4945, 4943])).
% 6.46/4.63 tff(4947,plain,
% 6.46/4.63 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11)) | (~v126(constB11))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4948,plain,
% 6.46/4.63 ((~((~v113(constB11)) | (~v126(constB11)))) | (~v113(constB11))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4947, 4946])).
% 6.46/4.63 tff(4949,plain,
% 6.46/4.63 (~((~v113(constB11)) | (~v126(constB11)))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4948, 4941])).
% 6.46/4.63 tff(4950,plain,
% 6.46/4.63 ((~(v112(constB11) <=> (~((~v113(constB11)) | (~v126(constB11)))))) | v112(constB11) | ((~v113(constB11)) | (~v126(constB11)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4951,plain,
% 6.46/4.63 (v112(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4950, 4949, 4929])).
% 6.46/4.63 tff(4952,plain,
% 6.46/4.63 ((v111(constB11) | v112(constB11)) | (~v112(constB11))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4953,plain,
% 6.46/4.63 (v111(constB11) | v112(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4952, 4951])).
% 6.46/4.63 tff(4954,plain,
% 6.46/4.63 ((~(v108(constB11) <=> (v111(constB11) | v112(constB11)))) | v108(constB11) | (~(v111(constB11) | v112(constB11)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4955,plain,
% 6.46/4.63 (v108(constB11)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4954, 4953, 4927])).
% 6.46/4.63 tff(4956,plain,
% 6.46/4.63 ((~(v110(constB12) <=> v108(constB11))) | v110(constB12) | (~v108(constB11))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4957,plain,
% 6.46/4.63 (v110(constB12)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4956, 4955, 4925])).
% 6.46/4.63 tff(4958,plain,
% 6.46/4.63 ((~((~v101(constB12)) | (~v110(constB12)))) | (~v101(constB12)) | (~v110(constB12))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4959,plain,
% 6.46/4.63 (~((~v101(constB12)) | (~v110(constB12)))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4958, 4957, 4921])).
% 6.46/4.63 tff(4960,plain,
% 6.46/4.63 ((~(v100(constB12) <=> (~((~v101(constB12)) | (~v110(constB12)))))) | v100(constB12) | ((~v101(constB12)) | (~v110(constB12)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4961,plain,
% 6.46/4.63 (v100(constB12)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4960, 4959, 4893])).
% 6.46/4.63 tff(4962,plain,
% 6.46/4.63 (((~![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)))))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(4963,plain,
% 6.46/4.63 ((~![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)))))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4964,plain,
% 6.46/4.63 ((~![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))))),
% 6.46/4.63 inference(modus_ponens,[status(thm)],[4963, 4962])).
% 6.46/4.63 tff(4965,plain,
% 6.46/4.63 ((~v100(constB12)) | (~(((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0))))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4964, 4151])).
% 6.46/4.63 tff(4966,plain,
% 6.46/4.63 (~(((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0)))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4965, 4961])).
% 6.46/4.63 tff(4967,plain,
% 6.46/4.63 ((((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0))) | (~((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4968,plain,
% 6.46/4.63 (~((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4967, 4966])).
% 6.46/4.63 tff(4969,plain,
% 6.46/4.63 (((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4970,plain,
% 6.46/4.63 (v90(constB12, bitIndex2)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4969, 4968, 4889])).
% 6.46/4.63 tff(4971,plain,
% 6.46/4.63 (((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | v90(constB13, bitIndex2) | (~v90(constB12, bitIndex2))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4972,plain,
% 6.46/4.63 (v90(constB13, bitIndex2)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4971, 4970, 3506])).
% 6.46/4.63 tff(4973,plain,
% 6.46/4.63 ((v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex2))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4974,plain,
% 6.46/4.63 (v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4973, 4972])).
% 6.46/4.63 tff(4975,plain,
% 6.46/4.63 ((~(v119(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2))))) | (~v119(constB13)) | (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | v90(constB13, bitIndex2)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4976,plain,
% 6.46/4.63 (~v119(constB13)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4975, 4974, 3470])).
% 6.46/4.63 tff(4977,plain,
% 6.46/4.63 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex0))))))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(4978,plain,
% 6.46/4.63 ((v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2))))) <=> (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex0)))))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(4979,plain,
% 6.46/4.63 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex0))))))),
% 6.46/4.63 inference(monotonicity,[status(thm)],[4978])).
% 6.46/4.63 tff(4980,plain,
% 6.46/4.63 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex0))))))),
% 6.46/4.63 inference(transitivity,[status(thm)],[4979, 4977])).
% 6.46/4.63 tff(4981,plain,
% 6.46/4.63 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex2)))))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(4982,plain,
% 6.46/4.63 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex0)))))),
% 6.46/4.63 inference(modus_ponens,[status(thm)],[4981, 4980])).
% 6.46/4.63 tff(4983,plain,
% 6.46/4.63 (v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex0))))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4982, 801])).
% 6.46/4.63 tff(4984,plain,
% 6.46/4.63 ((((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))) | (~((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4985,plain,
% 6.46/4.63 (~((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4984, 3504])).
% 6.46/4.63 tff(4986,plain,
% 6.46/4.63 ((((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0))) | (~((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4987,plain,
% 6.46/4.63 (~((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4986, 3513])).
% 6.46/4.63 tff(4988,plain,
% 6.46/4.63 ((((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1))) | (~((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4989,plain,
% 6.46/4.63 (~((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4988, 3527])).
% 6.46/4.63 tff(4990,plain,
% 6.46/4.63 ((v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)) | (~v130(constB11, bitIndex1))) | v130(constB11, bitIndex1)),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4991,plain,
% 6.46/4.63 (v130(constB11, bitIndex1)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4990, 4883])).
% 6.46/4.63 tff(4992,plain,
% 6.46/4.63 (((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1)) | v127(constB11, bitIndex1) | (~v130(constB11, bitIndex1))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4993,plain,
% 6.46/4.63 (v127(constB11, bitIndex1)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4992, 4991, 4989])).
% 6.46/4.63 tff(4994,plain,
% 6.46/4.63 (((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | v129(constB12, bitIndex1) | (~v127(constB11, bitIndex1))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4995,plain,
% 6.46/4.63 (v129(constB12, bitIndex1)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4994, 4993, 4987])).
% 6.46/4.63 tff(4996,plain,
% 6.46/4.63 ((((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0))) | (~((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4997,plain,
% 6.46/4.63 (~((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4996, 4966])).
% 6.46/4.63 tff(4998,plain,
% 6.46/4.63 (((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | v90(constB12, bitIndex1) | (~v129(constB12, bitIndex1))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(4999,plain,
% 6.46/4.63 (v90(constB12, bitIndex1)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[4998, 4997, 4995])).
% 6.46/4.63 tff(5000,plain,
% 6.46/4.63 (((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | v90(constB13, bitIndex1) | (~v90(constB12, bitIndex1))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(5001,plain,
% 6.46/4.63 (v90(constB13, bitIndex1)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[5000, 4999, 4985])).
% 6.46/4.63 tff(5002,plain,
% 6.46/4.63 ((v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex1))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(5003,plain,
% 6.46/4.63 (v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex0))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[5002, 5001])).
% 6.46/4.63 tff(5004,plain,
% 6.46/4.63 ((~(v124(constB13) <=> (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex0)))))) | (~v124(constB13)) | (~(v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | (~v90(constB13, bitIndex0))))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(5005,plain,
% 6.46/4.63 (~v124(constB13)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[5004, 5003, 4983])).
% 6.46/4.63 tff(5006,plain,
% 6.46/4.63 (((~![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))))))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(5007,plain,
% 6.46/4.63 ((v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2))))) <=> (v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2)))))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(5008,plain,
% 6.46/4.63 (((~![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))))))),
% 6.46/4.63 inference(monotonicity,[status(thm)],[5007])).
% 6.46/4.63 tff(5009,plain,
% 6.46/4.63 (((~![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))))))),
% 6.46/4.63 inference(transitivity,[status(thm)],[5008, 5006])).
% 6.46/4.63 tff(5010,plain,
% 6.46/4.63 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)))))),
% 6.46/4.63 inference(quant_inst,[status(thm)],[])).
% 6.46/4.63 tff(5011,plain,
% 6.46/4.63 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2)))))),
% 6.46/4.63 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 6.46/4.63 tff(5012,plain,
% 6.46/4.63 (v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2))))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[5011, 880])).
% 6.46/4.63 tff(5013,plain,
% 6.46/4.63 ((v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2))) | (~v90(constB13, bitIndex1))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(5014,plain,
% 6.46/4.63 (v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2))),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[5013, 5001])).
% 6.46/4.63 tff(5015,plain,
% 6.46/4.63 ((~(v123(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2)))))) | (~v123(constB13)) | (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex2))))),
% 6.46/4.63 inference(tautology,[status(thm)],[])).
% 6.46/4.63 tff(5016,plain,
% 6.46/4.63 (~v123(constB13)),
% 6.46/4.63 inference(unit_resolution,[status(thm)],[5015, 5014, 5012])).
% 6.46/4.63 tff(5017,plain,
% 6.46/4.63 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(5018,plain,
% 6.46/4.63 ((v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1))))) <=> (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0)))))),
% 6.46/4.63 inference(rewrite,[status(thm)],[])).
% 6.46/4.63 tff(5019,plain,
% 6.46/4.63 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))))),
% 6.46/4.63 inference(monotonicity,[status(thm)],[5018])).
% 6.46/4.63 tff(5020,plain,
% 6.46/4.63 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))))),
% 6.46/4.64 inference(transitivity,[status(thm)],[5019, 5017])).
% 6.46/4.64 tff(5021,plain,
% 6.46/4.64 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)) | (~v90(constB13, bitIndex1)))))),
% 6.46/4.64 inference(quant_inst,[status(thm)],[])).
% 6.46/4.64 tff(5022,plain,
% 6.46/4.64 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0)))))),
% 6.46/4.64 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 6.46/4.64 tff(5023,plain,
% 6.46/4.64 (v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5022, 959])).
% 6.46/4.64 tff(5024,plain,
% 6.46/4.64 ((v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex2))),
% 6.46/4.64 inference(tautology,[status(thm)],[])).
% 6.46/4.64 tff(5025,plain,
% 6.46/4.64 (v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5024, 4972])).
% 6.46/4.64 tff(5026,plain,
% 6.46/4.64 ((~(v122(constB13) <=> (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0)))))) | (~v122(constB13)) | (~(v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex0))))),
% 6.46/4.64 inference(tautology,[status(thm)],[])).
% 6.46/4.64 tff(5027,plain,
% 6.46/4.64 (~v122(constB13)),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5026, 5025, 5023])).
% 6.46/4.64 tff(5028,plain,
% 6.46/4.64 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1))))))),
% 6.46/4.64 inference(rewrite,[status(thm)],[])).
% 6.46/4.64 tff(5029,plain,
% 6.46/4.64 ((v121(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1))))) <=> (v121(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)))))),
% 6.46/4.64 inference(rewrite,[status(thm)],[])).
% 6.46/4.64 tff(5030,plain,
% 6.46/4.64 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1))))))),
% 6.46/4.64 inference(monotonicity,[status(thm)],[5029])).
% 6.46/4.64 tff(5031,plain,
% 6.46/4.64 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1))))))),
% 6.46/4.64 inference(transitivity,[status(thm)],[5030, 5028])).
% 6.46/4.64 tff(5032,plain,
% 6.46/4.64 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex0) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex1)))))),
% 6.46/4.64 inference(quant_inst,[status(thm)],[])).
% 6.46/4.64 tff(5033,plain,
% 6.46/4.64 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)))))),
% 6.46/4.64 inference(modus_ponens,[status(thm)],[5032, 5031])).
% 6.46/4.64 tff(5034,plain,
% 6.46/4.64 (v121(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1))))),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5033, 574])).
% 6.46/4.64 tff(5035,plain,
% 6.46/4.64 ((v90(constB13, bitIndex2) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1))) | (~v90(constB13, bitIndex2))),
% 6.46/4.64 inference(tautology,[status(thm)],[])).
% 6.46/4.64 tff(5036,plain,
% 6.46/4.64 (v90(constB13, bitIndex2) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1))),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5035, 4972])).
% 6.46/4.64 tff(5037,plain,
% 6.46/4.64 ((~(v121(constB13) <=> (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)))))) | (~v121(constB13)) | (~(v90(constB13, bitIndex2) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1))))),
% 6.46/4.64 inference(tautology,[status(thm)],[])).
% 6.46/4.64 tff(5038,plain,
% 6.46/4.64 (~v121(constB13)),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5037, 5036, 5034])).
% 6.46/4.64 tff(5039,plain,
% 6.46/4.64 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)))))),
% 6.46/4.64 inference(quant_inst,[status(thm)],[])).
% 6.46/4.64 tff(5040,plain,
% 6.46/4.64 (v120(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0))))),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5039, 653])).
% 6.46/4.64 tff(5041,plain,
% 6.46/4.64 ((v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0))) | (~v90(constB13, bitIndex2))),
% 6.46/4.64 inference(tautology,[status(thm)],[])).
% 6.46/4.64 tff(5042,plain,
% 6.46/4.64 (v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0))),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5041, 4972])).
% 6.46/4.64 tff(5043,plain,
% 6.46/4.64 ((~(v120(constB13) <=> (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0)))))) | (~v120(constB13)) | (~(v90(constB13, bitIndex1) | v90(constB13, bitIndex2) | (~v90(constB13, bitIndex0))))),
% 6.46/4.64 inference(tautology,[status(thm)],[])).
% 6.46/4.64 tff(5044,plain,
% 6.46/4.64 (~v120(constB13)),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5043, 5042, 5040])).
% 6.46/4.64 tff(5045,plain,
% 6.46/4.64 (^[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))))))),
% 6.46/4.64 inference(bind,[status(th)],[])).
% 6.46/4.64 tff(5046,plain,
% 6.46/4.64 (![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)))))),
% 6.46/4.64 inference(quant_intro,[status(thm)],[5045])).
% 6.46/4.64 tff(5047,plain,
% 6.46/4.64 (^[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)))))))),
% 6.46/4.64 inference(bind,[status(th)],[])).
% 6.46/4.64 tff(5048,plain,
% 6.46/4.64 (![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)))))),
% 6.46/4.64 inference(quant_intro,[status(thm)],[5047])).
% 6.46/4.64 tff(5049,plain,
% 6.46/4.64 (![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)))),
% 6.46/4.64 inference(rewrite,[status(thm)],[])).
% 6.46/4.64 tff(5050,plain,
% 6.46/4.64 (^[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)))))),
% 6.46/4.64 inference(bind,[status(th)],[])).
% 6.46/4.64 tff(5051,plain,
% 6.46/4.64 (![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)))),
% 6.46/4.64 inference(quant_intro,[status(thm)],[5050])).
% 6.46/4.64 tff(5052,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')).
% 6.46/4.64 tff(5053,plain,
% 6.46/4.64 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.46/4.64 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 6.46/4.64 tff(5054,plain,
% 6.46/4.64 (![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.46/4.64 inference(modus_ponens,[status(thm)],[5053, 5049])).
% 6.46/4.64 tff(5055,plain,(
% 6.46/4.64 ![VarCurr: $i] : ((~((~v119(VarCurr)) & (~v120(VarCurr)) & (~v121(VarCurr)) & (~v122(VarCurr)) & (~v123(VarCurr)) & (~v124(VarCurr)))) | ((~v130(VarCurr, bitIndex2)) & (~v130(VarCurr, bitIndex1)) & v130(VarCurr, bitIndex0)))),
% 6.46/4.64 inference(skolemize,[status(sab)],[5054])).
% 6.46/4.64 tff(5056,plain,
% 6.46/4.64 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))),
% 6.46/4.64 inference(modus_ponens,[status(thm)],[5055, 5048])).
% 6.46/4.64 tff(5057,plain,
% 6.46/4.64 (![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))),
% 6.46/4.64 inference(modus_ponens,[status(thm)],[5056, 5046])).
% 6.46/4.64 tff(5058,plain,
% 6.46/4.64 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, 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(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0)))))),
% 6.46/4.64 inference(rewrite,[status(thm)],[])).
% 6.46/4.64 tff(5059,plain,
% 6.46/4.64 ((v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0))))) <=> (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0)))))),
% 6.46/4.64 inference(rewrite,[status(thm)],[])).
% 6.46/4.64 tff(5060,plain,
% 6.46/4.64 ((~(v130(constB13, bitIndex1) | v130(constB13, bitIndex2) | (~v130(constB13, bitIndex0)))) <=> (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0))))),
% 6.46/4.64 inference(rewrite,[status(thm)],[])).
% 6.46/4.64 tff(5061,plain,
% 6.46/4.64 ((v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~(v130(constB13, bitIndex1) | v130(constB13, bitIndex2) | (~v130(constB13, bitIndex0))))) <=> (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0)))))),
% 6.46/4.64 inference(monotonicity,[status(thm)],[5060])).
% 6.46/4.64 tff(5062,plain,
% 6.46/4.64 ((v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~(v130(constB13, bitIndex1) | v130(constB13, bitIndex2) | (~v130(constB13, bitIndex0))))) <=> (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0)))))),
% 6.46/4.64 inference(transitivity,[status(thm)],[5061, 5059])).
% 6.46/4.64 tff(5063,plain,
% 6.46/4.64 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~(v130(constB13, bitIndex1) | v130(constB13, bitIndex2) | (~v130(constB13, 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(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0))))))),
% 6.46/4.64 inference(monotonicity,[status(thm)],[5062])).
% 6.46/4.64 tff(5064,plain,
% 6.46/4.64 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~(v130(constB13, bitIndex1) | v130(constB13, bitIndex2) | (~v130(constB13, 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(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0)))))),
% 6.46/4.64 inference(transitivity,[status(thm)],[5063, 5058])).
% 6.46/4.64 tff(5065,plain,
% 6.46/4.64 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~(v130(constB13, bitIndex1) | v130(constB13, bitIndex2) | (~v130(constB13, bitIndex0)))))),
% 6.46/4.64 inference(quant_inst,[status(thm)],[])).
% 6.46/4.64 tff(5066,plain,
% 6.46/4.64 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0))))),
% 6.46/4.64 inference(modus_ponens,[status(thm)],[5065, 5064])).
% 6.46/4.64 tff(5067,plain,
% 6.46/4.64 (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0))))),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5066, 5057])).
% 6.46/4.64 tff(5068,plain,
% 6.46/4.64 (~(v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0)))),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5067, 5044, 5038, 5027, 5016, 5005, 4976])).
% 6.46/4.64 tff(5069,plain,
% 6.46/4.64 ((v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0))) | (~v130(constB13, bitIndex2))),
% 6.46/4.64 inference(tautology,[status(thm)],[])).
% 6.46/4.64 tff(5070,plain,
% 6.46/4.64 (~v130(constB13, bitIndex2)),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5069, 5068])).
% 6.46/4.64 tff(5071,plain,
% 6.46/4.64 (((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | (~v127(constB13, bitIndex2)) | v130(constB13, bitIndex2)),
% 6.46/4.64 inference(tautology,[status(thm)],[])).
% 6.46/4.64 tff(5072,plain,
% 6.46/4.64 (~v127(constB13, bitIndex2)),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5071, 5070, 3468])).
% 6.46/4.64 tff(5073,plain,
% 6.46/4.64 (((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | (~v129(constB14, bitIndex2)) | v127(constB13, bitIndex2)),
% 6.46/4.64 inference(tautology,[status(thm)],[])).
% 6.46/4.64 tff(5074,plain,
% 6.46/4.64 (~v129(constB14, bitIndex2)),
% 6.46/4.64 inference(unit_resolution,[status(thm)],[5073, 5072, 3454])).
% 6.46/4.64 tff(5075,plain,
% 6.46/4.64 (((~![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))))))),
% 6.53/4.64 inference(rewrite,[status(thm)],[])).
% 6.53/4.64 tff(5076,plain,
% 6.53/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))))),
% 6.53/4.64 inference(quant_inst,[status(thm)],[])).
% 6.53/4.64 tff(5077,plain,
% 6.53/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB13, constB14)) | (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))),
% 6.53/4.64 inference(modus_ponens,[status(thm)],[5076, 5075])).
% 6.53/4.64 tff(5078,plain,
% 6.53/4.64 (v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14))))),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5077, 3448, 433])).
% 6.53/4.64 tff(5079,plain,
% 6.53/4.64 (((~![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))))))),
% 6.53/4.64 inference(rewrite,[status(thm)],[])).
% 6.53/4.64 tff(5080,plain,
% 6.53/4.64 (((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14)))))) <=> ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))))),
% 6.53/4.64 inference(rewrite,[status(thm)],[])).
% 6.53/4.64 tff(5081,plain,
% 6.53/4.64 (((~![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)))))))),
% 6.53/4.64 inference(monotonicity,[status(thm)],[5080])).
% 6.53/4.64 tff(5082,plain,
% 6.53/4.64 (((~![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))))))),
% 6.53/4.64 inference(transitivity,[status(thm)],[5081, 5079])).
% 6.53/4.64 tff(5083,plain,
% 6.53/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v102(constB14)) | (~v1(constB14))))))),
% 6.53/4.64 inference(quant_inst,[status(thm)],[])).
% 6.53/4.64 tff(5084,plain,
% 6.53/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))),
% 6.53/4.64 inference(modus_ponens,[status(thm)],[5083, 5082])).
% 6.53/4.64 tff(5085,plain,
% 6.53/4.64 (v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14))))),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5084, 3448, 453])).
% 6.53/4.64 tff(5086,plain,
% 6.53/4.64 (((~![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)))),
% 6.53/4.64 inference(rewrite,[status(thm)],[])).
% 6.53/4.64 tff(5087,plain,
% 6.53/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14)))),
% 6.53/4.64 inference(quant_inst,[status(thm)],[])).
% 6.53/4.64 tff(5088,plain,
% 6.53/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB13, constB14)) | ((~v102(constB14)) <=> v104(constB14))),
% 6.53/4.64 inference(modus_ponens,[status(thm)],[5087, 5086])).
% 6.53/4.64 tff(5089,plain,
% 6.53/4.64 ((~v102(constB14)) <=> v104(constB14)),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5088, 3448, 3966])).
% 6.53/4.64 tff(5090,plain,
% 6.53/4.64 (((~![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)))),
% 6.53/4.64 inference(rewrite,[status(thm)],[])).
% 6.53/4.64 tff(5091,plain,
% 6.53/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13)))),
% 6.53/4.64 inference(quant_inst,[status(thm)],[])).
% 6.53/4.64 tff(5092,plain,
% 6.53/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v1(constB13))),
% 6.53/4.64 inference(modus_ponens,[status(thm)],[5091, 5090])).
% 6.53/4.64 tff(5093,plain,
% 6.53/4.64 (v104(constB14) <=> v1(constB13)),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5092, 3448, 3980])).
% 6.53/4.64 tff(5094,plain,
% 6.53/4.64 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14)) | v1(constB13)),
% 6.53/4.64 inference(tautology,[status(thm)],[])).
% 6.53/4.64 tff(5095,plain,
% 6.53/4.64 ((~(v104(constB14) <=> v1(constB13))) | (~v104(constB14))),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5094, 3487])).
% 6.53/4.64 tff(5096,plain,
% 6.53/4.64 (~v104(constB14)),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5095, 5093])).
% 6.53/4.64 tff(5097,plain,
% 6.53/4.64 ((~((~v102(constB14)) <=> v104(constB14))) | v102(constB14) | v104(constB14)),
% 6.53/4.64 inference(tautology,[status(thm)],[])).
% 6.53/4.64 tff(5098,plain,
% 6.53/4.64 (v102(constB14)),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5097, 5096, 5089])).
% 6.53/4.64 tff(5099,plain,
% 6.53/4.64 (v1(constB14) <=> v1(constB14)),
% 6.53/4.64 inference(rewrite,[status(thm)],[])).
% 6.53/4.64 tff(5100,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14')).
% 6.53/4.64 tff(5101,plain,
% 6.53/4.64 (v1(constB14)),
% 6.53/4.64 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 6.53/4.64 tff(5102,plain,
% 6.53/4.64 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v1(constB14)) | (~v102(constB14))),
% 6.53/4.64 inference(tautology,[status(thm)],[])).
% 6.53/4.64 tff(5103,plain,
% 6.53/4.64 ((~((~v1(constB14)) | (~v102(constB14)))) | (~v102(constB14))),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5102, 5101])).
% 6.53/4.64 tff(5104,plain,
% 6.53/4.64 (~((~v1(constB14)) | (~v102(constB14)))),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5103, 5098])).
% 6.53/4.64 tff(5105,plain,
% 6.53/4.64 ((~(v101(constB14) <=> (~((~v1(constB14)) | (~v102(constB14)))))) | v101(constB14) | ((~v1(constB14)) | (~v102(constB14)))),
% 6.53/4.64 inference(tautology,[status(thm)],[])).
% 6.53/4.64 tff(5106,plain,
% 6.53/4.64 (v101(constB14)),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5105, 5104, 5085])).
% 6.53/4.64 tff(5107,plain,
% 6.53/4.64 (((~![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)))),
% 6.53/4.64 inference(rewrite,[status(thm)],[])).
% 6.53/4.64 tff(5108,plain,
% 6.53/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13)))),
% 6.53/4.64 inference(quant_inst,[status(thm)],[])).
% 6.53/4.64 tff(5109,plain,
% 6.53/4.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB13, constB14)) | (v110(constB14) <=> v108(constB13))),
% 6.53/4.64 inference(modus_ponens,[status(thm)],[5108, 5107])).
% 6.53/4.64 tff(5110,plain,
% 6.53/4.64 (v110(constB14) <=> v108(constB13)),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5109, 3448, 4007])).
% 6.53/4.64 tff(5111,plain,
% 6.53/4.64 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB13) <=> (v111(constB13) | v112(constB13)))),
% 6.53/4.64 inference(quant_inst,[status(thm)],[])).
% 6.53/4.64 tff(5112,plain,
% 6.53/4.64 (v108(constB13) <=> (v111(constB13) | v112(constB13))),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5111, 4018])).
% 6.53/4.64 tff(5113,plain,
% 6.53/4.64 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))),
% 6.53/4.64 inference(quant_inst,[status(thm)],[])).
% 6.53/4.64 tff(5114,plain,
% 6.53/4.64 (v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13))))),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5113, 4030])).
% 6.53/4.64 tff(5115,plain,
% 6.53/4.64 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB13) <=> (v114(constB13) | v125(constB13)))),
% 6.53/4.64 inference(quant_inst,[status(thm)],[])).
% 6.53/4.64 tff(5116,plain,
% 6.53/4.64 (v113(constB13) <=> (v114(constB13) | v125(constB13))),
% 6.53/4.64 inference(unit_resolution,[status(thm)],[5115, 4039])).
% 6.53/4.64 tff(5117,plain,
% 6.53/4.64 (^[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))))))),
% 6.53/4.64 inference(bind,[status(th)],[])).
% 6.53/4.64 tff(5118,plain,
% 6.53/4.64 (![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)))))),
% 6.53/4.64 inference(quant_intro,[status(thm)],[5117])).
% 6.53/4.64 tff(5119,plain,
% 6.53/4.64 (^[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))))))),
% 6.53/4.65 inference(bind,[status(th)],[])).
% 6.53/4.65 tff(5120,plain,
% 6.53/4.65 (![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)))))),
% 6.53/4.65 inference(quant_intro,[status(thm)],[5119])).
% 6.53/4.65 tff(5121,plain,
% 6.53/4.65 (![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))))),
% 6.53/4.65 inference(rewrite,[status(thm)],[])).
% 6.53/4.65 tff(5122,plain,
% 6.53/4.65 (^[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)))))),
% 6.53/4.65 inference(bind,[status(th)],[])).
% 6.53/4.65 tff(5123,plain,
% 6.53/4.65 (![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))))),
% 6.53/4.65 inference(quant_intro,[status(thm)],[5122])).
% 6.53/4.65 tff(5124,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')).
% 6.53/4.65 tff(5125,plain,
% 6.53/4.65 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 6.53/4.65 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 6.53/4.65 tff(5126,plain,
% 6.53/4.65 (![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 6.53/4.65 inference(modus_ponens,[status(thm)],[5125, 5121])).
% 6.53/4.65 tff(5127,plain,(
% 6.53/4.65 ![VarCurr: $i] : (v125(VarCurr) <=> (v90(VarCurr, bitIndex2) & v90(VarCurr, bitIndex1) & (~v90(VarCurr, bitIndex0))))),
% 6.53/4.65 inference(skolemize,[status(sab)],[5126])).
% 6.53/4.65 tff(5128,plain,
% 6.53/4.65 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 6.53/4.65 inference(modus_ponens,[status(thm)],[5127, 5120])).
% 6.53/4.65 tff(5129,plain,
% 6.53/4.65 (![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))),
% 6.53/4.65 inference(modus_ponens,[status(thm)],[5128, 5118])).
% 6.53/4.65 tff(5130,plain,
% 6.53/4.65 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB13) <=> (~(v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)))))),
% 6.53/4.65 inference(quant_inst,[status(thm)],[])).
% 6.53/4.65 tff(5131,plain,
% 6.53/4.65 (v125(constB13) <=> (~(v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2))))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5130, 5129])).
% 6.53/4.65 tff(5132,plain,
% 6.53/4.65 ((((~v90(constB13, bitIndex1)) <=> v90(constB12, bitIndex1)) | ((~v90(constB13, bitIndex2)) <=> v90(constB12, bitIndex2)) | ((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))) | (~((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5133,plain,
% 6.53/4.65 (~((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5132, 3504])).
% 6.53/4.65 tff(5134,plain,
% 6.53/4.65 ((((~v129(constB12, bitIndex2)) <=> v127(constB11, bitIndex2)) | ((~v129(constB12, bitIndex1)) <=> v127(constB11, bitIndex1)) | ((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0))) | (~((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5135,plain,
% 6.53/4.65 (~((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5134, 3513])).
% 6.53/4.65 tff(5136,plain,
% 6.53/4.65 ((((~v127(constB11, bitIndex2)) <=> v130(constB11, bitIndex2)) | ((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)) | ((~v127(constB11, bitIndex1)) <=> v130(constB11, bitIndex1))) | (~((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5137,plain,
% 6.53/4.65 (~((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5136, 3527])).
% 6.53/4.65 tff(5138,plain,
% 6.53/4.65 ((v130(constB11, bitIndex0) | (~v130(constB11, bitIndex2)) | (~v130(constB11, bitIndex1))) | (~v130(constB11, bitIndex0))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5139,plain,
% 6.53/4.65 (~v130(constB11, bitIndex0)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5138, 4883])).
% 6.53/4.65 tff(5140,plain,
% 6.53/4.65 (((~v127(constB11, bitIndex0)) <=> v130(constB11, bitIndex0)) | (~v127(constB11, bitIndex0)) | v130(constB11, bitIndex0)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5141,plain,
% 6.53/4.65 (~v127(constB11, bitIndex0)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5140, 5139, 5137])).
% 6.53/4.65 tff(5142,plain,
% 6.53/4.65 (((~v129(constB12, bitIndex0)) <=> v127(constB11, bitIndex0)) | (~v129(constB12, bitIndex0)) | v127(constB11, bitIndex0)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5143,plain,
% 6.53/4.65 (~v129(constB12, bitIndex0)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5142, 5141, 5135])).
% 6.53/4.65 tff(5144,plain,
% 6.53/4.65 ((((~v90(constB12, bitIndex2)) <=> v129(constB12, bitIndex2)) | ((~v90(constB12, bitIndex1)) <=> v129(constB12, bitIndex1)) | ((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0))) | (~((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5145,plain,
% 6.53/4.65 (~((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5144, 4966])).
% 6.53/4.65 tff(5146,plain,
% 6.53/4.65 (((~v90(constB12, bitIndex0)) <=> v129(constB12, bitIndex0)) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5147,plain,
% 6.53/4.65 (~v90(constB12, bitIndex0)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5146, 5145, 5143])).
% 6.53/4.65 tff(5148,plain,
% 6.53/4.65 (((~v90(constB13, bitIndex0)) <=> v90(constB12, bitIndex0)) | (~v90(constB13, bitIndex0)) | v90(constB12, bitIndex0)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5149,plain,
% 6.53/4.65 (~v90(constB13, bitIndex0)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5148, 5147, 5133])).
% 6.53/4.65 tff(5150,plain,
% 6.53/4.65 ((~(v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)))) | v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5151,plain,
% 6.53/4.65 (~(v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5150, 5001, 5149, 4972])).
% 6.53/4.65 tff(5152,plain,
% 6.53/4.65 ((~(v125(constB13) <=> (~(v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)))))) | v125(constB13) | (v90(constB13, bitIndex0) | (~v90(constB13, bitIndex1)) | (~v90(constB13, bitIndex2)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5153,plain,
% 6.53/4.65 (v125(constB13)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5152, 5151, 5131])).
% 6.53/4.65 tff(5154,plain,
% 6.53/4.65 ((v114(constB13) | v125(constB13)) | (~v125(constB13))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5155,plain,
% 6.53/4.65 (v114(constB13) | v125(constB13)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5154, 5153])).
% 6.53/4.65 tff(5156,plain,
% 6.53/4.65 ((~(v113(constB13) <=> (v114(constB13) | v125(constB13)))) | v113(constB13) | (~(v114(constB13) | v125(constB13)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5157,plain,
% 6.53/4.65 (v113(constB13)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5156, 5155, 5116])).
% 6.53/4.65 tff(5158,plain,
% 6.53/4.65 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB13)) <=> v111(constB13))),
% 6.53/4.65 inference(quant_inst,[status(thm)],[])).
% 6.53/4.65 tff(5159,plain,
% 6.53/4.65 ((~v126(constB13)) <=> v111(constB13)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5158, 4118])).
% 6.53/4.65 tff(5160,plain,
% 6.53/4.65 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13) | v111(constB13)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5161,plain,
% 6.53/4.65 ((~((~v126(constB13)) <=> v111(constB13))) | v126(constB13)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5160, 3461])).
% 6.53/4.65 tff(5162,plain,
% 6.53/4.65 (v126(constB13)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5161, 5159])).
% 6.53/4.65 tff(5163,plain,
% 6.53/4.65 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13)) | (~v126(constB13))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5164,plain,
% 6.53/4.65 ((~((~v113(constB13)) | (~v126(constB13)))) | (~v113(constB13))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5163, 5162])).
% 6.53/4.65 tff(5165,plain,
% 6.53/4.65 (~((~v113(constB13)) | (~v126(constB13)))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5164, 5157])).
% 6.53/4.65 tff(5166,plain,
% 6.53/4.65 ((~(v112(constB13) <=> (~((~v113(constB13)) | (~v126(constB13)))))) | v112(constB13) | ((~v113(constB13)) | (~v126(constB13)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5167,plain,
% 6.53/4.65 (v112(constB13)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5166, 5165, 5114])).
% 6.53/4.65 tff(5168,plain,
% 6.53/4.65 ((v111(constB13) | v112(constB13)) | (~v112(constB13))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5169,plain,
% 6.53/4.65 (v111(constB13) | v112(constB13)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5168, 5167])).
% 6.53/4.65 tff(5170,plain,
% 6.53/4.65 ((~(v108(constB13) <=> (v111(constB13) | v112(constB13)))) | v108(constB13) | (~(v111(constB13) | v112(constB13)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5171,plain,
% 6.53/4.65 (v108(constB13)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5170, 5169, 5112])).
% 6.53/4.65 tff(5172,plain,
% 6.53/4.65 ((~(v110(constB14) <=> v108(constB13))) | v110(constB14) | (~v108(constB13))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5173,plain,
% 6.53/4.65 (v110(constB14)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5172, 5171, 5110])).
% 6.53/4.65 tff(5174,plain,
% 6.53/4.65 ((~((~v101(constB14)) | (~v110(constB14)))) | (~v101(constB14)) | (~v110(constB14))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5175,plain,
% 6.53/4.65 (~((~v101(constB14)) | (~v110(constB14)))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5174, 5173, 5106])).
% 6.53/4.65 tff(5176,plain,
% 6.53/4.65 ((~(v100(constB14) <=> (~((~v101(constB14)) | (~v110(constB14)))))) | v100(constB14) | ((~v101(constB14)) | (~v110(constB14)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5177,plain,
% 6.53/4.65 (v100(constB14)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5176, 5175, 5078])).
% 6.53/4.65 tff(5178,plain,
% 6.53/4.65 (((~![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)))))),
% 6.53/4.65 inference(rewrite,[status(thm)],[])).
% 6.53/4.65 tff(5179,plain,
% 6.53/4.65 (((~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)))))),
% 6.53/4.65 inference(rewrite,[status(thm)],[])).
% 6.53/4.65 tff(5180,plain,
% 6.53/4.65 (((~![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))))))),
% 6.53/4.65 inference(monotonicity,[status(thm)],[5179])).
% 6.53/4.65 tff(5181,plain,
% 6.53/4.65 (((~![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)))))),
% 6.53/4.65 inference(transitivity,[status(thm)],[5180, 5178])).
% 6.53/4.65 tff(5182,plain,
% 6.53/4.65 ((~![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)))))),
% 6.53/4.65 inference(quant_inst,[status(thm)],[])).
% 6.53/4.65 tff(5183,plain,
% 6.53/4.65 ((~![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))))),
% 6.53/4.65 inference(modus_ponens,[status(thm)],[5182, 5181])).
% 6.53/4.65 tff(5184,plain,
% 6.53/4.65 ((~v100(constB14)) | (~(((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5183, 4151])).
% 6.53/4.65 tff(5185,plain,
% 6.53/4.65 (~(((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5184, 5177])).
% 6.53/4.65 tff(5186,plain,
% 6.53/4.65 ((((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))) | (~((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5187,plain,
% 6.53/4.65 (~((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5186, 5185])).
% 6.53/4.65 tff(5188,plain,
% 6.53/4.65 (((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5189,plain,
% 6.53/4.65 (~v90(constB14, bitIndex2)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5188, 5187, 5074])).
% 6.53/4.65 tff(5190,plain,
% 6.53/4.65 (((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | (~v90(constB15, bitIndex2)) | v90(constB14, bitIndex2)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5191,plain,
% 6.53/4.65 (~v90(constB15, bitIndex2)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5190, 5189, 3445])).
% 6.53/4.65 tff(5192,plain,
% 6.53/4.65 ((((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))) | (~((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5193,plain,
% 6.53/4.65 (~((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5192, 3443])).
% 6.53/4.65 tff(5194,plain,
% 6.53/4.65 ((((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0))) | (~((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5195,plain,
% 6.53/4.65 (~((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5194, 3452])).
% 6.53/4.65 tff(5196,plain,
% 6.53/4.65 ((((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1))) | (~((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5197,plain,
% 6.53/4.65 (~((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5196, 3466])).
% 6.53/4.65 tff(5198,plain,
% 6.53/4.65 ((v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0))) | v130(constB13, bitIndex0)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5199,plain,
% 6.53/4.65 (v130(constB13, bitIndex0)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5198, 5068])).
% 6.53/4.65 tff(5200,plain,
% 6.53/4.65 (((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)) | v127(constB13, bitIndex0) | (~v130(constB13, bitIndex0))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5201,plain,
% 6.53/4.65 (v127(constB13, bitIndex0)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5200, 5199, 5197])).
% 6.53/4.65 tff(5202,plain,
% 6.53/4.65 (((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0)) | v129(constB14, bitIndex0) | (~v127(constB13, bitIndex0))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5203,plain,
% 6.53/4.65 (v129(constB14, bitIndex0)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5202, 5201, 5195])).
% 6.53/4.65 tff(5204,plain,
% 6.53/4.65 ((((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))) | (~((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5205,plain,
% 6.53/4.65 (~((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5204, 5185])).
% 6.53/4.65 tff(5206,plain,
% 6.53/4.65 (((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | v90(constB14, bitIndex0) | (~v129(constB14, bitIndex0))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5207,plain,
% 6.53/4.65 (v90(constB14, bitIndex0)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5206, 5205, 5203])).
% 6.53/4.65 tff(5208,plain,
% 6.53/4.65 (((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0)) | v90(constB15, bitIndex0) | (~v90(constB14, bitIndex0))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5209,plain,
% 6.53/4.65 (v90(constB15, bitIndex0)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5208, 5207, 5193])).
% 6.53/4.65 tff(5210,plain,
% 6.53/4.65 ((((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | ((~v90(constB15, bitIndex2)) <=> v90(constB14, bitIndex2)) | ((~v90(constB15, bitIndex0)) <=> v90(constB14, bitIndex0))) | (~((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5211,plain,
% 6.53/4.65 (~((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5210, 3443])).
% 6.53/4.65 tff(5212,plain,
% 6.53/4.65 ((((~v129(constB14, bitIndex2)) <=> v127(constB13, bitIndex2)) | ((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | ((~v129(constB14, bitIndex0)) <=> v127(constB13, bitIndex0))) | (~((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5213,plain,
% 6.53/4.65 (~((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5212, 3452])).
% 6.53/4.65 tff(5214,plain,
% 6.53/4.65 ((((~v127(constB13, bitIndex2)) <=> v130(constB13, bitIndex2)) | ((~v127(constB13, bitIndex0)) <=> v130(constB13, bitIndex0)) | ((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1))) | (~((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5215,plain,
% 6.53/4.65 (~((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5214, 3466])).
% 6.53/4.65 tff(5216,plain,
% 6.53/4.65 ((v130(constB13, bitIndex2) | v130(constB13, bitIndex1) | (~v130(constB13, bitIndex0))) | (~v130(constB13, bitIndex1))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5217,plain,
% 6.53/4.65 (~v130(constB13, bitIndex1)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5216, 5068])).
% 6.53/4.65 tff(5218,plain,
% 6.53/4.65 (((~v127(constB13, bitIndex1)) <=> v130(constB13, bitIndex1)) | (~v127(constB13, bitIndex1)) | v130(constB13, bitIndex1)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5219,plain,
% 6.53/4.65 (~v127(constB13, bitIndex1)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5218, 5217, 5215])).
% 6.53/4.65 tff(5220,plain,
% 6.53/4.65 (((~v129(constB14, bitIndex1)) <=> v127(constB13, bitIndex1)) | (~v129(constB14, bitIndex1)) | v127(constB13, bitIndex1)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5221,plain,
% 6.53/4.65 (~v129(constB14, bitIndex1)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5220, 5219, 5213])).
% 6.53/4.65 tff(5222,plain,
% 6.53/4.65 ((((~v90(constB14, bitIndex0)) <=> v129(constB14, bitIndex0)) | ((~v90(constB14, bitIndex2)) <=> v129(constB14, bitIndex2)) | ((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))) | (~((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5223,plain,
% 6.53/4.65 (~((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5222, 5185])).
% 6.53/4.65 tff(5224,plain,
% 6.53/4.65 (((~v90(constB14, bitIndex1)) <=> v129(constB14, bitIndex1)) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5225,plain,
% 6.53/4.65 (~v90(constB14, bitIndex1)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5224, 5223, 5221])).
% 6.53/4.65 tff(5226,plain,
% 6.53/4.65 (((~v90(constB15, bitIndex1)) <=> v90(constB14, bitIndex1)) | (~v90(constB15, bitIndex1)) | v90(constB14, bitIndex1)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5227,plain,
% 6.53/4.65 (~v90(constB15, bitIndex1)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5226, 5225, 5211])).
% 6.53/4.65 tff(5228,plain,
% 6.53/4.65 ((~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))) | v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5229,plain,
% 6.53/4.65 (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5228, 5227, 5209, 5191])).
% 6.53/4.65 tff(5230,plain,
% 6.53/4.65 ((~(v120(constB15) <=> (~(v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))))) | v120(constB15) | (v90(constB15, bitIndex1) | v90(constB15, bitIndex2) | (~v90(constB15, bitIndex0)))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5231,plain,
% 6.53/4.65 (v120(constB15)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5230, 5229, 3409])).
% 6.53/4.65 tff(5232,plain,
% 6.53/4.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB15)) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex0) | (~v130(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB15)) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex0) | (~v130(constB15, bitIndex1)))))),
% 6.53/4.65 inference(rewrite,[status(thm)],[])).
% 6.53/4.65 tff(5233,plain,
% 6.53/4.65 (((~v120(constB15)) | (~(v130(constB15, bitIndex0) | v130(constB15, bitIndex2) | (~v130(constB15, bitIndex1))))) <=> ((~v120(constB15)) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex0) | (~v130(constB15, bitIndex1)))))),
% 6.53/4.65 inference(rewrite,[status(thm)],[])).
% 6.53/4.65 tff(5234,plain,
% 6.53/4.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB15)) | (~(v130(constB15, bitIndex0) | v130(constB15, bitIndex2) | (~v130(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB15)) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex0) | (~v130(constB15, bitIndex1))))))),
% 6.53/4.65 inference(monotonicity,[status(thm)],[5233])).
% 6.53/4.65 tff(5235,plain,
% 6.53/4.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB15)) | (~(v130(constB15, bitIndex0) | v130(constB15, bitIndex2) | (~v130(constB15, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB15)) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex0) | (~v130(constB15, bitIndex1)))))),
% 6.53/4.65 inference(transitivity,[status(thm)],[5234, 5232])).
% 6.53/4.65 tff(5236,plain,
% 6.53/4.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB15)) | (~(v130(constB15, bitIndex0) | v130(constB15, bitIndex2) | (~v130(constB15, bitIndex1)))))),
% 6.53/4.65 inference(quant_inst,[status(thm)],[])).
% 6.53/4.65 tff(5237,plain,
% 6.53/4.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB15)) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex0) | (~v130(constB15, bitIndex1))))),
% 6.53/4.65 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 6.53/4.65 tff(5238,plain,
% 6.53/4.65 ((~v120(constB15)) | (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex0) | (~v130(constB15, bitIndex1))))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5237, 4218])).
% 6.53/4.65 tff(5239,plain,
% 6.53/4.65 (~(v130(constB15, bitIndex2) | v130(constB15, bitIndex0) | (~v130(constB15, bitIndex1)))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5238, 5231])).
% 6.53/4.65 tff(5240,plain,
% 6.53/4.65 ((v130(constB15, bitIndex2) | v130(constB15, bitIndex0) | (~v130(constB15, bitIndex1))) | (~v130(constB15, bitIndex2))),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5241,plain,
% 6.53/4.65 (~v130(constB15, bitIndex2)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5240, 5239])).
% 6.53/4.65 tff(5242,plain,
% 6.53/4.65 (((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | (~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5243,plain,
% 6.53/4.65 (~v127(constB15, bitIndex2)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5242, 5241, 3407])).
% 6.53/4.65 tff(5244,plain,
% 6.53/4.65 (((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | (~v129(constB16, bitIndex2)) | v127(constB15, bitIndex2)),
% 6.53/4.65 inference(tautology,[status(thm)],[])).
% 6.53/4.65 tff(5245,plain,
% 6.53/4.65 (~v129(constB16, bitIndex2)),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5244, 5243, 3393])).
% 6.53/4.65 tff(5246,plain,
% 6.53/4.65 (((~![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))))))),
% 6.53/4.65 inference(rewrite,[status(thm)],[])).
% 6.53/4.65 tff(5247,plain,
% 6.53/4.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))))),
% 6.53/4.65 inference(quant_inst,[status(thm)],[])).
% 6.53/4.65 tff(5248,plain,
% 6.53/4.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB15, constB16)) | (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))),
% 6.53/4.65 inference(modus_ponens,[status(thm)],[5247, 5246])).
% 6.53/4.65 tff(5249,plain,
% 6.53/4.65 (v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16))))),
% 6.53/4.65 inference(unit_resolution,[status(thm)],[5248, 3387, 433])).
% 6.53/4.65 tff(5250,plain,
% 6.53/4.65 (((~![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))))))),
% 6.53/4.65 inference(rewrite,[status(thm)],[])).
% 6.53/4.65 tff(5251,plain,
% 6.53/4.65 (((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16)))))) <=> ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))))),
% 6.53/4.65 inference(rewrite,[status(thm)],[])).
% 6.53/4.65 tff(5252,plain,
% 6.53/4.65 (((~![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)))))))),
% 6.53/4.65 inference(monotonicity,[status(thm)],[5251])).
% 6.53/4.65 tff(5253,plain,
% 6.53/4.65 (((~![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))))))),
% 6.53/4.66 inference(transitivity,[status(thm)],[5252, 5250])).
% 6.53/4.66 tff(5254,plain,
% 6.53/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v102(constB16)) | (~v1(constB16))))))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5255,plain,
% 6.53/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))),
% 6.53/4.66 inference(modus_ponens,[status(thm)],[5254, 5253])).
% 6.53/4.66 tff(5256,plain,
% 6.53/4.66 (v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16))))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5255, 3387, 453])).
% 6.53/4.66 tff(5257,plain,
% 6.53/4.66 (((~![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)))),
% 6.53/4.66 inference(rewrite,[status(thm)],[])).
% 6.53/4.66 tff(5258,plain,
% 6.53/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16)))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5259,plain,
% 6.53/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB15, constB16)) | ((~v102(constB16)) <=> v104(constB16))),
% 6.53/4.66 inference(modus_ponens,[status(thm)],[5258, 5257])).
% 6.53/4.66 tff(5260,plain,
% 6.53/4.66 ((~v102(constB16)) <=> v104(constB16)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5259, 3387, 3966])).
% 6.53/4.66 tff(5261,plain,
% 6.53/4.66 (((~![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)))),
% 6.53/4.66 inference(rewrite,[status(thm)],[])).
% 6.53/4.66 tff(5262,plain,
% 6.53/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15)))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5263,plain,
% 6.53/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v1(constB15))),
% 6.53/4.66 inference(modus_ponens,[status(thm)],[5262, 5261])).
% 6.53/4.66 tff(5264,plain,
% 6.53/4.66 (v104(constB16) <=> v1(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5263, 3387, 3980])).
% 6.53/4.66 tff(5265,plain,
% 6.53/4.66 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16)) | v1(constB15)),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5266,plain,
% 6.53/4.66 ((~(v104(constB16) <=> v1(constB15))) | (~v104(constB16))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5265, 3426])).
% 6.53/4.66 tff(5267,plain,
% 6.53/4.66 (~v104(constB16)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5266, 5264])).
% 6.53/4.66 tff(5268,plain,
% 6.53/4.66 ((~((~v102(constB16)) <=> v104(constB16))) | v102(constB16) | v104(constB16)),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5269,plain,
% 6.53/4.66 (v102(constB16)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5268, 5267, 5260])).
% 6.53/4.66 tff(5270,plain,
% 6.53/4.66 (v1(constB16) <=> v1(constB16)),
% 6.53/4.66 inference(rewrite,[status(thm)],[])).
% 6.53/4.66 tff(5271,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16')).
% 6.53/4.66 tff(5272,plain,
% 6.53/4.66 (v1(constB16)),
% 6.53/4.66 inference(modus_ponens,[status(thm)],[5271, 5270])).
% 6.53/4.66 tff(5273,plain,
% 6.53/4.66 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v1(constB16)) | (~v102(constB16))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5274,plain,
% 6.53/4.66 ((~((~v1(constB16)) | (~v102(constB16)))) | (~v102(constB16))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5273, 5272])).
% 6.53/4.66 tff(5275,plain,
% 6.53/4.66 (~((~v1(constB16)) | (~v102(constB16)))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5274, 5269])).
% 6.53/4.66 tff(5276,plain,
% 6.53/4.66 ((~(v101(constB16) <=> (~((~v1(constB16)) | (~v102(constB16)))))) | v101(constB16) | ((~v1(constB16)) | (~v102(constB16)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5277,plain,
% 6.53/4.66 (v101(constB16)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5276, 5275, 5256])).
% 6.53/4.66 tff(5278,plain,
% 6.53/4.66 (((~![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)))),
% 6.53/4.66 inference(rewrite,[status(thm)],[])).
% 6.53/4.66 tff(5279,plain,
% 6.53/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15)))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5280,plain,
% 6.53/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB15, constB16)) | (v110(constB16) <=> v108(constB15))),
% 6.53/4.66 inference(modus_ponens,[status(thm)],[5279, 5278])).
% 6.53/4.66 tff(5281,plain,
% 6.53/4.66 (v110(constB16) <=> v108(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5280, 3387, 4007])).
% 6.53/4.66 tff(5282,plain,
% 6.53/4.66 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB15) <=> (v111(constB15) | v112(constB15)))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5283,plain,
% 6.53/4.66 (v108(constB15) <=> (v111(constB15) | v112(constB15))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5282, 4018])).
% 6.53/4.66 tff(5284,plain,
% 6.53/4.66 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5285,plain,
% 6.53/4.66 (v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15))))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5284, 4030])).
% 6.53/4.66 tff(5286,plain,
% 6.53/4.66 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB15) <=> (v114(constB15) | v125(constB15)))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5287,plain,
% 6.53/4.66 (v113(constB15) <=> (v114(constB15) | v125(constB15))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5286, 4039])).
% 6.53/4.66 tff(5288,plain,
% 6.53/4.66 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB15) <=> (v115(constB15) | v124(constB15)))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5289,plain,
% 6.53/4.66 (v114(constB15) <=> (v115(constB15) | v124(constB15))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5288, 4048])).
% 6.53/4.66 tff(5290,plain,
% 6.53/4.66 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB15) <=> (v116(constB15) | v123(constB15)))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5291,plain,
% 6.53/4.66 (v115(constB15) <=> (v116(constB15) | v123(constB15))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5290, 4057])).
% 6.53/4.66 tff(5292,plain,
% 6.53/4.66 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB15) <=> (v117(constB15) | v122(constB15)))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5293,plain,
% 6.53/4.66 (v116(constB15) <=> (v117(constB15) | v122(constB15))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5292, 4066])).
% 6.53/4.66 tff(5294,plain,
% 6.53/4.66 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB15) <=> (v118(constB15) | v121(constB15)))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5295,plain,
% 6.53/4.66 (v117(constB15) <=> (v118(constB15) | v121(constB15))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5294, 4075])).
% 6.53/4.66 tff(5296,plain,
% 6.53/4.66 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB15) <=> (v119(constB15) | v120(constB15)))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5297,plain,
% 6.53/4.66 (v118(constB15) <=> (v119(constB15) | v120(constB15))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5296, 4084])).
% 6.53/4.66 tff(5298,plain,
% 6.53/4.66 ((v119(constB15) | v120(constB15)) | (~v120(constB15))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5299,plain,
% 6.53/4.66 (v119(constB15) | v120(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5298, 5231])).
% 6.53/4.66 tff(5300,plain,
% 6.53/4.66 ((~(v118(constB15) <=> (v119(constB15) | v120(constB15)))) | v118(constB15) | (~(v119(constB15) | v120(constB15)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5301,plain,
% 6.53/4.66 (v118(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5300, 5299, 5297])).
% 6.53/4.66 tff(5302,plain,
% 6.53/4.66 ((v118(constB15) | v121(constB15)) | (~v118(constB15))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5303,plain,
% 6.53/4.66 (v118(constB15) | v121(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5302, 5301])).
% 6.53/4.66 tff(5304,plain,
% 6.53/4.66 ((~(v117(constB15) <=> (v118(constB15) | v121(constB15)))) | v117(constB15) | (~(v118(constB15) | v121(constB15)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5305,plain,
% 6.53/4.66 (v117(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5304, 5303, 5295])).
% 6.53/4.66 tff(5306,plain,
% 6.53/4.66 ((v117(constB15) | v122(constB15)) | (~v117(constB15))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5307,plain,
% 6.53/4.66 (v117(constB15) | v122(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5306, 5305])).
% 6.53/4.66 tff(5308,plain,
% 6.53/4.66 ((~(v116(constB15) <=> (v117(constB15) | v122(constB15)))) | v116(constB15) | (~(v117(constB15) | v122(constB15)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5309,plain,
% 6.53/4.66 (v116(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5308, 5307, 5293])).
% 6.53/4.66 tff(5310,plain,
% 6.53/4.66 ((v116(constB15) | v123(constB15)) | (~v116(constB15))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5311,plain,
% 6.53/4.66 (v116(constB15) | v123(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5310, 5309])).
% 6.53/4.66 tff(5312,plain,
% 6.53/4.66 ((~(v115(constB15) <=> (v116(constB15) | v123(constB15)))) | v115(constB15) | (~(v116(constB15) | v123(constB15)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5313,plain,
% 6.53/4.66 (v115(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5312, 5311, 5291])).
% 6.53/4.66 tff(5314,plain,
% 6.53/4.66 ((v115(constB15) | v124(constB15)) | (~v115(constB15))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5315,plain,
% 6.53/4.66 (v115(constB15) | v124(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5314, 5313])).
% 6.53/4.66 tff(5316,plain,
% 6.53/4.66 ((~(v114(constB15) <=> (v115(constB15) | v124(constB15)))) | v114(constB15) | (~(v115(constB15) | v124(constB15)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5317,plain,
% 6.53/4.66 (v114(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5316, 5315, 5289])).
% 6.53/4.66 tff(5318,plain,
% 6.53/4.66 ((v114(constB15) | v125(constB15)) | (~v114(constB15))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5319,plain,
% 6.53/4.66 (v114(constB15) | v125(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5318, 5317])).
% 6.53/4.66 tff(5320,plain,
% 6.53/4.66 ((~(v113(constB15) <=> (v114(constB15) | v125(constB15)))) | v113(constB15) | (~(v114(constB15) | v125(constB15)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5321,plain,
% 6.53/4.66 (v113(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5320, 5319, 5287])).
% 6.53/4.66 tff(5322,plain,
% 6.53/4.66 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB15)) <=> v111(constB15))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5323,plain,
% 6.53/4.66 ((~v126(constB15)) <=> v111(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5322, 4118])).
% 6.53/4.66 tff(5324,plain,
% 6.53/4.66 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15) | v111(constB15)),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5325,plain,
% 6.53/4.66 ((~((~v126(constB15)) <=> v111(constB15))) | v126(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5324, 3400])).
% 6.53/4.66 tff(5326,plain,
% 6.53/4.66 (v126(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5325, 5323])).
% 6.53/4.66 tff(5327,plain,
% 6.53/4.66 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15)) | (~v126(constB15))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5328,plain,
% 6.53/4.66 ((~((~v113(constB15)) | (~v126(constB15)))) | (~v113(constB15))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5327, 5326])).
% 6.53/4.66 tff(5329,plain,
% 6.53/4.66 (~((~v113(constB15)) | (~v126(constB15)))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5328, 5321])).
% 6.53/4.66 tff(5330,plain,
% 6.53/4.66 ((~(v112(constB15) <=> (~((~v113(constB15)) | (~v126(constB15)))))) | v112(constB15) | ((~v113(constB15)) | (~v126(constB15)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5331,plain,
% 6.53/4.66 (v112(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5330, 5329, 5285])).
% 6.53/4.66 tff(5332,plain,
% 6.53/4.66 ((v111(constB15) | v112(constB15)) | (~v112(constB15))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5333,plain,
% 6.53/4.66 (v111(constB15) | v112(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5332, 5331])).
% 6.53/4.66 tff(5334,plain,
% 6.53/4.66 ((~(v108(constB15) <=> (v111(constB15) | v112(constB15)))) | v108(constB15) | (~(v111(constB15) | v112(constB15)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5335,plain,
% 6.53/4.66 (v108(constB15)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5334, 5333, 5283])).
% 6.53/4.66 tff(5336,plain,
% 6.53/4.66 ((~(v110(constB16) <=> v108(constB15))) | v110(constB16) | (~v108(constB15))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5337,plain,
% 6.53/4.66 (v110(constB16)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5336, 5335, 5281])).
% 6.53/4.66 tff(5338,plain,
% 6.53/4.66 ((~((~v101(constB16)) | (~v110(constB16)))) | (~v101(constB16)) | (~v110(constB16))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5339,plain,
% 6.53/4.66 (~((~v101(constB16)) | (~v110(constB16)))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5338, 5337, 5277])).
% 6.53/4.66 tff(5340,plain,
% 6.53/4.66 ((~(v100(constB16) <=> (~((~v101(constB16)) | (~v110(constB16)))))) | v100(constB16) | ((~v101(constB16)) | (~v110(constB16)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5341,plain,
% 6.53/4.66 (v100(constB16)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5340, 5339, 5249])).
% 6.53/4.66 tff(5342,plain,
% 6.53/4.66 (((~![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)))))),
% 6.53/4.66 inference(rewrite,[status(thm)],[])).
% 6.53/4.66 tff(5343,plain,
% 6.53/4.66 ((~![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)))))),
% 6.53/4.66 inference(quant_inst,[status(thm)],[])).
% 6.53/4.66 tff(5344,plain,
% 6.53/4.66 ((~![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))))),
% 6.53/4.66 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 6.53/4.66 tff(5345,plain,
% 6.53/4.66 ((~v100(constB16)) | (~(((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0))))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5344, 4151])).
% 6.53/4.66 tff(5346,plain,
% 6.53/4.66 (~(((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0)))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5345, 5341])).
% 6.53/4.66 tff(5347,plain,
% 6.53/4.66 ((((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0))) | (~((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5348,plain,
% 6.53/4.66 (~((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5347, 5346])).
% 6.53/4.66 tff(5349,plain,
% 6.53/4.66 (((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2)),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5350,plain,
% 6.53/4.66 (~v90(constB16, bitIndex2)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5349, 5348, 5245])).
% 6.53/4.66 tff(5351,plain,
% 6.53/4.66 (((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | (~v90(constB17, bitIndex2)) | v90(constB16, bitIndex2)),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5352,plain,
% 6.53/4.66 (~v90(constB17, bitIndex2)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5351, 5350, 3384])).
% 6.53/4.66 tff(5353,plain,
% 6.53/4.66 ((((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))) | (~((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5354,plain,
% 6.53/4.66 (~((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5353, 3382])).
% 6.53/4.66 tff(5355,plain,
% 6.53/4.66 ((((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0))) | (~((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5356,plain,
% 6.53/4.66 (~((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5355, 3391])).
% 6.53/4.66 tff(5357,plain,
% 6.53/4.66 ((((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1))) | (~((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5358,plain,
% 6.53/4.66 (~((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5357, 3405])).
% 6.53/4.66 tff(5359,plain,
% 6.53/4.66 ((v130(constB15, bitIndex2) | v130(constB15, bitIndex0) | (~v130(constB15, bitIndex1))) | (~v130(constB15, bitIndex0))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5360,plain,
% 6.53/4.66 (~v130(constB15, bitIndex0)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5359, 5239])).
% 6.53/4.66 tff(5361,plain,
% 6.53/4.66 (((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)) | (~v127(constB15, bitIndex0)) | v130(constB15, bitIndex0)),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5362,plain,
% 6.53/4.66 (~v127(constB15, bitIndex0)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5361, 5360, 5358])).
% 6.53/4.66 tff(5363,plain,
% 6.53/4.66 (((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0)) | (~v129(constB16, bitIndex0)) | v127(constB15, bitIndex0)),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5364,plain,
% 6.53/4.66 (~v129(constB16, bitIndex0)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5363, 5362, 5356])).
% 6.53/4.66 tff(5365,plain,
% 6.53/4.66 ((((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0))) | (~((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5366,plain,
% 6.53/4.66 (~((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5365, 5346])).
% 6.53/4.66 tff(5367,plain,
% 6.53/4.66 (((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0)) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0)),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5368,plain,
% 6.53/4.66 (~v90(constB16, bitIndex0)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5367, 5366, 5364])).
% 6.53/4.66 tff(5369,plain,
% 6.53/4.66 (((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0)) | (~v90(constB17, bitIndex0)) | v90(constB16, bitIndex0)),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5370,plain,
% 6.53/4.66 (~v90(constB17, bitIndex0)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5369, 5368, 5354])).
% 6.53/4.66 tff(5371,plain,
% 6.53/4.66 ((((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | ((~v90(constB17, bitIndex2)) <=> v90(constB16, bitIndex2)) | ((~v90(constB17, bitIndex0)) <=> v90(constB16, bitIndex0))) | (~((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5372,plain,
% 6.53/4.66 (~((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5371, 3382])).
% 6.53/4.66 tff(5373,plain,
% 6.53/4.66 ((((~v129(constB16, bitIndex2)) <=> v127(constB15, bitIndex2)) | ((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | ((~v129(constB16, bitIndex0)) <=> v127(constB15, bitIndex0))) | (~((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5374,plain,
% 6.53/4.66 (~((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5373, 3391])).
% 6.53/4.66 tff(5375,plain,
% 6.53/4.66 ((((~v127(constB15, bitIndex2)) <=> v130(constB15, bitIndex2)) | ((~v127(constB15, bitIndex0)) <=> v130(constB15, bitIndex0)) | ((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1))) | (~((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5376,plain,
% 6.53/4.66 (~((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5375, 3405])).
% 6.53/4.66 tff(5377,plain,
% 6.53/4.66 ((v130(constB15, bitIndex2) | v130(constB15, bitIndex0) | (~v130(constB15, bitIndex1))) | v130(constB15, bitIndex1)),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5378,plain,
% 6.53/4.66 (v130(constB15, bitIndex1)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5377, 5239])).
% 6.53/4.66 tff(5379,plain,
% 6.53/4.66 (((~v127(constB15, bitIndex1)) <=> v130(constB15, bitIndex1)) | v127(constB15, bitIndex1) | (~v130(constB15, bitIndex1))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5380,plain,
% 6.53/4.66 (v127(constB15, bitIndex1)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5379, 5378, 5376])).
% 6.53/4.66 tff(5381,plain,
% 6.53/4.66 (((~v129(constB16, bitIndex1)) <=> v127(constB15, bitIndex1)) | v129(constB16, bitIndex1) | (~v127(constB15, bitIndex1))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5382,plain,
% 6.53/4.66 (v129(constB16, bitIndex1)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5381, 5380, 5374])).
% 6.53/4.66 tff(5383,plain,
% 6.53/4.66 ((((~v90(constB16, bitIndex2)) <=> v129(constB16, bitIndex2)) | ((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | ((~v90(constB16, bitIndex0)) <=> v129(constB16, bitIndex0))) | (~((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5384,plain,
% 6.53/4.66 (~((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1))),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5383, 5346])).
% 6.53/4.66 tff(5385,plain,
% 6.53/4.66 (((~v90(constB16, bitIndex1)) <=> v129(constB16, bitIndex1)) | v90(constB16, bitIndex1) | (~v129(constB16, bitIndex1))),
% 6.53/4.66 inference(tautology,[status(thm)],[])).
% 6.53/4.66 tff(5386,plain,
% 6.53/4.66 (v90(constB16, bitIndex1)),
% 6.53/4.66 inference(unit_resolution,[status(thm)],[5385, 5384, 5382])).
% 6.53/4.66 tff(5387,plain,
% 6.53/4.66 (((~v90(constB17, bitIndex1)) <=> v90(constB16, bitIndex1)) | v90(constB17, bitIndex1) | (~v90(constB16, bitIndex1))),
% 6.55/4.66 inference(tautology,[status(thm)],[])).
% 6.55/4.66 tff(5388,plain,
% 6.55/4.66 (v90(constB17, bitIndex1)),
% 6.55/4.66 inference(unit_resolution,[status(thm)],[5387, 5386, 5372])).
% 6.55/4.66 tff(5389,plain,
% 6.55/4.66 ((~(v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)))) | v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1))),
% 6.55/4.66 inference(tautology,[status(thm)],[])).
% 6.55/4.66 tff(5390,plain,
% 6.55/4.66 (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)))),
% 6.55/4.66 inference(unit_resolution,[status(thm)],[5389, 5388, 5370, 5352])).
% 6.55/4.66 tff(5391,plain,
% 6.55/4.66 ((~(v121(constB17) <=> (~(v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)))))) | v121(constB17) | (v90(constB17, bitIndex2) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)))),
% 6.55/4.66 inference(tautology,[status(thm)],[])).
% 6.55/4.66 tff(5392,plain,
% 6.55/4.66 (v121(constB17)),
% 6.55/4.66 inference(unit_resolution,[status(thm)],[5391, 5390, 3348])).
% 6.55/4.66 tff(5393,plain,
% 6.55/4.66 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB17)) | (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex0)) | (~v130(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB17)) | (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex0)) | (~v130(constB17, bitIndex1)))))),
% 6.55/4.66 inference(rewrite,[status(thm)],[])).
% 6.55/4.66 tff(5394,plain,
% 6.55/4.66 (((~v121(constB17)) | (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex1)) | (~v130(constB17, bitIndex0))))) <=> ((~v121(constB17)) | (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex0)) | (~v130(constB17, bitIndex1)))))),
% 6.55/4.66 inference(rewrite,[status(thm)],[])).
% 6.55/4.66 tff(5395,plain,
% 6.55/4.66 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB17)) | (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex1)) | (~v130(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB17)) | (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex0)) | (~v130(constB17, bitIndex1))))))),
% 6.55/4.66 inference(monotonicity,[status(thm)],[5394])).
% 6.55/4.66 tff(5396,plain,
% 6.55/4.66 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB17)) | (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex1)) | (~v130(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB17)) | (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex0)) | (~v130(constB17, bitIndex1)))))),
% 6.55/4.66 inference(transitivity,[status(thm)],[5395, 5393])).
% 6.55/4.66 tff(5397,plain,
% 6.55/4.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB17)) | (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex1)) | (~v130(constB17, bitIndex0)))))),
% 6.55/4.66 inference(quant_inst,[status(thm)],[])).
% 6.55/4.66 tff(5398,plain,
% 6.55/4.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB17)) | (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex0)) | (~v130(constB17, bitIndex1))))),
% 6.55/4.66 inference(modus_ponens,[status(thm)],[5397, 5396])).
% 6.55/4.66 tff(5399,plain,
% 6.55/4.66 ((~v121(constB17)) | (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex0)) | (~v130(constB17, bitIndex1))))),
% 6.55/4.66 inference(unit_resolution,[status(thm)],[5398, 4392])).
% 6.55/4.66 tff(5400,plain,
% 6.55/4.66 (~(v130(constB17, bitIndex2) | (~v130(constB17, bitIndex0)) | (~v130(constB17, bitIndex1)))),
% 6.55/4.66 inference(unit_resolution,[status(thm)],[5399, 5392])).
% 6.55/4.66 tff(5401,plain,
% 6.55/4.66 ((v130(constB17, bitIndex2) | (~v130(constB17, bitIndex0)) | (~v130(constB17, bitIndex1))) | (~v130(constB17, bitIndex2))),
% 6.55/4.66 inference(tautology,[status(thm)],[])).
% 6.55/4.66 tff(5402,plain,
% 6.55/4.66 (~v130(constB17, bitIndex2)),
% 6.55/4.66 inference(unit_resolution,[status(thm)],[5401, 5400])).
% 6.55/4.66 tff(5403,plain,
% 6.55/4.66 (((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | (~v127(constB17, bitIndex2)) | v130(constB17, bitIndex2)),
% 6.55/4.66 inference(tautology,[status(thm)],[])).
% 6.55/4.66 tff(5404,plain,
% 6.55/4.66 (~v127(constB17, bitIndex2)),
% 6.55/4.66 inference(unit_resolution,[status(thm)],[5403, 5402, 3341])).
% 6.55/4.66 tff(5405,plain,
% 6.55/4.66 (((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | (~v129(constB18, bitIndex2)) | v127(constB17, bitIndex2)),
% 6.55/4.66 inference(tautology,[status(thm)],[])).
% 6.55/4.66 tff(5406,plain,
% 6.55/4.66 (~v129(constB18, bitIndex2)),
% 6.55/4.66 inference(unit_resolution,[status(thm)],[5405, 5404, 3327])).
% 6.55/4.66 tff(5407,plain,
% 6.55/4.66 (((~![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))))))),
% 6.55/4.66 inference(rewrite,[status(thm)],[])).
% 6.55/4.66 tff(5408,plain,
% 6.55/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))))),
% 6.55/4.66 inference(quant_inst,[status(thm)],[])).
% 6.55/4.66 tff(5409,plain,
% 6.55/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB17, constB18)) | (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))),
% 6.55/4.66 inference(modus_ponens,[status(thm)],[5408, 5407])).
% 6.55/4.66 tff(5410,plain,
% 6.55/4.66 (v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18))))),
% 6.55/4.66 inference(unit_resolution,[status(thm)],[5409, 3321, 433])).
% 6.55/4.66 tff(5411,plain,
% 6.55/4.66 (((~![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))))))),
% 6.55/4.66 inference(rewrite,[status(thm)],[])).
% 6.55/4.66 tff(5412,plain,
% 6.55/4.66 (((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18)))))) <=> ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))))),
% 6.55/4.66 inference(rewrite,[status(thm)],[])).
% 6.55/4.66 tff(5413,plain,
% 6.55/4.66 (((~![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)))))))),
% 6.55/4.66 inference(monotonicity,[status(thm)],[5412])).
% 6.55/4.66 tff(5414,plain,
% 6.55/4.66 (((~![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))))))),
% 6.55/4.66 inference(transitivity,[status(thm)],[5413, 5411])).
% 6.55/4.66 tff(5415,plain,
% 6.55/4.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v102(constB18)) | (~v1(constB18))))))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5416,plain,
% 6.55/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))),
% 6.55/4.67 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 6.55/4.67 tff(5417,plain,
% 6.55/4.67 (v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18))))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5416, 3321, 453])).
% 6.55/4.67 tff(5418,plain,
% 6.55/4.67 (((~![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)))),
% 6.55/4.67 inference(rewrite,[status(thm)],[])).
% 6.55/4.67 tff(5419,plain,
% 6.55/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18)))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5420,plain,
% 6.55/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB17, constB18)) | ((~v102(constB18)) <=> v104(constB18))),
% 6.55/4.67 inference(modus_ponens,[status(thm)],[5419, 5418])).
% 6.55/4.67 tff(5421,plain,
% 6.55/4.67 ((~v102(constB18)) <=> v104(constB18)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5420, 3321, 3966])).
% 6.55/4.67 tff(5422,plain,
% 6.55/4.67 (((~![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)))),
% 6.55/4.67 inference(rewrite,[status(thm)],[])).
% 6.55/4.67 tff(5423,plain,
% 6.55/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17)))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5424,plain,
% 6.55/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v1(constB17))),
% 6.55/4.67 inference(modus_ponens,[status(thm)],[5423, 5422])).
% 6.55/4.67 tff(5425,plain,
% 6.55/4.67 (v104(constB18) <=> v1(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5424, 3321, 3980])).
% 6.55/4.67 tff(5426,plain,
% 6.55/4.67 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18)) | v1(constB17)),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5427,plain,
% 6.55/4.67 ((~(v104(constB18) <=> v1(constB17))) | (~v104(constB18))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5426, 3365])).
% 6.55/4.67 tff(5428,plain,
% 6.55/4.67 (~v104(constB18)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5427, 5425])).
% 6.55/4.67 tff(5429,plain,
% 6.55/4.67 ((~((~v102(constB18)) <=> v104(constB18))) | v102(constB18) | v104(constB18)),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5430,plain,
% 6.55/4.67 (v102(constB18)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5429, 5428, 5421])).
% 6.55/4.67 tff(5431,plain,
% 6.55/4.67 (v1(constB18) <=> v1(constB18)),
% 6.55/4.67 inference(rewrite,[status(thm)],[])).
% 6.55/4.67 tff(5432,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18')).
% 6.55/4.67 tff(5433,plain,
% 6.55/4.67 (v1(constB18)),
% 6.55/4.67 inference(modus_ponens,[status(thm)],[5432, 5431])).
% 6.55/4.67 tff(5434,plain,
% 6.55/4.67 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v1(constB18)) | (~v102(constB18))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5435,plain,
% 6.55/4.67 ((~((~v1(constB18)) | (~v102(constB18)))) | (~v102(constB18))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5434, 5433])).
% 6.55/4.67 tff(5436,plain,
% 6.55/4.67 (~((~v1(constB18)) | (~v102(constB18)))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5435, 5430])).
% 6.55/4.67 tff(5437,plain,
% 6.55/4.67 ((~(v101(constB18) <=> (~((~v1(constB18)) | (~v102(constB18)))))) | v101(constB18) | ((~v1(constB18)) | (~v102(constB18)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5438,plain,
% 6.55/4.67 (v101(constB18)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5437, 5436, 5417])).
% 6.55/4.67 tff(5439,plain,
% 6.55/4.67 (((~![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)))),
% 6.55/4.67 inference(rewrite,[status(thm)],[])).
% 6.55/4.67 tff(5440,plain,
% 6.55/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17)))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5441,plain,
% 6.55/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB17, constB18)) | (v110(constB18) <=> v108(constB17))),
% 6.55/4.67 inference(modus_ponens,[status(thm)],[5440, 5439])).
% 6.55/4.67 tff(5442,plain,
% 6.55/4.67 (v110(constB18) <=> v108(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5441, 3321, 4007])).
% 6.55/4.67 tff(5443,plain,
% 6.55/4.67 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB17) <=> (v111(constB17) | v112(constB17)))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5444,plain,
% 6.55/4.67 (v108(constB17) <=> (v111(constB17) | v112(constB17))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5443, 4018])).
% 6.55/4.67 tff(5445,plain,
% 6.55/4.67 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5446,plain,
% 6.55/4.67 (v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17))))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5445, 4030])).
% 6.55/4.67 tff(5447,plain,
% 6.55/4.67 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB17) <=> (v114(constB17) | v125(constB17)))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5448,plain,
% 6.55/4.67 (v113(constB17) <=> (v114(constB17) | v125(constB17))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5447, 4039])).
% 6.55/4.67 tff(5449,plain,
% 6.55/4.67 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB17) <=> (v115(constB17) | v124(constB17)))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5450,plain,
% 6.55/4.67 (v114(constB17) <=> (v115(constB17) | v124(constB17))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5449, 4048])).
% 6.55/4.67 tff(5451,plain,
% 6.55/4.67 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB17) <=> (v116(constB17) | v123(constB17)))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5452,plain,
% 6.55/4.67 (v115(constB17) <=> (v116(constB17) | v123(constB17))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5451, 4057])).
% 6.55/4.67 tff(5453,plain,
% 6.55/4.67 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB17) <=> (v117(constB17) | v122(constB17)))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5454,plain,
% 6.55/4.67 (v116(constB17) <=> (v117(constB17) | v122(constB17))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5453, 4066])).
% 6.55/4.67 tff(5455,plain,
% 6.55/4.67 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB17) <=> (v118(constB17) | v121(constB17)))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5456,plain,
% 6.55/4.67 (v117(constB17) <=> (v118(constB17) | v121(constB17))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5455, 4075])).
% 6.55/4.67 tff(5457,plain,
% 6.55/4.67 ((v118(constB17) | v121(constB17)) | (~v121(constB17))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5458,plain,
% 6.55/4.67 (v118(constB17) | v121(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5457, 5392])).
% 6.55/4.67 tff(5459,plain,
% 6.55/4.67 ((~(v117(constB17) <=> (v118(constB17) | v121(constB17)))) | v117(constB17) | (~(v118(constB17) | v121(constB17)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5460,plain,
% 6.55/4.67 (v117(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5459, 5458, 5456])).
% 6.55/4.67 tff(5461,plain,
% 6.55/4.67 ((v117(constB17) | v122(constB17)) | (~v117(constB17))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5462,plain,
% 6.55/4.67 (v117(constB17) | v122(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5461, 5460])).
% 6.55/4.67 tff(5463,plain,
% 6.55/4.67 ((~(v116(constB17) <=> (v117(constB17) | v122(constB17)))) | v116(constB17) | (~(v117(constB17) | v122(constB17)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5464,plain,
% 6.55/4.67 (v116(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5463, 5462, 5454])).
% 6.55/4.67 tff(5465,plain,
% 6.55/4.67 ((v116(constB17) | v123(constB17)) | (~v116(constB17))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5466,plain,
% 6.55/4.67 (v116(constB17) | v123(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5465, 5464])).
% 6.55/4.67 tff(5467,plain,
% 6.55/4.67 ((~(v115(constB17) <=> (v116(constB17) | v123(constB17)))) | v115(constB17) | (~(v116(constB17) | v123(constB17)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5468,plain,
% 6.55/4.67 (v115(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5467, 5466, 5452])).
% 6.55/4.67 tff(5469,plain,
% 6.55/4.67 ((v115(constB17) | v124(constB17)) | (~v115(constB17))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5470,plain,
% 6.55/4.67 (v115(constB17) | v124(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5469, 5468])).
% 6.55/4.67 tff(5471,plain,
% 6.55/4.67 ((~(v114(constB17) <=> (v115(constB17) | v124(constB17)))) | v114(constB17) | (~(v115(constB17) | v124(constB17)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5472,plain,
% 6.55/4.67 (v114(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5471, 5470, 5450])).
% 6.55/4.67 tff(5473,plain,
% 6.55/4.67 ((v114(constB17) | v125(constB17)) | (~v114(constB17))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5474,plain,
% 6.55/4.67 (v114(constB17) | v125(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5473, 5472])).
% 6.55/4.67 tff(5475,plain,
% 6.55/4.67 ((~(v113(constB17) <=> (v114(constB17) | v125(constB17)))) | v113(constB17) | (~(v114(constB17) | v125(constB17)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5476,plain,
% 6.55/4.67 (v113(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5475, 5474, 5448])).
% 6.55/4.67 tff(5477,plain,
% 6.55/4.67 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB17)) <=> v111(constB17))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5478,plain,
% 6.55/4.67 ((~v126(constB17)) <=> v111(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5477, 4118])).
% 6.55/4.67 tff(5479,plain,
% 6.55/4.67 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17) | v111(constB17)),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5480,plain,
% 6.55/4.67 ((~((~v126(constB17)) <=> v111(constB17))) | v126(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5479, 3334])).
% 6.55/4.67 tff(5481,plain,
% 6.55/4.67 (v126(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5480, 5478])).
% 6.55/4.67 tff(5482,plain,
% 6.55/4.67 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17)) | (~v126(constB17))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5483,plain,
% 6.55/4.67 ((~((~v113(constB17)) | (~v126(constB17)))) | (~v113(constB17))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5482, 5481])).
% 6.55/4.67 tff(5484,plain,
% 6.55/4.67 (~((~v113(constB17)) | (~v126(constB17)))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5483, 5476])).
% 6.55/4.67 tff(5485,plain,
% 6.55/4.67 ((~(v112(constB17) <=> (~((~v113(constB17)) | (~v126(constB17)))))) | v112(constB17) | ((~v113(constB17)) | (~v126(constB17)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5486,plain,
% 6.55/4.67 (v112(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5485, 5484, 5446])).
% 6.55/4.67 tff(5487,plain,
% 6.55/4.67 ((v111(constB17) | v112(constB17)) | (~v112(constB17))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5488,plain,
% 6.55/4.67 (v111(constB17) | v112(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5487, 5486])).
% 6.55/4.67 tff(5489,plain,
% 6.55/4.67 ((~(v108(constB17) <=> (v111(constB17) | v112(constB17)))) | v108(constB17) | (~(v111(constB17) | v112(constB17)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5490,plain,
% 6.55/4.67 (v108(constB17)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5489, 5488, 5444])).
% 6.55/4.67 tff(5491,plain,
% 6.55/4.67 ((~(v110(constB18) <=> v108(constB17))) | v110(constB18) | (~v108(constB17))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5492,plain,
% 6.55/4.67 (v110(constB18)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5491, 5490, 5442])).
% 6.55/4.67 tff(5493,plain,
% 6.55/4.67 ((~((~v101(constB18)) | (~v110(constB18)))) | (~v101(constB18)) | (~v110(constB18))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5494,plain,
% 6.55/4.67 (~((~v101(constB18)) | (~v110(constB18)))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5493, 5492, 5438])).
% 6.55/4.67 tff(5495,plain,
% 6.55/4.67 ((~(v100(constB18) <=> (~((~v101(constB18)) | (~v110(constB18)))))) | v100(constB18) | ((~v101(constB18)) | (~v110(constB18)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5496,plain,
% 6.55/4.67 (v100(constB18)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5495, 5494, 5410])).
% 6.55/4.67 tff(5497,plain,
% 6.55/4.67 (((~![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)))))),
% 6.55/4.67 inference(rewrite,[status(thm)],[])).
% 6.55/4.67 tff(5498,plain,
% 6.55/4.67 (((~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)))))),
% 6.55/4.67 inference(rewrite,[status(thm)],[])).
% 6.55/4.67 tff(5499,plain,
% 6.55/4.67 (((~![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))))))),
% 6.55/4.67 inference(monotonicity,[status(thm)],[5498])).
% 6.55/4.67 tff(5500,plain,
% 6.55/4.67 (((~![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)))))),
% 6.55/4.67 inference(transitivity,[status(thm)],[5499, 5497])).
% 6.55/4.67 tff(5501,plain,
% 6.55/4.67 ((~![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)))))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5502,plain,
% 6.55/4.67 ((~![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))))),
% 6.55/4.67 inference(modus_ponens,[status(thm)],[5501, 5500])).
% 6.55/4.67 tff(5503,plain,
% 6.55/4.67 ((~v100(constB18)) | (~(((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5502, 4151])).
% 6.55/4.67 tff(5504,plain,
% 6.55/4.67 (~(((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5503, 5496])).
% 6.55/4.67 tff(5505,plain,
% 6.55/4.67 ((((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))) | (~((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5506,plain,
% 6.55/4.67 (~((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5505, 5504])).
% 6.55/4.67 tff(5507,plain,
% 6.55/4.67 (((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2)),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5508,plain,
% 6.55/4.67 (~v90(constB18, bitIndex2)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5507, 5506, 5406])).
% 6.55/4.67 tff(5509,plain,
% 6.55/4.67 (((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | (~v90(constB19, bitIndex2)) | v90(constB18, bitIndex2)),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5510,plain,
% 6.55/4.67 (~v90(constB19, bitIndex2)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5509, 5508, 3318])).
% 6.55/4.67 tff(5511,plain,
% 6.55/4.67 ((((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))) | (~((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5512,plain,
% 6.55/4.67 (~((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5511, 3316])).
% 6.55/4.67 tff(5513,plain,
% 6.55/4.67 ((((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0))) | (~((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5514,plain,
% 6.55/4.67 (~((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5513, 3325])).
% 6.55/4.67 tff(5515,plain,
% 6.55/4.67 ((((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1))) | (~((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5516,plain,
% 6.55/4.67 (~((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5515, 3339])).
% 6.55/4.67 tff(5517,plain,
% 6.55/4.67 ((v130(constB17, bitIndex2) | (~v130(constB17, bitIndex0)) | (~v130(constB17, bitIndex1))) | v130(constB17, bitIndex0)),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5518,plain,
% 6.55/4.67 (v130(constB17, bitIndex0)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5517, 5400])).
% 6.55/4.67 tff(5519,plain,
% 6.55/4.67 (((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)) | v127(constB17, bitIndex0) | (~v130(constB17, bitIndex0))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5520,plain,
% 6.55/4.67 (v127(constB17, bitIndex0)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5519, 5518, 5516])).
% 6.55/4.67 tff(5521,plain,
% 6.55/4.67 (((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0)) | v129(constB18, bitIndex0) | (~v127(constB17, bitIndex0))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5522,plain,
% 6.55/4.67 (v129(constB18, bitIndex0)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5521, 5520, 5514])).
% 6.55/4.67 tff(5523,plain,
% 6.55/4.67 ((((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))) | (~((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5524,plain,
% 6.55/4.67 (~((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5523, 5504])).
% 6.55/4.67 tff(5525,plain,
% 6.55/4.67 (((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | v90(constB18, bitIndex0) | (~v129(constB18, bitIndex0))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5526,plain,
% 6.55/4.67 (v90(constB18, bitIndex0)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5525, 5524, 5522])).
% 6.55/4.67 tff(5527,plain,
% 6.55/4.67 (((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0)) | v90(constB19, bitIndex0) | (~v90(constB18, bitIndex0))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5528,plain,
% 6.55/4.67 (v90(constB19, bitIndex0)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5527, 5526, 5512])).
% 6.55/4.67 tff(5529,plain,
% 6.55/4.67 ((((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | ((~v90(constB19, bitIndex2)) <=> v90(constB18, bitIndex2)) | ((~v90(constB19, bitIndex0)) <=> v90(constB18, bitIndex0))) | (~((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5530,plain,
% 6.55/4.67 (~((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5529, 3316])).
% 6.55/4.67 tff(5531,plain,
% 6.55/4.67 ((((~v129(constB18, bitIndex2)) <=> v127(constB17, bitIndex2)) | ((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | ((~v129(constB18, bitIndex0)) <=> v127(constB17, bitIndex0))) | (~((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5532,plain,
% 6.55/4.67 (~((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5531, 3325])).
% 6.55/4.67 tff(5533,plain,
% 6.55/4.67 ((((~v127(constB17, bitIndex2)) <=> v130(constB17, bitIndex2)) | ((~v127(constB17, bitIndex0)) <=> v130(constB17, bitIndex0)) | ((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1))) | (~((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5534,plain,
% 6.55/4.67 (~((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5533, 3339])).
% 6.55/4.67 tff(5535,plain,
% 6.55/4.67 ((v130(constB17, bitIndex2) | (~v130(constB17, bitIndex0)) | (~v130(constB17, bitIndex1))) | v130(constB17, bitIndex1)),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5536,plain,
% 6.55/4.67 (v130(constB17, bitIndex1)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5535, 5400])).
% 6.55/4.67 tff(5537,plain,
% 6.55/4.67 (((~v127(constB17, bitIndex1)) <=> v130(constB17, bitIndex1)) | v127(constB17, bitIndex1) | (~v130(constB17, bitIndex1))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5538,plain,
% 6.55/4.67 (v127(constB17, bitIndex1)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5537, 5536, 5534])).
% 6.55/4.67 tff(5539,plain,
% 6.55/4.67 (((~v129(constB18, bitIndex1)) <=> v127(constB17, bitIndex1)) | v129(constB18, bitIndex1) | (~v127(constB17, bitIndex1))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5540,plain,
% 6.55/4.67 (v129(constB18, bitIndex1)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5539, 5538, 5532])).
% 6.55/4.67 tff(5541,plain,
% 6.55/4.67 ((((~v90(constB18, bitIndex0)) <=> v129(constB18, bitIndex0)) | ((~v90(constB18, bitIndex2)) <=> v129(constB18, bitIndex2)) | ((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))) | (~((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5542,plain,
% 6.55/4.67 (~((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5541, 5504])).
% 6.55/4.67 tff(5543,plain,
% 6.55/4.67 (((~v90(constB18, bitIndex1)) <=> v129(constB18, bitIndex1)) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5544,plain,
% 6.55/4.67 (v90(constB18, bitIndex1)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5543, 5542, 5540])).
% 6.55/4.67 tff(5545,plain,
% 6.55/4.67 (((~v90(constB19, bitIndex1)) <=> v90(constB18, bitIndex1)) | v90(constB19, bitIndex1) | (~v90(constB18, bitIndex1))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5546,plain,
% 6.55/4.67 (v90(constB19, bitIndex1)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5545, 5544, 5530])).
% 6.55/4.67 tff(5547,plain,
% 6.55/4.67 ((~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))) | v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5548,plain,
% 6.55/4.67 (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5547, 5546, 5528, 5510])).
% 6.55/4.67 tff(5549,plain,
% 6.55/4.67 ((~(v122(constB19) <=> (~(v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))))) | v122(constB19) | (v90(constB19, bitIndex2) | (~v90(constB19, bitIndex1)) | (~v90(constB19, bitIndex0)))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5550,plain,
% 6.55/4.67 (v122(constB19)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5549, 5548, 3282])).
% 6.55/4.67 tff(5551,plain,
% 6.55/4.67 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB19)) | (~(v130(constB19, bitIndex0) | v130(constB19, bitIndex1) | (~v130(constB19, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB19)) | (~(v130(constB19, bitIndex0) | v130(constB19, bitIndex1) | (~v130(constB19, bitIndex2)))))),
% 6.55/4.67 inference(rewrite,[status(thm)],[])).
% 6.55/4.67 tff(5552,plain,
% 6.55/4.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB19)) | (~(v130(constB19, bitIndex0) | v130(constB19, bitIndex1) | (~v130(constB19, bitIndex2)))))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5553,plain,
% 6.55/4.67 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB19)) | (~(v130(constB19, bitIndex0) | v130(constB19, bitIndex1) | (~v130(constB19, bitIndex2))))),
% 6.55/4.67 inference(modus_ponens,[status(thm)],[5552, 5551])).
% 6.55/4.67 tff(5554,plain,
% 6.55/4.67 ((~v122(constB19)) | (~(v130(constB19, bitIndex0) | v130(constB19, bitIndex1) | (~v130(constB19, bitIndex2))))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5553, 4563])).
% 6.55/4.67 tff(5555,plain,
% 6.55/4.67 (~(v130(constB19, bitIndex0) | v130(constB19, bitIndex1) | (~v130(constB19, bitIndex2)))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5554, 5550])).
% 6.55/4.67 tff(5556,plain,
% 6.55/4.67 ((v130(constB19, bitIndex0) | v130(constB19, bitIndex1) | (~v130(constB19, bitIndex2))) | v130(constB19, bitIndex2)),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5557,plain,
% 6.55/4.67 (v130(constB19, bitIndex2)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5556, 5555])).
% 6.55/4.67 tff(5558,plain,
% 6.55/4.67 (((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | v127(constB19, bitIndex2) | (~v130(constB19, bitIndex2))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5559,plain,
% 6.55/4.67 (v127(constB19, bitIndex2)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5558, 5557, 3275])).
% 6.55/4.67 tff(5560,plain,
% 6.55/4.67 (((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | v129(constB20, bitIndex2) | (~v127(constB19, bitIndex2))),
% 6.55/4.67 inference(tautology,[status(thm)],[])).
% 6.55/4.67 tff(5561,plain,
% 6.55/4.67 (v129(constB20, bitIndex2)),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5560, 5559, 3261])).
% 6.55/4.67 tff(5562,plain,
% 6.55/4.67 (((~![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))))))),
% 6.55/4.67 inference(rewrite,[status(thm)],[])).
% 6.55/4.67 tff(5563,plain,
% 6.55/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5564,plain,
% 6.55/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB19, constB20)) | (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))),
% 6.55/4.67 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 6.55/4.67 tff(5565,plain,
% 6.55/4.67 (v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20))))),
% 6.55/4.67 inference(unit_resolution,[status(thm)],[5564, 3255, 433])).
% 6.55/4.67 tff(5566,plain,
% 6.55/4.67 (((~![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))))))),
% 6.55/4.67 inference(rewrite,[status(thm)],[])).
% 6.55/4.67 tff(5567,plain,
% 6.55/4.67 (((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20)))))) <=> ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))))),
% 6.55/4.67 inference(rewrite,[status(thm)],[])).
% 6.55/4.67 tff(5568,plain,
% 6.55/4.67 (((~![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)))))))),
% 6.55/4.67 inference(monotonicity,[status(thm)],[5567])).
% 6.55/4.67 tff(5569,plain,
% 6.55/4.67 (((~![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))))))),
% 6.55/4.67 inference(transitivity,[status(thm)],[5568, 5566])).
% 6.55/4.67 tff(5570,plain,
% 6.55/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v102(constB20)) | (~v1(constB20))))))),
% 6.55/4.67 inference(quant_inst,[status(thm)],[])).
% 6.55/4.67 tff(5571,plain,
% 6.55/4.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5570, 5569])).
% 6.55/4.68 tff(5572,plain,
% 6.55/4.68 (v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20))))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5571, 3255, 453])).
% 6.55/4.68 tff(5573,plain,
% 6.55/4.68 (((~![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)))),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5574,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5575,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB19, constB20)) | ((~v102(constB20)) <=> v104(constB20))),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 6.55/4.68 tff(5576,plain,
% 6.55/4.68 ((~v102(constB20)) <=> v104(constB20)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5575, 3255, 3966])).
% 6.55/4.68 tff(5577,plain,
% 6.55/4.68 (((~![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)))),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5578,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5579,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v1(constB19))),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5578, 5577])).
% 6.55/4.68 tff(5580,plain,
% 6.55/4.68 (v104(constB20) <=> v1(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5579, 3255, 3980])).
% 6.55/4.68 tff(5581,plain,
% 6.55/4.68 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20)) | v1(constB19)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5582,plain,
% 6.55/4.68 ((~(v104(constB20) <=> v1(constB19))) | (~v104(constB20))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5581, 3299])).
% 6.55/4.68 tff(5583,plain,
% 6.55/4.68 (~v104(constB20)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5582, 5580])).
% 6.55/4.68 tff(5584,plain,
% 6.55/4.68 ((~((~v102(constB20)) <=> v104(constB20))) | v102(constB20) | v104(constB20)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5585,plain,
% 6.55/4.68 (v102(constB20)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5584, 5583, 5576])).
% 6.55/4.68 tff(5586,plain,
% 6.55/4.68 (v1(constB20) <=> v1(constB20)),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5587,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20')).
% 6.55/4.68 tff(5588,plain,
% 6.55/4.68 (v1(constB20)),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5587, 5586])).
% 6.55/4.68 tff(5589,plain,
% 6.55/4.68 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v1(constB20)) | (~v102(constB20))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5590,plain,
% 6.55/4.68 ((~((~v1(constB20)) | (~v102(constB20)))) | (~v102(constB20))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5589, 5588])).
% 6.55/4.68 tff(5591,plain,
% 6.55/4.68 (~((~v1(constB20)) | (~v102(constB20)))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5590, 5585])).
% 6.55/4.68 tff(5592,plain,
% 6.55/4.68 ((~(v101(constB20) <=> (~((~v1(constB20)) | (~v102(constB20)))))) | v101(constB20) | ((~v1(constB20)) | (~v102(constB20)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5593,plain,
% 6.55/4.68 (v101(constB20)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5592, 5591, 5572])).
% 6.55/4.68 tff(5594,plain,
% 6.55/4.68 (((~![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)))),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5595,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5596,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB19, constB20)) | (v110(constB20) <=> v108(constB19))),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5595, 5594])).
% 6.55/4.68 tff(5597,plain,
% 6.55/4.68 (v110(constB20) <=> v108(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5596, 3255, 4007])).
% 6.55/4.68 tff(5598,plain,
% 6.55/4.68 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB19) <=> (v111(constB19) | v112(constB19)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5599,plain,
% 6.55/4.68 (v108(constB19) <=> (v111(constB19) | v112(constB19))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5598, 4018])).
% 6.55/4.68 tff(5600,plain,
% 6.55/4.68 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5601,plain,
% 6.55/4.68 (v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19))))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5600, 4030])).
% 6.55/4.68 tff(5602,plain,
% 6.55/4.68 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB19) <=> (v114(constB19) | v125(constB19)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5603,plain,
% 6.55/4.68 (v113(constB19) <=> (v114(constB19) | v125(constB19))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5602, 4039])).
% 6.55/4.68 tff(5604,plain,
% 6.55/4.68 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB19) <=> (v115(constB19) | v124(constB19)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5605,plain,
% 6.55/4.68 (v114(constB19) <=> (v115(constB19) | v124(constB19))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5604, 4048])).
% 6.55/4.68 tff(5606,plain,
% 6.55/4.68 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB19) <=> (v116(constB19) | v123(constB19)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5607,plain,
% 6.55/4.68 (v115(constB19) <=> (v116(constB19) | v123(constB19))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5606, 4057])).
% 6.55/4.68 tff(5608,plain,
% 6.55/4.68 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB19) <=> (v117(constB19) | v122(constB19)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5609,plain,
% 6.55/4.68 (v116(constB19) <=> (v117(constB19) | v122(constB19))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5608, 4066])).
% 6.55/4.68 tff(5610,plain,
% 6.55/4.68 ((v117(constB19) | v122(constB19)) | (~v122(constB19))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5611,plain,
% 6.55/4.68 (v117(constB19) | v122(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5610, 5550])).
% 6.55/4.68 tff(5612,plain,
% 6.55/4.68 ((~(v116(constB19) <=> (v117(constB19) | v122(constB19)))) | v116(constB19) | (~(v117(constB19) | v122(constB19)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5613,plain,
% 6.55/4.68 (v116(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5612, 5611, 5609])).
% 6.55/4.68 tff(5614,plain,
% 6.55/4.68 ((v116(constB19) | v123(constB19)) | (~v116(constB19))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5615,plain,
% 6.55/4.68 (v116(constB19) | v123(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5614, 5613])).
% 6.55/4.68 tff(5616,plain,
% 6.55/4.68 ((~(v115(constB19) <=> (v116(constB19) | v123(constB19)))) | v115(constB19) | (~(v116(constB19) | v123(constB19)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5617,plain,
% 6.55/4.68 (v115(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5616, 5615, 5607])).
% 6.55/4.68 tff(5618,plain,
% 6.55/4.68 ((v115(constB19) | v124(constB19)) | (~v115(constB19))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5619,plain,
% 6.55/4.68 (v115(constB19) | v124(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5618, 5617])).
% 6.55/4.68 tff(5620,plain,
% 6.55/4.68 ((~(v114(constB19) <=> (v115(constB19) | v124(constB19)))) | v114(constB19) | (~(v115(constB19) | v124(constB19)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5621,plain,
% 6.55/4.68 (v114(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5620, 5619, 5605])).
% 6.55/4.68 tff(5622,plain,
% 6.55/4.68 ((v114(constB19) | v125(constB19)) | (~v114(constB19))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5623,plain,
% 6.55/4.68 (v114(constB19) | v125(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5622, 5621])).
% 6.55/4.68 tff(5624,plain,
% 6.55/4.68 ((~(v113(constB19) <=> (v114(constB19) | v125(constB19)))) | v113(constB19) | (~(v114(constB19) | v125(constB19)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5625,plain,
% 6.55/4.68 (v113(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5624, 5623, 5603])).
% 6.55/4.68 tff(5626,plain,
% 6.55/4.68 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB19)) <=> v111(constB19))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5627,plain,
% 6.55/4.68 ((~v126(constB19)) <=> v111(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5626, 4118])).
% 6.55/4.68 tff(5628,plain,
% 6.55/4.68 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19) | v111(constB19)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5629,plain,
% 6.55/4.68 ((~((~v126(constB19)) <=> v111(constB19))) | v126(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5628, 3268])).
% 6.55/4.68 tff(5630,plain,
% 6.55/4.68 (v126(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5629, 5627])).
% 6.55/4.68 tff(5631,plain,
% 6.55/4.68 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19)) | (~v126(constB19))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5632,plain,
% 6.55/4.68 ((~((~v113(constB19)) | (~v126(constB19)))) | (~v113(constB19))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5631, 5630])).
% 6.55/4.68 tff(5633,plain,
% 6.55/4.68 (~((~v113(constB19)) | (~v126(constB19)))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5632, 5625])).
% 6.55/4.68 tff(5634,plain,
% 6.55/4.68 ((~(v112(constB19) <=> (~((~v113(constB19)) | (~v126(constB19)))))) | v112(constB19) | ((~v113(constB19)) | (~v126(constB19)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5635,plain,
% 6.55/4.68 (v112(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5634, 5633, 5601])).
% 6.55/4.68 tff(5636,plain,
% 6.55/4.68 ((v111(constB19) | v112(constB19)) | (~v112(constB19))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5637,plain,
% 6.55/4.68 (v111(constB19) | v112(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5636, 5635])).
% 6.55/4.68 tff(5638,plain,
% 6.55/4.68 ((~(v108(constB19) <=> (v111(constB19) | v112(constB19)))) | v108(constB19) | (~(v111(constB19) | v112(constB19)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5639,plain,
% 6.55/4.68 (v108(constB19)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5638, 5637, 5599])).
% 6.55/4.68 tff(5640,plain,
% 6.55/4.68 ((~(v110(constB20) <=> v108(constB19))) | v110(constB20) | (~v108(constB19))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5641,plain,
% 6.55/4.68 (v110(constB20)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5640, 5639, 5597])).
% 6.55/4.68 tff(5642,plain,
% 6.55/4.68 ((~((~v101(constB20)) | (~v110(constB20)))) | (~v101(constB20)) | (~v110(constB20))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5643,plain,
% 6.55/4.68 (~((~v101(constB20)) | (~v110(constB20)))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5642, 5641, 5593])).
% 6.55/4.68 tff(5644,plain,
% 6.55/4.68 ((~(v100(constB20) <=> (~((~v101(constB20)) | (~v110(constB20)))))) | v100(constB20) | ((~v101(constB20)) | (~v110(constB20)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5645,plain,
% 6.55/4.68 (v100(constB20)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5644, 5643, 5565])).
% 6.55/4.68 tff(5646,plain,
% 6.55/4.68 (((~![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)))))),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5647,plain,
% 6.55/4.68 ((~![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)))))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5648,plain,
% 6.55/4.68 ((~![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))))),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5647, 5646])).
% 6.55/4.68 tff(5649,plain,
% 6.55/4.68 ((~v100(constB20)) | (~(((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0))))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5648, 4151])).
% 6.55/4.68 tff(5650,plain,
% 6.55/4.68 (~(((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0)))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5649, 5645])).
% 6.55/4.68 tff(5651,plain,
% 6.55/4.68 ((((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0))) | (~((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5652,plain,
% 6.55/4.68 (~((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5651, 5650])).
% 6.55/4.68 tff(5653,plain,
% 6.55/4.68 (((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | v90(constB20, bitIndex2) | (~v129(constB20, bitIndex2))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5654,plain,
% 6.55/4.68 (v90(constB20, bitIndex2)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5653, 5652, 5561])).
% 6.55/4.68 tff(5655,plain,
% 6.55/4.68 (((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | v90(constB21, bitIndex2) | (~v90(constB20, bitIndex2))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5656,plain,
% 6.55/4.68 (v90(constB21, bitIndex2)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5655, 5654, 3252])).
% 6.55/4.68 tff(5657,plain,
% 6.55/4.68 ((((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))) | (~((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5658,plain,
% 6.55/4.68 (~((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5657, 3250])).
% 6.55/4.68 tff(5659,plain,
% 6.55/4.68 ((((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0))) | (~((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5660,plain,
% 6.55/4.68 (~((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5659, 3259])).
% 6.55/4.68 tff(5661,plain,
% 6.55/4.68 ((((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1))) | (~((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5662,plain,
% 6.55/4.68 (~((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5661, 3273])).
% 6.55/4.68 tff(5663,plain,
% 6.55/4.68 ((v130(constB19, bitIndex0) | v130(constB19, bitIndex1) | (~v130(constB19, bitIndex2))) | (~v130(constB19, bitIndex0))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5664,plain,
% 6.55/4.68 (~v130(constB19, bitIndex0)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5663, 5555])).
% 6.55/4.68 tff(5665,plain,
% 6.55/4.68 (((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)) | (~v127(constB19, bitIndex0)) | v130(constB19, bitIndex0)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5666,plain,
% 6.55/4.68 (~v127(constB19, bitIndex0)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5665, 5664, 5662])).
% 6.55/4.68 tff(5667,plain,
% 6.55/4.68 (((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0)) | (~v129(constB20, bitIndex0)) | v127(constB19, bitIndex0)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5668,plain,
% 6.55/4.68 (~v129(constB20, bitIndex0)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5667, 5666, 5660])).
% 6.55/4.68 tff(5669,plain,
% 6.55/4.68 ((((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0))) | (~((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5670,plain,
% 6.55/4.68 (~((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5669, 5650])).
% 6.55/4.68 tff(5671,plain,
% 6.55/4.68 (((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0)) | (~v90(constB20, bitIndex0)) | v129(constB20, bitIndex0)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5672,plain,
% 6.55/4.68 (~v90(constB20, bitIndex0)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5671, 5670, 5668])).
% 6.55/4.68 tff(5673,plain,
% 6.55/4.68 (((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0)) | (~v90(constB21, bitIndex0)) | v90(constB20, bitIndex0)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5674,plain,
% 6.55/4.68 (~v90(constB21, bitIndex0)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5673, 5672, 5658])).
% 6.55/4.68 tff(5675,plain,
% 6.55/4.68 ((((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | ((~v90(constB21, bitIndex2)) <=> v90(constB20, bitIndex2)) | ((~v90(constB21, bitIndex0)) <=> v90(constB20, bitIndex0))) | (~((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5676,plain,
% 6.55/4.68 (~((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5675, 3250])).
% 6.55/4.68 tff(5677,plain,
% 6.55/4.68 ((((~v129(constB20, bitIndex2)) <=> v127(constB19, bitIndex2)) | ((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | ((~v129(constB20, bitIndex0)) <=> v127(constB19, bitIndex0))) | (~((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5678,plain,
% 6.55/4.68 (~((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5677, 3259])).
% 6.55/4.68 tff(5679,plain,
% 6.55/4.68 ((((~v127(constB19, bitIndex2)) <=> v130(constB19, bitIndex2)) | ((~v127(constB19, bitIndex0)) <=> v130(constB19, bitIndex0)) | ((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1))) | (~((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5680,plain,
% 6.55/4.68 (~((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5679, 3273])).
% 6.55/4.68 tff(5681,plain,
% 6.55/4.68 ((v130(constB19, bitIndex0) | v130(constB19, bitIndex1) | (~v130(constB19, bitIndex2))) | (~v130(constB19, bitIndex1))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5682,plain,
% 6.55/4.68 (~v130(constB19, bitIndex1)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5681, 5555])).
% 6.55/4.68 tff(5683,plain,
% 6.55/4.68 (((~v127(constB19, bitIndex1)) <=> v130(constB19, bitIndex1)) | (~v127(constB19, bitIndex1)) | v130(constB19, bitIndex1)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5684,plain,
% 6.55/4.68 (~v127(constB19, bitIndex1)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5683, 5682, 5680])).
% 6.55/4.68 tff(5685,plain,
% 6.55/4.68 (((~v129(constB20, bitIndex1)) <=> v127(constB19, bitIndex1)) | (~v129(constB20, bitIndex1)) | v127(constB19, bitIndex1)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5686,plain,
% 6.55/4.68 (~v129(constB20, bitIndex1)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5685, 5684, 5678])).
% 6.55/4.68 tff(5687,plain,
% 6.55/4.68 ((((~v90(constB20, bitIndex2)) <=> v129(constB20, bitIndex2)) | ((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | ((~v90(constB20, bitIndex0)) <=> v129(constB20, bitIndex0))) | (~((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5688,plain,
% 6.55/4.68 (~((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5687, 5650])).
% 6.55/4.68 tff(5689,plain,
% 6.55/4.68 (((~v90(constB20, bitIndex1)) <=> v129(constB20, bitIndex1)) | (~v90(constB20, bitIndex1)) | v129(constB20, bitIndex1)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5690,plain,
% 6.55/4.68 (~v90(constB20, bitIndex1)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5689, 5688, 5686])).
% 6.55/4.68 tff(5691,plain,
% 6.55/4.68 (((~v90(constB21, bitIndex1)) <=> v90(constB20, bitIndex1)) | (~v90(constB21, bitIndex1)) | v90(constB20, bitIndex1)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5692,plain,
% 6.55/4.68 (~v90(constB21, bitIndex1)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5691, 5690, 5676])).
% 6.55/4.68 tff(5693,plain,
% 6.55/4.68 ((~(v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2)))) | v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5694,plain,
% 6.55/4.68 (~(v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2)))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5693, 5692, 5674, 5656])).
% 6.55/4.68 tff(5695,plain,
% 6.55/4.68 ((~(v123(constB21) <=> (~(v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2)))))) | v123(constB21) | (v90(constB21, bitIndex1) | v90(constB21, bitIndex0) | (~v90(constB21, bitIndex2)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5696,plain,
% 6.55/4.68 (v123(constB21)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5695, 5694, 3216])).
% 6.55/4.68 tff(5697,plain,
% 6.55/4.68 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB21)) | (~(v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)) | (~v130(constB21, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB21)) | (~(v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)) | (~v130(constB21, bitIndex0)))))),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5698,plain,
% 6.55/4.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB21)) | (~(v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)) | (~v130(constB21, bitIndex0)))))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5699,plain,
% 6.55/4.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB21)) | (~(v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)) | (~v130(constB21, bitIndex0))))),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5698, 5697])).
% 6.55/4.68 tff(5700,plain,
% 6.55/4.68 ((~v123(constB21)) | (~(v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)) | (~v130(constB21, bitIndex0))))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5699, 4722])).
% 6.55/4.68 tff(5701,plain,
% 6.55/4.68 (~(v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)) | (~v130(constB21, bitIndex0)))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5700, 5696])).
% 6.55/4.68 tff(5702,plain,
% 6.55/4.68 ((v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)) | (~v130(constB21, bitIndex0))) | v130(constB21, bitIndex2)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5703,plain,
% 6.55/4.68 (v130(constB21, bitIndex2)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5702, 5701])).
% 6.55/4.68 tff(5704,plain,
% 6.55/4.68 (((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | v127(constB21, bitIndex2) | (~v130(constB21, bitIndex2))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5705,plain,
% 6.55/4.68 (v127(constB21, bitIndex2)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5704, 5703, 3209])).
% 6.55/4.68 tff(5706,plain,
% 6.55/4.68 (((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | v129(constB22, bitIndex2) | (~v127(constB21, bitIndex2))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5707,plain,
% 6.55/4.68 (v129(constB22, bitIndex2)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5706, 5705, 3195])).
% 6.55/4.68 tff(5708,plain,
% 6.55/4.68 (((~![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))))))),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5709,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5710,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB21, constB22)) | (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5709, 5708])).
% 6.55/4.68 tff(5711,plain,
% 6.55/4.68 (v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22))))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5710, 3189, 433])).
% 6.55/4.68 tff(5712,plain,
% 6.55/4.68 (((~![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))))))),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5713,plain,
% 6.55/4.68 (((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22)))))) <=> ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))))),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5714,plain,
% 6.55/4.68 (((~![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)))))))),
% 6.55/4.68 inference(monotonicity,[status(thm)],[5713])).
% 6.55/4.68 tff(5715,plain,
% 6.55/4.68 (((~![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))))))),
% 6.55/4.68 inference(transitivity,[status(thm)],[5714, 5712])).
% 6.55/4.68 tff(5716,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v102(constB22)) | (~v1(constB22))))))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5717,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 6.55/4.68 tff(5718,plain,
% 6.55/4.68 (v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22))))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5717, 3189, 453])).
% 6.55/4.68 tff(5719,plain,
% 6.55/4.68 (((~![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)))),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5720,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5721,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB21, constB22)) | ((~v102(constB22)) <=> v104(constB22))),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5720, 5719])).
% 6.55/4.68 tff(5722,plain,
% 6.55/4.68 ((~v102(constB22)) <=> v104(constB22)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5721, 3189, 3966])).
% 6.55/4.68 tff(5723,plain,
% 6.55/4.68 (((~![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)))),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5724,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5725,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v1(constB21))),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5724, 5723])).
% 6.55/4.68 tff(5726,plain,
% 6.55/4.68 (v104(constB22) <=> v1(constB21)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5725, 3189, 3980])).
% 6.55/4.68 tff(5727,plain,
% 6.55/4.68 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22)) | v1(constB21)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5728,plain,
% 6.55/4.68 ((~(v104(constB22) <=> v1(constB21))) | (~v104(constB22))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5727, 3233])).
% 6.55/4.68 tff(5729,plain,
% 6.55/4.68 (~v104(constB22)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5728, 5726])).
% 6.55/4.68 tff(5730,plain,
% 6.55/4.68 ((~((~v102(constB22)) <=> v104(constB22))) | v102(constB22) | v104(constB22)),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5731,plain,
% 6.55/4.68 (v102(constB22)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5730, 5729, 5722])).
% 6.55/4.68 tff(5732,plain,
% 6.55/4.68 (v1(constB22) <=> v1(constB22)),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5733,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22')).
% 6.55/4.68 tff(5734,plain,
% 6.55/4.68 (v1(constB22)),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5733, 5732])).
% 6.55/4.68 tff(5735,plain,
% 6.55/4.68 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v1(constB22)) | (~v102(constB22))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5736,plain,
% 6.55/4.68 ((~((~v1(constB22)) | (~v102(constB22)))) | (~v102(constB22))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5735, 5734])).
% 6.55/4.68 tff(5737,plain,
% 6.55/4.68 (~((~v1(constB22)) | (~v102(constB22)))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5736, 5731])).
% 6.55/4.68 tff(5738,plain,
% 6.55/4.68 ((~(v101(constB22) <=> (~((~v1(constB22)) | (~v102(constB22)))))) | v101(constB22) | ((~v1(constB22)) | (~v102(constB22)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5739,plain,
% 6.55/4.68 (v101(constB22)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5738, 5737, 5718])).
% 6.55/4.68 tff(5740,plain,
% 6.55/4.68 (((~![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)))),
% 6.55/4.68 inference(rewrite,[status(thm)],[])).
% 6.55/4.68 tff(5741,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5742,plain,
% 6.55/4.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB21, constB22)) | (v110(constB22) <=> v108(constB21))),
% 6.55/4.68 inference(modus_ponens,[status(thm)],[5741, 5740])).
% 6.55/4.68 tff(5743,plain,
% 6.55/4.68 (v110(constB22) <=> v108(constB21)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5742, 3189, 4007])).
% 6.55/4.68 tff(5744,plain,
% 6.55/4.68 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB21) <=> (v111(constB21) | v112(constB21)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5745,plain,
% 6.55/4.68 (v108(constB21) <=> (v111(constB21) | v112(constB21))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5744, 4018])).
% 6.55/4.68 tff(5746,plain,
% 6.55/4.68 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5747,plain,
% 6.55/4.68 (v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21))))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5746, 4030])).
% 6.55/4.68 tff(5748,plain,
% 6.55/4.68 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB21) <=> (v114(constB21) | v125(constB21)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5749,plain,
% 6.55/4.68 (v113(constB21) <=> (v114(constB21) | v125(constB21))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5748, 4039])).
% 6.55/4.68 tff(5750,plain,
% 6.55/4.68 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB21) <=> (v115(constB21) | v124(constB21)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5751,plain,
% 6.55/4.68 (v114(constB21) <=> (v115(constB21) | v124(constB21))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5750, 4048])).
% 6.55/4.68 tff(5752,plain,
% 6.55/4.68 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB21) <=> (v116(constB21) | v123(constB21)))),
% 6.55/4.68 inference(quant_inst,[status(thm)],[])).
% 6.55/4.68 tff(5753,plain,
% 6.55/4.68 (v115(constB21) <=> (v116(constB21) | v123(constB21))),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5752, 4057])).
% 6.55/4.68 tff(5754,plain,
% 6.55/4.68 ((v116(constB21) | v123(constB21)) | (~v123(constB21))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5755,plain,
% 6.55/4.68 (v116(constB21) | v123(constB21)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5754, 5696])).
% 6.55/4.68 tff(5756,plain,
% 6.55/4.68 ((~(v115(constB21) <=> (v116(constB21) | v123(constB21)))) | v115(constB21) | (~(v116(constB21) | v123(constB21)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5757,plain,
% 6.55/4.68 (v115(constB21)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5756, 5755, 5753])).
% 6.55/4.68 tff(5758,plain,
% 6.55/4.68 ((v115(constB21) | v124(constB21)) | (~v115(constB21))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5759,plain,
% 6.55/4.68 (v115(constB21) | v124(constB21)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5758, 5757])).
% 6.55/4.68 tff(5760,plain,
% 6.55/4.68 ((~(v114(constB21) <=> (v115(constB21) | v124(constB21)))) | v114(constB21) | (~(v115(constB21) | v124(constB21)))),
% 6.55/4.68 inference(tautology,[status(thm)],[])).
% 6.55/4.68 tff(5761,plain,
% 6.55/4.68 (v114(constB21)),
% 6.55/4.68 inference(unit_resolution,[status(thm)],[5760, 5759, 5751])).
% 6.55/4.69 tff(5762,plain,
% 6.55/4.69 ((v114(constB21) | v125(constB21)) | (~v114(constB21))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5763,plain,
% 6.55/4.69 (v114(constB21) | v125(constB21)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5762, 5761])).
% 6.55/4.69 tff(5764,plain,
% 6.55/4.69 ((~(v113(constB21) <=> (v114(constB21) | v125(constB21)))) | v113(constB21) | (~(v114(constB21) | v125(constB21)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5765,plain,
% 6.55/4.69 (v113(constB21)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5764, 5763, 5749])).
% 6.55/4.69 tff(5766,plain,
% 6.55/4.69 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB21)) <=> v111(constB21))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5767,plain,
% 6.55/4.69 ((~v126(constB21)) <=> v111(constB21)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5766, 4118])).
% 6.55/4.69 tff(5768,plain,
% 6.55/4.69 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21) | v111(constB21)),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5769,plain,
% 6.55/4.69 ((~((~v126(constB21)) <=> v111(constB21))) | v126(constB21)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5768, 3202])).
% 6.55/4.69 tff(5770,plain,
% 6.55/4.69 (v126(constB21)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5769, 5767])).
% 6.55/4.69 tff(5771,plain,
% 6.55/4.69 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21)) | (~v126(constB21))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5772,plain,
% 6.55/4.69 ((~((~v113(constB21)) | (~v126(constB21)))) | (~v113(constB21))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5771, 5770])).
% 6.55/4.69 tff(5773,plain,
% 6.55/4.69 (~((~v113(constB21)) | (~v126(constB21)))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5772, 5765])).
% 6.55/4.69 tff(5774,plain,
% 6.55/4.69 ((~(v112(constB21) <=> (~((~v113(constB21)) | (~v126(constB21)))))) | v112(constB21) | ((~v113(constB21)) | (~v126(constB21)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5775,plain,
% 6.55/4.69 (v112(constB21)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5774, 5773, 5747])).
% 6.55/4.69 tff(5776,plain,
% 6.55/4.69 ((v111(constB21) | v112(constB21)) | (~v112(constB21))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5777,plain,
% 6.55/4.69 (v111(constB21) | v112(constB21)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5776, 5775])).
% 6.55/4.69 tff(5778,plain,
% 6.55/4.69 ((~(v108(constB21) <=> (v111(constB21) | v112(constB21)))) | v108(constB21) | (~(v111(constB21) | v112(constB21)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5779,plain,
% 6.55/4.69 (v108(constB21)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5778, 5777, 5745])).
% 6.55/4.69 tff(5780,plain,
% 6.55/4.69 ((~(v110(constB22) <=> v108(constB21))) | v110(constB22) | (~v108(constB21))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5781,plain,
% 6.55/4.69 (v110(constB22)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5780, 5779, 5743])).
% 6.55/4.69 tff(5782,plain,
% 6.55/4.69 ((~((~v101(constB22)) | (~v110(constB22)))) | (~v101(constB22)) | (~v110(constB22))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5783,plain,
% 6.55/4.69 (~((~v101(constB22)) | (~v110(constB22)))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5782, 5781, 5739])).
% 6.55/4.69 tff(5784,plain,
% 6.55/4.69 ((~(v100(constB22) <=> (~((~v101(constB22)) | (~v110(constB22)))))) | v100(constB22) | ((~v101(constB22)) | (~v110(constB22)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5785,plain,
% 6.55/4.69 (v100(constB22)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5784, 5783, 5711])).
% 6.55/4.69 tff(5786,plain,
% 6.55/4.69 (((~![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)))))),
% 6.55/4.69 inference(rewrite,[status(thm)],[])).
% 6.55/4.69 tff(5787,plain,
% 6.55/4.69 (((~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)))))),
% 6.55/4.69 inference(rewrite,[status(thm)],[])).
% 6.55/4.69 tff(5788,plain,
% 6.55/4.69 (((~![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))))))),
% 6.55/4.69 inference(monotonicity,[status(thm)],[5787])).
% 6.55/4.69 tff(5789,plain,
% 6.55/4.69 (((~![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)))))),
% 6.55/4.69 inference(transitivity,[status(thm)],[5788, 5786])).
% 6.55/4.69 tff(5790,plain,
% 6.55/4.69 ((~![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)))))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5791,plain,
% 6.55/4.69 ((~![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))))),
% 6.55/4.69 inference(modus_ponens,[status(thm)],[5790, 5789])).
% 6.55/4.69 tff(5792,plain,
% 6.55/4.69 ((~v100(constB22)) | (~(((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5791, 4151])).
% 6.55/4.69 tff(5793,plain,
% 6.55/4.69 (~(((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5792, 5785])).
% 6.55/4.69 tff(5794,plain,
% 6.55/4.69 ((((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))) | (~((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5795,plain,
% 6.55/4.69 (~((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5794, 5793])).
% 6.55/4.69 tff(5796,plain,
% 6.55/4.69 (((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5797,plain,
% 6.55/4.69 (v90(constB22, bitIndex2)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5796, 5795, 5707])).
% 6.55/4.69 tff(5798,plain,
% 6.55/4.69 (((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | v90(constB23, bitIndex2) | (~v90(constB22, bitIndex2))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5799,plain,
% 6.55/4.69 (v90(constB23, bitIndex2)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5798, 5797, 3186])).
% 6.55/4.69 tff(5800,plain,
% 6.55/4.69 ((((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))) | (~((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5801,plain,
% 6.55/4.69 (~((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5800, 3184])).
% 6.55/4.69 tff(5802,plain,
% 6.55/4.69 ((((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0))) | (~((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5803,plain,
% 6.55/4.69 (~((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5802, 3193])).
% 6.55/4.69 tff(5804,plain,
% 6.55/4.69 ((((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1))) | (~((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5805,plain,
% 6.55/4.69 (~((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5804, 3207])).
% 6.55/4.69 tff(5806,plain,
% 6.55/4.69 ((v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)) | (~v130(constB21, bitIndex0))) | v130(constB21, bitIndex0)),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5807,plain,
% 6.55/4.69 (v130(constB21, bitIndex0)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5806, 5701])).
% 6.55/4.69 tff(5808,plain,
% 6.55/4.69 (((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)) | v127(constB21, bitIndex0) | (~v130(constB21, bitIndex0))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5809,plain,
% 6.55/4.69 (v127(constB21, bitIndex0)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5808, 5807, 5805])).
% 6.55/4.69 tff(5810,plain,
% 6.55/4.69 (((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0)) | v129(constB22, bitIndex0) | (~v127(constB21, bitIndex0))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5811,plain,
% 6.55/4.69 (v129(constB22, bitIndex0)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5810, 5809, 5803])).
% 6.55/4.69 tff(5812,plain,
% 6.55/4.69 ((((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))) | (~((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5813,plain,
% 6.55/4.69 (~((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5812, 5793])).
% 6.55/4.69 tff(5814,plain,
% 6.55/4.69 (((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | v90(constB22, bitIndex0) | (~v129(constB22, bitIndex0))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5815,plain,
% 6.55/4.69 (v90(constB22, bitIndex0)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5814, 5813, 5811])).
% 6.55/4.69 tff(5816,plain,
% 6.55/4.69 (((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0)) | v90(constB23, bitIndex0) | (~v90(constB22, bitIndex0))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5817,plain,
% 6.55/4.69 (v90(constB23, bitIndex0)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5816, 5815, 5801])).
% 6.55/4.69 tff(5818,plain,
% 6.55/4.69 ((((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | ((~v90(constB23, bitIndex2)) <=> v90(constB22, bitIndex2)) | ((~v90(constB23, bitIndex0)) <=> v90(constB22, bitIndex0))) | (~((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5819,plain,
% 6.55/4.69 (~((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5818, 3184])).
% 6.55/4.69 tff(5820,plain,
% 6.55/4.69 ((((~v129(constB22, bitIndex2)) <=> v127(constB21, bitIndex2)) | ((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | ((~v129(constB22, bitIndex0)) <=> v127(constB21, bitIndex0))) | (~((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5821,plain,
% 6.55/4.69 (~((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5820, 3193])).
% 6.55/4.69 tff(5822,plain,
% 6.55/4.69 ((((~v127(constB21, bitIndex2)) <=> v130(constB21, bitIndex2)) | ((~v127(constB21, bitIndex0)) <=> v130(constB21, bitIndex0)) | ((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1))) | (~((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5823,plain,
% 6.55/4.69 (~((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5822, 3207])).
% 6.55/4.69 tff(5824,plain,
% 6.55/4.69 ((v130(constB21, bitIndex1) | (~v130(constB21, bitIndex2)) | (~v130(constB21, bitIndex0))) | (~v130(constB21, bitIndex1))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5825,plain,
% 6.55/4.69 (~v130(constB21, bitIndex1)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5824, 5701])).
% 6.55/4.69 tff(5826,plain,
% 6.55/4.69 (((~v127(constB21, bitIndex1)) <=> v130(constB21, bitIndex1)) | (~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5827,plain,
% 6.55/4.69 (~v127(constB21, bitIndex1)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5826, 5825, 5823])).
% 6.55/4.69 tff(5828,plain,
% 6.55/4.69 (((~v129(constB22, bitIndex1)) <=> v127(constB21, bitIndex1)) | (~v129(constB22, bitIndex1)) | v127(constB21, bitIndex1)),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5829,plain,
% 6.55/4.69 (~v129(constB22, bitIndex1)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5828, 5827, 5821])).
% 6.55/4.69 tff(5830,plain,
% 6.55/4.69 ((((~v90(constB22, bitIndex0)) <=> v129(constB22, bitIndex0)) | ((~v90(constB22, bitIndex2)) <=> v129(constB22, bitIndex2)) | ((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))) | (~((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5831,plain,
% 6.55/4.69 (~((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5830, 5793])).
% 6.55/4.69 tff(5832,plain,
% 6.55/4.69 (((~v90(constB22, bitIndex1)) <=> v129(constB22, bitIndex1)) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1)),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5833,plain,
% 6.55/4.69 (~v90(constB22, bitIndex1)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5832, 5831, 5829])).
% 6.55/4.69 tff(5834,plain,
% 6.55/4.69 (((~v90(constB23, bitIndex1)) <=> v90(constB22, bitIndex1)) | (~v90(constB23, bitIndex1)) | v90(constB22, bitIndex1)),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5835,plain,
% 6.55/4.69 (~v90(constB23, bitIndex1)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5834, 5833, 5819])).
% 6.55/4.69 tff(5836,plain,
% 6.55/4.69 ((~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0)))) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5837,plain,
% 6.55/4.69 (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0)))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5836, 5835, 5817, 5799])).
% 6.55/4.69 tff(5838,plain,
% 6.55/4.69 ((~(v124(constB23) <=> (~(v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0)))))) | v124(constB23) | (v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | (~v90(constB23, bitIndex0)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5839,plain,
% 6.55/4.69 (v124(constB23)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5838, 5837, 3150])).
% 6.55/4.69 tff(5840,plain,
% 6.55/4.69 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB23)) | (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB23)) | (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1)))))),
% 6.55/4.69 inference(rewrite,[status(thm)],[])).
% 6.55/4.69 tff(5841,plain,
% 6.55/4.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB23)) | (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1)))))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5842,plain,
% 6.55/4.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB23)) | (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1))))),
% 6.55/4.69 inference(modus_ponens,[status(thm)],[5841, 5840])).
% 6.55/4.69 tff(5843,plain,
% 6.55/4.69 ((~v124(constB23)) | (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1))))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5842, 4878])).
% 6.55/4.69 tff(5844,plain,
% 6.55/4.69 (~(v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1)))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5843, 5839])).
% 6.55/4.69 tff(5845,plain,
% 6.55/4.69 ((v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1))) | v130(constB23, bitIndex2)),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5846,plain,
% 6.55/4.69 (v130(constB23, bitIndex2)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5845, 5844])).
% 6.55/4.69 tff(5847,plain,
% 6.55/4.69 (((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | v127(constB23, bitIndex2) | (~v130(constB23, bitIndex2))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5848,plain,
% 6.55/4.69 (v127(constB23, bitIndex2)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5847, 5846, 3143])).
% 6.55/4.69 tff(5849,plain,
% 6.55/4.69 (((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | v129(constB24, bitIndex2) | (~v127(constB23, bitIndex2))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5850,plain,
% 6.55/4.69 (v129(constB24, bitIndex2)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5849, 5848, 3129])).
% 6.55/4.69 tff(5851,plain,
% 6.55/4.69 (((~![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))))))),
% 6.55/4.69 inference(rewrite,[status(thm)],[])).
% 6.55/4.69 tff(5852,plain,
% 6.55/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5853,plain,
% 6.55/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB23, constB24)) | (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))),
% 6.55/4.69 inference(modus_ponens,[status(thm)],[5852, 5851])).
% 6.55/4.69 tff(5854,plain,
% 6.55/4.69 (v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24))))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5853, 3123, 433])).
% 6.55/4.69 tff(5855,plain,
% 6.55/4.69 (((~![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))))))),
% 6.55/4.69 inference(rewrite,[status(thm)],[])).
% 6.55/4.69 tff(5856,plain,
% 6.55/4.69 (((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24)))))) <=> ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))))),
% 6.55/4.69 inference(rewrite,[status(thm)],[])).
% 6.55/4.69 tff(5857,plain,
% 6.55/4.69 (((~![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)))))))),
% 6.55/4.69 inference(monotonicity,[status(thm)],[5856])).
% 6.55/4.69 tff(5858,plain,
% 6.55/4.69 (((~![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))))))),
% 6.55/4.69 inference(transitivity,[status(thm)],[5857, 5855])).
% 6.55/4.69 tff(5859,plain,
% 6.55/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v102(constB24)) | (~v1(constB24))))))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5860,plain,
% 6.55/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))),
% 6.55/4.69 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 6.55/4.69 tff(5861,plain,
% 6.55/4.69 (v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24))))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5860, 3123, 453])).
% 6.55/4.69 tff(5862,plain,
% 6.55/4.69 (((~![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)))),
% 6.55/4.69 inference(rewrite,[status(thm)],[])).
% 6.55/4.69 tff(5863,plain,
% 6.55/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24)))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5864,plain,
% 6.55/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB23, constB24)) | ((~v102(constB24)) <=> v104(constB24))),
% 6.55/4.69 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 6.55/4.69 tff(5865,plain,
% 6.55/4.69 ((~v102(constB24)) <=> v104(constB24)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5864, 3123, 3966])).
% 6.55/4.69 tff(5866,plain,
% 6.55/4.69 (((~![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)))),
% 6.55/4.69 inference(rewrite,[status(thm)],[])).
% 6.55/4.69 tff(5867,plain,
% 6.55/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23)))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5868,plain,
% 6.55/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v1(constB23))),
% 6.55/4.69 inference(modus_ponens,[status(thm)],[5867, 5866])).
% 6.55/4.69 tff(5869,plain,
% 6.55/4.69 (v104(constB24) <=> v1(constB23)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5868, 3123, 3980])).
% 6.55/4.69 tff(5870,plain,
% 6.55/4.69 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24)) | v1(constB23)),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5871,plain,
% 6.55/4.69 ((~(v104(constB24) <=> v1(constB23))) | (~v104(constB24))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5870, 3167])).
% 6.55/4.69 tff(5872,plain,
% 6.55/4.69 (~v104(constB24)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5871, 5869])).
% 6.55/4.69 tff(5873,plain,
% 6.55/4.69 ((~((~v102(constB24)) <=> v104(constB24))) | v102(constB24) | v104(constB24)),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5874,plain,
% 6.55/4.69 (v102(constB24)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5873, 5872, 5865])).
% 6.55/4.69 tff(5875,plain,
% 6.55/4.69 (v1(constB24) <=> v1(constB24)),
% 6.55/4.69 inference(rewrite,[status(thm)],[])).
% 6.55/4.69 tff(5876,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24')).
% 6.55/4.69 tff(5877,plain,
% 6.55/4.69 (v1(constB24)),
% 6.55/4.69 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 6.55/4.69 tff(5878,plain,
% 6.55/4.69 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v1(constB24)) | (~v102(constB24))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5879,plain,
% 6.55/4.69 ((~((~v1(constB24)) | (~v102(constB24)))) | (~v102(constB24))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5878, 5877])).
% 6.55/4.69 tff(5880,plain,
% 6.55/4.69 (~((~v1(constB24)) | (~v102(constB24)))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5879, 5874])).
% 6.55/4.69 tff(5881,plain,
% 6.55/4.69 ((~(v101(constB24) <=> (~((~v1(constB24)) | (~v102(constB24)))))) | v101(constB24) | ((~v1(constB24)) | (~v102(constB24)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5882,plain,
% 6.55/4.69 (v101(constB24)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5881, 5880, 5861])).
% 6.55/4.69 tff(5883,plain,
% 6.55/4.69 (((~![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)))),
% 6.55/4.69 inference(rewrite,[status(thm)],[])).
% 6.55/4.69 tff(5884,plain,
% 6.55/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23)))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5885,plain,
% 6.55/4.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB23, constB24)) | (v110(constB24) <=> v108(constB23))),
% 6.55/4.69 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 6.55/4.69 tff(5886,plain,
% 6.55/4.69 (v110(constB24) <=> v108(constB23)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5885, 3123, 4007])).
% 6.55/4.69 tff(5887,plain,
% 6.55/4.69 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB23) <=> (v111(constB23) | v112(constB23)))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5888,plain,
% 6.55/4.69 (v108(constB23) <=> (v111(constB23) | v112(constB23))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5887, 4018])).
% 6.55/4.69 tff(5889,plain,
% 6.55/4.69 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5890,plain,
% 6.55/4.69 (v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23))))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5889, 4030])).
% 6.55/4.69 tff(5891,plain,
% 6.55/4.69 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB23) <=> (v114(constB23) | v125(constB23)))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5892,plain,
% 6.55/4.69 (v113(constB23) <=> (v114(constB23) | v125(constB23))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5891, 4039])).
% 6.55/4.69 tff(5893,plain,
% 6.55/4.69 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB23) <=> (v115(constB23) | v124(constB23)))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5894,plain,
% 6.55/4.69 (v114(constB23) <=> (v115(constB23) | v124(constB23))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5893, 4048])).
% 6.55/4.69 tff(5895,plain,
% 6.55/4.69 ((v115(constB23) | v124(constB23)) | (~v124(constB23))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5896,plain,
% 6.55/4.69 (v115(constB23) | v124(constB23)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5895, 5839])).
% 6.55/4.69 tff(5897,plain,
% 6.55/4.69 ((~(v114(constB23) <=> (v115(constB23) | v124(constB23)))) | v114(constB23) | (~(v115(constB23) | v124(constB23)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5898,plain,
% 6.55/4.69 (v114(constB23)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5897, 5896, 5894])).
% 6.55/4.69 tff(5899,plain,
% 6.55/4.69 ((v114(constB23) | v125(constB23)) | (~v114(constB23))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5900,plain,
% 6.55/4.69 (v114(constB23) | v125(constB23)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5899, 5898])).
% 6.55/4.69 tff(5901,plain,
% 6.55/4.69 ((~(v113(constB23) <=> (v114(constB23) | v125(constB23)))) | v113(constB23) | (~(v114(constB23) | v125(constB23)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5902,plain,
% 6.55/4.69 (v113(constB23)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5901, 5900, 5892])).
% 6.55/4.69 tff(5903,plain,
% 6.55/4.69 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB23)) <=> v111(constB23))),
% 6.55/4.69 inference(quant_inst,[status(thm)],[])).
% 6.55/4.69 tff(5904,plain,
% 6.55/4.69 ((~v126(constB23)) <=> v111(constB23)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5903, 4118])).
% 6.55/4.69 tff(5905,plain,
% 6.55/4.69 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23) | v111(constB23)),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5906,plain,
% 6.55/4.69 ((~((~v126(constB23)) <=> v111(constB23))) | v126(constB23)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5905, 3136])).
% 6.55/4.69 tff(5907,plain,
% 6.55/4.69 (v126(constB23)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5906, 5904])).
% 6.55/4.69 tff(5908,plain,
% 6.55/4.69 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23)) | (~v126(constB23))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5909,plain,
% 6.55/4.69 ((~((~v113(constB23)) | (~v126(constB23)))) | (~v113(constB23))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5908, 5907])).
% 6.55/4.69 tff(5910,plain,
% 6.55/4.69 (~((~v113(constB23)) | (~v126(constB23)))),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5909, 5902])).
% 6.55/4.69 tff(5911,plain,
% 6.55/4.69 ((~(v112(constB23) <=> (~((~v113(constB23)) | (~v126(constB23)))))) | v112(constB23) | ((~v113(constB23)) | (~v126(constB23)))),
% 6.55/4.69 inference(tautology,[status(thm)],[])).
% 6.55/4.69 tff(5912,plain,
% 6.55/4.69 (v112(constB23)),
% 6.55/4.69 inference(unit_resolution,[status(thm)],[5911, 5910, 5890])).
% 6.55/4.70 tff(5913,plain,
% 6.55/4.70 ((v111(constB23) | v112(constB23)) | (~v112(constB23))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5914,plain,
% 6.55/4.70 (v111(constB23) | v112(constB23)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5913, 5912])).
% 6.55/4.70 tff(5915,plain,
% 6.55/4.70 ((~(v108(constB23) <=> (v111(constB23) | v112(constB23)))) | v108(constB23) | (~(v111(constB23) | v112(constB23)))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5916,plain,
% 6.55/4.70 (v108(constB23)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5915, 5914, 5888])).
% 6.55/4.70 tff(5917,plain,
% 6.55/4.70 ((~(v110(constB24) <=> v108(constB23))) | v110(constB24) | (~v108(constB23))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5918,plain,
% 6.55/4.70 (v110(constB24)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5917, 5916, 5886])).
% 6.55/4.70 tff(5919,plain,
% 6.55/4.70 ((~((~v101(constB24)) | (~v110(constB24)))) | (~v101(constB24)) | (~v110(constB24))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5920,plain,
% 6.55/4.70 (~((~v101(constB24)) | (~v110(constB24)))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5919, 5918, 5882])).
% 6.55/4.70 tff(5921,plain,
% 6.55/4.70 ((~(v100(constB24) <=> (~((~v101(constB24)) | (~v110(constB24)))))) | v100(constB24) | ((~v101(constB24)) | (~v110(constB24)))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5922,plain,
% 6.55/4.70 (v100(constB24)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5921, 5920, 5854])).
% 6.55/4.70 tff(5923,plain,
% 6.55/4.70 (((~![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)))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(5924,plain,
% 6.55/4.70 ((~![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)))))),
% 6.55/4.70 inference(quant_inst,[status(thm)],[])).
% 6.55/4.70 tff(5925,plain,
% 6.55/4.70 ((~![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))))),
% 6.55/4.70 inference(modus_ponens,[status(thm)],[5924, 5923])).
% 6.55/4.70 tff(5926,plain,
% 6.55/4.70 ((~v100(constB24)) | (~(((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0))))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5925, 4151])).
% 6.55/4.70 tff(5927,plain,
% 6.55/4.70 (~(((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0)))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5926, 5922])).
% 6.55/4.70 tff(5928,plain,
% 6.55/4.70 ((((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0))) | (~((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5929,plain,
% 6.55/4.70 (~((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5928, 5927])).
% 6.55/4.70 tff(5930,plain,
% 6.55/4.70 (((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5931,plain,
% 6.55/4.70 (v90(constB24, bitIndex2)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5930, 5929, 5850])).
% 6.55/4.70 tff(5932,plain,
% 6.55/4.70 (((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | v90(constB25, bitIndex2) | (~v90(constB24, bitIndex2))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5933,plain,
% 6.55/4.70 (v90(constB25, bitIndex2)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5932, 5931, 3120])).
% 6.55/4.70 tff(5934,plain,
% 6.55/4.70 ((v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex2))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5935,plain,
% 6.55/4.70 (v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5934, 5933])).
% 6.55/4.70 tff(5936,plain,
% 6.55/4.70 ((~(v119(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2))))) | (~v119(constB25)) | (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | v90(constB25, bitIndex2)))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5937,plain,
% 6.55/4.70 (~v119(constB25)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5936, 5935, 3084])).
% 6.55/4.70 tff(5938,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(5939,plain,
% 6.55/4.70 ((v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2))))) <=> (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0)))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(5940,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(monotonicity,[status(thm)],[5939])).
% 6.55/4.70 tff(5941,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(transitivity,[status(thm)],[5940, 5938])).
% 6.55/4.70 tff(5942,plain,
% 6.55/4.70 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex2)))))),
% 6.55/4.70 inference(quant_inst,[status(thm)],[])).
% 6.55/4.70 tff(5943,plain,
% 6.55/4.70 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0)))))),
% 6.55/4.70 inference(modus_ponens,[status(thm)],[5942, 5941])).
% 6.55/4.70 tff(5944,plain,
% 6.55/4.70 (v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0))))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5943, 801])).
% 6.55/4.70 tff(5945,plain,
% 6.55/4.70 ((((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))) | (~((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5946,plain,
% 6.55/4.70 (~((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5945, 3118])).
% 6.55/4.70 tff(5947,plain,
% 6.55/4.70 ((((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0))) | (~((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5948,plain,
% 6.55/4.70 (~((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5947, 3127])).
% 6.55/4.70 tff(5949,plain,
% 6.55/4.70 ((((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1))) | (~((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5950,plain,
% 6.55/4.70 (~((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5949, 3141])).
% 6.55/4.70 tff(5951,plain,
% 6.55/4.70 ((v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1))) | v130(constB23, bitIndex1)),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5952,plain,
% 6.55/4.70 (v130(constB23, bitIndex1)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5951, 5844])).
% 6.55/4.70 tff(5953,plain,
% 6.55/4.70 (((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1)) | v127(constB23, bitIndex1) | (~v130(constB23, bitIndex1))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5954,plain,
% 6.55/4.70 (v127(constB23, bitIndex1)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5953, 5952, 5950])).
% 6.55/4.70 tff(5955,plain,
% 6.55/4.70 (((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | v129(constB24, bitIndex1) | (~v127(constB23, bitIndex1))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5956,plain,
% 6.55/4.70 (v129(constB24, bitIndex1)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5955, 5954, 5948])).
% 6.55/4.70 tff(5957,plain,
% 6.55/4.70 ((((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0))) | (~((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5958,plain,
% 6.55/4.70 (~((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5957, 5927])).
% 6.55/4.70 tff(5959,plain,
% 6.55/4.70 (((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5960,plain,
% 6.55/4.70 (v90(constB24, bitIndex1)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5959, 5958, 5956])).
% 6.55/4.70 tff(5961,plain,
% 6.55/4.70 (((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | v90(constB25, bitIndex1) | (~v90(constB24, bitIndex1))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5962,plain,
% 6.55/4.70 (v90(constB25, bitIndex1)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5961, 5960, 5946])).
% 6.55/4.70 tff(5963,plain,
% 6.55/4.70 ((v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex1))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5964,plain,
% 6.55/4.70 (v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5963, 5962])).
% 6.55/4.70 tff(5965,plain,
% 6.55/4.70 ((~(v124(constB25) <=> (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0)))))) | (~v124(constB25)) | (~(v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)) | (~v90(constB25, bitIndex0))))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5966,plain,
% 6.55/4.70 (~v124(constB25)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5965, 5964, 5944])).
% 6.55/4.70 tff(5967,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(5968,plain,
% 6.55/4.70 ((v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2))))) <=> (v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2)))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(5969,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(monotonicity,[status(thm)],[5968])).
% 6.55/4.70 tff(5970,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(transitivity,[status(thm)],[5969, 5967])).
% 6.55/4.70 tff(5971,plain,
% 6.55/4.70 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex1) | (~v90(constB25, bitIndex2)))))),
% 6.55/4.70 inference(quant_inst,[status(thm)],[])).
% 6.55/4.70 tff(5972,plain,
% 6.55/4.70 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2)))))),
% 6.55/4.70 inference(modus_ponens,[status(thm)],[5971, 5970])).
% 6.55/4.70 tff(5973,plain,
% 6.55/4.70 (v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2))))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5972, 880])).
% 6.55/4.70 tff(5974,plain,
% 6.55/4.70 ((v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2))) | (~v90(constB25, bitIndex1))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5975,plain,
% 6.55/4.70 (v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5974, 5962])).
% 6.55/4.70 tff(5976,plain,
% 6.55/4.70 ((~(v123(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2)))))) | (~v123(constB25)) | (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex2))))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5977,plain,
% 6.55/4.70 (~v123(constB25)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5976, 5975, 5973])).
% 6.55/4.70 tff(5978,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(5979,plain,
% 6.55/4.70 ((v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1))))) <=> (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(5980,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(monotonicity,[status(thm)],[5979])).
% 6.55/4.70 tff(5981,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(transitivity,[status(thm)],[5980, 5978])).
% 6.55/4.70 tff(5982,plain,
% 6.55/4.70 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)) | (~v90(constB25, bitIndex1)))))),
% 6.55/4.70 inference(quant_inst,[status(thm)],[])).
% 6.55/4.70 tff(5983,plain,
% 6.55/4.70 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))),
% 6.55/4.70 inference(modus_ponens,[status(thm)],[5982, 5981])).
% 6.55/4.70 tff(5984,plain,
% 6.55/4.70 (v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5983, 959])).
% 6.55/4.70 tff(5985,plain,
% 6.55/4.70 ((v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5986,plain,
% 6.55/4.70 (v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5985, 5933])).
% 6.55/4.70 tff(5987,plain,
% 6.55/4.70 ((~(v122(constB25) <=> (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0)))))) | (~v122(constB25)) | (~(v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex0))))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5988,plain,
% 6.55/4.70 (~v122(constB25)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5987, 5986, 5984])).
% 6.55/4.70 tff(5989,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(5990,plain,
% 6.55/4.70 ((v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1))))) <=> (v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(5991,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(monotonicity,[status(thm)],[5990])).
% 6.55/4.70 tff(5992,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(transitivity,[status(thm)],[5991, 5989])).
% 6.55/4.70 tff(5993,plain,
% 6.55/4.70 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex0) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex1)))))),
% 6.55/4.70 inference(quant_inst,[status(thm)],[])).
% 6.55/4.70 tff(5994,plain,
% 6.55/4.70 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)))))),
% 6.55/4.70 inference(modus_ponens,[status(thm)],[5993, 5992])).
% 6.55/4.70 tff(5995,plain,
% 6.55/4.70 (v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1))))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5994, 574])).
% 6.55/4.70 tff(5996,plain,
% 6.55/4.70 ((v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1))) | (~v90(constB25, bitIndex2))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5997,plain,
% 6.55/4.70 (v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5996, 5933])).
% 6.55/4.70 tff(5998,plain,
% 6.55/4.70 ((~(v121(constB25) <=> (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)))))) | (~v121(constB25)) | (~(v90(constB25, bitIndex2) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1))))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(5999,plain,
% 6.55/4.70 (~v121(constB25)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[5998, 5997, 5995])).
% 6.55/4.70 tff(6000,plain,
% 6.55/4.70 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)))))),
% 6.55/4.70 inference(quant_inst,[status(thm)],[])).
% 6.55/4.70 tff(6001,plain,
% 6.55/4.70 (v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0))))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[6000, 653])).
% 6.55/4.70 tff(6002,plain,
% 6.55/4.70 ((v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0))) | (~v90(constB25, bitIndex2))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(6003,plain,
% 6.55/4.70 (v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0))),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[6002, 5933])).
% 6.55/4.70 tff(6004,plain,
% 6.55/4.70 ((~(v120(constB25) <=> (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0)))))) | (~v120(constB25)) | (~(v90(constB25, bitIndex1) | v90(constB25, bitIndex2) | (~v90(constB25, bitIndex0))))),
% 6.55/4.70 inference(tautology,[status(thm)],[])).
% 6.55/4.70 tff(6005,plain,
% 6.55/4.70 (~v120(constB25)),
% 6.55/4.70 inference(unit_resolution,[status(thm)],[6004, 6003, 6001])).
% 6.55/4.70 tff(6006,plain,
% 6.55/4.70 (((~![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)))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(6007,plain,
% 6.55/4.70 ((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)))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(6008,plain,
% 6.55/4.70 ((~(v130(constB25, bitIndex1) | v130(constB25, bitIndex2) | (~v130(constB25, bitIndex0)))) <=> (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))))),
% 6.55/4.70 inference(rewrite,[status(thm)],[])).
% 6.55/4.70 tff(6009,plain,
% 6.55/4.70 ((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)))))),
% 6.55/4.70 inference(monotonicity,[status(thm)],[6008])).
% 6.55/4.70 tff(6010,plain,
% 6.55/4.70 ((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)))))),
% 6.55/4.70 inference(transitivity,[status(thm)],[6009, 6007])).
% 6.55/4.70 tff(6011,plain,
% 6.55/4.70 (((~![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))))))),
% 6.55/4.70 inference(monotonicity,[status(thm)],[6010])).
% 6.55/4.71 tff(6012,plain,
% 6.55/4.71 (((~![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)))))),
% 6.55/4.71 inference(transitivity,[status(thm)],[6011, 6006])).
% 6.55/4.71 tff(6013,plain,
% 6.55/4.71 ((~![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)))))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6014,plain,
% 6.55/4.71 ((~![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))))),
% 6.55/4.71 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 6.55/4.71 tff(6015,plain,
% 6.55/4.71 (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6014, 5057])).
% 6.55/4.71 tff(6016,plain,
% 6.55/4.71 (~(v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0)))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6015, 6005, 5999, 5988, 5977, 5966, 5937])).
% 6.55/4.71 tff(6017,plain,
% 6.55/4.71 ((v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))) | (~v130(constB25, bitIndex2))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6018,plain,
% 6.55/4.71 (~v130(constB25, bitIndex2)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6017, 6016])).
% 6.55/4.71 tff(6019,plain,
% 6.55/4.71 (((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | (~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6020,plain,
% 6.55/4.71 (~v127(constB25, bitIndex2)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6019, 6018, 3082])).
% 6.55/4.71 tff(6021,plain,
% 6.55/4.71 (((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | (~v129(constB26, bitIndex2)) | v127(constB25, bitIndex2)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6022,plain,
% 6.55/4.71 (~v129(constB26, bitIndex2)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6021, 6020, 3068])).
% 6.55/4.71 tff(6023,plain,
% 6.55/4.71 (((~![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))))))),
% 6.55/4.71 inference(rewrite,[status(thm)],[])).
% 6.55/4.71 tff(6024,plain,
% 6.55/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6025,plain,
% 6.55/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB25, constB26)) | (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))),
% 6.55/4.71 inference(modus_ponens,[status(thm)],[6024, 6023])).
% 6.55/4.71 tff(6026,plain,
% 6.55/4.71 (v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26))))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6025, 3062, 433])).
% 6.55/4.71 tff(6027,plain,
% 6.55/4.71 (((~![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))))))),
% 6.55/4.71 inference(rewrite,[status(thm)],[])).
% 6.55/4.71 tff(6028,plain,
% 6.55/4.71 (((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26)))))) <=> ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))))),
% 6.55/4.71 inference(rewrite,[status(thm)],[])).
% 6.55/4.71 tff(6029,plain,
% 6.55/4.71 (((~![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)))))))),
% 6.55/4.71 inference(monotonicity,[status(thm)],[6028])).
% 6.55/4.71 tff(6030,plain,
% 6.55/4.71 (((~![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))))))),
% 6.55/4.71 inference(transitivity,[status(thm)],[6029, 6027])).
% 6.55/4.71 tff(6031,plain,
% 6.55/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v102(constB26)) | (~v1(constB26))))))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6032,plain,
% 6.55/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))),
% 6.55/4.71 inference(modus_ponens,[status(thm)],[6031, 6030])).
% 6.55/4.71 tff(6033,plain,
% 6.55/4.71 (v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26))))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6032, 3062, 453])).
% 6.55/4.71 tff(6034,plain,
% 6.55/4.71 (((~![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)))),
% 6.55/4.71 inference(rewrite,[status(thm)],[])).
% 6.55/4.71 tff(6035,plain,
% 6.55/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26)))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6036,plain,
% 6.55/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB25, constB26)) | ((~v102(constB26)) <=> v104(constB26))),
% 6.55/4.71 inference(modus_ponens,[status(thm)],[6035, 6034])).
% 6.55/4.71 tff(6037,plain,
% 6.55/4.71 ((~v102(constB26)) <=> v104(constB26)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6036, 3062, 3966])).
% 6.55/4.71 tff(6038,plain,
% 6.55/4.71 (((~![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)))),
% 6.55/4.71 inference(rewrite,[status(thm)],[])).
% 6.55/4.71 tff(6039,plain,
% 6.55/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25)))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6040,plain,
% 6.55/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v1(constB25))),
% 6.55/4.71 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 6.55/4.71 tff(6041,plain,
% 6.55/4.71 (v104(constB26) <=> v1(constB25)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6040, 3062, 3980])).
% 6.55/4.71 tff(6042,plain,
% 6.55/4.71 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26)) | v1(constB25)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6043,plain,
% 6.55/4.71 ((~(v104(constB26) <=> v1(constB25))) | (~v104(constB26))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6042, 3101])).
% 6.55/4.71 tff(6044,plain,
% 6.55/4.71 (~v104(constB26)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6043, 6041])).
% 6.55/4.71 tff(6045,plain,
% 6.55/4.71 ((~((~v102(constB26)) <=> v104(constB26))) | v102(constB26) | v104(constB26)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6046,plain,
% 6.55/4.71 (v102(constB26)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6045, 6044, 6037])).
% 6.55/4.71 tff(6047,plain,
% 6.55/4.71 (v1(constB26) <=> v1(constB26)),
% 6.55/4.71 inference(rewrite,[status(thm)],[])).
% 6.55/4.71 tff(6048,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26')).
% 6.55/4.71 tff(6049,plain,
% 6.55/4.71 (v1(constB26)),
% 6.55/4.71 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 6.55/4.71 tff(6050,plain,
% 6.55/4.71 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v1(constB26)) | (~v102(constB26))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6051,plain,
% 6.55/4.71 ((~((~v1(constB26)) | (~v102(constB26)))) | (~v102(constB26))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6050, 6049])).
% 6.55/4.71 tff(6052,plain,
% 6.55/4.71 (~((~v1(constB26)) | (~v102(constB26)))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6051, 6046])).
% 6.55/4.71 tff(6053,plain,
% 6.55/4.71 ((~(v101(constB26) <=> (~((~v1(constB26)) | (~v102(constB26)))))) | v101(constB26) | ((~v1(constB26)) | (~v102(constB26)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6054,plain,
% 6.55/4.71 (v101(constB26)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6053, 6052, 6033])).
% 6.55/4.71 tff(6055,plain,
% 6.55/4.71 (((~![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)))),
% 6.55/4.71 inference(rewrite,[status(thm)],[])).
% 6.55/4.71 tff(6056,plain,
% 6.55/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25)))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6057,plain,
% 6.55/4.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB25, constB26)) | (v110(constB26) <=> v108(constB25))),
% 6.55/4.71 inference(modus_ponens,[status(thm)],[6056, 6055])).
% 6.55/4.71 tff(6058,plain,
% 6.55/4.71 (v110(constB26) <=> v108(constB25)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6057, 3062, 4007])).
% 6.55/4.71 tff(6059,plain,
% 6.55/4.71 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB25) <=> (v111(constB25) | v112(constB25)))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6060,plain,
% 6.55/4.71 (v108(constB25) <=> (v111(constB25) | v112(constB25))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6059, 4018])).
% 6.55/4.71 tff(6061,plain,
% 6.55/4.71 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6062,plain,
% 6.55/4.71 (v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25))))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6061, 4030])).
% 6.55/4.71 tff(6063,plain,
% 6.55/4.71 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB25) <=> (v114(constB25) | v125(constB25)))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6064,plain,
% 6.55/4.71 (v113(constB25) <=> (v114(constB25) | v125(constB25))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6063, 4039])).
% 6.55/4.71 tff(6065,plain,
% 6.55/4.71 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6066,plain,
% 6.55/4.71 (v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2))))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6065, 5129])).
% 6.55/4.71 tff(6067,plain,
% 6.55/4.71 ((((~v90(constB25, bitIndex1)) <=> v90(constB24, bitIndex1)) | ((~v90(constB25, bitIndex2)) <=> v90(constB24, bitIndex2)) | ((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))) | (~((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6068,plain,
% 6.55/4.71 (~((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6067, 3118])).
% 6.55/4.71 tff(6069,plain,
% 6.55/4.71 ((((~v129(constB24, bitIndex2)) <=> v127(constB23, bitIndex2)) | ((~v129(constB24, bitIndex1)) <=> v127(constB23, bitIndex1)) | ((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0))) | (~((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6070,plain,
% 6.55/4.71 (~((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6069, 3127])).
% 6.55/4.71 tff(6071,plain,
% 6.55/4.71 ((((~v127(constB23, bitIndex2)) <=> v130(constB23, bitIndex2)) | ((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)) | ((~v127(constB23, bitIndex1)) <=> v130(constB23, bitIndex1))) | (~((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6072,plain,
% 6.55/4.71 (~((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6071, 3141])).
% 6.55/4.71 tff(6073,plain,
% 6.55/4.71 ((v130(constB23, bitIndex0) | (~v130(constB23, bitIndex2)) | (~v130(constB23, bitIndex1))) | (~v130(constB23, bitIndex0))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6074,plain,
% 6.55/4.71 (~v130(constB23, bitIndex0)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6073, 5844])).
% 6.55/4.71 tff(6075,plain,
% 6.55/4.71 (((~v127(constB23, bitIndex0)) <=> v130(constB23, bitIndex0)) | (~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6076,plain,
% 6.55/4.71 (~v127(constB23, bitIndex0)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6075, 6074, 6072])).
% 6.55/4.71 tff(6077,plain,
% 6.55/4.71 (((~v129(constB24, bitIndex0)) <=> v127(constB23, bitIndex0)) | (~v129(constB24, bitIndex0)) | v127(constB23, bitIndex0)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6078,plain,
% 6.55/4.71 (~v129(constB24, bitIndex0)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6077, 6076, 6070])).
% 6.55/4.71 tff(6079,plain,
% 6.55/4.71 ((((~v90(constB24, bitIndex2)) <=> v129(constB24, bitIndex2)) | ((~v90(constB24, bitIndex1)) <=> v129(constB24, bitIndex1)) | ((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0))) | (~((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6080,plain,
% 6.55/4.71 (~((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6079, 5927])).
% 6.55/4.71 tff(6081,plain,
% 6.55/4.71 (((~v90(constB24, bitIndex0)) <=> v129(constB24, bitIndex0)) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6082,plain,
% 6.55/4.71 (~v90(constB24, bitIndex0)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6081, 6080, 6078])).
% 6.55/4.71 tff(6083,plain,
% 6.55/4.71 (((~v90(constB25, bitIndex0)) <=> v90(constB24, bitIndex0)) | (~v90(constB25, bitIndex0)) | v90(constB24, bitIndex0)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6084,plain,
% 6.55/4.71 (~v90(constB25, bitIndex0)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6083, 6082, 6068])).
% 6.55/4.71 tff(6085,plain,
% 6.55/4.71 ((~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6086,plain,
% 6.55/4.71 (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6085, 5962, 6084, 5933])).
% 6.55/4.71 tff(6087,plain,
% 6.55/4.71 ((~(v125(constB25) <=> (~(v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))))) | v125(constB25) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6088,plain,
% 6.55/4.71 (v125(constB25)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6087, 6086, 6066])).
% 6.55/4.71 tff(6089,plain,
% 6.55/4.71 ((v114(constB25) | v125(constB25)) | (~v125(constB25))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6090,plain,
% 6.55/4.71 (v114(constB25) | v125(constB25)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6089, 6088])).
% 6.55/4.71 tff(6091,plain,
% 6.55/4.71 ((~(v113(constB25) <=> (v114(constB25) | v125(constB25)))) | v113(constB25) | (~(v114(constB25) | v125(constB25)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6092,plain,
% 6.55/4.71 (v113(constB25)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6091, 6090, 6064])).
% 6.55/4.71 tff(6093,plain,
% 6.55/4.71 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB25)) <=> v111(constB25))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6094,plain,
% 6.55/4.71 ((~v126(constB25)) <=> v111(constB25)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6093, 4118])).
% 6.55/4.71 tff(6095,plain,
% 6.55/4.71 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25) | v111(constB25)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6096,plain,
% 6.55/4.71 ((~((~v126(constB25)) <=> v111(constB25))) | v126(constB25)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6095, 3075])).
% 6.55/4.71 tff(6097,plain,
% 6.55/4.71 (v126(constB25)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6096, 6094])).
% 6.55/4.71 tff(6098,plain,
% 6.55/4.71 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25)) | (~v126(constB25))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6099,plain,
% 6.55/4.71 ((~((~v113(constB25)) | (~v126(constB25)))) | (~v113(constB25))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6098, 6097])).
% 6.55/4.71 tff(6100,plain,
% 6.55/4.71 (~((~v113(constB25)) | (~v126(constB25)))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6099, 6092])).
% 6.55/4.71 tff(6101,plain,
% 6.55/4.71 ((~(v112(constB25) <=> (~((~v113(constB25)) | (~v126(constB25)))))) | v112(constB25) | ((~v113(constB25)) | (~v126(constB25)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6102,plain,
% 6.55/4.71 (v112(constB25)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6101, 6100, 6062])).
% 6.55/4.71 tff(6103,plain,
% 6.55/4.71 ((v111(constB25) | v112(constB25)) | (~v112(constB25))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6104,plain,
% 6.55/4.71 (v111(constB25) | v112(constB25)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6103, 6102])).
% 6.55/4.71 tff(6105,plain,
% 6.55/4.71 ((~(v108(constB25) <=> (v111(constB25) | v112(constB25)))) | v108(constB25) | (~(v111(constB25) | v112(constB25)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6106,plain,
% 6.55/4.71 (v108(constB25)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6105, 6104, 6060])).
% 6.55/4.71 tff(6107,plain,
% 6.55/4.71 ((~(v110(constB26) <=> v108(constB25))) | v110(constB26) | (~v108(constB25))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6108,plain,
% 6.55/4.71 (v110(constB26)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6107, 6106, 6058])).
% 6.55/4.71 tff(6109,plain,
% 6.55/4.71 ((~((~v101(constB26)) | (~v110(constB26)))) | (~v101(constB26)) | (~v110(constB26))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6110,plain,
% 6.55/4.71 (~((~v101(constB26)) | (~v110(constB26)))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6109, 6108, 6054])).
% 6.55/4.71 tff(6111,plain,
% 6.55/4.71 ((~(v100(constB26) <=> (~((~v101(constB26)) | (~v110(constB26)))))) | v100(constB26) | ((~v101(constB26)) | (~v110(constB26)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6112,plain,
% 6.55/4.71 (v100(constB26)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6111, 6110, 6026])).
% 6.55/4.71 tff(6113,plain,
% 6.55/4.71 (((~![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)))))),
% 6.55/4.71 inference(rewrite,[status(thm)],[])).
% 6.55/4.71 tff(6114,plain,
% 6.55/4.71 (((~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)))))),
% 6.55/4.71 inference(rewrite,[status(thm)],[])).
% 6.55/4.71 tff(6115,plain,
% 6.55/4.71 (((~![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))))))),
% 6.55/4.71 inference(monotonicity,[status(thm)],[6114])).
% 6.55/4.71 tff(6116,plain,
% 6.55/4.71 (((~![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)))))),
% 6.55/4.71 inference(transitivity,[status(thm)],[6115, 6113])).
% 6.55/4.71 tff(6117,plain,
% 6.55/4.71 ((~![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)))))),
% 6.55/4.71 inference(quant_inst,[status(thm)],[])).
% 6.55/4.71 tff(6118,plain,
% 6.55/4.71 ((~![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))))),
% 6.55/4.71 inference(modus_ponens,[status(thm)],[6117, 6116])).
% 6.55/4.71 tff(6119,plain,
% 6.55/4.71 ((~v100(constB26)) | (~(((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6118, 4151])).
% 6.55/4.71 tff(6120,plain,
% 6.55/4.71 (~(((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6119, 6112])).
% 6.55/4.71 tff(6121,plain,
% 6.55/4.71 ((((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))) | (~((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6122,plain,
% 6.55/4.71 (~((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6121, 6120])).
% 6.55/4.71 tff(6123,plain,
% 6.55/4.71 (((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6124,plain,
% 6.55/4.71 (~v90(constB26, bitIndex2)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6123, 6122, 6022])).
% 6.55/4.71 tff(6125,plain,
% 6.55/4.71 (((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | (~v90(constB27, bitIndex2)) | v90(constB26, bitIndex2)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6126,plain,
% 6.55/4.71 (~v90(constB27, bitIndex2)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6125, 6124, 3059])).
% 6.55/4.71 tff(6127,plain,
% 6.55/4.71 ((((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))) | (~((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6128,plain,
% 6.55/4.71 (~((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6127, 3057])).
% 6.55/4.71 tff(6129,plain,
% 6.55/4.71 ((((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0))) | (~((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6130,plain,
% 6.55/4.71 (~((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6129, 3066])).
% 6.55/4.71 tff(6131,plain,
% 6.55/4.71 ((((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1))) | (~((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6132,plain,
% 6.55/4.71 (~((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6131, 3080])).
% 6.55/4.71 tff(6133,plain,
% 6.55/4.71 ((v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))) | v130(constB25, bitIndex0)),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6134,plain,
% 6.55/4.71 (v130(constB25, bitIndex0)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6133, 6016])).
% 6.55/4.71 tff(6135,plain,
% 6.55/4.71 (((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)) | v127(constB25, bitIndex0) | (~v130(constB25, bitIndex0))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6136,plain,
% 6.55/4.71 (v127(constB25, bitIndex0)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6135, 6134, 6132])).
% 6.55/4.71 tff(6137,plain,
% 6.55/4.71 (((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0)) | v129(constB26, bitIndex0) | (~v127(constB25, bitIndex0))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6138,plain,
% 6.55/4.71 (v129(constB26, bitIndex0)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6137, 6136, 6130])).
% 6.55/4.71 tff(6139,plain,
% 6.55/4.71 ((((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))) | (~((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6140,plain,
% 6.55/4.71 (~((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6139, 6120])).
% 6.55/4.71 tff(6141,plain,
% 6.55/4.71 (((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6142,plain,
% 6.55/4.71 (v90(constB26, bitIndex0)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6141, 6140, 6138])).
% 6.55/4.71 tff(6143,plain,
% 6.55/4.71 (((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0)) | v90(constB27, bitIndex0) | (~v90(constB26, bitIndex0))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6144,plain,
% 6.55/4.71 (v90(constB27, bitIndex0)),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6143, 6142, 6128])).
% 6.55/4.71 tff(6145,plain,
% 6.55/4.71 ((((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | ((~v90(constB27, bitIndex2)) <=> v90(constB26, bitIndex2)) | ((~v90(constB27, bitIndex0)) <=> v90(constB26, bitIndex0))) | (~((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)))),
% 6.55/4.71 inference(tautology,[status(thm)],[])).
% 6.55/4.71 tff(6146,plain,
% 6.55/4.71 (~((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1))),
% 6.55/4.71 inference(unit_resolution,[status(thm)],[6145, 3057])).
% 6.55/4.71 tff(6147,plain,
% 6.55/4.71 ((((~v129(constB26, bitIndex2)) <=> v127(constB25, bitIndex2)) | ((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | ((~v129(constB26, bitIndex0)) <=> v127(constB25, bitIndex0))) | (~((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)))),
% 6.55/4.72 inference(tautology,[status(thm)],[])).
% 6.55/4.72 tff(6148,plain,
% 6.55/4.72 (~((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1))),
% 6.55/4.72 inference(unit_resolution,[status(thm)],[6147, 3066])).
% 6.55/4.72 tff(6149,plain,
% 6.55/4.72 ((((~v127(constB25, bitIndex2)) <=> v130(constB25, bitIndex2)) | ((~v127(constB25, bitIndex0)) <=> v130(constB25, bitIndex0)) | ((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1))) | (~((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)))),
% 6.55/4.72 inference(tautology,[status(thm)],[])).
% 6.55/4.72 tff(6150,plain,
% 6.55/4.72 (~((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1))),
% 6.55/4.72 inference(unit_resolution,[status(thm)],[6149, 3080])).
% 6.55/4.72 tff(6151,plain,
% 6.55/4.72 ((v130(constB25, bitIndex2) | v130(constB25, bitIndex1) | (~v130(constB25, bitIndex0))) | (~v130(constB25, bitIndex1))),
% 6.55/4.72 inference(tautology,[status(thm)],[])).
% 6.55/4.72 tff(6152,plain,
% 6.55/4.72 (~v130(constB25, bitIndex1)),
% 6.55/4.72 inference(unit_resolution,[status(thm)],[6151, 6016])).
% 6.55/4.72 tff(6153,plain,
% 6.55/4.72 (((~v127(constB25, bitIndex1)) <=> v130(constB25, bitIndex1)) | (~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 6.55/4.72 inference(tautology,[status(thm)],[])).
% 6.55/4.72 tff(6154,plain,
% 6.55/4.72 (~v127(constB25, bitIndex1)),
% 6.55/4.72 inference(unit_resolution,[status(thm)],[6153, 6152, 6150])).
% 6.55/4.72 tff(6155,plain,
% 6.55/4.72 (((~v129(constB26, bitIndex1)) <=> v127(constB25, bitIndex1)) | (~v129(constB26, bitIndex1)) | v127(constB25, bitIndex1)),
% 6.55/4.72 inference(tautology,[status(thm)],[])).
% 6.55/4.72 tff(6156,plain,
% 6.55/4.72 (~v129(constB26, bitIndex1)),
% 6.55/4.72 inference(unit_resolution,[status(thm)],[6155, 6154, 6148])).
% 6.55/4.72 tff(6157,plain,
% 6.55/4.72 ((((~v90(constB26, bitIndex0)) <=> v129(constB26, bitIndex0)) | ((~v90(constB26, bitIndex2)) <=> v129(constB26, bitIndex2)) | ((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))) | (~((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)))),
% 6.55/4.72 inference(tautology,[status(thm)],[])).
% 6.55/4.72 tff(6158,plain,
% 6.55/4.72 (~((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1))),
% 6.55/4.72 inference(unit_resolution,[status(thm)],[6157, 6120])).
% 6.55/4.72 tff(6159,plain,
% 6.55/4.72 (((~v90(constB26, bitIndex1)) <=> v129(constB26, bitIndex1)) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1)),
% 6.55/4.72 inference(tautology,[status(thm)],[])).
% 6.55/4.72 tff(6160,plain,
% 6.55/4.72 (~v90(constB26, bitIndex1)),
% 6.55/4.72 inference(unit_resolution,[status(thm)],[6159, 6158, 6156])).
% 6.55/4.72 tff(6161,plain,
% 6.55/4.72 (((~v90(constB27, bitIndex1)) <=> v90(constB26, bitIndex1)) | (~v90(constB27, bitIndex1)) | v90(constB26, bitIndex1)),
% 6.55/4.72 inference(tautology,[status(thm)],[])).
% 6.55/4.72 tff(6162,plain,
% 6.55/4.72 (~v90(constB27, bitIndex1)),
% 6.55/4.72 inference(unit_resolution,[status(thm)],[6161, 6160, 6146])).
% 6.55/4.72 tff(6163,plain,
% 6.55/4.72 ((~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0))),
% 6.55/4.72 inference(tautology,[status(thm)],[])).
% 6.55/4.72 tff(6164,plain,
% 6.55/4.72 (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))),
% 6.55/4.72 inference(unit_resolution,[status(thm)],[6163, 6162, 6144, 6126])).
% 6.55/4.72 tff(6165,plain,
% 6.55/4.72 ((~(v120(constB27) <=> (~(v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))))) | v120(constB27) | (v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | (~v90(constB27, bitIndex0)))),
% 6.55/4.72 inference(tautology,[status(thm)],[])).
% 6.55/4.72 tff(6166,plain,
% 6.55/4.72 (v120(constB27)),
% 6.55/4.72 inference(unit_resolution,[status(thm)],[6165, 6164, 3023])).
% 6.55/4.72 tff(6167,plain,
% 6.55/4.72 (((~![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)))))),
% 6.61/4.72 inference(rewrite,[status(thm)],[])).
% 6.61/4.72 tff(6168,plain,
% 6.61/4.72 (((~v120(constB27)) | (~(v130(constB27, bitIndex0) | v130(constB27, bitIndex2) | (~v130(constB27, bitIndex1))))) <=> ((~v120(constB27)) | (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1)))))),
% 6.61/4.72 inference(rewrite,[status(thm)],[])).
% 6.61/4.72 tff(6169,plain,
% 6.61/4.72 (((~![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))))))),
% 6.61/4.72 inference(monotonicity,[status(thm)],[6168])).
% 6.61/4.72 tff(6170,plain,
% 6.61/4.72 (((~![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)))))),
% 6.61/4.72 inference(transitivity,[status(thm)],[6169, 6167])).
% 6.61/4.72 tff(6171,plain,
% 6.61/4.72 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB27)) | (~(v130(constB27, bitIndex0) | v130(constB27, bitIndex2) | (~v130(constB27, bitIndex1)))))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6172,plain,
% 6.61/4.72 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB27)) | (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1))))),
% 6.61/4.72 inference(modus_ponens,[status(thm)],[6171, 6170])).
% 6.61/4.72 tff(6173,plain,
% 6.61/4.72 ((~v120(constB27)) | (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1))))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6172, 4218])).
% 6.61/4.72 tff(6174,plain,
% 6.61/4.72 (~(v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1)))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6173, 6166])).
% 6.61/4.72 tff(6175,plain,
% 6.61/4.72 ((v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1))) | (~v130(constB27, bitIndex2))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6176,plain,
% 6.61/4.72 (~v130(constB27, bitIndex2)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6175, 6174])).
% 6.61/4.72 tff(6177,plain,
% 6.61/4.72 (((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | (~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6178,plain,
% 6.61/4.72 (~v127(constB27, bitIndex2)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6177, 6176, 3021])).
% 6.61/4.72 tff(6179,plain,
% 6.61/4.72 (((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | (~v129(constB28, bitIndex2)) | v127(constB27, bitIndex2)),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6180,plain,
% 6.61/4.72 (~v129(constB28, bitIndex2)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6179, 6178, 3007])).
% 6.61/4.72 tff(6181,plain,
% 6.61/4.72 (((~![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))))))),
% 6.61/4.72 inference(rewrite,[status(thm)],[])).
% 6.61/4.72 tff(6182,plain,
% 6.61/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6183,plain,
% 6.61/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB27, constB28)) | (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))),
% 6.61/4.72 inference(modus_ponens,[status(thm)],[6182, 6181])).
% 6.61/4.72 tff(6184,plain,
% 6.61/4.72 (v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28))))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6183, 3001, 433])).
% 6.61/4.72 tff(6185,plain,
% 6.61/4.72 (((~![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))))))),
% 6.61/4.72 inference(rewrite,[status(thm)],[])).
% 6.61/4.72 tff(6186,plain,
% 6.61/4.72 (((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28)))))) <=> ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))))),
% 6.61/4.72 inference(rewrite,[status(thm)],[])).
% 6.61/4.72 tff(6187,plain,
% 6.61/4.72 (((~![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)))))))),
% 6.61/4.72 inference(monotonicity,[status(thm)],[6186])).
% 6.61/4.72 tff(6188,plain,
% 6.61/4.72 (((~![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))))))),
% 6.61/4.72 inference(transitivity,[status(thm)],[6187, 6185])).
% 6.61/4.72 tff(6189,plain,
% 6.61/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v102(constB28)) | (~v1(constB28))))))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6190,plain,
% 6.61/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))),
% 6.61/4.72 inference(modus_ponens,[status(thm)],[6189, 6188])).
% 6.61/4.72 tff(6191,plain,
% 6.61/4.72 (v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28))))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6190, 3001, 453])).
% 6.61/4.72 tff(6192,plain,
% 6.61/4.72 (((~![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)))),
% 6.61/4.72 inference(rewrite,[status(thm)],[])).
% 6.61/4.72 tff(6193,plain,
% 6.61/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28)))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6194,plain,
% 6.61/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB27, constB28)) | ((~v102(constB28)) <=> v104(constB28))),
% 6.61/4.72 inference(modus_ponens,[status(thm)],[6193, 6192])).
% 6.61/4.72 tff(6195,plain,
% 6.61/4.72 ((~v102(constB28)) <=> v104(constB28)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6194, 3001, 3966])).
% 6.61/4.72 tff(6196,plain,
% 6.61/4.72 (((~![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)))),
% 6.61/4.72 inference(rewrite,[status(thm)],[])).
% 6.61/4.72 tff(6197,plain,
% 6.61/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27)))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6198,plain,
% 6.61/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v1(constB27))),
% 6.61/4.72 inference(modus_ponens,[status(thm)],[6197, 6196])).
% 6.61/4.72 tff(6199,plain,
% 6.61/4.72 (v104(constB28) <=> v1(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6198, 3001, 3980])).
% 6.61/4.72 tff(6200,plain,
% 6.61/4.72 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28)) | v1(constB27)),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6201,plain,
% 6.61/4.72 ((~(v104(constB28) <=> v1(constB27))) | (~v104(constB28))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6200, 3040])).
% 6.61/4.72 tff(6202,plain,
% 6.61/4.72 (~v104(constB28)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6201, 6199])).
% 6.61/4.72 tff(6203,plain,
% 6.61/4.72 ((~((~v102(constB28)) <=> v104(constB28))) | v102(constB28) | v104(constB28)),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6204,plain,
% 6.61/4.72 (v102(constB28)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6203, 6202, 6195])).
% 6.61/4.72 tff(6205,plain,
% 6.61/4.72 (v1(constB28) <=> v1(constB28)),
% 6.61/4.72 inference(rewrite,[status(thm)],[])).
% 6.61/4.72 tff(6206,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28')).
% 6.61/4.72 tff(6207,plain,
% 6.61/4.72 (v1(constB28)),
% 6.61/4.72 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 6.61/4.72 tff(6208,plain,
% 6.61/4.72 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v1(constB28)) | (~v102(constB28))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6209,plain,
% 6.61/4.72 ((~((~v1(constB28)) | (~v102(constB28)))) | (~v102(constB28))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6208, 6207])).
% 6.61/4.72 tff(6210,plain,
% 6.61/4.72 (~((~v1(constB28)) | (~v102(constB28)))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6209, 6204])).
% 6.61/4.72 tff(6211,plain,
% 6.61/4.72 ((~(v101(constB28) <=> (~((~v1(constB28)) | (~v102(constB28)))))) | v101(constB28) | ((~v1(constB28)) | (~v102(constB28)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6212,plain,
% 6.61/4.72 (v101(constB28)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6211, 6210, 6191])).
% 6.61/4.72 tff(6213,plain,
% 6.61/4.72 (((~![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)))),
% 6.61/4.72 inference(rewrite,[status(thm)],[])).
% 6.61/4.72 tff(6214,plain,
% 6.61/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27)))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6215,plain,
% 6.61/4.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB27, constB28)) | (v110(constB28) <=> v108(constB27))),
% 6.61/4.72 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 6.61/4.72 tff(6216,plain,
% 6.61/4.72 (v110(constB28) <=> v108(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6215, 3001, 4007])).
% 6.61/4.72 tff(6217,plain,
% 6.61/4.72 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB27) <=> (v111(constB27) | v112(constB27)))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6218,plain,
% 6.61/4.72 (v108(constB27) <=> (v111(constB27) | v112(constB27))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6217, 4018])).
% 6.61/4.72 tff(6219,plain,
% 6.61/4.72 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6220,plain,
% 6.61/4.72 (v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27))))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6219, 4030])).
% 6.61/4.72 tff(6221,plain,
% 6.61/4.72 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB27) <=> (v114(constB27) | v125(constB27)))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6222,plain,
% 6.61/4.72 (v113(constB27) <=> (v114(constB27) | v125(constB27))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6221, 4039])).
% 6.61/4.72 tff(6223,plain,
% 6.61/4.72 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB27) <=> (v115(constB27) | v124(constB27)))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6224,plain,
% 6.61/4.72 (v114(constB27) <=> (v115(constB27) | v124(constB27))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6223, 4048])).
% 6.61/4.72 tff(6225,plain,
% 6.61/4.72 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB27) <=> (v116(constB27) | v123(constB27)))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6226,plain,
% 6.61/4.72 (v115(constB27) <=> (v116(constB27) | v123(constB27))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6225, 4057])).
% 6.61/4.72 tff(6227,plain,
% 6.61/4.72 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB27) <=> (v117(constB27) | v122(constB27)))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6228,plain,
% 6.61/4.72 (v116(constB27) <=> (v117(constB27) | v122(constB27))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6227, 4066])).
% 6.61/4.72 tff(6229,plain,
% 6.61/4.72 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB27) <=> (v118(constB27) | v121(constB27)))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6230,plain,
% 6.61/4.72 (v117(constB27) <=> (v118(constB27) | v121(constB27))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6229, 4075])).
% 6.61/4.72 tff(6231,plain,
% 6.61/4.72 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB27) <=> (v119(constB27) | v120(constB27)))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6232,plain,
% 6.61/4.72 (v118(constB27) <=> (v119(constB27) | v120(constB27))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6231, 4084])).
% 6.61/4.72 tff(6233,plain,
% 6.61/4.72 ((v119(constB27) | v120(constB27)) | (~v120(constB27))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6234,plain,
% 6.61/4.72 (v119(constB27) | v120(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6233, 6166])).
% 6.61/4.72 tff(6235,plain,
% 6.61/4.72 ((~(v118(constB27) <=> (v119(constB27) | v120(constB27)))) | v118(constB27) | (~(v119(constB27) | v120(constB27)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6236,plain,
% 6.61/4.72 (v118(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6235, 6234, 6232])).
% 6.61/4.72 tff(6237,plain,
% 6.61/4.72 ((v118(constB27) | v121(constB27)) | (~v118(constB27))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6238,plain,
% 6.61/4.72 (v118(constB27) | v121(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6237, 6236])).
% 6.61/4.72 tff(6239,plain,
% 6.61/4.72 ((~(v117(constB27) <=> (v118(constB27) | v121(constB27)))) | v117(constB27) | (~(v118(constB27) | v121(constB27)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6240,plain,
% 6.61/4.72 (v117(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6239, 6238, 6230])).
% 6.61/4.72 tff(6241,plain,
% 6.61/4.72 ((v117(constB27) | v122(constB27)) | (~v117(constB27))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6242,plain,
% 6.61/4.72 (v117(constB27) | v122(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6241, 6240])).
% 6.61/4.72 tff(6243,plain,
% 6.61/4.72 ((~(v116(constB27) <=> (v117(constB27) | v122(constB27)))) | v116(constB27) | (~(v117(constB27) | v122(constB27)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6244,plain,
% 6.61/4.72 (v116(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6243, 6242, 6228])).
% 6.61/4.72 tff(6245,plain,
% 6.61/4.72 ((v116(constB27) | v123(constB27)) | (~v116(constB27))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6246,plain,
% 6.61/4.72 (v116(constB27) | v123(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6245, 6244])).
% 6.61/4.72 tff(6247,plain,
% 6.61/4.72 ((~(v115(constB27) <=> (v116(constB27) | v123(constB27)))) | v115(constB27) | (~(v116(constB27) | v123(constB27)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6248,plain,
% 6.61/4.72 (v115(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6247, 6246, 6226])).
% 6.61/4.72 tff(6249,plain,
% 6.61/4.72 ((v115(constB27) | v124(constB27)) | (~v115(constB27))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6250,plain,
% 6.61/4.72 (v115(constB27) | v124(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6249, 6248])).
% 6.61/4.72 tff(6251,plain,
% 6.61/4.72 ((~(v114(constB27) <=> (v115(constB27) | v124(constB27)))) | v114(constB27) | (~(v115(constB27) | v124(constB27)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6252,plain,
% 6.61/4.72 (v114(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6251, 6250, 6224])).
% 6.61/4.72 tff(6253,plain,
% 6.61/4.72 ((v114(constB27) | v125(constB27)) | (~v114(constB27))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6254,plain,
% 6.61/4.72 (v114(constB27) | v125(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6253, 6252])).
% 6.61/4.72 tff(6255,plain,
% 6.61/4.72 ((~(v113(constB27) <=> (v114(constB27) | v125(constB27)))) | v113(constB27) | (~(v114(constB27) | v125(constB27)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6256,plain,
% 6.61/4.72 (v113(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6255, 6254, 6222])).
% 6.61/4.72 tff(6257,plain,
% 6.61/4.72 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB27)) <=> v111(constB27))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6258,plain,
% 6.61/4.72 ((~v126(constB27)) <=> v111(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6257, 4118])).
% 6.61/4.72 tff(6259,plain,
% 6.61/4.72 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27) | v111(constB27)),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6260,plain,
% 6.61/4.72 ((~((~v126(constB27)) <=> v111(constB27))) | v126(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6259, 3014])).
% 6.61/4.72 tff(6261,plain,
% 6.61/4.72 (v126(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6260, 6258])).
% 6.61/4.72 tff(6262,plain,
% 6.61/4.72 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27)) | (~v126(constB27))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6263,plain,
% 6.61/4.72 ((~((~v113(constB27)) | (~v126(constB27)))) | (~v113(constB27))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6262, 6261])).
% 6.61/4.72 tff(6264,plain,
% 6.61/4.72 (~((~v113(constB27)) | (~v126(constB27)))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6263, 6256])).
% 6.61/4.72 tff(6265,plain,
% 6.61/4.72 ((~(v112(constB27) <=> (~((~v113(constB27)) | (~v126(constB27)))))) | v112(constB27) | ((~v113(constB27)) | (~v126(constB27)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6266,plain,
% 6.61/4.72 (v112(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6265, 6264, 6220])).
% 6.61/4.72 tff(6267,plain,
% 6.61/4.72 ((v111(constB27) | v112(constB27)) | (~v112(constB27))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6268,plain,
% 6.61/4.72 (v111(constB27) | v112(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6267, 6266])).
% 6.61/4.72 tff(6269,plain,
% 6.61/4.72 ((~(v108(constB27) <=> (v111(constB27) | v112(constB27)))) | v108(constB27) | (~(v111(constB27) | v112(constB27)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6270,plain,
% 6.61/4.72 (v108(constB27)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6269, 6268, 6218])).
% 6.61/4.72 tff(6271,plain,
% 6.61/4.72 ((~(v110(constB28) <=> v108(constB27))) | v110(constB28) | (~v108(constB27))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6272,plain,
% 6.61/4.72 (v110(constB28)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6271, 6270, 6216])).
% 6.61/4.72 tff(6273,plain,
% 6.61/4.72 ((~((~v101(constB28)) | (~v110(constB28)))) | (~v101(constB28)) | (~v110(constB28))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6274,plain,
% 6.61/4.72 (~((~v101(constB28)) | (~v110(constB28)))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6273, 6272, 6212])).
% 6.61/4.72 tff(6275,plain,
% 6.61/4.72 ((~(v100(constB28) <=> (~((~v101(constB28)) | (~v110(constB28)))))) | v100(constB28) | ((~v101(constB28)) | (~v110(constB28)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6276,plain,
% 6.61/4.72 (v100(constB28)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6275, 6274, 6184])).
% 6.61/4.72 tff(6277,plain,
% 6.61/4.72 (((~![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)))))),
% 6.61/4.72 inference(rewrite,[status(thm)],[])).
% 6.61/4.72 tff(6278,plain,
% 6.61/4.72 ((~![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)))))),
% 6.61/4.72 inference(quant_inst,[status(thm)],[])).
% 6.61/4.72 tff(6279,plain,
% 6.61/4.72 ((~![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))))),
% 6.61/4.72 inference(modus_ponens,[status(thm)],[6278, 6277])).
% 6.61/4.72 tff(6280,plain,
% 6.61/4.72 ((~v100(constB28)) | (~(((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0))))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6279, 4151])).
% 6.61/4.72 tff(6281,plain,
% 6.61/4.72 (~(((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0)))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6280, 6276])).
% 6.61/4.72 tff(6282,plain,
% 6.61/4.72 ((((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0))) | (~((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6283,plain,
% 6.61/4.72 (~((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6282, 6281])).
% 6.61/4.72 tff(6284,plain,
% 6.61/4.72 (((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2)),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6285,plain,
% 6.61/4.72 (~v90(constB28, bitIndex2)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6284, 6283, 6180])).
% 6.61/4.72 tff(6286,plain,
% 6.61/4.72 (((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | (~v90(constB29, bitIndex2)) | v90(constB28, bitIndex2)),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6287,plain,
% 6.61/4.72 (~v90(constB29, bitIndex2)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6286, 6285, 2998])).
% 6.61/4.72 tff(6288,plain,
% 6.61/4.72 ((((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))) | (~((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6289,plain,
% 6.61/4.72 (~((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6288, 2996])).
% 6.61/4.72 tff(6290,plain,
% 6.61/4.72 ((((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0))) | (~((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6291,plain,
% 6.61/4.72 (~((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6290, 3005])).
% 6.61/4.72 tff(6292,plain,
% 6.61/4.72 ((((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1))) | (~((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6293,plain,
% 6.61/4.72 (~((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6292, 3019])).
% 6.61/4.72 tff(6294,plain,
% 6.61/4.72 ((v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1))) | (~v130(constB27, bitIndex0))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6295,plain,
% 6.61/4.72 (~v130(constB27, bitIndex0)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6294, 6174])).
% 6.61/4.72 tff(6296,plain,
% 6.61/4.72 (((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)) | (~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6297,plain,
% 6.61/4.72 (~v127(constB27, bitIndex0)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6296, 6295, 6293])).
% 6.61/4.72 tff(6298,plain,
% 6.61/4.72 (((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0)) | (~v129(constB28, bitIndex0)) | v127(constB27, bitIndex0)),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6299,plain,
% 6.61/4.72 (~v129(constB28, bitIndex0)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6298, 6297, 6291])).
% 6.61/4.72 tff(6300,plain,
% 6.61/4.72 ((((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0))) | (~((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6301,plain,
% 6.61/4.72 (~((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6300, 6281])).
% 6.61/4.72 tff(6302,plain,
% 6.61/4.72 (((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0)) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0)),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6303,plain,
% 6.61/4.72 (~v90(constB28, bitIndex0)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6302, 6301, 6299])).
% 6.61/4.72 tff(6304,plain,
% 6.61/4.72 (((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0)) | (~v90(constB29, bitIndex0)) | v90(constB28, bitIndex0)),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6305,plain,
% 6.61/4.72 (~v90(constB29, bitIndex0)),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6304, 6303, 6289])).
% 6.61/4.72 tff(6306,plain,
% 6.61/4.72 ((((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | ((~v90(constB29, bitIndex2)) <=> v90(constB28, bitIndex2)) | ((~v90(constB29, bitIndex0)) <=> v90(constB28, bitIndex0))) | (~((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6307,plain,
% 6.61/4.72 (~((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6306, 2996])).
% 6.61/4.72 tff(6308,plain,
% 6.61/4.72 ((((~v129(constB28, bitIndex2)) <=> v127(constB27, bitIndex2)) | ((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | ((~v129(constB28, bitIndex0)) <=> v127(constB27, bitIndex0))) | (~((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)))),
% 6.61/4.72 inference(tautology,[status(thm)],[])).
% 6.61/4.72 tff(6309,plain,
% 6.61/4.72 (~((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1))),
% 6.61/4.72 inference(unit_resolution,[status(thm)],[6308, 3005])).
% 6.61/4.72 tff(6310,plain,
% 6.61/4.72 ((((~v127(constB27, bitIndex2)) <=> v130(constB27, bitIndex2)) | ((~v127(constB27, bitIndex0)) <=> v130(constB27, bitIndex0)) | ((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1))) | (~((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6311,plain,
% 6.61/4.73 (~((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6310, 3019])).
% 6.61/4.73 tff(6312,plain,
% 6.61/4.73 ((v130(constB27, bitIndex2) | v130(constB27, bitIndex0) | (~v130(constB27, bitIndex1))) | v130(constB27, bitIndex1)),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6313,plain,
% 6.61/4.73 (v130(constB27, bitIndex1)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6312, 6174])).
% 6.61/4.73 tff(6314,plain,
% 6.61/4.73 (((~v127(constB27, bitIndex1)) <=> v130(constB27, bitIndex1)) | v127(constB27, bitIndex1) | (~v130(constB27, bitIndex1))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6315,plain,
% 6.61/4.73 (v127(constB27, bitIndex1)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6314, 6313, 6311])).
% 6.61/4.73 tff(6316,plain,
% 6.61/4.73 (((~v129(constB28, bitIndex1)) <=> v127(constB27, bitIndex1)) | v129(constB28, bitIndex1) | (~v127(constB27, bitIndex1))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6317,plain,
% 6.61/4.73 (v129(constB28, bitIndex1)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6316, 6315, 6309])).
% 6.61/4.73 tff(6318,plain,
% 6.61/4.73 ((((~v90(constB28, bitIndex2)) <=> v129(constB28, bitIndex2)) | ((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | ((~v90(constB28, bitIndex0)) <=> v129(constB28, bitIndex0))) | (~((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6319,plain,
% 6.61/4.73 (~((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6318, 6281])).
% 6.61/4.73 tff(6320,plain,
% 6.61/4.73 (((~v90(constB28, bitIndex1)) <=> v129(constB28, bitIndex1)) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6321,plain,
% 6.61/4.73 (v90(constB28, bitIndex1)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6320, 6319, 6317])).
% 6.61/4.73 tff(6322,plain,
% 6.61/4.73 (((~v90(constB29, bitIndex1)) <=> v90(constB28, bitIndex1)) | v90(constB29, bitIndex1) | (~v90(constB28, bitIndex1))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6323,plain,
% 6.61/4.73 (v90(constB29, bitIndex1)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6322, 6321, 6307])).
% 6.61/4.73 tff(6324,plain,
% 6.61/4.73 ((~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))) | v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6325,plain,
% 6.61/4.73 (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6324, 6323, 6305, 6287])).
% 6.61/4.73 tff(6326,plain,
% 6.61/4.73 ((~(v121(constB29) <=> (~(v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))))) | v121(constB29) | (v90(constB29, bitIndex2) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6327,plain,
% 6.61/4.73 (v121(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6326, 6325, 2962])).
% 6.61/4.73 tff(6328,plain,
% 6.61/4.73 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex0)) | (~v130(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex0)) | (~v130(constB29, bitIndex1)))))),
% 6.61/4.73 inference(rewrite,[status(thm)],[])).
% 6.61/4.73 tff(6329,plain,
% 6.61/4.73 (((~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0))))) <=> ((~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex0)) | (~v130(constB29, bitIndex1)))))),
% 6.61/4.73 inference(rewrite,[status(thm)],[])).
% 6.61/4.73 tff(6330,plain,
% 6.61/4.73 (((~![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, bitIndex0)) | (~v130(constB29, bitIndex1))))))),
% 6.61/4.73 inference(monotonicity,[status(thm)],[6329])).
% 6.61/4.73 tff(6331,plain,
% 6.61/4.73 (((~![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, bitIndex0)) | (~v130(constB29, bitIndex1)))))),
% 6.61/4.73 inference(transitivity,[status(thm)],[6330, 6328])).
% 6.61/4.73 tff(6332,plain,
% 6.61/4.73 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex1)) | (~v130(constB29, bitIndex0)))))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6333,plain,
% 6.61/4.73 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex0)) | (~v130(constB29, bitIndex1))))),
% 6.61/4.73 inference(modus_ponens,[status(thm)],[6332, 6331])).
% 6.61/4.73 tff(6334,plain,
% 6.61/4.73 ((~v121(constB29)) | (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex0)) | (~v130(constB29, bitIndex1))))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6333, 4392])).
% 6.61/4.73 tff(6335,plain,
% 6.61/4.73 (~(v130(constB29, bitIndex2) | (~v130(constB29, bitIndex0)) | (~v130(constB29, bitIndex1)))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6334, 6327])).
% 6.61/4.73 tff(6336,plain,
% 6.61/4.73 ((v130(constB29, bitIndex2) | (~v130(constB29, bitIndex0)) | (~v130(constB29, bitIndex1))) | (~v130(constB29, bitIndex2))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6337,plain,
% 6.61/4.73 (~v130(constB29, bitIndex2)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6336, 6335])).
% 6.61/4.73 tff(6338,plain,
% 6.61/4.73 (((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | (~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6339,plain,
% 6.61/4.73 (~v127(constB29, bitIndex2)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6338, 6337, 2955])).
% 6.61/4.73 tff(6340,plain,
% 6.61/4.73 (((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | (~v129(constB30, bitIndex2)) | v127(constB29, bitIndex2)),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6341,plain,
% 6.61/4.73 (~v129(constB30, bitIndex2)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6340, 6339, 2941])).
% 6.61/4.73 tff(6342,plain,
% 6.61/4.73 (((~![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))))))),
% 6.61/4.73 inference(rewrite,[status(thm)],[])).
% 6.61/4.73 tff(6343,plain,
% 6.61/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6344,plain,
% 6.61/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB29, constB30)) | (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))),
% 6.61/4.73 inference(modus_ponens,[status(thm)],[6343, 6342])).
% 6.61/4.73 tff(6345,plain,
% 6.61/4.73 (v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30))))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6344, 2935, 433])).
% 6.61/4.73 tff(6346,plain,
% 6.61/4.73 (((~![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))))))),
% 6.61/4.73 inference(rewrite,[status(thm)],[])).
% 6.61/4.73 tff(6347,plain,
% 6.61/4.73 (((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30)))))) <=> ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))))),
% 6.61/4.73 inference(rewrite,[status(thm)],[])).
% 6.61/4.73 tff(6348,plain,
% 6.61/4.73 (((~![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)))))))),
% 6.61/4.73 inference(monotonicity,[status(thm)],[6347])).
% 6.61/4.73 tff(6349,plain,
% 6.61/4.73 (((~![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))))))),
% 6.61/4.73 inference(transitivity,[status(thm)],[6348, 6346])).
% 6.61/4.73 tff(6350,plain,
% 6.61/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v102(constB30)) | (~v1(constB30))))))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6351,plain,
% 6.61/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))),
% 6.61/4.73 inference(modus_ponens,[status(thm)],[6350, 6349])).
% 6.61/4.73 tff(6352,plain,
% 6.61/4.73 (v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30))))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6351, 2935, 453])).
% 6.61/4.73 tff(6353,plain,
% 6.61/4.73 (((~![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)))),
% 6.61/4.73 inference(rewrite,[status(thm)],[])).
% 6.61/4.73 tff(6354,plain,
% 6.61/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30)))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6355,plain,
% 6.61/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB29, constB30)) | ((~v102(constB30)) <=> v104(constB30))),
% 6.61/4.73 inference(modus_ponens,[status(thm)],[6354, 6353])).
% 6.61/4.73 tff(6356,plain,
% 6.61/4.73 ((~v102(constB30)) <=> v104(constB30)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6355, 2935, 3966])).
% 6.61/4.73 tff(6357,plain,
% 6.61/4.73 (((~![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)))),
% 6.61/4.73 inference(rewrite,[status(thm)],[])).
% 6.61/4.73 tff(6358,plain,
% 6.61/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29)))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6359,plain,
% 6.61/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v1(constB29))),
% 6.61/4.73 inference(modus_ponens,[status(thm)],[6358, 6357])).
% 6.61/4.73 tff(6360,plain,
% 6.61/4.73 (v104(constB30) <=> v1(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6359, 2935, 3980])).
% 6.61/4.73 tff(6361,plain,
% 6.61/4.73 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30)) | v1(constB29)),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6362,plain,
% 6.61/4.73 ((~(v104(constB30) <=> v1(constB29))) | (~v104(constB30))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6361, 2979])).
% 6.61/4.73 tff(6363,plain,
% 6.61/4.73 (~v104(constB30)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6362, 6360])).
% 6.61/4.73 tff(6364,plain,
% 6.61/4.73 ((~((~v102(constB30)) <=> v104(constB30))) | v102(constB30) | v104(constB30)),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6365,plain,
% 6.61/4.73 (v102(constB30)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6364, 6363, 6356])).
% 6.61/4.73 tff(6366,plain,
% 6.61/4.73 (v1(constB30) <=> v1(constB30)),
% 6.61/4.73 inference(rewrite,[status(thm)],[])).
% 6.61/4.73 tff(6367,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30')).
% 6.61/4.73 tff(6368,plain,
% 6.61/4.73 (v1(constB30)),
% 6.61/4.73 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 6.61/4.73 tff(6369,plain,
% 6.61/4.73 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v1(constB30)) | (~v102(constB30))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6370,plain,
% 6.61/4.73 ((~((~v1(constB30)) | (~v102(constB30)))) | (~v102(constB30))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6369, 6368])).
% 6.61/4.73 tff(6371,plain,
% 6.61/4.73 (~((~v1(constB30)) | (~v102(constB30)))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6370, 6365])).
% 6.61/4.73 tff(6372,plain,
% 6.61/4.73 ((~(v101(constB30) <=> (~((~v1(constB30)) | (~v102(constB30)))))) | v101(constB30) | ((~v1(constB30)) | (~v102(constB30)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6373,plain,
% 6.61/4.73 (v101(constB30)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6372, 6371, 6352])).
% 6.61/4.73 tff(6374,plain,
% 6.61/4.73 (((~![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)))),
% 6.61/4.73 inference(rewrite,[status(thm)],[])).
% 6.61/4.73 tff(6375,plain,
% 6.61/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29)))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6376,plain,
% 6.61/4.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB29, constB30)) | (v110(constB30) <=> v108(constB29))),
% 6.61/4.73 inference(modus_ponens,[status(thm)],[6375, 6374])).
% 6.61/4.73 tff(6377,plain,
% 6.61/4.73 (v110(constB30) <=> v108(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6376, 2935, 4007])).
% 6.61/4.73 tff(6378,plain,
% 6.61/4.73 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB29) <=> (v111(constB29) | v112(constB29)))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6379,plain,
% 6.61/4.73 (v108(constB29) <=> (v111(constB29) | v112(constB29))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6378, 4018])).
% 6.61/4.73 tff(6380,plain,
% 6.61/4.73 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6381,plain,
% 6.61/4.73 (v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29))))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6380, 4030])).
% 6.61/4.73 tff(6382,plain,
% 6.61/4.73 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB29) <=> (v114(constB29) | v125(constB29)))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6383,plain,
% 6.61/4.73 (v113(constB29) <=> (v114(constB29) | v125(constB29))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6382, 4039])).
% 6.61/4.73 tff(6384,plain,
% 6.61/4.73 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB29) <=> (v115(constB29) | v124(constB29)))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6385,plain,
% 6.61/4.73 (v114(constB29) <=> (v115(constB29) | v124(constB29))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6384, 4048])).
% 6.61/4.73 tff(6386,plain,
% 6.61/4.73 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB29) <=> (v116(constB29) | v123(constB29)))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6387,plain,
% 6.61/4.73 (v115(constB29) <=> (v116(constB29) | v123(constB29))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6386, 4057])).
% 6.61/4.73 tff(6388,plain,
% 6.61/4.73 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB29) <=> (v117(constB29) | v122(constB29)))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6389,plain,
% 6.61/4.73 (v116(constB29) <=> (v117(constB29) | v122(constB29))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6388, 4066])).
% 6.61/4.73 tff(6390,plain,
% 6.61/4.73 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB29) <=> (v118(constB29) | v121(constB29)))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6391,plain,
% 6.61/4.73 (v117(constB29) <=> (v118(constB29) | v121(constB29))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6390, 4075])).
% 6.61/4.73 tff(6392,plain,
% 6.61/4.73 ((v118(constB29) | v121(constB29)) | (~v121(constB29))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6393,plain,
% 6.61/4.73 (v118(constB29) | v121(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6392, 6327])).
% 6.61/4.73 tff(6394,plain,
% 6.61/4.73 ((~(v117(constB29) <=> (v118(constB29) | v121(constB29)))) | v117(constB29) | (~(v118(constB29) | v121(constB29)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6395,plain,
% 6.61/4.73 (v117(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6394, 6393, 6391])).
% 6.61/4.73 tff(6396,plain,
% 6.61/4.73 ((v117(constB29) | v122(constB29)) | (~v117(constB29))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6397,plain,
% 6.61/4.73 (v117(constB29) | v122(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6396, 6395])).
% 6.61/4.73 tff(6398,plain,
% 6.61/4.73 ((~(v116(constB29) <=> (v117(constB29) | v122(constB29)))) | v116(constB29) | (~(v117(constB29) | v122(constB29)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6399,plain,
% 6.61/4.73 (v116(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6398, 6397, 6389])).
% 6.61/4.73 tff(6400,plain,
% 6.61/4.73 ((v116(constB29) | v123(constB29)) | (~v116(constB29))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6401,plain,
% 6.61/4.73 (v116(constB29) | v123(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6400, 6399])).
% 6.61/4.73 tff(6402,plain,
% 6.61/4.73 ((~(v115(constB29) <=> (v116(constB29) | v123(constB29)))) | v115(constB29) | (~(v116(constB29) | v123(constB29)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6403,plain,
% 6.61/4.73 (v115(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6402, 6401, 6387])).
% 6.61/4.73 tff(6404,plain,
% 6.61/4.73 ((v115(constB29) | v124(constB29)) | (~v115(constB29))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6405,plain,
% 6.61/4.73 (v115(constB29) | v124(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6404, 6403])).
% 6.61/4.73 tff(6406,plain,
% 6.61/4.73 ((~(v114(constB29) <=> (v115(constB29) | v124(constB29)))) | v114(constB29) | (~(v115(constB29) | v124(constB29)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6407,plain,
% 6.61/4.73 (v114(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6406, 6405, 6385])).
% 6.61/4.73 tff(6408,plain,
% 6.61/4.73 ((v114(constB29) | v125(constB29)) | (~v114(constB29))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6409,plain,
% 6.61/4.73 (v114(constB29) | v125(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6408, 6407])).
% 6.61/4.73 tff(6410,plain,
% 6.61/4.73 ((~(v113(constB29) <=> (v114(constB29) | v125(constB29)))) | v113(constB29) | (~(v114(constB29) | v125(constB29)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6411,plain,
% 6.61/4.73 (v113(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6410, 6409, 6383])).
% 6.61/4.73 tff(6412,plain,
% 6.61/4.73 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB29)) <=> v111(constB29))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6413,plain,
% 6.61/4.73 ((~v126(constB29)) <=> v111(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6412, 4118])).
% 6.61/4.73 tff(6414,plain,
% 6.61/4.73 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29) | v111(constB29)),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6415,plain,
% 6.61/4.73 ((~((~v126(constB29)) <=> v111(constB29))) | v126(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6414, 2948])).
% 6.61/4.73 tff(6416,plain,
% 6.61/4.73 (v126(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6415, 6413])).
% 6.61/4.73 tff(6417,plain,
% 6.61/4.73 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29)) | (~v126(constB29))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6418,plain,
% 6.61/4.73 ((~((~v113(constB29)) | (~v126(constB29)))) | (~v113(constB29))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6417, 6416])).
% 6.61/4.73 tff(6419,plain,
% 6.61/4.73 (~((~v113(constB29)) | (~v126(constB29)))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6418, 6411])).
% 6.61/4.73 tff(6420,plain,
% 6.61/4.73 ((~(v112(constB29) <=> (~((~v113(constB29)) | (~v126(constB29)))))) | v112(constB29) | ((~v113(constB29)) | (~v126(constB29)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6421,plain,
% 6.61/4.73 (v112(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6420, 6419, 6381])).
% 6.61/4.73 tff(6422,plain,
% 6.61/4.73 ((v111(constB29) | v112(constB29)) | (~v112(constB29))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6423,plain,
% 6.61/4.73 (v111(constB29) | v112(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6422, 6421])).
% 6.61/4.73 tff(6424,plain,
% 6.61/4.73 ((~(v108(constB29) <=> (v111(constB29) | v112(constB29)))) | v108(constB29) | (~(v111(constB29) | v112(constB29)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6425,plain,
% 6.61/4.73 (v108(constB29)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6424, 6423, 6379])).
% 6.61/4.73 tff(6426,plain,
% 6.61/4.73 ((~(v110(constB30) <=> v108(constB29))) | v110(constB30) | (~v108(constB29))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6427,plain,
% 6.61/4.73 (v110(constB30)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6426, 6425, 6377])).
% 6.61/4.73 tff(6428,plain,
% 6.61/4.73 ((~((~v101(constB30)) | (~v110(constB30)))) | (~v101(constB30)) | (~v110(constB30))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6429,plain,
% 6.61/4.73 (~((~v101(constB30)) | (~v110(constB30)))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6428, 6427, 6373])).
% 6.61/4.73 tff(6430,plain,
% 6.61/4.73 ((~(v100(constB30) <=> (~((~v101(constB30)) | (~v110(constB30)))))) | v100(constB30) | ((~v101(constB30)) | (~v110(constB30)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6431,plain,
% 6.61/4.73 (v100(constB30)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6430, 6429, 6345])).
% 6.61/4.73 tff(6432,plain,
% 6.61/4.73 (((~![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)))))),
% 6.61/4.73 inference(rewrite,[status(thm)],[])).
% 6.61/4.73 tff(6433,plain,
% 6.61/4.73 (((~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)))))),
% 6.61/4.73 inference(rewrite,[status(thm)],[])).
% 6.61/4.73 tff(6434,plain,
% 6.61/4.73 (((~![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))))))),
% 6.61/4.73 inference(monotonicity,[status(thm)],[6433])).
% 6.61/4.73 tff(6435,plain,
% 6.61/4.73 (((~![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)))))),
% 6.61/4.73 inference(transitivity,[status(thm)],[6434, 6432])).
% 6.61/4.73 tff(6436,plain,
% 6.61/4.73 ((~![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)))))),
% 6.61/4.73 inference(quant_inst,[status(thm)],[])).
% 6.61/4.73 tff(6437,plain,
% 6.61/4.73 ((~![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))))),
% 6.61/4.73 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 6.61/4.73 tff(6438,plain,
% 6.61/4.73 ((~v100(constB30)) | (~(((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6437, 4151])).
% 6.61/4.73 tff(6439,plain,
% 6.61/4.73 (~(((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6438, 6431])).
% 6.61/4.73 tff(6440,plain,
% 6.61/4.73 ((((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))) | (~((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6441,plain,
% 6.61/4.73 (~((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6440, 6439])).
% 6.61/4.73 tff(6442,plain,
% 6.61/4.73 (((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2)),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6443,plain,
% 6.61/4.73 (~v90(constB30, bitIndex2)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6442, 6441, 6341])).
% 6.61/4.73 tff(6444,plain,
% 6.61/4.73 (((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | (~v90(constB31, bitIndex2)) | v90(constB30, bitIndex2)),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6445,plain,
% 6.61/4.73 (~v90(constB31, bitIndex2)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6444, 6443, 2932])).
% 6.61/4.73 tff(6446,plain,
% 6.61/4.73 ((((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))) | (~((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6447,plain,
% 6.61/4.73 (~((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6446, 2930])).
% 6.61/4.73 tff(6448,plain,
% 6.61/4.73 ((((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0))) | (~((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6449,plain,
% 6.61/4.73 (~((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6448, 2939])).
% 6.61/4.73 tff(6450,plain,
% 6.61/4.73 ((((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1))) | (~((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6451,plain,
% 6.61/4.73 (~((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6450, 2953])).
% 6.61/4.73 tff(6452,plain,
% 6.61/4.73 ((v130(constB29, bitIndex2) | (~v130(constB29, bitIndex0)) | (~v130(constB29, bitIndex1))) | v130(constB29, bitIndex0)),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6453,plain,
% 6.61/4.73 (v130(constB29, bitIndex0)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6452, 6335])).
% 6.61/4.73 tff(6454,plain,
% 6.61/4.73 (((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)) | v127(constB29, bitIndex0) | (~v130(constB29, bitIndex0))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6455,plain,
% 6.61/4.73 (v127(constB29, bitIndex0)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6454, 6453, 6451])).
% 6.61/4.73 tff(6456,plain,
% 6.61/4.73 (((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0)) | v129(constB30, bitIndex0) | (~v127(constB29, bitIndex0))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6457,plain,
% 6.61/4.73 (v129(constB30, bitIndex0)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6456, 6455, 6449])).
% 6.61/4.73 tff(6458,plain,
% 6.61/4.73 ((((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))) | (~((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6459,plain,
% 6.61/4.73 (~((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6458, 6439])).
% 6.61/4.73 tff(6460,plain,
% 6.61/4.73 (((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6461,plain,
% 6.61/4.73 (v90(constB30, bitIndex0)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6460, 6459, 6457])).
% 6.61/4.73 tff(6462,plain,
% 6.61/4.73 (((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0)) | v90(constB31, bitIndex0) | (~v90(constB30, bitIndex0))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6463,plain,
% 6.61/4.73 (v90(constB31, bitIndex0)),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6462, 6461, 6447])).
% 6.61/4.73 tff(6464,plain,
% 6.61/4.73 ((((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | ((~v90(constB31, bitIndex2)) <=> v90(constB30, bitIndex2)) | ((~v90(constB31, bitIndex0)) <=> v90(constB30, bitIndex0))) | (~((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6465,plain,
% 6.61/4.73 (~((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6464, 2930])).
% 6.61/4.73 tff(6466,plain,
% 6.61/4.73 ((((~v129(constB30, bitIndex2)) <=> v127(constB29, bitIndex2)) | ((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | ((~v129(constB30, bitIndex0)) <=> v127(constB29, bitIndex0))) | (~((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)))),
% 6.61/4.73 inference(tautology,[status(thm)],[])).
% 6.61/4.73 tff(6467,plain,
% 6.61/4.73 (~((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1))),
% 6.61/4.73 inference(unit_resolution,[status(thm)],[6466, 2939])).
% 6.61/4.73 tff(6468,plain,
% 6.61/4.73 ((((~v127(constB29, bitIndex2)) <=> v130(constB29, bitIndex2)) | ((~v127(constB29, bitIndex0)) <=> v130(constB29, bitIndex0)) | ((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1))) | (~((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6469,plain,
% 6.61/4.74 (~((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6468, 2953])).
% 6.61/4.74 tff(6470,plain,
% 6.61/4.74 ((v130(constB29, bitIndex2) | (~v130(constB29, bitIndex0)) | (~v130(constB29, bitIndex1))) | v130(constB29, bitIndex1)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6471,plain,
% 6.61/4.74 (v130(constB29, bitIndex1)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6470, 6335])).
% 6.61/4.74 tff(6472,plain,
% 6.61/4.74 (((~v127(constB29, bitIndex1)) <=> v130(constB29, bitIndex1)) | v127(constB29, bitIndex1) | (~v130(constB29, bitIndex1))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6473,plain,
% 6.61/4.74 (v127(constB29, bitIndex1)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6472, 6471, 6469])).
% 6.61/4.74 tff(6474,plain,
% 6.61/4.74 (((~v129(constB30, bitIndex1)) <=> v127(constB29, bitIndex1)) | v129(constB30, bitIndex1) | (~v127(constB29, bitIndex1))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6475,plain,
% 6.61/4.74 (v129(constB30, bitIndex1)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6474, 6473, 6467])).
% 6.61/4.74 tff(6476,plain,
% 6.61/4.74 ((((~v90(constB30, bitIndex0)) <=> v129(constB30, bitIndex0)) | ((~v90(constB30, bitIndex2)) <=> v129(constB30, bitIndex2)) | ((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))) | (~((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6477,plain,
% 6.61/4.74 (~((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6476, 6439])).
% 6.61/4.74 tff(6478,plain,
% 6.61/4.74 (((~v90(constB30, bitIndex1)) <=> v129(constB30, bitIndex1)) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6479,plain,
% 6.61/4.74 (v90(constB30, bitIndex1)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6478, 6477, 6475])).
% 6.61/4.74 tff(6480,plain,
% 6.61/4.74 (((~v90(constB31, bitIndex1)) <=> v90(constB30, bitIndex1)) | v90(constB31, bitIndex1) | (~v90(constB30, bitIndex1))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6481,plain,
% 6.61/4.74 (v90(constB31, bitIndex1)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6480, 6479, 6465])).
% 6.61/4.74 tff(6482,plain,
% 6.61/4.74 ((~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))) | v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6483,plain,
% 6.61/4.74 (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6482, 6481, 6463, 6445])).
% 6.61/4.74 tff(6484,plain,
% 6.61/4.74 ((~(v122(constB31) <=> (~(v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))))) | v122(constB31) | (v90(constB31, bitIndex2) | (~v90(constB31, bitIndex1)) | (~v90(constB31, bitIndex0)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6485,plain,
% 6.61/4.74 (v122(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6484, 6483, 2896])).
% 6.61/4.74 tff(6486,plain,
% 6.61/4.74 (((~![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, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2)))))),
% 6.61/4.74 inference(rewrite,[status(thm)],[])).
% 6.61/4.74 tff(6487,plain,
% 6.61/4.74 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB31)) | (~(v130(constB31, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2)))))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6488,plain,
% 6.61/4.74 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB31)) | (~(v130(constB31, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2))))),
% 6.61/4.74 inference(modus_ponens,[status(thm)],[6487, 6486])).
% 6.61/4.74 tff(6489,plain,
% 6.61/4.74 ((~v122(constB31)) | (~(v130(constB31, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2))))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6488, 4563])).
% 6.61/4.74 tff(6490,plain,
% 6.61/4.74 (~(v130(constB31, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2)))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6489, 6485])).
% 6.61/4.74 tff(6491,plain,
% 6.61/4.74 ((v130(constB31, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2))) | v130(constB31, bitIndex2)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6492,plain,
% 6.61/4.74 (v130(constB31, bitIndex2)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6491, 6490])).
% 6.61/4.74 tff(6493,plain,
% 6.61/4.74 (((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | v127(constB31, bitIndex2) | (~v130(constB31, bitIndex2))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6494,plain,
% 6.61/4.74 (v127(constB31, bitIndex2)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6493, 6492, 2889])).
% 6.61/4.74 tff(6495,plain,
% 6.61/4.74 (((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | v129(constB32, bitIndex2) | (~v127(constB31, bitIndex2))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6496,plain,
% 6.61/4.74 (v129(constB32, bitIndex2)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6495, 6494, 2875])).
% 6.61/4.74 tff(6497,plain,
% 6.61/4.74 (((~![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))))))),
% 6.61/4.74 inference(rewrite,[status(thm)],[])).
% 6.61/4.74 tff(6498,plain,
% 6.61/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6499,plain,
% 6.61/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB31, constB32)) | (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))),
% 6.61/4.74 inference(modus_ponens,[status(thm)],[6498, 6497])).
% 6.61/4.74 tff(6500,plain,
% 6.61/4.74 (v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32))))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6499, 2869, 433])).
% 6.61/4.74 tff(6501,plain,
% 6.61/4.74 (((~![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))))))),
% 6.61/4.74 inference(rewrite,[status(thm)],[])).
% 6.61/4.74 tff(6502,plain,
% 6.61/4.74 (((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32)))))) <=> ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))))),
% 6.61/4.74 inference(rewrite,[status(thm)],[])).
% 6.61/4.74 tff(6503,plain,
% 6.61/4.74 (((~![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)))))))),
% 6.61/4.74 inference(monotonicity,[status(thm)],[6502])).
% 6.61/4.74 tff(6504,plain,
% 6.61/4.74 (((~![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))))))),
% 6.61/4.74 inference(transitivity,[status(thm)],[6503, 6501])).
% 6.61/4.74 tff(6505,plain,
% 6.61/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v102(constB32)) | (~v1(constB32))))))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6506,plain,
% 6.61/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))),
% 6.61/4.74 inference(modus_ponens,[status(thm)],[6505, 6504])).
% 6.61/4.74 tff(6507,plain,
% 6.61/4.74 (v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32))))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6506, 2869, 453])).
% 6.61/4.74 tff(6508,plain,
% 6.61/4.74 (((~![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)))),
% 6.61/4.74 inference(rewrite,[status(thm)],[])).
% 6.61/4.74 tff(6509,plain,
% 6.61/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32)))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6510,plain,
% 6.61/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB31, constB32)) | ((~v102(constB32)) <=> v104(constB32))),
% 6.61/4.74 inference(modus_ponens,[status(thm)],[6509, 6508])).
% 6.61/4.74 tff(6511,plain,
% 6.61/4.74 ((~v102(constB32)) <=> v104(constB32)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6510, 2869, 3966])).
% 6.61/4.74 tff(6512,plain,
% 6.61/4.74 (((~![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)))),
% 6.61/4.74 inference(rewrite,[status(thm)],[])).
% 6.61/4.74 tff(6513,plain,
% 6.61/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31)))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6514,plain,
% 6.61/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v1(constB31))),
% 6.61/4.74 inference(modus_ponens,[status(thm)],[6513, 6512])).
% 6.61/4.74 tff(6515,plain,
% 6.61/4.74 (v104(constB32) <=> v1(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6514, 2869, 3980])).
% 6.61/4.74 tff(6516,plain,
% 6.61/4.74 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32)) | v1(constB31)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6517,plain,
% 6.61/4.74 ((~(v104(constB32) <=> v1(constB31))) | (~v104(constB32))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6516, 2913])).
% 6.61/4.74 tff(6518,plain,
% 6.61/4.74 (~v104(constB32)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6517, 6515])).
% 6.61/4.74 tff(6519,plain,
% 6.61/4.74 ((~((~v102(constB32)) <=> v104(constB32))) | v102(constB32) | v104(constB32)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6520,plain,
% 6.61/4.74 (v102(constB32)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6519, 6518, 6511])).
% 6.61/4.74 tff(6521,plain,
% 6.61/4.74 (v1(constB32) <=> v1(constB32)),
% 6.61/4.74 inference(rewrite,[status(thm)],[])).
% 6.61/4.74 tff(6522,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32')).
% 6.61/4.74 tff(6523,plain,
% 6.61/4.74 (v1(constB32)),
% 6.61/4.74 inference(modus_ponens,[status(thm)],[6522, 6521])).
% 6.61/4.74 tff(6524,plain,
% 6.61/4.74 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v1(constB32)) | (~v102(constB32))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6525,plain,
% 6.61/4.74 ((~((~v1(constB32)) | (~v102(constB32)))) | (~v102(constB32))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6524, 6523])).
% 6.61/4.74 tff(6526,plain,
% 6.61/4.74 (~((~v1(constB32)) | (~v102(constB32)))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6525, 6520])).
% 6.61/4.74 tff(6527,plain,
% 6.61/4.74 ((~(v101(constB32) <=> (~((~v1(constB32)) | (~v102(constB32)))))) | v101(constB32) | ((~v1(constB32)) | (~v102(constB32)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6528,plain,
% 6.61/4.74 (v101(constB32)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6527, 6526, 6507])).
% 6.61/4.74 tff(6529,plain,
% 6.61/4.74 (((~![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)))),
% 6.61/4.74 inference(rewrite,[status(thm)],[])).
% 6.61/4.74 tff(6530,plain,
% 6.61/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31)))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6531,plain,
% 6.61/4.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB31, constB32)) | (v110(constB32) <=> v108(constB31))),
% 6.61/4.74 inference(modus_ponens,[status(thm)],[6530, 6529])).
% 6.61/4.74 tff(6532,plain,
% 6.61/4.74 (v110(constB32) <=> v108(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6531, 2869, 4007])).
% 6.61/4.74 tff(6533,plain,
% 6.61/4.74 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB31) <=> (v111(constB31) | v112(constB31)))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6534,plain,
% 6.61/4.74 (v108(constB31) <=> (v111(constB31) | v112(constB31))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6533, 4018])).
% 6.61/4.74 tff(6535,plain,
% 6.61/4.74 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6536,plain,
% 6.61/4.74 (v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31))))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6535, 4030])).
% 6.61/4.74 tff(6537,plain,
% 6.61/4.74 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB31) <=> (v114(constB31) | v125(constB31)))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6538,plain,
% 6.61/4.74 (v113(constB31) <=> (v114(constB31) | v125(constB31))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6537, 4039])).
% 6.61/4.74 tff(6539,plain,
% 6.61/4.74 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB31) <=> (v115(constB31) | v124(constB31)))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6540,plain,
% 6.61/4.74 (v114(constB31) <=> (v115(constB31) | v124(constB31))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6539, 4048])).
% 6.61/4.74 tff(6541,plain,
% 6.61/4.74 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB31) <=> (v116(constB31) | v123(constB31)))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6542,plain,
% 6.61/4.74 (v115(constB31) <=> (v116(constB31) | v123(constB31))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6541, 4057])).
% 6.61/4.74 tff(6543,plain,
% 6.61/4.74 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB31) <=> (v117(constB31) | v122(constB31)))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6544,plain,
% 6.61/4.74 (v116(constB31) <=> (v117(constB31) | v122(constB31))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6543, 4066])).
% 6.61/4.74 tff(6545,plain,
% 6.61/4.74 ((v117(constB31) | v122(constB31)) | (~v122(constB31))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6546,plain,
% 6.61/4.74 (v117(constB31) | v122(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6545, 6485])).
% 6.61/4.74 tff(6547,plain,
% 6.61/4.74 ((~(v116(constB31) <=> (v117(constB31) | v122(constB31)))) | v116(constB31) | (~(v117(constB31) | v122(constB31)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6548,plain,
% 6.61/4.74 (v116(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6547, 6546, 6544])).
% 6.61/4.74 tff(6549,plain,
% 6.61/4.74 ((v116(constB31) | v123(constB31)) | (~v116(constB31))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6550,plain,
% 6.61/4.74 (v116(constB31) | v123(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6549, 6548])).
% 6.61/4.74 tff(6551,plain,
% 6.61/4.74 ((~(v115(constB31) <=> (v116(constB31) | v123(constB31)))) | v115(constB31) | (~(v116(constB31) | v123(constB31)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6552,plain,
% 6.61/4.74 (v115(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6551, 6550, 6542])).
% 6.61/4.74 tff(6553,plain,
% 6.61/4.74 ((v115(constB31) | v124(constB31)) | (~v115(constB31))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6554,plain,
% 6.61/4.74 (v115(constB31) | v124(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6553, 6552])).
% 6.61/4.74 tff(6555,plain,
% 6.61/4.74 ((~(v114(constB31) <=> (v115(constB31) | v124(constB31)))) | v114(constB31) | (~(v115(constB31) | v124(constB31)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6556,plain,
% 6.61/4.74 (v114(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6555, 6554, 6540])).
% 6.61/4.74 tff(6557,plain,
% 6.61/4.74 ((v114(constB31) | v125(constB31)) | (~v114(constB31))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6558,plain,
% 6.61/4.74 (v114(constB31) | v125(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6557, 6556])).
% 6.61/4.74 tff(6559,plain,
% 6.61/4.74 ((~(v113(constB31) <=> (v114(constB31) | v125(constB31)))) | v113(constB31) | (~(v114(constB31) | v125(constB31)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6560,plain,
% 6.61/4.74 (v113(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6559, 6558, 6538])).
% 6.61/4.74 tff(6561,plain,
% 6.61/4.74 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB31)) <=> v111(constB31))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6562,plain,
% 6.61/4.74 ((~v126(constB31)) <=> v111(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6561, 4118])).
% 6.61/4.74 tff(6563,plain,
% 6.61/4.74 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31) | v111(constB31)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6564,plain,
% 6.61/4.74 ((~((~v126(constB31)) <=> v111(constB31))) | v126(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6563, 2882])).
% 6.61/4.74 tff(6565,plain,
% 6.61/4.74 (v126(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6564, 6562])).
% 6.61/4.74 tff(6566,plain,
% 6.61/4.74 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31)) | (~v126(constB31))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6567,plain,
% 6.61/4.74 ((~((~v113(constB31)) | (~v126(constB31)))) | (~v113(constB31))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6566, 6565])).
% 6.61/4.74 tff(6568,plain,
% 6.61/4.74 (~((~v113(constB31)) | (~v126(constB31)))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6567, 6560])).
% 6.61/4.74 tff(6569,plain,
% 6.61/4.74 ((~(v112(constB31) <=> (~((~v113(constB31)) | (~v126(constB31)))))) | v112(constB31) | ((~v113(constB31)) | (~v126(constB31)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6570,plain,
% 6.61/4.74 (v112(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6569, 6568, 6536])).
% 6.61/4.74 tff(6571,plain,
% 6.61/4.74 ((v111(constB31) | v112(constB31)) | (~v112(constB31))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6572,plain,
% 6.61/4.74 (v111(constB31) | v112(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6571, 6570])).
% 6.61/4.74 tff(6573,plain,
% 6.61/4.74 ((~(v108(constB31) <=> (v111(constB31) | v112(constB31)))) | v108(constB31) | (~(v111(constB31) | v112(constB31)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6574,plain,
% 6.61/4.74 (v108(constB31)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6573, 6572, 6534])).
% 6.61/4.74 tff(6575,plain,
% 6.61/4.74 ((~(v110(constB32) <=> v108(constB31))) | v110(constB32) | (~v108(constB31))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6576,plain,
% 6.61/4.74 (v110(constB32)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6575, 6574, 6532])).
% 6.61/4.74 tff(6577,plain,
% 6.61/4.74 ((~((~v101(constB32)) | (~v110(constB32)))) | (~v101(constB32)) | (~v110(constB32))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6578,plain,
% 6.61/4.74 (~((~v101(constB32)) | (~v110(constB32)))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6577, 6576, 6528])).
% 6.61/4.74 tff(6579,plain,
% 6.61/4.74 ((~(v100(constB32) <=> (~((~v101(constB32)) | (~v110(constB32)))))) | v100(constB32) | ((~v101(constB32)) | (~v110(constB32)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6580,plain,
% 6.61/4.74 (v100(constB32)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6579, 6578, 6500])).
% 6.61/4.74 tff(6581,plain,
% 6.61/4.74 (((~![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)))))),
% 6.61/4.74 inference(rewrite,[status(thm)],[])).
% 6.61/4.74 tff(6582,plain,
% 6.61/4.74 ((~![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)))))),
% 6.61/4.74 inference(quant_inst,[status(thm)],[])).
% 6.61/4.74 tff(6583,plain,
% 6.61/4.74 ((~![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))))),
% 6.61/4.74 inference(modus_ponens,[status(thm)],[6582, 6581])).
% 6.61/4.74 tff(6584,plain,
% 6.61/4.74 ((~v100(constB32)) | (~(((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0))))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6583, 4151])).
% 6.61/4.74 tff(6585,plain,
% 6.61/4.74 (~(((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0)))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6584, 6580])).
% 6.61/4.74 tff(6586,plain,
% 6.61/4.74 ((((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0))) | (~((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6587,plain,
% 6.61/4.74 (~((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6586, 6585])).
% 6.61/4.74 tff(6588,plain,
% 6.61/4.74 (((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6589,plain,
% 6.61/4.74 (v90(constB32, bitIndex2)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6588, 6587, 6496])).
% 6.61/4.74 tff(6590,plain,
% 6.61/4.74 (((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | v90(constB33, bitIndex2) | (~v90(constB32, bitIndex2))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6591,plain,
% 6.61/4.74 (v90(constB33, bitIndex2)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6590, 6589, 2866])).
% 6.61/4.74 tff(6592,plain,
% 6.61/4.74 ((((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))) | (~((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6593,plain,
% 6.61/4.74 (~((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6592, 2864])).
% 6.61/4.74 tff(6594,plain,
% 6.61/4.74 ((((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0))) | (~((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6595,plain,
% 6.61/4.74 (~((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6594, 2873])).
% 6.61/4.74 tff(6596,plain,
% 6.61/4.74 ((((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1))) | (~((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6597,plain,
% 6.61/4.74 (~((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6596, 2887])).
% 6.61/4.74 tff(6598,plain,
% 6.61/4.74 ((v130(constB31, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2))) | (~v130(constB31, bitIndex0))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6599,plain,
% 6.61/4.74 (~v130(constB31, bitIndex0)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6598, 6490])).
% 6.61/4.74 tff(6600,plain,
% 6.61/4.74 (((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)) | (~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6601,plain,
% 6.61/4.74 (~v127(constB31, bitIndex0)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6600, 6599, 6597])).
% 6.61/4.74 tff(6602,plain,
% 6.61/4.74 (((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0)) | (~v129(constB32, bitIndex0)) | v127(constB31, bitIndex0)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6603,plain,
% 6.61/4.74 (~v129(constB32, bitIndex0)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6602, 6601, 6595])).
% 6.61/4.74 tff(6604,plain,
% 6.61/4.74 ((((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0))) | (~((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6605,plain,
% 6.61/4.74 (~((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6604, 6585])).
% 6.61/4.74 tff(6606,plain,
% 6.61/4.74 (((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0)) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6607,plain,
% 6.61/4.74 (~v90(constB32, bitIndex0)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6606, 6605, 6603])).
% 6.61/4.74 tff(6608,plain,
% 6.61/4.74 (((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0)) | (~v90(constB33, bitIndex0)) | v90(constB32, bitIndex0)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6609,plain,
% 6.61/4.74 (~v90(constB33, bitIndex0)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6608, 6607, 6593])).
% 6.61/4.74 tff(6610,plain,
% 6.61/4.74 ((((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | ((~v90(constB33, bitIndex2)) <=> v90(constB32, bitIndex2)) | ((~v90(constB33, bitIndex0)) <=> v90(constB32, bitIndex0))) | (~((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6611,plain,
% 6.61/4.74 (~((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6610, 2864])).
% 6.61/4.74 tff(6612,plain,
% 6.61/4.74 ((((~v129(constB32, bitIndex2)) <=> v127(constB31, bitIndex2)) | ((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | ((~v129(constB32, bitIndex0)) <=> v127(constB31, bitIndex0))) | (~((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6613,plain,
% 6.61/4.74 (~((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6612, 2873])).
% 6.61/4.74 tff(6614,plain,
% 6.61/4.74 ((((~v127(constB31, bitIndex2)) <=> v130(constB31, bitIndex2)) | ((~v127(constB31, bitIndex0)) <=> v130(constB31, bitIndex0)) | ((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1))) | (~((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6615,plain,
% 6.61/4.74 (~((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6614, 2887])).
% 6.61/4.74 tff(6616,plain,
% 6.61/4.74 ((v130(constB31, bitIndex0) | v130(constB31, bitIndex1) | (~v130(constB31, bitIndex2))) | (~v130(constB31, bitIndex1))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6617,plain,
% 6.61/4.74 (~v130(constB31, bitIndex1)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6616, 6490])).
% 6.61/4.74 tff(6618,plain,
% 6.61/4.74 (((~v127(constB31, bitIndex1)) <=> v130(constB31, bitIndex1)) | (~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6619,plain,
% 6.61/4.74 (~v127(constB31, bitIndex1)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6618, 6617, 6615])).
% 6.61/4.74 tff(6620,plain,
% 6.61/4.74 (((~v129(constB32, bitIndex1)) <=> v127(constB31, bitIndex1)) | (~v129(constB32, bitIndex1)) | v127(constB31, bitIndex1)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6621,plain,
% 6.61/4.74 (~v129(constB32, bitIndex1)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6620, 6619, 6613])).
% 6.61/4.74 tff(6622,plain,
% 6.61/4.74 ((((~v90(constB32, bitIndex2)) <=> v129(constB32, bitIndex2)) | ((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | ((~v90(constB32, bitIndex0)) <=> v129(constB32, bitIndex0))) | (~((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6623,plain,
% 6.61/4.74 (~((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1))),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6622, 6585])).
% 6.61/4.74 tff(6624,plain,
% 6.61/4.74 (((~v90(constB32, bitIndex1)) <=> v129(constB32, bitIndex1)) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6625,plain,
% 6.61/4.74 (~v90(constB32, bitIndex1)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6624, 6623, 6621])).
% 6.61/4.74 tff(6626,plain,
% 6.61/4.74 (((~v90(constB33, bitIndex1)) <=> v90(constB32, bitIndex1)) | (~v90(constB33, bitIndex1)) | v90(constB32, bitIndex1)),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6627,plain,
% 6.61/4.74 (~v90(constB33, bitIndex1)),
% 6.61/4.74 inference(unit_resolution,[status(thm)],[6626, 6625, 6611])).
% 6.61/4.74 tff(6628,plain,
% 6.61/4.74 ((~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))) | v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2))),
% 6.61/4.74 inference(tautology,[status(thm)],[])).
% 6.61/4.74 tff(6629,plain,
% 6.61/4.74 (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6628, 6627, 6609, 6591])).
% 6.61/4.75 tff(6630,plain,
% 6.61/4.75 ((~(v123(constB33) <=> (~(v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))))) | v123(constB33) | (v90(constB33, bitIndex1) | v90(constB33, bitIndex0) | (~v90(constB33, bitIndex2)))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6631,plain,
% 6.61/4.75 (v123(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6630, 6629, 2830])).
% 6.61/4.75 tff(6632,plain,
% 6.61/4.75 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB33)) | (~(v130(constB33, bitIndex1) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB33)) | (~(v130(constB33, bitIndex1) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex0)))))),
% 6.61/4.75 inference(rewrite,[status(thm)],[])).
% 6.61/4.75 tff(6633,plain,
% 6.61/4.75 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB33)) | (~(v130(constB33, bitIndex1) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex0)))))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6634,plain,
% 6.61/4.75 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB33)) | (~(v130(constB33, bitIndex1) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex0))))),
% 6.61/4.75 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 6.61/4.75 tff(6635,plain,
% 6.61/4.75 ((~v123(constB33)) | (~(v130(constB33, bitIndex1) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex0))))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6634, 4722])).
% 6.61/4.75 tff(6636,plain,
% 6.61/4.75 (~(v130(constB33, bitIndex1) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex0)))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6635, 6631])).
% 6.61/4.75 tff(6637,plain,
% 6.61/4.75 ((v130(constB33, bitIndex1) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex0))) | v130(constB33, bitIndex2)),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6638,plain,
% 6.61/4.75 (v130(constB33, bitIndex2)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6637, 6636])).
% 6.61/4.75 tff(6639,plain,
% 6.61/4.75 (((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | v127(constB33, bitIndex2) | (~v130(constB33, bitIndex2))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6640,plain,
% 6.61/4.75 (v127(constB33, bitIndex2)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6639, 6638, 2823])).
% 6.61/4.75 tff(6641,plain,
% 6.61/4.75 (((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | v129(constB34, bitIndex2) | (~v127(constB33, bitIndex2))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6642,plain,
% 6.61/4.75 (v129(constB34, bitIndex2)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6641, 6640, 2809])).
% 6.61/4.75 tff(6643,plain,
% 6.61/4.75 (((~![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))))))),
% 6.61/4.75 inference(rewrite,[status(thm)],[])).
% 6.61/4.75 tff(6644,plain,
% 6.61/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6645,plain,
% 6.61/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB33, constB34)) | (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))),
% 6.61/4.75 inference(modus_ponens,[status(thm)],[6644, 6643])).
% 6.61/4.75 tff(6646,plain,
% 6.61/4.75 (v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34))))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6645, 2803, 433])).
% 6.61/4.75 tff(6647,plain,
% 6.61/4.75 (((~![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))))))),
% 6.61/4.75 inference(rewrite,[status(thm)],[])).
% 6.61/4.75 tff(6648,plain,
% 6.61/4.75 (((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34)))))) <=> ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))))),
% 6.61/4.75 inference(rewrite,[status(thm)],[])).
% 6.61/4.75 tff(6649,plain,
% 6.61/4.75 (((~![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)))))))),
% 6.61/4.75 inference(monotonicity,[status(thm)],[6648])).
% 6.61/4.75 tff(6650,plain,
% 6.61/4.75 (((~![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))))))),
% 6.61/4.75 inference(transitivity,[status(thm)],[6649, 6647])).
% 6.61/4.75 tff(6651,plain,
% 6.61/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v102(constB34)) | (~v1(constB34))))))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6652,plain,
% 6.61/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))),
% 6.61/4.75 inference(modus_ponens,[status(thm)],[6651, 6650])).
% 6.61/4.75 tff(6653,plain,
% 6.61/4.75 (v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34))))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6652, 2803, 453])).
% 6.61/4.75 tff(6654,plain,
% 6.61/4.75 (((~![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)))),
% 6.61/4.75 inference(rewrite,[status(thm)],[])).
% 6.61/4.75 tff(6655,plain,
% 6.61/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34)))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6656,plain,
% 6.61/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB33, constB34)) | ((~v102(constB34)) <=> v104(constB34))),
% 6.61/4.75 inference(modus_ponens,[status(thm)],[6655, 6654])).
% 6.61/4.75 tff(6657,plain,
% 6.61/4.75 ((~v102(constB34)) <=> v104(constB34)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6656, 2803, 3966])).
% 6.61/4.75 tff(6658,plain,
% 6.61/4.75 (((~![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)))),
% 6.61/4.75 inference(rewrite,[status(thm)],[])).
% 6.61/4.75 tff(6659,plain,
% 6.61/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33)))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6660,plain,
% 6.61/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v1(constB33))),
% 6.61/4.75 inference(modus_ponens,[status(thm)],[6659, 6658])).
% 6.61/4.75 tff(6661,plain,
% 6.61/4.75 (v104(constB34) <=> v1(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6660, 2803, 3980])).
% 6.61/4.75 tff(6662,plain,
% 6.61/4.75 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34)) | v1(constB33)),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6663,plain,
% 6.61/4.75 ((~(v104(constB34) <=> v1(constB33))) | (~v104(constB34))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6662, 2847])).
% 6.61/4.75 tff(6664,plain,
% 6.61/4.75 (~v104(constB34)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6663, 6661])).
% 6.61/4.75 tff(6665,plain,
% 6.61/4.75 ((~((~v102(constB34)) <=> v104(constB34))) | v102(constB34) | v104(constB34)),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6666,plain,
% 6.61/4.75 (v102(constB34)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6665, 6664, 6657])).
% 6.61/4.75 tff(6667,plain,
% 6.61/4.75 (v1(constB34) <=> v1(constB34)),
% 6.61/4.75 inference(rewrite,[status(thm)],[])).
% 6.61/4.75 tff(6668,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34')).
% 6.61/4.75 tff(6669,plain,
% 6.61/4.75 (v1(constB34)),
% 6.61/4.75 inference(modus_ponens,[status(thm)],[6668, 6667])).
% 6.61/4.75 tff(6670,plain,
% 6.61/4.75 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v1(constB34)) | (~v102(constB34))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6671,plain,
% 6.61/4.75 ((~((~v1(constB34)) | (~v102(constB34)))) | (~v102(constB34))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6670, 6669])).
% 6.61/4.75 tff(6672,plain,
% 6.61/4.75 (~((~v1(constB34)) | (~v102(constB34)))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6671, 6666])).
% 6.61/4.75 tff(6673,plain,
% 6.61/4.75 ((~(v101(constB34) <=> (~((~v1(constB34)) | (~v102(constB34)))))) | v101(constB34) | ((~v1(constB34)) | (~v102(constB34)))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6674,plain,
% 6.61/4.75 (v101(constB34)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6673, 6672, 6653])).
% 6.61/4.75 tff(6675,plain,
% 6.61/4.75 (((~![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)))),
% 6.61/4.75 inference(rewrite,[status(thm)],[])).
% 6.61/4.75 tff(6676,plain,
% 6.61/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33)))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6677,plain,
% 6.61/4.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB33, constB34)) | (v110(constB34) <=> v108(constB33))),
% 6.61/4.75 inference(modus_ponens,[status(thm)],[6676, 6675])).
% 6.61/4.75 tff(6678,plain,
% 6.61/4.75 (v110(constB34) <=> v108(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6677, 2803, 4007])).
% 6.61/4.75 tff(6679,plain,
% 6.61/4.75 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB33) <=> (v111(constB33) | v112(constB33)))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6680,plain,
% 6.61/4.75 (v108(constB33) <=> (v111(constB33) | v112(constB33))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6679, 4018])).
% 6.61/4.75 tff(6681,plain,
% 6.61/4.75 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6682,plain,
% 6.61/4.75 (v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33))))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6681, 4030])).
% 6.61/4.75 tff(6683,plain,
% 6.61/4.75 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB33) <=> (v114(constB33) | v125(constB33)))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6684,plain,
% 6.61/4.75 (v113(constB33) <=> (v114(constB33) | v125(constB33))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6683, 4039])).
% 6.61/4.75 tff(6685,plain,
% 6.61/4.75 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB33) <=> (v115(constB33) | v124(constB33)))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6686,plain,
% 6.61/4.75 (v114(constB33) <=> (v115(constB33) | v124(constB33))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6685, 4048])).
% 6.61/4.75 tff(6687,plain,
% 6.61/4.75 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB33) <=> (v116(constB33) | v123(constB33)))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6688,plain,
% 6.61/4.75 (v115(constB33) <=> (v116(constB33) | v123(constB33))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6687, 4057])).
% 6.61/4.75 tff(6689,plain,
% 6.61/4.75 ((v116(constB33) | v123(constB33)) | (~v123(constB33))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6690,plain,
% 6.61/4.75 (v116(constB33) | v123(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6689, 6631])).
% 6.61/4.75 tff(6691,plain,
% 6.61/4.75 ((~(v115(constB33) <=> (v116(constB33) | v123(constB33)))) | v115(constB33) | (~(v116(constB33) | v123(constB33)))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6692,plain,
% 6.61/4.75 (v115(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6691, 6690, 6688])).
% 6.61/4.75 tff(6693,plain,
% 6.61/4.75 ((v115(constB33) | v124(constB33)) | (~v115(constB33))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6694,plain,
% 6.61/4.75 (v115(constB33) | v124(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6693, 6692])).
% 6.61/4.75 tff(6695,plain,
% 6.61/4.75 ((~(v114(constB33) <=> (v115(constB33) | v124(constB33)))) | v114(constB33) | (~(v115(constB33) | v124(constB33)))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6696,plain,
% 6.61/4.75 (v114(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6695, 6694, 6686])).
% 6.61/4.75 tff(6697,plain,
% 6.61/4.75 ((v114(constB33) | v125(constB33)) | (~v114(constB33))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6698,plain,
% 6.61/4.75 (v114(constB33) | v125(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6697, 6696])).
% 6.61/4.75 tff(6699,plain,
% 6.61/4.75 ((~(v113(constB33) <=> (v114(constB33) | v125(constB33)))) | v113(constB33) | (~(v114(constB33) | v125(constB33)))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6700,plain,
% 6.61/4.75 (v113(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6699, 6698, 6684])).
% 6.61/4.75 tff(6701,plain,
% 6.61/4.75 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB33)) <=> v111(constB33))),
% 6.61/4.75 inference(quant_inst,[status(thm)],[])).
% 6.61/4.75 tff(6702,plain,
% 6.61/4.75 ((~v126(constB33)) <=> v111(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6701, 4118])).
% 6.61/4.75 tff(6703,plain,
% 6.61/4.75 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33) | v111(constB33)),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6704,plain,
% 6.61/4.75 ((~((~v126(constB33)) <=> v111(constB33))) | v126(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6703, 2816])).
% 6.61/4.75 tff(6705,plain,
% 6.61/4.75 (v126(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6704, 6702])).
% 6.61/4.75 tff(6706,plain,
% 6.61/4.75 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33)) | (~v126(constB33))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6707,plain,
% 6.61/4.75 ((~((~v113(constB33)) | (~v126(constB33)))) | (~v113(constB33))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6706, 6705])).
% 6.61/4.75 tff(6708,plain,
% 6.61/4.75 (~((~v113(constB33)) | (~v126(constB33)))),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6707, 6700])).
% 6.61/4.75 tff(6709,plain,
% 6.61/4.75 ((~(v112(constB33) <=> (~((~v113(constB33)) | (~v126(constB33)))))) | v112(constB33) | ((~v113(constB33)) | (~v126(constB33)))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.61/4.75 tff(6710,plain,
% 6.61/4.75 (v112(constB33)),
% 6.61/4.75 inference(unit_resolution,[status(thm)],[6709, 6708, 6682])).
% 6.61/4.75 tff(6711,plain,
% 6.61/4.75 ((v111(constB33) | v112(constB33)) | (~v112(constB33))),
% 6.61/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6712,plain,
% 6.64/4.75 (v111(constB33) | v112(constB33)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6711, 6710])).
% 6.64/4.75 tff(6713,plain,
% 6.64/4.75 ((~(v108(constB33) <=> (v111(constB33) | v112(constB33)))) | v108(constB33) | (~(v111(constB33) | v112(constB33)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6714,plain,
% 6.64/4.75 (v108(constB33)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6713, 6712, 6680])).
% 6.64/4.75 tff(6715,plain,
% 6.64/4.75 ((~(v110(constB34) <=> v108(constB33))) | v110(constB34) | (~v108(constB33))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6716,plain,
% 6.64/4.75 (v110(constB34)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6715, 6714, 6678])).
% 6.64/4.75 tff(6717,plain,
% 6.64/4.75 ((~((~v101(constB34)) | (~v110(constB34)))) | (~v101(constB34)) | (~v110(constB34))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6718,plain,
% 6.64/4.75 (~((~v101(constB34)) | (~v110(constB34)))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6717, 6716, 6674])).
% 6.64/4.75 tff(6719,plain,
% 6.64/4.75 ((~(v100(constB34) <=> (~((~v101(constB34)) | (~v110(constB34)))))) | v100(constB34) | ((~v101(constB34)) | (~v110(constB34)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6720,plain,
% 6.64/4.75 (v100(constB34)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6719, 6718, 6646])).
% 6.64/4.75 tff(6721,plain,
% 6.64/4.75 (((~![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)))))),
% 6.64/4.75 inference(rewrite,[status(thm)],[])).
% 6.64/4.75 tff(6722,plain,
% 6.64/4.75 (((~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)))))),
% 6.64/4.75 inference(rewrite,[status(thm)],[])).
% 6.64/4.75 tff(6723,plain,
% 6.64/4.75 (((~![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))))))),
% 6.64/4.75 inference(monotonicity,[status(thm)],[6722])).
% 6.64/4.75 tff(6724,plain,
% 6.64/4.75 (((~![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)))))),
% 6.64/4.75 inference(transitivity,[status(thm)],[6723, 6721])).
% 6.64/4.75 tff(6725,plain,
% 6.64/4.75 ((~![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)))))),
% 6.64/4.75 inference(quant_inst,[status(thm)],[])).
% 6.64/4.75 tff(6726,plain,
% 6.64/4.75 ((~![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))))),
% 6.64/4.75 inference(modus_ponens,[status(thm)],[6725, 6724])).
% 6.64/4.75 tff(6727,plain,
% 6.64/4.75 ((~v100(constB34)) | (~(((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6726, 4151])).
% 6.64/4.75 tff(6728,plain,
% 6.64/4.75 (~(((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6727, 6720])).
% 6.64/4.75 tff(6729,plain,
% 6.64/4.75 ((((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))) | (~((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6730,plain,
% 6.64/4.75 (~((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6729, 6728])).
% 6.64/4.75 tff(6731,plain,
% 6.64/4.75 (((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6732,plain,
% 6.64/4.75 (v90(constB34, bitIndex2)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6731, 6730, 6642])).
% 6.64/4.75 tff(6733,plain,
% 6.64/4.75 (((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | v90(constB35, bitIndex2) | (~v90(constB34, bitIndex2))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6734,plain,
% 6.64/4.75 (v90(constB35, bitIndex2)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6733, 6732, 2800])).
% 6.64/4.75 tff(6735,plain,
% 6.64/4.75 ((((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))) | (~((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6736,plain,
% 6.64/4.75 (~((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6735, 2798])).
% 6.64/4.75 tff(6737,plain,
% 6.64/4.75 ((((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0))) | (~((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6738,plain,
% 6.64/4.75 (~((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6737, 2807])).
% 6.64/4.75 tff(6739,plain,
% 6.64/4.75 ((((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1))) | (~((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6740,plain,
% 6.64/4.75 (~((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6739, 2821])).
% 6.64/4.75 tff(6741,plain,
% 6.64/4.75 ((v130(constB33, bitIndex1) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex0))) | v130(constB33, bitIndex0)),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6742,plain,
% 6.64/4.75 (v130(constB33, bitIndex0)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6741, 6636])).
% 6.64/4.75 tff(6743,plain,
% 6.64/4.75 (((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)) | v127(constB33, bitIndex0) | (~v130(constB33, bitIndex0))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6744,plain,
% 6.64/4.75 (v127(constB33, bitIndex0)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6743, 6742, 6740])).
% 6.64/4.75 tff(6745,plain,
% 6.64/4.75 (((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0)) | v129(constB34, bitIndex0) | (~v127(constB33, bitIndex0))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6746,plain,
% 6.64/4.75 (v129(constB34, bitIndex0)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6745, 6744, 6738])).
% 6.64/4.75 tff(6747,plain,
% 6.64/4.75 ((((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))) | (~((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6748,plain,
% 6.64/4.75 (~((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6747, 6728])).
% 6.64/4.75 tff(6749,plain,
% 6.64/4.75 (((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | v90(constB34, bitIndex0) | (~v129(constB34, bitIndex0))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6750,plain,
% 6.64/4.75 (v90(constB34, bitIndex0)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6749, 6748, 6746])).
% 6.64/4.75 tff(6751,plain,
% 6.64/4.75 (((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0)) | v90(constB35, bitIndex0) | (~v90(constB34, bitIndex0))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6752,plain,
% 6.64/4.75 (v90(constB35, bitIndex0)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6751, 6750, 6736])).
% 6.64/4.75 tff(6753,plain,
% 6.64/4.75 ((((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | ((~v90(constB35, bitIndex2)) <=> v90(constB34, bitIndex2)) | ((~v90(constB35, bitIndex0)) <=> v90(constB34, bitIndex0))) | (~((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6754,plain,
% 6.64/4.75 (~((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6753, 2798])).
% 6.64/4.75 tff(6755,plain,
% 6.64/4.75 ((((~v129(constB34, bitIndex2)) <=> v127(constB33, bitIndex2)) | ((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | ((~v129(constB34, bitIndex0)) <=> v127(constB33, bitIndex0))) | (~((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6756,plain,
% 6.64/4.75 (~((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6755, 2807])).
% 6.64/4.75 tff(6757,plain,
% 6.64/4.75 ((((~v127(constB33, bitIndex2)) <=> v130(constB33, bitIndex2)) | ((~v127(constB33, bitIndex0)) <=> v130(constB33, bitIndex0)) | ((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1))) | (~((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6758,plain,
% 6.64/4.75 (~((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6757, 2821])).
% 6.64/4.75 tff(6759,plain,
% 6.64/4.75 ((v130(constB33, bitIndex1) | (~v130(constB33, bitIndex2)) | (~v130(constB33, bitIndex0))) | (~v130(constB33, bitIndex1))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6760,plain,
% 6.64/4.75 (~v130(constB33, bitIndex1)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6759, 6636])).
% 6.64/4.75 tff(6761,plain,
% 6.64/4.75 (((~v127(constB33, bitIndex1)) <=> v130(constB33, bitIndex1)) | (~v127(constB33, bitIndex1)) | v130(constB33, bitIndex1)),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6762,plain,
% 6.64/4.75 (~v127(constB33, bitIndex1)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6761, 6760, 6758])).
% 6.64/4.75 tff(6763,plain,
% 6.64/4.75 (((~v129(constB34, bitIndex1)) <=> v127(constB33, bitIndex1)) | (~v129(constB34, bitIndex1)) | v127(constB33, bitIndex1)),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6764,plain,
% 6.64/4.75 (~v129(constB34, bitIndex1)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6763, 6762, 6756])).
% 6.64/4.75 tff(6765,plain,
% 6.64/4.75 ((((~v90(constB34, bitIndex0)) <=> v129(constB34, bitIndex0)) | ((~v90(constB34, bitIndex2)) <=> v129(constB34, bitIndex2)) | ((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))) | (~((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6766,plain,
% 6.64/4.75 (~((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6765, 6728])).
% 6.64/4.75 tff(6767,plain,
% 6.64/4.75 (((~v90(constB34, bitIndex1)) <=> v129(constB34, bitIndex1)) | (~v90(constB34, bitIndex1)) | v129(constB34, bitIndex1)),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6768,plain,
% 6.64/4.75 (~v90(constB34, bitIndex1)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6767, 6766, 6764])).
% 6.64/4.75 tff(6769,plain,
% 6.64/4.75 (((~v90(constB35, bitIndex1)) <=> v90(constB34, bitIndex1)) | (~v90(constB35, bitIndex1)) | v90(constB34, bitIndex1)),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6770,plain,
% 6.64/4.75 (~v90(constB35, bitIndex1)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6769, 6768, 6754])).
% 6.64/4.75 tff(6771,plain,
% 6.64/4.75 ((~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0)))) | v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6772,plain,
% 6.64/4.75 (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0)))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6771, 6770, 6752, 6734])).
% 6.64/4.75 tff(6773,plain,
% 6.64/4.75 ((~(v124(constB35) <=> (~(v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0)))))) | v124(constB35) | (v90(constB35, bitIndex1) | (~v90(constB35, bitIndex2)) | (~v90(constB35, bitIndex0)))),
% 6.64/4.75 inference(tautology,[status(thm)],[])).
% 6.64/4.75 tff(6774,plain,
% 6.64/4.75 (v124(constB35)),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6773, 6772, 2764])).
% 6.64/4.75 tff(6775,plain,
% 6.64/4.75 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB35)) | (~(v130(constB35, bitIndex0) | (~v130(constB35, bitIndex2)) | (~v130(constB35, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB35)) | (~(v130(constB35, bitIndex0) | (~v130(constB35, bitIndex2)) | (~v130(constB35, bitIndex1)))))),
% 6.64/4.75 inference(rewrite,[status(thm)],[])).
% 6.64/4.75 tff(6776,plain,
% 6.64/4.75 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB35)) | (~(v130(constB35, bitIndex0) | (~v130(constB35, bitIndex2)) | (~v130(constB35, bitIndex1)))))),
% 6.64/4.75 inference(quant_inst,[status(thm)],[])).
% 6.64/4.75 tff(6777,plain,
% 6.64/4.75 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB35)) | (~(v130(constB35, bitIndex0) | (~v130(constB35, bitIndex2)) | (~v130(constB35, bitIndex1))))),
% 6.64/4.75 inference(modus_ponens,[status(thm)],[6776, 6775])).
% 6.64/4.75 tff(6778,plain,
% 6.64/4.75 ((~v124(constB35)) | (~(v130(constB35, bitIndex0) | (~v130(constB35, bitIndex2)) | (~v130(constB35, bitIndex1))))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6777, 4878])).
% 6.64/4.75 tff(6779,plain,
% 6.64/4.75 (~(v130(constB35, bitIndex0) | (~v130(constB35, bitIndex2)) | (~v130(constB35, bitIndex1)))),
% 6.64/4.75 inference(unit_resolution,[status(thm)],[6778, 6774])).
% 6.64/4.75 tff(6780,plain,
% 6.64/4.75 ((v130(constB35, bitIndex0) | (~v130(constB35, bitIndex2)) | (~v130(constB35, bitIndex1))) | v130(constB35, bitIndex2)),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6781,plain,
% 6.64/4.76 (v130(constB35, bitIndex2)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6780, 6779])).
% 6.64/4.76 tff(6782,plain,
% 6.64/4.76 (((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | v127(constB35, bitIndex2) | (~v130(constB35, bitIndex2))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6783,plain,
% 6.64/4.76 (v127(constB35, bitIndex2)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6782, 6781, 2757])).
% 6.64/4.76 tff(6784,plain,
% 6.64/4.76 (((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | v129(constB36, bitIndex2) | (~v127(constB35, bitIndex2))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6785,plain,
% 6.64/4.76 (v129(constB36, bitIndex2)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6784, 6783, 2743])).
% 6.64/4.76 tff(6786,plain,
% 6.64/4.76 (((~![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))))))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6787,plain,
% 6.64/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6788,plain,
% 6.64/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB35, constB36)) | (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))),
% 6.64/4.76 inference(modus_ponens,[status(thm)],[6787, 6786])).
% 6.64/4.76 tff(6789,plain,
% 6.64/4.76 (v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36))))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6788, 2737, 433])).
% 6.64/4.76 tff(6790,plain,
% 6.64/4.76 (((~![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))))))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6791,plain,
% 6.64/4.76 (((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36)))))) <=> ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6792,plain,
% 6.64/4.76 (((~![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)))))))),
% 6.64/4.76 inference(monotonicity,[status(thm)],[6791])).
% 6.64/4.76 tff(6793,plain,
% 6.64/4.76 (((~![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))))))),
% 6.64/4.76 inference(transitivity,[status(thm)],[6792, 6790])).
% 6.64/4.76 tff(6794,plain,
% 6.64/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v102(constB36)) | (~v1(constB36))))))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6795,plain,
% 6.64/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))),
% 6.64/4.76 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 6.64/4.76 tff(6796,plain,
% 6.64/4.76 (v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36))))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6795, 2737, 453])).
% 6.64/4.76 tff(6797,plain,
% 6.64/4.76 (((~![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)))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6798,plain,
% 6.64/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36)))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6799,plain,
% 6.64/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB35, constB36)) | ((~v102(constB36)) <=> v104(constB36))),
% 6.64/4.76 inference(modus_ponens,[status(thm)],[6798, 6797])).
% 6.64/4.76 tff(6800,plain,
% 6.64/4.76 ((~v102(constB36)) <=> v104(constB36)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6799, 2737, 3966])).
% 6.64/4.76 tff(6801,plain,
% 6.64/4.76 (((~![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)))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6802,plain,
% 6.64/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35)))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6803,plain,
% 6.64/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v1(constB35))),
% 6.64/4.76 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 6.64/4.76 tff(6804,plain,
% 6.64/4.76 (v104(constB36) <=> v1(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6803, 2737, 3980])).
% 6.64/4.76 tff(6805,plain,
% 6.64/4.76 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36)) | v1(constB35)),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6806,plain,
% 6.64/4.76 ((~(v104(constB36) <=> v1(constB35))) | (~v104(constB36))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6805, 2781])).
% 6.64/4.76 tff(6807,plain,
% 6.64/4.76 (~v104(constB36)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6806, 6804])).
% 6.64/4.76 tff(6808,plain,
% 6.64/4.76 ((~((~v102(constB36)) <=> v104(constB36))) | v102(constB36) | v104(constB36)),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6809,plain,
% 6.64/4.76 (v102(constB36)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6808, 6807, 6800])).
% 6.64/4.76 tff(6810,plain,
% 6.64/4.76 (v1(constB36) <=> v1(constB36)),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6811,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36')).
% 6.64/4.76 tff(6812,plain,
% 6.64/4.76 (v1(constB36)),
% 6.64/4.76 inference(modus_ponens,[status(thm)],[6811, 6810])).
% 6.64/4.76 tff(6813,plain,
% 6.64/4.76 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v1(constB36)) | (~v102(constB36))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6814,plain,
% 6.64/4.76 ((~((~v1(constB36)) | (~v102(constB36)))) | (~v102(constB36))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6813, 6812])).
% 6.64/4.76 tff(6815,plain,
% 6.64/4.76 (~((~v1(constB36)) | (~v102(constB36)))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6814, 6809])).
% 6.64/4.76 tff(6816,plain,
% 6.64/4.76 ((~(v101(constB36) <=> (~((~v1(constB36)) | (~v102(constB36)))))) | v101(constB36) | ((~v1(constB36)) | (~v102(constB36)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6817,plain,
% 6.64/4.76 (v101(constB36)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6816, 6815, 6796])).
% 6.64/4.76 tff(6818,plain,
% 6.64/4.76 (((~![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)))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6819,plain,
% 6.64/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35)))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6820,plain,
% 6.64/4.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB35, constB36)) | (v110(constB36) <=> v108(constB35))),
% 6.64/4.76 inference(modus_ponens,[status(thm)],[6819, 6818])).
% 6.64/4.76 tff(6821,plain,
% 6.64/4.76 (v110(constB36) <=> v108(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6820, 2737, 4007])).
% 6.64/4.76 tff(6822,plain,
% 6.64/4.76 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB35) <=> (v111(constB35) | v112(constB35)))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6823,plain,
% 6.64/4.76 (v108(constB35) <=> (v111(constB35) | v112(constB35))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6822, 4018])).
% 6.64/4.76 tff(6824,plain,
% 6.64/4.76 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6825,plain,
% 6.64/4.76 (v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35))))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6824, 4030])).
% 6.64/4.76 tff(6826,plain,
% 6.64/4.76 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB35) <=> (v114(constB35) | v125(constB35)))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6827,plain,
% 6.64/4.76 (v113(constB35) <=> (v114(constB35) | v125(constB35))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6826, 4039])).
% 6.64/4.76 tff(6828,plain,
% 6.64/4.76 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB35) <=> (v115(constB35) | v124(constB35)))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6829,plain,
% 6.64/4.76 (v114(constB35) <=> (v115(constB35) | v124(constB35))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6828, 4048])).
% 6.64/4.76 tff(6830,plain,
% 6.64/4.76 ((v115(constB35) | v124(constB35)) | (~v124(constB35))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6831,plain,
% 6.64/4.76 (v115(constB35) | v124(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6830, 6774])).
% 6.64/4.76 tff(6832,plain,
% 6.64/4.76 ((~(v114(constB35) <=> (v115(constB35) | v124(constB35)))) | v114(constB35) | (~(v115(constB35) | v124(constB35)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6833,plain,
% 6.64/4.76 (v114(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6832, 6831, 6829])).
% 6.64/4.76 tff(6834,plain,
% 6.64/4.76 ((v114(constB35) | v125(constB35)) | (~v114(constB35))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6835,plain,
% 6.64/4.76 (v114(constB35) | v125(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6834, 6833])).
% 6.64/4.76 tff(6836,plain,
% 6.64/4.76 ((~(v113(constB35) <=> (v114(constB35) | v125(constB35)))) | v113(constB35) | (~(v114(constB35) | v125(constB35)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6837,plain,
% 6.64/4.76 (v113(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6836, 6835, 6827])).
% 6.64/4.76 tff(6838,plain,
% 6.64/4.76 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB35)) <=> v111(constB35))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6839,plain,
% 6.64/4.76 ((~v126(constB35)) <=> v111(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6838, 4118])).
% 6.64/4.76 tff(6840,plain,
% 6.64/4.76 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35) | v111(constB35)),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6841,plain,
% 6.64/4.76 ((~((~v126(constB35)) <=> v111(constB35))) | v126(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6840, 2750])).
% 6.64/4.76 tff(6842,plain,
% 6.64/4.76 (v126(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6841, 6839])).
% 6.64/4.76 tff(6843,plain,
% 6.64/4.76 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35)) | (~v126(constB35))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6844,plain,
% 6.64/4.76 ((~((~v113(constB35)) | (~v126(constB35)))) | (~v113(constB35))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6843, 6842])).
% 6.64/4.76 tff(6845,plain,
% 6.64/4.76 (~((~v113(constB35)) | (~v126(constB35)))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6844, 6837])).
% 6.64/4.76 tff(6846,plain,
% 6.64/4.76 ((~(v112(constB35) <=> (~((~v113(constB35)) | (~v126(constB35)))))) | v112(constB35) | ((~v113(constB35)) | (~v126(constB35)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6847,plain,
% 6.64/4.76 (v112(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6846, 6845, 6825])).
% 6.64/4.76 tff(6848,plain,
% 6.64/4.76 ((v111(constB35) | v112(constB35)) | (~v112(constB35))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6849,plain,
% 6.64/4.76 (v111(constB35) | v112(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6848, 6847])).
% 6.64/4.76 tff(6850,plain,
% 6.64/4.76 ((~(v108(constB35) <=> (v111(constB35) | v112(constB35)))) | v108(constB35) | (~(v111(constB35) | v112(constB35)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6851,plain,
% 6.64/4.76 (v108(constB35)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6850, 6849, 6823])).
% 6.64/4.76 tff(6852,plain,
% 6.64/4.76 ((~(v110(constB36) <=> v108(constB35))) | v110(constB36) | (~v108(constB35))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6853,plain,
% 6.64/4.76 (v110(constB36)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6852, 6851, 6821])).
% 6.64/4.76 tff(6854,plain,
% 6.64/4.76 ((~((~v101(constB36)) | (~v110(constB36)))) | (~v101(constB36)) | (~v110(constB36))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6855,plain,
% 6.64/4.76 (~((~v101(constB36)) | (~v110(constB36)))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6854, 6853, 6817])).
% 6.64/4.76 tff(6856,plain,
% 6.64/4.76 ((~(v100(constB36) <=> (~((~v101(constB36)) | (~v110(constB36)))))) | v100(constB36) | ((~v101(constB36)) | (~v110(constB36)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6857,plain,
% 6.64/4.76 (v100(constB36)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6856, 6855, 6789])).
% 6.64/4.76 tff(6858,plain,
% 6.64/4.76 (((~![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)))))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6859,plain,
% 6.64/4.76 ((~![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)))))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6860,plain,
% 6.64/4.76 ((~![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))))),
% 6.64/4.76 inference(modus_ponens,[status(thm)],[6859, 6858])).
% 6.64/4.76 tff(6861,plain,
% 6.64/4.76 ((~v100(constB36)) | (~(((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0))))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6860, 4151])).
% 6.64/4.76 tff(6862,plain,
% 6.64/4.76 (~(((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0)))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6861, 6857])).
% 6.64/4.76 tff(6863,plain,
% 6.64/4.76 ((((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0))) | (~((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6864,plain,
% 6.64/4.76 (~((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6863, 6862])).
% 6.64/4.76 tff(6865,plain,
% 6.64/4.76 (((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | v90(constB36, bitIndex2) | (~v129(constB36, bitIndex2))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6866,plain,
% 6.64/4.76 (v90(constB36, bitIndex2)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6865, 6864, 6785])).
% 6.64/4.76 tff(6867,plain,
% 6.64/4.76 (((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | v90(constB37, bitIndex2) | (~v90(constB36, bitIndex2))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6868,plain,
% 6.64/4.76 (v90(constB37, bitIndex2)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6867, 6866, 2734])).
% 6.64/4.76 tff(6869,plain,
% 6.64/4.76 ((v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex2))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6870,plain,
% 6.64/4.76 (v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6869, 6868])).
% 6.64/4.76 tff(6871,plain,
% 6.64/4.76 ((~(v119(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))))) | (~v119(constB37)) | (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6872,plain,
% 6.64/4.76 (~v119(constB37)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6871, 6870, 2698])).
% 6.64/4.76 tff(6873,plain,
% 6.64/4.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex0))))))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6874,plain,
% 6.64/4.76 ((v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2))))) <=> (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex0)))))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6875,plain,
% 6.64/4.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex0))))))),
% 6.64/4.76 inference(monotonicity,[status(thm)],[6874])).
% 6.64/4.76 tff(6876,plain,
% 6.64/4.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex0))))))),
% 6.64/4.76 inference(transitivity,[status(thm)],[6875, 6873])).
% 6.64/4.76 tff(6877,plain,
% 6.64/4.76 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex2)))))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6878,plain,
% 6.64/4.76 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex0)))))),
% 6.64/4.76 inference(modus_ponens,[status(thm)],[6877, 6876])).
% 6.64/4.76 tff(6879,plain,
% 6.64/4.76 (v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex0))))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6878, 801])).
% 6.64/4.76 tff(6880,plain,
% 6.64/4.76 ((((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))) | (~((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6881,plain,
% 6.64/4.76 (~((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6880, 2732])).
% 6.64/4.76 tff(6882,plain,
% 6.64/4.76 ((((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0))) | (~((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6883,plain,
% 6.64/4.76 (~((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6882, 2741])).
% 6.64/4.76 tff(6884,plain,
% 6.64/4.76 ((((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1))) | (~((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6885,plain,
% 6.64/4.76 (~((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6884, 2755])).
% 6.64/4.76 tff(6886,plain,
% 6.64/4.76 ((v130(constB35, bitIndex0) | (~v130(constB35, bitIndex2)) | (~v130(constB35, bitIndex1))) | v130(constB35, bitIndex1)),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6887,plain,
% 6.64/4.76 (v130(constB35, bitIndex1)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6886, 6779])).
% 6.64/4.76 tff(6888,plain,
% 6.64/4.76 (((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1)) | v127(constB35, bitIndex1) | (~v130(constB35, bitIndex1))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6889,plain,
% 6.64/4.76 (v127(constB35, bitIndex1)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6888, 6887, 6885])).
% 6.64/4.76 tff(6890,plain,
% 6.64/4.76 (((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | v129(constB36, bitIndex1) | (~v127(constB35, bitIndex1))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6891,plain,
% 6.64/4.76 (v129(constB36, bitIndex1)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6890, 6889, 6883])).
% 6.64/4.76 tff(6892,plain,
% 6.64/4.76 ((((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0))) | (~((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6893,plain,
% 6.64/4.76 (~((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6892, 6862])).
% 6.64/4.76 tff(6894,plain,
% 6.64/4.76 (((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | v90(constB36, bitIndex1) | (~v129(constB36, bitIndex1))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6895,plain,
% 6.64/4.76 (v90(constB36, bitIndex1)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6894, 6893, 6891])).
% 6.64/4.76 tff(6896,plain,
% 6.64/4.76 (((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | v90(constB37, bitIndex1) | (~v90(constB36, bitIndex1))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6897,plain,
% 6.64/4.76 (v90(constB37, bitIndex1)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6896, 6895, 6881])).
% 6.64/4.76 tff(6898,plain,
% 6.64/4.76 ((v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex0))) | (~v90(constB37, bitIndex1))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6899,plain,
% 6.64/4.76 (v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex0))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6898, 6897])).
% 6.64/4.76 tff(6900,plain,
% 6.64/4.76 ((~(v124(constB37) <=> (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex0)))))) | (~v124(constB37)) | (~(v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)) | (~v90(constB37, bitIndex0))))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6901,plain,
% 6.64/4.76 (~v124(constB37)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6900, 6899, 6879])).
% 6.64/4.76 tff(6902,plain,
% 6.64/4.76 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2))))))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6903,plain,
% 6.64/4.76 ((v123(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2))))) <=> (v123(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2)))))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6904,plain,
% 6.64/4.76 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2))))))),
% 6.64/4.76 inference(monotonicity,[status(thm)],[6903])).
% 6.64/4.76 tff(6905,plain,
% 6.64/4.76 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2))))))),
% 6.64/4.76 inference(transitivity,[status(thm)],[6904, 6902])).
% 6.64/4.76 tff(6906,plain,
% 6.64/4.76 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex1) | (~v90(constB37, bitIndex2)))))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6907,plain,
% 6.64/4.76 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2)))))),
% 6.64/4.76 inference(modus_ponens,[status(thm)],[6906, 6905])).
% 6.64/4.76 tff(6908,plain,
% 6.64/4.76 (v123(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2))))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6907, 880])).
% 6.64/4.76 tff(6909,plain,
% 6.64/4.76 ((v90(constB37, bitIndex1) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2))) | (~v90(constB37, bitIndex1))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6910,plain,
% 6.64/4.76 (v90(constB37, bitIndex1) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6909, 6897])).
% 6.64/4.76 tff(6911,plain,
% 6.64/4.76 ((~(v123(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2)))))) | (~v123(constB37)) | (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex2))))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6912,plain,
% 6.64/4.76 (~v123(constB37)),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6911, 6910, 6908])).
% 6.64/4.76 tff(6913,plain,
% 6.64/4.76 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6914,plain,
% 6.64/4.76 ((v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1))))) <=> (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0)))))),
% 6.64/4.76 inference(rewrite,[status(thm)],[])).
% 6.64/4.76 tff(6915,plain,
% 6.64/4.76 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))))),
% 6.64/4.76 inference(monotonicity,[status(thm)],[6914])).
% 6.64/4.76 tff(6916,plain,
% 6.64/4.76 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))))),
% 6.64/4.76 inference(transitivity,[status(thm)],[6915, 6913])).
% 6.64/4.76 tff(6917,plain,
% 6.64/4.76 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)) | (~v90(constB37, bitIndex1)))))),
% 6.64/4.76 inference(quant_inst,[status(thm)],[])).
% 6.64/4.76 tff(6918,plain,
% 6.64/4.76 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0)))))),
% 6.64/4.76 inference(modus_ponens,[status(thm)],[6917, 6916])).
% 6.64/4.76 tff(6919,plain,
% 6.64/4.76 (v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6918, 959])).
% 6.64/4.76 tff(6920,plain,
% 6.64/4.76 ((v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))) | (~v90(constB37, bitIndex2))),
% 6.64/4.76 inference(tautology,[status(thm)],[])).
% 6.64/4.76 tff(6921,plain,
% 6.64/4.76 (v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))),
% 6.64/4.76 inference(unit_resolution,[status(thm)],[6920, 6868])).
% 6.64/4.76 tff(6922,plain,
% 6.64/4.76 ((~(v122(constB37) <=> (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0)))))) | (~v122(constB37)) | (~(v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex0))))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6923,plain,
% 6.64/4.77 (~v122(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6922, 6921, 6919])).
% 6.64/4.77 tff(6924,plain,
% 6.64/4.77 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1))))))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6925,plain,
% 6.64/4.77 ((v121(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1))))) <=> (v121(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)))))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6926,plain,
% 6.64/4.77 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1))))))),
% 6.64/4.77 inference(monotonicity,[status(thm)],[6925])).
% 6.64/4.77 tff(6927,plain,
% 6.64/4.77 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1))))))),
% 6.64/4.77 inference(transitivity,[status(thm)],[6926, 6924])).
% 6.64/4.77 tff(6928,plain,
% 6.64/4.77 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex0) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex1)))))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(6929,plain,
% 6.64/4.77 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)))))),
% 6.64/4.77 inference(modus_ponens,[status(thm)],[6928, 6927])).
% 6.64/4.77 tff(6930,plain,
% 6.64/4.77 (v121(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1))))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6929, 574])).
% 6.64/4.77 tff(6931,plain,
% 6.64/4.77 ((v90(constB37, bitIndex2) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1))) | (~v90(constB37, bitIndex2))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6932,plain,
% 6.64/4.77 (v90(constB37, bitIndex2) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6931, 6868])).
% 6.64/4.77 tff(6933,plain,
% 6.64/4.77 ((~(v121(constB37) <=> (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)))))) | (~v121(constB37)) | (~(v90(constB37, bitIndex2) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1))))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6934,plain,
% 6.64/4.77 (~v121(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6933, 6932, 6930])).
% 6.64/4.77 tff(6935,plain,
% 6.64/4.77 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(6936,plain,
% 6.64/4.77 (v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0))))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6935, 653])).
% 6.64/4.77 tff(6937,plain,
% 6.64/4.77 ((v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0))) | (~v90(constB37, bitIndex2))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6938,plain,
% 6.64/4.77 (v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6937, 6868])).
% 6.64/4.77 tff(6939,plain,
% 6.64/4.77 ((~(v120(constB37) <=> (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0)))))) | (~v120(constB37)) | (~(v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | (~v90(constB37, bitIndex0))))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6940,plain,
% 6.64/4.77 (~v120(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6939, 6938, 6936])).
% 6.64/4.77 tff(6941,plain,
% 6.64/4.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v121(constB37) | v119(constB37) | v120(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v121(constB37) | v119(constB37) | v120(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0)))))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6942,plain,
% 6.64/4.77 ((v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0))))) <=> (v121(constB37) | v119(constB37) | v120(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0)))))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6943,plain,
% 6.64/4.77 ((~(v130(constB37, bitIndex1) | v130(constB37, bitIndex2) | (~v130(constB37, bitIndex0)))) <=> (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0))))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6944,plain,
% 6.64/4.77 ((v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~(v130(constB37, bitIndex1) | v130(constB37, bitIndex2) | (~v130(constB37, bitIndex0))))) <=> (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0)))))),
% 6.64/4.77 inference(monotonicity,[status(thm)],[6943])).
% 6.64/4.77 tff(6945,plain,
% 6.64/4.77 ((v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~(v130(constB37, bitIndex1) | v130(constB37, bitIndex2) | (~v130(constB37, bitIndex0))))) <=> (v121(constB37) | v119(constB37) | v120(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0)))))),
% 6.64/4.77 inference(transitivity,[status(thm)],[6944, 6942])).
% 6.64/4.77 tff(6946,plain,
% 6.64/4.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~(v130(constB37, bitIndex1) | v130(constB37, bitIndex2) | (~v130(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v121(constB37) | v119(constB37) | v120(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0))))))),
% 6.64/4.77 inference(monotonicity,[status(thm)],[6945])).
% 6.64/4.77 tff(6947,plain,
% 6.64/4.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~(v130(constB37, bitIndex1) | v130(constB37, bitIndex2) | (~v130(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v121(constB37) | v119(constB37) | v120(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0)))))),
% 6.64/4.77 inference(transitivity,[status(thm)],[6946, 6941])).
% 6.64/4.77 tff(6948,plain,
% 6.64/4.77 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB37) | v123(constB37) | v122(constB37) | v121(constB37) | v120(constB37) | v119(constB37) | (~(v130(constB37, bitIndex1) | v130(constB37, bitIndex2) | (~v130(constB37, bitIndex0)))))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(6949,plain,
% 6.64/4.77 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v121(constB37) | v119(constB37) | v120(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0))))),
% 6.64/4.77 inference(modus_ponens,[status(thm)],[6948, 6947])).
% 6.64/4.77 tff(6950,plain,
% 6.64/4.77 (v121(constB37) | v119(constB37) | v120(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0))))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6949, 5057])).
% 6.64/4.77 tff(6951,plain,
% 6.64/4.77 (~(v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0)))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6950, 6940, 6934, 6923, 6912, 6901, 6872])).
% 6.64/4.77 tff(6952,plain,
% 6.64/4.77 ((v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0))) | (~v130(constB37, bitIndex2))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6953,plain,
% 6.64/4.77 (~v130(constB37, bitIndex2)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6952, 6951])).
% 6.64/4.77 tff(6954,plain,
% 6.64/4.77 (((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | (~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6955,plain,
% 6.64/4.77 (~v127(constB37, bitIndex2)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6954, 6953, 2696])).
% 6.64/4.77 tff(6956,plain,
% 6.64/4.77 (((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | (~v129(constB38, bitIndex2)) | v127(constB37, bitIndex2)),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6957,plain,
% 6.64/4.77 (~v129(constB38, bitIndex2)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6956, 6955, 2682])).
% 6.64/4.77 tff(6958,plain,
% 6.64/4.77 (((~![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))))))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6959,plain,
% 6.64/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(6960,plain,
% 6.64/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB37, constB38)) | (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))),
% 6.64/4.77 inference(modus_ponens,[status(thm)],[6959, 6958])).
% 6.64/4.77 tff(6961,plain,
% 6.64/4.77 (v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38))))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6960, 2676, 433])).
% 6.64/4.77 tff(6962,plain,
% 6.64/4.77 (((~![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))))))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6963,plain,
% 6.64/4.77 (((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38)))))) <=> ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6964,plain,
% 6.64/4.77 (((~![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)))))))),
% 6.64/4.77 inference(monotonicity,[status(thm)],[6963])).
% 6.64/4.77 tff(6965,plain,
% 6.64/4.77 (((~![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))))))),
% 6.64/4.77 inference(transitivity,[status(thm)],[6964, 6962])).
% 6.64/4.77 tff(6966,plain,
% 6.64/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v102(constB38)) | (~v1(constB38))))))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(6967,plain,
% 6.64/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))),
% 6.64/4.77 inference(modus_ponens,[status(thm)],[6966, 6965])).
% 6.64/4.77 tff(6968,plain,
% 6.64/4.77 (v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38))))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6967, 2676, 453])).
% 6.64/4.77 tff(6969,plain,
% 6.64/4.77 (((~![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)))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6970,plain,
% 6.64/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38)))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(6971,plain,
% 6.64/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB37, constB38)) | ((~v102(constB38)) <=> v104(constB38))),
% 6.64/4.77 inference(modus_ponens,[status(thm)],[6970, 6969])).
% 6.64/4.77 tff(6972,plain,
% 6.64/4.77 ((~v102(constB38)) <=> v104(constB38)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6971, 2676, 3966])).
% 6.64/4.77 tff(6973,plain,
% 6.64/4.77 (((~![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)))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6974,plain,
% 6.64/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37)))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(6975,plain,
% 6.64/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v1(constB37))),
% 6.64/4.77 inference(modus_ponens,[status(thm)],[6974, 6973])).
% 6.64/4.77 tff(6976,plain,
% 6.64/4.77 (v104(constB38) <=> v1(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6975, 2676, 3980])).
% 6.64/4.77 tff(6977,plain,
% 6.64/4.77 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38)) | v1(constB37)),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6978,plain,
% 6.64/4.77 ((~(v104(constB38) <=> v1(constB37))) | (~v104(constB38))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6977, 2715])).
% 6.64/4.77 tff(6979,plain,
% 6.64/4.77 (~v104(constB38)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6978, 6976])).
% 6.64/4.77 tff(6980,plain,
% 6.64/4.77 ((~((~v102(constB38)) <=> v104(constB38))) | v102(constB38) | v104(constB38)),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6981,plain,
% 6.64/4.77 (v102(constB38)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6980, 6979, 6972])).
% 6.64/4.77 tff(6982,plain,
% 6.64/4.77 (v1(constB38) <=> v1(constB38)),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6983,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38')).
% 6.64/4.77 tff(6984,plain,
% 6.64/4.77 (v1(constB38)),
% 6.64/4.77 inference(modus_ponens,[status(thm)],[6983, 6982])).
% 6.64/4.77 tff(6985,plain,
% 6.64/4.77 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v1(constB38)) | (~v102(constB38))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6986,plain,
% 6.64/4.77 ((~((~v1(constB38)) | (~v102(constB38)))) | (~v102(constB38))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6985, 6984])).
% 6.64/4.77 tff(6987,plain,
% 6.64/4.77 (~((~v1(constB38)) | (~v102(constB38)))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6986, 6981])).
% 6.64/4.77 tff(6988,plain,
% 6.64/4.77 ((~(v101(constB38) <=> (~((~v1(constB38)) | (~v102(constB38)))))) | v101(constB38) | ((~v1(constB38)) | (~v102(constB38)))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(6989,plain,
% 6.64/4.77 (v101(constB38)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6988, 6987, 6968])).
% 6.64/4.77 tff(6990,plain,
% 6.64/4.77 (((~![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)))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(6991,plain,
% 6.64/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37)))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(6992,plain,
% 6.64/4.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB37, constB38)) | (v110(constB38) <=> v108(constB37))),
% 6.64/4.77 inference(modus_ponens,[status(thm)],[6991, 6990])).
% 6.64/4.77 tff(6993,plain,
% 6.64/4.77 (v110(constB38) <=> v108(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6992, 2676, 4007])).
% 6.64/4.77 tff(6994,plain,
% 6.64/4.77 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB37) <=> (v111(constB37) | v112(constB37)))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(6995,plain,
% 6.64/4.77 (v108(constB37) <=> (v111(constB37) | v112(constB37))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6994, 4018])).
% 6.64/4.77 tff(6996,plain,
% 6.64/4.77 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(6997,plain,
% 6.64/4.77 (v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37))))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6996, 4030])).
% 6.64/4.77 tff(6998,plain,
% 6.64/4.77 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB37) <=> (v114(constB37) | v125(constB37)))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(6999,plain,
% 6.64/4.77 (v113(constB37) <=> (v114(constB37) | v125(constB37))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[6998, 4039])).
% 6.64/4.77 tff(7000,plain,
% 6.64/4.77 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB37) <=> (~(v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)))))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(7001,plain,
% 6.64/4.77 (v125(constB37) <=> (~(v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2))))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7000, 5129])).
% 6.64/4.77 tff(7002,plain,
% 6.64/4.77 ((((~v90(constB37, bitIndex1)) <=> v90(constB36, bitIndex1)) | ((~v90(constB37, bitIndex2)) <=> v90(constB36, bitIndex2)) | ((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))) | (~((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7003,plain,
% 6.64/4.77 (~((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7002, 2732])).
% 6.64/4.77 tff(7004,plain,
% 6.64/4.77 ((((~v129(constB36, bitIndex2)) <=> v127(constB35, bitIndex2)) | ((~v129(constB36, bitIndex1)) <=> v127(constB35, bitIndex1)) | ((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0))) | (~((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0)))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7005,plain,
% 6.64/4.77 (~((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7004, 2741])).
% 6.64/4.77 tff(7006,plain,
% 6.64/4.77 ((((~v127(constB35, bitIndex2)) <=> v130(constB35, bitIndex2)) | ((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)) | ((~v127(constB35, bitIndex1)) <=> v130(constB35, bitIndex1))) | (~((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7007,plain,
% 6.64/4.77 (~((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7006, 2755])).
% 6.64/4.77 tff(7008,plain,
% 6.64/4.77 ((v130(constB35, bitIndex0) | (~v130(constB35, bitIndex2)) | (~v130(constB35, bitIndex1))) | (~v130(constB35, bitIndex0))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7009,plain,
% 6.64/4.77 (~v130(constB35, bitIndex0)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7008, 6779])).
% 6.64/4.77 tff(7010,plain,
% 6.64/4.77 (((~v127(constB35, bitIndex0)) <=> v130(constB35, bitIndex0)) | (~v127(constB35, bitIndex0)) | v130(constB35, bitIndex0)),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7011,plain,
% 6.64/4.77 (~v127(constB35, bitIndex0)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7010, 7009, 7007])).
% 6.64/4.77 tff(7012,plain,
% 6.64/4.77 (((~v129(constB36, bitIndex0)) <=> v127(constB35, bitIndex0)) | (~v129(constB36, bitIndex0)) | v127(constB35, bitIndex0)),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7013,plain,
% 6.64/4.77 (~v129(constB36, bitIndex0)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7012, 7011, 7005])).
% 6.64/4.77 tff(7014,plain,
% 6.64/4.77 ((((~v90(constB36, bitIndex2)) <=> v129(constB36, bitIndex2)) | ((~v90(constB36, bitIndex1)) <=> v129(constB36, bitIndex1)) | ((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0))) | (~((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0)))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7015,plain,
% 6.64/4.77 (~((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7014, 6862])).
% 6.64/4.77 tff(7016,plain,
% 6.64/4.77 (((~v90(constB36, bitIndex0)) <=> v129(constB36, bitIndex0)) | (~v90(constB36, bitIndex0)) | v129(constB36, bitIndex0)),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7017,plain,
% 6.64/4.77 (~v90(constB36, bitIndex0)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7016, 7015, 7013])).
% 6.64/4.77 tff(7018,plain,
% 6.64/4.77 (((~v90(constB37, bitIndex0)) <=> v90(constB36, bitIndex0)) | (~v90(constB37, bitIndex0)) | v90(constB36, bitIndex0)),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7019,plain,
% 6.64/4.77 (~v90(constB37, bitIndex0)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7018, 7017, 7003])).
% 6.64/4.77 tff(7020,plain,
% 6.64/4.77 ((~(v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)))) | v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7021,plain,
% 6.64/4.77 (~(v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7020, 6897, 7019, 6868])).
% 6.64/4.77 tff(7022,plain,
% 6.64/4.77 ((~(v125(constB37) <=> (~(v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)))))) | v125(constB37) | (v90(constB37, bitIndex0) | (~v90(constB37, bitIndex1)) | (~v90(constB37, bitIndex2)))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7023,plain,
% 6.64/4.77 (v125(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7022, 7021, 7001])).
% 6.64/4.77 tff(7024,plain,
% 6.64/4.77 ((v114(constB37) | v125(constB37)) | (~v125(constB37))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7025,plain,
% 6.64/4.77 (v114(constB37) | v125(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7024, 7023])).
% 6.64/4.77 tff(7026,plain,
% 6.64/4.77 ((~(v113(constB37) <=> (v114(constB37) | v125(constB37)))) | v113(constB37) | (~(v114(constB37) | v125(constB37)))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7027,plain,
% 6.64/4.77 (v113(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7026, 7025, 6999])).
% 6.64/4.77 tff(7028,plain,
% 6.64/4.77 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB37)) <=> v111(constB37))),
% 6.64/4.77 inference(quant_inst,[status(thm)],[])).
% 6.64/4.77 tff(7029,plain,
% 6.64/4.77 ((~v126(constB37)) <=> v111(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7028, 4118])).
% 6.64/4.77 tff(7030,plain,
% 6.64/4.77 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37) | v111(constB37)),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7031,plain,
% 6.64/4.77 ((~((~v126(constB37)) <=> v111(constB37))) | v126(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7030, 2689])).
% 6.64/4.77 tff(7032,plain,
% 6.64/4.77 (v126(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7031, 7029])).
% 6.64/4.77 tff(7033,plain,
% 6.64/4.77 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37)) | (~v126(constB37))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7034,plain,
% 6.64/4.77 ((~((~v113(constB37)) | (~v126(constB37)))) | (~v113(constB37))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7033, 7032])).
% 6.64/4.77 tff(7035,plain,
% 6.64/4.77 (~((~v113(constB37)) | (~v126(constB37)))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7034, 7027])).
% 6.64/4.77 tff(7036,plain,
% 6.64/4.77 ((~(v112(constB37) <=> (~((~v113(constB37)) | (~v126(constB37)))))) | v112(constB37) | ((~v113(constB37)) | (~v126(constB37)))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7037,plain,
% 6.64/4.77 (v112(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7036, 7035, 6997])).
% 6.64/4.77 tff(7038,plain,
% 6.64/4.77 ((v111(constB37) | v112(constB37)) | (~v112(constB37))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7039,plain,
% 6.64/4.77 (v111(constB37) | v112(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7038, 7037])).
% 6.64/4.77 tff(7040,plain,
% 6.64/4.77 ((~(v108(constB37) <=> (v111(constB37) | v112(constB37)))) | v108(constB37) | (~(v111(constB37) | v112(constB37)))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7041,plain,
% 6.64/4.77 (v108(constB37)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7040, 7039, 6995])).
% 6.64/4.77 tff(7042,plain,
% 6.64/4.77 ((~(v110(constB38) <=> v108(constB37))) | v110(constB38) | (~v108(constB37))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7043,plain,
% 6.64/4.77 (v110(constB38)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7042, 7041, 6993])).
% 6.64/4.77 tff(7044,plain,
% 6.64/4.77 ((~((~v101(constB38)) | (~v110(constB38)))) | (~v101(constB38)) | (~v110(constB38))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7045,plain,
% 6.64/4.77 (~((~v101(constB38)) | (~v110(constB38)))),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7044, 7043, 6989])).
% 6.64/4.77 tff(7046,plain,
% 6.64/4.77 ((~(v100(constB38) <=> (~((~v101(constB38)) | (~v110(constB38)))))) | v100(constB38) | ((~v101(constB38)) | (~v110(constB38)))),
% 6.64/4.77 inference(tautology,[status(thm)],[])).
% 6.64/4.77 tff(7047,plain,
% 6.64/4.77 (v100(constB38)),
% 6.64/4.77 inference(unit_resolution,[status(thm)],[7046, 7045, 6961])).
% 6.64/4.77 tff(7048,plain,
% 6.64/4.77 (((~![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)))))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(7049,plain,
% 6.64/4.77 (((~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)))))),
% 6.64/4.77 inference(rewrite,[status(thm)],[])).
% 6.64/4.77 tff(7050,plain,
% 6.64/4.77 (((~![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))))))),
% 6.64/4.77 inference(monotonicity,[status(thm)],[7049])).
% 6.64/4.77 tff(7051,plain,
% 6.64/4.77 (((~![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)))))),
% 6.64/4.77 inference(transitivity,[status(thm)],[7050, 7048])).
% 6.64/4.77 tff(7052,plain,
% 6.64/4.77 ((~![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)))))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7053,plain,
% 6.64/4.78 ((~![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))))),
% 6.64/4.78 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 6.64/4.78 tff(7054,plain,
% 6.64/4.78 ((~v100(constB38)) | (~(((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7053, 4151])).
% 6.64/4.78 tff(7055,plain,
% 6.64/4.78 (~(((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7054, 7047])).
% 6.64/4.78 tff(7056,plain,
% 6.64/4.78 ((((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))) | (~((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7057,plain,
% 6.64/4.78 (~((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7056, 7055])).
% 6.64/4.78 tff(7058,plain,
% 6.64/4.78 (((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7059,plain,
% 6.64/4.78 (~v90(constB38, bitIndex2)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7058, 7057, 6957])).
% 6.64/4.78 tff(7060,plain,
% 6.64/4.78 (((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | (~v90(constB39, bitIndex2)) | v90(constB38, bitIndex2)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7061,plain,
% 6.64/4.78 (~v90(constB39, bitIndex2)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7060, 7059, 2673])).
% 6.64/4.78 tff(7062,plain,
% 6.64/4.78 ((((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))) | (~((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7063,plain,
% 6.64/4.78 (~((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7062, 2671])).
% 6.64/4.78 tff(7064,plain,
% 6.64/4.78 ((((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0))) | (~((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7065,plain,
% 6.64/4.78 (~((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7064, 2680])).
% 6.64/4.78 tff(7066,plain,
% 6.64/4.78 ((((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1))) | (~((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7067,plain,
% 6.64/4.78 (~((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7066, 2694])).
% 6.64/4.78 tff(7068,plain,
% 6.64/4.78 ((v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0))) | v130(constB37, bitIndex0)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7069,plain,
% 6.64/4.78 (v130(constB37, bitIndex0)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7068, 6951])).
% 6.64/4.78 tff(7070,plain,
% 6.64/4.78 (((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)) | v127(constB37, bitIndex0) | (~v130(constB37, bitIndex0))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7071,plain,
% 6.64/4.78 (v127(constB37, bitIndex0)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7070, 7069, 7067])).
% 6.64/4.78 tff(7072,plain,
% 6.64/4.78 (((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0)) | v129(constB38, bitIndex0) | (~v127(constB37, bitIndex0))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7073,plain,
% 6.64/4.78 (v129(constB38, bitIndex0)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7072, 7071, 7065])).
% 6.64/4.78 tff(7074,plain,
% 6.64/4.78 ((((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))) | (~((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7075,plain,
% 6.64/4.78 (~((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7074, 7055])).
% 6.64/4.78 tff(7076,plain,
% 6.64/4.78 (((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | v90(constB38, bitIndex0) | (~v129(constB38, bitIndex0))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7077,plain,
% 6.64/4.78 (v90(constB38, bitIndex0)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7076, 7075, 7073])).
% 6.64/4.78 tff(7078,plain,
% 6.64/4.78 (((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0)) | v90(constB39, bitIndex0) | (~v90(constB38, bitIndex0))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7079,plain,
% 6.64/4.78 (v90(constB39, bitIndex0)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7078, 7077, 7063])).
% 6.64/4.78 tff(7080,plain,
% 6.64/4.78 ((((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | ((~v90(constB39, bitIndex2)) <=> v90(constB38, bitIndex2)) | ((~v90(constB39, bitIndex0)) <=> v90(constB38, bitIndex0))) | (~((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7081,plain,
% 6.64/4.78 (~((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7080, 2671])).
% 6.64/4.78 tff(7082,plain,
% 6.64/4.78 ((((~v129(constB38, bitIndex2)) <=> v127(constB37, bitIndex2)) | ((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | ((~v129(constB38, bitIndex0)) <=> v127(constB37, bitIndex0))) | (~((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7083,plain,
% 6.64/4.78 (~((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7082, 2680])).
% 6.64/4.78 tff(7084,plain,
% 6.64/4.78 ((((~v127(constB37, bitIndex2)) <=> v130(constB37, bitIndex2)) | ((~v127(constB37, bitIndex0)) <=> v130(constB37, bitIndex0)) | ((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1))) | (~((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7085,plain,
% 6.64/4.78 (~((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7084, 2694])).
% 6.64/4.78 tff(7086,plain,
% 6.64/4.78 ((v130(constB37, bitIndex2) | v130(constB37, bitIndex1) | (~v130(constB37, bitIndex0))) | (~v130(constB37, bitIndex1))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7087,plain,
% 6.64/4.78 (~v130(constB37, bitIndex1)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7086, 6951])).
% 6.64/4.78 tff(7088,plain,
% 6.64/4.78 (((~v127(constB37, bitIndex1)) <=> v130(constB37, bitIndex1)) | (~v127(constB37, bitIndex1)) | v130(constB37, bitIndex1)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7089,plain,
% 6.64/4.78 (~v127(constB37, bitIndex1)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7088, 7087, 7085])).
% 6.64/4.78 tff(7090,plain,
% 6.64/4.78 (((~v129(constB38, bitIndex1)) <=> v127(constB37, bitIndex1)) | (~v129(constB38, bitIndex1)) | v127(constB37, bitIndex1)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7091,plain,
% 6.64/4.78 (~v129(constB38, bitIndex1)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7090, 7089, 7083])).
% 6.64/4.78 tff(7092,plain,
% 6.64/4.78 ((((~v90(constB38, bitIndex0)) <=> v129(constB38, bitIndex0)) | ((~v90(constB38, bitIndex2)) <=> v129(constB38, bitIndex2)) | ((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))) | (~((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7093,plain,
% 6.64/4.78 (~((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7092, 7055])).
% 6.64/4.78 tff(7094,plain,
% 6.64/4.78 (((~v90(constB38, bitIndex1)) <=> v129(constB38, bitIndex1)) | (~v90(constB38, bitIndex1)) | v129(constB38, bitIndex1)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7095,plain,
% 6.64/4.78 (~v90(constB38, bitIndex1)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7094, 7093, 7091])).
% 6.64/4.78 tff(7096,plain,
% 6.64/4.78 (((~v90(constB39, bitIndex1)) <=> v90(constB38, bitIndex1)) | (~v90(constB39, bitIndex1)) | v90(constB38, bitIndex1)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7097,plain,
% 6.64/4.78 (~v90(constB39, bitIndex1)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7096, 7095, 7081])).
% 6.64/4.78 tff(7098,plain,
% 6.64/4.78 ((~(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0)))) | v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7099,plain,
% 6.64/4.78 (~(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0)))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7098, 7097, 7079, 7061])).
% 6.64/4.78 tff(7100,plain,
% 6.64/4.78 ((~(v120(constB39) <=> (~(v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0)))))) | v120(constB39) | (v90(constB39, bitIndex1) | v90(constB39, bitIndex2) | (~v90(constB39, bitIndex0)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7101,plain,
% 6.64/4.78 (v120(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7100, 7099, 2637])).
% 6.64/4.78 tff(7102,plain,
% 6.64/4.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB39)) | (~(v130(constB39, bitIndex2) | v130(constB39, bitIndex0) | (~v130(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB39)) | (~(v130(constB39, bitIndex2) | v130(constB39, bitIndex0) | (~v130(constB39, bitIndex1)))))),
% 6.64/4.78 inference(rewrite,[status(thm)],[])).
% 6.64/4.78 tff(7103,plain,
% 6.64/4.78 (((~v120(constB39)) | (~(v130(constB39, bitIndex0) | v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1))))) <=> ((~v120(constB39)) | (~(v130(constB39, bitIndex2) | v130(constB39, bitIndex0) | (~v130(constB39, bitIndex1)))))),
% 6.64/4.78 inference(rewrite,[status(thm)],[])).
% 6.64/4.78 tff(7104,plain,
% 6.64/4.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB39)) | (~(v130(constB39, bitIndex0) | v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB39)) | (~(v130(constB39, bitIndex2) | v130(constB39, bitIndex0) | (~v130(constB39, bitIndex1))))))),
% 6.64/4.78 inference(monotonicity,[status(thm)],[7103])).
% 6.64/4.78 tff(7105,plain,
% 6.64/4.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB39)) | (~(v130(constB39, bitIndex0) | v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB39)) | (~(v130(constB39, bitIndex2) | v130(constB39, bitIndex0) | (~v130(constB39, bitIndex1)))))),
% 6.64/4.78 inference(transitivity,[status(thm)],[7104, 7102])).
% 6.64/4.78 tff(7106,plain,
% 6.64/4.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB39)) | (~(v130(constB39, bitIndex0) | v130(constB39, bitIndex2) | (~v130(constB39, bitIndex1)))))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7107,plain,
% 6.64/4.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB39)) | (~(v130(constB39, bitIndex2) | v130(constB39, bitIndex0) | (~v130(constB39, bitIndex1))))),
% 6.64/4.78 inference(modus_ponens,[status(thm)],[7106, 7105])).
% 6.64/4.78 tff(7108,plain,
% 6.64/4.78 ((~v120(constB39)) | (~(v130(constB39, bitIndex2) | v130(constB39, bitIndex0) | (~v130(constB39, bitIndex1))))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7107, 4218])).
% 6.64/4.78 tff(7109,plain,
% 6.64/4.78 (~(v130(constB39, bitIndex2) | v130(constB39, bitIndex0) | (~v130(constB39, bitIndex1)))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7108, 7101])).
% 6.64/4.78 tff(7110,plain,
% 6.64/4.78 ((v130(constB39, bitIndex2) | v130(constB39, bitIndex0) | (~v130(constB39, bitIndex1))) | (~v130(constB39, bitIndex2))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7111,plain,
% 6.64/4.78 (~v130(constB39, bitIndex2)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7110, 7109])).
% 6.64/4.78 tff(7112,plain,
% 6.64/4.78 (((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | (~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7113,plain,
% 6.64/4.78 (~v127(constB39, bitIndex2)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7112, 7111, 2635])).
% 6.64/4.78 tff(7114,plain,
% 6.64/4.78 (((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | (~v129(constB40, bitIndex2)) | v127(constB39, bitIndex2)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7115,plain,
% 6.64/4.78 (~v129(constB40, bitIndex2)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7114, 7113, 2621])).
% 6.64/4.78 tff(7116,plain,
% 6.64/4.78 (((~![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))))))),
% 6.64/4.78 inference(rewrite,[status(thm)],[])).
% 6.64/4.78 tff(7117,plain,
% 6.64/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7118,plain,
% 6.64/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB39, constB40)) | (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))),
% 6.64/4.78 inference(modus_ponens,[status(thm)],[7117, 7116])).
% 6.64/4.78 tff(7119,plain,
% 6.64/4.78 (v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40))))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7118, 2615, 433])).
% 6.64/4.78 tff(7120,plain,
% 6.64/4.78 (((~![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))))))),
% 6.64/4.78 inference(rewrite,[status(thm)],[])).
% 6.64/4.78 tff(7121,plain,
% 6.64/4.78 (((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40)))))) <=> ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))))),
% 6.64/4.78 inference(rewrite,[status(thm)],[])).
% 6.64/4.78 tff(7122,plain,
% 6.64/4.78 (((~![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)))))))),
% 6.64/4.78 inference(monotonicity,[status(thm)],[7121])).
% 6.64/4.78 tff(7123,plain,
% 6.64/4.78 (((~![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))))))),
% 6.64/4.78 inference(transitivity,[status(thm)],[7122, 7120])).
% 6.64/4.78 tff(7124,plain,
% 6.64/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v102(constB40)) | (~v1(constB40))))))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7125,plain,
% 6.64/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))),
% 6.64/4.78 inference(modus_ponens,[status(thm)],[7124, 7123])).
% 6.64/4.78 tff(7126,plain,
% 6.64/4.78 (v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40))))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7125, 2615, 453])).
% 6.64/4.78 tff(7127,plain,
% 6.64/4.78 (((~![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)))),
% 6.64/4.78 inference(rewrite,[status(thm)],[])).
% 6.64/4.78 tff(7128,plain,
% 6.64/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40)))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7129,plain,
% 6.64/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB39, constB40)) | ((~v102(constB40)) <=> v104(constB40))),
% 6.64/4.78 inference(modus_ponens,[status(thm)],[7128, 7127])).
% 6.64/4.78 tff(7130,plain,
% 6.64/4.78 ((~v102(constB40)) <=> v104(constB40)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7129, 2615, 3966])).
% 6.64/4.78 tff(7131,plain,
% 6.64/4.78 (((~![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)))),
% 6.64/4.78 inference(rewrite,[status(thm)],[])).
% 6.64/4.78 tff(7132,plain,
% 6.64/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39)))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7133,plain,
% 6.64/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v1(constB39))),
% 6.64/4.78 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 6.64/4.78 tff(7134,plain,
% 6.64/4.78 (v104(constB40) <=> v1(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7133, 2615, 3980])).
% 6.64/4.78 tff(7135,plain,
% 6.64/4.78 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40)) | v1(constB39)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7136,plain,
% 6.64/4.78 ((~(v104(constB40) <=> v1(constB39))) | (~v104(constB40))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7135, 2654])).
% 6.64/4.78 tff(7137,plain,
% 6.64/4.78 (~v104(constB40)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7136, 7134])).
% 6.64/4.78 tff(7138,plain,
% 6.64/4.78 ((~((~v102(constB40)) <=> v104(constB40))) | v102(constB40) | v104(constB40)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7139,plain,
% 6.64/4.78 (v102(constB40)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7138, 7137, 7130])).
% 6.64/4.78 tff(7140,plain,
% 6.64/4.78 (v1(constB40) <=> v1(constB40)),
% 6.64/4.78 inference(rewrite,[status(thm)],[])).
% 6.64/4.78 tff(7141,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40')).
% 6.64/4.78 tff(7142,plain,
% 6.64/4.78 (v1(constB40)),
% 6.64/4.78 inference(modus_ponens,[status(thm)],[7141, 7140])).
% 6.64/4.78 tff(7143,plain,
% 6.64/4.78 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v1(constB40)) | (~v102(constB40))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7144,plain,
% 6.64/4.78 ((~((~v1(constB40)) | (~v102(constB40)))) | (~v102(constB40))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7143, 7142])).
% 6.64/4.78 tff(7145,plain,
% 6.64/4.78 (~((~v1(constB40)) | (~v102(constB40)))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7144, 7139])).
% 6.64/4.78 tff(7146,plain,
% 6.64/4.78 ((~(v101(constB40) <=> (~((~v1(constB40)) | (~v102(constB40)))))) | v101(constB40) | ((~v1(constB40)) | (~v102(constB40)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7147,plain,
% 6.64/4.78 (v101(constB40)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7146, 7145, 7126])).
% 6.64/4.78 tff(7148,plain,
% 6.64/4.78 (((~![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)))),
% 6.64/4.78 inference(rewrite,[status(thm)],[])).
% 6.64/4.78 tff(7149,plain,
% 6.64/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39)))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7150,plain,
% 6.64/4.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB39, constB40)) | (v110(constB40) <=> v108(constB39))),
% 6.64/4.78 inference(modus_ponens,[status(thm)],[7149, 7148])).
% 6.64/4.78 tff(7151,plain,
% 6.64/4.78 (v110(constB40) <=> v108(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7150, 2615, 4007])).
% 6.64/4.78 tff(7152,plain,
% 6.64/4.78 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB39) <=> (v111(constB39) | v112(constB39)))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7153,plain,
% 6.64/4.78 (v108(constB39) <=> (v111(constB39) | v112(constB39))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7152, 4018])).
% 6.64/4.78 tff(7154,plain,
% 6.64/4.78 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7155,plain,
% 6.64/4.78 (v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39))))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7154, 4030])).
% 6.64/4.78 tff(7156,plain,
% 6.64/4.78 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB39) <=> (v114(constB39) | v125(constB39)))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7157,plain,
% 6.64/4.78 (v113(constB39) <=> (v114(constB39) | v125(constB39))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7156, 4039])).
% 6.64/4.78 tff(7158,plain,
% 6.64/4.78 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB39) <=> (v115(constB39) | v124(constB39)))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7159,plain,
% 6.64/4.78 (v114(constB39) <=> (v115(constB39) | v124(constB39))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7158, 4048])).
% 6.64/4.78 tff(7160,plain,
% 6.64/4.78 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB39) <=> (v116(constB39) | v123(constB39)))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7161,plain,
% 6.64/4.78 (v115(constB39) <=> (v116(constB39) | v123(constB39))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7160, 4057])).
% 6.64/4.78 tff(7162,plain,
% 6.64/4.78 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB39) <=> (v117(constB39) | v122(constB39)))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7163,plain,
% 6.64/4.78 (v116(constB39) <=> (v117(constB39) | v122(constB39))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7162, 4066])).
% 6.64/4.78 tff(7164,plain,
% 6.64/4.78 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB39) <=> (v118(constB39) | v121(constB39)))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7165,plain,
% 6.64/4.78 (v117(constB39) <=> (v118(constB39) | v121(constB39))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7164, 4075])).
% 6.64/4.78 tff(7166,plain,
% 6.64/4.78 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB39) <=> (v119(constB39) | v120(constB39)))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7167,plain,
% 6.64/4.78 (v118(constB39) <=> (v119(constB39) | v120(constB39))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7166, 4084])).
% 6.64/4.78 tff(7168,plain,
% 6.64/4.78 ((v119(constB39) | v120(constB39)) | (~v120(constB39))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7169,plain,
% 6.64/4.78 (v119(constB39) | v120(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7168, 7101])).
% 6.64/4.78 tff(7170,plain,
% 6.64/4.78 ((~(v118(constB39) <=> (v119(constB39) | v120(constB39)))) | v118(constB39) | (~(v119(constB39) | v120(constB39)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7171,plain,
% 6.64/4.78 (v118(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7170, 7169, 7167])).
% 6.64/4.78 tff(7172,plain,
% 6.64/4.78 ((v118(constB39) | v121(constB39)) | (~v118(constB39))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7173,plain,
% 6.64/4.78 (v118(constB39) | v121(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7172, 7171])).
% 6.64/4.78 tff(7174,plain,
% 6.64/4.78 ((~(v117(constB39) <=> (v118(constB39) | v121(constB39)))) | v117(constB39) | (~(v118(constB39) | v121(constB39)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7175,plain,
% 6.64/4.78 (v117(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7174, 7173, 7165])).
% 6.64/4.78 tff(7176,plain,
% 6.64/4.78 ((v117(constB39) | v122(constB39)) | (~v117(constB39))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7177,plain,
% 6.64/4.78 (v117(constB39) | v122(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7176, 7175])).
% 6.64/4.78 tff(7178,plain,
% 6.64/4.78 ((~(v116(constB39) <=> (v117(constB39) | v122(constB39)))) | v116(constB39) | (~(v117(constB39) | v122(constB39)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7179,plain,
% 6.64/4.78 (v116(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7178, 7177, 7163])).
% 6.64/4.78 tff(7180,plain,
% 6.64/4.78 ((v116(constB39) | v123(constB39)) | (~v116(constB39))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7181,plain,
% 6.64/4.78 (v116(constB39) | v123(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7180, 7179])).
% 6.64/4.78 tff(7182,plain,
% 6.64/4.78 ((~(v115(constB39) <=> (v116(constB39) | v123(constB39)))) | v115(constB39) | (~(v116(constB39) | v123(constB39)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7183,plain,
% 6.64/4.78 (v115(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7182, 7181, 7161])).
% 6.64/4.78 tff(7184,plain,
% 6.64/4.78 ((v115(constB39) | v124(constB39)) | (~v115(constB39))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7185,plain,
% 6.64/4.78 (v115(constB39) | v124(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7184, 7183])).
% 6.64/4.78 tff(7186,plain,
% 6.64/4.78 ((~(v114(constB39) <=> (v115(constB39) | v124(constB39)))) | v114(constB39) | (~(v115(constB39) | v124(constB39)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7187,plain,
% 6.64/4.78 (v114(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7186, 7185, 7159])).
% 6.64/4.78 tff(7188,plain,
% 6.64/4.78 ((v114(constB39) | v125(constB39)) | (~v114(constB39))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7189,plain,
% 6.64/4.78 (v114(constB39) | v125(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7188, 7187])).
% 6.64/4.78 tff(7190,plain,
% 6.64/4.78 ((~(v113(constB39) <=> (v114(constB39) | v125(constB39)))) | v113(constB39) | (~(v114(constB39) | v125(constB39)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7191,plain,
% 6.64/4.78 (v113(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7190, 7189, 7157])).
% 6.64/4.78 tff(7192,plain,
% 6.64/4.78 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB39)) <=> v111(constB39))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7193,plain,
% 6.64/4.78 ((~v126(constB39)) <=> v111(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7192, 4118])).
% 6.64/4.78 tff(7194,plain,
% 6.64/4.78 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39) | v111(constB39)),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7195,plain,
% 6.64/4.78 ((~((~v126(constB39)) <=> v111(constB39))) | v126(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7194, 2628])).
% 6.64/4.78 tff(7196,plain,
% 6.64/4.78 (v126(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7195, 7193])).
% 6.64/4.78 tff(7197,plain,
% 6.64/4.78 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39)) | (~v126(constB39))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7198,plain,
% 6.64/4.78 ((~((~v113(constB39)) | (~v126(constB39)))) | (~v113(constB39))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7197, 7196])).
% 6.64/4.78 tff(7199,plain,
% 6.64/4.78 (~((~v113(constB39)) | (~v126(constB39)))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7198, 7191])).
% 6.64/4.78 tff(7200,plain,
% 6.64/4.78 ((~(v112(constB39) <=> (~((~v113(constB39)) | (~v126(constB39)))))) | v112(constB39) | ((~v113(constB39)) | (~v126(constB39)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7201,plain,
% 6.64/4.78 (v112(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7200, 7199, 7155])).
% 6.64/4.78 tff(7202,plain,
% 6.64/4.78 ((v111(constB39) | v112(constB39)) | (~v112(constB39))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7203,plain,
% 6.64/4.78 (v111(constB39) | v112(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7202, 7201])).
% 6.64/4.78 tff(7204,plain,
% 6.64/4.78 ((~(v108(constB39) <=> (v111(constB39) | v112(constB39)))) | v108(constB39) | (~(v111(constB39) | v112(constB39)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7205,plain,
% 6.64/4.78 (v108(constB39)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7204, 7203, 7153])).
% 6.64/4.78 tff(7206,plain,
% 6.64/4.78 ((~(v110(constB40) <=> v108(constB39))) | v110(constB40) | (~v108(constB39))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7207,plain,
% 6.64/4.78 (v110(constB40)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7206, 7205, 7151])).
% 6.64/4.78 tff(7208,plain,
% 6.64/4.78 ((~((~v101(constB40)) | (~v110(constB40)))) | (~v101(constB40)) | (~v110(constB40))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7209,plain,
% 6.64/4.78 (~((~v101(constB40)) | (~v110(constB40)))),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7208, 7207, 7147])).
% 6.64/4.78 tff(7210,plain,
% 6.64/4.78 ((~(v100(constB40) <=> (~((~v101(constB40)) | (~v110(constB40)))))) | v100(constB40) | ((~v101(constB40)) | (~v110(constB40)))),
% 6.64/4.78 inference(tautology,[status(thm)],[])).
% 6.64/4.78 tff(7211,plain,
% 6.64/4.78 (v100(constB40)),
% 6.64/4.78 inference(unit_resolution,[status(thm)],[7210, 7209, 7119])).
% 6.64/4.78 tff(7212,plain,
% 6.64/4.78 (((~![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)))))),
% 6.64/4.78 inference(rewrite,[status(thm)],[])).
% 6.64/4.78 tff(7213,plain,
% 6.64/4.78 ((~![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)))))),
% 6.64/4.78 inference(quant_inst,[status(thm)],[])).
% 6.64/4.78 tff(7214,plain,
% 6.64/4.78 ((~![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))))),
% 6.64/4.79 inference(modus_ponens,[status(thm)],[7213, 7212])).
% 6.64/4.79 tff(7215,plain,
% 6.64/4.79 ((~v100(constB40)) | (~(((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0))))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7214, 4151])).
% 6.64/4.79 tff(7216,plain,
% 6.64/4.79 (~(((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0)))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7215, 7211])).
% 6.64/4.79 tff(7217,plain,
% 6.64/4.79 ((((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0))) | (~((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7218,plain,
% 6.64/4.79 (~((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7217, 7216])).
% 6.64/4.79 tff(7219,plain,
% 6.64/4.79 (((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7220,plain,
% 6.64/4.79 (~v90(constB40, bitIndex2)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7219, 7218, 7115])).
% 6.64/4.79 tff(7221,plain,
% 6.64/4.79 (((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | (~v90(constB41, bitIndex2)) | v90(constB40, bitIndex2)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7222,plain,
% 6.64/4.79 (~v90(constB41, bitIndex2)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7221, 7220, 2612])).
% 6.64/4.79 tff(7223,plain,
% 6.64/4.79 ((((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))) | (~((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7224,plain,
% 6.64/4.79 (~((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7223, 2610])).
% 6.64/4.79 tff(7225,plain,
% 6.64/4.79 ((((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0))) | (~((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7226,plain,
% 6.64/4.79 (~((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7225, 2619])).
% 6.64/4.79 tff(7227,plain,
% 6.64/4.79 ((((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1))) | (~((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7228,plain,
% 6.64/4.79 (~((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7227, 2633])).
% 6.64/4.79 tff(7229,plain,
% 6.64/4.79 ((v130(constB39, bitIndex2) | v130(constB39, bitIndex0) | (~v130(constB39, bitIndex1))) | (~v130(constB39, bitIndex0))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7230,plain,
% 6.64/4.79 (~v130(constB39, bitIndex0)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7229, 7109])).
% 6.64/4.79 tff(7231,plain,
% 6.64/4.79 (((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)) | (~v127(constB39, bitIndex0)) | v130(constB39, bitIndex0)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7232,plain,
% 6.64/4.79 (~v127(constB39, bitIndex0)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7231, 7230, 7228])).
% 6.64/4.79 tff(7233,plain,
% 6.64/4.79 (((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0)) | (~v129(constB40, bitIndex0)) | v127(constB39, bitIndex0)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7234,plain,
% 6.64/4.79 (~v129(constB40, bitIndex0)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7233, 7232, 7226])).
% 6.64/4.79 tff(7235,plain,
% 6.64/4.79 ((((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0))) | (~((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7236,plain,
% 6.64/4.79 (~((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7235, 7216])).
% 6.64/4.79 tff(7237,plain,
% 6.64/4.79 (((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0)) | (~v90(constB40, bitIndex0)) | v129(constB40, bitIndex0)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7238,plain,
% 6.64/4.79 (~v90(constB40, bitIndex0)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7237, 7236, 7234])).
% 6.64/4.79 tff(7239,plain,
% 6.64/4.79 (((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0)) | (~v90(constB41, bitIndex0)) | v90(constB40, bitIndex0)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7240,plain,
% 6.64/4.79 (~v90(constB41, bitIndex0)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7239, 7238, 7224])).
% 6.64/4.79 tff(7241,plain,
% 6.64/4.79 ((((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | ((~v90(constB41, bitIndex2)) <=> v90(constB40, bitIndex2)) | ((~v90(constB41, bitIndex0)) <=> v90(constB40, bitIndex0))) | (~((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7242,plain,
% 6.64/4.79 (~((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7241, 2610])).
% 6.64/4.79 tff(7243,plain,
% 6.64/4.79 ((((~v129(constB40, bitIndex2)) <=> v127(constB39, bitIndex2)) | ((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | ((~v129(constB40, bitIndex0)) <=> v127(constB39, bitIndex0))) | (~((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7244,plain,
% 6.64/4.79 (~((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7243, 2619])).
% 6.64/4.79 tff(7245,plain,
% 6.64/4.79 ((((~v127(constB39, bitIndex2)) <=> v130(constB39, bitIndex2)) | ((~v127(constB39, bitIndex0)) <=> v130(constB39, bitIndex0)) | ((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1))) | (~((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7246,plain,
% 6.64/4.79 (~((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7245, 2633])).
% 6.64/4.79 tff(7247,plain,
% 6.64/4.79 ((v130(constB39, bitIndex2) | v130(constB39, bitIndex0) | (~v130(constB39, bitIndex1))) | v130(constB39, bitIndex1)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7248,plain,
% 6.64/4.79 (v130(constB39, bitIndex1)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7247, 7109])).
% 6.64/4.79 tff(7249,plain,
% 6.64/4.79 (((~v127(constB39, bitIndex1)) <=> v130(constB39, bitIndex1)) | v127(constB39, bitIndex1) | (~v130(constB39, bitIndex1))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7250,plain,
% 6.64/4.79 (v127(constB39, bitIndex1)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7249, 7248, 7246])).
% 6.64/4.79 tff(7251,plain,
% 6.64/4.79 (((~v129(constB40, bitIndex1)) <=> v127(constB39, bitIndex1)) | v129(constB40, bitIndex1) | (~v127(constB39, bitIndex1))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7252,plain,
% 6.64/4.79 (v129(constB40, bitIndex1)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7251, 7250, 7244])).
% 6.64/4.79 tff(7253,plain,
% 6.64/4.79 ((((~v90(constB40, bitIndex2)) <=> v129(constB40, bitIndex2)) | ((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | ((~v90(constB40, bitIndex0)) <=> v129(constB40, bitIndex0))) | (~((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7254,plain,
% 6.64/4.79 (~((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7253, 7216])).
% 6.64/4.79 tff(7255,plain,
% 6.64/4.79 (((~v90(constB40, bitIndex1)) <=> v129(constB40, bitIndex1)) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7256,plain,
% 6.64/4.79 (v90(constB40, bitIndex1)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7255, 7254, 7252])).
% 6.64/4.79 tff(7257,plain,
% 6.64/4.79 (((~v90(constB41, bitIndex1)) <=> v90(constB40, bitIndex1)) | v90(constB41, bitIndex1) | (~v90(constB40, bitIndex1))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7258,plain,
% 6.64/4.79 (v90(constB41, bitIndex1)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7257, 7256, 7242])).
% 6.64/4.79 tff(7259,plain,
% 6.64/4.79 ((~(v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)))) | v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7260,plain,
% 6.64/4.79 (~(v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7259, 7258, 7240, 7222])).
% 6.64/4.79 tff(7261,plain,
% 6.64/4.79 ((~(v121(constB41) <=> (~(v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)))))) | v121(constB41) | (v90(constB41, bitIndex2) | v90(constB41, bitIndex0) | (~v90(constB41, bitIndex1)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7262,plain,
% 6.64/4.79 (v121(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7261, 7260, 2576])).
% 6.64/4.79 tff(7263,plain,
% 6.64/4.79 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB41)) | (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex0)) | (~v130(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB41)) | (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex0)) | (~v130(constB41, bitIndex1)))))),
% 6.64/4.79 inference(rewrite,[status(thm)],[])).
% 6.64/4.79 tff(7264,plain,
% 6.64/4.79 (((~v121(constB41)) | (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex1)) | (~v130(constB41, bitIndex0))))) <=> ((~v121(constB41)) | (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex0)) | (~v130(constB41, bitIndex1)))))),
% 6.64/4.79 inference(rewrite,[status(thm)],[])).
% 6.64/4.79 tff(7265,plain,
% 6.64/4.79 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB41)) | (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex1)) | (~v130(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB41)) | (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex0)) | (~v130(constB41, bitIndex1))))))),
% 6.64/4.79 inference(monotonicity,[status(thm)],[7264])).
% 6.64/4.79 tff(7266,plain,
% 6.64/4.79 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB41)) | (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex1)) | (~v130(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB41)) | (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex0)) | (~v130(constB41, bitIndex1)))))),
% 6.64/4.79 inference(transitivity,[status(thm)],[7265, 7263])).
% 6.64/4.79 tff(7267,plain,
% 6.64/4.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB41)) | (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex1)) | (~v130(constB41, bitIndex0)))))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7268,plain,
% 6.64/4.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB41)) | (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex0)) | (~v130(constB41, bitIndex1))))),
% 6.64/4.79 inference(modus_ponens,[status(thm)],[7267, 7266])).
% 6.64/4.79 tff(7269,plain,
% 6.64/4.79 ((~v121(constB41)) | (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex0)) | (~v130(constB41, bitIndex1))))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7268, 4392])).
% 6.64/4.79 tff(7270,plain,
% 6.64/4.79 (~(v130(constB41, bitIndex2) | (~v130(constB41, bitIndex0)) | (~v130(constB41, bitIndex1)))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7269, 7262])).
% 6.64/4.79 tff(7271,plain,
% 6.64/4.79 ((v130(constB41, bitIndex2) | (~v130(constB41, bitIndex0)) | (~v130(constB41, bitIndex1))) | (~v130(constB41, bitIndex2))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7272,plain,
% 6.64/4.79 (~v130(constB41, bitIndex2)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7271, 7270])).
% 6.64/4.79 tff(7273,plain,
% 6.64/4.79 (((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | (~v127(constB41, bitIndex2)) | v130(constB41, bitIndex2)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7274,plain,
% 6.64/4.79 (~v127(constB41, bitIndex2)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7273, 7272, 2569])).
% 6.64/4.79 tff(7275,plain,
% 6.64/4.79 (((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | (~v129(constB42, bitIndex2)) | v127(constB41, bitIndex2)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7276,plain,
% 6.64/4.79 (~v129(constB42, bitIndex2)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7275, 7274, 2555])).
% 6.64/4.79 tff(7277,plain,
% 6.64/4.79 (((~![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))))))),
% 6.64/4.79 inference(rewrite,[status(thm)],[])).
% 6.64/4.79 tff(7278,plain,
% 6.64/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7279,plain,
% 6.64/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB41, constB42)) | (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))),
% 6.64/4.79 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 6.64/4.79 tff(7280,plain,
% 6.64/4.79 (v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42))))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7279, 2549, 433])).
% 6.64/4.79 tff(7281,plain,
% 6.64/4.79 (((~![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))))))),
% 6.64/4.79 inference(rewrite,[status(thm)],[])).
% 6.64/4.79 tff(7282,plain,
% 6.64/4.79 (((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42)))))) <=> ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))))),
% 6.64/4.79 inference(rewrite,[status(thm)],[])).
% 6.64/4.79 tff(7283,plain,
% 6.64/4.79 (((~![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)))))))),
% 6.64/4.79 inference(monotonicity,[status(thm)],[7282])).
% 6.64/4.79 tff(7284,plain,
% 6.64/4.79 (((~![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))))))),
% 6.64/4.79 inference(transitivity,[status(thm)],[7283, 7281])).
% 6.64/4.79 tff(7285,plain,
% 6.64/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v102(constB42)) | (~v1(constB42))))))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7286,plain,
% 6.64/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))),
% 6.64/4.79 inference(modus_ponens,[status(thm)],[7285, 7284])).
% 6.64/4.79 tff(7287,plain,
% 6.64/4.79 (v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42))))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7286, 2549, 453])).
% 6.64/4.79 tff(7288,plain,
% 6.64/4.79 (((~![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)))),
% 6.64/4.79 inference(rewrite,[status(thm)],[])).
% 6.64/4.79 tff(7289,plain,
% 6.64/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42)))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7290,plain,
% 6.64/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB41, constB42)) | ((~v102(constB42)) <=> v104(constB42))),
% 6.64/4.79 inference(modus_ponens,[status(thm)],[7289, 7288])).
% 6.64/4.79 tff(7291,plain,
% 6.64/4.79 ((~v102(constB42)) <=> v104(constB42)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7290, 2549, 3966])).
% 6.64/4.79 tff(7292,plain,
% 6.64/4.79 (((~![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)))),
% 6.64/4.79 inference(rewrite,[status(thm)],[])).
% 6.64/4.79 tff(7293,plain,
% 6.64/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41)))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7294,plain,
% 6.64/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v1(constB41))),
% 6.64/4.79 inference(modus_ponens,[status(thm)],[7293, 7292])).
% 6.64/4.79 tff(7295,plain,
% 6.64/4.79 (v104(constB42) <=> v1(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7294, 2549, 3980])).
% 6.64/4.79 tff(7296,plain,
% 6.64/4.79 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42)) | v1(constB41)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7297,plain,
% 6.64/4.79 ((~(v104(constB42) <=> v1(constB41))) | (~v104(constB42))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7296, 2593])).
% 6.64/4.79 tff(7298,plain,
% 6.64/4.79 (~v104(constB42)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7297, 7295])).
% 6.64/4.79 tff(7299,plain,
% 6.64/4.79 ((~((~v102(constB42)) <=> v104(constB42))) | v102(constB42) | v104(constB42)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7300,plain,
% 6.64/4.79 (v102(constB42)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7299, 7298, 7291])).
% 6.64/4.79 tff(7301,plain,
% 6.64/4.79 (v1(constB42) <=> v1(constB42)),
% 6.64/4.79 inference(rewrite,[status(thm)],[])).
% 6.64/4.79 tff(7302,axiom,(v1(constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_42')).
% 6.64/4.79 tff(7303,plain,
% 6.64/4.79 (v1(constB42)),
% 6.64/4.79 inference(modus_ponens,[status(thm)],[7302, 7301])).
% 6.64/4.79 tff(7304,plain,
% 6.64/4.79 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v1(constB42)) | (~v102(constB42))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7305,plain,
% 6.64/4.79 ((~((~v1(constB42)) | (~v102(constB42)))) | (~v102(constB42))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7304, 7303])).
% 6.64/4.79 tff(7306,plain,
% 6.64/4.79 (~((~v1(constB42)) | (~v102(constB42)))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7305, 7300])).
% 6.64/4.79 tff(7307,plain,
% 6.64/4.79 ((~(v101(constB42) <=> (~((~v1(constB42)) | (~v102(constB42)))))) | v101(constB42) | ((~v1(constB42)) | (~v102(constB42)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7308,plain,
% 6.64/4.79 (v101(constB42)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7307, 7306, 7287])).
% 6.64/4.79 tff(7309,plain,
% 6.64/4.79 (((~![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)))),
% 6.64/4.79 inference(rewrite,[status(thm)],[])).
% 6.64/4.79 tff(7310,plain,
% 6.64/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41)))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7311,plain,
% 6.64/4.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB41, constB42)) | (v110(constB42) <=> v108(constB41))),
% 6.64/4.79 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 6.64/4.79 tff(7312,plain,
% 6.64/4.79 (v110(constB42) <=> v108(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7311, 2549, 4007])).
% 6.64/4.79 tff(7313,plain,
% 6.64/4.79 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB41) <=> (v111(constB41) | v112(constB41)))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7314,plain,
% 6.64/4.79 (v108(constB41) <=> (v111(constB41) | v112(constB41))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7313, 4018])).
% 6.64/4.79 tff(7315,plain,
% 6.64/4.79 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7316,plain,
% 6.64/4.79 (v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41))))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7315, 4030])).
% 6.64/4.79 tff(7317,plain,
% 6.64/4.79 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB41) <=> (v114(constB41) | v125(constB41)))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7318,plain,
% 6.64/4.79 (v113(constB41) <=> (v114(constB41) | v125(constB41))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7317, 4039])).
% 6.64/4.79 tff(7319,plain,
% 6.64/4.79 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB41) <=> (v115(constB41) | v124(constB41)))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7320,plain,
% 6.64/4.79 (v114(constB41) <=> (v115(constB41) | v124(constB41))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7319, 4048])).
% 6.64/4.79 tff(7321,plain,
% 6.64/4.79 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB41) <=> (v116(constB41) | v123(constB41)))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7322,plain,
% 6.64/4.79 (v115(constB41) <=> (v116(constB41) | v123(constB41))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7321, 4057])).
% 6.64/4.79 tff(7323,plain,
% 6.64/4.79 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB41) <=> (v117(constB41) | v122(constB41)))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7324,plain,
% 6.64/4.79 (v116(constB41) <=> (v117(constB41) | v122(constB41))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7323, 4066])).
% 6.64/4.79 tff(7325,plain,
% 6.64/4.79 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB41) <=> (v118(constB41) | v121(constB41)))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7326,plain,
% 6.64/4.79 (v117(constB41) <=> (v118(constB41) | v121(constB41))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7325, 4075])).
% 6.64/4.79 tff(7327,plain,
% 6.64/4.79 ((v118(constB41) | v121(constB41)) | (~v121(constB41))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7328,plain,
% 6.64/4.79 (v118(constB41) | v121(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7327, 7262])).
% 6.64/4.79 tff(7329,plain,
% 6.64/4.79 ((~(v117(constB41) <=> (v118(constB41) | v121(constB41)))) | v117(constB41) | (~(v118(constB41) | v121(constB41)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7330,plain,
% 6.64/4.79 (v117(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7329, 7328, 7326])).
% 6.64/4.79 tff(7331,plain,
% 6.64/4.79 ((v117(constB41) | v122(constB41)) | (~v117(constB41))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7332,plain,
% 6.64/4.79 (v117(constB41) | v122(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7331, 7330])).
% 6.64/4.79 tff(7333,plain,
% 6.64/4.79 ((~(v116(constB41) <=> (v117(constB41) | v122(constB41)))) | v116(constB41) | (~(v117(constB41) | v122(constB41)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7334,plain,
% 6.64/4.79 (v116(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7333, 7332, 7324])).
% 6.64/4.79 tff(7335,plain,
% 6.64/4.79 ((v116(constB41) | v123(constB41)) | (~v116(constB41))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7336,plain,
% 6.64/4.79 (v116(constB41) | v123(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7335, 7334])).
% 6.64/4.79 tff(7337,plain,
% 6.64/4.79 ((~(v115(constB41) <=> (v116(constB41) | v123(constB41)))) | v115(constB41) | (~(v116(constB41) | v123(constB41)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7338,plain,
% 6.64/4.79 (v115(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7337, 7336, 7322])).
% 6.64/4.79 tff(7339,plain,
% 6.64/4.79 ((v115(constB41) | v124(constB41)) | (~v115(constB41))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7340,plain,
% 6.64/4.79 (v115(constB41) | v124(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7339, 7338])).
% 6.64/4.79 tff(7341,plain,
% 6.64/4.79 ((~(v114(constB41) <=> (v115(constB41) | v124(constB41)))) | v114(constB41) | (~(v115(constB41) | v124(constB41)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7342,plain,
% 6.64/4.79 (v114(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7341, 7340, 7320])).
% 6.64/4.79 tff(7343,plain,
% 6.64/4.79 ((v114(constB41) | v125(constB41)) | (~v114(constB41))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7344,plain,
% 6.64/4.79 (v114(constB41) | v125(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7343, 7342])).
% 6.64/4.79 tff(7345,plain,
% 6.64/4.79 ((~(v113(constB41) <=> (v114(constB41) | v125(constB41)))) | v113(constB41) | (~(v114(constB41) | v125(constB41)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7346,plain,
% 6.64/4.79 (v113(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7345, 7344, 7318])).
% 6.64/4.79 tff(7347,plain,
% 6.64/4.79 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB41)) <=> v111(constB41))),
% 6.64/4.79 inference(quant_inst,[status(thm)],[])).
% 6.64/4.79 tff(7348,plain,
% 6.64/4.79 ((~v126(constB41)) <=> v111(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7347, 4118])).
% 6.64/4.79 tff(7349,plain,
% 6.64/4.79 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41) | v111(constB41)),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7350,plain,
% 6.64/4.79 ((~((~v126(constB41)) <=> v111(constB41))) | v126(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7349, 2562])).
% 6.64/4.79 tff(7351,plain,
% 6.64/4.79 (v126(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7350, 7348])).
% 6.64/4.79 tff(7352,plain,
% 6.64/4.79 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41)) | (~v126(constB41))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7353,plain,
% 6.64/4.79 ((~((~v113(constB41)) | (~v126(constB41)))) | (~v113(constB41))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7352, 7351])).
% 6.64/4.79 tff(7354,plain,
% 6.64/4.79 (~((~v113(constB41)) | (~v126(constB41)))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7353, 7346])).
% 6.64/4.79 tff(7355,plain,
% 6.64/4.79 ((~(v112(constB41) <=> (~((~v113(constB41)) | (~v126(constB41)))))) | v112(constB41) | ((~v113(constB41)) | (~v126(constB41)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7356,plain,
% 6.64/4.79 (v112(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7355, 7354, 7316])).
% 6.64/4.79 tff(7357,plain,
% 6.64/4.79 ((v111(constB41) | v112(constB41)) | (~v112(constB41))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7358,plain,
% 6.64/4.79 (v111(constB41) | v112(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7357, 7356])).
% 6.64/4.79 tff(7359,plain,
% 6.64/4.79 ((~(v108(constB41) <=> (v111(constB41) | v112(constB41)))) | v108(constB41) | (~(v111(constB41) | v112(constB41)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7360,plain,
% 6.64/4.79 (v108(constB41)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7359, 7358, 7314])).
% 6.64/4.79 tff(7361,plain,
% 6.64/4.79 ((~(v110(constB42) <=> v108(constB41))) | v110(constB42) | (~v108(constB41))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7362,plain,
% 6.64/4.79 (v110(constB42)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7361, 7360, 7312])).
% 6.64/4.79 tff(7363,plain,
% 6.64/4.79 ((~((~v101(constB42)) | (~v110(constB42)))) | (~v101(constB42)) | (~v110(constB42))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7364,plain,
% 6.64/4.79 (~((~v101(constB42)) | (~v110(constB42)))),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7363, 7362, 7308])).
% 6.64/4.79 tff(7365,plain,
% 6.64/4.79 ((~(v100(constB42) <=> (~((~v101(constB42)) | (~v110(constB42)))))) | v100(constB42) | ((~v101(constB42)) | (~v110(constB42)))),
% 6.64/4.79 inference(tautology,[status(thm)],[])).
% 6.64/4.79 tff(7366,plain,
% 6.64/4.79 (v100(constB42)),
% 6.64/4.79 inference(unit_resolution,[status(thm)],[7365, 7364, 7280])).
% 6.64/4.79 tff(7367,plain,
% 6.64/4.79 (((~![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)))))),
% 6.64/4.79 inference(rewrite,[status(thm)],[])).
% 6.64/4.79 tff(7368,plain,
% 6.64/4.79 (((~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)))))),
% 6.64/4.79 inference(rewrite,[status(thm)],[])).
% 6.64/4.79 tff(7369,plain,
% 6.64/4.79 (((~![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))))))),
% 6.64/4.79 inference(monotonicity,[status(thm)],[7368])).
% 6.64/4.79 tff(7370,plain,
% 6.64/4.79 (((~![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)))))),
% 6.64/4.80 inference(transitivity,[status(thm)],[7369, 7367])).
% 6.64/4.80 tff(7371,plain,
% 6.64/4.80 ((~![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)))))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7372,plain,
% 6.64/4.80 ((~![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))))),
% 6.64/4.80 inference(modus_ponens,[status(thm)],[7371, 7370])).
% 6.64/4.80 tff(7373,plain,
% 6.64/4.80 ((~v100(constB42)) | (~(((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7372, 4151])).
% 6.64/4.80 tff(7374,plain,
% 6.64/4.80 (~(((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7373, 7366])).
% 6.64/4.80 tff(7375,plain,
% 6.64/4.80 ((((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))) | (~((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7376,plain,
% 6.64/4.80 (~((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7375, 7374])).
% 6.64/4.80 tff(7377,plain,
% 6.64/4.80 (((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | (~v90(constB42, bitIndex2)) | v129(constB42, bitIndex2)),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7378,plain,
% 6.64/4.80 (~v90(constB42, bitIndex2)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7377, 7376, 7276])).
% 6.64/4.80 tff(7379,plain,
% 6.64/4.80 (((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | (~v90(constB43, bitIndex2)) | v90(constB42, bitIndex2)),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7380,plain,
% 6.64/4.80 (~v90(constB43, bitIndex2)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7379, 7378, 2546])).
% 6.64/4.80 tff(7381,plain,
% 6.64/4.80 ((((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))) | (~((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7382,plain,
% 6.64/4.80 (~((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7381, 2544])).
% 6.64/4.80 tff(7383,plain,
% 6.64/4.80 ((((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0))) | (~((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7384,plain,
% 6.64/4.80 (~((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7383, 2553])).
% 6.64/4.80 tff(7385,plain,
% 6.64/4.80 ((((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1))) | (~((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7386,plain,
% 6.64/4.80 (~((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7385, 2567])).
% 6.64/4.80 tff(7387,plain,
% 6.64/4.80 ((v130(constB41, bitIndex2) | (~v130(constB41, bitIndex0)) | (~v130(constB41, bitIndex1))) | v130(constB41, bitIndex0)),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7388,plain,
% 6.64/4.80 (v130(constB41, bitIndex0)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7387, 7270])).
% 6.64/4.80 tff(7389,plain,
% 6.64/4.80 (((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)) | v127(constB41, bitIndex0) | (~v130(constB41, bitIndex0))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7390,plain,
% 6.64/4.80 (v127(constB41, bitIndex0)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7389, 7388, 7386])).
% 6.64/4.80 tff(7391,plain,
% 6.64/4.80 (((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0)) | v129(constB42, bitIndex0) | (~v127(constB41, bitIndex0))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7392,plain,
% 6.64/4.80 (v129(constB42, bitIndex0)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7391, 7390, 7384])).
% 6.64/4.80 tff(7393,plain,
% 6.64/4.80 ((((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))) | (~((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7394,plain,
% 6.64/4.80 (~((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7393, 7374])).
% 6.64/4.80 tff(7395,plain,
% 6.64/4.80 (((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | v90(constB42, bitIndex0) | (~v129(constB42, bitIndex0))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7396,plain,
% 6.64/4.80 (v90(constB42, bitIndex0)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7395, 7394, 7392])).
% 6.64/4.80 tff(7397,plain,
% 6.64/4.80 (((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0)) | v90(constB43, bitIndex0) | (~v90(constB42, bitIndex0))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7398,plain,
% 6.64/4.80 (v90(constB43, bitIndex0)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7397, 7396, 7382])).
% 6.64/4.80 tff(7399,plain,
% 6.64/4.80 ((((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | ((~v90(constB43, bitIndex2)) <=> v90(constB42, bitIndex2)) | ((~v90(constB43, bitIndex0)) <=> v90(constB42, bitIndex0))) | (~((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7400,plain,
% 6.64/4.80 (~((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7399, 2544])).
% 6.64/4.80 tff(7401,plain,
% 6.64/4.80 ((((~v129(constB42, bitIndex2)) <=> v127(constB41, bitIndex2)) | ((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | ((~v129(constB42, bitIndex0)) <=> v127(constB41, bitIndex0))) | (~((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7402,plain,
% 6.64/4.80 (~((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7401, 2553])).
% 6.64/4.80 tff(7403,plain,
% 6.64/4.80 ((((~v127(constB41, bitIndex2)) <=> v130(constB41, bitIndex2)) | ((~v127(constB41, bitIndex0)) <=> v130(constB41, bitIndex0)) | ((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1))) | (~((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7404,plain,
% 6.64/4.80 (~((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7403, 2567])).
% 6.64/4.80 tff(7405,plain,
% 6.64/4.80 ((v130(constB41, bitIndex2) | (~v130(constB41, bitIndex0)) | (~v130(constB41, bitIndex1))) | v130(constB41, bitIndex1)),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7406,plain,
% 6.64/4.80 (v130(constB41, bitIndex1)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7405, 7270])).
% 6.64/4.80 tff(7407,plain,
% 6.64/4.80 (((~v127(constB41, bitIndex1)) <=> v130(constB41, bitIndex1)) | v127(constB41, bitIndex1) | (~v130(constB41, bitIndex1))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7408,plain,
% 6.64/4.80 (v127(constB41, bitIndex1)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7407, 7406, 7404])).
% 6.64/4.80 tff(7409,plain,
% 6.64/4.80 (((~v129(constB42, bitIndex1)) <=> v127(constB41, bitIndex1)) | v129(constB42, bitIndex1) | (~v127(constB41, bitIndex1))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7410,plain,
% 6.64/4.80 (v129(constB42, bitIndex1)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7409, 7408, 7402])).
% 6.64/4.80 tff(7411,plain,
% 6.64/4.80 ((((~v90(constB42, bitIndex0)) <=> v129(constB42, bitIndex0)) | ((~v90(constB42, bitIndex2)) <=> v129(constB42, bitIndex2)) | ((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))) | (~((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7412,plain,
% 6.64/4.80 (~((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7411, 7374])).
% 6.64/4.80 tff(7413,plain,
% 6.64/4.80 (((~v90(constB42, bitIndex1)) <=> v129(constB42, bitIndex1)) | v90(constB42, bitIndex1) | (~v129(constB42, bitIndex1))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7414,plain,
% 6.64/4.80 (v90(constB42, bitIndex1)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7413, 7412, 7410])).
% 6.64/4.80 tff(7415,plain,
% 6.64/4.80 (((~v90(constB43, bitIndex1)) <=> v90(constB42, bitIndex1)) | v90(constB43, bitIndex1) | (~v90(constB42, bitIndex1))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7416,plain,
% 6.64/4.80 (v90(constB43, bitIndex1)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7415, 7414, 7400])).
% 6.64/4.80 tff(7417,plain,
% 6.64/4.80 ((~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))) | v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7418,plain,
% 6.64/4.80 (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7417, 7416, 7398, 7380])).
% 6.64/4.80 tff(7419,plain,
% 6.64/4.80 ((~(v122(constB43) <=> (~(v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))))) | v122(constB43) | (v90(constB43, bitIndex2) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex0)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7420,plain,
% 6.64/4.80 (v122(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7419, 7418, 2510])).
% 6.64/4.80 tff(7421,plain,
% 6.64/4.80 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB43)) | (~(v130(constB43, bitIndex0) | v130(constB43, bitIndex1) | (~v130(constB43, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB43)) | (~(v130(constB43, bitIndex0) | v130(constB43, bitIndex1) | (~v130(constB43, bitIndex2)))))),
% 6.64/4.80 inference(rewrite,[status(thm)],[])).
% 6.64/4.80 tff(7422,plain,
% 6.64/4.80 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB43)) | (~(v130(constB43, bitIndex0) | v130(constB43, bitIndex1) | (~v130(constB43, bitIndex2)))))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7423,plain,
% 6.64/4.80 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB43)) | (~(v130(constB43, bitIndex0) | v130(constB43, bitIndex1) | (~v130(constB43, bitIndex2))))),
% 6.64/4.80 inference(modus_ponens,[status(thm)],[7422, 7421])).
% 6.64/4.80 tff(7424,plain,
% 6.64/4.80 ((~v122(constB43)) | (~(v130(constB43, bitIndex0) | v130(constB43, bitIndex1) | (~v130(constB43, bitIndex2))))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7423, 4563])).
% 6.64/4.80 tff(7425,plain,
% 6.64/4.80 (~(v130(constB43, bitIndex0) | v130(constB43, bitIndex1) | (~v130(constB43, bitIndex2)))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7424, 7420])).
% 6.64/4.80 tff(7426,plain,
% 6.64/4.80 ((v130(constB43, bitIndex0) | v130(constB43, bitIndex1) | (~v130(constB43, bitIndex2))) | v130(constB43, bitIndex2)),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7427,plain,
% 6.64/4.80 (v130(constB43, bitIndex2)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7426, 7425])).
% 6.64/4.80 tff(7428,plain,
% 6.64/4.80 (((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | v127(constB43, bitIndex2) | (~v130(constB43, bitIndex2))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7429,plain,
% 6.64/4.80 (v127(constB43, bitIndex2)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7428, 7427, 2503])).
% 6.64/4.80 tff(7430,plain,
% 6.64/4.80 (((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | v129(constB44, bitIndex2) | (~v127(constB43, bitIndex2))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7431,plain,
% 6.64/4.80 (v129(constB44, bitIndex2)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7430, 7429, 2489])).
% 6.64/4.80 tff(7432,plain,
% 6.64/4.80 (((~![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))))))),
% 6.64/4.80 inference(rewrite,[status(thm)],[])).
% 6.64/4.80 tff(7433,plain,
% 6.64/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7434,plain,
% 6.64/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB43, constB44)) | (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))),
% 6.64/4.80 inference(modus_ponens,[status(thm)],[7433, 7432])).
% 6.64/4.80 tff(7435,plain,
% 6.64/4.80 (v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44))))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7434, 2483, 433])).
% 6.64/4.80 tff(7436,plain,
% 6.64/4.80 (((~![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))))))),
% 6.64/4.80 inference(rewrite,[status(thm)],[])).
% 6.64/4.80 tff(7437,plain,
% 6.64/4.80 (((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44)))))) <=> ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))))),
% 6.64/4.80 inference(rewrite,[status(thm)],[])).
% 6.64/4.80 tff(7438,plain,
% 6.64/4.80 (((~![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)))))))),
% 6.64/4.80 inference(monotonicity,[status(thm)],[7437])).
% 6.64/4.80 tff(7439,plain,
% 6.64/4.80 (((~![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))))))),
% 6.64/4.80 inference(transitivity,[status(thm)],[7438, 7436])).
% 6.64/4.80 tff(7440,plain,
% 6.64/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v102(constB44)) | (~v1(constB44))))))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7441,plain,
% 6.64/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))),
% 6.64/4.80 inference(modus_ponens,[status(thm)],[7440, 7439])).
% 6.64/4.80 tff(7442,plain,
% 6.64/4.80 (v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44))))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7441, 2483, 453])).
% 6.64/4.80 tff(7443,plain,
% 6.64/4.80 (((~![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)))),
% 6.64/4.80 inference(rewrite,[status(thm)],[])).
% 6.64/4.80 tff(7444,plain,
% 6.64/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44)))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7445,plain,
% 6.64/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB43, constB44)) | ((~v102(constB44)) <=> v104(constB44))),
% 6.64/4.80 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 6.64/4.80 tff(7446,plain,
% 6.64/4.80 ((~v102(constB44)) <=> v104(constB44)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7445, 2483, 3966])).
% 6.64/4.80 tff(7447,plain,
% 6.64/4.80 (((~![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)))),
% 6.64/4.80 inference(rewrite,[status(thm)],[])).
% 6.64/4.80 tff(7448,plain,
% 6.64/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43)))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7449,plain,
% 6.64/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v1(constB43))),
% 6.64/4.80 inference(modus_ponens,[status(thm)],[7448, 7447])).
% 6.64/4.80 tff(7450,plain,
% 6.64/4.80 (v104(constB44) <=> v1(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7449, 2483, 3980])).
% 6.64/4.80 tff(7451,plain,
% 6.64/4.80 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44)) | v1(constB43)),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7452,plain,
% 6.64/4.80 ((~(v104(constB44) <=> v1(constB43))) | (~v104(constB44))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7451, 2527])).
% 6.64/4.80 tff(7453,plain,
% 6.64/4.80 (~v104(constB44)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7452, 7450])).
% 6.64/4.80 tff(7454,plain,
% 6.64/4.80 ((~((~v102(constB44)) <=> v104(constB44))) | v102(constB44) | v104(constB44)),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7455,plain,
% 6.64/4.80 (v102(constB44)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7454, 7453, 7446])).
% 6.64/4.80 tff(7456,plain,
% 6.64/4.80 (v1(constB44) <=> v1(constB44)),
% 6.64/4.80 inference(rewrite,[status(thm)],[])).
% 6.64/4.80 tff(7457,axiom,(v1(constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_44')).
% 6.64/4.80 tff(7458,plain,
% 6.64/4.80 (v1(constB44)),
% 6.64/4.80 inference(modus_ponens,[status(thm)],[7457, 7456])).
% 6.64/4.80 tff(7459,plain,
% 6.64/4.80 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v1(constB44)) | (~v102(constB44))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7460,plain,
% 6.64/4.80 ((~((~v1(constB44)) | (~v102(constB44)))) | (~v102(constB44))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7459, 7458])).
% 6.64/4.80 tff(7461,plain,
% 6.64/4.80 (~((~v1(constB44)) | (~v102(constB44)))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7460, 7455])).
% 6.64/4.80 tff(7462,plain,
% 6.64/4.80 ((~(v101(constB44) <=> (~((~v1(constB44)) | (~v102(constB44)))))) | v101(constB44) | ((~v1(constB44)) | (~v102(constB44)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7463,plain,
% 6.64/4.80 (v101(constB44)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7462, 7461, 7442])).
% 6.64/4.80 tff(7464,plain,
% 6.64/4.80 (((~![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)))),
% 6.64/4.80 inference(rewrite,[status(thm)],[])).
% 6.64/4.80 tff(7465,plain,
% 6.64/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43)))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7466,plain,
% 6.64/4.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB43, constB44)) | (v110(constB44) <=> v108(constB43))),
% 6.64/4.80 inference(modus_ponens,[status(thm)],[7465, 7464])).
% 6.64/4.80 tff(7467,plain,
% 6.64/4.80 (v110(constB44) <=> v108(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7466, 2483, 4007])).
% 6.64/4.80 tff(7468,plain,
% 6.64/4.80 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB43) <=> (v111(constB43) | v112(constB43)))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7469,plain,
% 6.64/4.80 (v108(constB43) <=> (v111(constB43) | v112(constB43))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7468, 4018])).
% 6.64/4.80 tff(7470,plain,
% 6.64/4.80 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7471,plain,
% 6.64/4.80 (v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43))))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7470, 4030])).
% 6.64/4.80 tff(7472,plain,
% 6.64/4.80 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB43) <=> (v114(constB43) | v125(constB43)))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7473,plain,
% 6.64/4.80 (v113(constB43) <=> (v114(constB43) | v125(constB43))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7472, 4039])).
% 6.64/4.80 tff(7474,plain,
% 6.64/4.80 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB43) <=> (v115(constB43) | v124(constB43)))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7475,plain,
% 6.64/4.80 (v114(constB43) <=> (v115(constB43) | v124(constB43))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7474, 4048])).
% 6.64/4.80 tff(7476,plain,
% 6.64/4.80 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB43) <=> (v116(constB43) | v123(constB43)))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7477,plain,
% 6.64/4.80 (v115(constB43) <=> (v116(constB43) | v123(constB43))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7476, 4057])).
% 6.64/4.80 tff(7478,plain,
% 6.64/4.80 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB43) <=> (v117(constB43) | v122(constB43)))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7479,plain,
% 6.64/4.80 (v116(constB43) <=> (v117(constB43) | v122(constB43))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7478, 4066])).
% 6.64/4.80 tff(7480,plain,
% 6.64/4.80 ((v117(constB43) | v122(constB43)) | (~v122(constB43))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7481,plain,
% 6.64/4.80 (v117(constB43) | v122(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7480, 7420])).
% 6.64/4.80 tff(7482,plain,
% 6.64/4.80 ((~(v116(constB43) <=> (v117(constB43) | v122(constB43)))) | v116(constB43) | (~(v117(constB43) | v122(constB43)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7483,plain,
% 6.64/4.80 (v116(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7482, 7481, 7479])).
% 6.64/4.80 tff(7484,plain,
% 6.64/4.80 ((v116(constB43) | v123(constB43)) | (~v116(constB43))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7485,plain,
% 6.64/4.80 (v116(constB43) | v123(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7484, 7483])).
% 6.64/4.80 tff(7486,plain,
% 6.64/4.80 ((~(v115(constB43) <=> (v116(constB43) | v123(constB43)))) | v115(constB43) | (~(v116(constB43) | v123(constB43)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7487,plain,
% 6.64/4.80 (v115(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7486, 7485, 7477])).
% 6.64/4.80 tff(7488,plain,
% 6.64/4.80 ((v115(constB43) | v124(constB43)) | (~v115(constB43))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7489,plain,
% 6.64/4.80 (v115(constB43) | v124(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7488, 7487])).
% 6.64/4.80 tff(7490,plain,
% 6.64/4.80 ((~(v114(constB43) <=> (v115(constB43) | v124(constB43)))) | v114(constB43) | (~(v115(constB43) | v124(constB43)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7491,plain,
% 6.64/4.80 (v114(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7490, 7489, 7475])).
% 6.64/4.80 tff(7492,plain,
% 6.64/4.80 ((v114(constB43) | v125(constB43)) | (~v114(constB43))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7493,plain,
% 6.64/4.80 (v114(constB43) | v125(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7492, 7491])).
% 6.64/4.80 tff(7494,plain,
% 6.64/4.80 ((~(v113(constB43) <=> (v114(constB43) | v125(constB43)))) | v113(constB43) | (~(v114(constB43) | v125(constB43)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7495,plain,
% 6.64/4.80 (v113(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7494, 7493, 7473])).
% 6.64/4.80 tff(7496,plain,
% 6.64/4.80 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB43)) <=> v111(constB43))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7497,plain,
% 6.64/4.80 ((~v126(constB43)) <=> v111(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7496, 4118])).
% 6.64/4.80 tff(7498,plain,
% 6.64/4.80 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43) | v111(constB43)),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7499,plain,
% 6.64/4.80 ((~((~v126(constB43)) <=> v111(constB43))) | v126(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7498, 2496])).
% 6.64/4.80 tff(7500,plain,
% 6.64/4.80 (v126(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7499, 7497])).
% 6.64/4.80 tff(7501,plain,
% 6.64/4.80 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43)) | (~v126(constB43))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7502,plain,
% 6.64/4.80 ((~((~v113(constB43)) | (~v126(constB43)))) | (~v113(constB43))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7501, 7500])).
% 6.64/4.80 tff(7503,plain,
% 6.64/4.80 (~((~v113(constB43)) | (~v126(constB43)))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7502, 7495])).
% 6.64/4.80 tff(7504,plain,
% 6.64/4.80 ((~(v112(constB43) <=> (~((~v113(constB43)) | (~v126(constB43)))))) | v112(constB43) | ((~v113(constB43)) | (~v126(constB43)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7505,plain,
% 6.64/4.80 (v112(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7504, 7503, 7471])).
% 6.64/4.80 tff(7506,plain,
% 6.64/4.80 ((v111(constB43) | v112(constB43)) | (~v112(constB43))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7507,plain,
% 6.64/4.80 (v111(constB43) | v112(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7506, 7505])).
% 6.64/4.80 tff(7508,plain,
% 6.64/4.80 ((~(v108(constB43) <=> (v111(constB43) | v112(constB43)))) | v108(constB43) | (~(v111(constB43) | v112(constB43)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7509,plain,
% 6.64/4.80 (v108(constB43)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7508, 7507, 7469])).
% 6.64/4.80 tff(7510,plain,
% 6.64/4.80 ((~(v110(constB44) <=> v108(constB43))) | v110(constB44) | (~v108(constB43))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7511,plain,
% 6.64/4.80 (v110(constB44)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7510, 7509, 7467])).
% 6.64/4.80 tff(7512,plain,
% 6.64/4.80 ((~((~v101(constB44)) | (~v110(constB44)))) | (~v101(constB44)) | (~v110(constB44))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7513,plain,
% 6.64/4.80 (~((~v101(constB44)) | (~v110(constB44)))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7512, 7511, 7463])).
% 6.64/4.80 tff(7514,plain,
% 6.64/4.80 ((~(v100(constB44) <=> (~((~v101(constB44)) | (~v110(constB44)))))) | v100(constB44) | ((~v101(constB44)) | (~v110(constB44)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7515,plain,
% 6.64/4.80 (v100(constB44)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7514, 7513, 7435])).
% 6.64/4.80 tff(7516,plain,
% 6.64/4.80 (((~![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)))))),
% 6.64/4.80 inference(rewrite,[status(thm)],[])).
% 6.64/4.80 tff(7517,plain,
% 6.64/4.80 ((~![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)))))),
% 6.64/4.80 inference(quant_inst,[status(thm)],[])).
% 6.64/4.80 tff(7518,plain,
% 6.64/4.80 ((~![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))))),
% 6.64/4.80 inference(modus_ponens,[status(thm)],[7517, 7516])).
% 6.64/4.80 tff(7519,plain,
% 6.64/4.80 ((~v100(constB44)) | (~(((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0))))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7518, 4151])).
% 6.64/4.80 tff(7520,plain,
% 6.64/4.80 (~(((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0)))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7519, 7515])).
% 6.64/4.80 tff(7521,plain,
% 6.64/4.80 ((((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0))) | (~((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7522,plain,
% 6.64/4.80 (~((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7521, 7520])).
% 6.64/4.80 tff(7523,plain,
% 6.64/4.80 (((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7524,plain,
% 6.64/4.80 (v90(constB44, bitIndex2)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7523, 7522, 7431])).
% 6.64/4.80 tff(7525,plain,
% 6.64/4.80 (((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | v90(constB45, bitIndex2) | (~v90(constB44, bitIndex2))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7526,plain,
% 6.64/4.80 (v90(constB45, bitIndex2)),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7525, 7524, 2480])).
% 6.64/4.80 tff(7527,plain,
% 6.64/4.80 ((((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))) | (~((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7528,plain,
% 6.64/4.80 (~((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))),
% 6.64/4.80 inference(unit_resolution,[status(thm)],[7527, 2478])).
% 6.64/4.80 tff(7529,plain,
% 6.64/4.80 ((((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0))) | (~((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0)))),
% 6.64/4.80 inference(tautology,[status(thm)],[])).
% 6.64/4.80 tff(7530,plain,
% 6.64/4.80 (~((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7529, 2487])).
% 6.64/4.81 tff(7531,plain,
% 6.64/4.81 ((((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1))) | (~((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7532,plain,
% 6.64/4.81 (~((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7531, 2501])).
% 6.64/4.81 tff(7533,plain,
% 6.64/4.81 ((v130(constB43, bitIndex0) | v130(constB43, bitIndex1) | (~v130(constB43, bitIndex2))) | (~v130(constB43, bitIndex0))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7534,plain,
% 6.64/4.81 (~v130(constB43, bitIndex0)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7533, 7425])).
% 6.64/4.81 tff(7535,plain,
% 6.64/4.81 (((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)) | (~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7536,plain,
% 6.64/4.81 (~v127(constB43, bitIndex0)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7535, 7534, 7532])).
% 6.64/4.81 tff(7537,plain,
% 6.64/4.81 (((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0)) | (~v129(constB44, bitIndex0)) | v127(constB43, bitIndex0)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7538,plain,
% 6.64/4.81 (~v129(constB44, bitIndex0)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7537, 7536, 7530])).
% 6.64/4.81 tff(7539,plain,
% 6.64/4.81 ((((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0))) | (~((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7540,plain,
% 6.64/4.81 (~((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7539, 7520])).
% 6.64/4.81 tff(7541,plain,
% 6.64/4.81 (((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0)) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7542,plain,
% 6.64/4.81 (~v90(constB44, bitIndex0)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7541, 7540, 7538])).
% 6.64/4.81 tff(7543,plain,
% 6.64/4.81 (((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0)) | (~v90(constB45, bitIndex0)) | v90(constB44, bitIndex0)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7544,plain,
% 6.64/4.81 (~v90(constB45, bitIndex0)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7543, 7542, 7528])).
% 6.64/4.81 tff(7545,plain,
% 6.64/4.81 ((((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | ((~v90(constB45, bitIndex2)) <=> v90(constB44, bitIndex2)) | ((~v90(constB45, bitIndex0)) <=> v90(constB44, bitIndex0))) | (~((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7546,plain,
% 6.64/4.81 (~((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7545, 2478])).
% 6.64/4.81 tff(7547,plain,
% 6.64/4.81 ((((~v129(constB44, bitIndex2)) <=> v127(constB43, bitIndex2)) | ((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | ((~v129(constB44, bitIndex0)) <=> v127(constB43, bitIndex0))) | (~((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7548,plain,
% 6.64/4.81 (~((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7547, 2487])).
% 6.64/4.81 tff(7549,plain,
% 6.64/4.81 ((((~v127(constB43, bitIndex2)) <=> v130(constB43, bitIndex2)) | ((~v127(constB43, bitIndex0)) <=> v130(constB43, bitIndex0)) | ((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1))) | (~((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7550,plain,
% 6.64/4.81 (~((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7549, 2501])).
% 6.64/4.81 tff(7551,plain,
% 6.64/4.81 ((v130(constB43, bitIndex0) | v130(constB43, bitIndex1) | (~v130(constB43, bitIndex2))) | (~v130(constB43, bitIndex1))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7552,plain,
% 6.64/4.81 (~v130(constB43, bitIndex1)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7551, 7425])).
% 6.64/4.81 tff(7553,plain,
% 6.64/4.81 (((~v127(constB43, bitIndex1)) <=> v130(constB43, bitIndex1)) | (~v127(constB43, bitIndex1)) | v130(constB43, bitIndex1)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7554,plain,
% 6.64/4.81 (~v127(constB43, bitIndex1)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7553, 7552, 7550])).
% 6.64/4.81 tff(7555,plain,
% 6.64/4.81 (((~v129(constB44, bitIndex1)) <=> v127(constB43, bitIndex1)) | (~v129(constB44, bitIndex1)) | v127(constB43, bitIndex1)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7556,plain,
% 6.64/4.81 (~v129(constB44, bitIndex1)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7555, 7554, 7548])).
% 6.64/4.81 tff(7557,plain,
% 6.64/4.81 ((((~v90(constB44, bitIndex2)) <=> v129(constB44, bitIndex2)) | ((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | ((~v90(constB44, bitIndex0)) <=> v129(constB44, bitIndex0))) | (~((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7558,plain,
% 6.64/4.81 (~((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7557, 7520])).
% 6.64/4.81 tff(7559,plain,
% 6.64/4.81 (((~v90(constB44, bitIndex1)) <=> v129(constB44, bitIndex1)) | (~v90(constB44, bitIndex1)) | v129(constB44, bitIndex1)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7560,plain,
% 6.64/4.81 (~v90(constB44, bitIndex1)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7559, 7558, 7556])).
% 6.64/4.81 tff(7561,plain,
% 6.64/4.81 (((~v90(constB45, bitIndex1)) <=> v90(constB44, bitIndex1)) | (~v90(constB45, bitIndex1)) | v90(constB44, bitIndex1)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7562,plain,
% 6.64/4.81 (~v90(constB45, bitIndex1)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7561, 7560, 7546])).
% 6.64/4.81 tff(7563,plain,
% 6.64/4.81 ((~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2)))) | v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7564,plain,
% 6.64/4.81 (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2)))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7563, 7562, 7544, 7526])).
% 6.64/4.81 tff(7565,plain,
% 6.64/4.81 ((~(v123(constB45) <=> (~(v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2)))))) | v123(constB45) | (v90(constB45, bitIndex1) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex2)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7566,plain,
% 6.64/4.81 (v123(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7565, 7564, 2444])).
% 6.64/4.81 tff(7567,plain,
% 6.64/4.81 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB45)) | (~(v130(constB45, bitIndex1) | (~v130(constB45, bitIndex2)) | (~v130(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB45)) | (~(v130(constB45, bitIndex1) | (~v130(constB45, bitIndex2)) | (~v130(constB45, bitIndex0)))))),
% 6.64/4.81 inference(rewrite,[status(thm)],[])).
% 6.64/4.81 tff(7568,plain,
% 6.64/4.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB45)) | (~(v130(constB45, bitIndex1) | (~v130(constB45, bitIndex2)) | (~v130(constB45, bitIndex0)))))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7569,plain,
% 6.64/4.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB45)) | (~(v130(constB45, bitIndex1) | (~v130(constB45, bitIndex2)) | (~v130(constB45, bitIndex0))))),
% 6.64/4.81 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 6.64/4.81 tff(7570,plain,
% 6.64/4.81 ((~v123(constB45)) | (~(v130(constB45, bitIndex1) | (~v130(constB45, bitIndex2)) | (~v130(constB45, bitIndex0))))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7569, 4722])).
% 6.64/4.81 tff(7571,plain,
% 6.64/4.81 (~(v130(constB45, bitIndex1) | (~v130(constB45, bitIndex2)) | (~v130(constB45, bitIndex0)))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7570, 7566])).
% 6.64/4.81 tff(7572,plain,
% 6.64/4.81 ((v130(constB45, bitIndex1) | (~v130(constB45, bitIndex2)) | (~v130(constB45, bitIndex0))) | v130(constB45, bitIndex2)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7573,plain,
% 6.64/4.81 (v130(constB45, bitIndex2)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7572, 7571])).
% 6.64/4.81 tff(7574,plain,
% 6.64/4.81 (((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | v127(constB45, bitIndex2) | (~v130(constB45, bitIndex2))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7575,plain,
% 6.64/4.81 (v127(constB45, bitIndex2)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7574, 7573, 2437])).
% 6.64/4.81 tff(7576,plain,
% 6.64/4.81 (((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | v129(constB46, bitIndex2) | (~v127(constB45, bitIndex2))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7577,plain,
% 6.64/4.81 (v129(constB46, bitIndex2)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7576, 7575, 2423])).
% 6.64/4.81 tff(7578,plain,
% 6.64/4.81 (((~![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))))))),
% 6.64/4.81 inference(rewrite,[status(thm)],[])).
% 6.64/4.81 tff(7579,plain,
% 6.64/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7580,plain,
% 6.64/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB45, constB46)) | (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))),
% 6.64/4.81 inference(modus_ponens,[status(thm)],[7579, 7578])).
% 6.64/4.81 tff(7581,plain,
% 6.64/4.81 (v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46))))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7580, 2417, 433])).
% 6.64/4.81 tff(7582,plain,
% 6.64/4.81 (((~![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))))))),
% 6.64/4.81 inference(rewrite,[status(thm)],[])).
% 6.64/4.81 tff(7583,plain,
% 6.64/4.81 (((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46)))))) <=> ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))))),
% 6.64/4.81 inference(rewrite,[status(thm)],[])).
% 6.64/4.81 tff(7584,plain,
% 6.64/4.81 (((~![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)))))))),
% 6.64/4.81 inference(monotonicity,[status(thm)],[7583])).
% 6.64/4.81 tff(7585,plain,
% 6.64/4.81 (((~![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))))))),
% 6.64/4.81 inference(transitivity,[status(thm)],[7584, 7582])).
% 6.64/4.81 tff(7586,plain,
% 6.64/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v102(constB46)) | (~v1(constB46))))))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7587,plain,
% 6.64/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))),
% 6.64/4.81 inference(modus_ponens,[status(thm)],[7586, 7585])).
% 6.64/4.81 tff(7588,plain,
% 6.64/4.81 (v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46))))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7587, 2417, 453])).
% 6.64/4.81 tff(7589,plain,
% 6.64/4.81 (((~![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)))),
% 6.64/4.81 inference(rewrite,[status(thm)],[])).
% 6.64/4.81 tff(7590,plain,
% 6.64/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46)))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7591,plain,
% 6.64/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB45, constB46)) | ((~v102(constB46)) <=> v104(constB46))),
% 6.64/4.81 inference(modus_ponens,[status(thm)],[7590, 7589])).
% 6.64/4.81 tff(7592,plain,
% 6.64/4.81 ((~v102(constB46)) <=> v104(constB46)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7591, 2417, 3966])).
% 6.64/4.81 tff(7593,plain,
% 6.64/4.81 (((~![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)))),
% 6.64/4.81 inference(rewrite,[status(thm)],[])).
% 6.64/4.81 tff(7594,plain,
% 6.64/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45)))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7595,plain,
% 6.64/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v1(constB45))),
% 6.64/4.81 inference(modus_ponens,[status(thm)],[7594, 7593])).
% 6.64/4.81 tff(7596,plain,
% 6.64/4.81 (v104(constB46) <=> v1(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7595, 2417, 3980])).
% 6.64/4.81 tff(7597,plain,
% 6.64/4.81 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46)) | v1(constB45)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7598,plain,
% 6.64/4.81 ((~(v104(constB46) <=> v1(constB45))) | (~v104(constB46))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7597, 2461])).
% 6.64/4.81 tff(7599,plain,
% 6.64/4.81 (~v104(constB46)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7598, 7596])).
% 6.64/4.81 tff(7600,plain,
% 6.64/4.81 ((~((~v102(constB46)) <=> v104(constB46))) | v102(constB46) | v104(constB46)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7601,plain,
% 6.64/4.81 (v102(constB46)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7600, 7599, 7592])).
% 6.64/4.81 tff(7602,plain,
% 6.64/4.81 (v1(constB46) <=> v1(constB46)),
% 6.64/4.81 inference(rewrite,[status(thm)],[])).
% 6.64/4.81 tff(7603,axiom,(v1(constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_46')).
% 6.64/4.81 tff(7604,plain,
% 6.64/4.81 (v1(constB46)),
% 6.64/4.81 inference(modus_ponens,[status(thm)],[7603, 7602])).
% 6.64/4.81 tff(7605,plain,
% 6.64/4.81 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v1(constB46)) | (~v102(constB46))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7606,plain,
% 6.64/4.81 ((~((~v1(constB46)) | (~v102(constB46)))) | (~v102(constB46))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7605, 7604])).
% 6.64/4.81 tff(7607,plain,
% 6.64/4.81 (~((~v1(constB46)) | (~v102(constB46)))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7606, 7601])).
% 6.64/4.81 tff(7608,plain,
% 6.64/4.81 ((~(v101(constB46) <=> (~((~v1(constB46)) | (~v102(constB46)))))) | v101(constB46) | ((~v1(constB46)) | (~v102(constB46)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7609,plain,
% 6.64/4.81 (v101(constB46)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7608, 7607, 7588])).
% 6.64/4.81 tff(7610,plain,
% 6.64/4.81 (((~![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)))),
% 6.64/4.81 inference(rewrite,[status(thm)],[])).
% 6.64/4.81 tff(7611,plain,
% 6.64/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45)))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7612,plain,
% 6.64/4.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB45, constB46)) | (v110(constB46) <=> v108(constB45))),
% 6.64/4.81 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 6.64/4.81 tff(7613,plain,
% 6.64/4.81 (v110(constB46) <=> v108(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7612, 2417, 4007])).
% 6.64/4.81 tff(7614,plain,
% 6.64/4.81 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB45) <=> (v111(constB45) | v112(constB45)))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7615,plain,
% 6.64/4.81 (v108(constB45) <=> (v111(constB45) | v112(constB45))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7614, 4018])).
% 6.64/4.81 tff(7616,plain,
% 6.64/4.81 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7617,plain,
% 6.64/4.81 (v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45))))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7616, 4030])).
% 6.64/4.81 tff(7618,plain,
% 6.64/4.81 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB45) <=> (v114(constB45) | v125(constB45)))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7619,plain,
% 6.64/4.81 (v113(constB45) <=> (v114(constB45) | v125(constB45))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7618, 4039])).
% 6.64/4.81 tff(7620,plain,
% 6.64/4.81 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB45) <=> (v115(constB45) | v124(constB45)))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7621,plain,
% 6.64/4.81 (v114(constB45) <=> (v115(constB45) | v124(constB45))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7620, 4048])).
% 6.64/4.81 tff(7622,plain,
% 6.64/4.81 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB45) <=> (v116(constB45) | v123(constB45)))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7623,plain,
% 6.64/4.81 (v115(constB45) <=> (v116(constB45) | v123(constB45))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7622, 4057])).
% 6.64/4.81 tff(7624,plain,
% 6.64/4.81 ((v116(constB45) | v123(constB45)) | (~v123(constB45))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7625,plain,
% 6.64/4.81 (v116(constB45) | v123(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7624, 7566])).
% 6.64/4.81 tff(7626,plain,
% 6.64/4.81 ((~(v115(constB45) <=> (v116(constB45) | v123(constB45)))) | v115(constB45) | (~(v116(constB45) | v123(constB45)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7627,plain,
% 6.64/4.81 (v115(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7626, 7625, 7623])).
% 6.64/4.81 tff(7628,plain,
% 6.64/4.81 ((v115(constB45) | v124(constB45)) | (~v115(constB45))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7629,plain,
% 6.64/4.81 (v115(constB45) | v124(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7628, 7627])).
% 6.64/4.81 tff(7630,plain,
% 6.64/4.81 ((~(v114(constB45) <=> (v115(constB45) | v124(constB45)))) | v114(constB45) | (~(v115(constB45) | v124(constB45)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7631,plain,
% 6.64/4.81 (v114(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7630, 7629, 7621])).
% 6.64/4.81 tff(7632,plain,
% 6.64/4.81 ((v114(constB45) | v125(constB45)) | (~v114(constB45))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7633,plain,
% 6.64/4.81 (v114(constB45) | v125(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7632, 7631])).
% 6.64/4.81 tff(7634,plain,
% 6.64/4.81 ((~(v113(constB45) <=> (v114(constB45) | v125(constB45)))) | v113(constB45) | (~(v114(constB45) | v125(constB45)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7635,plain,
% 6.64/4.81 (v113(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7634, 7633, 7619])).
% 6.64/4.81 tff(7636,plain,
% 6.64/4.81 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB45)) <=> v111(constB45))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7637,plain,
% 6.64/4.81 ((~v126(constB45)) <=> v111(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7636, 4118])).
% 6.64/4.81 tff(7638,plain,
% 6.64/4.81 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45) | v111(constB45)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7639,plain,
% 6.64/4.81 ((~((~v126(constB45)) <=> v111(constB45))) | v126(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7638, 2430])).
% 6.64/4.81 tff(7640,plain,
% 6.64/4.81 (v126(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7639, 7637])).
% 6.64/4.81 tff(7641,plain,
% 6.64/4.81 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45)) | (~v126(constB45))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7642,plain,
% 6.64/4.81 ((~((~v113(constB45)) | (~v126(constB45)))) | (~v113(constB45))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7641, 7640])).
% 6.64/4.81 tff(7643,plain,
% 6.64/4.81 (~((~v113(constB45)) | (~v126(constB45)))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7642, 7635])).
% 6.64/4.81 tff(7644,plain,
% 6.64/4.81 ((~(v112(constB45) <=> (~((~v113(constB45)) | (~v126(constB45)))))) | v112(constB45) | ((~v113(constB45)) | (~v126(constB45)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7645,plain,
% 6.64/4.81 (v112(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7644, 7643, 7617])).
% 6.64/4.81 tff(7646,plain,
% 6.64/4.81 ((v111(constB45) | v112(constB45)) | (~v112(constB45))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7647,plain,
% 6.64/4.81 (v111(constB45) | v112(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7646, 7645])).
% 6.64/4.81 tff(7648,plain,
% 6.64/4.81 ((~(v108(constB45) <=> (v111(constB45) | v112(constB45)))) | v108(constB45) | (~(v111(constB45) | v112(constB45)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7649,plain,
% 6.64/4.81 (v108(constB45)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7648, 7647, 7615])).
% 6.64/4.81 tff(7650,plain,
% 6.64/4.81 ((~(v110(constB46) <=> v108(constB45))) | v110(constB46) | (~v108(constB45))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7651,plain,
% 6.64/4.81 (v110(constB46)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7650, 7649, 7613])).
% 6.64/4.81 tff(7652,plain,
% 6.64/4.81 ((~((~v101(constB46)) | (~v110(constB46)))) | (~v101(constB46)) | (~v110(constB46))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7653,plain,
% 6.64/4.81 (~((~v101(constB46)) | (~v110(constB46)))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7652, 7651, 7609])).
% 6.64/4.81 tff(7654,plain,
% 6.64/4.81 ((~(v100(constB46) <=> (~((~v101(constB46)) | (~v110(constB46)))))) | v100(constB46) | ((~v101(constB46)) | (~v110(constB46)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7655,plain,
% 6.64/4.81 (v100(constB46)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7654, 7653, 7581])).
% 6.64/4.81 tff(7656,plain,
% 6.64/4.81 (((~![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)))))),
% 6.64/4.81 inference(rewrite,[status(thm)],[])).
% 6.64/4.81 tff(7657,plain,
% 6.64/4.81 (((~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)))))),
% 6.64/4.81 inference(rewrite,[status(thm)],[])).
% 6.64/4.81 tff(7658,plain,
% 6.64/4.81 (((~![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))))))),
% 6.64/4.81 inference(monotonicity,[status(thm)],[7657])).
% 6.64/4.81 tff(7659,plain,
% 6.64/4.81 (((~![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)))))),
% 6.64/4.81 inference(transitivity,[status(thm)],[7658, 7656])).
% 6.64/4.81 tff(7660,plain,
% 6.64/4.81 ((~![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)))))),
% 6.64/4.81 inference(quant_inst,[status(thm)],[])).
% 6.64/4.81 tff(7661,plain,
% 6.64/4.81 ((~![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))))),
% 6.64/4.81 inference(modus_ponens,[status(thm)],[7660, 7659])).
% 6.64/4.81 tff(7662,plain,
% 6.64/4.81 ((~v100(constB46)) | (~(((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7661, 4151])).
% 6.64/4.81 tff(7663,plain,
% 6.64/4.81 (~(((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7662, 7655])).
% 6.64/4.81 tff(7664,plain,
% 6.64/4.81 ((((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))) | (~((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7665,plain,
% 6.64/4.81 (~((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7664, 7663])).
% 6.64/4.81 tff(7666,plain,
% 6.64/4.81 (((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | v90(constB46, bitIndex2) | (~v129(constB46, bitIndex2))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7667,plain,
% 6.64/4.81 (v90(constB46, bitIndex2)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7666, 7665, 7577])).
% 6.64/4.81 tff(7668,plain,
% 6.64/4.81 (((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | v90(constB47, bitIndex2) | (~v90(constB46, bitIndex2))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7669,plain,
% 6.64/4.81 (v90(constB47, bitIndex2)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7668, 7667, 2414])).
% 6.64/4.81 tff(7670,plain,
% 6.64/4.81 ((((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))) | (~((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7671,plain,
% 6.64/4.81 (~((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7670, 2412])).
% 6.64/4.81 tff(7672,plain,
% 6.64/4.81 ((((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0))) | (~((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7673,plain,
% 6.64/4.81 (~((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7672, 2421])).
% 6.64/4.81 tff(7674,plain,
% 6.64/4.81 ((((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1))) | (~((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7675,plain,
% 6.64/4.81 (~((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7674, 2435])).
% 6.64/4.81 tff(7676,plain,
% 6.64/4.81 ((v130(constB45, bitIndex1) | (~v130(constB45, bitIndex2)) | (~v130(constB45, bitIndex0))) | v130(constB45, bitIndex0)),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7677,plain,
% 6.64/4.81 (v130(constB45, bitIndex0)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7676, 7571])).
% 6.64/4.81 tff(7678,plain,
% 6.64/4.81 (((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)) | v127(constB45, bitIndex0) | (~v130(constB45, bitIndex0))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7679,plain,
% 6.64/4.81 (v127(constB45, bitIndex0)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7678, 7677, 7675])).
% 6.64/4.81 tff(7680,plain,
% 6.64/4.81 (((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0)) | v129(constB46, bitIndex0) | (~v127(constB45, bitIndex0))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7681,plain,
% 6.64/4.81 (v129(constB46, bitIndex0)),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7680, 7679, 7673])).
% 6.64/4.81 tff(7682,plain,
% 6.64/4.81 ((((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))) | (~((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7683,plain,
% 6.64/4.81 (~((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0))),
% 6.64/4.81 inference(unit_resolution,[status(thm)],[7682, 7663])).
% 6.64/4.81 tff(7684,plain,
% 6.64/4.81 (((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0))),
% 6.64/4.81 inference(tautology,[status(thm)],[])).
% 6.64/4.81 tff(7685,plain,
% 6.64/4.82 (v90(constB46, bitIndex0)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7684, 7683, 7681])).
% 6.64/4.82 tff(7686,plain,
% 6.64/4.82 (((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0)) | v90(constB47, bitIndex0) | (~v90(constB46, bitIndex0))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7687,plain,
% 6.64/4.82 (v90(constB47, bitIndex0)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7686, 7685, 7671])).
% 6.64/4.82 tff(7688,plain,
% 6.64/4.82 ((((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | ((~v90(constB47, bitIndex2)) <=> v90(constB46, bitIndex2)) | ((~v90(constB47, bitIndex0)) <=> v90(constB46, bitIndex0))) | (~((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7689,plain,
% 6.64/4.82 (~((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7688, 2412])).
% 6.64/4.82 tff(7690,plain,
% 6.64/4.82 ((((~v129(constB46, bitIndex2)) <=> v127(constB45, bitIndex2)) | ((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | ((~v129(constB46, bitIndex0)) <=> v127(constB45, bitIndex0))) | (~((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7691,plain,
% 6.64/4.82 (~((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7690, 2421])).
% 6.64/4.82 tff(7692,plain,
% 6.64/4.82 ((((~v127(constB45, bitIndex2)) <=> v130(constB45, bitIndex2)) | ((~v127(constB45, bitIndex0)) <=> v130(constB45, bitIndex0)) | ((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1))) | (~((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7693,plain,
% 6.64/4.82 (~((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7692, 2435])).
% 6.64/4.82 tff(7694,plain,
% 6.64/4.82 ((v130(constB45, bitIndex1) | (~v130(constB45, bitIndex2)) | (~v130(constB45, bitIndex0))) | (~v130(constB45, bitIndex1))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7695,plain,
% 6.64/4.82 (~v130(constB45, bitIndex1)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7694, 7571])).
% 6.64/4.82 tff(7696,plain,
% 6.64/4.82 (((~v127(constB45, bitIndex1)) <=> v130(constB45, bitIndex1)) | (~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7697,plain,
% 6.64/4.82 (~v127(constB45, bitIndex1)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7696, 7695, 7693])).
% 6.64/4.82 tff(7698,plain,
% 6.64/4.82 (((~v129(constB46, bitIndex1)) <=> v127(constB45, bitIndex1)) | (~v129(constB46, bitIndex1)) | v127(constB45, bitIndex1)),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7699,plain,
% 6.64/4.82 (~v129(constB46, bitIndex1)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7698, 7697, 7691])).
% 6.64/4.82 tff(7700,plain,
% 6.64/4.82 ((((~v90(constB46, bitIndex0)) <=> v129(constB46, bitIndex0)) | ((~v90(constB46, bitIndex2)) <=> v129(constB46, bitIndex2)) | ((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))) | (~((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7701,plain,
% 6.64/4.82 (~((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7700, 7663])).
% 6.64/4.82 tff(7702,plain,
% 6.64/4.82 (((~v90(constB46, bitIndex1)) <=> v129(constB46, bitIndex1)) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1)),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7703,plain,
% 6.64/4.82 (~v90(constB46, bitIndex1)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7702, 7701, 7699])).
% 6.64/4.82 tff(7704,plain,
% 6.64/4.82 (((~v90(constB47, bitIndex1)) <=> v90(constB46, bitIndex1)) | (~v90(constB47, bitIndex1)) | v90(constB46, bitIndex1)),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7705,plain,
% 6.64/4.82 (~v90(constB47, bitIndex1)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7704, 7703, 7689])).
% 6.64/4.82 tff(7706,plain,
% 6.64/4.82 ((~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0)))) | v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7707,plain,
% 6.64/4.82 (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0)))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7706, 7705, 7687, 7669])).
% 6.64/4.82 tff(7708,plain,
% 6.64/4.82 ((~(v124(constB47) <=> (~(v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0)))))) | v124(constB47) | (v90(constB47, bitIndex1) | (~v90(constB47, bitIndex2)) | (~v90(constB47, bitIndex0)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7709,plain,
% 6.64/4.82 (v124(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7708, 7707, 2378])).
% 6.64/4.82 tff(7710,plain,
% 6.64/4.82 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB47)) | (~(v130(constB47, bitIndex0) | (~v130(constB47, bitIndex2)) | (~v130(constB47, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB47)) | (~(v130(constB47, bitIndex0) | (~v130(constB47, bitIndex2)) | (~v130(constB47, bitIndex1)))))),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7711,plain,
% 6.64/4.82 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB47)) | (~(v130(constB47, bitIndex0) | (~v130(constB47, bitIndex2)) | (~v130(constB47, bitIndex1)))))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7712,plain,
% 6.64/4.82 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB47)) | (~(v130(constB47, bitIndex0) | (~v130(constB47, bitIndex2)) | (~v130(constB47, bitIndex1))))),
% 6.64/4.82 inference(modus_ponens,[status(thm)],[7711, 7710])).
% 6.64/4.82 tff(7713,plain,
% 6.64/4.82 ((~v124(constB47)) | (~(v130(constB47, bitIndex0) | (~v130(constB47, bitIndex2)) | (~v130(constB47, bitIndex1))))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7712, 4878])).
% 6.64/4.82 tff(7714,plain,
% 6.64/4.82 (~(v130(constB47, bitIndex0) | (~v130(constB47, bitIndex2)) | (~v130(constB47, bitIndex1)))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7713, 7709])).
% 6.64/4.82 tff(7715,plain,
% 6.64/4.82 ((v130(constB47, bitIndex0) | (~v130(constB47, bitIndex2)) | (~v130(constB47, bitIndex1))) | v130(constB47, bitIndex2)),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7716,plain,
% 6.64/4.82 (v130(constB47, bitIndex2)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7715, 7714])).
% 6.64/4.82 tff(7717,plain,
% 6.64/4.82 (((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | v127(constB47, bitIndex2) | (~v130(constB47, bitIndex2))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7718,plain,
% 6.64/4.82 (v127(constB47, bitIndex2)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7717, 7716, 2371])).
% 6.64/4.82 tff(7719,plain,
% 6.64/4.82 (((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | v129(constB48, bitIndex2) | (~v127(constB47, bitIndex2))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7720,plain,
% 6.64/4.82 (v129(constB48, bitIndex2)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7719, 7718, 2357])).
% 6.64/4.82 tff(7721,plain,
% 6.64/4.82 (((~![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))))))),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7722,plain,
% 6.64/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7723,plain,
% 6.64/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB47, constB48)) | (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))),
% 6.64/4.82 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 6.64/4.82 tff(7724,plain,
% 6.64/4.82 (v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48))))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7723, 2351, 433])).
% 6.64/4.82 tff(7725,plain,
% 6.64/4.82 (((~![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))))))),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7726,plain,
% 6.64/4.82 (((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48)))))) <=> ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))))),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7727,plain,
% 6.64/4.82 (((~![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)))))))),
% 6.64/4.82 inference(monotonicity,[status(thm)],[7726])).
% 6.64/4.82 tff(7728,plain,
% 6.64/4.82 (((~![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))))))),
% 6.64/4.82 inference(transitivity,[status(thm)],[7727, 7725])).
% 6.64/4.82 tff(7729,plain,
% 6.64/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v102(constB48)) | (~v1(constB48))))))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7730,plain,
% 6.64/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))),
% 6.64/4.82 inference(modus_ponens,[status(thm)],[7729, 7728])).
% 6.64/4.82 tff(7731,plain,
% 6.64/4.82 (v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48))))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7730, 2351, 453])).
% 6.64/4.82 tff(7732,plain,
% 6.64/4.82 (((~![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)))),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7733,plain,
% 6.64/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48)))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7734,plain,
% 6.64/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB47, constB48)) | ((~v102(constB48)) <=> v104(constB48))),
% 6.64/4.82 inference(modus_ponens,[status(thm)],[7733, 7732])).
% 6.64/4.82 tff(7735,plain,
% 6.64/4.82 ((~v102(constB48)) <=> v104(constB48)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7734, 2351, 3966])).
% 6.64/4.82 tff(7736,plain,
% 6.64/4.82 (((~![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)))),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7737,plain,
% 6.64/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47)))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7738,plain,
% 6.64/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v1(constB47))),
% 6.64/4.82 inference(modus_ponens,[status(thm)],[7737, 7736])).
% 6.64/4.82 tff(7739,plain,
% 6.64/4.82 (v104(constB48) <=> v1(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7738, 2351, 3980])).
% 6.64/4.82 tff(7740,plain,
% 6.64/4.82 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48)) | v1(constB47)),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7741,plain,
% 6.64/4.82 ((~(v104(constB48) <=> v1(constB47))) | (~v104(constB48))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7740, 2395])).
% 6.64/4.82 tff(7742,plain,
% 6.64/4.82 (~v104(constB48)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7741, 7739])).
% 6.64/4.82 tff(7743,plain,
% 6.64/4.82 ((~((~v102(constB48)) <=> v104(constB48))) | v102(constB48) | v104(constB48)),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7744,plain,
% 6.64/4.82 (v102(constB48)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7743, 7742, 7735])).
% 6.64/4.82 tff(7745,plain,
% 6.64/4.82 (v1(constB48) <=> v1(constB48)),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7746,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48')).
% 6.64/4.82 tff(7747,plain,
% 6.64/4.82 (v1(constB48)),
% 6.64/4.82 inference(modus_ponens,[status(thm)],[7746, 7745])).
% 6.64/4.82 tff(7748,plain,
% 6.64/4.82 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v1(constB48)) | (~v102(constB48))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7749,plain,
% 6.64/4.82 ((~((~v1(constB48)) | (~v102(constB48)))) | (~v102(constB48))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7748, 7747])).
% 6.64/4.82 tff(7750,plain,
% 6.64/4.82 (~((~v1(constB48)) | (~v102(constB48)))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7749, 7744])).
% 6.64/4.82 tff(7751,plain,
% 6.64/4.82 ((~(v101(constB48) <=> (~((~v1(constB48)) | (~v102(constB48)))))) | v101(constB48) | ((~v1(constB48)) | (~v102(constB48)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7752,plain,
% 6.64/4.82 (v101(constB48)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7751, 7750, 7731])).
% 6.64/4.82 tff(7753,plain,
% 6.64/4.82 (((~![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)))),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7754,plain,
% 6.64/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47)))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7755,plain,
% 6.64/4.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB47, constB48)) | (v110(constB48) <=> v108(constB47))),
% 6.64/4.82 inference(modus_ponens,[status(thm)],[7754, 7753])).
% 6.64/4.82 tff(7756,plain,
% 6.64/4.82 (v110(constB48) <=> v108(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7755, 2351, 4007])).
% 6.64/4.82 tff(7757,plain,
% 6.64/4.82 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB47) <=> (v111(constB47) | v112(constB47)))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7758,plain,
% 6.64/4.82 (v108(constB47) <=> (v111(constB47) | v112(constB47))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7757, 4018])).
% 6.64/4.82 tff(7759,plain,
% 6.64/4.82 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7760,plain,
% 6.64/4.82 (v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47))))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7759, 4030])).
% 6.64/4.82 tff(7761,plain,
% 6.64/4.82 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB47) <=> (v114(constB47) | v125(constB47)))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7762,plain,
% 6.64/4.82 (v113(constB47) <=> (v114(constB47) | v125(constB47))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7761, 4039])).
% 6.64/4.82 tff(7763,plain,
% 6.64/4.82 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB47) <=> (v115(constB47) | v124(constB47)))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7764,plain,
% 6.64/4.82 (v114(constB47) <=> (v115(constB47) | v124(constB47))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7763, 4048])).
% 6.64/4.82 tff(7765,plain,
% 6.64/4.82 ((v115(constB47) | v124(constB47)) | (~v124(constB47))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7766,plain,
% 6.64/4.82 (v115(constB47) | v124(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7765, 7709])).
% 6.64/4.82 tff(7767,plain,
% 6.64/4.82 ((~(v114(constB47) <=> (v115(constB47) | v124(constB47)))) | v114(constB47) | (~(v115(constB47) | v124(constB47)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7768,plain,
% 6.64/4.82 (v114(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7767, 7766, 7764])).
% 6.64/4.82 tff(7769,plain,
% 6.64/4.82 ((v114(constB47) | v125(constB47)) | (~v114(constB47))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7770,plain,
% 6.64/4.82 (v114(constB47) | v125(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7769, 7768])).
% 6.64/4.82 tff(7771,plain,
% 6.64/4.82 ((~(v113(constB47) <=> (v114(constB47) | v125(constB47)))) | v113(constB47) | (~(v114(constB47) | v125(constB47)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7772,plain,
% 6.64/4.82 (v113(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7771, 7770, 7762])).
% 6.64/4.82 tff(7773,plain,
% 6.64/4.82 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB47)) <=> v111(constB47))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7774,plain,
% 6.64/4.82 ((~v126(constB47)) <=> v111(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7773, 4118])).
% 6.64/4.82 tff(7775,plain,
% 6.64/4.82 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47) | v111(constB47)),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7776,plain,
% 6.64/4.82 ((~((~v126(constB47)) <=> v111(constB47))) | v126(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7775, 2364])).
% 6.64/4.82 tff(7777,plain,
% 6.64/4.82 (v126(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7776, 7774])).
% 6.64/4.82 tff(7778,plain,
% 6.64/4.82 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47)) | (~v126(constB47))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7779,plain,
% 6.64/4.82 ((~((~v113(constB47)) | (~v126(constB47)))) | (~v113(constB47))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7778, 7777])).
% 6.64/4.82 tff(7780,plain,
% 6.64/4.82 (~((~v113(constB47)) | (~v126(constB47)))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7779, 7772])).
% 6.64/4.82 tff(7781,plain,
% 6.64/4.82 ((~(v112(constB47) <=> (~((~v113(constB47)) | (~v126(constB47)))))) | v112(constB47) | ((~v113(constB47)) | (~v126(constB47)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7782,plain,
% 6.64/4.82 (v112(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7781, 7780, 7760])).
% 6.64/4.82 tff(7783,plain,
% 6.64/4.82 ((v111(constB47) | v112(constB47)) | (~v112(constB47))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7784,plain,
% 6.64/4.82 (v111(constB47) | v112(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7783, 7782])).
% 6.64/4.82 tff(7785,plain,
% 6.64/4.82 ((~(v108(constB47) <=> (v111(constB47) | v112(constB47)))) | v108(constB47) | (~(v111(constB47) | v112(constB47)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7786,plain,
% 6.64/4.82 (v108(constB47)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7785, 7784, 7758])).
% 6.64/4.82 tff(7787,plain,
% 6.64/4.82 ((~(v110(constB48) <=> v108(constB47))) | v110(constB48) | (~v108(constB47))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7788,plain,
% 6.64/4.82 (v110(constB48)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7787, 7786, 7756])).
% 6.64/4.82 tff(7789,plain,
% 6.64/4.82 ((~((~v101(constB48)) | (~v110(constB48)))) | (~v101(constB48)) | (~v110(constB48))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7790,plain,
% 6.64/4.82 (~((~v101(constB48)) | (~v110(constB48)))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7789, 7788, 7752])).
% 6.64/4.82 tff(7791,plain,
% 6.64/4.82 ((~(v100(constB48) <=> (~((~v101(constB48)) | (~v110(constB48)))))) | v100(constB48) | ((~v101(constB48)) | (~v110(constB48)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7792,plain,
% 6.64/4.82 (v100(constB48)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7791, 7790, 7724])).
% 6.64/4.82 tff(7793,plain,
% 6.64/4.82 (((~![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)))))),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7794,plain,
% 6.64/4.82 ((~![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)))))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7795,plain,
% 6.64/4.82 ((~![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))))),
% 6.64/4.82 inference(modus_ponens,[status(thm)],[7794, 7793])).
% 6.64/4.82 tff(7796,plain,
% 6.64/4.82 ((~v100(constB48)) | (~(((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0))))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7795, 4151])).
% 6.64/4.82 tff(7797,plain,
% 6.64/4.82 (~(((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0)))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7796, 7792])).
% 6.64/4.82 tff(7798,plain,
% 6.64/4.82 ((((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0))) | (~((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7799,plain,
% 6.64/4.82 (~((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7798, 7797])).
% 6.64/4.82 tff(7800,plain,
% 6.64/4.82 (((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | v90(constB48, bitIndex2) | (~v129(constB48, bitIndex2))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7801,plain,
% 6.64/4.82 (v90(constB48, bitIndex2)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7800, 7799, 7720])).
% 6.64/4.82 tff(7802,plain,
% 6.64/4.82 (((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | v90(constB49, bitIndex2) | (~v90(constB48, bitIndex2))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7803,plain,
% 6.64/4.82 (v90(constB49, bitIndex2)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7802, 7801, 2348])).
% 6.64/4.82 tff(7804,plain,
% 6.64/4.82 ((v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex2))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7805,plain,
% 6.64/4.82 (v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7804, 7803])).
% 6.64/4.82 tff(7806,plain,
% 6.64/4.82 ((~(v119(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2))))) | (~v119(constB49)) | (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | v90(constB49, bitIndex2)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7807,plain,
% 6.64/4.82 (~v119(constB49)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7806, 7805, 2312])).
% 6.64/4.82 tff(7808,plain,
% 6.64/4.82 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex0))))))),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7809,plain,
% 6.64/4.82 ((v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2))))) <=> (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex0)))))),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7810,plain,
% 6.64/4.82 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex0))))))),
% 6.64/4.82 inference(monotonicity,[status(thm)],[7809])).
% 6.64/4.82 tff(7811,plain,
% 6.64/4.82 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex0))))))),
% 6.64/4.82 inference(transitivity,[status(thm)],[7810, 7808])).
% 6.64/4.82 tff(7812,plain,
% 6.64/4.82 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex2)))))),
% 6.64/4.82 inference(quant_inst,[status(thm)],[])).
% 6.64/4.82 tff(7813,plain,
% 6.64/4.82 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex0)))))),
% 6.64/4.82 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 6.64/4.82 tff(7814,plain,
% 6.64/4.82 (v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex0))))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7813, 801])).
% 6.64/4.82 tff(7815,plain,
% 6.64/4.82 ((((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))) | (~((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7816,plain,
% 6.64/4.82 (~((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7815, 2346])).
% 6.64/4.82 tff(7817,plain,
% 6.64/4.82 ((((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0))) | (~((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7818,plain,
% 6.64/4.82 (~((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7817, 2355])).
% 6.64/4.82 tff(7819,plain,
% 6.64/4.82 ((((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1))) | (~((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7820,plain,
% 6.64/4.82 (~((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7819, 2369])).
% 6.64/4.82 tff(7821,plain,
% 6.64/4.82 ((v130(constB47, bitIndex0) | (~v130(constB47, bitIndex2)) | (~v130(constB47, bitIndex1))) | v130(constB47, bitIndex1)),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7822,plain,
% 6.64/4.82 (v130(constB47, bitIndex1)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7821, 7714])).
% 6.64/4.82 tff(7823,plain,
% 6.64/4.82 (((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1)) | v127(constB47, bitIndex1) | (~v130(constB47, bitIndex1))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7824,plain,
% 6.64/4.82 (v127(constB47, bitIndex1)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7823, 7822, 7820])).
% 6.64/4.82 tff(7825,plain,
% 6.64/4.82 (((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | v129(constB48, bitIndex1) | (~v127(constB47, bitIndex1))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7826,plain,
% 6.64/4.82 (v129(constB48, bitIndex1)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7825, 7824, 7818])).
% 6.64/4.82 tff(7827,plain,
% 6.64/4.82 ((((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0))) | (~((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7828,plain,
% 6.64/4.82 (~((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7827, 7797])).
% 6.64/4.82 tff(7829,plain,
% 6.64/4.82 (((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7830,plain,
% 6.64/4.82 (v90(constB48, bitIndex1)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7829, 7828, 7826])).
% 6.64/4.82 tff(7831,plain,
% 6.64/4.82 (((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | v90(constB49, bitIndex1) | (~v90(constB48, bitIndex1))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7832,plain,
% 6.64/4.82 (v90(constB49, bitIndex1)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7831, 7830, 7816])).
% 6.64/4.82 tff(7833,plain,
% 6.64/4.82 ((v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex0))) | (~v90(constB49, bitIndex1))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7834,plain,
% 6.64/4.82 (v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex0))),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7833, 7832])).
% 6.64/4.82 tff(7835,plain,
% 6.64/4.82 ((~(v124(constB49) <=> (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex0)))))) | (~v124(constB49)) | (~(v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)) | (~v90(constB49, bitIndex0))))),
% 6.64/4.82 inference(tautology,[status(thm)],[])).
% 6.64/4.82 tff(7836,plain,
% 6.64/4.82 (~v124(constB49)),
% 6.64/4.82 inference(unit_resolution,[status(thm)],[7835, 7834, 7814])).
% 6.64/4.82 tff(7837,plain,
% 6.64/4.82 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex2))))))),
% 6.64/4.82 inference(rewrite,[status(thm)],[])).
% 6.64/4.82 tff(7838,plain,
% 6.64/4.82 ((v123(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2))))) <=> (v123(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex2)))))),
% 6.64/4.83 inference(rewrite,[status(thm)],[])).
% 6.64/4.83 tff(7839,plain,
% 6.64/4.83 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex2))))))),
% 6.64/4.83 inference(monotonicity,[status(thm)],[7838])).
% 6.64/4.83 tff(7840,plain,
% 6.64/4.83 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex2))))))),
% 6.64/4.83 inference(transitivity,[status(thm)],[7839, 7837])).
% 6.64/4.83 tff(7841,plain,
% 6.64/4.83 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex1) | (~v90(constB49, bitIndex2)))))),
% 6.64/4.83 inference(quant_inst,[status(thm)],[])).
% 6.64/4.83 tff(7842,plain,
% 6.64/4.83 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex2)))))),
% 6.64/4.83 inference(modus_ponens,[status(thm)],[7841, 7840])).
% 6.64/4.83 tff(7843,plain,
% 6.64/4.83 (v123(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex2))))),
% 6.64/4.83 inference(unit_resolution,[status(thm)],[7842, 880])).
% 6.64/4.83 tff(7844,plain,
% 6.64/4.83 ((v90(constB49, bitIndex1) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex2))) | (~v90(constB49, bitIndex1))),
% 6.64/4.83 inference(tautology,[status(thm)],[])).
% 6.64/4.83 tff(7845,plain,
% 6.64/4.83 (v90(constB49, bitIndex1) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex2))),
% 6.64/4.83 inference(unit_resolution,[status(thm)],[7844, 7832])).
% 6.64/4.83 tff(7846,plain,
% 6.64/4.83 ((~(v123(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex2)))))) | (~v123(constB49)) | (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex2))))),
% 6.64/4.83 inference(tautology,[status(thm)],[])).
% 6.64/4.83 tff(7847,plain,
% 6.64/4.83 (~v123(constB49)),
% 6.64/4.83 inference(unit_resolution,[status(thm)],[7846, 7845, 7843])).
% 6.64/4.83 tff(7848,plain,
% 6.64/4.83 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))))),
% 6.64/4.83 inference(rewrite,[status(thm)],[])).
% 6.64/4.83 tff(7849,plain,
% 6.64/4.83 ((v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1))))) <=> (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0)))))),
% 6.64/4.83 inference(rewrite,[status(thm)],[])).
% 6.64/4.83 tff(7850,plain,
% 6.64/4.83 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))))),
% 6.64/4.83 inference(monotonicity,[status(thm)],[7849])).
% 6.64/4.83 tff(7851,plain,
% 6.64/4.83 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))))),
% 6.64/4.83 inference(transitivity,[status(thm)],[7850, 7848])).
% 6.64/4.83 tff(7852,plain,
% 6.64/4.83 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)) | (~v90(constB49, bitIndex1)))))),
% 6.64/4.83 inference(quant_inst,[status(thm)],[])).
% 6.64/4.83 tff(7853,plain,
% 6.64/4.83 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0)))))),
% 6.64/4.83 inference(modus_ponens,[status(thm)],[7852, 7851])).
% 6.64/4.83 tff(7854,plain,
% 6.64/4.83 (v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))),
% 6.64/4.83 inference(unit_resolution,[status(thm)],[7853, 959])).
% 6.64/4.83 tff(7855,plain,
% 6.64/4.83 ((v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))) | (~v90(constB49, bitIndex2))),
% 6.64/4.83 inference(tautology,[status(thm)],[])).
% 6.64/4.83 tff(7856,plain,
% 6.64/4.83 (v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))),
% 6.64/4.83 inference(unit_resolution,[status(thm)],[7855, 7803])).
% 6.64/4.83 tff(7857,plain,
% 6.64/4.83 ((~(v122(constB49) <=> (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0)))))) | (~v122(constB49)) | (~(v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex0))))),
% 6.64/4.83 inference(tautology,[status(thm)],[])).
% 6.64/4.83 tff(7858,plain,
% 6.64/4.83 (~v122(constB49)),
% 6.64/4.83 inference(unit_resolution,[status(thm)],[7857, 7856, 7854])).
% 6.64/4.83 tff(7859,plain,
% 6.64/4.83 (((~![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))))))),
% 6.64/4.83 inference(rewrite,[status(thm)],[])).
% 6.64/4.83 tff(7860,plain,
% 6.64/4.83 ((v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1))))) <=> (v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)))))),
% 6.64/4.83 inference(rewrite,[status(thm)],[])).
% 6.64/4.83 tff(7861,plain,
% 6.64/4.83 (((~![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))))))),
% 6.64/4.83 inference(monotonicity,[status(thm)],[7860])).
% 6.64/4.83 tff(7862,plain,
% 6.64/4.83 (((~![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))))))),
% 6.72/4.83 inference(transitivity,[status(thm)],[7861, 7859])).
% 6.72/4.83 tff(7863,plain,
% 6.72/4.83 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex0) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex1)))))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7864,plain,
% 6.72/4.83 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)))))),
% 6.72/4.83 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 6.72/4.83 tff(7865,plain,
% 6.72/4.83 (v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1))))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7864, 574])).
% 6.72/4.83 tff(7866,plain,
% 6.72/4.83 ((v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1))) | (~v90(constB49, bitIndex2))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7867,plain,
% 6.72/4.83 (v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7866, 7803])).
% 6.72/4.83 tff(7868,plain,
% 6.72/4.83 ((~(v121(constB49) <=> (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)))))) | (~v121(constB49)) | (~(v90(constB49, bitIndex2) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1))))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7869,plain,
% 6.72/4.83 (~v121(constB49)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7868, 7867, 7865])).
% 6.72/4.83 tff(7870,plain,
% 6.72/4.83 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)))))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7871,plain,
% 6.72/4.83 (v120(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0))))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7870, 653])).
% 6.72/4.83 tff(7872,plain,
% 6.72/4.83 ((v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0))) | (~v90(constB49, bitIndex2))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7873,plain,
% 6.72/4.83 (v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7872, 7803])).
% 6.72/4.83 tff(7874,plain,
% 6.72/4.83 ((~(v120(constB49) <=> (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0)))))) | (~v120(constB49)) | (~(v90(constB49, bitIndex1) | v90(constB49, bitIndex2) | (~v90(constB49, bitIndex0))))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7875,plain,
% 6.72/4.83 (~v120(constB49)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7874, 7873, 7871])).
% 6.72/4.83 tff(7876,plain,
% 6.72/4.83 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, 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(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0)))))),
% 6.72/4.83 inference(rewrite,[status(thm)],[])).
% 6.72/4.83 tff(7877,plain,
% 6.72/4.83 ((v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0))))) <=> (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0)))))),
% 6.72/4.83 inference(rewrite,[status(thm)],[])).
% 6.72/4.83 tff(7878,plain,
% 6.72/4.83 ((~(v130(constB49, bitIndex1) | v130(constB49, bitIndex2) | (~v130(constB49, bitIndex0)))) <=> (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0))))),
% 6.72/4.83 inference(rewrite,[status(thm)],[])).
% 6.72/4.83 tff(7879,plain,
% 6.72/4.83 ((v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~(v130(constB49, bitIndex1) | v130(constB49, bitIndex2) | (~v130(constB49, bitIndex0))))) <=> (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0)))))),
% 6.72/4.83 inference(monotonicity,[status(thm)],[7878])).
% 6.72/4.83 tff(7880,plain,
% 6.72/4.83 ((v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~(v130(constB49, bitIndex1) | v130(constB49, bitIndex2) | (~v130(constB49, bitIndex0))))) <=> (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0)))))),
% 6.72/4.83 inference(transitivity,[status(thm)],[7879, 7877])).
% 6.72/4.83 tff(7881,plain,
% 6.72/4.83 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~(v130(constB49, bitIndex1) | v130(constB49, bitIndex2) | (~v130(constB49, 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(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0))))))),
% 6.72/4.83 inference(monotonicity,[status(thm)],[7880])).
% 6.72/4.83 tff(7882,plain,
% 6.72/4.83 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~(v130(constB49, bitIndex1) | v130(constB49, bitIndex2) | (~v130(constB49, 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(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0)))))),
% 6.72/4.83 inference(transitivity,[status(thm)],[7881, 7876])).
% 6.72/4.83 tff(7883,plain,
% 6.72/4.83 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB49) | v123(constB49) | v122(constB49) | v121(constB49) | v120(constB49) | v119(constB49) | (~(v130(constB49, bitIndex1) | v130(constB49, bitIndex2) | (~v130(constB49, bitIndex0)))))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7884,plain,
% 6.72/4.83 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0))))),
% 6.72/4.83 inference(modus_ponens,[status(thm)],[7883, 7882])).
% 6.72/4.83 tff(7885,plain,
% 6.72/4.83 (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0))))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7884, 5057])).
% 6.72/4.83 tff(7886,plain,
% 6.72/4.83 (~(v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0)))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7885, 7875, 7869, 7858, 7847, 7836, 7807])).
% 6.72/4.83 tff(7887,plain,
% 6.72/4.83 ((v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0))) | (~v130(constB49, bitIndex2))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7888,plain,
% 6.72/4.83 (~v130(constB49, bitIndex2)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7887, 7886])).
% 6.72/4.83 tff(7889,plain,
% 6.72/4.83 (((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | (~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7890,plain,
% 6.72/4.83 (~v127(constB49, bitIndex2)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7889, 7888, 2310])).
% 6.72/4.83 tff(7891,plain,
% 6.72/4.83 (((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | (~v129(constB50, bitIndex2)) | v127(constB49, bitIndex2)),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7892,plain,
% 6.72/4.83 (~v129(constB50, bitIndex2)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7891, 7890, 2296])).
% 6.72/4.83 tff(7893,plain,
% 6.72/4.83 (((~![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))))))),
% 6.72/4.83 inference(rewrite,[status(thm)],[])).
% 6.72/4.83 tff(7894,plain,
% 6.72/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7895,plain,
% 6.72/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB49, constB50)) | (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))),
% 6.72/4.83 inference(modus_ponens,[status(thm)],[7894, 7893])).
% 6.72/4.83 tff(7896,plain,
% 6.72/4.83 (v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50))))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7895, 2290, 433])).
% 6.72/4.83 tff(7897,plain,
% 6.72/4.83 (((~![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))))))),
% 6.72/4.83 inference(rewrite,[status(thm)],[])).
% 6.72/4.83 tff(7898,plain,
% 6.72/4.83 (((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50)))))) <=> ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))))),
% 6.72/4.83 inference(rewrite,[status(thm)],[])).
% 6.72/4.83 tff(7899,plain,
% 6.72/4.83 (((~![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)))))))),
% 6.72/4.83 inference(monotonicity,[status(thm)],[7898])).
% 6.72/4.83 tff(7900,plain,
% 6.72/4.83 (((~![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))))))),
% 6.72/4.83 inference(transitivity,[status(thm)],[7899, 7897])).
% 6.72/4.83 tff(7901,plain,
% 6.72/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v102(constB50)) | (~v1(constB50))))))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7902,plain,
% 6.72/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))),
% 6.72/4.83 inference(modus_ponens,[status(thm)],[7901, 7900])).
% 6.72/4.83 tff(7903,plain,
% 6.72/4.83 (v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50))))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7902, 2290, 453])).
% 6.72/4.83 tff(7904,plain,
% 6.72/4.83 (((~![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)))),
% 6.72/4.83 inference(rewrite,[status(thm)],[])).
% 6.72/4.83 tff(7905,plain,
% 6.72/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50)))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7906,plain,
% 6.72/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB49, constB50)) | ((~v102(constB50)) <=> v104(constB50))),
% 6.72/4.83 inference(modus_ponens,[status(thm)],[7905, 7904])).
% 6.72/4.83 tff(7907,plain,
% 6.72/4.83 ((~v102(constB50)) <=> v104(constB50)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7906, 2290, 3966])).
% 6.72/4.83 tff(7908,plain,
% 6.72/4.83 (((~![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)))),
% 6.72/4.83 inference(rewrite,[status(thm)],[])).
% 6.72/4.83 tff(7909,plain,
% 6.72/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49)))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7910,plain,
% 6.72/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v1(constB49))),
% 6.72/4.83 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 6.72/4.83 tff(7911,plain,
% 6.72/4.83 (v104(constB50) <=> v1(constB49)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7910, 2290, 3980])).
% 6.72/4.83 tff(7912,plain,
% 6.72/4.83 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50)) | v1(constB49)),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7913,plain,
% 6.72/4.83 ((~(v104(constB50) <=> v1(constB49))) | (~v104(constB50))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7912, 2329])).
% 6.72/4.83 tff(7914,plain,
% 6.72/4.83 (~v104(constB50)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7913, 7911])).
% 6.72/4.83 tff(7915,plain,
% 6.72/4.83 ((~((~v102(constB50)) <=> v104(constB50))) | v102(constB50) | v104(constB50)),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7916,plain,
% 6.72/4.83 (v102(constB50)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7915, 7914, 7907])).
% 6.72/4.83 tff(7917,plain,
% 6.72/4.83 (v1(constB50) <=> v1(constB50)),
% 6.72/4.83 inference(rewrite,[status(thm)],[])).
% 6.72/4.83 tff(7918,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50')).
% 6.72/4.83 tff(7919,plain,
% 6.72/4.83 (v1(constB50)),
% 6.72/4.83 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 6.72/4.83 tff(7920,plain,
% 6.72/4.83 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v1(constB50)) | (~v102(constB50))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7921,plain,
% 6.72/4.83 ((~((~v1(constB50)) | (~v102(constB50)))) | (~v102(constB50))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7920, 7919])).
% 6.72/4.83 tff(7922,plain,
% 6.72/4.83 (~((~v1(constB50)) | (~v102(constB50)))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7921, 7916])).
% 6.72/4.83 tff(7923,plain,
% 6.72/4.83 ((~(v101(constB50) <=> (~((~v1(constB50)) | (~v102(constB50)))))) | v101(constB50) | ((~v1(constB50)) | (~v102(constB50)))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7924,plain,
% 6.72/4.83 (v101(constB50)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7923, 7922, 7903])).
% 6.72/4.83 tff(7925,plain,
% 6.72/4.83 (((~![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)))),
% 6.72/4.83 inference(rewrite,[status(thm)],[])).
% 6.72/4.83 tff(7926,plain,
% 6.72/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49)))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7927,plain,
% 6.72/4.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB49, constB50)) | (v110(constB50) <=> v108(constB49))),
% 6.72/4.83 inference(modus_ponens,[status(thm)],[7926, 7925])).
% 6.72/4.83 tff(7928,plain,
% 6.72/4.83 (v110(constB50) <=> v108(constB49)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7927, 2290, 4007])).
% 6.72/4.83 tff(7929,plain,
% 6.72/4.83 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB49) <=> (v111(constB49) | v112(constB49)))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7930,plain,
% 6.72/4.83 (v108(constB49) <=> (v111(constB49) | v112(constB49))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7929, 4018])).
% 6.72/4.83 tff(7931,plain,
% 6.72/4.83 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7932,plain,
% 6.72/4.83 (v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49))))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7931, 4030])).
% 6.72/4.83 tff(7933,plain,
% 6.72/4.83 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB49) <=> (v114(constB49) | v125(constB49)))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7934,plain,
% 6.72/4.83 (v113(constB49) <=> (v114(constB49) | v125(constB49))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7933, 4039])).
% 6.72/4.83 tff(7935,plain,
% 6.72/4.83 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB49) <=> (~(v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)))))),
% 6.72/4.83 inference(quant_inst,[status(thm)],[])).
% 6.72/4.83 tff(7936,plain,
% 6.72/4.83 (v125(constB49) <=> (~(v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2))))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7935, 5129])).
% 6.72/4.83 tff(7937,plain,
% 6.72/4.83 ((((~v90(constB49, bitIndex1)) <=> v90(constB48, bitIndex1)) | ((~v90(constB49, bitIndex2)) <=> v90(constB48, bitIndex2)) | ((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))) | (~((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7938,plain,
% 6.72/4.83 (~((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7937, 2346])).
% 6.72/4.83 tff(7939,plain,
% 6.72/4.83 ((((~v129(constB48, bitIndex2)) <=> v127(constB47, bitIndex2)) | ((~v129(constB48, bitIndex1)) <=> v127(constB47, bitIndex1)) | ((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0))) | (~((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0)))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7940,plain,
% 6.72/4.83 (~((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7939, 2355])).
% 6.72/4.83 tff(7941,plain,
% 6.72/4.83 ((((~v127(constB47, bitIndex2)) <=> v130(constB47, bitIndex2)) | ((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)) | ((~v127(constB47, bitIndex1)) <=> v130(constB47, bitIndex1))) | (~((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7942,plain,
% 6.72/4.83 (~((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7941, 2369])).
% 6.72/4.83 tff(7943,plain,
% 6.72/4.83 ((v130(constB47, bitIndex0) | (~v130(constB47, bitIndex2)) | (~v130(constB47, bitIndex1))) | (~v130(constB47, bitIndex0))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7944,plain,
% 6.72/4.83 (~v130(constB47, bitIndex0)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7943, 7714])).
% 6.72/4.83 tff(7945,plain,
% 6.72/4.83 (((~v127(constB47, bitIndex0)) <=> v130(constB47, bitIndex0)) | (~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7946,plain,
% 6.72/4.83 (~v127(constB47, bitIndex0)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7945, 7944, 7942])).
% 6.72/4.83 tff(7947,plain,
% 6.72/4.83 (((~v129(constB48, bitIndex0)) <=> v127(constB47, bitIndex0)) | (~v129(constB48, bitIndex0)) | v127(constB47, bitIndex0)),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7948,plain,
% 6.72/4.83 (~v129(constB48, bitIndex0)),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7947, 7946, 7940])).
% 6.72/4.83 tff(7949,plain,
% 6.72/4.83 ((((~v90(constB48, bitIndex2)) <=> v129(constB48, bitIndex2)) | ((~v90(constB48, bitIndex1)) <=> v129(constB48, bitIndex1)) | ((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0))) | (~((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0)))),
% 6.72/4.83 inference(tautology,[status(thm)],[])).
% 6.72/4.83 tff(7950,plain,
% 6.72/4.83 (~((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0))),
% 6.72/4.83 inference(unit_resolution,[status(thm)],[7949, 7797])).
% 6.72/4.83 tff(7951,plain,
% 6.72/4.83 (((~v90(constB48, bitIndex0)) <=> v129(constB48, bitIndex0)) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7952,plain,
% 6.72/4.84 (~v90(constB48, bitIndex0)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7951, 7950, 7948])).
% 6.72/4.84 tff(7953,plain,
% 6.72/4.84 (((~v90(constB49, bitIndex0)) <=> v90(constB48, bitIndex0)) | (~v90(constB49, bitIndex0)) | v90(constB48, bitIndex0)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7954,plain,
% 6.72/4.84 (~v90(constB49, bitIndex0)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7953, 7952, 7938])).
% 6.72/4.84 tff(7955,plain,
% 6.72/4.84 ((~(v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7956,plain,
% 6.72/4.84 (~(v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7955, 7832, 7954, 7803])).
% 6.72/4.84 tff(7957,plain,
% 6.72/4.84 ((~(v125(constB49) <=> (~(v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)))))) | v125(constB49) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | (~v90(constB49, bitIndex2)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7958,plain,
% 6.72/4.84 (v125(constB49)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7957, 7956, 7936])).
% 6.72/4.84 tff(7959,plain,
% 6.72/4.84 ((v114(constB49) | v125(constB49)) | (~v125(constB49))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7960,plain,
% 6.72/4.84 (v114(constB49) | v125(constB49)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7959, 7958])).
% 6.72/4.84 tff(7961,plain,
% 6.72/4.84 ((~(v113(constB49) <=> (v114(constB49) | v125(constB49)))) | v113(constB49) | (~(v114(constB49) | v125(constB49)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7962,plain,
% 6.72/4.84 (v113(constB49)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7961, 7960, 7934])).
% 6.72/4.84 tff(7963,plain,
% 6.72/4.84 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB49)) <=> v111(constB49))),
% 6.72/4.84 inference(quant_inst,[status(thm)],[])).
% 6.72/4.84 tff(7964,plain,
% 6.72/4.84 ((~v126(constB49)) <=> v111(constB49)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7963, 4118])).
% 6.72/4.84 tff(7965,plain,
% 6.72/4.84 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49) | v111(constB49)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7966,plain,
% 6.72/4.84 ((~((~v126(constB49)) <=> v111(constB49))) | v126(constB49)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7965, 2303])).
% 6.72/4.84 tff(7967,plain,
% 6.72/4.84 (v126(constB49)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7966, 7964])).
% 6.72/4.84 tff(7968,plain,
% 6.72/4.84 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49)) | (~v126(constB49))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7969,plain,
% 6.72/4.84 ((~((~v113(constB49)) | (~v126(constB49)))) | (~v113(constB49))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7968, 7967])).
% 6.72/4.84 tff(7970,plain,
% 6.72/4.84 (~((~v113(constB49)) | (~v126(constB49)))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7969, 7962])).
% 6.72/4.84 tff(7971,plain,
% 6.72/4.84 ((~(v112(constB49) <=> (~((~v113(constB49)) | (~v126(constB49)))))) | v112(constB49) | ((~v113(constB49)) | (~v126(constB49)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7972,plain,
% 6.72/4.84 (v112(constB49)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7971, 7970, 7932])).
% 6.72/4.84 tff(7973,plain,
% 6.72/4.84 ((v111(constB49) | v112(constB49)) | (~v112(constB49))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7974,plain,
% 6.72/4.84 (v111(constB49) | v112(constB49)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7973, 7972])).
% 6.72/4.84 tff(7975,plain,
% 6.72/4.84 ((~(v108(constB49) <=> (v111(constB49) | v112(constB49)))) | v108(constB49) | (~(v111(constB49) | v112(constB49)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7976,plain,
% 6.72/4.84 (v108(constB49)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7975, 7974, 7930])).
% 6.72/4.84 tff(7977,plain,
% 6.72/4.84 ((~(v110(constB50) <=> v108(constB49))) | v110(constB50) | (~v108(constB49))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7978,plain,
% 6.72/4.84 (v110(constB50)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7977, 7976, 7928])).
% 6.72/4.84 tff(7979,plain,
% 6.72/4.84 ((~((~v101(constB50)) | (~v110(constB50)))) | (~v101(constB50)) | (~v110(constB50))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7980,plain,
% 6.72/4.84 (~((~v101(constB50)) | (~v110(constB50)))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7979, 7978, 7924])).
% 6.72/4.84 tff(7981,plain,
% 6.72/4.84 ((~(v100(constB50) <=> (~((~v101(constB50)) | (~v110(constB50)))))) | v100(constB50) | ((~v101(constB50)) | (~v110(constB50)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7982,plain,
% 6.72/4.84 (v100(constB50)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7981, 7980, 7896])).
% 6.72/4.84 tff(7983,plain,
% 6.72/4.84 (((~![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)))))),
% 6.72/4.84 inference(rewrite,[status(thm)],[])).
% 6.72/4.84 tff(7984,plain,
% 6.72/4.84 (((~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)))))),
% 6.72/4.84 inference(rewrite,[status(thm)],[])).
% 6.72/4.84 tff(7985,plain,
% 6.72/4.84 (((~![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))))))),
% 6.72/4.84 inference(monotonicity,[status(thm)],[7984])).
% 6.72/4.84 tff(7986,plain,
% 6.72/4.84 (((~![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)))))),
% 6.72/4.84 inference(transitivity,[status(thm)],[7985, 7983])).
% 6.72/4.84 tff(7987,plain,
% 6.72/4.84 ((~![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)))))),
% 6.72/4.84 inference(quant_inst,[status(thm)],[])).
% 6.72/4.84 tff(7988,plain,
% 6.72/4.84 ((~![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))))),
% 6.72/4.84 inference(modus_ponens,[status(thm)],[7987, 7986])).
% 6.72/4.84 tff(7989,plain,
% 6.72/4.84 ((~v100(constB50)) | (~(((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7988, 4151])).
% 6.72/4.84 tff(7990,plain,
% 6.72/4.84 (~(((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7989, 7982])).
% 6.72/4.84 tff(7991,plain,
% 6.72/4.84 ((((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))) | (~((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7992,plain,
% 6.72/4.84 (~((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7991, 7990])).
% 6.72/4.84 tff(7993,plain,
% 6.72/4.84 (((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7994,plain,
% 6.72/4.84 (~v90(constB50, bitIndex2)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7993, 7992, 7892])).
% 6.72/4.84 tff(7995,plain,
% 6.72/4.84 (((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | (~v90(constB51, bitIndex2)) | v90(constB50, bitIndex2)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7996,plain,
% 6.72/4.84 (~v90(constB51, bitIndex2)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7995, 7994, 2287])).
% 6.72/4.84 tff(7997,plain,
% 6.72/4.84 ((((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))) | (~((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(7998,plain,
% 6.72/4.84 (~((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7997, 2285])).
% 6.72/4.84 tff(7999,plain,
% 6.72/4.84 ((((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0))) | (~((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8000,plain,
% 6.72/4.84 (~((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[7999, 2294])).
% 6.72/4.84 tff(8001,plain,
% 6.72/4.84 ((((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1))) | (~((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8002,plain,
% 6.72/4.84 (~((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8001, 2308])).
% 6.72/4.84 tff(8003,plain,
% 6.72/4.84 ((v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0))) | v130(constB49, bitIndex0)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8004,plain,
% 6.72/4.84 (v130(constB49, bitIndex0)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8003, 7886])).
% 6.72/4.84 tff(8005,plain,
% 6.72/4.84 (((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)) | v127(constB49, bitIndex0) | (~v130(constB49, bitIndex0))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8006,plain,
% 6.72/4.84 (v127(constB49, bitIndex0)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8005, 8004, 8002])).
% 6.72/4.84 tff(8007,plain,
% 6.72/4.84 (((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0)) | v129(constB50, bitIndex0) | (~v127(constB49, bitIndex0))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8008,plain,
% 6.72/4.84 (v129(constB50, bitIndex0)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8007, 8006, 8000])).
% 6.72/4.84 tff(8009,plain,
% 6.72/4.84 ((((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))) | (~((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8010,plain,
% 6.72/4.84 (~((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8009, 7990])).
% 6.72/4.84 tff(8011,plain,
% 6.72/4.84 (((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8012,plain,
% 6.72/4.84 (v90(constB50, bitIndex0)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8011, 8010, 8008])).
% 6.72/4.84 tff(8013,plain,
% 6.72/4.84 (((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0)) | v90(constB51, bitIndex0) | (~v90(constB50, bitIndex0))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8014,plain,
% 6.72/4.84 (v90(constB51, bitIndex0)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8013, 8012, 7998])).
% 6.72/4.84 tff(8015,plain,
% 6.72/4.84 ((((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | ((~v90(constB51, bitIndex2)) <=> v90(constB50, bitIndex2)) | ((~v90(constB51, bitIndex0)) <=> v90(constB50, bitIndex0))) | (~((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8016,plain,
% 6.72/4.84 (~((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8015, 2285])).
% 6.72/4.84 tff(8017,plain,
% 6.72/4.84 ((((~v129(constB50, bitIndex2)) <=> v127(constB49, bitIndex2)) | ((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | ((~v129(constB50, bitIndex0)) <=> v127(constB49, bitIndex0))) | (~((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8018,plain,
% 6.72/4.84 (~((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8017, 2294])).
% 6.72/4.84 tff(8019,plain,
% 6.72/4.84 ((((~v127(constB49, bitIndex2)) <=> v130(constB49, bitIndex2)) | ((~v127(constB49, bitIndex0)) <=> v130(constB49, bitIndex0)) | ((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1))) | (~((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8020,plain,
% 6.72/4.84 (~((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8019, 2308])).
% 6.72/4.84 tff(8021,plain,
% 6.72/4.84 ((v130(constB49, bitIndex2) | v130(constB49, bitIndex1) | (~v130(constB49, bitIndex0))) | (~v130(constB49, bitIndex1))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8022,plain,
% 6.72/4.84 (~v130(constB49, bitIndex1)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8021, 7886])).
% 6.72/4.84 tff(8023,plain,
% 6.72/4.84 (((~v127(constB49, bitIndex1)) <=> v130(constB49, bitIndex1)) | (~v127(constB49, bitIndex1)) | v130(constB49, bitIndex1)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8024,plain,
% 6.72/4.84 (~v127(constB49, bitIndex1)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8023, 8022, 8020])).
% 6.72/4.84 tff(8025,plain,
% 6.72/4.84 (((~v129(constB50, bitIndex1)) <=> v127(constB49, bitIndex1)) | (~v129(constB50, bitIndex1)) | v127(constB49, bitIndex1)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8026,plain,
% 6.72/4.84 (~v129(constB50, bitIndex1)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8025, 8024, 8018])).
% 6.72/4.84 tff(8027,plain,
% 6.72/4.84 ((((~v90(constB50, bitIndex0)) <=> v129(constB50, bitIndex0)) | ((~v90(constB50, bitIndex2)) <=> v129(constB50, bitIndex2)) | ((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))) | (~((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8028,plain,
% 6.72/4.84 (~((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8027, 7990])).
% 6.72/4.84 tff(8029,plain,
% 6.72/4.84 (((~v90(constB50, bitIndex1)) <=> v129(constB50, bitIndex1)) | (~v90(constB50, bitIndex1)) | v129(constB50, bitIndex1)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8030,plain,
% 6.72/4.84 (~v90(constB50, bitIndex1)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8029, 8028, 8026])).
% 6.72/4.84 tff(8031,plain,
% 6.72/4.84 (((~v90(constB51, bitIndex1)) <=> v90(constB50, bitIndex1)) | (~v90(constB51, bitIndex1)) | v90(constB50, bitIndex1)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8032,plain,
% 6.72/4.84 (~v90(constB51, bitIndex1)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8031, 8030, 8016])).
% 6.72/4.84 tff(8033,plain,
% 6.72/4.84 ((~(v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)))) | v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8034,plain,
% 6.72/4.84 (~(v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8033, 8032, 8014, 7996])).
% 6.72/4.84 tff(8035,plain,
% 6.72/4.84 ((~(v120(constB51) <=> (~(v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)))))) | v120(constB51) | (v90(constB51, bitIndex1) | v90(constB51, bitIndex2) | (~v90(constB51, bitIndex0)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8036,plain,
% 6.72/4.84 (v120(constB51)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8035, 8034, 2251])).
% 6.72/4.84 tff(8037,plain,
% 6.72/4.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB51)) | (~(v130(constB51, bitIndex2) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB51)) | (~(v130(constB51, bitIndex2) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex1)))))),
% 6.72/4.84 inference(rewrite,[status(thm)],[])).
% 6.72/4.84 tff(8038,plain,
% 6.72/4.84 (((~v120(constB51)) | (~(v130(constB51, bitIndex0) | v130(constB51, bitIndex2) | (~v130(constB51, bitIndex1))))) <=> ((~v120(constB51)) | (~(v130(constB51, bitIndex2) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex1)))))),
% 6.72/4.84 inference(rewrite,[status(thm)],[])).
% 6.72/4.84 tff(8039,plain,
% 6.72/4.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB51)) | (~(v130(constB51, bitIndex0) | v130(constB51, bitIndex2) | (~v130(constB51, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB51)) | (~(v130(constB51, bitIndex2) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex1))))))),
% 6.72/4.84 inference(monotonicity,[status(thm)],[8038])).
% 6.72/4.84 tff(8040,plain,
% 6.72/4.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB51)) | (~(v130(constB51, bitIndex0) | v130(constB51, bitIndex2) | (~v130(constB51, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB51)) | (~(v130(constB51, bitIndex2) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex1)))))),
% 6.72/4.84 inference(transitivity,[status(thm)],[8039, 8037])).
% 6.72/4.84 tff(8041,plain,
% 6.72/4.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB51)) | (~(v130(constB51, bitIndex0) | v130(constB51, bitIndex2) | (~v130(constB51, bitIndex1)))))),
% 6.72/4.84 inference(quant_inst,[status(thm)],[])).
% 6.72/4.84 tff(8042,plain,
% 6.72/4.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB51)) | (~(v130(constB51, bitIndex2) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex1))))),
% 6.72/4.84 inference(modus_ponens,[status(thm)],[8041, 8040])).
% 6.72/4.84 tff(8043,plain,
% 6.72/4.84 ((~v120(constB51)) | (~(v130(constB51, bitIndex2) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex1))))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8042, 4218])).
% 6.72/4.84 tff(8044,plain,
% 6.72/4.84 (~(v130(constB51, bitIndex2) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex1)))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8043, 8036])).
% 6.72/4.84 tff(8045,plain,
% 6.72/4.84 ((v130(constB51, bitIndex2) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex1))) | (~v130(constB51, bitIndex2))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8046,plain,
% 6.72/4.84 (~v130(constB51, bitIndex2)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8045, 8044])).
% 6.72/4.84 tff(8047,plain,
% 6.72/4.84 (((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | (~v127(constB51, bitIndex2)) | v130(constB51, bitIndex2)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8048,plain,
% 6.72/4.84 (~v127(constB51, bitIndex2)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8047, 8046, 2249])).
% 6.72/4.84 tff(8049,plain,
% 6.72/4.84 (((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | (~v129(constB52, bitIndex2)) | v127(constB51, bitIndex2)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8050,plain,
% 6.72/4.84 (~v129(constB52, bitIndex2)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8049, 8048, 2235])).
% 6.72/4.84 tff(8051,plain,
% 6.72/4.84 (((~![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))))))),
% 6.72/4.84 inference(rewrite,[status(thm)],[])).
% 6.72/4.84 tff(8052,plain,
% 6.72/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))))),
% 6.72/4.84 inference(quant_inst,[status(thm)],[])).
% 6.72/4.84 tff(8053,plain,
% 6.72/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB51, constB52)) | (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))),
% 6.72/4.84 inference(modus_ponens,[status(thm)],[8052, 8051])).
% 6.72/4.84 tff(8054,plain,
% 6.72/4.84 (v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52))))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8053, 2229, 433])).
% 6.72/4.84 tff(8055,plain,
% 6.72/4.84 (((~![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))))))),
% 6.72/4.84 inference(rewrite,[status(thm)],[])).
% 6.72/4.84 tff(8056,plain,
% 6.72/4.84 (((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52)))))) <=> ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))))),
% 6.72/4.84 inference(rewrite,[status(thm)],[])).
% 6.72/4.84 tff(8057,plain,
% 6.72/4.84 (((~![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)))))))),
% 6.72/4.84 inference(monotonicity,[status(thm)],[8056])).
% 6.72/4.84 tff(8058,plain,
% 6.72/4.84 (((~![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))))))),
% 6.72/4.84 inference(transitivity,[status(thm)],[8057, 8055])).
% 6.72/4.84 tff(8059,plain,
% 6.72/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v102(constB52)) | (~v1(constB52))))))),
% 6.72/4.84 inference(quant_inst,[status(thm)],[])).
% 6.72/4.84 tff(8060,plain,
% 6.72/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))),
% 6.72/4.84 inference(modus_ponens,[status(thm)],[8059, 8058])).
% 6.72/4.84 tff(8061,plain,
% 6.72/4.84 (v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52))))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8060, 2229, 453])).
% 6.72/4.84 tff(8062,plain,
% 6.72/4.84 (((~![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)))),
% 6.72/4.84 inference(rewrite,[status(thm)],[])).
% 6.72/4.84 tff(8063,plain,
% 6.72/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52)))),
% 6.72/4.84 inference(quant_inst,[status(thm)],[])).
% 6.72/4.84 tff(8064,plain,
% 6.72/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB51, constB52)) | ((~v102(constB52)) <=> v104(constB52))),
% 6.72/4.84 inference(modus_ponens,[status(thm)],[8063, 8062])).
% 6.72/4.84 tff(8065,plain,
% 6.72/4.84 ((~v102(constB52)) <=> v104(constB52)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8064, 2229, 3966])).
% 6.72/4.84 tff(8066,plain,
% 6.72/4.84 (((~![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)))),
% 6.72/4.84 inference(rewrite,[status(thm)],[])).
% 6.72/4.84 tff(8067,plain,
% 6.72/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51)))),
% 6.72/4.84 inference(quant_inst,[status(thm)],[])).
% 6.72/4.84 tff(8068,plain,
% 6.72/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v1(constB51))),
% 6.72/4.84 inference(modus_ponens,[status(thm)],[8067, 8066])).
% 6.72/4.84 tff(8069,plain,
% 6.72/4.84 (v104(constB52) <=> v1(constB51)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8068, 2229, 3980])).
% 6.72/4.84 tff(8070,plain,
% 6.72/4.84 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52)) | v1(constB51)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8071,plain,
% 6.72/4.84 ((~(v104(constB52) <=> v1(constB51))) | (~v104(constB52))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8070, 2268])).
% 6.72/4.84 tff(8072,plain,
% 6.72/4.84 (~v104(constB52)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8071, 8069])).
% 6.72/4.84 tff(8073,plain,
% 6.72/4.84 ((~((~v102(constB52)) <=> v104(constB52))) | v102(constB52) | v104(constB52)),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8074,plain,
% 6.72/4.84 (v102(constB52)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8073, 8072, 8065])).
% 6.72/4.84 tff(8075,plain,
% 6.72/4.84 (v1(constB52) <=> v1(constB52)),
% 6.72/4.84 inference(rewrite,[status(thm)],[])).
% 6.72/4.84 tff(8076,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52')).
% 6.72/4.84 tff(8077,plain,
% 6.72/4.84 (v1(constB52)),
% 6.72/4.84 inference(modus_ponens,[status(thm)],[8076, 8075])).
% 6.72/4.84 tff(8078,plain,
% 6.72/4.84 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v1(constB52)) | (~v102(constB52))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8079,plain,
% 6.72/4.84 ((~((~v1(constB52)) | (~v102(constB52)))) | (~v102(constB52))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8078, 8077])).
% 6.72/4.84 tff(8080,plain,
% 6.72/4.84 (~((~v1(constB52)) | (~v102(constB52)))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8079, 8074])).
% 6.72/4.84 tff(8081,plain,
% 6.72/4.84 ((~(v101(constB52) <=> (~((~v1(constB52)) | (~v102(constB52)))))) | v101(constB52) | ((~v1(constB52)) | (~v102(constB52)))),
% 6.72/4.84 inference(tautology,[status(thm)],[])).
% 6.72/4.84 tff(8082,plain,
% 6.72/4.84 (v101(constB52)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8081, 8080, 8061])).
% 6.72/4.84 tff(8083,plain,
% 6.72/4.84 (((~![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)))),
% 6.72/4.84 inference(rewrite,[status(thm)],[])).
% 6.72/4.84 tff(8084,plain,
% 6.72/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51)))),
% 6.72/4.84 inference(quant_inst,[status(thm)],[])).
% 6.72/4.84 tff(8085,plain,
% 6.72/4.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB51, constB52)) | (v110(constB52) <=> v108(constB51))),
% 6.72/4.84 inference(modus_ponens,[status(thm)],[8084, 8083])).
% 6.72/4.84 tff(8086,plain,
% 6.72/4.84 (v110(constB52) <=> v108(constB51)),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8085, 2229, 4007])).
% 6.72/4.84 tff(8087,plain,
% 6.72/4.84 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB51) <=> (v111(constB51) | v112(constB51)))),
% 6.72/4.84 inference(quant_inst,[status(thm)],[])).
% 6.72/4.84 tff(8088,plain,
% 6.72/4.84 (v108(constB51) <=> (v111(constB51) | v112(constB51))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8087, 4018])).
% 6.72/4.84 tff(8089,plain,
% 6.72/4.84 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))),
% 6.72/4.84 inference(quant_inst,[status(thm)],[])).
% 6.72/4.84 tff(8090,plain,
% 6.72/4.84 (v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51))))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8089, 4030])).
% 6.72/4.84 tff(8091,plain,
% 6.72/4.84 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB51) <=> (v114(constB51) | v125(constB51)))),
% 6.72/4.84 inference(quant_inst,[status(thm)],[])).
% 6.72/4.84 tff(8092,plain,
% 6.72/4.84 (v113(constB51) <=> (v114(constB51) | v125(constB51))),
% 6.72/4.84 inference(unit_resolution,[status(thm)],[8091, 4039])).
% 6.72/4.84 tff(8093,plain,
% 6.72/4.84 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB51) <=> (v115(constB51) | v124(constB51)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8094,plain,
% 6.72/4.85 (v114(constB51) <=> (v115(constB51) | v124(constB51))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8093, 4048])).
% 6.72/4.85 tff(8095,plain,
% 6.72/4.85 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB51) <=> (v116(constB51) | v123(constB51)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8096,plain,
% 6.72/4.85 (v115(constB51) <=> (v116(constB51) | v123(constB51))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8095, 4057])).
% 6.72/4.85 tff(8097,plain,
% 6.72/4.85 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB51) <=> (v117(constB51) | v122(constB51)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8098,plain,
% 6.72/4.85 (v116(constB51) <=> (v117(constB51) | v122(constB51))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8097, 4066])).
% 6.72/4.85 tff(8099,plain,
% 6.72/4.85 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB51) <=> (v118(constB51) | v121(constB51)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8100,plain,
% 6.72/4.85 (v117(constB51) <=> (v118(constB51) | v121(constB51))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8099, 4075])).
% 6.72/4.85 tff(8101,plain,
% 6.72/4.85 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB51) <=> (v119(constB51) | v120(constB51)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8102,plain,
% 6.72/4.85 (v118(constB51) <=> (v119(constB51) | v120(constB51))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8101, 4084])).
% 6.72/4.85 tff(8103,plain,
% 6.72/4.85 ((v119(constB51) | v120(constB51)) | (~v120(constB51))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8104,plain,
% 6.72/4.85 (v119(constB51) | v120(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8103, 8036])).
% 6.72/4.85 tff(8105,plain,
% 6.72/4.85 ((~(v118(constB51) <=> (v119(constB51) | v120(constB51)))) | v118(constB51) | (~(v119(constB51) | v120(constB51)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8106,plain,
% 6.72/4.85 (v118(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8105, 8104, 8102])).
% 6.72/4.85 tff(8107,plain,
% 6.72/4.85 ((v118(constB51) | v121(constB51)) | (~v118(constB51))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8108,plain,
% 6.72/4.85 (v118(constB51) | v121(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8107, 8106])).
% 6.72/4.85 tff(8109,plain,
% 6.72/4.85 ((~(v117(constB51) <=> (v118(constB51) | v121(constB51)))) | v117(constB51) | (~(v118(constB51) | v121(constB51)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8110,plain,
% 6.72/4.85 (v117(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8109, 8108, 8100])).
% 6.72/4.85 tff(8111,plain,
% 6.72/4.85 ((v117(constB51) | v122(constB51)) | (~v117(constB51))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8112,plain,
% 6.72/4.85 (v117(constB51) | v122(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8111, 8110])).
% 6.72/4.85 tff(8113,plain,
% 6.72/4.85 ((~(v116(constB51) <=> (v117(constB51) | v122(constB51)))) | v116(constB51) | (~(v117(constB51) | v122(constB51)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8114,plain,
% 6.72/4.85 (v116(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8113, 8112, 8098])).
% 6.72/4.85 tff(8115,plain,
% 6.72/4.85 ((v116(constB51) | v123(constB51)) | (~v116(constB51))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8116,plain,
% 6.72/4.85 (v116(constB51) | v123(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8115, 8114])).
% 6.72/4.85 tff(8117,plain,
% 6.72/4.85 ((~(v115(constB51) <=> (v116(constB51) | v123(constB51)))) | v115(constB51) | (~(v116(constB51) | v123(constB51)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8118,plain,
% 6.72/4.85 (v115(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8117, 8116, 8096])).
% 6.72/4.85 tff(8119,plain,
% 6.72/4.85 ((v115(constB51) | v124(constB51)) | (~v115(constB51))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8120,plain,
% 6.72/4.85 (v115(constB51) | v124(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8119, 8118])).
% 6.72/4.85 tff(8121,plain,
% 6.72/4.85 ((~(v114(constB51) <=> (v115(constB51) | v124(constB51)))) | v114(constB51) | (~(v115(constB51) | v124(constB51)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8122,plain,
% 6.72/4.85 (v114(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8121, 8120, 8094])).
% 6.72/4.85 tff(8123,plain,
% 6.72/4.85 ((v114(constB51) | v125(constB51)) | (~v114(constB51))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8124,plain,
% 6.72/4.85 (v114(constB51) | v125(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8123, 8122])).
% 6.72/4.85 tff(8125,plain,
% 6.72/4.85 ((~(v113(constB51) <=> (v114(constB51) | v125(constB51)))) | v113(constB51) | (~(v114(constB51) | v125(constB51)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8126,plain,
% 6.72/4.85 (v113(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8125, 8124, 8092])).
% 6.72/4.85 tff(8127,plain,
% 6.72/4.85 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB51)) <=> v111(constB51))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8128,plain,
% 6.72/4.85 ((~v126(constB51)) <=> v111(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8127, 4118])).
% 6.72/4.85 tff(8129,plain,
% 6.72/4.85 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51) | v111(constB51)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8130,plain,
% 6.72/4.85 ((~((~v126(constB51)) <=> v111(constB51))) | v126(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8129, 2242])).
% 6.72/4.85 tff(8131,plain,
% 6.72/4.85 (v126(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8130, 8128])).
% 6.72/4.85 tff(8132,plain,
% 6.72/4.85 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51)) | (~v126(constB51))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8133,plain,
% 6.72/4.85 ((~((~v113(constB51)) | (~v126(constB51)))) | (~v113(constB51))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8132, 8131])).
% 6.72/4.85 tff(8134,plain,
% 6.72/4.85 (~((~v113(constB51)) | (~v126(constB51)))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8133, 8126])).
% 6.72/4.85 tff(8135,plain,
% 6.72/4.85 ((~(v112(constB51) <=> (~((~v113(constB51)) | (~v126(constB51)))))) | v112(constB51) | ((~v113(constB51)) | (~v126(constB51)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8136,plain,
% 6.72/4.85 (v112(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8135, 8134, 8090])).
% 6.72/4.85 tff(8137,plain,
% 6.72/4.85 ((v111(constB51) | v112(constB51)) | (~v112(constB51))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8138,plain,
% 6.72/4.85 (v111(constB51) | v112(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8137, 8136])).
% 6.72/4.85 tff(8139,plain,
% 6.72/4.85 ((~(v108(constB51) <=> (v111(constB51) | v112(constB51)))) | v108(constB51) | (~(v111(constB51) | v112(constB51)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8140,plain,
% 6.72/4.85 (v108(constB51)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8139, 8138, 8088])).
% 6.72/4.85 tff(8141,plain,
% 6.72/4.85 ((~(v110(constB52) <=> v108(constB51))) | v110(constB52) | (~v108(constB51))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8142,plain,
% 6.72/4.85 (v110(constB52)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8141, 8140, 8086])).
% 6.72/4.85 tff(8143,plain,
% 6.72/4.85 ((~((~v101(constB52)) | (~v110(constB52)))) | (~v101(constB52)) | (~v110(constB52))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8144,plain,
% 6.72/4.85 (~((~v101(constB52)) | (~v110(constB52)))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8143, 8142, 8082])).
% 6.72/4.85 tff(8145,plain,
% 6.72/4.85 ((~(v100(constB52) <=> (~((~v101(constB52)) | (~v110(constB52)))))) | v100(constB52) | ((~v101(constB52)) | (~v110(constB52)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8146,plain,
% 6.72/4.85 (v100(constB52)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8145, 8144, 8054])).
% 6.72/4.85 tff(8147,plain,
% 6.72/4.85 (((~![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)))))),
% 6.72/4.85 inference(rewrite,[status(thm)],[])).
% 6.72/4.85 tff(8148,plain,
% 6.72/4.85 ((~![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)))))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8149,plain,
% 6.72/4.85 ((~![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))))),
% 6.72/4.85 inference(modus_ponens,[status(thm)],[8148, 8147])).
% 6.72/4.85 tff(8150,plain,
% 6.72/4.85 ((~v100(constB52)) | (~(((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0))))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8149, 4151])).
% 6.72/4.85 tff(8151,plain,
% 6.72/4.85 (~(((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0)))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8150, 8146])).
% 6.72/4.85 tff(8152,plain,
% 6.72/4.85 ((((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0))) | (~((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8153,plain,
% 6.72/4.85 (~((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8152, 8151])).
% 6.72/4.85 tff(8154,plain,
% 6.72/4.85 (((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | (~v90(constB52, bitIndex2)) | v129(constB52, bitIndex2)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8155,plain,
% 6.72/4.85 (~v90(constB52, bitIndex2)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8154, 8153, 8050])).
% 6.72/4.85 tff(8156,plain,
% 6.72/4.85 (((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | (~v90(constB53, bitIndex2)) | v90(constB52, bitIndex2)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8157,plain,
% 6.72/4.85 (~v90(constB53, bitIndex2)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8156, 8155, 2226])).
% 6.72/4.85 tff(8158,plain,
% 6.72/4.85 ((((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))) | (~((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8159,plain,
% 6.72/4.85 (~((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8158, 2224])).
% 6.72/4.85 tff(8160,plain,
% 6.72/4.85 ((((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0))) | (~((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8161,plain,
% 6.72/4.85 (~((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8160, 2233])).
% 6.72/4.85 tff(8162,plain,
% 6.72/4.85 ((((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1))) | (~((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8163,plain,
% 6.72/4.85 (~((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8162, 2247])).
% 6.72/4.85 tff(8164,plain,
% 6.72/4.85 ((v130(constB51, bitIndex2) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex1))) | (~v130(constB51, bitIndex0))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8165,plain,
% 6.72/4.85 (~v130(constB51, bitIndex0)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8164, 8044])).
% 6.72/4.85 tff(8166,plain,
% 6.72/4.85 (((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)) | (~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8167,plain,
% 6.72/4.85 (~v127(constB51, bitIndex0)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8166, 8165, 8163])).
% 6.72/4.85 tff(8168,plain,
% 6.72/4.85 (((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0)) | (~v129(constB52, bitIndex0)) | v127(constB51, bitIndex0)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8169,plain,
% 6.72/4.85 (~v129(constB52, bitIndex0)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8168, 8167, 8161])).
% 6.72/4.85 tff(8170,plain,
% 6.72/4.85 ((((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0))) | (~((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8171,plain,
% 6.72/4.85 (~((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8170, 8151])).
% 6.72/4.85 tff(8172,plain,
% 6.72/4.85 (((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0)) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8173,plain,
% 6.72/4.85 (~v90(constB52, bitIndex0)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8172, 8171, 8169])).
% 6.72/4.85 tff(8174,plain,
% 6.72/4.85 (((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0)) | (~v90(constB53, bitIndex0)) | v90(constB52, bitIndex0)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8175,plain,
% 6.72/4.85 (~v90(constB53, bitIndex0)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8174, 8173, 8159])).
% 6.72/4.85 tff(8176,plain,
% 6.72/4.85 ((((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | ((~v90(constB53, bitIndex2)) <=> v90(constB52, bitIndex2)) | ((~v90(constB53, bitIndex0)) <=> v90(constB52, bitIndex0))) | (~((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8177,plain,
% 6.72/4.85 (~((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8176, 2224])).
% 6.72/4.85 tff(8178,plain,
% 6.72/4.85 ((((~v129(constB52, bitIndex2)) <=> v127(constB51, bitIndex2)) | ((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | ((~v129(constB52, bitIndex0)) <=> v127(constB51, bitIndex0))) | (~((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8179,plain,
% 6.72/4.85 (~((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8178, 2233])).
% 6.72/4.85 tff(8180,plain,
% 6.72/4.85 ((((~v127(constB51, bitIndex2)) <=> v130(constB51, bitIndex2)) | ((~v127(constB51, bitIndex0)) <=> v130(constB51, bitIndex0)) | ((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1))) | (~((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8181,plain,
% 6.72/4.85 (~((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8180, 2247])).
% 6.72/4.85 tff(8182,plain,
% 6.72/4.85 ((v130(constB51, bitIndex2) | v130(constB51, bitIndex0) | (~v130(constB51, bitIndex1))) | v130(constB51, bitIndex1)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8183,plain,
% 6.72/4.85 (v130(constB51, bitIndex1)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8182, 8044])).
% 6.72/4.85 tff(8184,plain,
% 6.72/4.85 (((~v127(constB51, bitIndex1)) <=> v130(constB51, bitIndex1)) | v127(constB51, bitIndex1) | (~v130(constB51, bitIndex1))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8185,plain,
% 6.72/4.85 (v127(constB51, bitIndex1)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8184, 8183, 8181])).
% 6.72/4.85 tff(8186,plain,
% 6.72/4.85 (((~v129(constB52, bitIndex1)) <=> v127(constB51, bitIndex1)) | v129(constB52, bitIndex1) | (~v127(constB51, bitIndex1))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8187,plain,
% 6.72/4.85 (v129(constB52, bitIndex1)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8186, 8185, 8179])).
% 6.72/4.85 tff(8188,plain,
% 6.72/4.85 ((((~v90(constB52, bitIndex2)) <=> v129(constB52, bitIndex2)) | ((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | ((~v90(constB52, bitIndex0)) <=> v129(constB52, bitIndex0))) | (~((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8189,plain,
% 6.72/4.85 (~((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8188, 8151])).
% 6.72/4.85 tff(8190,plain,
% 6.72/4.85 (((~v90(constB52, bitIndex1)) <=> v129(constB52, bitIndex1)) | v90(constB52, bitIndex1) | (~v129(constB52, bitIndex1))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8191,plain,
% 6.72/4.85 (v90(constB52, bitIndex1)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8190, 8189, 8187])).
% 6.72/4.85 tff(8192,plain,
% 6.72/4.85 (((~v90(constB53, bitIndex1)) <=> v90(constB52, bitIndex1)) | v90(constB53, bitIndex1) | (~v90(constB52, bitIndex1))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8193,plain,
% 6.72/4.85 (v90(constB53, bitIndex1)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8192, 8191, 8177])).
% 6.72/4.85 tff(8194,plain,
% 6.72/4.85 ((~(v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)))) | v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8195,plain,
% 6.72/4.85 (~(v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8194, 8193, 8175, 8157])).
% 6.72/4.85 tff(8196,plain,
% 6.72/4.85 ((~(v121(constB53) <=> (~(v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)))))) | v121(constB53) | (v90(constB53, bitIndex2) | v90(constB53, bitIndex0) | (~v90(constB53, bitIndex1)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8197,plain,
% 6.72/4.85 (v121(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8196, 8195, 2190])).
% 6.72/4.85 tff(8198,plain,
% 6.72/4.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB53)) | (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex0)) | (~v130(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB53)) | (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex0)) | (~v130(constB53, bitIndex1)))))),
% 6.72/4.85 inference(rewrite,[status(thm)],[])).
% 6.72/4.85 tff(8199,plain,
% 6.72/4.85 (((~v121(constB53)) | (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex1)) | (~v130(constB53, bitIndex0))))) <=> ((~v121(constB53)) | (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex0)) | (~v130(constB53, bitIndex1)))))),
% 6.72/4.85 inference(rewrite,[status(thm)],[])).
% 6.72/4.85 tff(8200,plain,
% 6.72/4.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB53)) | (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex1)) | (~v130(constB53, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB53)) | (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex0)) | (~v130(constB53, bitIndex1))))))),
% 6.72/4.85 inference(monotonicity,[status(thm)],[8199])).
% 6.72/4.85 tff(8201,plain,
% 6.72/4.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB53)) | (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex1)) | (~v130(constB53, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB53)) | (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex0)) | (~v130(constB53, bitIndex1)))))),
% 6.72/4.85 inference(transitivity,[status(thm)],[8200, 8198])).
% 6.72/4.85 tff(8202,plain,
% 6.72/4.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB53)) | (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex1)) | (~v130(constB53, bitIndex0)))))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8203,plain,
% 6.72/4.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB53)) | (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex0)) | (~v130(constB53, bitIndex1))))),
% 6.72/4.85 inference(modus_ponens,[status(thm)],[8202, 8201])).
% 6.72/4.85 tff(8204,plain,
% 6.72/4.85 ((~v121(constB53)) | (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex0)) | (~v130(constB53, bitIndex1))))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8203, 4392])).
% 6.72/4.85 tff(8205,plain,
% 6.72/4.85 (~(v130(constB53, bitIndex2) | (~v130(constB53, bitIndex0)) | (~v130(constB53, bitIndex1)))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8204, 8197])).
% 6.72/4.85 tff(8206,plain,
% 6.72/4.85 ((v130(constB53, bitIndex2) | (~v130(constB53, bitIndex0)) | (~v130(constB53, bitIndex1))) | (~v130(constB53, bitIndex2))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8207,plain,
% 6.72/4.85 (~v130(constB53, bitIndex2)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8206, 8205])).
% 6.72/4.85 tff(8208,plain,
% 6.72/4.85 (((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | (~v127(constB53, bitIndex2)) | v130(constB53, bitIndex2)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8209,plain,
% 6.72/4.85 (~v127(constB53, bitIndex2)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8208, 8207, 2183])).
% 6.72/4.85 tff(8210,plain,
% 6.72/4.85 (((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | (~v129(constB54, bitIndex2)) | v127(constB53, bitIndex2)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8211,plain,
% 6.72/4.85 (~v129(constB54, bitIndex2)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8210, 8209, 2169])).
% 6.72/4.85 tff(8212,plain,
% 6.72/4.85 (((~![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))))))),
% 6.72/4.85 inference(rewrite,[status(thm)],[])).
% 6.72/4.85 tff(8213,plain,
% 6.72/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8214,plain,
% 6.72/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB53, constB54)) | (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))),
% 6.72/4.85 inference(modus_ponens,[status(thm)],[8213, 8212])).
% 6.72/4.85 tff(8215,plain,
% 6.72/4.85 (v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54))))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8214, 2163, 433])).
% 6.72/4.85 tff(8216,plain,
% 6.72/4.85 (((~![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))))))),
% 6.72/4.85 inference(rewrite,[status(thm)],[])).
% 6.72/4.85 tff(8217,plain,
% 6.72/4.85 (((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54)))))) <=> ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))))),
% 6.72/4.85 inference(rewrite,[status(thm)],[])).
% 6.72/4.85 tff(8218,plain,
% 6.72/4.85 (((~![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)))))))),
% 6.72/4.85 inference(monotonicity,[status(thm)],[8217])).
% 6.72/4.85 tff(8219,plain,
% 6.72/4.85 (((~![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))))))),
% 6.72/4.85 inference(transitivity,[status(thm)],[8218, 8216])).
% 6.72/4.85 tff(8220,plain,
% 6.72/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v102(constB54)) | (~v1(constB54))))))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8221,plain,
% 6.72/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))),
% 6.72/4.85 inference(modus_ponens,[status(thm)],[8220, 8219])).
% 6.72/4.85 tff(8222,plain,
% 6.72/4.85 (v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54))))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8221, 2163, 453])).
% 6.72/4.85 tff(8223,plain,
% 6.72/4.85 (((~![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)))),
% 6.72/4.85 inference(rewrite,[status(thm)],[])).
% 6.72/4.85 tff(8224,plain,
% 6.72/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8225,plain,
% 6.72/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB53, constB54)) | ((~v102(constB54)) <=> v104(constB54))),
% 6.72/4.85 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 6.72/4.85 tff(8226,plain,
% 6.72/4.85 ((~v102(constB54)) <=> v104(constB54)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8225, 2163, 3966])).
% 6.72/4.85 tff(8227,plain,
% 6.72/4.85 (((~![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)))),
% 6.72/4.85 inference(rewrite,[status(thm)],[])).
% 6.72/4.85 tff(8228,plain,
% 6.72/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8229,plain,
% 6.72/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v1(constB53))),
% 6.72/4.85 inference(modus_ponens,[status(thm)],[8228, 8227])).
% 6.72/4.85 tff(8230,plain,
% 6.72/4.85 (v104(constB54) <=> v1(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8229, 2163, 3980])).
% 6.72/4.85 tff(8231,plain,
% 6.72/4.85 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54)) | v1(constB53)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8232,plain,
% 6.72/4.85 ((~(v104(constB54) <=> v1(constB53))) | (~v104(constB54))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8231, 2207])).
% 6.72/4.85 tff(8233,plain,
% 6.72/4.85 (~v104(constB54)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8232, 8230])).
% 6.72/4.85 tff(8234,plain,
% 6.72/4.85 ((~((~v102(constB54)) <=> v104(constB54))) | v102(constB54) | v104(constB54)),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8235,plain,
% 6.72/4.85 (v102(constB54)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8234, 8233, 8226])).
% 6.72/4.85 tff(8236,plain,
% 6.72/4.85 (v1(constB54) <=> v1(constB54)),
% 6.72/4.85 inference(rewrite,[status(thm)],[])).
% 6.72/4.85 tff(8237,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54')).
% 6.72/4.85 tff(8238,plain,
% 6.72/4.85 (v1(constB54)),
% 6.72/4.85 inference(modus_ponens,[status(thm)],[8237, 8236])).
% 6.72/4.85 tff(8239,plain,
% 6.72/4.85 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v1(constB54)) | (~v102(constB54))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8240,plain,
% 6.72/4.85 ((~((~v1(constB54)) | (~v102(constB54)))) | (~v102(constB54))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8239, 8238])).
% 6.72/4.85 tff(8241,plain,
% 6.72/4.85 (~((~v1(constB54)) | (~v102(constB54)))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8240, 8235])).
% 6.72/4.85 tff(8242,plain,
% 6.72/4.85 ((~(v101(constB54) <=> (~((~v1(constB54)) | (~v102(constB54)))))) | v101(constB54) | ((~v1(constB54)) | (~v102(constB54)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8243,plain,
% 6.72/4.85 (v101(constB54)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8242, 8241, 8222])).
% 6.72/4.85 tff(8244,plain,
% 6.72/4.85 (((~![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)))),
% 6.72/4.85 inference(rewrite,[status(thm)],[])).
% 6.72/4.85 tff(8245,plain,
% 6.72/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8246,plain,
% 6.72/4.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB53, constB54)) | (v110(constB54) <=> v108(constB53))),
% 6.72/4.85 inference(modus_ponens,[status(thm)],[8245, 8244])).
% 6.72/4.85 tff(8247,plain,
% 6.72/4.85 (v110(constB54) <=> v108(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8246, 2163, 4007])).
% 6.72/4.85 tff(8248,plain,
% 6.72/4.85 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB53) <=> (v111(constB53) | v112(constB53)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8249,plain,
% 6.72/4.85 (v108(constB53) <=> (v111(constB53) | v112(constB53))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8248, 4018])).
% 6.72/4.85 tff(8250,plain,
% 6.72/4.85 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8251,plain,
% 6.72/4.85 (v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53))))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8250, 4030])).
% 6.72/4.85 tff(8252,plain,
% 6.72/4.85 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB53) <=> (v114(constB53) | v125(constB53)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8253,plain,
% 6.72/4.85 (v113(constB53) <=> (v114(constB53) | v125(constB53))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8252, 4039])).
% 6.72/4.85 tff(8254,plain,
% 6.72/4.85 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB53) <=> (v115(constB53) | v124(constB53)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8255,plain,
% 6.72/4.85 (v114(constB53) <=> (v115(constB53) | v124(constB53))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8254, 4048])).
% 6.72/4.85 tff(8256,plain,
% 6.72/4.85 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB53) <=> (v116(constB53) | v123(constB53)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8257,plain,
% 6.72/4.85 (v115(constB53) <=> (v116(constB53) | v123(constB53))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8256, 4057])).
% 6.72/4.85 tff(8258,plain,
% 6.72/4.85 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB53) <=> (v117(constB53) | v122(constB53)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8259,plain,
% 6.72/4.85 (v116(constB53) <=> (v117(constB53) | v122(constB53))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8258, 4066])).
% 6.72/4.85 tff(8260,plain,
% 6.72/4.85 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB53) <=> (v118(constB53) | v121(constB53)))),
% 6.72/4.85 inference(quant_inst,[status(thm)],[])).
% 6.72/4.85 tff(8261,plain,
% 6.72/4.85 (v117(constB53) <=> (v118(constB53) | v121(constB53))),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8260, 4075])).
% 6.72/4.85 tff(8262,plain,
% 6.72/4.85 ((v118(constB53) | v121(constB53)) | (~v121(constB53))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8263,plain,
% 6.72/4.85 (v118(constB53) | v121(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8262, 8197])).
% 6.72/4.85 tff(8264,plain,
% 6.72/4.85 ((~(v117(constB53) <=> (v118(constB53) | v121(constB53)))) | v117(constB53) | (~(v118(constB53) | v121(constB53)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8265,plain,
% 6.72/4.85 (v117(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8264, 8263, 8261])).
% 6.72/4.85 tff(8266,plain,
% 6.72/4.85 ((v117(constB53) | v122(constB53)) | (~v117(constB53))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8267,plain,
% 6.72/4.85 (v117(constB53) | v122(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8266, 8265])).
% 6.72/4.85 tff(8268,plain,
% 6.72/4.85 ((~(v116(constB53) <=> (v117(constB53) | v122(constB53)))) | v116(constB53) | (~(v117(constB53) | v122(constB53)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8269,plain,
% 6.72/4.85 (v116(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8268, 8267, 8259])).
% 6.72/4.85 tff(8270,plain,
% 6.72/4.85 ((v116(constB53) | v123(constB53)) | (~v116(constB53))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8271,plain,
% 6.72/4.85 (v116(constB53) | v123(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8270, 8269])).
% 6.72/4.85 tff(8272,plain,
% 6.72/4.85 ((~(v115(constB53) <=> (v116(constB53) | v123(constB53)))) | v115(constB53) | (~(v116(constB53) | v123(constB53)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8273,plain,
% 6.72/4.85 (v115(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8272, 8271, 8257])).
% 6.72/4.85 tff(8274,plain,
% 6.72/4.85 ((v115(constB53) | v124(constB53)) | (~v115(constB53))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8275,plain,
% 6.72/4.85 (v115(constB53) | v124(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8274, 8273])).
% 6.72/4.85 tff(8276,plain,
% 6.72/4.85 ((~(v114(constB53) <=> (v115(constB53) | v124(constB53)))) | v114(constB53) | (~(v115(constB53) | v124(constB53)))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8277,plain,
% 6.72/4.85 (v114(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8276, 8275, 8255])).
% 6.72/4.85 tff(8278,plain,
% 6.72/4.85 ((v114(constB53) | v125(constB53)) | (~v114(constB53))),
% 6.72/4.85 inference(tautology,[status(thm)],[])).
% 6.72/4.85 tff(8279,plain,
% 6.72/4.85 (v114(constB53) | v125(constB53)),
% 6.72/4.85 inference(unit_resolution,[status(thm)],[8278, 8277])).
% 6.72/4.86 tff(8280,plain,
% 6.72/4.86 ((~(v113(constB53) <=> (v114(constB53) | v125(constB53)))) | v113(constB53) | (~(v114(constB53) | v125(constB53)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8281,plain,
% 6.72/4.86 (v113(constB53)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8280, 8279, 8253])).
% 6.72/4.86 tff(8282,plain,
% 6.72/4.86 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB53)) <=> v111(constB53))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8283,plain,
% 6.72/4.86 ((~v126(constB53)) <=> v111(constB53)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8282, 4118])).
% 6.72/4.86 tff(8284,plain,
% 6.72/4.86 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53) | v111(constB53)),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8285,plain,
% 6.72/4.86 ((~((~v126(constB53)) <=> v111(constB53))) | v126(constB53)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8284, 2176])).
% 6.72/4.86 tff(8286,plain,
% 6.72/4.86 (v126(constB53)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8285, 8283])).
% 6.72/4.86 tff(8287,plain,
% 6.72/4.86 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53)) | (~v126(constB53))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8288,plain,
% 6.72/4.86 ((~((~v113(constB53)) | (~v126(constB53)))) | (~v113(constB53))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8287, 8286])).
% 6.72/4.86 tff(8289,plain,
% 6.72/4.86 (~((~v113(constB53)) | (~v126(constB53)))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8288, 8281])).
% 6.72/4.86 tff(8290,plain,
% 6.72/4.86 ((~(v112(constB53) <=> (~((~v113(constB53)) | (~v126(constB53)))))) | v112(constB53) | ((~v113(constB53)) | (~v126(constB53)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8291,plain,
% 6.72/4.86 (v112(constB53)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8290, 8289, 8251])).
% 6.72/4.86 tff(8292,plain,
% 6.72/4.86 ((v111(constB53) | v112(constB53)) | (~v112(constB53))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8293,plain,
% 6.72/4.86 (v111(constB53) | v112(constB53)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8292, 8291])).
% 6.72/4.86 tff(8294,plain,
% 6.72/4.86 ((~(v108(constB53) <=> (v111(constB53) | v112(constB53)))) | v108(constB53) | (~(v111(constB53) | v112(constB53)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8295,plain,
% 6.72/4.86 (v108(constB53)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8294, 8293, 8249])).
% 6.72/4.86 tff(8296,plain,
% 6.72/4.86 ((~(v110(constB54) <=> v108(constB53))) | v110(constB54) | (~v108(constB53))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8297,plain,
% 6.72/4.86 (v110(constB54)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8296, 8295, 8247])).
% 6.72/4.86 tff(8298,plain,
% 6.72/4.86 ((~((~v101(constB54)) | (~v110(constB54)))) | (~v101(constB54)) | (~v110(constB54))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8299,plain,
% 6.72/4.86 (~((~v101(constB54)) | (~v110(constB54)))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8298, 8297, 8243])).
% 6.72/4.86 tff(8300,plain,
% 6.72/4.86 ((~(v100(constB54) <=> (~((~v101(constB54)) | (~v110(constB54)))))) | v100(constB54) | ((~v101(constB54)) | (~v110(constB54)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8301,plain,
% 6.72/4.86 (v100(constB54)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8300, 8299, 8215])).
% 6.72/4.86 tff(8302,plain,
% 6.72/4.86 (((~![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)))))),
% 6.72/4.86 inference(rewrite,[status(thm)],[])).
% 6.72/4.86 tff(8303,plain,
% 6.72/4.86 (((~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)))))),
% 6.72/4.86 inference(rewrite,[status(thm)],[])).
% 6.72/4.86 tff(8304,plain,
% 6.72/4.86 (((~![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))))))),
% 6.72/4.86 inference(monotonicity,[status(thm)],[8303])).
% 6.72/4.86 tff(8305,plain,
% 6.72/4.86 (((~![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)))))),
% 6.72/4.86 inference(transitivity,[status(thm)],[8304, 8302])).
% 6.72/4.86 tff(8306,plain,
% 6.72/4.86 ((~![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)))))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8307,plain,
% 6.72/4.86 ((~![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))))),
% 6.72/4.86 inference(modus_ponens,[status(thm)],[8306, 8305])).
% 6.72/4.86 tff(8308,plain,
% 6.72/4.86 ((~v100(constB54)) | (~(((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8307, 4151])).
% 6.72/4.86 tff(8309,plain,
% 6.72/4.86 (~(((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8308, 8301])).
% 6.72/4.86 tff(8310,plain,
% 6.72/4.86 ((((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))) | (~((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8311,plain,
% 6.72/4.86 (~((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8310, 8309])).
% 6.72/4.86 tff(8312,plain,
% 6.72/4.86 (((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | (~v90(constB54, bitIndex2)) | v129(constB54, bitIndex2)),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8313,plain,
% 6.72/4.86 (~v90(constB54, bitIndex2)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8312, 8311, 8211])).
% 6.72/4.86 tff(8314,plain,
% 6.72/4.86 (((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | (~v90(constB55, bitIndex2)) | v90(constB54, bitIndex2)),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8315,plain,
% 6.72/4.86 (~v90(constB55, bitIndex2)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8314, 8313, 2160])).
% 6.72/4.86 tff(8316,plain,
% 6.72/4.86 ((((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))) | (~((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8317,plain,
% 6.72/4.86 (~((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8316, 2158])).
% 6.72/4.86 tff(8318,plain,
% 6.72/4.86 ((((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0))) | (~((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8319,plain,
% 6.72/4.86 (~((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8318, 2167])).
% 6.72/4.86 tff(8320,plain,
% 6.72/4.86 ((((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1))) | (~((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8321,plain,
% 6.72/4.86 (~((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8320, 2181])).
% 6.72/4.86 tff(8322,plain,
% 6.72/4.86 ((v130(constB53, bitIndex2) | (~v130(constB53, bitIndex0)) | (~v130(constB53, bitIndex1))) | v130(constB53, bitIndex0)),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8323,plain,
% 6.72/4.86 (v130(constB53, bitIndex0)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8322, 8205])).
% 6.72/4.86 tff(8324,plain,
% 6.72/4.86 (((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)) | v127(constB53, bitIndex0) | (~v130(constB53, bitIndex0))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8325,plain,
% 6.72/4.86 (v127(constB53, bitIndex0)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8324, 8323, 8321])).
% 6.72/4.86 tff(8326,plain,
% 6.72/4.86 (((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0)) | v129(constB54, bitIndex0) | (~v127(constB53, bitIndex0))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8327,plain,
% 6.72/4.86 (v129(constB54, bitIndex0)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8326, 8325, 8319])).
% 6.72/4.86 tff(8328,plain,
% 6.72/4.86 ((((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))) | (~((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8329,plain,
% 6.72/4.86 (~((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8328, 8309])).
% 6.72/4.86 tff(8330,plain,
% 6.72/4.86 (((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | v90(constB54, bitIndex0) | (~v129(constB54, bitIndex0))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8331,plain,
% 6.72/4.86 (v90(constB54, bitIndex0)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8330, 8329, 8327])).
% 6.72/4.86 tff(8332,plain,
% 6.72/4.86 (((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0)) | v90(constB55, bitIndex0) | (~v90(constB54, bitIndex0))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8333,plain,
% 6.72/4.86 (v90(constB55, bitIndex0)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8332, 8331, 8317])).
% 6.72/4.86 tff(8334,plain,
% 6.72/4.86 ((((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | ((~v90(constB55, bitIndex2)) <=> v90(constB54, bitIndex2)) | ((~v90(constB55, bitIndex0)) <=> v90(constB54, bitIndex0))) | (~((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8335,plain,
% 6.72/4.86 (~((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8334, 2158])).
% 6.72/4.86 tff(8336,plain,
% 6.72/4.86 ((((~v129(constB54, bitIndex2)) <=> v127(constB53, bitIndex2)) | ((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | ((~v129(constB54, bitIndex0)) <=> v127(constB53, bitIndex0))) | (~((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8337,plain,
% 6.72/4.86 (~((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8336, 2167])).
% 6.72/4.86 tff(8338,plain,
% 6.72/4.86 ((((~v127(constB53, bitIndex2)) <=> v130(constB53, bitIndex2)) | ((~v127(constB53, bitIndex0)) <=> v130(constB53, bitIndex0)) | ((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1))) | (~((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8339,plain,
% 6.72/4.86 (~((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8338, 2181])).
% 6.72/4.86 tff(8340,plain,
% 6.72/4.86 ((v130(constB53, bitIndex2) | (~v130(constB53, bitIndex0)) | (~v130(constB53, bitIndex1))) | v130(constB53, bitIndex1)),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8341,plain,
% 6.72/4.86 (v130(constB53, bitIndex1)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8340, 8205])).
% 6.72/4.86 tff(8342,plain,
% 6.72/4.86 (((~v127(constB53, bitIndex1)) <=> v130(constB53, bitIndex1)) | v127(constB53, bitIndex1) | (~v130(constB53, bitIndex1))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8343,plain,
% 6.72/4.86 (v127(constB53, bitIndex1)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8342, 8341, 8339])).
% 6.72/4.86 tff(8344,plain,
% 6.72/4.86 (((~v129(constB54, bitIndex1)) <=> v127(constB53, bitIndex1)) | v129(constB54, bitIndex1) | (~v127(constB53, bitIndex1))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8345,plain,
% 6.72/4.86 (v129(constB54, bitIndex1)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8344, 8343, 8337])).
% 6.72/4.86 tff(8346,plain,
% 6.72/4.86 ((((~v90(constB54, bitIndex0)) <=> v129(constB54, bitIndex0)) | ((~v90(constB54, bitIndex2)) <=> v129(constB54, bitIndex2)) | ((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))) | (~((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8347,plain,
% 6.72/4.86 (~((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8346, 8309])).
% 6.72/4.86 tff(8348,plain,
% 6.72/4.86 (((~v90(constB54, bitIndex1)) <=> v129(constB54, bitIndex1)) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8349,plain,
% 6.72/4.86 (v90(constB54, bitIndex1)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8348, 8347, 8345])).
% 6.72/4.86 tff(8350,plain,
% 6.72/4.86 (((~v90(constB55, bitIndex1)) <=> v90(constB54, bitIndex1)) | v90(constB55, bitIndex1) | (~v90(constB54, bitIndex1))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8351,plain,
% 6.72/4.86 (v90(constB55, bitIndex1)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8350, 8349, 8335])).
% 6.72/4.86 tff(8352,plain,
% 6.72/4.86 ((~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))) | v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8353,plain,
% 6.72/4.86 (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8352, 8351, 8333, 8315])).
% 6.72/4.86 tff(8354,plain,
% 6.72/4.86 ((~(v122(constB55) <=> (~(v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))))) | v122(constB55) | (v90(constB55, bitIndex2) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex0)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8355,plain,
% 6.72/4.86 (v122(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8354, 8353, 2124])).
% 6.72/4.86 tff(8356,plain,
% 6.72/4.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB55)) | (~(v130(constB55, bitIndex0) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB55)) | (~(v130(constB55, bitIndex0) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex2)))))),
% 6.72/4.86 inference(rewrite,[status(thm)],[])).
% 6.72/4.86 tff(8357,plain,
% 6.72/4.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB55)) | (~(v130(constB55, bitIndex0) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex2)))))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8358,plain,
% 6.72/4.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB55)) | (~(v130(constB55, bitIndex0) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex2))))),
% 6.72/4.86 inference(modus_ponens,[status(thm)],[8357, 8356])).
% 6.72/4.86 tff(8359,plain,
% 6.72/4.86 ((~v122(constB55)) | (~(v130(constB55, bitIndex0) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex2))))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8358, 4563])).
% 6.72/4.86 tff(8360,plain,
% 6.72/4.86 (~(v130(constB55, bitIndex0) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex2)))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8359, 8355])).
% 6.72/4.86 tff(8361,plain,
% 6.72/4.86 ((v130(constB55, bitIndex0) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex2))) | v130(constB55, bitIndex2)),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8362,plain,
% 6.72/4.86 (v130(constB55, bitIndex2)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8361, 8360])).
% 6.72/4.86 tff(8363,plain,
% 6.72/4.86 (((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | v127(constB55, bitIndex2) | (~v130(constB55, bitIndex2))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8364,plain,
% 6.72/4.86 (v127(constB55, bitIndex2)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8363, 8362, 2117])).
% 6.72/4.86 tff(8365,plain,
% 6.72/4.86 (((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | v129(constB56, bitIndex2) | (~v127(constB55, bitIndex2))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8366,plain,
% 6.72/4.86 (v129(constB56, bitIndex2)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8365, 8364, 2103])).
% 6.72/4.86 tff(8367,plain,
% 6.72/4.86 (((~![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))))))),
% 6.72/4.86 inference(rewrite,[status(thm)],[])).
% 6.72/4.86 tff(8368,plain,
% 6.72/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8369,plain,
% 6.72/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB55, constB56)) | (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))),
% 6.72/4.86 inference(modus_ponens,[status(thm)],[8368, 8367])).
% 6.72/4.86 tff(8370,plain,
% 6.72/4.86 (v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56))))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8369, 2097, 433])).
% 6.72/4.86 tff(8371,plain,
% 6.72/4.86 (((~![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))))))),
% 6.72/4.86 inference(rewrite,[status(thm)],[])).
% 6.72/4.86 tff(8372,plain,
% 6.72/4.86 (((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56)))))) <=> ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))))),
% 6.72/4.86 inference(rewrite,[status(thm)],[])).
% 6.72/4.86 tff(8373,plain,
% 6.72/4.86 (((~![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)))))))),
% 6.72/4.86 inference(monotonicity,[status(thm)],[8372])).
% 6.72/4.86 tff(8374,plain,
% 6.72/4.86 (((~![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))))))),
% 6.72/4.86 inference(transitivity,[status(thm)],[8373, 8371])).
% 6.72/4.86 tff(8375,plain,
% 6.72/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v102(constB56)) | (~v1(constB56))))))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8376,plain,
% 6.72/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))),
% 6.72/4.86 inference(modus_ponens,[status(thm)],[8375, 8374])).
% 6.72/4.86 tff(8377,plain,
% 6.72/4.86 (v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56))))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8376, 2097, 453])).
% 6.72/4.86 tff(8378,plain,
% 6.72/4.86 (((~![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)))),
% 6.72/4.86 inference(rewrite,[status(thm)],[])).
% 6.72/4.86 tff(8379,plain,
% 6.72/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56)))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8380,plain,
% 6.72/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB55, constB56)) | ((~v102(constB56)) <=> v104(constB56))),
% 6.72/4.86 inference(modus_ponens,[status(thm)],[8379, 8378])).
% 6.72/4.86 tff(8381,plain,
% 6.72/4.86 ((~v102(constB56)) <=> v104(constB56)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8380, 2097, 3966])).
% 6.72/4.86 tff(8382,plain,
% 6.72/4.86 (((~![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)))),
% 6.72/4.86 inference(rewrite,[status(thm)],[])).
% 6.72/4.86 tff(8383,plain,
% 6.72/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55)))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8384,plain,
% 6.72/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v1(constB55))),
% 6.72/4.86 inference(modus_ponens,[status(thm)],[8383, 8382])).
% 6.72/4.86 tff(8385,plain,
% 6.72/4.86 (v104(constB56) <=> v1(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8384, 2097, 3980])).
% 6.72/4.86 tff(8386,plain,
% 6.72/4.86 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56)) | v1(constB55)),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8387,plain,
% 6.72/4.86 ((~(v104(constB56) <=> v1(constB55))) | (~v104(constB56))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8386, 2141])).
% 6.72/4.86 tff(8388,plain,
% 6.72/4.86 (~v104(constB56)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8387, 8385])).
% 6.72/4.86 tff(8389,plain,
% 6.72/4.86 ((~((~v102(constB56)) <=> v104(constB56))) | v102(constB56) | v104(constB56)),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8390,plain,
% 6.72/4.86 (v102(constB56)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8389, 8388, 8381])).
% 6.72/4.86 tff(8391,plain,
% 6.72/4.86 (v1(constB56) <=> v1(constB56)),
% 6.72/4.86 inference(rewrite,[status(thm)],[])).
% 6.72/4.86 tff(8392,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56')).
% 6.72/4.86 tff(8393,plain,
% 6.72/4.86 (v1(constB56)),
% 6.72/4.86 inference(modus_ponens,[status(thm)],[8392, 8391])).
% 6.72/4.86 tff(8394,plain,
% 6.72/4.86 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v1(constB56)) | (~v102(constB56))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8395,plain,
% 6.72/4.86 ((~((~v1(constB56)) | (~v102(constB56)))) | (~v102(constB56))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8394, 8393])).
% 6.72/4.86 tff(8396,plain,
% 6.72/4.86 (~((~v1(constB56)) | (~v102(constB56)))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8395, 8390])).
% 6.72/4.86 tff(8397,plain,
% 6.72/4.86 ((~(v101(constB56) <=> (~((~v1(constB56)) | (~v102(constB56)))))) | v101(constB56) | ((~v1(constB56)) | (~v102(constB56)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8398,plain,
% 6.72/4.86 (v101(constB56)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8397, 8396, 8377])).
% 6.72/4.86 tff(8399,plain,
% 6.72/4.86 (((~![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)))),
% 6.72/4.86 inference(rewrite,[status(thm)],[])).
% 6.72/4.86 tff(8400,plain,
% 6.72/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55)))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8401,plain,
% 6.72/4.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB55, constB56)) | (v110(constB56) <=> v108(constB55))),
% 6.72/4.86 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 6.72/4.86 tff(8402,plain,
% 6.72/4.86 (v110(constB56) <=> v108(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8401, 2097, 4007])).
% 6.72/4.86 tff(8403,plain,
% 6.72/4.86 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB55) <=> (v111(constB55) | v112(constB55)))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8404,plain,
% 6.72/4.86 (v108(constB55) <=> (v111(constB55) | v112(constB55))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8403, 4018])).
% 6.72/4.86 tff(8405,plain,
% 6.72/4.86 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8406,plain,
% 6.72/4.86 (v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55))))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8405, 4030])).
% 6.72/4.86 tff(8407,plain,
% 6.72/4.86 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB55) <=> (v114(constB55) | v125(constB55)))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8408,plain,
% 6.72/4.86 (v113(constB55) <=> (v114(constB55) | v125(constB55))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8407, 4039])).
% 6.72/4.86 tff(8409,plain,
% 6.72/4.86 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB55) <=> (v115(constB55) | v124(constB55)))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8410,plain,
% 6.72/4.86 (v114(constB55) <=> (v115(constB55) | v124(constB55))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8409, 4048])).
% 6.72/4.86 tff(8411,plain,
% 6.72/4.86 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB55) <=> (v116(constB55) | v123(constB55)))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8412,plain,
% 6.72/4.86 (v115(constB55) <=> (v116(constB55) | v123(constB55))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8411, 4057])).
% 6.72/4.86 tff(8413,plain,
% 6.72/4.86 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB55) <=> (v117(constB55) | v122(constB55)))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8414,plain,
% 6.72/4.86 (v116(constB55) <=> (v117(constB55) | v122(constB55))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8413, 4066])).
% 6.72/4.86 tff(8415,plain,
% 6.72/4.86 ((v117(constB55) | v122(constB55)) | (~v122(constB55))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8416,plain,
% 6.72/4.86 (v117(constB55) | v122(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8415, 8355])).
% 6.72/4.86 tff(8417,plain,
% 6.72/4.86 ((~(v116(constB55) <=> (v117(constB55) | v122(constB55)))) | v116(constB55) | (~(v117(constB55) | v122(constB55)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8418,plain,
% 6.72/4.86 (v116(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8417, 8416, 8414])).
% 6.72/4.86 tff(8419,plain,
% 6.72/4.86 ((v116(constB55) | v123(constB55)) | (~v116(constB55))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8420,plain,
% 6.72/4.86 (v116(constB55) | v123(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8419, 8418])).
% 6.72/4.86 tff(8421,plain,
% 6.72/4.86 ((~(v115(constB55) <=> (v116(constB55) | v123(constB55)))) | v115(constB55) | (~(v116(constB55) | v123(constB55)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8422,plain,
% 6.72/4.86 (v115(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8421, 8420, 8412])).
% 6.72/4.86 tff(8423,plain,
% 6.72/4.86 ((v115(constB55) | v124(constB55)) | (~v115(constB55))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8424,plain,
% 6.72/4.86 (v115(constB55) | v124(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8423, 8422])).
% 6.72/4.86 tff(8425,plain,
% 6.72/4.86 ((~(v114(constB55) <=> (v115(constB55) | v124(constB55)))) | v114(constB55) | (~(v115(constB55) | v124(constB55)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8426,plain,
% 6.72/4.86 (v114(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8425, 8424, 8410])).
% 6.72/4.86 tff(8427,plain,
% 6.72/4.86 ((v114(constB55) | v125(constB55)) | (~v114(constB55))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8428,plain,
% 6.72/4.86 (v114(constB55) | v125(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8427, 8426])).
% 6.72/4.86 tff(8429,plain,
% 6.72/4.86 ((~(v113(constB55) <=> (v114(constB55) | v125(constB55)))) | v113(constB55) | (~(v114(constB55) | v125(constB55)))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8430,plain,
% 6.72/4.86 (v113(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8429, 8428, 8408])).
% 6.72/4.86 tff(8431,plain,
% 6.72/4.86 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB55)) <=> v111(constB55))),
% 6.72/4.86 inference(quant_inst,[status(thm)],[])).
% 6.72/4.86 tff(8432,plain,
% 6.72/4.86 ((~v126(constB55)) <=> v111(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8431, 4118])).
% 6.72/4.86 tff(8433,plain,
% 6.72/4.86 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55) | v111(constB55)),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8434,plain,
% 6.72/4.86 ((~((~v126(constB55)) <=> v111(constB55))) | v126(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8433, 2110])).
% 6.72/4.86 tff(8435,plain,
% 6.72/4.86 (v126(constB55)),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8434, 8432])).
% 6.72/4.86 tff(8436,plain,
% 6.72/4.86 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55)) | (~v126(constB55))),
% 6.72/4.86 inference(tautology,[status(thm)],[])).
% 6.72/4.86 tff(8437,plain,
% 6.72/4.86 ((~((~v113(constB55)) | (~v126(constB55)))) | (~v113(constB55))),
% 6.72/4.86 inference(unit_resolution,[status(thm)],[8436, 8435])).
% 6.72/4.86 tff(8438,plain,
% 6.72/4.87 (~((~v113(constB55)) | (~v126(constB55)))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8437, 8430])).
% 6.72/4.87 tff(8439,plain,
% 6.72/4.87 ((~(v112(constB55) <=> (~((~v113(constB55)) | (~v126(constB55)))))) | v112(constB55) | ((~v113(constB55)) | (~v126(constB55)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8440,plain,
% 6.72/4.87 (v112(constB55)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8439, 8438, 8406])).
% 6.72/4.87 tff(8441,plain,
% 6.72/4.87 ((v111(constB55) | v112(constB55)) | (~v112(constB55))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8442,plain,
% 6.72/4.87 (v111(constB55) | v112(constB55)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8441, 8440])).
% 6.72/4.87 tff(8443,plain,
% 6.72/4.87 ((~(v108(constB55) <=> (v111(constB55) | v112(constB55)))) | v108(constB55) | (~(v111(constB55) | v112(constB55)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8444,plain,
% 6.72/4.87 (v108(constB55)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8443, 8442, 8404])).
% 6.72/4.87 tff(8445,plain,
% 6.72/4.87 ((~(v110(constB56) <=> v108(constB55))) | v110(constB56) | (~v108(constB55))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8446,plain,
% 6.72/4.87 (v110(constB56)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8445, 8444, 8402])).
% 6.72/4.87 tff(8447,plain,
% 6.72/4.87 ((~((~v101(constB56)) | (~v110(constB56)))) | (~v101(constB56)) | (~v110(constB56))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8448,plain,
% 6.72/4.87 (~((~v101(constB56)) | (~v110(constB56)))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8447, 8446, 8398])).
% 6.72/4.87 tff(8449,plain,
% 6.72/4.87 ((~(v100(constB56) <=> (~((~v101(constB56)) | (~v110(constB56)))))) | v100(constB56) | ((~v101(constB56)) | (~v110(constB56)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8450,plain,
% 6.72/4.87 (v100(constB56)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8449, 8448, 8370])).
% 6.72/4.87 tff(8451,plain,
% 6.72/4.87 (((~![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)))))),
% 6.72/4.87 inference(rewrite,[status(thm)],[])).
% 6.72/4.87 tff(8452,plain,
% 6.72/4.87 ((~![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)))))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8453,plain,
% 6.72/4.87 ((~![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))))),
% 6.72/4.87 inference(modus_ponens,[status(thm)],[8452, 8451])).
% 6.72/4.87 tff(8454,plain,
% 6.72/4.87 ((~v100(constB56)) | (~(((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0))))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8453, 4151])).
% 6.72/4.87 tff(8455,plain,
% 6.72/4.87 (~(((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0)))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8454, 8450])).
% 6.72/4.87 tff(8456,plain,
% 6.72/4.87 ((((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0))) | (~((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8457,plain,
% 6.72/4.87 (~((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8456, 8455])).
% 6.72/4.87 tff(8458,plain,
% 6.72/4.87 (((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | v90(constB56, bitIndex2) | (~v129(constB56, bitIndex2))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8459,plain,
% 6.72/4.87 (v90(constB56, bitIndex2)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8458, 8457, 8366])).
% 6.72/4.87 tff(8460,plain,
% 6.72/4.87 (((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | v90(constB57, bitIndex2) | (~v90(constB56, bitIndex2))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8461,plain,
% 6.72/4.87 (v90(constB57, bitIndex2)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8460, 8459, 2094])).
% 6.72/4.87 tff(8462,plain,
% 6.72/4.87 ((((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))) | (~((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8463,plain,
% 6.72/4.87 (~((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8462, 2092])).
% 6.72/4.87 tff(8464,plain,
% 6.72/4.87 ((((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0))) | (~((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8465,plain,
% 6.72/4.87 (~((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8464, 2101])).
% 6.72/4.87 tff(8466,plain,
% 6.72/4.87 ((((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1))) | (~((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8467,plain,
% 6.72/4.87 (~((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8466, 2115])).
% 6.72/4.87 tff(8468,plain,
% 6.72/4.87 ((v130(constB55, bitIndex0) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex2))) | (~v130(constB55, bitIndex0))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8469,plain,
% 6.72/4.87 (~v130(constB55, bitIndex0)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8468, 8360])).
% 6.72/4.87 tff(8470,plain,
% 6.72/4.87 (((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)) | (~v127(constB55, bitIndex0)) | v130(constB55, bitIndex0)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8471,plain,
% 6.72/4.87 (~v127(constB55, bitIndex0)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8470, 8469, 8467])).
% 6.72/4.87 tff(8472,plain,
% 6.72/4.87 (((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0)) | (~v129(constB56, bitIndex0)) | v127(constB55, bitIndex0)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8473,plain,
% 6.72/4.87 (~v129(constB56, bitIndex0)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8472, 8471, 8465])).
% 6.72/4.87 tff(8474,plain,
% 6.72/4.87 ((((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0))) | (~((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8475,plain,
% 6.72/4.87 (~((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8474, 8455])).
% 6.72/4.87 tff(8476,plain,
% 6.72/4.87 (((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0)) | (~v90(constB56, bitIndex0)) | v129(constB56, bitIndex0)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8477,plain,
% 6.72/4.87 (~v90(constB56, bitIndex0)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8476, 8475, 8473])).
% 6.72/4.87 tff(8478,plain,
% 6.72/4.87 (((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0)) | (~v90(constB57, bitIndex0)) | v90(constB56, bitIndex0)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8479,plain,
% 6.72/4.87 (~v90(constB57, bitIndex0)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8478, 8477, 8463])).
% 6.72/4.87 tff(8480,plain,
% 6.72/4.87 ((((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | ((~v90(constB57, bitIndex2)) <=> v90(constB56, bitIndex2)) | ((~v90(constB57, bitIndex0)) <=> v90(constB56, bitIndex0))) | (~((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8481,plain,
% 6.72/4.87 (~((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8480, 2092])).
% 6.72/4.87 tff(8482,plain,
% 6.72/4.87 ((((~v129(constB56, bitIndex2)) <=> v127(constB55, bitIndex2)) | ((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | ((~v129(constB56, bitIndex0)) <=> v127(constB55, bitIndex0))) | (~((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8483,plain,
% 6.72/4.87 (~((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8482, 2101])).
% 6.72/4.87 tff(8484,plain,
% 6.72/4.87 ((((~v127(constB55, bitIndex2)) <=> v130(constB55, bitIndex2)) | ((~v127(constB55, bitIndex0)) <=> v130(constB55, bitIndex0)) | ((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1))) | (~((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8485,plain,
% 6.72/4.87 (~((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8484, 2115])).
% 6.72/4.87 tff(8486,plain,
% 6.72/4.87 ((v130(constB55, bitIndex0) | v130(constB55, bitIndex1) | (~v130(constB55, bitIndex2))) | (~v130(constB55, bitIndex1))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8487,plain,
% 6.72/4.87 (~v130(constB55, bitIndex1)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8486, 8360])).
% 6.72/4.87 tff(8488,plain,
% 6.72/4.87 (((~v127(constB55, bitIndex1)) <=> v130(constB55, bitIndex1)) | (~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8489,plain,
% 6.72/4.87 (~v127(constB55, bitIndex1)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8488, 8487, 8485])).
% 6.72/4.87 tff(8490,plain,
% 6.72/4.87 (((~v129(constB56, bitIndex1)) <=> v127(constB55, bitIndex1)) | (~v129(constB56, bitIndex1)) | v127(constB55, bitIndex1)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8491,plain,
% 6.72/4.87 (~v129(constB56, bitIndex1)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8490, 8489, 8483])).
% 6.72/4.87 tff(8492,plain,
% 6.72/4.87 ((((~v90(constB56, bitIndex2)) <=> v129(constB56, bitIndex2)) | ((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | ((~v90(constB56, bitIndex0)) <=> v129(constB56, bitIndex0))) | (~((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8493,plain,
% 6.72/4.87 (~((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8492, 8455])).
% 6.72/4.87 tff(8494,plain,
% 6.72/4.87 (((~v90(constB56, bitIndex1)) <=> v129(constB56, bitIndex1)) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8495,plain,
% 6.72/4.87 (~v90(constB56, bitIndex1)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8494, 8493, 8491])).
% 6.72/4.87 tff(8496,plain,
% 6.72/4.87 (((~v90(constB57, bitIndex1)) <=> v90(constB56, bitIndex1)) | (~v90(constB57, bitIndex1)) | v90(constB56, bitIndex1)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8497,plain,
% 6.72/4.87 (~v90(constB57, bitIndex1)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8496, 8495, 8481])).
% 6.72/4.87 tff(8498,plain,
% 6.72/4.87 ((~(v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2)))) | v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8499,plain,
% 6.72/4.87 (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2)))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8498, 8497, 8479, 8461])).
% 6.72/4.87 tff(8500,plain,
% 6.72/4.87 ((~(v123(constB57) <=> (~(v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2)))))) | v123(constB57) | (v90(constB57, bitIndex1) | v90(constB57, bitIndex0) | (~v90(constB57, bitIndex2)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8501,plain,
% 6.72/4.87 (v123(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8500, 8499, 2058])).
% 6.72/4.87 tff(8502,plain,
% 6.72/4.87 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB57)) | (~(v130(constB57, bitIndex1) | (~v130(constB57, bitIndex2)) | (~v130(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB57)) | (~(v130(constB57, bitIndex1) | (~v130(constB57, bitIndex2)) | (~v130(constB57, bitIndex0)))))),
% 6.72/4.87 inference(rewrite,[status(thm)],[])).
% 6.72/4.87 tff(8503,plain,
% 6.72/4.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB57)) | (~(v130(constB57, bitIndex1) | (~v130(constB57, bitIndex2)) | (~v130(constB57, bitIndex0)))))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8504,plain,
% 6.72/4.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB57)) | (~(v130(constB57, bitIndex1) | (~v130(constB57, bitIndex2)) | (~v130(constB57, bitIndex0))))),
% 6.72/4.87 inference(modus_ponens,[status(thm)],[8503, 8502])).
% 6.72/4.87 tff(8505,plain,
% 6.72/4.87 ((~v123(constB57)) | (~(v130(constB57, bitIndex1) | (~v130(constB57, bitIndex2)) | (~v130(constB57, bitIndex0))))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8504, 4722])).
% 6.72/4.87 tff(8506,plain,
% 6.72/4.87 (~(v130(constB57, bitIndex1) | (~v130(constB57, bitIndex2)) | (~v130(constB57, bitIndex0)))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8505, 8501])).
% 6.72/4.87 tff(8507,plain,
% 6.72/4.87 ((v130(constB57, bitIndex1) | (~v130(constB57, bitIndex2)) | (~v130(constB57, bitIndex0))) | v130(constB57, bitIndex2)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8508,plain,
% 6.72/4.87 (v130(constB57, bitIndex2)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8507, 8506])).
% 6.72/4.87 tff(8509,plain,
% 6.72/4.87 (((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | v127(constB57, bitIndex2) | (~v130(constB57, bitIndex2))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8510,plain,
% 6.72/4.87 (v127(constB57, bitIndex2)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8509, 8508, 2051])).
% 6.72/4.87 tff(8511,plain,
% 6.72/4.87 (((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | v129(constB58, bitIndex2) | (~v127(constB57, bitIndex2))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8512,plain,
% 6.72/4.87 (v129(constB58, bitIndex2)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8511, 8510, 2037])).
% 6.72/4.87 tff(8513,plain,
% 6.72/4.87 (((~![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))))))),
% 6.72/4.87 inference(rewrite,[status(thm)],[])).
% 6.72/4.87 tff(8514,plain,
% 6.72/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8515,plain,
% 6.72/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB57, constB58)) | (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))),
% 6.72/4.87 inference(modus_ponens,[status(thm)],[8514, 8513])).
% 6.72/4.87 tff(8516,plain,
% 6.72/4.87 (v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58))))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8515, 2031, 433])).
% 6.72/4.87 tff(8517,plain,
% 6.72/4.87 (((~![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))))))),
% 6.72/4.87 inference(rewrite,[status(thm)],[])).
% 6.72/4.87 tff(8518,plain,
% 6.72/4.87 (((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58)))))) <=> ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))))),
% 6.72/4.87 inference(rewrite,[status(thm)],[])).
% 6.72/4.87 tff(8519,plain,
% 6.72/4.87 (((~![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)))))))),
% 6.72/4.87 inference(monotonicity,[status(thm)],[8518])).
% 6.72/4.87 tff(8520,plain,
% 6.72/4.87 (((~![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))))))),
% 6.72/4.87 inference(transitivity,[status(thm)],[8519, 8517])).
% 6.72/4.87 tff(8521,plain,
% 6.72/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v102(constB58)) | (~v1(constB58))))))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8522,plain,
% 6.72/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))),
% 6.72/4.87 inference(modus_ponens,[status(thm)],[8521, 8520])).
% 6.72/4.87 tff(8523,plain,
% 6.72/4.87 (v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58))))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8522, 2031, 453])).
% 6.72/4.87 tff(8524,plain,
% 6.72/4.87 (((~![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)))),
% 6.72/4.87 inference(rewrite,[status(thm)],[])).
% 6.72/4.87 tff(8525,plain,
% 6.72/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58)))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8526,plain,
% 6.72/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB57, constB58)) | ((~v102(constB58)) <=> v104(constB58))),
% 6.72/4.87 inference(modus_ponens,[status(thm)],[8525, 8524])).
% 6.72/4.87 tff(8527,plain,
% 6.72/4.87 ((~v102(constB58)) <=> v104(constB58)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8526, 2031, 3966])).
% 6.72/4.87 tff(8528,plain,
% 6.72/4.87 (((~![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)))),
% 6.72/4.87 inference(rewrite,[status(thm)],[])).
% 6.72/4.87 tff(8529,plain,
% 6.72/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57)))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8530,plain,
% 6.72/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v1(constB57))),
% 6.72/4.87 inference(modus_ponens,[status(thm)],[8529, 8528])).
% 6.72/4.87 tff(8531,plain,
% 6.72/4.87 (v104(constB58) <=> v1(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8530, 2031, 3980])).
% 6.72/4.87 tff(8532,plain,
% 6.72/4.87 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58)) | v1(constB57)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8533,plain,
% 6.72/4.87 ((~(v104(constB58) <=> v1(constB57))) | (~v104(constB58))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8532, 2075])).
% 6.72/4.87 tff(8534,plain,
% 6.72/4.87 (~v104(constB58)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8533, 8531])).
% 6.72/4.87 tff(8535,plain,
% 6.72/4.87 ((~((~v102(constB58)) <=> v104(constB58))) | v102(constB58) | v104(constB58)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8536,plain,
% 6.72/4.87 (v102(constB58)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8535, 8534, 8527])).
% 6.72/4.87 tff(8537,plain,
% 6.72/4.87 (v1(constB58) <=> v1(constB58)),
% 6.72/4.87 inference(rewrite,[status(thm)],[])).
% 6.72/4.87 tff(8538,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58')).
% 6.72/4.87 tff(8539,plain,
% 6.72/4.87 (v1(constB58)),
% 6.72/4.87 inference(modus_ponens,[status(thm)],[8538, 8537])).
% 6.72/4.87 tff(8540,plain,
% 6.72/4.87 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v1(constB58)) | (~v102(constB58))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8541,plain,
% 6.72/4.87 ((~((~v1(constB58)) | (~v102(constB58)))) | (~v102(constB58))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8540, 8539])).
% 6.72/4.87 tff(8542,plain,
% 6.72/4.87 (~((~v1(constB58)) | (~v102(constB58)))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8541, 8536])).
% 6.72/4.87 tff(8543,plain,
% 6.72/4.87 ((~(v101(constB58) <=> (~((~v1(constB58)) | (~v102(constB58)))))) | v101(constB58) | ((~v1(constB58)) | (~v102(constB58)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8544,plain,
% 6.72/4.87 (v101(constB58)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8543, 8542, 8523])).
% 6.72/4.87 tff(8545,plain,
% 6.72/4.87 (((~![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)))),
% 6.72/4.87 inference(rewrite,[status(thm)],[])).
% 6.72/4.87 tff(8546,plain,
% 6.72/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57)))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8547,plain,
% 6.72/4.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB57, constB58)) | (v110(constB58) <=> v108(constB57))),
% 6.72/4.87 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 6.72/4.87 tff(8548,plain,
% 6.72/4.87 (v110(constB58) <=> v108(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8547, 2031, 4007])).
% 6.72/4.87 tff(8549,plain,
% 6.72/4.87 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB57) <=> (v111(constB57) | v112(constB57)))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8550,plain,
% 6.72/4.87 (v108(constB57) <=> (v111(constB57) | v112(constB57))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8549, 4018])).
% 6.72/4.87 tff(8551,plain,
% 6.72/4.87 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8552,plain,
% 6.72/4.87 (v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57))))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8551, 4030])).
% 6.72/4.87 tff(8553,plain,
% 6.72/4.87 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB57) <=> (v114(constB57) | v125(constB57)))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8554,plain,
% 6.72/4.87 (v113(constB57) <=> (v114(constB57) | v125(constB57))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8553, 4039])).
% 6.72/4.87 tff(8555,plain,
% 6.72/4.87 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB57) <=> (v115(constB57) | v124(constB57)))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8556,plain,
% 6.72/4.87 (v114(constB57) <=> (v115(constB57) | v124(constB57))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8555, 4048])).
% 6.72/4.87 tff(8557,plain,
% 6.72/4.87 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB57) <=> (v116(constB57) | v123(constB57)))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8558,plain,
% 6.72/4.87 (v115(constB57) <=> (v116(constB57) | v123(constB57))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8557, 4057])).
% 6.72/4.87 tff(8559,plain,
% 6.72/4.87 ((v116(constB57) | v123(constB57)) | (~v123(constB57))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8560,plain,
% 6.72/4.87 (v116(constB57) | v123(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8559, 8501])).
% 6.72/4.87 tff(8561,plain,
% 6.72/4.87 ((~(v115(constB57) <=> (v116(constB57) | v123(constB57)))) | v115(constB57) | (~(v116(constB57) | v123(constB57)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8562,plain,
% 6.72/4.87 (v115(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8561, 8560, 8558])).
% 6.72/4.87 tff(8563,plain,
% 6.72/4.87 ((v115(constB57) | v124(constB57)) | (~v115(constB57))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8564,plain,
% 6.72/4.87 (v115(constB57) | v124(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8563, 8562])).
% 6.72/4.87 tff(8565,plain,
% 6.72/4.87 ((~(v114(constB57) <=> (v115(constB57) | v124(constB57)))) | v114(constB57) | (~(v115(constB57) | v124(constB57)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8566,plain,
% 6.72/4.87 (v114(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8565, 8564, 8556])).
% 6.72/4.87 tff(8567,plain,
% 6.72/4.87 ((v114(constB57) | v125(constB57)) | (~v114(constB57))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8568,plain,
% 6.72/4.87 (v114(constB57) | v125(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8567, 8566])).
% 6.72/4.87 tff(8569,plain,
% 6.72/4.87 ((~(v113(constB57) <=> (v114(constB57) | v125(constB57)))) | v113(constB57) | (~(v114(constB57) | v125(constB57)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8570,plain,
% 6.72/4.87 (v113(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8569, 8568, 8554])).
% 6.72/4.87 tff(8571,plain,
% 6.72/4.87 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB57)) <=> v111(constB57))),
% 6.72/4.87 inference(quant_inst,[status(thm)],[])).
% 6.72/4.87 tff(8572,plain,
% 6.72/4.87 ((~v126(constB57)) <=> v111(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8571, 4118])).
% 6.72/4.87 tff(8573,plain,
% 6.72/4.87 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57) | v111(constB57)),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8574,plain,
% 6.72/4.87 ((~((~v126(constB57)) <=> v111(constB57))) | v126(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8573, 2044])).
% 6.72/4.87 tff(8575,plain,
% 6.72/4.87 (v126(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8574, 8572])).
% 6.72/4.87 tff(8576,plain,
% 6.72/4.87 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57)) | (~v126(constB57))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8577,plain,
% 6.72/4.87 ((~((~v113(constB57)) | (~v126(constB57)))) | (~v113(constB57))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8576, 8575])).
% 6.72/4.87 tff(8578,plain,
% 6.72/4.87 (~((~v113(constB57)) | (~v126(constB57)))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8577, 8570])).
% 6.72/4.87 tff(8579,plain,
% 6.72/4.87 ((~(v112(constB57) <=> (~((~v113(constB57)) | (~v126(constB57)))))) | v112(constB57) | ((~v113(constB57)) | (~v126(constB57)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8580,plain,
% 6.72/4.87 (v112(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8579, 8578, 8552])).
% 6.72/4.87 tff(8581,plain,
% 6.72/4.87 ((v111(constB57) | v112(constB57)) | (~v112(constB57))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8582,plain,
% 6.72/4.87 (v111(constB57) | v112(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8581, 8580])).
% 6.72/4.87 tff(8583,plain,
% 6.72/4.87 ((~(v108(constB57) <=> (v111(constB57) | v112(constB57)))) | v108(constB57) | (~(v111(constB57) | v112(constB57)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8584,plain,
% 6.72/4.87 (v108(constB57)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8583, 8582, 8550])).
% 6.72/4.87 tff(8585,plain,
% 6.72/4.87 ((~(v110(constB58) <=> v108(constB57))) | v110(constB58) | (~v108(constB57))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8586,plain,
% 6.72/4.87 (v110(constB58)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8585, 8584, 8548])).
% 6.72/4.87 tff(8587,plain,
% 6.72/4.87 ((~((~v101(constB58)) | (~v110(constB58)))) | (~v101(constB58)) | (~v110(constB58))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8588,plain,
% 6.72/4.87 (~((~v101(constB58)) | (~v110(constB58)))),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8587, 8586, 8544])).
% 6.72/4.87 tff(8589,plain,
% 6.72/4.87 ((~(v100(constB58) <=> (~((~v101(constB58)) | (~v110(constB58)))))) | v100(constB58) | ((~v101(constB58)) | (~v110(constB58)))),
% 6.72/4.87 inference(tautology,[status(thm)],[])).
% 6.72/4.87 tff(8590,plain,
% 6.72/4.87 (v100(constB58)),
% 6.72/4.87 inference(unit_resolution,[status(thm)],[8589, 8588, 8516])).
% 6.72/4.87 tff(8591,plain,
% 6.72/4.87 (((~![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)))))),
% 6.72/4.87 inference(rewrite,[status(thm)],[])).
% 6.72/4.87 tff(8592,plain,
% 6.72/4.87 (((~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)))))),
% 6.72/4.87 inference(rewrite,[status(thm)],[])).
% 6.72/4.87 tff(8593,plain,
% 6.72/4.87 (((~![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))))))),
% 6.72/4.87 inference(monotonicity,[status(thm)],[8592])).
% 6.72/4.87 tff(8594,plain,
% 6.72/4.87 (((~![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)))))),
% 6.76/4.88 inference(transitivity,[status(thm)],[8593, 8591])).
% 6.76/4.88 tff(8595,plain,
% 6.76/4.88 ((~![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)))))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8596,plain,
% 6.76/4.88 ((~![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))))),
% 6.76/4.88 inference(modus_ponens,[status(thm)],[8595, 8594])).
% 6.76/4.88 tff(8597,plain,
% 6.76/4.88 ((~v100(constB58)) | (~(((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8596, 4151])).
% 6.76/4.88 tff(8598,plain,
% 6.76/4.88 (~(((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8597, 8590])).
% 6.76/4.88 tff(8599,plain,
% 6.76/4.88 ((((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))) | (~((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8600,plain,
% 6.76/4.88 (~((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8599, 8598])).
% 6.76/4.88 tff(8601,plain,
% 6.76/4.88 (((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | v90(constB58, bitIndex2) | (~v129(constB58, bitIndex2))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8602,plain,
% 6.76/4.88 (v90(constB58, bitIndex2)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8601, 8600, 8512])).
% 6.76/4.88 tff(8603,plain,
% 6.76/4.88 (((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | v90(constB59, bitIndex2) | (~v90(constB58, bitIndex2))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8604,plain,
% 6.76/4.88 (v90(constB59, bitIndex2)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8603, 8602, 2028])).
% 6.76/4.88 tff(8605,plain,
% 6.76/4.88 ((((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))) | (~((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8606,plain,
% 6.76/4.88 (~((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8605, 2026])).
% 6.76/4.88 tff(8607,plain,
% 6.76/4.88 ((((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0))) | (~((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8608,plain,
% 6.76/4.88 (~((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8607, 2035])).
% 6.76/4.88 tff(8609,plain,
% 6.76/4.88 ((((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1))) | (~((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8610,plain,
% 6.76/4.88 (~((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8609, 2049])).
% 6.76/4.88 tff(8611,plain,
% 6.76/4.88 ((v130(constB57, bitIndex1) | (~v130(constB57, bitIndex2)) | (~v130(constB57, bitIndex0))) | v130(constB57, bitIndex0)),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8612,plain,
% 6.76/4.88 (v130(constB57, bitIndex0)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8611, 8506])).
% 6.76/4.88 tff(8613,plain,
% 6.76/4.88 (((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)) | v127(constB57, bitIndex0) | (~v130(constB57, bitIndex0))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8614,plain,
% 6.76/4.88 (v127(constB57, bitIndex0)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8613, 8612, 8610])).
% 6.76/4.88 tff(8615,plain,
% 6.76/4.88 (((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0)) | v129(constB58, bitIndex0) | (~v127(constB57, bitIndex0))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8616,plain,
% 6.76/4.88 (v129(constB58, bitIndex0)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8615, 8614, 8608])).
% 6.76/4.88 tff(8617,plain,
% 6.76/4.88 ((((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))) | (~((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8618,plain,
% 6.76/4.88 (~((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8617, 8598])).
% 6.76/4.88 tff(8619,plain,
% 6.76/4.88 (((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | v90(constB58, bitIndex0) | (~v129(constB58, bitIndex0))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8620,plain,
% 6.76/4.88 (v90(constB58, bitIndex0)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8619, 8618, 8616])).
% 6.76/4.88 tff(8621,plain,
% 6.76/4.88 (((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0)) | v90(constB59, bitIndex0) | (~v90(constB58, bitIndex0))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8622,plain,
% 6.76/4.88 (v90(constB59, bitIndex0)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8621, 8620, 8606])).
% 6.76/4.88 tff(8623,plain,
% 6.76/4.88 ((((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | ((~v90(constB59, bitIndex2)) <=> v90(constB58, bitIndex2)) | ((~v90(constB59, bitIndex0)) <=> v90(constB58, bitIndex0))) | (~((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8624,plain,
% 6.76/4.88 (~((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8623, 2026])).
% 6.76/4.88 tff(8625,plain,
% 6.76/4.88 ((((~v129(constB58, bitIndex2)) <=> v127(constB57, bitIndex2)) | ((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | ((~v129(constB58, bitIndex0)) <=> v127(constB57, bitIndex0))) | (~((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8626,plain,
% 6.76/4.88 (~((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8625, 2035])).
% 6.76/4.88 tff(8627,plain,
% 6.76/4.88 ((((~v127(constB57, bitIndex2)) <=> v130(constB57, bitIndex2)) | ((~v127(constB57, bitIndex0)) <=> v130(constB57, bitIndex0)) | ((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1))) | (~((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8628,plain,
% 6.76/4.88 (~((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8627, 2049])).
% 6.76/4.88 tff(8629,plain,
% 6.76/4.88 ((v130(constB57, bitIndex1) | (~v130(constB57, bitIndex2)) | (~v130(constB57, bitIndex0))) | (~v130(constB57, bitIndex1))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8630,plain,
% 6.76/4.88 (~v130(constB57, bitIndex1)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8629, 8506])).
% 6.76/4.88 tff(8631,plain,
% 6.76/4.88 (((~v127(constB57, bitIndex1)) <=> v130(constB57, bitIndex1)) | (~v127(constB57, bitIndex1)) | v130(constB57, bitIndex1)),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8632,plain,
% 6.76/4.88 (~v127(constB57, bitIndex1)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8631, 8630, 8628])).
% 6.76/4.88 tff(8633,plain,
% 6.76/4.88 (((~v129(constB58, bitIndex1)) <=> v127(constB57, bitIndex1)) | (~v129(constB58, bitIndex1)) | v127(constB57, bitIndex1)),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8634,plain,
% 6.76/4.88 (~v129(constB58, bitIndex1)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8633, 8632, 8626])).
% 6.76/4.88 tff(8635,plain,
% 6.76/4.88 ((((~v90(constB58, bitIndex0)) <=> v129(constB58, bitIndex0)) | ((~v90(constB58, bitIndex2)) <=> v129(constB58, bitIndex2)) | ((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))) | (~((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8636,plain,
% 6.76/4.88 (~((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8635, 8598])).
% 6.76/4.88 tff(8637,plain,
% 6.76/4.88 (((~v90(constB58, bitIndex1)) <=> v129(constB58, bitIndex1)) | (~v90(constB58, bitIndex1)) | v129(constB58, bitIndex1)),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8638,plain,
% 6.76/4.88 (~v90(constB58, bitIndex1)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8637, 8636, 8634])).
% 6.76/4.88 tff(8639,plain,
% 6.76/4.88 (((~v90(constB59, bitIndex1)) <=> v90(constB58, bitIndex1)) | (~v90(constB59, bitIndex1)) | v90(constB58, bitIndex1)),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8640,plain,
% 6.76/4.88 (~v90(constB59, bitIndex1)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8639, 8638, 8624])).
% 6.76/4.88 tff(8641,plain,
% 6.76/4.88 ((~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0)))) | v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8642,plain,
% 6.76/4.88 (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0)))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8641, 8640, 8622, 8604])).
% 6.76/4.88 tff(8643,plain,
% 6.76/4.88 ((~(v124(constB59) <=> (~(v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0)))))) | v124(constB59) | (v90(constB59, bitIndex1) | (~v90(constB59, bitIndex2)) | (~v90(constB59, bitIndex0)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8644,plain,
% 6.76/4.88 (v124(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8643, 8642, 1992])).
% 6.76/4.88 tff(8645,plain,
% 6.76/4.88 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB59)) | (~(v130(constB59, bitIndex0) | (~v130(constB59, bitIndex2)) | (~v130(constB59, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB59)) | (~(v130(constB59, bitIndex0) | (~v130(constB59, bitIndex2)) | (~v130(constB59, bitIndex1)))))),
% 6.76/4.88 inference(rewrite,[status(thm)],[])).
% 6.76/4.88 tff(8646,plain,
% 6.76/4.88 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB59)) | (~(v130(constB59, bitIndex0) | (~v130(constB59, bitIndex2)) | (~v130(constB59, bitIndex1)))))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8647,plain,
% 6.76/4.88 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB59)) | (~(v130(constB59, bitIndex0) | (~v130(constB59, bitIndex2)) | (~v130(constB59, bitIndex1))))),
% 6.76/4.88 inference(modus_ponens,[status(thm)],[8646, 8645])).
% 6.76/4.88 tff(8648,plain,
% 6.76/4.88 ((~v124(constB59)) | (~(v130(constB59, bitIndex0) | (~v130(constB59, bitIndex2)) | (~v130(constB59, bitIndex1))))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8647, 4878])).
% 6.76/4.88 tff(8649,plain,
% 6.76/4.88 (~(v130(constB59, bitIndex0) | (~v130(constB59, bitIndex2)) | (~v130(constB59, bitIndex1)))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8648, 8644])).
% 6.76/4.88 tff(8650,plain,
% 6.76/4.88 ((v130(constB59, bitIndex0) | (~v130(constB59, bitIndex2)) | (~v130(constB59, bitIndex1))) | v130(constB59, bitIndex2)),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8651,plain,
% 6.76/4.88 (v130(constB59, bitIndex2)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8650, 8649])).
% 6.76/4.88 tff(8652,plain,
% 6.76/4.88 (((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | v127(constB59, bitIndex2) | (~v130(constB59, bitIndex2))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8653,plain,
% 6.76/4.88 (v127(constB59, bitIndex2)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8652, 8651, 1985])).
% 6.76/4.88 tff(8654,plain,
% 6.76/4.88 (((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | v129(constB60, bitIndex2) | (~v127(constB59, bitIndex2))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8655,plain,
% 6.76/4.88 (v129(constB60, bitIndex2)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8654, 8653, 1971])).
% 6.76/4.88 tff(8656,plain,
% 6.76/4.88 (((~![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))))))),
% 6.76/4.88 inference(rewrite,[status(thm)],[])).
% 6.76/4.88 tff(8657,plain,
% 6.76/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8658,plain,
% 6.76/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB59, constB60)) | (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))),
% 6.76/4.88 inference(modus_ponens,[status(thm)],[8657, 8656])).
% 6.76/4.88 tff(8659,plain,
% 6.76/4.88 (v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60))))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8658, 1965, 433])).
% 6.76/4.88 tff(8660,plain,
% 6.76/4.88 (((~![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))))))),
% 6.76/4.88 inference(rewrite,[status(thm)],[])).
% 6.76/4.88 tff(8661,plain,
% 6.76/4.88 (((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60)))))) <=> ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))))),
% 6.76/4.88 inference(rewrite,[status(thm)],[])).
% 6.76/4.88 tff(8662,plain,
% 6.76/4.88 (((~![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)))))))),
% 6.76/4.88 inference(monotonicity,[status(thm)],[8661])).
% 6.76/4.88 tff(8663,plain,
% 6.76/4.88 (((~![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))))))),
% 6.76/4.88 inference(transitivity,[status(thm)],[8662, 8660])).
% 6.76/4.88 tff(8664,plain,
% 6.76/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v102(constB60)) | (~v1(constB60))))))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8665,plain,
% 6.76/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))),
% 6.76/4.88 inference(modus_ponens,[status(thm)],[8664, 8663])).
% 6.76/4.88 tff(8666,plain,
% 6.76/4.88 (v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60))))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8665, 1965, 453])).
% 6.76/4.88 tff(8667,plain,
% 6.76/4.88 (((~![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)))),
% 6.76/4.88 inference(rewrite,[status(thm)],[])).
% 6.76/4.88 tff(8668,plain,
% 6.76/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60)))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8669,plain,
% 6.76/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB59, constB60)) | ((~v102(constB60)) <=> v104(constB60))),
% 6.76/4.88 inference(modus_ponens,[status(thm)],[8668, 8667])).
% 6.76/4.88 tff(8670,plain,
% 6.76/4.88 ((~v102(constB60)) <=> v104(constB60)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8669, 1965, 3966])).
% 6.76/4.88 tff(8671,plain,
% 6.76/4.88 (((~![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)))),
% 6.76/4.88 inference(rewrite,[status(thm)],[])).
% 6.76/4.88 tff(8672,plain,
% 6.76/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59)))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8673,plain,
% 6.76/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v1(constB59))),
% 6.76/4.88 inference(modus_ponens,[status(thm)],[8672, 8671])).
% 6.76/4.88 tff(8674,plain,
% 6.76/4.88 (v104(constB60) <=> v1(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8673, 1965, 3980])).
% 6.76/4.88 tff(8675,plain,
% 6.76/4.88 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60)) | v1(constB59)),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8676,plain,
% 6.76/4.88 ((~(v104(constB60) <=> v1(constB59))) | (~v104(constB60))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8675, 2009])).
% 6.76/4.88 tff(8677,plain,
% 6.76/4.88 (~v104(constB60)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8676, 8674])).
% 6.76/4.88 tff(8678,plain,
% 6.76/4.88 ((~((~v102(constB60)) <=> v104(constB60))) | v102(constB60) | v104(constB60)),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8679,plain,
% 6.76/4.88 (v102(constB60)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8678, 8677, 8670])).
% 6.76/4.88 tff(8680,plain,
% 6.76/4.88 (v1(constB60) <=> v1(constB60)),
% 6.76/4.88 inference(rewrite,[status(thm)],[])).
% 6.76/4.88 tff(8681,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60')).
% 6.76/4.88 tff(8682,plain,
% 6.76/4.88 (v1(constB60)),
% 6.76/4.88 inference(modus_ponens,[status(thm)],[8681, 8680])).
% 6.76/4.88 tff(8683,plain,
% 6.76/4.88 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v1(constB60)) | (~v102(constB60))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8684,plain,
% 6.76/4.88 ((~((~v1(constB60)) | (~v102(constB60)))) | (~v102(constB60))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8683, 8682])).
% 6.76/4.88 tff(8685,plain,
% 6.76/4.88 (~((~v1(constB60)) | (~v102(constB60)))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8684, 8679])).
% 6.76/4.88 tff(8686,plain,
% 6.76/4.88 ((~(v101(constB60) <=> (~((~v1(constB60)) | (~v102(constB60)))))) | v101(constB60) | ((~v1(constB60)) | (~v102(constB60)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8687,plain,
% 6.76/4.88 (v101(constB60)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8686, 8685, 8666])).
% 6.76/4.88 tff(8688,plain,
% 6.76/4.88 (((~![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)))),
% 6.76/4.88 inference(rewrite,[status(thm)],[])).
% 6.76/4.88 tff(8689,plain,
% 6.76/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59)))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8690,plain,
% 6.76/4.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB59, constB60)) | (v110(constB60) <=> v108(constB59))),
% 6.76/4.88 inference(modus_ponens,[status(thm)],[8689, 8688])).
% 6.76/4.88 tff(8691,plain,
% 6.76/4.88 (v110(constB60) <=> v108(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8690, 1965, 4007])).
% 6.76/4.88 tff(8692,plain,
% 6.76/4.88 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB59) <=> (v111(constB59) | v112(constB59)))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8693,plain,
% 6.76/4.88 (v108(constB59) <=> (v111(constB59) | v112(constB59))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8692, 4018])).
% 6.76/4.88 tff(8694,plain,
% 6.76/4.88 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8695,plain,
% 6.76/4.88 (v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59))))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8694, 4030])).
% 6.76/4.88 tff(8696,plain,
% 6.76/4.88 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB59) <=> (v114(constB59) | v125(constB59)))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8697,plain,
% 6.76/4.88 (v113(constB59) <=> (v114(constB59) | v125(constB59))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8696, 4039])).
% 6.76/4.88 tff(8698,plain,
% 6.76/4.88 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB59) <=> (v115(constB59) | v124(constB59)))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8699,plain,
% 6.76/4.88 (v114(constB59) <=> (v115(constB59) | v124(constB59))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8698, 4048])).
% 6.76/4.88 tff(8700,plain,
% 6.76/4.88 ((v115(constB59) | v124(constB59)) | (~v124(constB59))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8701,plain,
% 6.76/4.88 (v115(constB59) | v124(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8700, 8644])).
% 6.76/4.88 tff(8702,plain,
% 6.76/4.88 ((~(v114(constB59) <=> (v115(constB59) | v124(constB59)))) | v114(constB59) | (~(v115(constB59) | v124(constB59)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8703,plain,
% 6.76/4.88 (v114(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8702, 8701, 8699])).
% 6.76/4.88 tff(8704,plain,
% 6.76/4.88 ((v114(constB59) | v125(constB59)) | (~v114(constB59))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8705,plain,
% 6.76/4.88 (v114(constB59) | v125(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8704, 8703])).
% 6.76/4.88 tff(8706,plain,
% 6.76/4.88 ((~(v113(constB59) <=> (v114(constB59) | v125(constB59)))) | v113(constB59) | (~(v114(constB59) | v125(constB59)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8707,plain,
% 6.76/4.88 (v113(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8706, 8705, 8697])).
% 6.76/4.88 tff(8708,plain,
% 6.76/4.88 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB59)) <=> v111(constB59))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8709,plain,
% 6.76/4.88 ((~v126(constB59)) <=> v111(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8708, 4118])).
% 6.76/4.88 tff(8710,plain,
% 6.76/4.88 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59) | v111(constB59)),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8711,plain,
% 6.76/4.88 ((~((~v126(constB59)) <=> v111(constB59))) | v126(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8710, 1978])).
% 6.76/4.88 tff(8712,plain,
% 6.76/4.88 (v126(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8711, 8709])).
% 6.76/4.88 tff(8713,plain,
% 6.76/4.88 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59)) | (~v126(constB59))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8714,plain,
% 6.76/4.88 ((~((~v113(constB59)) | (~v126(constB59)))) | (~v113(constB59))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8713, 8712])).
% 6.76/4.88 tff(8715,plain,
% 6.76/4.88 (~((~v113(constB59)) | (~v126(constB59)))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8714, 8707])).
% 6.76/4.88 tff(8716,plain,
% 6.76/4.88 ((~(v112(constB59) <=> (~((~v113(constB59)) | (~v126(constB59)))))) | v112(constB59) | ((~v113(constB59)) | (~v126(constB59)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8717,plain,
% 6.76/4.88 (v112(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8716, 8715, 8695])).
% 6.76/4.88 tff(8718,plain,
% 6.76/4.88 ((v111(constB59) | v112(constB59)) | (~v112(constB59))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8719,plain,
% 6.76/4.88 (v111(constB59) | v112(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8718, 8717])).
% 6.76/4.88 tff(8720,plain,
% 6.76/4.88 ((~(v108(constB59) <=> (v111(constB59) | v112(constB59)))) | v108(constB59) | (~(v111(constB59) | v112(constB59)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8721,plain,
% 6.76/4.88 (v108(constB59)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8720, 8719, 8693])).
% 6.76/4.88 tff(8722,plain,
% 6.76/4.88 ((~(v110(constB60) <=> v108(constB59))) | v110(constB60) | (~v108(constB59))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8723,plain,
% 6.76/4.88 (v110(constB60)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8722, 8721, 8691])).
% 6.76/4.88 tff(8724,plain,
% 6.76/4.88 ((~((~v101(constB60)) | (~v110(constB60)))) | (~v101(constB60)) | (~v110(constB60))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8725,plain,
% 6.76/4.88 (~((~v101(constB60)) | (~v110(constB60)))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8724, 8723, 8687])).
% 6.76/4.88 tff(8726,plain,
% 6.76/4.88 ((~(v100(constB60) <=> (~((~v101(constB60)) | (~v110(constB60)))))) | v100(constB60) | ((~v101(constB60)) | (~v110(constB60)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8727,plain,
% 6.76/4.88 (v100(constB60)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8726, 8725, 8659])).
% 6.76/4.88 tff(8728,plain,
% 6.76/4.88 (((~![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)))))),
% 6.76/4.88 inference(rewrite,[status(thm)],[])).
% 6.76/4.88 tff(8729,plain,
% 6.76/4.88 ((~![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)))))),
% 6.76/4.88 inference(quant_inst,[status(thm)],[])).
% 6.76/4.88 tff(8730,plain,
% 6.76/4.88 ((~![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))))),
% 6.76/4.88 inference(modus_ponens,[status(thm)],[8729, 8728])).
% 6.76/4.88 tff(8731,plain,
% 6.76/4.88 ((~v100(constB60)) | (~(((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0))))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8730, 4151])).
% 6.76/4.88 tff(8732,plain,
% 6.76/4.88 (~(((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0)))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8731, 8727])).
% 6.76/4.88 tff(8733,plain,
% 6.76/4.88 ((((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0))) | (~((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8734,plain,
% 6.76/4.88 (~((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2))),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8733, 8732])).
% 6.76/4.88 tff(8735,plain,
% 6.76/4.88 (((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | v90(constB60, bitIndex2) | (~v129(constB60, bitIndex2))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8736,plain,
% 6.76/4.88 (v90(constB60, bitIndex2)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8735, 8734, 8655])).
% 6.76/4.88 tff(8737,plain,
% 6.76/4.88 (((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | v90(constB61, bitIndex2) | (~v90(constB60, bitIndex2))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8738,plain,
% 6.76/4.88 (v90(constB61, bitIndex2)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8737, 8736, 1962])).
% 6.76/4.88 tff(8739,plain,
% 6.76/4.88 ((v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex2))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8740,plain,
% 6.76/4.88 (v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8739, 8738])).
% 6.76/4.88 tff(8741,plain,
% 6.76/4.88 ((~(v119(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2))))) | (~v119(constB61)) | (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | v90(constB61, bitIndex2)))),
% 6.76/4.88 inference(tautology,[status(thm)],[])).
% 6.76/4.88 tff(8742,plain,
% 6.76/4.88 (~v119(constB61)),
% 6.76/4.88 inference(unit_resolution,[status(thm)],[8741, 8740, 1926])).
% 6.76/4.88 tff(8743,plain,
% 6.76/4.88 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex0))))))),
% 6.76/4.88 inference(rewrite,[status(thm)],[])).
% 6.76/4.88 tff(8744,plain,
% 6.76/4.88 ((v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2))))) <=> (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex0)))))),
% 6.76/4.88 inference(rewrite,[status(thm)],[])).
% 6.76/4.88 tff(8745,plain,
% 6.76/4.88 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex0))))))),
% 6.76/4.88 inference(monotonicity,[status(thm)],[8744])).
% 6.76/4.89 tff(8746,plain,
% 6.76/4.89 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex0))))))),
% 6.76/4.89 inference(transitivity,[status(thm)],[8745, 8743])).
% 6.76/4.89 tff(8747,plain,
% 6.76/4.89 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex2)))))),
% 6.76/4.89 inference(quant_inst,[status(thm)],[])).
% 6.76/4.89 tff(8748,plain,
% 6.76/4.89 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex0)))))),
% 6.76/4.89 inference(modus_ponens,[status(thm)],[8747, 8746])).
% 6.76/4.89 tff(8749,plain,
% 6.76/4.89 (v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex0))))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8748, 801])).
% 6.76/4.89 tff(8750,plain,
% 6.76/4.89 ((((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))) | (~((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8751,plain,
% 6.76/4.89 (~((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8750, 1960])).
% 6.76/4.89 tff(8752,plain,
% 6.76/4.89 ((((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0))) | (~((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8753,plain,
% 6.76/4.89 (~((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8752, 1969])).
% 6.76/4.89 tff(8754,plain,
% 6.76/4.89 ((((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1))) | (~((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8755,plain,
% 6.76/4.89 (~((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8754, 1983])).
% 6.76/4.89 tff(8756,plain,
% 6.76/4.89 ((v130(constB59, bitIndex0) | (~v130(constB59, bitIndex2)) | (~v130(constB59, bitIndex1))) | v130(constB59, bitIndex1)),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8757,plain,
% 6.76/4.89 (v130(constB59, bitIndex1)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8756, 8649])).
% 6.76/4.89 tff(8758,plain,
% 6.76/4.89 (((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1)) | v127(constB59, bitIndex1) | (~v130(constB59, bitIndex1))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8759,plain,
% 6.76/4.89 (v127(constB59, bitIndex1)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8758, 8757, 8755])).
% 6.76/4.89 tff(8760,plain,
% 6.76/4.89 (((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | v129(constB60, bitIndex1) | (~v127(constB59, bitIndex1))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8761,plain,
% 6.76/4.89 (v129(constB60, bitIndex1)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8760, 8759, 8753])).
% 6.76/4.89 tff(8762,plain,
% 6.76/4.89 ((((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0))) | (~((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8763,plain,
% 6.76/4.89 (~((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8762, 8732])).
% 6.76/4.89 tff(8764,plain,
% 6.76/4.89 (((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8765,plain,
% 6.76/4.89 (v90(constB60, bitIndex1)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8764, 8763, 8761])).
% 6.76/4.89 tff(8766,plain,
% 6.76/4.89 (((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | v90(constB61, bitIndex1) | (~v90(constB60, bitIndex1))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8767,plain,
% 6.76/4.89 (v90(constB61, bitIndex1)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8766, 8765, 8751])).
% 6.76/4.89 tff(8768,plain,
% 6.76/4.89 ((v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex0))) | (~v90(constB61, bitIndex1))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8769,plain,
% 6.76/4.89 (v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex0))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8768, 8767])).
% 6.76/4.89 tff(8770,plain,
% 6.76/4.89 ((~(v124(constB61) <=> (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex0)))))) | (~v124(constB61)) | (~(v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)) | (~v90(constB61, bitIndex0))))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8771,plain,
% 6.76/4.89 (~v124(constB61)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8770, 8769, 8749])).
% 6.76/4.89 tff(8772,plain,
% 6.76/4.89 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2))))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8773,plain,
% 6.76/4.89 ((v123(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2))))) <=> (v123(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2)))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8774,plain,
% 6.76/4.89 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2))))))),
% 6.76/4.89 inference(monotonicity,[status(thm)],[8773])).
% 6.76/4.89 tff(8775,plain,
% 6.76/4.89 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2))))))),
% 6.76/4.89 inference(transitivity,[status(thm)],[8774, 8772])).
% 6.76/4.89 tff(8776,plain,
% 6.76/4.89 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex1) | (~v90(constB61, bitIndex2)))))),
% 6.76/4.89 inference(quant_inst,[status(thm)],[])).
% 6.76/4.89 tff(8777,plain,
% 6.76/4.89 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2)))))),
% 6.76/4.89 inference(modus_ponens,[status(thm)],[8776, 8775])).
% 6.76/4.89 tff(8778,plain,
% 6.76/4.89 (v123(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2))))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8777, 880])).
% 6.76/4.89 tff(8779,plain,
% 6.76/4.89 ((v90(constB61, bitIndex1) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2))) | (~v90(constB61, bitIndex1))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8780,plain,
% 6.76/4.89 (v90(constB61, bitIndex1) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8779, 8767])).
% 6.76/4.89 tff(8781,plain,
% 6.76/4.89 ((~(v123(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2)))))) | (~v123(constB61)) | (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex2))))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8782,plain,
% 6.76/4.89 (~v123(constB61)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8781, 8780, 8778])).
% 6.76/4.89 tff(8783,plain,
% 6.76/4.89 (((~![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))))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8784,plain,
% 6.76/4.89 ((v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1))))) <=> (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8785,plain,
% 6.76/4.89 (((~![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))))))),
% 6.76/4.89 inference(monotonicity,[status(thm)],[8784])).
% 6.76/4.89 tff(8786,plain,
% 6.76/4.89 (((~![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))))))),
% 6.76/4.89 inference(transitivity,[status(thm)],[8785, 8783])).
% 6.76/4.89 tff(8787,plain,
% 6.76/4.89 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)))))),
% 6.76/4.89 inference(quant_inst,[status(thm)],[])).
% 6.76/4.89 tff(8788,plain,
% 6.76/4.89 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))),
% 6.76/4.89 inference(modus_ponens,[status(thm)],[8787, 8786])).
% 6.76/4.89 tff(8789,plain,
% 6.76/4.89 (v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8788, 959])).
% 6.76/4.89 tff(8790,plain,
% 6.76/4.89 ((v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))) | (~v90(constB61, bitIndex2))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8791,plain,
% 6.76/4.89 (v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8790, 8738])).
% 6.76/4.89 tff(8792,plain,
% 6.76/4.89 ((~(v122(constB61) <=> (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0)))))) | (~v122(constB61)) | (~(v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex0))))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8793,plain,
% 6.76/4.89 (~v122(constB61)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8792, 8791, 8789])).
% 6.76/4.89 tff(8794,plain,
% 6.76/4.89 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1))))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8795,plain,
% 6.76/4.89 ((v121(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1))))) <=> (v121(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8796,plain,
% 6.76/4.89 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1))))))),
% 6.76/4.89 inference(monotonicity,[status(thm)],[8795])).
% 6.76/4.89 tff(8797,plain,
% 6.76/4.89 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1))))))),
% 6.76/4.89 inference(transitivity,[status(thm)],[8796, 8794])).
% 6.76/4.89 tff(8798,plain,
% 6.76/4.89 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex0) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex1)))))),
% 6.76/4.89 inference(quant_inst,[status(thm)],[])).
% 6.76/4.89 tff(8799,plain,
% 6.76/4.89 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)))))),
% 6.76/4.89 inference(modus_ponens,[status(thm)],[8798, 8797])).
% 6.76/4.89 tff(8800,plain,
% 6.76/4.89 (v121(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1))))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8799, 574])).
% 6.76/4.89 tff(8801,plain,
% 6.76/4.89 ((v90(constB61, bitIndex2) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1))) | (~v90(constB61, bitIndex2))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8802,plain,
% 6.76/4.89 (v90(constB61, bitIndex2) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8801, 8738])).
% 6.76/4.89 tff(8803,plain,
% 6.76/4.89 ((~(v121(constB61) <=> (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)))))) | (~v121(constB61)) | (~(v90(constB61, bitIndex2) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1))))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8804,plain,
% 6.76/4.89 (~v121(constB61)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8803, 8802, 8800])).
% 6.76/4.89 tff(8805,plain,
% 6.76/4.89 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)))))),
% 6.76/4.89 inference(quant_inst,[status(thm)],[])).
% 6.76/4.89 tff(8806,plain,
% 6.76/4.89 (v120(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0))))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8805, 653])).
% 6.76/4.89 tff(8807,plain,
% 6.76/4.89 ((v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0))) | (~v90(constB61, bitIndex2))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8808,plain,
% 6.76/4.89 (v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8807, 8738])).
% 6.76/4.89 tff(8809,plain,
% 6.76/4.89 ((~(v120(constB61) <=> (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0)))))) | (~v120(constB61)) | (~(v90(constB61, bitIndex1) | v90(constB61, bitIndex2) | (~v90(constB61, bitIndex0))))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8810,plain,
% 6.76/4.89 (~v120(constB61)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8809, 8808, 8806])).
% 6.76/4.89 tff(8811,plain,
% 6.76/4.89 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, 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(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0)))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8812,plain,
% 6.76/4.89 ((v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0))))) <=> (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0)))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8813,plain,
% 6.76/4.89 ((~(v130(constB61, bitIndex1) | v130(constB61, bitIndex2) | (~v130(constB61, bitIndex0)))) <=> (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8814,plain,
% 6.76/4.89 ((v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex2) | (~v130(constB61, bitIndex0))))) <=> (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0)))))),
% 6.76/4.89 inference(monotonicity,[status(thm)],[8813])).
% 6.76/4.89 tff(8815,plain,
% 6.76/4.89 ((v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex2) | (~v130(constB61, bitIndex0))))) <=> (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0)))))),
% 6.76/4.89 inference(transitivity,[status(thm)],[8814, 8812])).
% 6.76/4.89 tff(8816,plain,
% 6.76/4.89 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex2) | (~v130(constB61, 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(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0))))))),
% 6.76/4.89 inference(monotonicity,[status(thm)],[8815])).
% 6.76/4.89 tff(8817,plain,
% 6.76/4.89 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex2) | (~v130(constB61, 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(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0)))))),
% 6.76/4.89 inference(transitivity,[status(thm)],[8816, 8811])).
% 6.76/4.89 tff(8818,plain,
% 6.76/4.89 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB61) | v123(constB61) | v122(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | (~(v130(constB61, bitIndex1) | v130(constB61, bitIndex2) | (~v130(constB61, bitIndex0)))))),
% 6.76/4.89 inference(quant_inst,[status(thm)],[])).
% 6.76/4.89 tff(8819,plain,
% 6.76/4.89 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0))))),
% 6.76/4.89 inference(modus_ponens,[status(thm)],[8818, 8817])).
% 6.76/4.89 tff(8820,plain,
% 6.76/4.89 (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0))))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8819, 5057])).
% 6.76/4.89 tff(8821,plain,
% 6.76/4.89 (~(v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0)))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8820, 8810, 8804, 8793, 8782, 8771, 8742])).
% 6.76/4.89 tff(8822,plain,
% 6.76/4.89 ((v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0))) | (~v130(constB61, bitIndex2))),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8823,plain,
% 6.76/4.89 (~v130(constB61, bitIndex2)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8822, 8821])).
% 6.76/4.89 tff(8824,plain,
% 6.76/4.89 (((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | (~v127(constB61, bitIndex2)) | v130(constB61, bitIndex2)),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8825,plain,
% 6.76/4.89 (~v127(constB61, bitIndex2)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8824, 8823, 1924])).
% 6.76/4.89 tff(8826,plain,
% 6.76/4.89 (((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | (~v129(constB62, bitIndex2)) | v127(constB61, bitIndex2)),
% 6.76/4.89 inference(tautology,[status(thm)],[])).
% 6.76/4.89 tff(8827,plain,
% 6.76/4.89 (~v129(constB62, bitIndex2)),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8826, 8825, 1910])).
% 6.76/4.89 tff(8828,plain,
% 6.76/4.89 (((~![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))))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8829,plain,
% 6.76/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))))),
% 6.76/4.89 inference(quant_inst,[status(thm)],[])).
% 6.76/4.89 tff(8830,plain,
% 6.76/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB61, constB62)) | (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))),
% 6.76/4.89 inference(modus_ponens,[status(thm)],[8829, 8828])).
% 6.76/4.89 tff(8831,plain,
% 6.76/4.89 (v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62))))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8830, 1904, 433])).
% 6.76/4.89 tff(8832,plain,
% 6.76/4.89 (((~![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))))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8833,plain,
% 6.76/4.89 (((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62)))))) <=> ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8834,plain,
% 6.76/4.89 (((~![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)))))))),
% 6.76/4.89 inference(monotonicity,[status(thm)],[8833])).
% 6.76/4.89 tff(8835,plain,
% 6.76/4.89 (((~![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))))))),
% 6.76/4.89 inference(transitivity,[status(thm)],[8834, 8832])).
% 6.76/4.89 tff(8836,plain,
% 6.76/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v102(constB62)) | (~v1(constB62))))))),
% 6.76/4.89 inference(quant_inst,[status(thm)],[])).
% 6.76/4.89 tff(8837,plain,
% 6.76/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))),
% 6.76/4.89 inference(modus_ponens,[status(thm)],[8836, 8835])).
% 6.76/4.89 tff(8838,plain,
% 6.76/4.89 (v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62))))),
% 6.76/4.89 inference(unit_resolution,[status(thm)],[8837, 1904, 453])).
% 6.76/4.89 tff(8839,plain,
% 6.76/4.89 (((~![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)))),
% 6.76/4.89 inference(rewrite,[status(thm)],[])).
% 6.76/4.89 tff(8840,plain,
% 6.76/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62)))),
% 6.76/4.89 inference(quant_inst,[status(thm)],[])).
% 6.76/4.89 tff(8841,plain,
% 6.76/4.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB61, constB62)) | ((~v102(constB62)) <=> v104(constB62))),
% 6.76/4.89 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 6.76/4.90 tff(8842,plain,
% 6.76/4.90 ((~v102(constB62)) <=> v104(constB62)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8841, 1904, 3966])).
% 6.76/4.90 tff(8843,plain,
% 6.76/4.90 (((~![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)))),
% 6.76/4.90 inference(rewrite,[status(thm)],[])).
% 6.76/4.90 tff(8844,plain,
% 6.76/4.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61)))),
% 6.76/4.90 inference(quant_inst,[status(thm)],[])).
% 6.76/4.90 tff(8845,plain,
% 6.76/4.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v1(constB61))),
% 6.76/4.90 inference(modus_ponens,[status(thm)],[8844, 8843])).
% 6.76/4.90 tff(8846,plain,
% 6.76/4.90 (v104(constB62) <=> v1(constB61)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8845, 1904, 3980])).
% 6.76/4.90 tff(8847,plain,
% 6.76/4.90 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62)) | v1(constB61)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8848,plain,
% 6.76/4.90 ((~(v104(constB62) <=> v1(constB61))) | (~v104(constB62))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8847, 1943])).
% 6.76/4.90 tff(8849,plain,
% 6.76/4.90 (~v104(constB62)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8848, 8846])).
% 6.76/4.90 tff(8850,plain,
% 6.76/4.90 ((~((~v102(constB62)) <=> v104(constB62))) | v102(constB62) | v104(constB62)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8851,plain,
% 6.76/4.90 (v102(constB62)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8850, 8849, 8842])).
% 6.76/4.90 tff(8852,plain,
% 6.76/4.90 (v1(constB62) <=> v1(constB62)),
% 6.76/4.90 inference(rewrite,[status(thm)],[])).
% 6.76/4.90 tff(8853,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62')).
% 6.76/4.90 tff(8854,plain,
% 6.76/4.90 (v1(constB62)),
% 6.76/4.90 inference(modus_ponens,[status(thm)],[8853, 8852])).
% 6.76/4.90 tff(8855,plain,
% 6.76/4.90 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v1(constB62)) | (~v102(constB62))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8856,plain,
% 6.76/4.90 ((~((~v1(constB62)) | (~v102(constB62)))) | (~v102(constB62))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8855, 8854])).
% 6.76/4.90 tff(8857,plain,
% 6.76/4.90 (~((~v1(constB62)) | (~v102(constB62)))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8856, 8851])).
% 6.76/4.90 tff(8858,plain,
% 6.76/4.90 ((~(v101(constB62) <=> (~((~v1(constB62)) | (~v102(constB62)))))) | v101(constB62) | ((~v1(constB62)) | (~v102(constB62)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8859,plain,
% 6.76/4.90 (v101(constB62)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8858, 8857, 8838])).
% 6.76/4.90 tff(8860,plain,
% 6.76/4.90 (((~![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)))),
% 6.76/4.90 inference(rewrite,[status(thm)],[])).
% 6.76/4.90 tff(8861,plain,
% 6.76/4.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61)))),
% 6.76/4.90 inference(quant_inst,[status(thm)],[])).
% 6.76/4.90 tff(8862,plain,
% 6.76/4.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB61, constB62)) | (v110(constB62) <=> v108(constB61))),
% 6.76/4.90 inference(modus_ponens,[status(thm)],[8861, 8860])).
% 6.76/4.90 tff(8863,plain,
% 6.76/4.90 (v110(constB62) <=> v108(constB61)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8862, 1904, 4007])).
% 6.76/4.90 tff(8864,plain,
% 6.76/4.90 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB61) <=> (v111(constB61) | v112(constB61)))),
% 6.76/4.90 inference(quant_inst,[status(thm)],[])).
% 6.76/4.90 tff(8865,plain,
% 6.76/4.90 (v108(constB61) <=> (v111(constB61) | v112(constB61))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8864, 4018])).
% 6.76/4.90 tff(8866,plain,
% 6.76/4.90 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))),
% 6.76/4.90 inference(quant_inst,[status(thm)],[])).
% 6.76/4.90 tff(8867,plain,
% 6.76/4.90 (v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61))))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8866, 4030])).
% 6.76/4.90 tff(8868,plain,
% 6.76/4.90 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB61) <=> (v114(constB61) | v125(constB61)))),
% 6.76/4.90 inference(quant_inst,[status(thm)],[])).
% 6.76/4.90 tff(8869,plain,
% 6.76/4.90 (v113(constB61) <=> (v114(constB61) | v125(constB61))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8868, 4039])).
% 6.76/4.90 tff(8870,plain,
% 6.76/4.90 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB61) <=> (~(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)))))),
% 6.76/4.90 inference(quant_inst,[status(thm)],[])).
% 6.76/4.90 tff(8871,plain,
% 6.76/4.90 (v125(constB61) <=> (~(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2))))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8870, 5129])).
% 6.76/4.90 tff(8872,plain,
% 6.76/4.90 ((((~v90(constB61, bitIndex1)) <=> v90(constB60, bitIndex1)) | ((~v90(constB61, bitIndex2)) <=> v90(constB60, bitIndex2)) | ((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))) | (~((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8873,plain,
% 6.76/4.90 (~((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8872, 1960])).
% 6.76/4.90 tff(8874,plain,
% 6.76/4.90 ((((~v129(constB60, bitIndex2)) <=> v127(constB59, bitIndex2)) | ((~v129(constB60, bitIndex1)) <=> v127(constB59, bitIndex1)) | ((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0))) | (~((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8875,plain,
% 6.76/4.90 (~((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8874, 1969])).
% 6.76/4.90 tff(8876,plain,
% 6.76/4.90 ((((~v127(constB59, bitIndex2)) <=> v130(constB59, bitIndex2)) | ((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)) | ((~v127(constB59, bitIndex1)) <=> v130(constB59, bitIndex1))) | (~((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8877,plain,
% 6.76/4.90 (~((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8876, 1983])).
% 6.76/4.90 tff(8878,plain,
% 6.76/4.90 ((v130(constB59, bitIndex0) | (~v130(constB59, bitIndex2)) | (~v130(constB59, bitIndex1))) | (~v130(constB59, bitIndex0))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8879,plain,
% 6.76/4.90 (~v130(constB59, bitIndex0)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8878, 8649])).
% 6.76/4.90 tff(8880,plain,
% 6.76/4.90 (((~v127(constB59, bitIndex0)) <=> v130(constB59, bitIndex0)) | (~v127(constB59, bitIndex0)) | v130(constB59, bitIndex0)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8881,plain,
% 6.76/4.90 (~v127(constB59, bitIndex0)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8880, 8879, 8877])).
% 6.76/4.90 tff(8882,plain,
% 6.76/4.90 (((~v129(constB60, bitIndex0)) <=> v127(constB59, bitIndex0)) | (~v129(constB60, bitIndex0)) | v127(constB59, bitIndex0)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8883,plain,
% 6.76/4.90 (~v129(constB60, bitIndex0)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8882, 8881, 8875])).
% 6.76/4.90 tff(8884,plain,
% 6.76/4.90 ((((~v90(constB60, bitIndex2)) <=> v129(constB60, bitIndex2)) | ((~v90(constB60, bitIndex1)) <=> v129(constB60, bitIndex1)) | ((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0))) | (~((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8885,plain,
% 6.76/4.90 (~((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8884, 8732])).
% 6.76/4.90 tff(8886,plain,
% 6.76/4.90 (((~v90(constB60, bitIndex0)) <=> v129(constB60, bitIndex0)) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8887,plain,
% 6.76/4.90 (~v90(constB60, bitIndex0)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8886, 8885, 8883])).
% 6.76/4.90 tff(8888,plain,
% 6.76/4.90 (((~v90(constB61, bitIndex0)) <=> v90(constB60, bitIndex0)) | (~v90(constB61, bitIndex0)) | v90(constB60, bitIndex0)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8889,plain,
% 6.76/4.90 (~v90(constB61, bitIndex0)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8888, 8887, 8873])).
% 6.76/4.90 tff(8890,plain,
% 6.76/4.90 ((~(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)))) | v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8891,plain,
% 6.76/4.90 (~(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8890, 8767, 8889, 8738])).
% 6.76/4.90 tff(8892,plain,
% 6.76/4.90 ((~(v125(constB61) <=> (~(v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)))))) | v125(constB61) | (v90(constB61, bitIndex0) | (~v90(constB61, bitIndex1)) | (~v90(constB61, bitIndex2)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8893,plain,
% 6.76/4.90 (v125(constB61)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8892, 8891, 8871])).
% 6.76/4.90 tff(8894,plain,
% 6.76/4.90 ((v114(constB61) | v125(constB61)) | (~v125(constB61))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8895,plain,
% 6.76/4.90 (v114(constB61) | v125(constB61)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8894, 8893])).
% 6.76/4.90 tff(8896,plain,
% 6.76/4.90 ((~(v113(constB61) <=> (v114(constB61) | v125(constB61)))) | v113(constB61) | (~(v114(constB61) | v125(constB61)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8897,plain,
% 6.76/4.90 (v113(constB61)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8896, 8895, 8869])).
% 6.76/4.90 tff(8898,plain,
% 6.76/4.90 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB61)) <=> v111(constB61))),
% 6.76/4.90 inference(quant_inst,[status(thm)],[])).
% 6.76/4.90 tff(8899,plain,
% 6.76/4.90 ((~v126(constB61)) <=> v111(constB61)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8898, 4118])).
% 6.76/4.90 tff(8900,plain,
% 6.76/4.90 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61) | v111(constB61)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8901,plain,
% 6.76/4.90 ((~((~v126(constB61)) <=> v111(constB61))) | v126(constB61)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8900, 1917])).
% 6.76/4.90 tff(8902,plain,
% 6.76/4.90 (v126(constB61)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8901, 8899])).
% 6.76/4.90 tff(8903,plain,
% 6.76/4.90 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61)) | (~v126(constB61))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8904,plain,
% 6.76/4.90 ((~((~v113(constB61)) | (~v126(constB61)))) | (~v113(constB61))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8903, 8902])).
% 6.76/4.90 tff(8905,plain,
% 6.76/4.90 (~((~v113(constB61)) | (~v126(constB61)))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8904, 8897])).
% 6.76/4.90 tff(8906,plain,
% 6.76/4.90 ((~(v112(constB61) <=> (~((~v113(constB61)) | (~v126(constB61)))))) | v112(constB61) | ((~v113(constB61)) | (~v126(constB61)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8907,plain,
% 6.76/4.90 (v112(constB61)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8906, 8905, 8867])).
% 6.76/4.90 tff(8908,plain,
% 6.76/4.90 ((v111(constB61) | v112(constB61)) | (~v112(constB61))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8909,plain,
% 6.76/4.90 (v111(constB61) | v112(constB61)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8908, 8907])).
% 6.76/4.90 tff(8910,plain,
% 6.76/4.90 ((~(v108(constB61) <=> (v111(constB61) | v112(constB61)))) | v108(constB61) | (~(v111(constB61) | v112(constB61)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8911,plain,
% 6.76/4.90 (v108(constB61)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8910, 8909, 8865])).
% 6.76/4.90 tff(8912,plain,
% 6.76/4.90 ((~(v110(constB62) <=> v108(constB61))) | v110(constB62) | (~v108(constB61))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8913,plain,
% 6.76/4.90 (v110(constB62)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8912, 8911, 8863])).
% 6.76/4.90 tff(8914,plain,
% 6.76/4.90 ((~((~v101(constB62)) | (~v110(constB62)))) | (~v101(constB62)) | (~v110(constB62))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8915,plain,
% 6.76/4.90 (~((~v101(constB62)) | (~v110(constB62)))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8914, 8913, 8859])).
% 6.76/4.90 tff(8916,plain,
% 6.76/4.90 ((~(v100(constB62) <=> (~((~v101(constB62)) | (~v110(constB62)))))) | v100(constB62) | ((~v101(constB62)) | (~v110(constB62)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8917,plain,
% 6.76/4.90 (v100(constB62)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8916, 8915, 8831])).
% 6.76/4.90 tff(8918,plain,
% 6.76/4.90 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.76/4.90 inference(rewrite,[status(thm)],[])).
% 6.76/4.90 tff(8919,plain,
% 6.76/4.90 (((~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)))))),
% 6.76/4.90 inference(rewrite,[status(thm)],[])).
% 6.76/4.90 tff(8920,plain,
% 6.76/4.90 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 6.76/4.90 inference(monotonicity,[status(thm)],[8919])).
% 6.76/4.90 tff(8921,plain,
% 6.76/4.90 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.76/4.90 inference(transitivity,[status(thm)],[8920, 8918])).
% 6.76/4.90 tff(8922,plain,
% 6.76/4.90 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB62)) | (~(((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)) | ((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)))))),
% 6.76/4.90 inference(quant_inst,[status(thm)],[])).
% 6.76/4.90 tff(8923,plain,
% 6.76/4.90 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB62)) | (~(((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))))),
% 6.76/4.90 inference(modus_ponens,[status(thm)],[8922, 8921])).
% 6.76/4.90 tff(8924,plain,
% 6.76/4.90 ((~v100(constB62)) | (~(((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8923, 4151])).
% 6.76/4.90 tff(8925,plain,
% 6.76/4.90 (~(((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8924, 8917])).
% 6.76/4.90 tff(8926,plain,
% 6.76/4.90 ((((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))) | (~((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8927,plain,
% 6.76/4.90 (~((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8926, 8925])).
% 6.76/4.90 tff(8928,plain,
% 6.76/4.90 (((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8929,plain,
% 6.76/4.90 (~v90(constB62, bitIndex2)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8928, 8927, 8827])).
% 6.76/4.90 tff(8930,plain,
% 6.76/4.90 (((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | (~v90(constB63, bitIndex2)) | v90(constB62, bitIndex2)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8931,plain,
% 6.76/4.90 (~v90(constB63, bitIndex2)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8930, 8929, 1901])).
% 6.76/4.90 tff(8932,plain,
% 6.76/4.90 ((((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))) | (~((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8933,plain,
% 6.76/4.90 (~((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8932, 1899])).
% 6.76/4.90 tff(8934,plain,
% 6.76/4.90 ((((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0))) | (~((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8935,plain,
% 6.76/4.90 (~((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8934, 1908])).
% 6.76/4.90 tff(8936,plain,
% 6.76/4.90 ((((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1))) | (~((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8937,plain,
% 6.76/4.90 (~((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8936, 1922])).
% 6.76/4.90 tff(8938,plain,
% 6.76/4.90 ((v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0))) | v130(constB61, bitIndex0)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8939,plain,
% 6.76/4.90 (v130(constB61, bitIndex0)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8938, 8821])).
% 6.76/4.90 tff(8940,plain,
% 6.76/4.90 (((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)) | v127(constB61, bitIndex0) | (~v130(constB61, bitIndex0))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8941,plain,
% 6.76/4.90 (v127(constB61, bitIndex0)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8940, 8939, 8937])).
% 6.76/4.90 tff(8942,plain,
% 6.76/4.90 (((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0)) | v129(constB62, bitIndex0) | (~v127(constB61, bitIndex0))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8943,plain,
% 6.76/4.90 (v129(constB62, bitIndex0)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8942, 8941, 8935])).
% 6.76/4.90 tff(8944,plain,
% 6.76/4.90 ((((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))) | (~((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8945,plain,
% 6.76/4.90 (~((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8944, 8925])).
% 6.76/4.90 tff(8946,plain,
% 6.76/4.90 (((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | v90(constB62, bitIndex0) | (~v129(constB62, bitIndex0))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8947,plain,
% 6.76/4.90 (v90(constB62, bitIndex0)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8946, 8945, 8943])).
% 6.76/4.90 tff(8948,plain,
% 6.76/4.90 (((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0)) | v90(constB63, bitIndex0) | (~v90(constB62, bitIndex0))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8949,plain,
% 6.76/4.90 (v90(constB63, bitIndex0)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8948, 8947, 8933])).
% 6.76/4.90 tff(8950,plain,
% 6.76/4.90 ((((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | ((~v90(constB63, bitIndex2)) <=> v90(constB62, bitIndex2)) | ((~v90(constB63, bitIndex0)) <=> v90(constB62, bitIndex0))) | (~((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8951,plain,
% 6.76/4.90 (~((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8950, 1899])).
% 6.76/4.90 tff(8952,plain,
% 6.76/4.90 ((((~v129(constB62, bitIndex2)) <=> v127(constB61, bitIndex2)) | ((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | ((~v129(constB62, bitIndex0)) <=> v127(constB61, bitIndex0))) | (~((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8953,plain,
% 6.76/4.90 (~((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8952, 1908])).
% 6.76/4.90 tff(8954,plain,
% 6.76/4.90 ((((~v127(constB61, bitIndex2)) <=> v130(constB61, bitIndex2)) | ((~v127(constB61, bitIndex0)) <=> v130(constB61, bitIndex0)) | ((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1))) | (~((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8955,plain,
% 6.76/4.90 (~((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8954, 1922])).
% 6.76/4.90 tff(8956,plain,
% 6.76/4.90 ((v130(constB61, bitIndex2) | v130(constB61, bitIndex1) | (~v130(constB61, bitIndex0))) | (~v130(constB61, bitIndex1))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8957,plain,
% 6.76/4.90 (~v130(constB61, bitIndex1)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8956, 8821])).
% 6.76/4.90 tff(8958,plain,
% 6.76/4.90 (((~v127(constB61, bitIndex1)) <=> v130(constB61, bitIndex1)) | (~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8959,plain,
% 6.76/4.90 (~v127(constB61, bitIndex1)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8958, 8957, 8955])).
% 6.76/4.90 tff(8960,plain,
% 6.76/4.90 (((~v129(constB62, bitIndex1)) <=> v127(constB61, bitIndex1)) | (~v129(constB62, bitIndex1)) | v127(constB61, bitIndex1)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8961,plain,
% 6.76/4.90 (~v129(constB62, bitIndex1)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8960, 8959, 8953])).
% 6.76/4.90 tff(8962,plain,
% 6.76/4.90 ((((~v90(constB62, bitIndex0)) <=> v129(constB62, bitIndex0)) | ((~v90(constB62, bitIndex2)) <=> v129(constB62, bitIndex2)) | ((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))) | (~((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8963,plain,
% 6.76/4.90 (~((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8962, 8925])).
% 6.76/4.90 tff(8964,plain,
% 6.76/4.90 (((~v90(constB62, bitIndex1)) <=> v129(constB62, bitIndex1)) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8965,plain,
% 6.76/4.90 (~v90(constB62, bitIndex1)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8964, 8963, 8961])).
% 6.76/4.90 tff(8966,plain,
% 6.76/4.90 (((~v90(constB63, bitIndex1)) <=> v90(constB62, bitIndex1)) | (~v90(constB63, bitIndex1)) | v90(constB62, bitIndex1)),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8967,plain,
% 6.76/4.90 (~v90(constB63, bitIndex1)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8966, 8965, 8951])).
% 6.76/4.90 tff(8968,plain,
% 6.76/4.90 ((~(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0)))) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8969,plain,
% 6.76/4.90 (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0)))),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8968, 8967, 8949, 8931])).
% 6.76/4.90 tff(8970,plain,
% 6.76/4.90 ((~(v120(constB63) <=> (~(v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0)))))) | v120(constB63) | (v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | (~v90(constB63, bitIndex0)))),
% 6.76/4.90 inference(tautology,[status(thm)],[])).
% 6.76/4.90 tff(8971,plain,
% 6.76/4.90 (v120(constB63)),
% 6.76/4.90 inference(unit_resolution,[status(thm)],[8970, 8969, 1865])).
% 6.76/4.90 tff(8972,plain,
% 6.76/4.90 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB63)) | (~(v130(constB63, bitIndex2) | v130(constB63, bitIndex0) | (~v130(constB63, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB63)) | (~(v130(constB63, bitIndex2) | v130(constB63, bitIndex0) | (~v130(constB63, bitIndex1)))))),
% 6.76/4.90 inference(rewrite,[status(thm)],[])).
% 6.76/4.90 tff(8973,plain,
% 6.76/4.90 (((~v120(constB63)) | (~(v130(constB63, bitIndex0) | v130(constB63, bitIndex2) | (~v130(constB63, bitIndex1))))) <=> ((~v120(constB63)) | (~(v130(constB63, bitIndex2) | v130(constB63, bitIndex0) | (~v130(constB63, bitIndex1)))))),
% 6.76/4.90 inference(rewrite,[status(thm)],[])).
% 6.76/4.90 tff(8974,plain,
% 6.76/4.90 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB63)) | (~(v130(constB63, bitIndex0) | v130(constB63, bitIndex2) | (~v130(constB63, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB63)) | (~(v130(constB63, bitIndex2) | v130(constB63, bitIndex0) | (~v130(constB63, bitIndex1))))))),
% 6.76/4.90 inference(monotonicity,[status(thm)],[8973])).
% 6.76/4.90 tff(8975,plain,
% 6.76/4.90 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB63)) | (~(v130(constB63, bitIndex0) | v130(constB63, bitIndex2) | (~v130(constB63, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB63)) | (~(v130(constB63, bitIndex2) | v130(constB63, bitIndex0) | (~v130(constB63, bitIndex1)))))),
% 6.76/4.90 inference(transitivity,[status(thm)],[8974, 8972])).
% 6.76/4.90 tff(8976,plain,
% 6.76/4.90 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB63)) | (~(v130(constB63, bitIndex0) | v130(constB63, bitIndex2) | (~v130(constB63, bitIndex1)))))),
% 6.76/4.90 inference(quant_inst,[status(thm)],[])).
% 6.76/4.90 tff(8977,plain,
% 6.76/4.90 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB63)) | (~(v130(constB63, bitIndex2) | v130(constB63, bitIndex0) | (~v130(constB63, bitIndex1))))),
% 6.76/4.91 inference(modus_ponens,[status(thm)],[8976, 8975])).
% 6.76/4.91 tff(8978,plain,
% 6.76/4.91 ((~v120(constB63)) | (~(v130(constB63, bitIndex2) | v130(constB63, bitIndex0) | (~v130(constB63, bitIndex1))))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[8977, 4218])).
% 6.76/4.91 tff(8979,plain,
% 6.76/4.91 (~(v130(constB63, bitIndex2) | v130(constB63, bitIndex0) | (~v130(constB63, bitIndex1)))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[8978, 8971])).
% 6.76/4.91 tff(8980,plain,
% 6.76/4.91 ((v130(constB63, bitIndex2) | v130(constB63, bitIndex0) | (~v130(constB63, bitIndex1))) | (~v130(constB63, bitIndex2))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(8981,plain,
% 6.76/4.91 (~v130(constB63, bitIndex2)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[8980, 8979])).
% 6.76/4.91 tff(8982,plain,
% 6.76/4.91 (((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | (~v127(constB63, bitIndex2)) | v130(constB63, bitIndex2)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(8983,plain,
% 6.76/4.91 (~v127(constB63, bitIndex2)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[8982, 8981, 1863])).
% 6.76/4.91 tff(8984,plain,
% 6.76/4.91 (((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | (~v129(constB64, bitIndex2)) | v127(constB63, bitIndex2)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(8985,plain,
% 6.76/4.91 (~v129(constB64, bitIndex2)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[8984, 8983, 1849])).
% 6.76/4.91 tff(8986,plain,
% 6.76/4.91 (((~![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))))))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(8987,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(8988,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB63, constB64)) | (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))),
% 6.76/4.91 inference(modus_ponens,[status(thm)],[8987, 8986])).
% 6.76/4.91 tff(8989,plain,
% 6.76/4.91 (v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64))))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[8988, 1843, 433])).
% 6.76/4.91 tff(8990,plain,
% 6.76/4.91 (((~![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))))))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(8991,plain,
% 6.76/4.91 (((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64)))))) <=> ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(8992,plain,
% 6.76/4.91 (((~![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)))))))),
% 6.76/4.91 inference(monotonicity,[status(thm)],[8991])).
% 6.76/4.91 tff(8993,plain,
% 6.76/4.91 (((~![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))))))),
% 6.76/4.91 inference(transitivity,[status(thm)],[8992, 8990])).
% 6.76/4.91 tff(8994,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v102(constB64)) | (~v1(constB64))))))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(8995,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))),
% 6.76/4.91 inference(modus_ponens,[status(thm)],[8994, 8993])).
% 6.76/4.91 tff(8996,plain,
% 6.76/4.91 (v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64))))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[8995, 1843, 453])).
% 6.76/4.91 tff(8997,plain,
% 6.76/4.91 (((~![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)))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(8998,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64)))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(8999,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB63, constB64)) | ((~v102(constB64)) <=> v104(constB64))),
% 6.76/4.91 inference(modus_ponens,[status(thm)],[8998, 8997])).
% 6.76/4.91 tff(9000,plain,
% 6.76/4.91 ((~v102(constB64)) <=> v104(constB64)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[8999, 1843, 3966])).
% 6.76/4.91 tff(9001,plain,
% 6.76/4.91 (((~![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)))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(9002,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63)))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9003,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v1(constB63))),
% 6.76/4.91 inference(modus_ponens,[status(thm)],[9002, 9001])).
% 6.76/4.91 tff(9004,plain,
% 6.76/4.91 (v104(constB64) <=> v1(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9003, 1843, 3980])).
% 6.76/4.91 tff(9005,plain,
% 6.76/4.91 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64)) | v1(constB63)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9006,plain,
% 6.76/4.91 ((~(v104(constB64) <=> v1(constB63))) | (~v104(constB64))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9005, 1882])).
% 6.76/4.91 tff(9007,plain,
% 6.76/4.91 (~v104(constB64)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9006, 9004])).
% 6.76/4.91 tff(9008,plain,
% 6.76/4.91 ((~((~v102(constB64)) <=> v104(constB64))) | v102(constB64) | v104(constB64)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9009,plain,
% 6.76/4.91 (v102(constB64)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9008, 9007, 9000])).
% 6.76/4.91 tff(9010,plain,
% 6.76/4.91 (v1(constB64) <=> v1(constB64)),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(9011,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64')).
% 6.76/4.91 tff(9012,plain,
% 6.76/4.91 (v1(constB64)),
% 6.76/4.91 inference(modus_ponens,[status(thm)],[9011, 9010])).
% 6.76/4.91 tff(9013,plain,
% 6.76/4.91 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v1(constB64)) | (~v102(constB64))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9014,plain,
% 6.76/4.91 ((~((~v1(constB64)) | (~v102(constB64)))) | (~v102(constB64))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9013, 9012])).
% 6.76/4.91 tff(9015,plain,
% 6.76/4.91 (~((~v1(constB64)) | (~v102(constB64)))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9014, 9009])).
% 6.76/4.91 tff(9016,plain,
% 6.76/4.91 ((~(v101(constB64) <=> (~((~v1(constB64)) | (~v102(constB64)))))) | v101(constB64) | ((~v1(constB64)) | (~v102(constB64)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9017,plain,
% 6.76/4.91 (v101(constB64)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9016, 9015, 8996])).
% 6.76/4.91 tff(9018,plain,
% 6.76/4.91 (((~![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)))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(9019,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63)))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9020,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB63, constB64)) | (v110(constB64) <=> v108(constB63))),
% 6.76/4.91 inference(modus_ponens,[status(thm)],[9019, 9018])).
% 6.76/4.91 tff(9021,plain,
% 6.76/4.91 (v110(constB64) <=> v108(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9020, 1843, 4007])).
% 6.76/4.91 tff(9022,plain,
% 6.76/4.91 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB63) <=> (v111(constB63) | v112(constB63)))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9023,plain,
% 6.76/4.91 (v108(constB63) <=> (v111(constB63) | v112(constB63))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9022, 4018])).
% 6.76/4.91 tff(9024,plain,
% 6.76/4.91 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9025,plain,
% 6.76/4.91 (v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63))))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9024, 4030])).
% 6.76/4.91 tff(9026,plain,
% 6.76/4.91 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB63) <=> (v114(constB63) | v125(constB63)))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9027,plain,
% 6.76/4.91 (v113(constB63) <=> (v114(constB63) | v125(constB63))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9026, 4039])).
% 6.76/4.91 tff(9028,plain,
% 6.76/4.91 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB63) <=> (v115(constB63) | v124(constB63)))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9029,plain,
% 6.76/4.91 (v114(constB63) <=> (v115(constB63) | v124(constB63))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9028, 4048])).
% 6.76/4.91 tff(9030,plain,
% 6.76/4.91 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB63) <=> (v116(constB63) | v123(constB63)))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9031,plain,
% 6.76/4.91 (v115(constB63) <=> (v116(constB63) | v123(constB63))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9030, 4057])).
% 6.76/4.91 tff(9032,plain,
% 6.76/4.91 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB63) <=> (v117(constB63) | v122(constB63)))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9033,plain,
% 6.76/4.91 (v116(constB63) <=> (v117(constB63) | v122(constB63))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9032, 4066])).
% 6.76/4.91 tff(9034,plain,
% 6.76/4.91 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB63) <=> (v118(constB63) | v121(constB63)))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9035,plain,
% 6.76/4.91 (v117(constB63) <=> (v118(constB63) | v121(constB63))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9034, 4075])).
% 6.76/4.91 tff(9036,plain,
% 6.76/4.91 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB63) <=> (v119(constB63) | v120(constB63)))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9037,plain,
% 6.76/4.91 (v118(constB63) <=> (v119(constB63) | v120(constB63))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9036, 4084])).
% 6.76/4.91 tff(9038,plain,
% 6.76/4.91 ((v119(constB63) | v120(constB63)) | (~v120(constB63))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9039,plain,
% 6.76/4.91 (v119(constB63) | v120(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9038, 8971])).
% 6.76/4.91 tff(9040,plain,
% 6.76/4.91 ((~(v118(constB63) <=> (v119(constB63) | v120(constB63)))) | v118(constB63) | (~(v119(constB63) | v120(constB63)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9041,plain,
% 6.76/4.91 (v118(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9040, 9039, 9037])).
% 6.76/4.91 tff(9042,plain,
% 6.76/4.91 ((v118(constB63) | v121(constB63)) | (~v118(constB63))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9043,plain,
% 6.76/4.91 (v118(constB63) | v121(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9042, 9041])).
% 6.76/4.91 tff(9044,plain,
% 6.76/4.91 ((~(v117(constB63) <=> (v118(constB63) | v121(constB63)))) | v117(constB63) | (~(v118(constB63) | v121(constB63)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9045,plain,
% 6.76/4.91 (v117(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9044, 9043, 9035])).
% 6.76/4.91 tff(9046,plain,
% 6.76/4.91 ((v117(constB63) | v122(constB63)) | (~v117(constB63))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9047,plain,
% 6.76/4.91 (v117(constB63) | v122(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9046, 9045])).
% 6.76/4.91 tff(9048,plain,
% 6.76/4.91 ((~(v116(constB63) <=> (v117(constB63) | v122(constB63)))) | v116(constB63) | (~(v117(constB63) | v122(constB63)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9049,plain,
% 6.76/4.91 (v116(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9048, 9047, 9033])).
% 6.76/4.91 tff(9050,plain,
% 6.76/4.91 ((v116(constB63) | v123(constB63)) | (~v116(constB63))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9051,plain,
% 6.76/4.91 (v116(constB63) | v123(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9050, 9049])).
% 6.76/4.91 tff(9052,plain,
% 6.76/4.91 ((~(v115(constB63) <=> (v116(constB63) | v123(constB63)))) | v115(constB63) | (~(v116(constB63) | v123(constB63)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9053,plain,
% 6.76/4.91 (v115(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9052, 9051, 9031])).
% 6.76/4.91 tff(9054,plain,
% 6.76/4.91 ((v115(constB63) | v124(constB63)) | (~v115(constB63))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9055,plain,
% 6.76/4.91 (v115(constB63) | v124(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9054, 9053])).
% 6.76/4.91 tff(9056,plain,
% 6.76/4.91 ((~(v114(constB63) <=> (v115(constB63) | v124(constB63)))) | v114(constB63) | (~(v115(constB63) | v124(constB63)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9057,plain,
% 6.76/4.91 (v114(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9056, 9055, 9029])).
% 6.76/4.91 tff(9058,plain,
% 6.76/4.91 ((v114(constB63) | v125(constB63)) | (~v114(constB63))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9059,plain,
% 6.76/4.91 (v114(constB63) | v125(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9058, 9057])).
% 6.76/4.91 tff(9060,plain,
% 6.76/4.91 ((~(v113(constB63) <=> (v114(constB63) | v125(constB63)))) | v113(constB63) | (~(v114(constB63) | v125(constB63)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9061,plain,
% 6.76/4.91 (v113(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9060, 9059, 9027])).
% 6.76/4.91 tff(9062,plain,
% 6.76/4.91 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB63)) <=> v111(constB63))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9063,plain,
% 6.76/4.91 ((~v126(constB63)) <=> v111(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9062, 4118])).
% 6.76/4.91 tff(9064,plain,
% 6.76/4.91 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63) | v111(constB63)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9065,plain,
% 6.76/4.91 ((~((~v126(constB63)) <=> v111(constB63))) | v126(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9064, 1856])).
% 6.76/4.91 tff(9066,plain,
% 6.76/4.91 (v126(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9065, 9063])).
% 6.76/4.91 tff(9067,plain,
% 6.76/4.91 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63)) | (~v126(constB63))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9068,plain,
% 6.76/4.91 ((~((~v113(constB63)) | (~v126(constB63)))) | (~v113(constB63))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9067, 9066])).
% 6.76/4.91 tff(9069,plain,
% 6.76/4.91 (~((~v113(constB63)) | (~v126(constB63)))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9068, 9061])).
% 6.76/4.91 tff(9070,plain,
% 6.76/4.91 ((~(v112(constB63) <=> (~((~v113(constB63)) | (~v126(constB63)))))) | v112(constB63) | ((~v113(constB63)) | (~v126(constB63)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9071,plain,
% 6.76/4.91 (v112(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9070, 9069, 9025])).
% 6.76/4.91 tff(9072,plain,
% 6.76/4.91 ((v111(constB63) | v112(constB63)) | (~v112(constB63))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9073,plain,
% 6.76/4.91 (v111(constB63) | v112(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9072, 9071])).
% 6.76/4.91 tff(9074,plain,
% 6.76/4.91 ((~(v108(constB63) <=> (v111(constB63) | v112(constB63)))) | v108(constB63) | (~(v111(constB63) | v112(constB63)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9075,plain,
% 6.76/4.91 (v108(constB63)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9074, 9073, 9023])).
% 6.76/4.91 tff(9076,plain,
% 6.76/4.91 ((~(v110(constB64) <=> v108(constB63))) | v110(constB64) | (~v108(constB63))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9077,plain,
% 6.76/4.91 (v110(constB64)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9076, 9075, 9021])).
% 6.76/4.91 tff(9078,plain,
% 6.76/4.91 ((~((~v101(constB64)) | (~v110(constB64)))) | (~v101(constB64)) | (~v110(constB64))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9079,plain,
% 6.76/4.91 (~((~v101(constB64)) | (~v110(constB64)))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9078, 9077, 9017])).
% 6.76/4.91 tff(9080,plain,
% 6.76/4.91 ((~(v100(constB64) <=> (~((~v101(constB64)) | (~v110(constB64)))))) | v100(constB64) | ((~v101(constB64)) | (~v110(constB64)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9081,plain,
% 6.76/4.91 (v100(constB64)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9080, 9079, 8989])).
% 6.76/4.91 tff(9082,plain,
% 6.76/4.91 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(9083,plain,
% 6.76/4.91 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB64)) | (~(((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0)))))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9084,plain,
% 6.76/4.91 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB64)) | (~(((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))))),
% 6.76/4.91 inference(modus_ponens,[status(thm)],[9083, 9082])).
% 6.76/4.91 tff(9085,plain,
% 6.76/4.91 ((~v100(constB64)) | (~(((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9084, 4151])).
% 6.76/4.91 tff(9086,plain,
% 6.76/4.91 (~(((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0)))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9085, 9081])).
% 6.76/4.91 tff(9087,plain,
% 6.76/4.91 ((((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))) | (~((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9088,plain,
% 6.76/4.91 (~((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9087, 9086])).
% 6.76/4.91 tff(9089,plain,
% 6.76/4.91 (((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9090,plain,
% 6.76/4.91 (~v90(constB64, bitIndex2)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9089, 9088, 8985])).
% 6.76/4.91 tff(9091,plain,
% 6.76/4.91 (((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | (~v90(constB65, bitIndex2)) | v90(constB64, bitIndex2)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9092,plain,
% 6.76/4.91 (~v90(constB65, bitIndex2)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9091, 9090, 1840])).
% 6.76/4.91 tff(9093,plain,
% 6.76/4.91 ((((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))) | (~((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9094,plain,
% 6.76/4.91 (~((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9093, 1838])).
% 6.76/4.91 tff(9095,plain,
% 6.76/4.91 ((((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0))) | (~((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9096,plain,
% 6.76/4.91 (~((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9095, 1847])).
% 6.76/4.91 tff(9097,plain,
% 6.76/4.91 ((((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1))) | (~((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9098,plain,
% 6.76/4.91 (~((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9097, 1861])).
% 6.76/4.91 tff(9099,plain,
% 6.76/4.91 ((v130(constB63, bitIndex2) | v130(constB63, bitIndex0) | (~v130(constB63, bitIndex1))) | (~v130(constB63, bitIndex0))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9100,plain,
% 6.76/4.91 (~v130(constB63, bitIndex0)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9099, 8979])).
% 6.76/4.91 tff(9101,plain,
% 6.76/4.91 (((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)) | (~v127(constB63, bitIndex0)) | v130(constB63, bitIndex0)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9102,plain,
% 6.76/4.91 (~v127(constB63, bitIndex0)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9101, 9100, 9098])).
% 6.76/4.91 tff(9103,plain,
% 6.76/4.91 (((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0)) | (~v129(constB64, bitIndex0)) | v127(constB63, bitIndex0)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9104,plain,
% 6.76/4.91 (~v129(constB64, bitIndex0)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9103, 9102, 9096])).
% 6.76/4.91 tff(9105,plain,
% 6.76/4.91 ((((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))) | (~((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9106,plain,
% 6.76/4.91 (~((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9105, 9086])).
% 6.76/4.91 tff(9107,plain,
% 6.76/4.91 (((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0)) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9108,plain,
% 6.76/4.91 (~v90(constB64, bitIndex0)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9107, 9106, 9104])).
% 6.76/4.91 tff(9109,plain,
% 6.76/4.91 (((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0)) | (~v90(constB65, bitIndex0)) | v90(constB64, bitIndex0)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9110,plain,
% 6.76/4.91 (~v90(constB65, bitIndex0)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9109, 9108, 9094])).
% 6.76/4.91 tff(9111,plain,
% 6.76/4.91 ((((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | ((~v90(constB65, bitIndex2)) <=> v90(constB64, bitIndex2)) | ((~v90(constB65, bitIndex0)) <=> v90(constB64, bitIndex0))) | (~((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9112,plain,
% 6.76/4.91 (~((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9111, 1838])).
% 6.76/4.91 tff(9113,plain,
% 6.76/4.91 ((((~v129(constB64, bitIndex2)) <=> v127(constB63, bitIndex2)) | ((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | ((~v129(constB64, bitIndex0)) <=> v127(constB63, bitIndex0))) | (~((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9114,plain,
% 6.76/4.91 (~((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9113, 1847])).
% 6.76/4.91 tff(9115,plain,
% 6.76/4.91 ((((~v127(constB63, bitIndex2)) <=> v130(constB63, bitIndex2)) | ((~v127(constB63, bitIndex0)) <=> v130(constB63, bitIndex0)) | ((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1))) | (~((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9116,plain,
% 6.76/4.91 (~((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9115, 1861])).
% 6.76/4.91 tff(9117,plain,
% 6.76/4.91 ((v130(constB63, bitIndex2) | v130(constB63, bitIndex0) | (~v130(constB63, bitIndex1))) | v130(constB63, bitIndex1)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9118,plain,
% 6.76/4.91 (v130(constB63, bitIndex1)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9117, 8979])).
% 6.76/4.91 tff(9119,plain,
% 6.76/4.91 (((~v127(constB63, bitIndex1)) <=> v130(constB63, bitIndex1)) | v127(constB63, bitIndex1) | (~v130(constB63, bitIndex1))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9120,plain,
% 6.76/4.91 (v127(constB63, bitIndex1)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9119, 9118, 9116])).
% 6.76/4.91 tff(9121,plain,
% 6.76/4.91 (((~v129(constB64, bitIndex1)) <=> v127(constB63, bitIndex1)) | v129(constB64, bitIndex1) | (~v127(constB63, bitIndex1))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9122,plain,
% 6.76/4.91 (v129(constB64, bitIndex1)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9121, 9120, 9114])).
% 6.76/4.91 tff(9123,plain,
% 6.76/4.91 ((((~v90(constB64, bitIndex2)) <=> v129(constB64, bitIndex2)) | ((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | ((~v90(constB64, bitIndex0)) <=> v129(constB64, bitIndex0))) | (~((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9124,plain,
% 6.76/4.91 (~((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9123, 9086])).
% 6.76/4.91 tff(9125,plain,
% 6.76/4.91 (((~v90(constB64, bitIndex1)) <=> v129(constB64, bitIndex1)) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9126,plain,
% 6.76/4.91 (v90(constB64, bitIndex1)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9125, 9124, 9122])).
% 6.76/4.91 tff(9127,plain,
% 6.76/4.91 (((~v90(constB65, bitIndex1)) <=> v90(constB64, bitIndex1)) | v90(constB65, bitIndex1) | (~v90(constB64, bitIndex1))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9128,plain,
% 6.76/4.91 (v90(constB65, bitIndex1)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9127, 9126, 9112])).
% 6.76/4.91 tff(9129,plain,
% 6.76/4.91 ((~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)))) | v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9130,plain,
% 6.76/4.91 (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9129, 9128, 9110, 9092])).
% 6.76/4.91 tff(9131,plain,
% 6.76/4.91 ((~(v121(constB65) <=> (~(v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)))))) | v121(constB65) | (v90(constB65, bitIndex2) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9132,plain,
% 6.76/4.91 (v121(constB65)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9131, 9130, 1804])).
% 6.76/4.91 tff(9133,plain,
% 6.76/4.91 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB65)) | (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)) | (~v130(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB65)) | (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)) | (~v130(constB65, bitIndex1)))))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(9134,plain,
% 6.76/4.91 (((~v121(constB65)) | (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex1)) | (~v130(constB65, bitIndex0))))) <=> ((~v121(constB65)) | (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)) | (~v130(constB65, bitIndex1)))))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(9135,plain,
% 6.76/4.91 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB65)) | (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex1)) | (~v130(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB65)) | (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)) | (~v130(constB65, bitIndex1))))))),
% 6.76/4.91 inference(monotonicity,[status(thm)],[9134])).
% 6.76/4.91 tff(9136,plain,
% 6.76/4.91 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB65)) | (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex1)) | (~v130(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB65)) | (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)) | (~v130(constB65, bitIndex1)))))),
% 6.76/4.91 inference(transitivity,[status(thm)],[9135, 9133])).
% 6.76/4.91 tff(9137,plain,
% 6.76/4.91 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB65)) | (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex1)) | (~v130(constB65, bitIndex0)))))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9138,plain,
% 6.76/4.91 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB65)) | (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)) | (~v130(constB65, bitIndex1))))),
% 6.76/4.91 inference(modus_ponens,[status(thm)],[9137, 9136])).
% 6.76/4.91 tff(9139,plain,
% 6.76/4.91 ((~v121(constB65)) | (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)) | (~v130(constB65, bitIndex1))))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9138, 4392])).
% 6.76/4.91 tff(9140,plain,
% 6.76/4.91 (~(v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)) | (~v130(constB65, bitIndex1)))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9139, 9132])).
% 6.76/4.91 tff(9141,plain,
% 6.76/4.91 ((v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)) | (~v130(constB65, bitIndex1))) | (~v130(constB65, bitIndex2))),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9142,plain,
% 6.76/4.91 (~v130(constB65, bitIndex2)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9141, 9140])).
% 6.76/4.91 tff(9143,plain,
% 6.76/4.91 (((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | (~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9144,plain,
% 6.76/4.91 (~v127(constB65, bitIndex2)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9143, 9142, 1797])).
% 6.76/4.91 tff(9145,plain,
% 6.76/4.91 (((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | (~v129(constB66, bitIndex2)) | v127(constB65, bitIndex2)),
% 6.76/4.91 inference(tautology,[status(thm)],[])).
% 6.76/4.91 tff(9146,plain,
% 6.76/4.91 (~v129(constB66, bitIndex2)),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9145, 9144, 1783])).
% 6.76/4.91 tff(9147,plain,
% 6.76/4.91 (((~![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))))))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(9148,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))))),
% 6.76/4.91 inference(quant_inst,[status(thm)],[])).
% 6.76/4.91 tff(9149,plain,
% 6.76/4.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB65, constB66)) | (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))),
% 6.76/4.91 inference(modus_ponens,[status(thm)],[9148, 9147])).
% 6.76/4.91 tff(9150,plain,
% 6.76/4.91 (v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66))))),
% 6.76/4.91 inference(unit_resolution,[status(thm)],[9149, 1777, 433])).
% 6.76/4.91 tff(9151,plain,
% 6.76/4.91 (((~![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))))))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(9152,plain,
% 6.76/4.91 (((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66)))))) <=> ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))))),
% 6.76/4.91 inference(rewrite,[status(thm)],[])).
% 6.76/4.91 tff(9153,plain,
% 6.76/4.91 (((~![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)))))))),
% 6.76/4.91 inference(monotonicity,[status(thm)],[9152])).
% 6.76/4.91 tff(9154,plain,
% 6.76/4.91 (((~![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))))))),
% 6.76/4.92 inference(transitivity,[status(thm)],[9153, 9151])).
% 6.76/4.92 tff(9155,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v102(constB66)) | (~v1(constB66))))))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9156,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))),
% 6.76/4.92 inference(modus_ponens,[status(thm)],[9155, 9154])).
% 6.76/4.92 tff(9157,plain,
% 6.76/4.92 (v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66))))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9156, 1777, 453])).
% 6.76/4.92 tff(9158,plain,
% 6.76/4.92 (((~![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)))),
% 6.76/4.92 inference(rewrite,[status(thm)],[])).
% 6.76/4.92 tff(9159,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66)))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9160,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB65, constB66)) | ((~v102(constB66)) <=> v104(constB66))),
% 6.76/4.92 inference(modus_ponens,[status(thm)],[9159, 9158])).
% 6.76/4.92 tff(9161,plain,
% 6.76/4.92 ((~v102(constB66)) <=> v104(constB66)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9160, 1777, 3966])).
% 6.76/4.92 tff(9162,plain,
% 6.76/4.92 (((~![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)))),
% 6.76/4.92 inference(rewrite,[status(thm)],[])).
% 6.76/4.92 tff(9163,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65)))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9164,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v1(constB65))),
% 6.76/4.92 inference(modus_ponens,[status(thm)],[9163, 9162])).
% 6.76/4.92 tff(9165,plain,
% 6.76/4.92 (v104(constB66) <=> v1(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9164, 1777, 3980])).
% 6.76/4.92 tff(9166,plain,
% 6.76/4.92 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66)) | v1(constB65)),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9167,plain,
% 6.76/4.92 ((~(v104(constB66) <=> v1(constB65))) | (~v104(constB66))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9166, 1821])).
% 6.76/4.92 tff(9168,plain,
% 6.76/4.92 (~v104(constB66)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9167, 9165])).
% 6.76/4.92 tff(9169,plain,
% 6.76/4.92 ((~((~v102(constB66)) <=> v104(constB66))) | v102(constB66) | v104(constB66)),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9170,plain,
% 6.76/4.92 (v102(constB66)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9169, 9168, 9161])).
% 6.76/4.92 tff(9171,plain,
% 6.76/4.92 (v1(constB66) <=> v1(constB66)),
% 6.76/4.92 inference(rewrite,[status(thm)],[])).
% 6.76/4.92 tff(9172,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66')).
% 6.76/4.92 tff(9173,plain,
% 6.76/4.92 (v1(constB66)),
% 6.76/4.92 inference(modus_ponens,[status(thm)],[9172, 9171])).
% 6.76/4.92 tff(9174,plain,
% 6.76/4.92 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v1(constB66)) | (~v102(constB66))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9175,plain,
% 6.76/4.92 ((~((~v1(constB66)) | (~v102(constB66)))) | (~v102(constB66))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9174, 9173])).
% 6.76/4.92 tff(9176,plain,
% 6.76/4.92 (~((~v1(constB66)) | (~v102(constB66)))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9175, 9170])).
% 6.76/4.92 tff(9177,plain,
% 6.76/4.92 ((~(v101(constB66) <=> (~((~v1(constB66)) | (~v102(constB66)))))) | v101(constB66) | ((~v1(constB66)) | (~v102(constB66)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9178,plain,
% 6.76/4.92 (v101(constB66)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9177, 9176, 9157])).
% 6.76/4.92 tff(9179,plain,
% 6.76/4.92 (((~![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)))),
% 6.76/4.92 inference(rewrite,[status(thm)],[])).
% 6.76/4.92 tff(9180,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65)))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9181,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB65, constB66)) | (v110(constB66) <=> v108(constB65))),
% 6.76/4.92 inference(modus_ponens,[status(thm)],[9180, 9179])).
% 6.76/4.92 tff(9182,plain,
% 6.76/4.92 (v110(constB66) <=> v108(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9181, 1777, 4007])).
% 6.76/4.92 tff(9183,plain,
% 6.76/4.92 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB65) <=> (v111(constB65) | v112(constB65)))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9184,plain,
% 6.76/4.92 (v108(constB65) <=> (v111(constB65) | v112(constB65))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9183, 4018])).
% 6.76/4.92 tff(9185,plain,
% 6.76/4.92 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9186,plain,
% 6.76/4.92 (v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65))))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9185, 4030])).
% 6.76/4.92 tff(9187,plain,
% 6.76/4.92 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB65) <=> (v114(constB65) | v125(constB65)))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9188,plain,
% 6.76/4.92 (v113(constB65) <=> (v114(constB65) | v125(constB65))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9187, 4039])).
% 6.76/4.92 tff(9189,plain,
% 6.76/4.92 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB65) <=> (v115(constB65) | v124(constB65)))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9190,plain,
% 6.76/4.92 (v114(constB65) <=> (v115(constB65) | v124(constB65))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9189, 4048])).
% 6.76/4.92 tff(9191,plain,
% 6.76/4.92 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB65) <=> (v116(constB65) | v123(constB65)))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9192,plain,
% 6.76/4.92 (v115(constB65) <=> (v116(constB65) | v123(constB65))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9191, 4057])).
% 6.76/4.92 tff(9193,plain,
% 6.76/4.92 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB65) <=> (v117(constB65) | v122(constB65)))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9194,plain,
% 6.76/4.92 (v116(constB65) <=> (v117(constB65) | v122(constB65))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9193, 4066])).
% 6.76/4.92 tff(9195,plain,
% 6.76/4.92 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB65) <=> (v118(constB65) | v121(constB65)))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9196,plain,
% 6.76/4.92 (v117(constB65) <=> (v118(constB65) | v121(constB65))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9195, 4075])).
% 6.76/4.92 tff(9197,plain,
% 6.76/4.92 ((v118(constB65) | v121(constB65)) | (~v121(constB65))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9198,plain,
% 6.76/4.92 (v118(constB65) | v121(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9197, 9132])).
% 6.76/4.92 tff(9199,plain,
% 6.76/4.92 ((~(v117(constB65) <=> (v118(constB65) | v121(constB65)))) | v117(constB65) | (~(v118(constB65) | v121(constB65)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9200,plain,
% 6.76/4.92 (v117(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9199, 9198, 9196])).
% 6.76/4.92 tff(9201,plain,
% 6.76/4.92 ((v117(constB65) | v122(constB65)) | (~v117(constB65))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9202,plain,
% 6.76/4.92 (v117(constB65) | v122(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9201, 9200])).
% 6.76/4.92 tff(9203,plain,
% 6.76/4.92 ((~(v116(constB65) <=> (v117(constB65) | v122(constB65)))) | v116(constB65) | (~(v117(constB65) | v122(constB65)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9204,plain,
% 6.76/4.92 (v116(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9203, 9202, 9194])).
% 6.76/4.92 tff(9205,plain,
% 6.76/4.92 ((v116(constB65) | v123(constB65)) | (~v116(constB65))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9206,plain,
% 6.76/4.92 (v116(constB65) | v123(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9205, 9204])).
% 6.76/4.92 tff(9207,plain,
% 6.76/4.92 ((~(v115(constB65) <=> (v116(constB65) | v123(constB65)))) | v115(constB65) | (~(v116(constB65) | v123(constB65)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9208,plain,
% 6.76/4.92 (v115(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9207, 9206, 9192])).
% 6.76/4.92 tff(9209,plain,
% 6.76/4.92 ((v115(constB65) | v124(constB65)) | (~v115(constB65))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9210,plain,
% 6.76/4.92 (v115(constB65) | v124(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9209, 9208])).
% 6.76/4.92 tff(9211,plain,
% 6.76/4.92 ((~(v114(constB65) <=> (v115(constB65) | v124(constB65)))) | v114(constB65) | (~(v115(constB65) | v124(constB65)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9212,plain,
% 6.76/4.92 (v114(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9211, 9210, 9190])).
% 6.76/4.92 tff(9213,plain,
% 6.76/4.92 ((v114(constB65) | v125(constB65)) | (~v114(constB65))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9214,plain,
% 6.76/4.92 (v114(constB65) | v125(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9213, 9212])).
% 6.76/4.92 tff(9215,plain,
% 6.76/4.92 ((~(v113(constB65) <=> (v114(constB65) | v125(constB65)))) | v113(constB65) | (~(v114(constB65) | v125(constB65)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9216,plain,
% 6.76/4.92 (v113(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9215, 9214, 9188])).
% 6.76/4.92 tff(9217,plain,
% 6.76/4.92 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB65)) <=> v111(constB65))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9218,plain,
% 6.76/4.92 ((~v126(constB65)) <=> v111(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9217, 4118])).
% 6.76/4.92 tff(9219,plain,
% 6.76/4.92 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65) | v111(constB65)),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9220,plain,
% 6.76/4.92 ((~((~v126(constB65)) <=> v111(constB65))) | v126(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9219, 1790])).
% 6.76/4.92 tff(9221,plain,
% 6.76/4.92 (v126(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9220, 9218])).
% 6.76/4.92 tff(9222,plain,
% 6.76/4.92 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65)) | (~v126(constB65))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9223,plain,
% 6.76/4.92 ((~((~v113(constB65)) | (~v126(constB65)))) | (~v113(constB65))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9222, 9221])).
% 6.76/4.92 tff(9224,plain,
% 6.76/4.92 (~((~v113(constB65)) | (~v126(constB65)))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9223, 9216])).
% 6.76/4.92 tff(9225,plain,
% 6.76/4.92 ((~(v112(constB65) <=> (~((~v113(constB65)) | (~v126(constB65)))))) | v112(constB65) | ((~v113(constB65)) | (~v126(constB65)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9226,plain,
% 6.76/4.92 (v112(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9225, 9224, 9186])).
% 6.76/4.92 tff(9227,plain,
% 6.76/4.92 ((v111(constB65) | v112(constB65)) | (~v112(constB65))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9228,plain,
% 6.76/4.92 (v111(constB65) | v112(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9227, 9226])).
% 6.76/4.92 tff(9229,plain,
% 6.76/4.92 ((~(v108(constB65) <=> (v111(constB65) | v112(constB65)))) | v108(constB65) | (~(v111(constB65) | v112(constB65)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9230,plain,
% 6.76/4.92 (v108(constB65)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9229, 9228, 9184])).
% 6.76/4.92 tff(9231,plain,
% 6.76/4.92 ((~(v110(constB66) <=> v108(constB65))) | v110(constB66) | (~v108(constB65))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9232,plain,
% 6.76/4.92 (v110(constB66)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9231, 9230, 9182])).
% 6.76/4.92 tff(9233,plain,
% 6.76/4.92 ((~((~v101(constB66)) | (~v110(constB66)))) | (~v101(constB66)) | (~v110(constB66))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9234,plain,
% 6.76/4.92 (~((~v101(constB66)) | (~v110(constB66)))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9233, 9232, 9178])).
% 6.76/4.92 tff(9235,plain,
% 6.76/4.92 ((~(v100(constB66) <=> (~((~v101(constB66)) | (~v110(constB66)))))) | v100(constB66) | ((~v101(constB66)) | (~v110(constB66)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9236,plain,
% 6.76/4.92 (v100(constB66)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9235, 9234, 9150])).
% 6.76/4.92 tff(9237,plain,
% 6.76/4.92 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.76/4.92 inference(rewrite,[status(thm)],[])).
% 6.76/4.92 tff(9238,plain,
% 6.76/4.92 (((~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)))))),
% 6.76/4.92 inference(rewrite,[status(thm)],[])).
% 6.76/4.92 tff(9239,plain,
% 6.76/4.92 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 6.76/4.92 inference(monotonicity,[status(thm)],[9238])).
% 6.76/4.92 tff(9240,plain,
% 6.76/4.92 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.76/4.92 inference(transitivity,[status(thm)],[9239, 9237])).
% 6.76/4.92 tff(9241,plain,
% 6.76/4.92 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB66)) | (~(((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)) | ((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)))))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9242,plain,
% 6.76/4.92 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB66)) | (~(((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))))),
% 6.76/4.92 inference(modus_ponens,[status(thm)],[9241, 9240])).
% 6.76/4.92 tff(9243,plain,
% 6.76/4.92 ((~v100(constB66)) | (~(((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9242, 4151])).
% 6.76/4.92 tff(9244,plain,
% 6.76/4.92 (~(((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9243, 9236])).
% 6.76/4.92 tff(9245,plain,
% 6.76/4.92 ((((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))) | (~((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9246,plain,
% 6.76/4.92 (~((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9245, 9244])).
% 6.76/4.92 tff(9247,plain,
% 6.76/4.92 (((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2)),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9248,plain,
% 6.76/4.92 (~v90(constB66, bitIndex2)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9247, 9246, 9146])).
% 6.76/4.92 tff(9249,plain,
% 6.76/4.92 (((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | (~v90(constB67, bitIndex2)) | v90(constB66, bitIndex2)),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9250,plain,
% 6.76/4.92 (~v90(constB67, bitIndex2)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9249, 9248, 1774])).
% 6.76/4.92 tff(9251,plain,
% 6.76/4.92 ((((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))) | (~((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9252,plain,
% 6.76/4.92 (~((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9251, 1772])).
% 6.76/4.92 tff(9253,plain,
% 6.76/4.92 ((((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0))) | (~((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9254,plain,
% 6.76/4.92 (~((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9253, 1781])).
% 6.76/4.92 tff(9255,plain,
% 6.76/4.92 ((((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1))) | (~((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9256,plain,
% 6.76/4.92 (~((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9255, 1795])).
% 6.76/4.92 tff(9257,plain,
% 6.76/4.92 ((v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)) | (~v130(constB65, bitIndex1))) | v130(constB65, bitIndex0)),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9258,plain,
% 6.76/4.92 (v130(constB65, bitIndex0)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9257, 9140])).
% 6.76/4.92 tff(9259,plain,
% 6.76/4.92 (((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)) | v127(constB65, bitIndex0) | (~v130(constB65, bitIndex0))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9260,plain,
% 6.76/4.92 (v127(constB65, bitIndex0)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9259, 9258, 9256])).
% 6.76/4.92 tff(9261,plain,
% 6.76/4.92 (((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0)) | v129(constB66, bitIndex0) | (~v127(constB65, bitIndex0))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9262,plain,
% 6.76/4.92 (v129(constB66, bitIndex0)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9261, 9260, 9254])).
% 6.76/4.92 tff(9263,plain,
% 6.76/4.92 ((((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))) | (~((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9264,plain,
% 6.76/4.92 (~((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9263, 9244])).
% 6.76/4.92 tff(9265,plain,
% 6.76/4.92 (((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9266,plain,
% 6.76/4.92 (v90(constB66, bitIndex0)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9265, 9264, 9262])).
% 6.76/4.92 tff(9267,plain,
% 6.76/4.92 (((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0)) | v90(constB67, bitIndex0) | (~v90(constB66, bitIndex0))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9268,plain,
% 6.76/4.92 (v90(constB67, bitIndex0)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9267, 9266, 9252])).
% 6.76/4.92 tff(9269,plain,
% 6.76/4.92 ((((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | ((~v90(constB67, bitIndex2)) <=> v90(constB66, bitIndex2)) | ((~v90(constB67, bitIndex0)) <=> v90(constB66, bitIndex0))) | (~((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9270,plain,
% 6.76/4.92 (~((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9269, 1772])).
% 6.76/4.92 tff(9271,plain,
% 6.76/4.92 ((((~v129(constB66, bitIndex2)) <=> v127(constB65, bitIndex2)) | ((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | ((~v129(constB66, bitIndex0)) <=> v127(constB65, bitIndex0))) | (~((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9272,plain,
% 6.76/4.92 (~((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9271, 1781])).
% 6.76/4.92 tff(9273,plain,
% 6.76/4.92 ((((~v127(constB65, bitIndex2)) <=> v130(constB65, bitIndex2)) | ((~v127(constB65, bitIndex0)) <=> v130(constB65, bitIndex0)) | ((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1))) | (~((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9274,plain,
% 6.76/4.92 (~((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9273, 1795])).
% 6.76/4.92 tff(9275,plain,
% 6.76/4.92 ((v130(constB65, bitIndex2) | (~v130(constB65, bitIndex0)) | (~v130(constB65, bitIndex1))) | v130(constB65, bitIndex1)),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9276,plain,
% 6.76/4.92 (v130(constB65, bitIndex1)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9275, 9140])).
% 6.76/4.92 tff(9277,plain,
% 6.76/4.92 (((~v127(constB65, bitIndex1)) <=> v130(constB65, bitIndex1)) | v127(constB65, bitIndex1) | (~v130(constB65, bitIndex1))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9278,plain,
% 6.76/4.92 (v127(constB65, bitIndex1)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9277, 9276, 9274])).
% 6.76/4.92 tff(9279,plain,
% 6.76/4.92 (((~v129(constB66, bitIndex1)) <=> v127(constB65, bitIndex1)) | v129(constB66, bitIndex1) | (~v127(constB65, bitIndex1))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9280,plain,
% 6.76/4.92 (v129(constB66, bitIndex1)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9279, 9278, 9272])).
% 6.76/4.92 tff(9281,plain,
% 6.76/4.92 ((((~v90(constB66, bitIndex0)) <=> v129(constB66, bitIndex0)) | ((~v90(constB66, bitIndex2)) <=> v129(constB66, bitIndex2)) | ((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))) | (~((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9282,plain,
% 6.76/4.92 (~((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9281, 9244])).
% 6.76/4.92 tff(9283,plain,
% 6.76/4.92 (((~v90(constB66, bitIndex1)) <=> v129(constB66, bitIndex1)) | v90(constB66, bitIndex1) | (~v129(constB66, bitIndex1))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9284,plain,
% 6.76/4.92 (v90(constB66, bitIndex1)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9283, 9282, 9280])).
% 6.76/4.92 tff(9285,plain,
% 6.76/4.92 (((~v90(constB67, bitIndex1)) <=> v90(constB66, bitIndex1)) | v90(constB67, bitIndex1) | (~v90(constB66, bitIndex1))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9286,plain,
% 6.76/4.92 (v90(constB67, bitIndex1)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9285, 9284, 9270])).
% 6.76/4.92 tff(9287,plain,
% 6.76/4.92 ((~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))) | v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9288,plain,
% 6.76/4.92 (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9287, 9286, 9268, 9250])).
% 6.76/4.92 tff(9289,plain,
% 6.76/4.92 ((~(v122(constB67) <=> (~(v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))))) | v122(constB67) | (v90(constB67, bitIndex2) | (~v90(constB67, bitIndex1)) | (~v90(constB67, bitIndex0)))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9290,plain,
% 6.76/4.92 (v122(constB67)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9289, 9288, 1738])).
% 6.76/4.92 tff(9291,plain,
% 6.76/4.92 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB67)) | (~(v130(constB67, bitIndex0) | v130(constB67, bitIndex1) | (~v130(constB67, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB67)) | (~(v130(constB67, bitIndex0) | v130(constB67, bitIndex1) | (~v130(constB67, bitIndex2)))))),
% 6.76/4.92 inference(rewrite,[status(thm)],[])).
% 6.76/4.92 tff(9292,plain,
% 6.76/4.92 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB67)) | (~(v130(constB67, bitIndex0) | v130(constB67, bitIndex1) | (~v130(constB67, bitIndex2)))))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9293,plain,
% 6.76/4.92 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB67)) | (~(v130(constB67, bitIndex0) | v130(constB67, bitIndex1) | (~v130(constB67, bitIndex2))))),
% 6.76/4.92 inference(modus_ponens,[status(thm)],[9292, 9291])).
% 6.76/4.92 tff(9294,plain,
% 6.76/4.92 ((~v122(constB67)) | (~(v130(constB67, bitIndex0) | v130(constB67, bitIndex1) | (~v130(constB67, bitIndex2))))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9293, 4563])).
% 6.76/4.92 tff(9295,plain,
% 6.76/4.92 (~(v130(constB67, bitIndex0) | v130(constB67, bitIndex1) | (~v130(constB67, bitIndex2)))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9294, 9290])).
% 6.76/4.92 tff(9296,plain,
% 6.76/4.92 ((v130(constB67, bitIndex0) | v130(constB67, bitIndex1) | (~v130(constB67, bitIndex2))) | v130(constB67, bitIndex2)),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9297,plain,
% 6.76/4.92 (v130(constB67, bitIndex2)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9296, 9295])).
% 6.76/4.92 tff(9298,plain,
% 6.76/4.92 (((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | v127(constB67, bitIndex2) | (~v130(constB67, bitIndex2))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9299,plain,
% 6.76/4.92 (v127(constB67, bitIndex2)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9298, 9297, 1731])).
% 6.76/4.92 tff(9300,plain,
% 6.76/4.92 (((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | v129(constB68, bitIndex2) | (~v127(constB67, bitIndex2))),
% 6.76/4.92 inference(tautology,[status(thm)],[])).
% 6.76/4.92 tff(9301,plain,
% 6.76/4.92 (v129(constB68, bitIndex2)),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9300, 9299, 1717])).
% 6.76/4.92 tff(9302,plain,
% 6.76/4.92 (((~![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))))))),
% 6.76/4.92 inference(rewrite,[status(thm)],[])).
% 6.76/4.92 tff(9303,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9304,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB67, constB68)) | (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))),
% 6.76/4.92 inference(modus_ponens,[status(thm)],[9303, 9302])).
% 6.76/4.92 tff(9305,plain,
% 6.76/4.92 (v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68))))),
% 6.76/4.92 inference(unit_resolution,[status(thm)],[9304, 1711, 433])).
% 6.76/4.92 tff(9306,plain,
% 6.76/4.92 (((~![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))))))),
% 6.76/4.92 inference(rewrite,[status(thm)],[])).
% 6.76/4.92 tff(9307,plain,
% 6.76/4.92 (((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68)))))) <=> ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))))),
% 6.76/4.92 inference(rewrite,[status(thm)],[])).
% 6.76/4.92 tff(9308,plain,
% 6.76/4.92 (((~![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)))))))),
% 6.76/4.92 inference(monotonicity,[status(thm)],[9307])).
% 6.76/4.92 tff(9309,plain,
% 6.76/4.92 (((~![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))))))),
% 6.76/4.92 inference(transitivity,[status(thm)],[9308, 9306])).
% 6.76/4.92 tff(9310,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v102(constB68)) | (~v1(constB68))))))),
% 6.76/4.92 inference(quant_inst,[status(thm)],[])).
% 6.76/4.92 tff(9311,plain,
% 6.76/4.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9310, 9309])).
% 6.76/4.93 tff(9312,plain,
% 6.76/4.93 (v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68))))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9311, 1711, 453])).
% 6.76/4.93 tff(9313,plain,
% 6.76/4.93 (((~![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)))),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9314,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68)))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9315,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB67, constB68)) | ((~v102(constB68)) <=> v104(constB68))),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9314, 9313])).
% 6.76/4.93 tff(9316,plain,
% 6.76/4.93 ((~v102(constB68)) <=> v104(constB68)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9315, 1711, 3966])).
% 6.76/4.93 tff(9317,plain,
% 6.76/4.93 (((~![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)))),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9318,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67)))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9319,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v1(constB67))),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9318, 9317])).
% 6.76/4.93 tff(9320,plain,
% 6.76/4.93 (v104(constB68) <=> v1(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9319, 1711, 3980])).
% 6.76/4.93 tff(9321,plain,
% 6.76/4.93 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68)) | v1(constB67)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9322,plain,
% 6.76/4.93 ((~(v104(constB68) <=> v1(constB67))) | (~v104(constB68))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9321, 1755])).
% 6.76/4.93 tff(9323,plain,
% 6.76/4.93 (~v104(constB68)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9322, 9320])).
% 6.76/4.93 tff(9324,plain,
% 6.76/4.93 ((~((~v102(constB68)) <=> v104(constB68))) | v102(constB68) | v104(constB68)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9325,plain,
% 6.76/4.93 (v102(constB68)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9324, 9323, 9316])).
% 6.76/4.93 tff(9326,plain,
% 6.76/4.93 (v1(constB68) <=> v1(constB68)),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9327,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68')).
% 6.76/4.93 tff(9328,plain,
% 6.76/4.93 (v1(constB68)),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9327, 9326])).
% 6.76/4.93 tff(9329,plain,
% 6.76/4.93 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v1(constB68)) | (~v102(constB68))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9330,plain,
% 6.76/4.93 ((~((~v1(constB68)) | (~v102(constB68)))) | (~v102(constB68))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9329, 9328])).
% 6.76/4.93 tff(9331,plain,
% 6.76/4.93 (~((~v1(constB68)) | (~v102(constB68)))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9330, 9325])).
% 6.76/4.93 tff(9332,plain,
% 6.76/4.93 ((~(v101(constB68) <=> (~((~v1(constB68)) | (~v102(constB68)))))) | v101(constB68) | ((~v1(constB68)) | (~v102(constB68)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9333,plain,
% 6.76/4.93 (v101(constB68)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9332, 9331, 9312])).
% 6.76/4.93 tff(9334,plain,
% 6.76/4.93 (((~![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)))),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9335,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67)))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9336,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB67, constB68)) | (v110(constB68) <=> v108(constB67))),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9335, 9334])).
% 6.76/4.93 tff(9337,plain,
% 6.76/4.93 (v110(constB68) <=> v108(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9336, 1711, 4007])).
% 6.76/4.93 tff(9338,plain,
% 6.76/4.93 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB67) <=> (v111(constB67) | v112(constB67)))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9339,plain,
% 6.76/4.93 (v108(constB67) <=> (v111(constB67) | v112(constB67))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9338, 4018])).
% 6.76/4.93 tff(9340,plain,
% 6.76/4.93 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9341,plain,
% 6.76/4.93 (v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67))))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9340, 4030])).
% 6.76/4.93 tff(9342,plain,
% 6.76/4.93 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB67) <=> (v114(constB67) | v125(constB67)))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9343,plain,
% 6.76/4.93 (v113(constB67) <=> (v114(constB67) | v125(constB67))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9342, 4039])).
% 6.76/4.93 tff(9344,plain,
% 6.76/4.93 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB67) <=> (v115(constB67) | v124(constB67)))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9345,plain,
% 6.76/4.93 (v114(constB67) <=> (v115(constB67) | v124(constB67))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9344, 4048])).
% 6.76/4.93 tff(9346,plain,
% 6.76/4.93 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB67) <=> (v116(constB67) | v123(constB67)))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9347,plain,
% 6.76/4.93 (v115(constB67) <=> (v116(constB67) | v123(constB67))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9346, 4057])).
% 6.76/4.93 tff(9348,plain,
% 6.76/4.93 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB67) <=> (v117(constB67) | v122(constB67)))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9349,plain,
% 6.76/4.93 (v116(constB67) <=> (v117(constB67) | v122(constB67))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9348, 4066])).
% 6.76/4.93 tff(9350,plain,
% 6.76/4.93 ((v117(constB67) | v122(constB67)) | (~v122(constB67))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9351,plain,
% 6.76/4.93 (v117(constB67) | v122(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9350, 9290])).
% 6.76/4.93 tff(9352,plain,
% 6.76/4.93 ((~(v116(constB67) <=> (v117(constB67) | v122(constB67)))) | v116(constB67) | (~(v117(constB67) | v122(constB67)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9353,plain,
% 6.76/4.93 (v116(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9352, 9351, 9349])).
% 6.76/4.93 tff(9354,plain,
% 6.76/4.93 ((v116(constB67) | v123(constB67)) | (~v116(constB67))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9355,plain,
% 6.76/4.93 (v116(constB67) | v123(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9354, 9353])).
% 6.76/4.93 tff(9356,plain,
% 6.76/4.93 ((~(v115(constB67) <=> (v116(constB67) | v123(constB67)))) | v115(constB67) | (~(v116(constB67) | v123(constB67)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9357,plain,
% 6.76/4.93 (v115(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9356, 9355, 9347])).
% 6.76/4.93 tff(9358,plain,
% 6.76/4.93 ((v115(constB67) | v124(constB67)) | (~v115(constB67))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9359,plain,
% 6.76/4.93 (v115(constB67) | v124(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9358, 9357])).
% 6.76/4.93 tff(9360,plain,
% 6.76/4.93 ((~(v114(constB67) <=> (v115(constB67) | v124(constB67)))) | v114(constB67) | (~(v115(constB67) | v124(constB67)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9361,plain,
% 6.76/4.93 (v114(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9360, 9359, 9345])).
% 6.76/4.93 tff(9362,plain,
% 6.76/4.93 ((v114(constB67) | v125(constB67)) | (~v114(constB67))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9363,plain,
% 6.76/4.93 (v114(constB67) | v125(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9362, 9361])).
% 6.76/4.93 tff(9364,plain,
% 6.76/4.93 ((~(v113(constB67) <=> (v114(constB67) | v125(constB67)))) | v113(constB67) | (~(v114(constB67) | v125(constB67)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9365,plain,
% 6.76/4.93 (v113(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9364, 9363, 9343])).
% 6.76/4.93 tff(9366,plain,
% 6.76/4.93 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB67)) <=> v111(constB67))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9367,plain,
% 6.76/4.93 ((~v126(constB67)) <=> v111(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9366, 4118])).
% 6.76/4.93 tff(9368,plain,
% 6.76/4.93 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67) | v111(constB67)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9369,plain,
% 6.76/4.93 ((~((~v126(constB67)) <=> v111(constB67))) | v126(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9368, 1724])).
% 6.76/4.93 tff(9370,plain,
% 6.76/4.93 (v126(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9369, 9367])).
% 6.76/4.93 tff(9371,plain,
% 6.76/4.93 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67)) | (~v126(constB67))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9372,plain,
% 6.76/4.93 ((~((~v113(constB67)) | (~v126(constB67)))) | (~v113(constB67))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9371, 9370])).
% 6.76/4.93 tff(9373,plain,
% 6.76/4.93 (~((~v113(constB67)) | (~v126(constB67)))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9372, 9365])).
% 6.76/4.93 tff(9374,plain,
% 6.76/4.93 ((~(v112(constB67) <=> (~((~v113(constB67)) | (~v126(constB67)))))) | v112(constB67) | ((~v113(constB67)) | (~v126(constB67)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9375,plain,
% 6.76/4.93 (v112(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9374, 9373, 9341])).
% 6.76/4.93 tff(9376,plain,
% 6.76/4.93 ((v111(constB67) | v112(constB67)) | (~v112(constB67))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9377,plain,
% 6.76/4.93 (v111(constB67) | v112(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9376, 9375])).
% 6.76/4.93 tff(9378,plain,
% 6.76/4.93 ((~(v108(constB67) <=> (v111(constB67) | v112(constB67)))) | v108(constB67) | (~(v111(constB67) | v112(constB67)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9379,plain,
% 6.76/4.93 (v108(constB67)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9378, 9377, 9339])).
% 6.76/4.93 tff(9380,plain,
% 6.76/4.93 ((~(v110(constB68) <=> v108(constB67))) | v110(constB68) | (~v108(constB67))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9381,plain,
% 6.76/4.93 (v110(constB68)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9380, 9379, 9337])).
% 6.76/4.93 tff(9382,plain,
% 6.76/4.93 ((~((~v101(constB68)) | (~v110(constB68)))) | (~v101(constB68)) | (~v110(constB68))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9383,plain,
% 6.76/4.93 (~((~v101(constB68)) | (~v110(constB68)))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9382, 9381, 9333])).
% 6.76/4.93 tff(9384,plain,
% 6.76/4.93 ((~(v100(constB68) <=> (~((~v101(constB68)) | (~v110(constB68)))))) | v100(constB68) | ((~v101(constB68)) | (~v110(constB68)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9385,plain,
% 6.76/4.93 (v100(constB68)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9384, 9383, 9305])).
% 6.76/4.93 tff(9386,plain,
% 6.76/4.93 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9387,plain,
% 6.76/4.93 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB68)) | (~(((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0)))))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9388,plain,
% 6.76/4.93 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB68)) | (~(((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))))),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9387, 9386])).
% 6.76/4.93 tff(9389,plain,
% 6.76/4.93 ((~v100(constB68)) | (~(((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9388, 4151])).
% 6.76/4.93 tff(9390,plain,
% 6.76/4.93 (~(((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0)))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9389, 9385])).
% 6.76/4.93 tff(9391,plain,
% 6.76/4.93 ((((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))) | (~((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9392,plain,
% 6.76/4.93 (~((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9391, 9390])).
% 6.76/4.93 tff(9393,plain,
% 6.76/4.93 (((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | v90(constB68, bitIndex2) | (~v129(constB68, bitIndex2))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9394,plain,
% 6.76/4.93 (v90(constB68, bitIndex2)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9393, 9392, 9301])).
% 6.76/4.93 tff(9395,plain,
% 6.76/4.93 (((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | v90(constB69, bitIndex2) | (~v90(constB68, bitIndex2))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9396,plain,
% 6.76/4.93 (v90(constB69, bitIndex2)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9395, 9394, 1708])).
% 6.76/4.93 tff(9397,plain,
% 6.76/4.93 ((((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))) | (~((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9398,plain,
% 6.76/4.93 (~((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9397, 1706])).
% 6.76/4.93 tff(9399,plain,
% 6.76/4.93 ((((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0))) | (~((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9400,plain,
% 6.76/4.93 (~((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9399, 1715])).
% 6.76/4.93 tff(9401,plain,
% 6.76/4.93 ((((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1))) | (~((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9402,plain,
% 6.76/4.93 (~((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9401, 1729])).
% 6.76/4.93 tff(9403,plain,
% 6.76/4.93 ((v130(constB67, bitIndex0) | v130(constB67, bitIndex1) | (~v130(constB67, bitIndex2))) | (~v130(constB67, bitIndex0))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9404,plain,
% 6.76/4.93 (~v130(constB67, bitIndex0)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9403, 9295])).
% 6.76/4.93 tff(9405,plain,
% 6.76/4.93 (((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)) | (~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9406,plain,
% 6.76/4.93 (~v127(constB67, bitIndex0)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9405, 9404, 9402])).
% 6.76/4.93 tff(9407,plain,
% 6.76/4.93 (((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0)) | (~v129(constB68, bitIndex0)) | v127(constB67, bitIndex0)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9408,plain,
% 6.76/4.93 (~v129(constB68, bitIndex0)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9407, 9406, 9400])).
% 6.76/4.93 tff(9409,plain,
% 6.76/4.93 ((((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))) | (~((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9410,plain,
% 6.76/4.93 (~((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9409, 9390])).
% 6.76/4.93 tff(9411,plain,
% 6.76/4.93 (((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0)) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9412,plain,
% 6.76/4.93 (~v90(constB68, bitIndex0)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9411, 9410, 9408])).
% 6.76/4.93 tff(9413,plain,
% 6.76/4.93 (((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0)) | (~v90(constB69, bitIndex0)) | v90(constB68, bitIndex0)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9414,plain,
% 6.76/4.93 (~v90(constB69, bitIndex0)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9413, 9412, 9398])).
% 6.76/4.93 tff(9415,plain,
% 6.76/4.93 ((((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | ((~v90(constB69, bitIndex2)) <=> v90(constB68, bitIndex2)) | ((~v90(constB69, bitIndex0)) <=> v90(constB68, bitIndex0))) | (~((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9416,plain,
% 6.76/4.93 (~((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9415, 1706])).
% 6.76/4.93 tff(9417,plain,
% 6.76/4.93 ((((~v129(constB68, bitIndex2)) <=> v127(constB67, bitIndex2)) | ((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | ((~v129(constB68, bitIndex0)) <=> v127(constB67, bitIndex0))) | (~((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9418,plain,
% 6.76/4.93 (~((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9417, 1715])).
% 6.76/4.93 tff(9419,plain,
% 6.76/4.93 ((((~v127(constB67, bitIndex2)) <=> v130(constB67, bitIndex2)) | ((~v127(constB67, bitIndex0)) <=> v130(constB67, bitIndex0)) | ((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1))) | (~((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9420,plain,
% 6.76/4.93 (~((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9419, 1729])).
% 6.76/4.93 tff(9421,plain,
% 6.76/4.93 ((v130(constB67, bitIndex0) | v130(constB67, bitIndex1) | (~v130(constB67, bitIndex2))) | (~v130(constB67, bitIndex1))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9422,plain,
% 6.76/4.93 (~v130(constB67, bitIndex1)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9421, 9295])).
% 6.76/4.93 tff(9423,plain,
% 6.76/4.93 (((~v127(constB67, bitIndex1)) <=> v130(constB67, bitIndex1)) | (~v127(constB67, bitIndex1)) | v130(constB67, bitIndex1)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9424,plain,
% 6.76/4.93 (~v127(constB67, bitIndex1)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9423, 9422, 9420])).
% 6.76/4.93 tff(9425,plain,
% 6.76/4.93 (((~v129(constB68, bitIndex1)) <=> v127(constB67, bitIndex1)) | (~v129(constB68, bitIndex1)) | v127(constB67, bitIndex1)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9426,plain,
% 6.76/4.93 (~v129(constB68, bitIndex1)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9425, 9424, 9418])).
% 6.76/4.93 tff(9427,plain,
% 6.76/4.93 ((((~v90(constB68, bitIndex2)) <=> v129(constB68, bitIndex2)) | ((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | ((~v90(constB68, bitIndex0)) <=> v129(constB68, bitIndex0))) | (~((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9428,plain,
% 6.76/4.93 (~((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9427, 9390])).
% 6.76/4.93 tff(9429,plain,
% 6.76/4.93 (((~v90(constB68, bitIndex1)) <=> v129(constB68, bitIndex1)) | (~v90(constB68, bitIndex1)) | v129(constB68, bitIndex1)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9430,plain,
% 6.76/4.93 (~v90(constB68, bitIndex1)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9429, 9428, 9426])).
% 6.76/4.93 tff(9431,plain,
% 6.76/4.93 (((~v90(constB69, bitIndex1)) <=> v90(constB68, bitIndex1)) | (~v90(constB69, bitIndex1)) | v90(constB68, bitIndex1)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9432,plain,
% 6.76/4.93 (~v90(constB69, bitIndex1)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9431, 9430, 9416])).
% 6.76/4.93 tff(9433,plain,
% 6.76/4.93 ((~(v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2)))) | v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9434,plain,
% 6.76/4.93 (~(v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2)))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9433, 9432, 9414, 9396])).
% 6.76/4.93 tff(9435,plain,
% 6.76/4.93 ((~(v123(constB69) <=> (~(v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2)))))) | v123(constB69) | (v90(constB69, bitIndex1) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex2)))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9436,plain,
% 6.76/4.93 (v123(constB69)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9435, 9434, 1672])).
% 6.76/4.93 tff(9437,plain,
% 6.76/4.93 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB69)) | (~(v130(constB69, bitIndex1) | (~v130(constB69, bitIndex2)) | (~v130(constB69, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB69)) | (~(v130(constB69, bitIndex1) | (~v130(constB69, bitIndex2)) | (~v130(constB69, bitIndex0)))))),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9438,plain,
% 6.76/4.93 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB69)) | (~(v130(constB69, bitIndex1) | (~v130(constB69, bitIndex2)) | (~v130(constB69, bitIndex0)))))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9439,plain,
% 6.76/4.93 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB69)) | (~(v130(constB69, bitIndex1) | (~v130(constB69, bitIndex2)) | (~v130(constB69, bitIndex0))))),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9438, 9437])).
% 6.76/4.93 tff(9440,plain,
% 6.76/4.93 ((~v123(constB69)) | (~(v130(constB69, bitIndex1) | (~v130(constB69, bitIndex2)) | (~v130(constB69, bitIndex0))))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9439, 4722])).
% 6.76/4.93 tff(9441,plain,
% 6.76/4.93 (~(v130(constB69, bitIndex1) | (~v130(constB69, bitIndex2)) | (~v130(constB69, bitIndex0)))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9440, 9436])).
% 6.76/4.93 tff(9442,plain,
% 6.76/4.93 ((v130(constB69, bitIndex1) | (~v130(constB69, bitIndex2)) | (~v130(constB69, bitIndex0))) | v130(constB69, bitIndex2)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9443,plain,
% 6.76/4.93 (v130(constB69, bitIndex2)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9442, 9441])).
% 6.76/4.93 tff(9444,plain,
% 6.76/4.93 (((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | v127(constB69, bitIndex2) | (~v130(constB69, bitIndex2))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9445,plain,
% 6.76/4.93 (v127(constB69, bitIndex2)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9444, 9443, 1665])).
% 6.76/4.93 tff(9446,plain,
% 6.76/4.93 (((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | v129(constB70, bitIndex2) | (~v127(constB69, bitIndex2))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9447,plain,
% 6.76/4.93 (v129(constB70, bitIndex2)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9446, 9445, 1651])).
% 6.76/4.93 tff(9448,plain,
% 6.76/4.93 (((~![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))))))),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9449,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9450,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB69, constB70)) | (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9449, 9448])).
% 6.76/4.93 tff(9451,plain,
% 6.76/4.93 (v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70))))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9450, 1645, 433])).
% 6.76/4.93 tff(9452,plain,
% 6.76/4.93 (((~![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))))))),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9453,plain,
% 6.76/4.93 (((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70)))))) <=> ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))))),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9454,plain,
% 6.76/4.93 (((~![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)))))))),
% 6.76/4.93 inference(monotonicity,[status(thm)],[9453])).
% 6.76/4.93 tff(9455,plain,
% 6.76/4.93 (((~![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))))))),
% 6.76/4.93 inference(transitivity,[status(thm)],[9454, 9452])).
% 6.76/4.93 tff(9456,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v102(constB70)) | (~v1(constB70))))))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9457,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9456, 9455])).
% 6.76/4.93 tff(9458,plain,
% 6.76/4.93 (v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70))))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9457, 1645, 453])).
% 6.76/4.93 tff(9459,plain,
% 6.76/4.93 (((~![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)))),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9460,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70)))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9461,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB69, constB70)) | ((~v102(constB70)) <=> v104(constB70))),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9460, 9459])).
% 6.76/4.93 tff(9462,plain,
% 6.76/4.93 ((~v102(constB70)) <=> v104(constB70)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9461, 1645, 3966])).
% 6.76/4.93 tff(9463,plain,
% 6.76/4.93 (((~![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)))),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9464,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69)))),
% 6.76/4.93 inference(quant_inst,[status(thm)],[])).
% 6.76/4.93 tff(9465,plain,
% 6.76/4.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v1(constB69))),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9464, 9463])).
% 6.76/4.93 tff(9466,plain,
% 6.76/4.93 (v104(constB70) <=> v1(constB69)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9465, 1645, 3980])).
% 6.76/4.93 tff(9467,plain,
% 6.76/4.93 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70)) | v1(constB69)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9468,plain,
% 6.76/4.93 ((~(v104(constB70) <=> v1(constB69))) | (~v104(constB70))),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9467, 1689])).
% 6.76/4.93 tff(9469,plain,
% 6.76/4.93 (~v104(constB70)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9468, 9466])).
% 6.76/4.93 tff(9470,plain,
% 6.76/4.93 ((~((~v102(constB70)) <=> v104(constB70))) | v102(constB70) | v104(constB70)),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9471,plain,
% 6.76/4.93 (v102(constB70)),
% 6.76/4.93 inference(unit_resolution,[status(thm)],[9470, 9469, 9462])).
% 6.76/4.93 tff(9472,plain,
% 6.76/4.93 (v1(constB70) <=> v1(constB70)),
% 6.76/4.93 inference(rewrite,[status(thm)],[])).
% 6.76/4.93 tff(9473,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70')).
% 6.76/4.93 tff(9474,plain,
% 6.76/4.93 (v1(constB70)),
% 6.76/4.93 inference(modus_ponens,[status(thm)],[9473, 9472])).
% 6.76/4.93 tff(9475,plain,
% 6.76/4.93 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v1(constB70)) | (~v102(constB70))),
% 6.76/4.93 inference(tautology,[status(thm)],[])).
% 6.76/4.93 tff(9476,plain,
% 6.76/4.93 ((~((~v1(constB70)) | (~v102(constB70)))) | (~v102(constB70))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9475, 9474])).
% 6.76/4.94 tff(9477,plain,
% 6.76/4.94 (~((~v1(constB70)) | (~v102(constB70)))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9476, 9471])).
% 6.76/4.94 tff(9478,plain,
% 6.76/4.94 ((~(v101(constB70) <=> (~((~v1(constB70)) | (~v102(constB70)))))) | v101(constB70) | ((~v1(constB70)) | (~v102(constB70)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9479,plain,
% 6.76/4.94 (v101(constB70)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9478, 9477, 9458])).
% 6.76/4.94 tff(9480,plain,
% 6.76/4.94 (((~![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)))),
% 6.76/4.94 inference(rewrite,[status(thm)],[])).
% 6.76/4.94 tff(9481,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69)))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9482,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB69, constB70)) | (v110(constB70) <=> v108(constB69))),
% 6.76/4.94 inference(modus_ponens,[status(thm)],[9481, 9480])).
% 6.76/4.94 tff(9483,plain,
% 6.76/4.94 (v110(constB70) <=> v108(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9482, 1645, 4007])).
% 6.76/4.94 tff(9484,plain,
% 6.76/4.94 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB69) <=> (v111(constB69) | v112(constB69)))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9485,plain,
% 6.76/4.94 (v108(constB69) <=> (v111(constB69) | v112(constB69))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9484, 4018])).
% 6.76/4.94 tff(9486,plain,
% 6.76/4.94 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9487,plain,
% 6.76/4.94 (v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69))))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9486, 4030])).
% 6.76/4.94 tff(9488,plain,
% 6.76/4.94 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB69) <=> (v114(constB69) | v125(constB69)))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9489,plain,
% 6.76/4.94 (v113(constB69) <=> (v114(constB69) | v125(constB69))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9488, 4039])).
% 6.76/4.94 tff(9490,plain,
% 6.76/4.94 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB69) <=> (v115(constB69) | v124(constB69)))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9491,plain,
% 6.76/4.94 (v114(constB69) <=> (v115(constB69) | v124(constB69))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9490, 4048])).
% 6.76/4.94 tff(9492,plain,
% 6.76/4.94 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB69) <=> (v116(constB69) | v123(constB69)))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9493,plain,
% 6.76/4.94 (v115(constB69) <=> (v116(constB69) | v123(constB69))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9492, 4057])).
% 6.76/4.94 tff(9494,plain,
% 6.76/4.94 ((v116(constB69) | v123(constB69)) | (~v123(constB69))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9495,plain,
% 6.76/4.94 (v116(constB69) | v123(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9494, 9436])).
% 6.76/4.94 tff(9496,plain,
% 6.76/4.94 ((~(v115(constB69) <=> (v116(constB69) | v123(constB69)))) | v115(constB69) | (~(v116(constB69) | v123(constB69)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9497,plain,
% 6.76/4.94 (v115(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9496, 9495, 9493])).
% 6.76/4.94 tff(9498,plain,
% 6.76/4.94 ((v115(constB69) | v124(constB69)) | (~v115(constB69))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9499,plain,
% 6.76/4.94 (v115(constB69) | v124(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9498, 9497])).
% 6.76/4.94 tff(9500,plain,
% 6.76/4.94 ((~(v114(constB69) <=> (v115(constB69) | v124(constB69)))) | v114(constB69) | (~(v115(constB69) | v124(constB69)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9501,plain,
% 6.76/4.94 (v114(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9500, 9499, 9491])).
% 6.76/4.94 tff(9502,plain,
% 6.76/4.94 ((v114(constB69) | v125(constB69)) | (~v114(constB69))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9503,plain,
% 6.76/4.94 (v114(constB69) | v125(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9502, 9501])).
% 6.76/4.94 tff(9504,plain,
% 6.76/4.94 ((~(v113(constB69) <=> (v114(constB69) | v125(constB69)))) | v113(constB69) | (~(v114(constB69) | v125(constB69)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9505,plain,
% 6.76/4.94 (v113(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9504, 9503, 9489])).
% 6.76/4.94 tff(9506,plain,
% 6.76/4.94 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB69)) <=> v111(constB69))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9507,plain,
% 6.76/4.94 ((~v126(constB69)) <=> v111(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9506, 4118])).
% 6.76/4.94 tff(9508,plain,
% 6.76/4.94 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69) | v111(constB69)),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9509,plain,
% 6.76/4.94 ((~((~v126(constB69)) <=> v111(constB69))) | v126(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9508, 1658])).
% 6.76/4.94 tff(9510,plain,
% 6.76/4.94 (v126(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9509, 9507])).
% 6.76/4.94 tff(9511,plain,
% 6.76/4.94 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69)) | (~v126(constB69))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9512,plain,
% 6.76/4.94 ((~((~v113(constB69)) | (~v126(constB69)))) | (~v113(constB69))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9511, 9510])).
% 6.76/4.94 tff(9513,plain,
% 6.76/4.94 (~((~v113(constB69)) | (~v126(constB69)))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9512, 9505])).
% 6.76/4.94 tff(9514,plain,
% 6.76/4.94 ((~(v112(constB69) <=> (~((~v113(constB69)) | (~v126(constB69)))))) | v112(constB69) | ((~v113(constB69)) | (~v126(constB69)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9515,plain,
% 6.76/4.94 (v112(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9514, 9513, 9487])).
% 6.76/4.94 tff(9516,plain,
% 6.76/4.94 ((v111(constB69) | v112(constB69)) | (~v112(constB69))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9517,plain,
% 6.76/4.94 (v111(constB69) | v112(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9516, 9515])).
% 6.76/4.94 tff(9518,plain,
% 6.76/4.94 ((~(v108(constB69) <=> (v111(constB69) | v112(constB69)))) | v108(constB69) | (~(v111(constB69) | v112(constB69)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9519,plain,
% 6.76/4.94 (v108(constB69)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9518, 9517, 9485])).
% 6.76/4.94 tff(9520,plain,
% 6.76/4.94 ((~(v110(constB70) <=> v108(constB69))) | v110(constB70) | (~v108(constB69))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9521,plain,
% 6.76/4.94 (v110(constB70)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9520, 9519, 9483])).
% 6.76/4.94 tff(9522,plain,
% 6.76/4.94 ((~((~v101(constB70)) | (~v110(constB70)))) | (~v101(constB70)) | (~v110(constB70))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9523,plain,
% 6.76/4.94 (~((~v101(constB70)) | (~v110(constB70)))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9522, 9521, 9479])).
% 6.76/4.94 tff(9524,plain,
% 6.76/4.94 ((~(v100(constB70) <=> (~((~v101(constB70)) | (~v110(constB70)))))) | v100(constB70) | ((~v101(constB70)) | (~v110(constB70)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9525,plain,
% 6.76/4.94 (v100(constB70)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9524, 9523, 9451])).
% 6.76/4.94 tff(9526,plain,
% 6.76/4.94 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.76/4.94 inference(rewrite,[status(thm)],[])).
% 6.76/4.94 tff(9527,plain,
% 6.76/4.94 (((~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)))))),
% 6.76/4.94 inference(rewrite,[status(thm)],[])).
% 6.76/4.94 tff(9528,plain,
% 6.76/4.94 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 6.76/4.94 inference(monotonicity,[status(thm)],[9527])).
% 6.76/4.94 tff(9529,plain,
% 6.76/4.94 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.76/4.94 inference(transitivity,[status(thm)],[9528, 9526])).
% 6.76/4.94 tff(9530,plain,
% 6.76/4.94 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB70)) | (~(((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)) | ((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)))))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9531,plain,
% 6.76/4.94 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB70)) | (~(((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))))),
% 6.76/4.94 inference(modus_ponens,[status(thm)],[9530, 9529])).
% 6.76/4.94 tff(9532,plain,
% 6.76/4.94 ((~v100(constB70)) | (~(((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9531, 4151])).
% 6.76/4.94 tff(9533,plain,
% 6.76/4.94 (~(((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9532, 9525])).
% 6.76/4.94 tff(9534,plain,
% 6.76/4.94 ((((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))) | (~((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9535,plain,
% 6.76/4.94 (~((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9534, 9533])).
% 6.76/4.94 tff(9536,plain,
% 6.76/4.94 (((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | v90(constB70, bitIndex2) | (~v129(constB70, bitIndex2))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9537,plain,
% 6.76/4.94 (v90(constB70, bitIndex2)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9536, 9535, 9447])).
% 6.76/4.94 tff(9538,plain,
% 6.76/4.94 (((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | v90(constB71, bitIndex2) | (~v90(constB70, bitIndex2))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9539,plain,
% 6.76/4.94 (v90(constB71, bitIndex2)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9538, 9537, 1642])).
% 6.76/4.94 tff(9540,plain,
% 6.76/4.94 ((((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))) | (~((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9541,plain,
% 6.76/4.94 (~((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9540, 1640])).
% 6.76/4.94 tff(9542,plain,
% 6.76/4.94 ((((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0))) | (~((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9543,plain,
% 6.76/4.94 (~((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9542, 1649])).
% 6.76/4.94 tff(9544,plain,
% 6.76/4.94 ((((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1))) | (~((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9545,plain,
% 6.76/4.94 (~((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9544, 1663])).
% 6.76/4.94 tff(9546,plain,
% 6.76/4.94 ((v130(constB69, bitIndex1) | (~v130(constB69, bitIndex2)) | (~v130(constB69, bitIndex0))) | v130(constB69, bitIndex0)),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9547,plain,
% 6.76/4.94 (v130(constB69, bitIndex0)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9546, 9441])).
% 6.76/4.94 tff(9548,plain,
% 6.76/4.94 (((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)) | v127(constB69, bitIndex0) | (~v130(constB69, bitIndex0))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9549,plain,
% 6.76/4.94 (v127(constB69, bitIndex0)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9548, 9547, 9545])).
% 6.76/4.94 tff(9550,plain,
% 6.76/4.94 (((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0)) | v129(constB70, bitIndex0) | (~v127(constB69, bitIndex0))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9551,plain,
% 6.76/4.94 (v129(constB70, bitIndex0)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9550, 9549, 9543])).
% 6.76/4.94 tff(9552,plain,
% 6.76/4.94 ((((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))) | (~((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9553,plain,
% 6.76/4.94 (~((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9552, 9533])).
% 6.76/4.94 tff(9554,plain,
% 6.76/4.94 (((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9555,plain,
% 6.76/4.94 (v90(constB70, bitIndex0)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9554, 9553, 9551])).
% 6.76/4.94 tff(9556,plain,
% 6.76/4.94 (((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0)) | v90(constB71, bitIndex0) | (~v90(constB70, bitIndex0))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9557,plain,
% 6.76/4.94 (v90(constB71, bitIndex0)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9556, 9555, 9541])).
% 6.76/4.94 tff(9558,plain,
% 6.76/4.94 ((((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | ((~v90(constB71, bitIndex2)) <=> v90(constB70, bitIndex2)) | ((~v90(constB71, bitIndex0)) <=> v90(constB70, bitIndex0))) | (~((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9559,plain,
% 6.76/4.94 (~((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9558, 1640])).
% 6.76/4.94 tff(9560,plain,
% 6.76/4.94 ((((~v129(constB70, bitIndex2)) <=> v127(constB69, bitIndex2)) | ((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | ((~v129(constB70, bitIndex0)) <=> v127(constB69, bitIndex0))) | (~((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9561,plain,
% 6.76/4.94 (~((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9560, 1649])).
% 6.76/4.94 tff(9562,plain,
% 6.76/4.94 ((((~v127(constB69, bitIndex2)) <=> v130(constB69, bitIndex2)) | ((~v127(constB69, bitIndex0)) <=> v130(constB69, bitIndex0)) | ((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1))) | (~((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9563,plain,
% 6.76/4.94 (~((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9562, 1663])).
% 6.76/4.94 tff(9564,plain,
% 6.76/4.94 ((v130(constB69, bitIndex1) | (~v130(constB69, bitIndex2)) | (~v130(constB69, bitIndex0))) | (~v130(constB69, bitIndex1))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9565,plain,
% 6.76/4.94 (~v130(constB69, bitIndex1)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9564, 9441])).
% 6.76/4.94 tff(9566,plain,
% 6.76/4.94 (((~v127(constB69, bitIndex1)) <=> v130(constB69, bitIndex1)) | (~v127(constB69, bitIndex1)) | v130(constB69, bitIndex1)),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9567,plain,
% 6.76/4.94 (~v127(constB69, bitIndex1)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9566, 9565, 9563])).
% 6.76/4.94 tff(9568,plain,
% 6.76/4.94 (((~v129(constB70, bitIndex1)) <=> v127(constB69, bitIndex1)) | (~v129(constB70, bitIndex1)) | v127(constB69, bitIndex1)),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9569,plain,
% 6.76/4.94 (~v129(constB70, bitIndex1)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9568, 9567, 9561])).
% 6.76/4.94 tff(9570,plain,
% 6.76/4.94 ((((~v90(constB70, bitIndex0)) <=> v129(constB70, bitIndex0)) | ((~v90(constB70, bitIndex2)) <=> v129(constB70, bitIndex2)) | ((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))) | (~((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9571,plain,
% 6.76/4.94 (~((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9570, 9533])).
% 6.76/4.94 tff(9572,plain,
% 6.76/4.94 (((~v90(constB70, bitIndex1)) <=> v129(constB70, bitIndex1)) | (~v90(constB70, bitIndex1)) | v129(constB70, bitIndex1)),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9573,plain,
% 6.76/4.94 (~v90(constB70, bitIndex1)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9572, 9571, 9569])).
% 6.76/4.94 tff(9574,plain,
% 6.76/4.94 (((~v90(constB71, bitIndex1)) <=> v90(constB70, bitIndex1)) | (~v90(constB71, bitIndex1)) | v90(constB70, bitIndex1)),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9575,plain,
% 6.76/4.94 (~v90(constB71, bitIndex1)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9574, 9573, 9559])).
% 6.76/4.94 tff(9576,plain,
% 6.76/4.94 ((~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0)))) | v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9577,plain,
% 6.76/4.94 (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0)))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9576, 9575, 9557, 9539])).
% 6.76/4.94 tff(9578,plain,
% 6.76/4.94 ((~(v124(constB71) <=> (~(v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0)))))) | v124(constB71) | (v90(constB71, bitIndex1) | (~v90(constB71, bitIndex2)) | (~v90(constB71, bitIndex0)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9579,plain,
% 6.76/4.94 (v124(constB71)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9578, 9577, 1606])).
% 6.76/4.94 tff(9580,plain,
% 6.76/4.94 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB71)) | (~(v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)) | (~v130(constB71, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB71)) | (~(v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)) | (~v130(constB71, bitIndex1)))))),
% 6.76/4.94 inference(rewrite,[status(thm)],[])).
% 6.76/4.94 tff(9581,plain,
% 6.76/4.94 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB71)) | (~(v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)) | (~v130(constB71, bitIndex1)))))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9582,plain,
% 6.76/4.94 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB71)) | (~(v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)) | (~v130(constB71, bitIndex1))))),
% 6.76/4.94 inference(modus_ponens,[status(thm)],[9581, 9580])).
% 6.76/4.94 tff(9583,plain,
% 6.76/4.94 ((~v124(constB71)) | (~(v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)) | (~v130(constB71, bitIndex1))))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9582, 4878])).
% 6.76/4.94 tff(9584,plain,
% 6.76/4.94 (~(v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)) | (~v130(constB71, bitIndex1)))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9583, 9579])).
% 6.76/4.94 tff(9585,plain,
% 6.76/4.94 ((v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)) | (~v130(constB71, bitIndex1))) | v130(constB71, bitIndex2)),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9586,plain,
% 6.76/4.94 (v130(constB71, bitIndex2)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9585, 9584])).
% 6.76/4.94 tff(9587,plain,
% 6.76/4.94 (((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | v127(constB71, bitIndex2) | (~v130(constB71, bitIndex2))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9588,plain,
% 6.76/4.94 (v127(constB71, bitIndex2)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9587, 9586, 1599])).
% 6.76/4.94 tff(9589,plain,
% 6.76/4.94 (((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | v129(constB72, bitIndex2) | (~v127(constB71, bitIndex2))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9590,plain,
% 6.76/4.94 (v129(constB72, bitIndex2)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9589, 9588, 1585])).
% 6.76/4.94 tff(9591,plain,
% 6.76/4.94 (((~![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))))))),
% 6.76/4.94 inference(rewrite,[status(thm)],[])).
% 6.76/4.94 tff(9592,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9593,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB71, constB72)) | (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))),
% 6.76/4.94 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 6.76/4.94 tff(9594,plain,
% 6.76/4.94 (v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72))))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9593, 1579, 433])).
% 6.76/4.94 tff(9595,plain,
% 6.76/4.94 (((~![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))))))),
% 6.76/4.94 inference(rewrite,[status(thm)],[])).
% 6.76/4.94 tff(9596,plain,
% 6.76/4.94 (((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72)))))) <=> ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 6.76/4.94 inference(rewrite,[status(thm)],[])).
% 6.76/4.94 tff(9597,plain,
% 6.76/4.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))))),
% 6.76/4.94 inference(monotonicity,[status(thm)],[9596])).
% 6.76/4.94 tff(9598,plain,
% 6.76/4.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))))),
% 6.76/4.94 inference(transitivity,[status(thm)],[9597, 9595])).
% 6.76/4.94 tff(9599,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v102(constB72)) | (~v1(constB72))))))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9600,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))),
% 6.76/4.94 inference(modus_ponens,[status(thm)],[9599, 9598])).
% 6.76/4.94 tff(9601,plain,
% 6.76/4.94 (v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72))))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9600, 1579, 453])).
% 6.76/4.94 tff(9602,plain,
% 6.76/4.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))),
% 6.76/4.94 inference(rewrite,[status(thm)],[])).
% 6.76/4.94 tff(9603,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72)))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9604,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB71, constB72)) | ((~v102(constB72)) <=> v104(constB72))),
% 6.76/4.94 inference(modus_ponens,[status(thm)],[9603, 9602])).
% 6.76/4.94 tff(9605,plain,
% 6.76/4.94 ((~v102(constB72)) <=> v104(constB72)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9604, 1579, 3966])).
% 6.76/4.94 tff(9606,plain,
% 6.76/4.94 (((~![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)))),
% 6.76/4.94 inference(rewrite,[status(thm)],[])).
% 6.76/4.94 tff(9607,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71)))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9608,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v1(constB71))),
% 6.76/4.94 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 6.76/4.94 tff(9609,plain,
% 6.76/4.94 (v104(constB72) <=> v1(constB71)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9608, 1579, 3980])).
% 6.76/4.94 tff(9610,plain,
% 6.76/4.94 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72)) | v1(constB71)),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9611,plain,
% 6.76/4.94 ((~(v104(constB72) <=> v1(constB71))) | (~v104(constB72))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9610, 1623])).
% 6.76/4.94 tff(9612,plain,
% 6.76/4.94 (~v104(constB72)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9611, 9609])).
% 6.76/4.94 tff(9613,plain,
% 6.76/4.94 ((~((~v102(constB72)) <=> v104(constB72))) | v102(constB72) | v104(constB72)),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9614,plain,
% 6.76/4.94 (v102(constB72)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9613, 9612, 9605])).
% 6.76/4.94 tff(9615,plain,
% 6.76/4.94 (v1(constB72) <=> v1(constB72)),
% 6.76/4.94 inference(rewrite,[status(thm)],[])).
% 6.76/4.94 tff(9616,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72')).
% 6.76/4.94 tff(9617,plain,
% 6.76/4.94 (v1(constB72)),
% 6.76/4.94 inference(modus_ponens,[status(thm)],[9616, 9615])).
% 6.76/4.94 tff(9618,plain,
% 6.76/4.94 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v1(constB72)) | (~v102(constB72))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9619,plain,
% 6.76/4.94 ((~((~v1(constB72)) | (~v102(constB72)))) | (~v102(constB72))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9618, 9617])).
% 6.76/4.94 tff(9620,plain,
% 6.76/4.94 (~((~v1(constB72)) | (~v102(constB72)))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9619, 9614])).
% 6.76/4.94 tff(9621,plain,
% 6.76/4.94 ((~(v101(constB72) <=> (~((~v1(constB72)) | (~v102(constB72)))))) | v101(constB72) | ((~v1(constB72)) | (~v102(constB72)))),
% 6.76/4.94 inference(tautology,[status(thm)],[])).
% 6.76/4.94 tff(9622,plain,
% 6.76/4.94 (v101(constB72)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9621, 9620, 9601])).
% 6.76/4.94 tff(9623,plain,
% 6.76/4.94 (((~![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)))),
% 6.76/4.94 inference(rewrite,[status(thm)],[])).
% 6.76/4.94 tff(9624,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71)))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9625,plain,
% 6.76/4.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB71, constB72)) | (v110(constB72) <=> v108(constB71))),
% 6.76/4.94 inference(modus_ponens,[status(thm)],[9624, 9623])).
% 6.76/4.94 tff(9626,plain,
% 6.76/4.94 (v110(constB72) <=> v108(constB71)),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9625, 1579, 4007])).
% 6.76/4.94 tff(9627,plain,
% 6.76/4.94 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB71) <=> (v111(constB71) | v112(constB71)))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.94 tff(9628,plain,
% 6.76/4.94 (v108(constB71) <=> (v111(constB71) | v112(constB71))),
% 6.76/4.94 inference(unit_resolution,[status(thm)],[9627, 4018])).
% 6.76/4.94 tff(9629,plain,
% 6.76/4.94 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))),
% 6.76/4.94 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(9630,plain,
% 6.76/4.95 (v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9629, 4030])).
% 6.76/4.95 tff(9631,plain,
% 6.76/4.95 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB71) <=> (v114(constB71) | v125(constB71)))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(9632,plain,
% 6.76/4.95 (v113(constB71) <=> (v114(constB71) | v125(constB71))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9631, 4039])).
% 6.76/4.95 tff(9633,plain,
% 6.76/4.95 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB71) <=> (v115(constB71) | v124(constB71)))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(9634,plain,
% 6.76/4.95 (v114(constB71) <=> (v115(constB71) | v124(constB71))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9633, 4048])).
% 6.76/4.95 tff(9635,plain,
% 6.76/4.95 ((v115(constB71) | v124(constB71)) | (~v124(constB71))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9636,plain,
% 6.76/4.95 (v115(constB71) | v124(constB71)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9635, 9579])).
% 6.76/4.95 tff(9637,plain,
% 6.76/4.95 ((~(v114(constB71) <=> (v115(constB71) | v124(constB71)))) | v114(constB71) | (~(v115(constB71) | v124(constB71)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9638,plain,
% 6.76/4.95 (v114(constB71)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9637, 9636, 9634])).
% 6.76/4.95 tff(9639,plain,
% 6.76/4.95 ((v114(constB71) | v125(constB71)) | (~v114(constB71))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9640,plain,
% 6.76/4.95 (v114(constB71) | v125(constB71)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9639, 9638])).
% 6.76/4.95 tff(9641,plain,
% 6.76/4.95 ((~(v113(constB71) <=> (v114(constB71) | v125(constB71)))) | v113(constB71) | (~(v114(constB71) | v125(constB71)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9642,plain,
% 6.76/4.95 (v113(constB71)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9641, 9640, 9632])).
% 6.76/4.95 tff(9643,plain,
% 6.76/4.95 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB71)) <=> v111(constB71))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(9644,plain,
% 6.76/4.95 ((~v126(constB71)) <=> v111(constB71)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9643, 4118])).
% 6.76/4.95 tff(9645,plain,
% 6.76/4.95 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71) | v111(constB71)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9646,plain,
% 6.76/4.95 ((~((~v126(constB71)) <=> v111(constB71))) | v126(constB71)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9645, 1592])).
% 6.76/4.95 tff(9647,plain,
% 6.76/4.95 (v126(constB71)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9646, 9644])).
% 6.76/4.95 tff(9648,plain,
% 6.76/4.95 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71)) | (~v126(constB71))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9649,plain,
% 6.76/4.95 ((~((~v113(constB71)) | (~v126(constB71)))) | (~v113(constB71))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9648, 9647])).
% 6.76/4.95 tff(9650,plain,
% 6.76/4.95 (~((~v113(constB71)) | (~v126(constB71)))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9649, 9642])).
% 6.76/4.95 tff(9651,plain,
% 6.76/4.95 ((~(v112(constB71) <=> (~((~v113(constB71)) | (~v126(constB71)))))) | v112(constB71) | ((~v113(constB71)) | (~v126(constB71)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9652,plain,
% 6.76/4.95 (v112(constB71)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9651, 9650, 9630])).
% 6.76/4.95 tff(9653,plain,
% 6.76/4.95 ((v111(constB71) | v112(constB71)) | (~v112(constB71))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9654,plain,
% 6.76/4.95 (v111(constB71) | v112(constB71)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9653, 9652])).
% 6.76/4.95 tff(9655,plain,
% 6.76/4.95 ((~(v108(constB71) <=> (v111(constB71) | v112(constB71)))) | v108(constB71) | (~(v111(constB71) | v112(constB71)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9656,plain,
% 6.76/4.95 (v108(constB71)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9655, 9654, 9628])).
% 6.76/4.95 tff(9657,plain,
% 6.76/4.95 ((~(v110(constB72) <=> v108(constB71))) | v110(constB72) | (~v108(constB71))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9658,plain,
% 6.76/4.95 (v110(constB72)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9657, 9656, 9626])).
% 6.76/4.95 tff(9659,plain,
% 6.76/4.95 ((~((~v101(constB72)) | (~v110(constB72)))) | (~v101(constB72)) | (~v110(constB72))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9660,plain,
% 6.76/4.95 (~((~v101(constB72)) | (~v110(constB72)))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9659, 9658, 9622])).
% 6.76/4.95 tff(9661,plain,
% 6.76/4.95 ((~(v100(constB72) <=> (~((~v101(constB72)) | (~v110(constB72)))))) | v100(constB72) | ((~v101(constB72)) | (~v110(constB72)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9662,plain,
% 6.76/4.95 (v100(constB72)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9661, 9660, 9594])).
% 6.76/4.95 tff(9663,plain,
% 6.76/4.95 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(9664,plain,
% 6.76/4.95 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB72)) | (~(((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0)))))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(9665,plain,
% 6.76/4.95 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB72)) | (~(((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[9664, 9663])).
% 6.76/4.95 tff(9666,plain,
% 6.76/4.95 ((~v100(constB72)) | (~(((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9665, 4151])).
% 6.76/4.95 tff(9667,plain,
% 6.76/4.95 (~(((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0)))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9666, 9662])).
% 6.76/4.95 tff(9668,plain,
% 6.76/4.95 ((((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))) | (~((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9669,plain,
% 6.76/4.95 (~((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9668, 9667])).
% 6.76/4.95 tff(9670,plain,
% 6.76/4.95 (((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9671,plain,
% 6.76/4.95 (v90(constB72, bitIndex2)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9670, 9669, 9590])).
% 6.76/4.95 tff(9672,plain,
% 6.76/4.95 (((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | v90(constB73, bitIndex2) | (~v90(constB72, bitIndex2))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9673,plain,
% 6.76/4.95 (v90(constB73, bitIndex2)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9672, 9671, 1576])).
% 6.76/4.95 tff(9674,plain,
% 6.76/4.95 ((v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex2))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9675,plain,
% 6.76/4.95 (v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9674, 9673])).
% 6.76/4.95 tff(9676,plain,
% 6.76/4.95 ((~(v119(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2))))) | (~v119(constB73)) | (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | v90(constB73, bitIndex2)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9677,plain,
% 6.76/4.95 (~v119(constB73)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9676, 9675, 1540])).
% 6.76/4.95 tff(9678,plain,
% 6.76/4.95 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex0))))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(9679,plain,
% 6.76/4.95 ((v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2))))) <=> (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex0)))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(9680,plain,
% 6.76/4.95 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex0))))))),
% 6.76/4.95 inference(monotonicity,[status(thm)],[9679])).
% 6.76/4.95 tff(9681,plain,
% 6.76/4.95 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex0))))))),
% 6.76/4.95 inference(transitivity,[status(thm)],[9680, 9678])).
% 6.76/4.95 tff(9682,plain,
% 6.76/4.95 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex2)))))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(9683,plain,
% 6.76/4.95 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex0)))))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[9682, 9681])).
% 6.76/4.95 tff(9684,plain,
% 6.76/4.95 (v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex0))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9683, 801])).
% 6.76/4.95 tff(9685,plain,
% 6.76/4.95 ((((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))) | (~((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9686,plain,
% 6.76/4.95 (~((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9685, 1574])).
% 6.76/4.95 tff(9687,plain,
% 6.76/4.95 ((((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0))) | (~((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9688,plain,
% 6.76/4.95 (~((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9687, 1583])).
% 6.76/4.95 tff(9689,plain,
% 6.76/4.95 ((((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1))) | (~((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9690,plain,
% 6.76/4.95 (~((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9689, 1597])).
% 6.76/4.95 tff(9691,plain,
% 6.76/4.95 ((v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)) | (~v130(constB71, bitIndex1))) | v130(constB71, bitIndex1)),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9692,plain,
% 6.76/4.95 (v130(constB71, bitIndex1)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9691, 9584])).
% 6.76/4.95 tff(9693,plain,
% 6.76/4.95 (((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1)) | v127(constB71, bitIndex1) | (~v130(constB71, bitIndex1))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9694,plain,
% 6.76/4.95 (v127(constB71, bitIndex1)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9693, 9692, 9690])).
% 6.76/4.95 tff(9695,plain,
% 6.76/4.95 (((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | v129(constB72, bitIndex1) | (~v127(constB71, bitIndex1))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9696,plain,
% 6.76/4.95 (v129(constB72, bitIndex1)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9695, 9694, 9688])).
% 6.76/4.95 tff(9697,plain,
% 6.76/4.95 ((((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))) | (~((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9698,plain,
% 6.76/4.95 (~((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9697, 9667])).
% 6.76/4.95 tff(9699,plain,
% 6.76/4.95 (((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | v90(constB72, bitIndex1) | (~v129(constB72, bitIndex1))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9700,plain,
% 6.76/4.95 (v90(constB72, bitIndex1)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9699, 9698, 9696])).
% 6.76/4.95 tff(9701,plain,
% 6.76/4.95 (((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | v90(constB73, bitIndex1) | (~v90(constB72, bitIndex1))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9702,plain,
% 6.76/4.95 (v90(constB73, bitIndex1)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9701, 9700, 9686])).
% 6.76/4.95 tff(9703,plain,
% 6.76/4.95 ((v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex1))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9704,plain,
% 6.76/4.95 (v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex0))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9703, 9702])).
% 6.76/4.95 tff(9705,plain,
% 6.76/4.95 ((~(v124(constB73) <=> (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex0)))))) | (~v124(constB73)) | (~(v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | (~v90(constB73, bitIndex0))))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9706,plain,
% 6.76/4.95 (~v124(constB73)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9705, 9704, 9684])).
% 6.76/4.95 tff(9707,plain,
% 6.76/4.95 (((~![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))))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(9708,plain,
% 6.76/4.95 ((v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2))))) <=> (v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2)))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(9709,plain,
% 6.76/4.95 (((~![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))))))),
% 6.76/4.95 inference(monotonicity,[status(thm)],[9708])).
% 6.76/4.95 tff(9710,plain,
% 6.76/4.95 (((~![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))))))),
% 6.76/4.95 inference(transitivity,[status(thm)],[9709, 9707])).
% 6.76/4.95 tff(9711,plain,
% 6.76/4.95 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)))))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(9712,plain,
% 6.76/4.95 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2)))))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[9711, 9710])).
% 6.76/4.95 tff(9713,plain,
% 6.76/4.95 (v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9712, 880])).
% 6.76/4.95 tff(9714,plain,
% 6.76/4.95 ((v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2))) | (~v90(constB73, bitIndex1))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9715,plain,
% 6.76/4.95 (v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9714, 9702])).
% 6.76/4.95 tff(9716,plain,
% 6.76/4.95 ((~(v123(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2)))))) | (~v123(constB73)) | (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex2))))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9717,plain,
% 6.76/4.95 (~v123(constB73)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9716, 9715, 9713])).
% 6.76/4.95 tff(9718,plain,
% 6.76/4.95 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(9719,plain,
% 6.76/4.95 ((v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1))))) <=> (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0)))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(9720,plain,
% 6.76/4.95 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))))),
% 6.76/4.95 inference(monotonicity,[status(thm)],[9719])).
% 6.76/4.95 tff(9721,plain,
% 6.76/4.95 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))))),
% 6.76/4.95 inference(transitivity,[status(thm)],[9720, 9718])).
% 6.76/4.95 tff(9722,plain,
% 6.76/4.95 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)) | (~v90(constB73, bitIndex1)))))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(9723,plain,
% 6.76/4.95 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0)))))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[9722, 9721])).
% 6.76/4.95 tff(9724,plain,
% 6.76/4.95 (v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9723, 959])).
% 6.76/4.95 tff(9725,plain,
% 6.76/4.95 ((v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex2))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9726,plain,
% 6.76/4.95 (v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9725, 9673])).
% 6.76/4.95 tff(9727,plain,
% 6.76/4.95 ((~(v122(constB73) <=> (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0)))))) | (~v122(constB73)) | (~(v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex0))))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9728,plain,
% 6.76/4.95 (~v122(constB73)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9727, 9726, 9724])).
% 6.76/4.95 tff(9729,plain,
% 6.76/4.95 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1))))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(9730,plain,
% 6.76/4.95 ((v121(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1))))) <=> (v121(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(9731,plain,
% 6.76/4.95 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1))))))),
% 6.76/4.95 inference(monotonicity,[status(thm)],[9730])).
% 6.76/4.95 tff(9732,plain,
% 6.76/4.95 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1))))))),
% 6.76/4.95 inference(transitivity,[status(thm)],[9731, 9729])).
% 6.76/4.95 tff(9733,plain,
% 6.76/4.95 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex0) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex1)))))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(9734,plain,
% 6.76/4.95 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)))))),
% 6.76/4.95 inference(modus_ponens,[status(thm)],[9733, 9732])).
% 6.76/4.95 tff(9735,plain,
% 6.76/4.95 (v121(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9734, 574])).
% 6.76/4.95 tff(9736,plain,
% 6.76/4.95 ((v90(constB73, bitIndex2) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1))) | (~v90(constB73, bitIndex2))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9737,plain,
% 6.76/4.95 (v90(constB73, bitIndex2) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9736, 9673])).
% 6.76/4.95 tff(9738,plain,
% 6.76/4.95 ((~(v121(constB73) <=> (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)))))) | (~v121(constB73)) | (~(v90(constB73, bitIndex2) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1))))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9739,plain,
% 6.76/4.95 (~v121(constB73)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9738, 9737, 9735])).
% 6.76/4.95 tff(9740,plain,
% 6.76/4.95 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)))))),
% 6.76/4.95 inference(quant_inst,[status(thm)],[])).
% 6.76/4.95 tff(9741,plain,
% 6.76/4.95 (v120(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0))))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9740, 653])).
% 6.76/4.95 tff(9742,plain,
% 6.76/4.95 ((v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0))) | (~v90(constB73, bitIndex2))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9743,plain,
% 6.76/4.95 (v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0))),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9742, 9673])).
% 6.76/4.95 tff(9744,plain,
% 6.76/4.95 ((~(v120(constB73) <=> (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0)))))) | (~v120(constB73)) | (~(v90(constB73, bitIndex1) | v90(constB73, bitIndex2) | (~v90(constB73, bitIndex0))))),
% 6.76/4.95 inference(tautology,[status(thm)],[])).
% 6.76/4.95 tff(9745,plain,
% 6.76/4.95 (~v120(constB73)),
% 6.76/4.95 inference(unit_resolution,[status(thm)],[9744, 9743, 9741])).
% 6.76/4.95 tff(9746,plain,
% 6.76/4.95 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, 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(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0)))))),
% 6.76/4.95 inference(rewrite,[status(thm)],[])).
% 6.76/4.95 tff(9747,plain,
% 6.76/4.95 ((v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0))))) <=> (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0)))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(9748,plain,
% 6.76/4.96 ((~(v130(constB73, bitIndex1) | v130(constB73, bitIndex2) | (~v130(constB73, bitIndex0)))) <=> (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(9749,plain,
% 6.76/4.96 ((v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | (~(v130(constB73, bitIndex1) | v130(constB73, bitIndex2) | (~v130(constB73, bitIndex0))))) <=> (v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0)))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[9748])).
% 6.76/4.96 tff(9750,plain,
% 6.76/4.96 ((v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | (~(v130(constB73, bitIndex1) | v130(constB73, bitIndex2) | (~v130(constB73, bitIndex0))))) <=> (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0)))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[9749, 9747])).
% 6.76/4.96 tff(9751,plain,
% 6.76/4.96 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | (~(v130(constB73, bitIndex1) | v130(constB73, bitIndex2) | (~v130(constB73, 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(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[9750])).
% 6.76/4.96 tff(9752,plain,
% 6.76/4.96 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | (~(v130(constB73, bitIndex1) | v130(constB73, bitIndex2) | (~v130(constB73, 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(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0)))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[9751, 9746])).
% 6.76/4.96 tff(9753,plain,
% 6.76/4.96 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB73) | v123(constB73) | v122(constB73) | v121(constB73) | v120(constB73) | v119(constB73) | (~(v130(constB73, bitIndex1) | v130(constB73, bitIndex2) | (~v130(constB73, bitIndex0)))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(9754,plain,
% 6.76/4.96 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[9753, 9752])).
% 6.76/4.96 tff(9755,plain,
% 6.76/4.96 (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9754, 5057])).
% 6.76/4.96 tff(9756,plain,
% 6.76/4.96 (~(v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0)))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9755, 9745, 9739, 9728, 9717, 9706, 9677])).
% 6.76/4.96 tff(9757,plain,
% 6.76/4.96 ((v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0))) | (~v130(constB73, bitIndex2))),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(9758,plain,
% 6.76/4.96 (~v130(constB73, bitIndex2)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9757, 9756])).
% 6.76/4.96 tff(9759,plain,
% 6.76/4.96 (((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | (~v127(constB73, bitIndex2)) | v130(constB73, bitIndex2)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(9760,plain,
% 6.76/4.96 (~v127(constB73, bitIndex2)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9759, 9758, 1538])).
% 6.76/4.96 tff(9761,plain,
% 6.76/4.96 (((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | (~v129(constB74, bitIndex2)) | v127(constB73, bitIndex2)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(9762,plain,
% 6.76/4.96 (~v129(constB74, bitIndex2)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9761, 9760, 1524])).
% 6.76/4.96 tff(9763,plain,
% 6.76/4.96 (((~![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))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(9764,plain,
% 6.76/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(9765,plain,
% 6.76/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB73, constB74)) | (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[9764, 9763])).
% 6.76/4.96 tff(9766,plain,
% 6.76/4.96 (v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9765, 1518, 433])).
% 6.76/4.96 tff(9767,plain,
% 6.76/4.96 (((~![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))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(9768,plain,
% 6.76/4.96 (((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74)))))) <=> ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(9769,plain,
% 6.76/4.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))))),
% 6.76/4.96 inference(monotonicity,[status(thm)],[9768])).
% 6.76/4.96 tff(9770,plain,
% 6.76/4.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))))),
% 6.76/4.96 inference(transitivity,[status(thm)],[9769, 9767])).
% 6.76/4.96 tff(9771,plain,
% 6.76/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v102(constB74)) | (~v1(constB74))))))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(9772,plain,
% 6.76/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[9771, 9770])).
% 6.76/4.96 tff(9773,plain,
% 6.76/4.96 (v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74))))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9772, 1518, 453])).
% 6.76/4.96 tff(9774,plain,
% 6.76/4.96 (((~![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)))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(9775,plain,
% 6.76/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74)))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(9776,plain,
% 6.76/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB73, constB74)) | ((~v102(constB74)) <=> v104(constB74))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[9775, 9774])).
% 6.76/4.96 tff(9777,plain,
% 6.76/4.96 ((~v102(constB74)) <=> v104(constB74)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9776, 1518, 3966])).
% 6.76/4.96 tff(9778,plain,
% 6.76/4.96 (((~![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)))),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(9779,plain,
% 6.76/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73)))),
% 6.76/4.96 inference(quant_inst,[status(thm)],[])).
% 6.76/4.96 tff(9780,plain,
% 6.76/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v1(constB73))),
% 6.76/4.96 inference(modus_ponens,[status(thm)],[9779, 9778])).
% 6.76/4.96 tff(9781,plain,
% 6.76/4.96 (v104(constB74) <=> v1(constB73)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9780, 1518, 3980])).
% 6.76/4.96 tff(9782,plain,
% 6.76/4.96 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74)) | v1(constB73)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(9783,plain,
% 6.76/4.96 ((~(v104(constB74) <=> v1(constB73))) | (~v104(constB74))),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9782, 1557])).
% 6.76/4.96 tff(9784,plain,
% 6.76/4.96 (~v104(constB74)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9783, 9781])).
% 6.76/4.96 tff(9785,plain,
% 6.76/4.96 ((~((~v102(constB74)) <=> v104(constB74))) | v102(constB74) | v104(constB74)),
% 6.76/4.96 inference(tautology,[status(thm)],[])).
% 6.76/4.96 tff(9786,plain,
% 6.76/4.96 (v102(constB74)),
% 6.76/4.96 inference(unit_resolution,[status(thm)],[9785, 9784, 9777])).
% 6.76/4.96 tff(9787,plain,
% 6.76/4.96 (v1(constB74) <=> v1(constB74)),
% 6.76/4.96 inference(rewrite,[status(thm)],[])).
% 6.76/4.96 tff(9788,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74')).
% 6.85/4.96 tff(9789,plain,
% 6.85/4.96 (v1(constB74)),
% 6.85/4.96 inference(modus_ponens,[status(thm)],[9788, 9787])).
% 6.85/4.96 tff(9790,plain,
% 6.85/4.96 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v1(constB74)) | (~v102(constB74))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9791,plain,
% 6.85/4.96 ((~((~v1(constB74)) | (~v102(constB74)))) | (~v102(constB74))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9790, 9789])).
% 6.85/4.96 tff(9792,plain,
% 6.85/4.96 (~((~v1(constB74)) | (~v102(constB74)))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9791, 9786])).
% 6.85/4.96 tff(9793,plain,
% 6.85/4.96 ((~(v101(constB74) <=> (~((~v1(constB74)) | (~v102(constB74)))))) | v101(constB74) | ((~v1(constB74)) | (~v102(constB74)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9794,plain,
% 6.85/4.96 (v101(constB74)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9793, 9792, 9773])).
% 6.85/4.96 tff(9795,plain,
% 6.85/4.96 (((~![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)))),
% 6.85/4.96 inference(rewrite,[status(thm)],[])).
% 6.85/4.96 tff(9796,plain,
% 6.85/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73)))),
% 6.85/4.96 inference(quant_inst,[status(thm)],[])).
% 6.85/4.96 tff(9797,plain,
% 6.85/4.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB73, constB74)) | (v110(constB74) <=> v108(constB73))),
% 6.85/4.96 inference(modus_ponens,[status(thm)],[9796, 9795])).
% 6.85/4.96 tff(9798,plain,
% 6.85/4.96 (v110(constB74) <=> v108(constB73)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9797, 1518, 4007])).
% 6.85/4.96 tff(9799,plain,
% 6.85/4.96 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB73) <=> (v111(constB73) | v112(constB73)))),
% 6.85/4.96 inference(quant_inst,[status(thm)],[])).
% 6.85/4.96 tff(9800,plain,
% 6.85/4.96 (v108(constB73) <=> (v111(constB73) | v112(constB73))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9799, 4018])).
% 6.85/4.96 tff(9801,plain,
% 6.85/4.96 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))),
% 6.85/4.96 inference(quant_inst,[status(thm)],[])).
% 6.85/4.96 tff(9802,plain,
% 6.85/4.96 (v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73))))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9801, 4030])).
% 6.85/4.96 tff(9803,plain,
% 6.85/4.96 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB73) <=> (v114(constB73) | v125(constB73)))),
% 6.85/4.96 inference(quant_inst,[status(thm)],[])).
% 6.85/4.96 tff(9804,plain,
% 6.85/4.96 (v113(constB73) <=> (v114(constB73) | v125(constB73))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9803, 4039])).
% 6.85/4.96 tff(9805,plain,
% 6.85/4.96 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB73) <=> (~(v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)))))),
% 6.85/4.96 inference(quant_inst,[status(thm)],[])).
% 6.85/4.96 tff(9806,plain,
% 6.85/4.96 (v125(constB73) <=> (~(v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2))))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9805, 5129])).
% 6.85/4.96 tff(9807,plain,
% 6.85/4.96 ((((~v90(constB73, bitIndex1)) <=> v90(constB72, bitIndex1)) | ((~v90(constB73, bitIndex2)) <=> v90(constB72, bitIndex2)) | ((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))) | (~((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9808,plain,
% 6.85/4.96 (~((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9807, 1574])).
% 6.85/4.96 tff(9809,plain,
% 6.85/4.96 ((((~v129(constB72, bitIndex2)) <=> v127(constB71, bitIndex2)) | ((~v129(constB72, bitIndex1)) <=> v127(constB71, bitIndex1)) | ((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0))) | (~((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9810,plain,
% 6.85/4.96 (~((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9809, 1583])).
% 6.85/4.96 tff(9811,plain,
% 6.85/4.96 ((((~v127(constB71, bitIndex2)) <=> v130(constB71, bitIndex2)) | ((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)) | ((~v127(constB71, bitIndex1)) <=> v130(constB71, bitIndex1))) | (~((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9812,plain,
% 6.85/4.96 (~((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9811, 1597])).
% 6.85/4.96 tff(9813,plain,
% 6.85/4.96 ((v130(constB71, bitIndex0) | (~v130(constB71, bitIndex2)) | (~v130(constB71, bitIndex1))) | (~v130(constB71, bitIndex0))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9814,plain,
% 6.85/4.96 (~v130(constB71, bitIndex0)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9813, 9584])).
% 6.85/4.96 tff(9815,plain,
% 6.85/4.96 (((~v127(constB71, bitIndex0)) <=> v130(constB71, bitIndex0)) | (~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9816,plain,
% 6.85/4.96 (~v127(constB71, bitIndex0)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9815, 9814, 9812])).
% 6.85/4.96 tff(9817,plain,
% 6.85/4.96 (((~v129(constB72, bitIndex0)) <=> v127(constB71, bitIndex0)) | (~v129(constB72, bitIndex0)) | v127(constB71, bitIndex0)),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9818,plain,
% 6.85/4.96 (~v129(constB72, bitIndex0)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9817, 9816, 9810])).
% 6.85/4.96 tff(9819,plain,
% 6.85/4.96 ((((~v90(constB72, bitIndex2)) <=> v129(constB72, bitIndex2)) | ((~v90(constB72, bitIndex1)) <=> v129(constB72, bitIndex1)) | ((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))) | (~((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9820,plain,
% 6.85/4.96 (~((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9819, 9667])).
% 6.85/4.96 tff(9821,plain,
% 6.85/4.96 (((~v90(constB72, bitIndex0)) <=> v129(constB72, bitIndex0)) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0)),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9822,plain,
% 6.85/4.96 (~v90(constB72, bitIndex0)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9821, 9820, 9818])).
% 6.85/4.96 tff(9823,plain,
% 6.85/4.96 (((~v90(constB73, bitIndex0)) <=> v90(constB72, bitIndex0)) | (~v90(constB73, bitIndex0)) | v90(constB72, bitIndex0)),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9824,plain,
% 6.85/4.96 (~v90(constB73, bitIndex0)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9823, 9822, 9808])).
% 6.85/4.96 tff(9825,plain,
% 6.85/4.96 ((~(v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)))) | v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9826,plain,
% 6.85/4.96 (~(v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9825, 9702, 9824, 9673])).
% 6.85/4.96 tff(9827,plain,
% 6.85/4.96 ((~(v125(constB73) <=> (~(v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)))))) | v125(constB73) | (v90(constB73, bitIndex0) | (~v90(constB73, bitIndex1)) | (~v90(constB73, bitIndex2)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9828,plain,
% 6.85/4.96 (v125(constB73)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9827, 9826, 9806])).
% 6.85/4.96 tff(9829,plain,
% 6.85/4.96 ((v114(constB73) | v125(constB73)) | (~v125(constB73))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9830,plain,
% 6.85/4.96 (v114(constB73) | v125(constB73)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9829, 9828])).
% 6.85/4.96 tff(9831,plain,
% 6.85/4.96 ((~(v113(constB73) <=> (v114(constB73) | v125(constB73)))) | v113(constB73) | (~(v114(constB73) | v125(constB73)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9832,plain,
% 6.85/4.96 (v113(constB73)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9831, 9830, 9804])).
% 6.85/4.96 tff(9833,plain,
% 6.85/4.96 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB73)) <=> v111(constB73))),
% 6.85/4.96 inference(quant_inst,[status(thm)],[])).
% 6.85/4.96 tff(9834,plain,
% 6.85/4.96 ((~v126(constB73)) <=> v111(constB73)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9833, 4118])).
% 6.85/4.96 tff(9835,plain,
% 6.85/4.96 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73) | v111(constB73)),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9836,plain,
% 6.85/4.96 ((~((~v126(constB73)) <=> v111(constB73))) | v126(constB73)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9835, 1531])).
% 6.85/4.96 tff(9837,plain,
% 6.85/4.96 (v126(constB73)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9836, 9834])).
% 6.85/4.96 tff(9838,plain,
% 6.85/4.96 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73)) | (~v126(constB73))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9839,plain,
% 6.85/4.96 ((~((~v113(constB73)) | (~v126(constB73)))) | (~v113(constB73))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9838, 9837])).
% 6.85/4.96 tff(9840,plain,
% 6.85/4.96 (~((~v113(constB73)) | (~v126(constB73)))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9839, 9832])).
% 6.85/4.96 tff(9841,plain,
% 6.85/4.96 ((~(v112(constB73) <=> (~((~v113(constB73)) | (~v126(constB73)))))) | v112(constB73) | ((~v113(constB73)) | (~v126(constB73)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9842,plain,
% 6.85/4.96 (v112(constB73)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9841, 9840, 9802])).
% 6.85/4.96 tff(9843,plain,
% 6.85/4.96 ((v111(constB73) | v112(constB73)) | (~v112(constB73))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9844,plain,
% 6.85/4.96 (v111(constB73) | v112(constB73)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9843, 9842])).
% 6.85/4.96 tff(9845,plain,
% 6.85/4.96 ((~(v108(constB73) <=> (v111(constB73) | v112(constB73)))) | v108(constB73) | (~(v111(constB73) | v112(constB73)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9846,plain,
% 6.85/4.96 (v108(constB73)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9845, 9844, 9800])).
% 6.85/4.96 tff(9847,plain,
% 6.85/4.96 ((~(v110(constB74) <=> v108(constB73))) | v110(constB74) | (~v108(constB73))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9848,plain,
% 6.85/4.96 (v110(constB74)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9847, 9846, 9798])).
% 6.85/4.96 tff(9849,plain,
% 6.85/4.96 ((~((~v101(constB74)) | (~v110(constB74)))) | (~v101(constB74)) | (~v110(constB74))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9850,plain,
% 6.85/4.96 (~((~v101(constB74)) | (~v110(constB74)))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9849, 9848, 9794])).
% 6.85/4.96 tff(9851,plain,
% 6.85/4.96 ((~(v100(constB74) <=> (~((~v101(constB74)) | (~v110(constB74)))))) | v100(constB74) | ((~v101(constB74)) | (~v110(constB74)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9852,plain,
% 6.85/4.96 (v100(constB74)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9851, 9850, 9766])).
% 6.85/4.96 tff(9853,plain,
% 6.85/4.96 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.85/4.96 inference(rewrite,[status(thm)],[])).
% 6.85/4.96 tff(9854,plain,
% 6.85/4.96 (((~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)))))),
% 6.85/4.96 inference(rewrite,[status(thm)],[])).
% 6.85/4.96 tff(9855,plain,
% 6.85/4.96 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 6.85/4.96 inference(monotonicity,[status(thm)],[9854])).
% 6.85/4.96 tff(9856,plain,
% 6.85/4.96 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.85/4.96 inference(transitivity,[status(thm)],[9855, 9853])).
% 6.85/4.96 tff(9857,plain,
% 6.85/4.96 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB74)) | (~(((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)) | ((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)))))),
% 6.85/4.96 inference(quant_inst,[status(thm)],[])).
% 6.85/4.96 tff(9858,plain,
% 6.85/4.96 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB74)) | (~(((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))))),
% 6.85/4.96 inference(modus_ponens,[status(thm)],[9857, 9856])).
% 6.85/4.96 tff(9859,plain,
% 6.85/4.96 ((~v100(constB74)) | (~(((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9858, 4151])).
% 6.85/4.96 tff(9860,plain,
% 6.85/4.96 (~(((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9859, 9852])).
% 6.85/4.96 tff(9861,plain,
% 6.85/4.96 ((((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))) | (~((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9862,plain,
% 6.85/4.96 (~((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9861, 9860])).
% 6.85/4.96 tff(9863,plain,
% 6.85/4.96 (((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | (~v90(constB74, bitIndex2)) | v129(constB74, bitIndex2)),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9864,plain,
% 6.85/4.96 (~v90(constB74, bitIndex2)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9863, 9862, 9762])).
% 6.85/4.96 tff(9865,plain,
% 6.85/4.96 (((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | (~v90(constB75, bitIndex2)) | v90(constB74, bitIndex2)),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9866,plain,
% 6.85/4.96 (~v90(constB75, bitIndex2)),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9865, 9864, 1515])).
% 6.85/4.96 tff(9867,plain,
% 6.85/4.96 ((((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))) | (~((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)))),
% 6.85/4.96 inference(tautology,[status(thm)],[])).
% 6.85/4.96 tff(9868,plain,
% 6.85/4.96 (~((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))),
% 6.85/4.96 inference(unit_resolution,[status(thm)],[9867, 1513])).
% 6.85/4.96 tff(9869,plain,
% 6.85/4.96 ((((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0))) | (~((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9870,plain,
% 6.85/4.97 (~((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9869, 1522])).
% 6.85/4.97 tff(9871,plain,
% 6.85/4.97 ((((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1))) | (~((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9872,plain,
% 6.85/4.97 (~((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9871, 1536])).
% 6.85/4.97 tff(9873,plain,
% 6.85/4.97 ((v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0))) | v130(constB73, bitIndex0)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9874,plain,
% 6.85/4.97 (v130(constB73, bitIndex0)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9873, 9756])).
% 6.85/4.97 tff(9875,plain,
% 6.85/4.97 (((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)) | v127(constB73, bitIndex0) | (~v130(constB73, bitIndex0))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9876,plain,
% 6.85/4.97 (v127(constB73, bitIndex0)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9875, 9874, 9872])).
% 6.85/4.97 tff(9877,plain,
% 6.85/4.97 (((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0)) | v129(constB74, bitIndex0) | (~v127(constB73, bitIndex0))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9878,plain,
% 6.85/4.97 (v129(constB74, bitIndex0)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9877, 9876, 9870])).
% 6.85/4.97 tff(9879,plain,
% 6.85/4.97 ((((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))) | (~((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9880,plain,
% 6.85/4.97 (~((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9879, 9860])).
% 6.85/4.97 tff(9881,plain,
% 6.85/4.97 (((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | v90(constB74, bitIndex0) | (~v129(constB74, bitIndex0))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9882,plain,
% 6.85/4.97 (v90(constB74, bitIndex0)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9881, 9880, 9878])).
% 6.85/4.97 tff(9883,plain,
% 6.85/4.97 (((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0)) | v90(constB75, bitIndex0) | (~v90(constB74, bitIndex0))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9884,plain,
% 6.85/4.97 (v90(constB75, bitIndex0)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9883, 9882, 9868])).
% 6.85/4.97 tff(9885,plain,
% 6.85/4.97 ((((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | ((~v90(constB75, bitIndex2)) <=> v90(constB74, bitIndex2)) | ((~v90(constB75, bitIndex0)) <=> v90(constB74, bitIndex0))) | (~((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9886,plain,
% 6.85/4.97 (~((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9885, 1513])).
% 6.85/4.97 tff(9887,plain,
% 6.85/4.97 ((((~v129(constB74, bitIndex2)) <=> v127(constB73, bitIndex2)) | ((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | ((~v129(constB74, bitIndex0)) <=> v127(constB73, bitIndex0))) | (~((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9888,plain,
% 6.85/4.97 (~((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9887, 1522])).
% 6.85/4.97 tff(9889,plain,
% 6.85/4.97 ((((~v127(constB73, bitIndex2)) <=> v130(constB73, bitIndex2)) | ((~v127(constB73, bitIndex0)) <=> v130(constB73, bitIndex0)) | ((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1))) | (~((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9890,plain,
% 6.85/4.97 (~((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9889, 1536])).
% 6.85/4.97 tff(9891,plain,
% 6.85/4.97 ((v130(constB73, bitIndex2) | v130(constB73, bitIndex1) | (~v130(constB73, bitIndex0))) | (~v130(constB73, bitIndex1))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9892,plain,
% 6.85/4.97 (~v130(constB73, bitIndex1)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9891, 9756])).
% 6.85/4.97 tff(9893,plain,
% 6.85/4.97 (((~v127(constB73, bitIndex1)) <=> v130(constB73, bitIndex1)) | (~v127(constB73, bitIndex1)) | v130(constB73, bitIndex1)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9894,plain,
% 6.85/4.97 (~v127(constB73, bitIndex1)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9893, 9892, 9890])).
% 6.85/4.97 tff(9895,plain,
% 6.85/4.97 (((~v129(constB74, bitIndex1)) <=> v127(constB73, bitIndex1)) | (~v129(constB74, bitIndex1)) | v127(constB73, bitIndex1)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9896,plain,
% 6.85/4.97 (~v129(constB74, bitIndex1)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9895, 9894, 9888])).
% 6.85/4.97 tff(9897,plain,
% 6.85/4.97 ((((~v90(constB74, bitIndex0)) <=> v129(constB74, bitIndex0)) | ((~v90(constB74, bitIndex2)) <=> v129(constB74, bitIndex2)) | ((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))) | (~((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9898,plain,
% 6.85/4.97 (~((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9897, 9860])).
% 6.85/4.97 tff(9899,plain,
% 6.85/4.97 (((~v90(constB74, bitIndex1)) <=> v129(constB74, bitIndex1)) | (~v90(constB74, bitIndex1)) | v129(constB74, bitIndex1)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9900,plain,
% 6.85/4.97 (~v90(constB74, bitIndex1)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9899, 9898, 9896])).
% 6.85/4.97 tff(9901,plain,
% 6.85/4.97 (((~v90(constB75, bitIndex1)) <=> v90(constB74, bitIndex1)) | (~v90(constB75, bitIndex1)) | v90(constB74, bitIndex1)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9902,plain,
% 6.85/4.97 (~v90(constB75, bitIndex1)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9901, 9900, 9886])).
% 6.85/4.97 tff(9903,plain,
% 6.85/4.97 ((~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))) | v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9904,plain,
% 6.85/4.97 (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9903, 9902, 9884, 9866])).
% 6.85/4.97 tff(9905,plain,
% 6.85/4.97 ((~(v120(constB75) <=> (~(v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))))) | v120(constB75) | (v90(constB75, bitIndex1) | v90(constB75, bitIndex2) | (~v90(constB75, bitIndex0)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9906,plain,
% 6.85/4.97 (v120(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9905, 9904, 1479])).
% 6.85/4.97 tff(9907,plain,
% 6.85/4.97 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB75)) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex0) | (~v130(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB75)) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex0) | (~v130(constB75, bitIndex1)))))),
% 6.85/4.97 inference(rewrite,[status(thm)],[])).
% 6.85/4.97 tff(9908,plain,
% 6.85/4.97 (((~v120(constB75)) | (~(v130(constB75, bitIndex0) | v130(constB75, bitIndex2) | (~v130(constB75, bitIndex1))))) <=> ((~v120(constB75)) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex0) | (~v130(constB75, bitIndex1)))))),
% 6.85/4.97 inference(rewrite,[status(thm)],[])).
% 6.85/4.97 tff(9909,plain,
% 6.85/4.97 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB75)) | (~(v130(constB75, bitIndex0) | v130(constB75, bitIndex2) | (~v130(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB75)) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex0) | (~v130(constB75, bitIndex1))))))),
% 6.85/4.97 inference(monotonicity,[status(thm)],[9908])).
% 6.85/4.97 tff(9910,plain,
% 6.85/4.97 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB75)) | (~(v130(constB75, bitIndex0) | v130(constB75, bitIndex2) | (~v130(constB75, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB75)) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex0) | (~v130(constB75, bitIndex1)))))),
% 6.85/4.97 inference(transitivity,[status(thm)],[9909, 9907])).
% 6.85/4.97 tff(9911,plain,
% 6.85/4.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB75)) | (~(v130(constB75, bitIndex0) | v130(constB75, bitIndex2) | (~v130(constB75, bitIndex1)))))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9912,plain,
% 6.85/4.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB75)) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex0) | (~v130(constB75, bitIndex1))))),
% 6.85/4.97 inference(modus_ponens,[status(thm)],[9911, 9910])).
% 6.85/4.97 tff(9913,plain,
% 6.85/4.97 ((~v120(constB75)) | (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex0) | (~v130(constB75, bitIndex1))))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9912, 4218])).
% 6.85/4.97 tff(9914,plain,
% 6.85/4.97 (~(v130(constB75, bitIndex2) | v130(constB75, bitIndex0) | (~v130(constB75, bitIndex1)))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9913, 9906])).
% 6.85/4.97 tff(9915,plain,
% 6.85/4.97 ((v130(constB75, bitIndex2) | v130(constB75, bitIndex0) | (~v130(constB75, bitIndex1))) | (~v130(constB75, bitIndex2))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9916,plain,
% 6.85/4.97 (~v130(constB75, bitIndex2)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9915, 9914])).
% 6.85/4.97 tff(9917,plain,
% 6.85/4.97 (((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | (~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9918,plain,
% 6.85/4.97 (~v127(constB75, bitIndex2)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9917, 9916, 1477])).
% 6.85/4.97 tff(9919,plain,
% 6.85/4.97 (((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | (~v129(constB76, bitIndex2)) | v127(constB75, bitIndex2)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9920,plain,
% 6.85/4.97 (~v129(constB76, bitIndex2)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9919, 9918, 1463])).
% 6.85/4.97 tff(9921,plain,
% 6.85/4.97 (((~![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))))))),
% 6.85/4.97 inference(rewrite,[status(thm)],[])).
% 6.85/4.97 tff(9922,plain,
% 6.85/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9923,plain,
% 6.85/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB75, constB76)) | (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))),
% 6.85/4.97 inference(modus_ponens,[status(thm)],[9922, 9921])).
% 6.85/4.97 tff(9924,plain,
% 6.85/4.97 (v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76))))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9923, 1457, 433])).
% 6.85/4.97 tff(9925,plain,
% 6.85/4.97 (((~![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))))))),
% 6.85/4.97 inference(rewrite,[status(thm)],[])).
% 6.85/4.97 tff(9926,plain,
% 6.85/4.97 (((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76)))))) <=> ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 6.85/4.97 inference(rewrite,[status(thm)],[])).
% 6.85/4.97 tff(9927,plain,
% 6.85/4.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))))),
% 6.85/4.97 inference(monotonicity,[status(thm)],[9926])).
% 6.85/4.97 tff(9928,plain,
% 6.85/4.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))))),
% 6.85/4.97 inference(transitivity,[status(thm)],[9927, 9925])).
% 6.85/4.97 tff(9929,plain,
% 6.85/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v102(constB76)) | (~v1(constB76))))))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9930,plain,
% 6.85/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))),
% 6.85/4.97 inference(modus_ponens,[status(thm)],[9929, 9928])).
% 6.85/4.97 tff(9931,plain,
% 6.85/4.97 (v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76))))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9930, 1457, 453])).
% 6.85/4.97 tff(9932,plain,
% 6.85/4.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))),
% 6.85/4.97 inference(rewrite,[status(thm)],[])).
% 6.85/4.97 tff(9933,plain,
% 6.85/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76)))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9934,plain,
% 6.85/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB75, constB76)) | ((~v102(constB76)) <=> v104(constB76))),
% 6.85/4.97 inference(modus_ponens,[status(thm)],[9933, 9932])).
% 6.85/4.97 tff(9935,plain,
% 6.85/4.97 ((~v102(constB76)) <=> v104(constB76)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9934, 1457, 3966])).
% 6.85/4.97 tff(9936,plain,
% 6.85/4.97 (((~![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)))),
% 6.85/4.97 inference(rewrite,[status(thm)],[])).
% 6.85/4.97 tff(9937,plain,
% 6.85/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75)))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9938,plain,
% 6.85/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v1(constB75))),
% 6.85/4.97 inference(modus_ponens,[status(thm)],[9937, 9936])).
% 6.85/4.97 tff(9939,plain,
% 6.85/4.97 (v104(constB76) <=> v1(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9938, 1457, 3980])).
% 6.85/4.97 tff(9940,plain,
% 6.85/4.97 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76)) | v1(constB75)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9941,plain,
% 6.85/4.97 ((~(v104(constB76) <=> v1(constB75))) | (~v104(constB76))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9940, 1496])).
% 6.85/4.97 tff(9942,plain,
% 6.85/4.97 (~v104(constB76)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9941, 9939])).
% 6.85/4.97 tff(9943,plain,
% 6.85/4.97 ((~((~v102(constB76)) <=> v104(constB76))) | v102(constB76) | v104(constB76)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9944,plain,
% 6.85/4.97 (v102(constB76)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9943, 9942, 9935])).
% 6.85/4.97 tff(9945,plain,
% 6.85/4.97 (v1(constB76) <=> v1(constB76)),
% 6.85/4.97 inference(rewrite,[status(thm)],[])).
% 6.85/4.97 tff(9946,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76')).
% 6.85/4.97 tff(9947,plain,
% 6.85/4.97 (v1(constB76)),
% 6.85/4.97 inference(modus_ponens,[status(thm)],[9946, 9945])).
% 6.85/4.97 tff(9948,plain,
% 6.85/4.97 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v1(constB76)) | (~v102(constB76))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9949,plain,
% 6.85/4.97 ((~((~v1(constB76)) | (~v102(constB76)))) | (~v102(constB76))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9948, 9947])).
% 6.85/4.97 tff(9950,plain,
% 6.85/4.97 (~((~v1(constB76)) | (~v102(constB76)))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9949, 9944])).
% 6.85/4.97 tff(9951,plain,
% 6.85/4.97 ((~(v101(constB76) <=> (~((~v1(constB76)) | (~v102(constB76)))))) | v101(constB76) | ((~v1(constB76)) | (~v102(constB76)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9952,plain,
% 6.85/4.97 (v101(constB76)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9951, 9950, 9931])).
% 6.85/4.97 tff(9953,plain,
% 6.85/4.97 (((~![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)))),
% 6.85/4.97 inference(rewrite,[status(thm)],[])).
% 6.85/4.97 tff(9954,plain,
% 6.85/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75)))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9955,plain,
% 6.85/4.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB75, constB76)) | (v110(constB76) <=> v108(constB75))),
% 6.85/4.97 inference(modus_ponens,[status(thm)],[9954, 9953])).
% 6.85/4.97 tff(9956,plain,
% 6.85/4.97 (v110(constB76) <=> v108(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9955, 1457, 4007])).
% 6.85/4.97 tff(9957,plain,
% 6.85/4.97 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB75) <=> (v111(constB75) | v112(constB75)))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9958,plain,
% 6.85/4.97 (v108(constB75) <=> (v111(constB75) | v112(constB75))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9957, 4018])).
% 6.85/4.97 tff(9959,plain,
% 6.85/4.97 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9960,plain,
% 6.85/4.97 (v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75))))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9959, 4030])).
% 6.85/4.97 tff(9961,plain,
% 6.85/4.97 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB75) <=> (v114(constB75) | v125(constB75)))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9962,plain,
% 6.85/4.97 (v113(constB75) <=> (v114(constB75) | v125(constB75))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9961, 4039])).
% 6.85/4.97 tff(9963,plain,
% 6.85/4.97 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB75) <=> (v115(constB75) | v124(constB75)))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9964,plain,
% 6.85/4.97 (v114(constB75) <=> (v115(constB75) | v124(constB75))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9963, 4048])).
% 6.85/4.97 tff(9965,plain,
% 6.85/4.97 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB75) <=> (v116(constB75) | v123(constB75)))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9966,plain,
% 6.85/4.97 (v115(constB75) <=> (v116(constB75) | v123(constB75))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9965, 4057])).
% 6.85/4.97 tff(9967,plain,
% 6.85/4.97 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB75) <=> (v117(constB75) | v122(constB75)))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9968,plain,
% 6.85/4.97 (v116(constB75) <=> (v117(constB75) | v122(constB75))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9967, 4066])).
% 6.85/4.97 tff(9969,plain,
% 6.85/4.97 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB75) <=> (v118(constB75) | v121(constB75)))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9970,plain,
% 6.85/4.97 (v117(constB75) <=> (v118(constB75) | v121(constB75))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9969, 4075])).
% 6.85/4.97 tff(9971,plain,
% 6.85/4.97 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB75) <=> (v119(constB75) | v120(constB75)))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9972,plain,
% 6.85/4.97 (v118(constB75) <=> (v119(constB75) | v120(constB75))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9971, 4084])).
% 6.85/4.97 tff(9973,plain,
% 6.85/4.97 ((v119(constB75) | v120(constB75)) | (~v120(constB75))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9974,plain,
% 6.85/4.97 (v119(constB75) | v120(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9973, 9906])).
% 6.85/4.97 tff(9975,plain,
% 6.85/4.97 ((~(v118(constB75) <=> (v119(constB75) | v120(constB75)))) | v118(constB75) | (~(v119(constB75) | v120(constB75)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9976,plain,
% 6.85/4.97 (v118(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9975, 9974, 9972])).
% 6.85/4.97 tff(9977,plain,
% 6.85/4.97 ((v118(constB75) | v121(constB75)) | (~v118(constB75))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9978,plain,
% 6.85/4.97 (v118(constB75) | v121(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9977, 9976])).
% 6.85/4.97 tff(9979,plain,
% 6.85/4.97 ((~(v117(constB75) <=> (v118(constB75) | v121(constB75)))) | v117(constB75) | (~(v118(constB75) | v121(constB75)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9980,plain,
% 6.85/4.97 (v117(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9979, 9978, 9970])).
% 6.85/4.97 tff(9981,plain,
% 6.85/4.97 ((v117(constB75) | v122(constB75)) | (~v117(constB75))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9982,plain,
% 6.85/4.97 (v117(constB75) | v122(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9981, 9980])).
% 6.85/4.97 tff(9983,plain,
% 6.85/4.97 ((~(v116(constB75) <=> (v117(constB75) | v122(constB75)))) | v116(constB75) | (~(v117(constB75) | v122(constB75)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9984,plain,
% 6.85/4.97 (v116(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9983, 9982, 9968])).
% 6.85/4.97 tff(9985,plain,
% 6.85/4.97 ((v116(constB75) | v123(constB75)) | (~v116(constB75))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9986,plain,
% 6.85/4.97 (v116(constB75) | v123(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9985, 9984])).
% 6.85/4.97 tff(9987,plain,
% 6.85/4.97 ((~(v115(constB75) <=> (v116(constB75) | v123(constB75)))) | v115(constB75) | (~(v116(constB75) | v123(constB75)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9988,plain,
% 6.85/4.97 (v115(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9987, 9986, 9966])).
% 6.85/4.97 tff(9989,plain,
% 6.85/4.97 ((v115(constB75) | v124(constB75)) | (~v115(constB75))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9990,plain,
% 6.85/4.97 (v115(constB75) | v124(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9989, 9988])).
% 6.85/4.97 tff(9991,plain,
% 6.85/4.97 ((~(v114(constB75) <=> (v115(constB75) | v124(constB75)))) | v114(constB75) | (~(v115(constB75) | v124(constB75)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9992,plain,
% 6.85/4.97 (v114(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9991, 9990, 9964])).
% 6.85/4.97 tff(9993,plain,
% 6.85/4.97 ((v114(constB75) | v125(constB75)) | (~v114(constB75))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9994,plain,
% 6.85/4.97 (v114(constB75) | v125(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9993, 9992])).
% 6.85/4.97 tff(9995,plain,
% 6.85/4.97 ((~(v113(constB75) <=> (v114(constB75) | v125(constB75)))) | v113(constB75) | (~(v114(constB75) | v125(constB75)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(9996,plain,
% 6.85/4.97 (v113(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9995, 9994, 9962])).
% 6.85/4.97 tff(9997,plain,
% 6.85/4.97 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB75)) <=> v111(constB75))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(9998,plain,
% 6.85/4.97 ((~v126(constB75)) <=> v111(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9997, 4118])).
% 6.85/4.97 tff(9999,plain,
% 6.85/4.97 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75) | v111(constB75)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10000,plain,
% 6.85/4.97 ((~((~v126(constB75)) <=> v111(constB75))) | v126(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[9999, 1470])).
% 6.85/4.97 tff(10001,plain,
% 6.85/4.97 (v126(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10000, 9998])).
% 6.85/4.97 tff(10002,plain,
% 6.85/4.97 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75)) | (~v126(constB75))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10003,plain,
% 6.85/4.97 ((~((~v113(constB75)) | (~v126(constB75)))) | (~v113(constB75))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10002, 10001])).
% 6.85/4.97 tff(10004,plain,
% 6.85/4.97 (~((~v113(constB75)) | (~v126(constB75)))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10003, 9996])).
% 6.85/4.97 tff(10005,plain,
% 6.85/4.97 ((~(v112(constB75) <=> (~((~v113(constB75)) | (~v126(constB75)))))) | v112(constB75) | ((~v113(constB75)) | (~v126(constB75)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10006,plain,
% 6.85/4.97 (v112(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10005, 10004, 9960])).
% 6.85/4.97 tff(10007,plain,
% 6.85/4.97 ((v111(constB75) | v112(constB75)) | (~v112(constB75))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10008,plain,
% 6.85/4.97 (v111(constB75) | v112(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10007, 10006])).
% 6.85/4.97 tff(10009,plain,
% 6.85/4.97 ((~(v108(constB75) <=> (v111(constB75) | v112(constB75)))) | v108(constB75) | (~(v111(constB75) | v112(constB75)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10010,plain,
% 6.85/4.97 (v108(constB75)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10009, 10008, 9958])).
% 6.85/4.97 tff(10011,plain,
% 6.85/4.97 ((~(v110(constB76) <=> v108(constB75))) | v110(constB76) | (~v108(constB75))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10012,plain,
% 6.85/4.97 (v110(constB76)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10011, 10010, 9956])).
% 6.85/4.97 tff(10013,plain,
% 6.85/4.97 ((~((~v101(constB76)) | (~v110(constB76)))) | (~v101(constB76)) | (~v110(constB76))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10014,plain,
% 6.85/4.97 (~((~v101(constB76)) | (~v110(constB76)))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10013, 10012, 9952])).
% 6.85/4.97 tff(10015,plain,
% 6.85/4.97 ((~(v100(constB76) <=> (~((~v101(constB76)) | (~v110(constB76)))))) | v100(constB76) | ((~v101(constB76)) | (~v110(constB76)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10016,plain,
% 6.85/4.97 (v100(constB76)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10015, 10014, 9924])).
% 6.85/4.97 tff(10017,plain,
% 6.85/4.97 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.85/4.97 inference(rewrite,[status(thm)],[])).
% 6.85/4.97 tff(10018,plain,
% 6.85/4.97 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB76)) | (~(((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0)))))),
% 6.85/4.97 inference(quant_inst,[status(thm)],[])).
% 6.85/4.97 tff(10019,plain,
% 6.85/4.97 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB76)) | (~(((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))))),
% 6.85/4.97 inference(modus_ponens,[status(thm)],[10018, 10017])).
% 6.85/4.97 tff(10020,plain,
% 6.85/4.97 ((~v100(constB76)) | (~(((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10019, 4151])).
% 6.85/4.97 tff(10021,plain,
% 6.85/4.97 (~(((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0)))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10020, 10016])).
% 6.85/4.97 tff(10022,plain,
% 6.85/4.97 ((((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))) | (~((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10023,plain,
% 6.85/4.97 (~((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10022, 10021])).
% 6.85/4.97 tff(10024,plain,
% 6.85/4.97 (((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10025,plain,
% 6.85/4.97 (~v90(constB76, bitIndex2)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10024, 10023, 9920])).
% 6.85/4.97 tff(10026,plain,
% 6.85/4.97 (((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | (~v90(constB77, bitIndex2)) | v90(constB76, bitIndex2)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10027,plain,
% 6.85/4.97 (~v90(constB77, bitIndex2)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10026, 10025, 1454])).
% 6.85/4.97 tff(10028,plain,
% 6.85/4.97 ((((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))) | (~((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10029,plain,
% 6.85/4.97 (~((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10028, 1452])).
% 6.85/4.97 tff(10030,plain,
% 6.85/4.97 ((((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0))) | (~((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10031,plain,
% 6.85/4.97 (~((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10030, 1461])).
% 6.85/4.97 tff(10032,plain,
% 6.85/4.97 ((((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1))) | (~((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10033,plain,
% 6.85/4.97 (~((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10032, 1475])).
% 6.85/4.97 tff(10034,plain,
% 6.85/4.97 ((v130(constB75, bitIndex2) | v130(constB75, bitIndex0) | (~v130(constB75, bitIndex1))) | (~v130(constB75, bitIndex0))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10035,plain,
% 6.85/4.97 (~v130(constB75, bitIndex0)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10034, 9914])).
% 6.85/4.97 tff(10036,plain,
% 6.85/4.97 (((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)) | (~v127(constB75, bitIndex0)) | v130(constB75, bitIndex0)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10037,plain,
% 6.85/4.97 (~v127(constB75, bitIndex0)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10036, 10035, 10033])).
% 6.85/4.97 tff(10038,plain,
% 6.85/4.97 (((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0)) | (~v129(constB76, bitIndex0)) | v127(constB75, bitIndex0)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10039,plain,
% 6.85/4.97 (~v129(constB76, bitIndex0)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10038, 10037, 10031])).
% 6.85/4.97 tff(10040,plain,
% 6.85/4.97 ((((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))) | (~((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10041,plain,
% 6.85/4.97 (~((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10040, 10021])).
% 6.85/4.97 tff(10042,plain,
% 6.85/4.97 (((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0)) | (~v90(constB76, bitIndex0)) | v129(constB76, bitIndex0)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10043,plain,
% 6.85/4.97 (~v90(constB76, bitIndex0)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10042, 10041, 10039])).
% 6.85/4.97 tff(10044,plain,
% 6.85/4.97 (((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0)) | (~v90(constB77, bitIndex0)) | v90(constB76, bitIndex0)),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10045,plain,
% 6.85/4.97 (~v90(constB77, bitIndex0)),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10044, 10043, 10029])).
% 6.85/4.97 tff(10046,plain,
% 6.85/4.97 ((((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | ((~v90(constB77, bitIndex2)) <=> v90(constB76, bitIndex2)) | ((~v90(constB77, bitIndex0)) <=> v90(constB76, bitIndex0))) | (~((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10047,plain,
% 6.85/4.97 (~((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1))),
% 6.85/4.97 inference(unit_resolution,[status(thm)],[10046, 1452])).
% 6.85/4.97 tff(10048,plain,
% 6.85/4.97 ((((~v129(constB76, bitIndex2)) <=> v127(constB75, bitIndex2)) | ((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | ((~v129(constB76, bitIndex0)) <=> v127(constB75, bitIndex0))) | (~((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)))),
% 6.85/4.97 inference(tautology,[status(thm)],[])).
% 6.85/4.97 tff(10049,plain,
% 6.85/4.98 (~((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1))),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10048, 1461])).
% 6.85/4.98 tff(10050,plain,
% 6.85/4.98 ((((~v127(constB75, bitIndex2)) <=> v130(constB75, bitIndex2)) | ((~v127(constB75, bitIndex0)) <=> v130(constB75, bitIndex0)) | ((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1))) | (~((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)))),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10051,plain,
% 6.85/4.98 (~((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1))),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10050, 1475])).
% 6.85/4.98 tff(10052,plain,
% 6.85/4.98 ((v130(constB75, bitIndex2) | v130(constB75, bitIndex0) | (~v130(constB75, bitIndex1))) | v130(constB75, bitIndex1)),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10053,plain,
% 6.85/4.98 (v130(constB75, bitIndex1)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10052, 9914])).
% 6.85/4.98 tff(10054,plain,
% 6.85/4.98 (((~v127(constB75, bitIndex1)) <=> v130(constB75, bitIndex1)) | v127(constB75, bitIndex1) | (~v130(constB75, bitIndex1))),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10055,plain,
% 6.85/4.98 (v127(constB75, bitIndex1)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10054, 10053, 10051])).
% 6.85/4.98 tff(10056,plain,
% 6.85/4.98 (((~v129(constB76, bitIndex1)) <=> v127(constB75, bitIndex1)) | v129(constB76, bitIndex1) | (~v127(constB75, bitIndex1))),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10057,plain,
% 6.85/4.98 (v129(constB76, bitIndex1)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10056, 10055, 10049])).
% 6.85/4.98 tff(10058,plain,
% 6.85/4.98 ((((~v90(constB76, bitIndex2)) <=> v129(constB76, bitIndex2)) | ((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | ((~v90(constB76, bitIndex0)) <=> v129(constB76, bitIndex0))) | (~((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)))),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10059,plain,
% 6.85/4.98 (~((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1))),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10058, 10021])).
% 6.85/4.98 tff(10060,plain,
% 6.85/4.98 (((~v90(constB76, bitIndex1)) <=> v129(constB76, bitIndex1)) | v90(constB76, bitIndex1) | (~v129(constB76, bitIndex1))),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10061,plain,
% 6.85/4.98 (v90(constB76, bitIndex1)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10060, 10059, 10057])).
% 6.85/4.98 tff(10062,plain,
% 6.85/4.98 (((~v90(constB77, bitIndex1)) <=> v90(constB76, bitIndex1)) | v90(constB77, bitIndex1) | (~v90(constB76, bitIndex1))),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10063,plain,
% 6.85/4.98 (v90(constB77, bitIndex1)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10062, 10061, 10047])).
% 6.85/4.98 tff(10064,plain,
% 6.85/4.98 ((~(v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)))) | v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1))),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10065,plain,
% 6.85/4.98 (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)))),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10064, 10063, 10045, 10027])).
% 6.85/4.98 tff(10066,plain,
% 6.85/4.98 ((~(v121(constB77) <=> (~(v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)))))) | v121(constB77) | (v90(constB77, bitIndex2) | v90(constB77, bitIndex0) | (~v90(constB77, bitIndex1)))),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10067,plain,
% 6.85/4.98 (v121(constB77)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10066, 10065, 1418])).
% 6.85/4.98 tff(10068,plain,
% 6.85/4.98 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB77)) | (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex0)) | (~v130(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB77)) | (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex0)) | (~v130(constB77, bitIndex1)))))),
% 6.85/4.98 inference(rewrite,[status(thm)],[])).
% 6.85/4.98 tff(10069,plain,
% 6.85/4.98 (((~v121(constB77)) | (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex1)) | (~v130(constB77, bitIndex0))))) <=> ((~v121(constB77)) | (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex0)) | (~v130(constB77, bitIndex1)))))),
% 6.85/4.98 inference(rewrite,[status(thm)],[])).
% 6.85/4.98 tff(10070,plain,
% 6.85/4.98 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB77)) | (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex1)) | (~v130(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB77)) | (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex0)) | (~v130(constB77, bitIndex1))))))),
% 6.85/4.98 inference(monotonicity,[status(thm)],[10069])).
% 6.85/4.98 tff(10071,plain,
% 6.85/4.98 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB77)) | (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex1)) | (~v130(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB77)) | (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex0)) | (~v130(constB77, bitIndex1)))))),
% 6.85/4.98 inference(transitivity,[status(thm)],[10070, 10068])).
% 6.85/4.98 tff(10072,plain,
% 6.85/4.98 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB77)) | (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex1)) | (~v130(constB77, bitIndex0)))))),
% 6.85/4.98 inference(quant_inst,[status(thm)],[])).
% 6.85/4.98 tff(10073,plain,
% 6.85/4.98 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB77)) | (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex0)) | (~v130(constB77, bitIndex1))))),
% 6.85/4.98 inference(modus_ponens,[status(thm)],[10072, 10071])).
% 6.85/4.98 tff(10074,plain,
% 6.85/4.98 ((~v121(constB77)) | (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex0)) | (~v130(constB77, bitIndex1))))),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10073, 4392])).
% 6.85/4.98 tff(10075,plain,
% 6.85/4.98 (~(v130(constB77, bitIndex2) | (~v130(constB77, bitIndex0)) | (~v130(constB77, bitIndex1)))),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10074, 10067])).
% 6.85/4.98 tff(10076,plain,
% 6.85/4.98 ((v130(constB77, bitIndex2) | (~v130(constB77, bitIndex0)) | (~v130(constB77, bitIndex1))) | (~v130(constB77, bitIndex2))),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10077,plain,
% 6.85/4.98 (~v130(constB77, bitIndex2)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10076, 10075])).
% 6.85/4.98 tff(10078,plain,
% 6.85/4.98 (((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | (~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10079,plain,
% 6.85/4.98 (~v127(constB77, bitIndex2)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10078, 10077, 1411])).
% 6.85/4.98 tff(10080,plain,
% 6.85/4.98 (((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | (~v129(constB78, bitIndex2)) | v127(constB77, bitIndex2)),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10081,plain,
% 6.85/4.98 (~v129(constB78, bitIndex2)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10080, 10079, 1397])).
% 6.85/4.98 tff(10082,plain,
% 6.85/4.98 (((~![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))))))),
% 6.85/4.98 inference(rewrite,[status(thm)],[])).
% 6.85/4.98 tff(10083,plain,
% 6.85/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))))),
% 6.85/4.98 inference(quant_inst,[status(thm)],[])).
% 6.85/4.98 tff(10084,plain,
% 6.85/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB77, constB78)) | (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))),
% 6.85/4.98 inference(modus_ponens,[status(thm)],[10083, 10082])).
% 6.85/4.98 tff(10085,plain,
% 6.85/4.98 (v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78))))),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10084, 1391, 433])).
% 6.85/4.98 tff(10086,plain,
% 6.85/4.98 (((~![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))))))),
% 6.85/4.98 inference(rewrite,[status(thm)],[])).
% 6.85/4.98 tff(10087,plain,
% 6.85/4.98 (((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78)))))) <=> ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))))),
% 6.85/4.98 inference(rewrite,[status(thm)],[])).
% 6.85/4.98 tff(10088,plain,
% 6.85/4.98 (((~![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)))))))),
% 6.85/4.98 inference(monotonicity,[status(thm)],[10087])).
% 6.85/4.98 tff(10089,plain,
% 6.85/4.98 (((~![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))))))),
% 6.85/4.98 inference(transitivity,[status(thm)],[10088, 10086])).
% 6.85/4.98 tff(10090,plain,
% 6.85/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v102(constB78)) | (~v1(constB78))))))),
% 6.85/4.98 inference(quant_inst,[status(thm)],[])).
% 6.85/4.98 tff(10091,plain,
% 6.85/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))),
% 6.85/4.98 inference(modus_ponens,[status(thm)],[10090, 10089])).
% 6.85/4.98 tff(10092,plain,
% 6.85/4.98 (v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78))))),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10091, 1391, 453])).
% 6.85/4.98 tff(10093,plain,
% 6.85/4.98 (((~![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)))),
% 6.85/4.98 inference(rewrite,[status(thm)],[])).
% 6.85/4.98 tff(10094,plain,
% 6.85/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78)))),
% 6.85/4.98 inference(quant_inst,[status(thm)],[])).
% 6.85/4.98 tff(10095,plain,
% 6.85/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB77, constB78)) | ((~v102(constB78)) <=> v104(constB78))),
% 6.85/4.98 inference(modus_ponens,[status(thm)],[10094, 10093])).
% 6.85/4.98 tff(10096,plain,
% 6.85/4.98 ((~v102(constB78)) <=> v104(constB78)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10095, 1391, 3966])).
% 6.85/4.98 tff(10097,plain,
% 6.85/4.98 (((~![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)))),
% 6.85/4.98 inference(rewrite,[status(thm)],[])).
% 6.85/4.98 tff(10098,plain,
% 6.85/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77)))),
% 6.85/4.98 inference(quant_inst,[status(thm)],[])).
% 6.85/4.98 tff(10099,plain,
% 6.85/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v1(constB77))),
% 6.85/4.98 inference(modus_ponens,[status(thm)],[10098, 10097])).
% 6.85/4.98 tff(10100,plain,
% 6.85/4.98 (v104(constB78) <=> v1(constB77)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10099, 1391, 3980])).
% 6.85/4.98 tff(10101,plain,
% 6.85/4.98 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78)) | v1(constB77)),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10102,plain,
% 6.85/4.98 ((~(v104(constB78) <=> v1(constB77))) | (~v104(constB78))),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10101, 1435])).
% 6.85/4.98 tff(10103,plain,
% 6.85/4.98 (~v104(constB78)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10102, 10100])).
% 6.85/4.98 tff(10104,plain,
% 6.85/4.98 ((~((~v102(constB78)) <=> v104(constB78))) | v102(constB78) | v104(constB78)),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10105,plain,
% 6.85/4.98 (v102(constB78)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10104, 10103, 10096])).
% 6.85/4.98 tff(10106,plain,
% 6.85/4.98 (v1(constB78) <=> v1(constB78)),
% 6.85/4.98 inference(rewrite,[status(thm)],[])).
% 6.85/4.98 tff(10107,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78')).
% 6.85/4.98 tff(10108,plain,
% 6.85/4.98 (v1(constB78)),
% 6.85/4.98 inference(modus_ponens,[status(thm)],[10107, 10106])).
% 6.85/4.98 tff(10109,plain,
% 6.85/4.98 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v1(constB78)) | (~v102(constB78))),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10110,plain,
% 6.85/4.98 ((~((~v1(constB78)) | (~v102(constB78)))) | (~v102(constB78))),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10109, 10108])).
% 6.85/4.98 tff(10111,plain,
% 6.85/4.98 (~((~v1(constB78)) | (~v102(constB78)))),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10110, 10105])).
% 6.85/4.98 tff(10112,plain,
% 6.85/4.98 ((~(v101(constB78) <=> (~((~v1(constB78)) | (~v102(constB78)))))) | v101(constB78) | ((~v1(constB78)) | (~v102(constB78)))),
% 6.85/4.98 inference(tautology,[status(thm)],[])).
% 6.85/4.98 tff(10113,plain,
% 6.85/4.98 (v101(constB78)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10112, 10111, 10092])).
% 6.85/4.98 tff(10114,plain,
% 6.85/4.98 (((~![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)))),
% 6.85/4.98 inference(rewrite,[status(thm)],[])).
% 6.85/4.98 tff(10115,plain,
% 6.85/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77)))),
% 6.85/4.98 inference(quant_inst,[status(thm)],[])).
% 6.85/4.98 tff(10116,plain,
% 6.85/4.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB77, constB78)) | (v110(constB78) <=> v108(constB77))),
% 6.85/4.98 inference(modus_ponens,[status(thm)],[10115, 10114])).
% 6.85/4.98 tff(10117,plain,
% 6.85/4.98 (v110(constB78) <=> v108(constB77)),
% 6.85/4.98 inference(unit_resolution,[status(thm)],[10116, 1391, 4007])).
% 6.85/4.98 tff(10118,plain,
% 6.85/4.98 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB77) <=> (v111(constB77) | v112(constB77)))),
% 6.85/4.98 inference(quant_inst,[status(thm)],[])).
% 6.85/4.98 tff(10119,plain,
% 6.85/4.98 (v108(constB77) <=> (v111(constB77) | v112(constB77))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10118, 4018])).
% 6.87/4.98 tff(10120,plain,
% 6.87/4.98 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))),
% 6.87/4.98 inference(quant_inst,[status(thm)],[])).
% 6.87/4.98 tff(10121,plain,
% 6.87/4.98 (v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77))))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10120, 4030])).
% 6.87/4.98 tff(10122,plain,
% 6.87/4.98 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB77) <=> (v114(constB77) | v125(constB77)))),
% 6.87/4.98 inference(quant_inst,[status(thm)],[])).
% 6.87/4.98 tff(10123,plain,
% 6.87/4.98 (v113(constB77) <=> (v114(constB77) | v125(constB77))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10122, 4039])).
% 6.87/4.98 tff(10124,plain,
% 6.87/4.98 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB77) <=> (v115(constB77) | v124(constB77)))),
% 6.87/4.98 inference(quant_inst,[status(thm)],[])).
% 6.87/4.98 tff(10125,plain,
% 6.87/4.98 (v114(constB77) <=> (v115(constB77) | v124(constB77))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10124, 4048])).
% 6.87/4.98 tff(10126,plain,
% 6.87/4.98 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB77) <=> (v116(constB77) | v123(constB77)))),
% 6.87/4.98 inference(quant_inst,[status(thm)],[])).
% 6.87/4.98 tff(10127,plain,
% 6.87/4.98 (v115(constB77) <=> (v116(constB77) | v123(constB77))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10126, 4057])).
% 6.87/4.98 tff(10128,plain,
% 6.87/4.98 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB77) <=> (v117(constB77) | v122(constB77)))),
% 6.87/4.98 inference(quant_inst,[status(thm)],[])).
% 6.87/4.98 tff(10129,plain,
% 6.87/4.98 (v116(constB77) <=> (v117(constB77) | v122(constB77))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10128, 4066])).
% 6.87/4.98 tff(10130,plain,
% 6.87/4.98 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB77) <=> (v118(constB77) | v121(constB77)))),
% 6.87/4.98 inference(quant_inst,[status(thm)],[])).
% 6.87/4.98 tff(10131,plain,
% 6.87/4.98 (v117(constB77) <=> (v118(constB77) | v121(constB77))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10130, 4075])).
% 6.87/4.98 tff(10132,plain,
% 6.87/4.98 ((v118(constB77) | v121(constB77)) | (~v121(constB77))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10133,plain,
% 6.87/4.98 (v118(constB77) | v121(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10132, 10067])).
% 6.87/4.98 tff(10134,plain,
% 6.87/4.98 ((~(v117(constB77) <=> (v118(constB77) | v121(constB77)))) | v117(constB77) | (~(v118(constB77) | v121(constB77)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10135,plain,
% 6.87/4.98 (v117(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10134, 10133, 10131])).
% 6.87/4.98 tff(10136,plain,
% 6.87/4.98 ((v117(constB77) | v122(constB77)) | (~v117(constB77))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10137,plain,
% 6.87/4.98 (v117(constB77) | v122(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10136, 10135])).
% 6.87/4.98 tff(10138,plain,
% 6.87/4.98 ((~(v116(constB77) <=> (v117(constB77) | v122(constB77)))) | v116(constB77) | (~(v117(constB77) | v122(constB77)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10139,plain,
% 6.87/4.98 (v116(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10138, 10137, 10129])).
% 6.87/4.98 tff(10140,plain,
% 6.87/4.98 ((v116(constB77) | v123(constB77)) | (~v116(constB77))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10141,plain,
% 6.87/4.98 (v116(constB77) | v123(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10140, 10139])).
% 6.87/4.98 tff(10142,plain,
% 6.87/4.98 ((~(v115(constB77) <=> (v116(constB77) | v123(constB77)))) | v115(constB77) | (~(v116(constB77) | v123(constB77)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10143,plain,
% 6.87/4.98 (v115(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10142, 10141, 10127])).
% 6.87/4.98 tff(10144,plain,
% 6.87/4.98 ((v115(constB77) | v124(constB77)) | (~v115(constB77))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10145,plain,
% 6.87/4.98 (v115(constB77) | v124(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10144, 10143])).
% 6.87/4.98 tff(10146,plain,
% 6.87/4.98 ((~(v114(constB77) <=> (v115(constB77) | v124(constB77)))) | v114(constB77) | (~(v115(constB77) | v124(constB77)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10147,plain,
% 6.87/4.98 (v114(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10146, 10145, 10125])).
% 6.87/4.98 tff(10148,plain,
% 6.87/4.98 ((v114(constB77) | v125(constB77)) | (~v114(constB77))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10149,plain,
% 6.87/4.98 (v114(constB77) | v125(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10148, 10147])).
% 6.87/4.98 tff(10150,plain,
% 6.87/4.98 ((~(v113(constB77) <=> (v114(constB77) | v125(constB77)))) | v113(constB77) | (~(v114(constB77) | v125(constB77)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10151,plain,
% 6.87/4.98 (v113(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10150, 10149, 10123])).
% 6.87/4.98 tff(10152,plain,
% 6.87/4.98 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB77)) <=> v111(constB77))),
% 6.87/4.98 inference(quant_inst,[status(thm)],[])).
% 6.87/4.98 tff(10153,plain,
% 6.87/4.98 ((~v126(constB77)) <=> v111(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10152, 4118])).
% 6.87/4.98 tff(10154,plain,
% 6.87/4.98 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77) | v111(constB77)),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10155,plain,
% 6.87/4.98 ((~((~v126(constB77)) <=> v111(constB77))) | v126(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10154, 1404])).
% 6.87/4.98 tff(10156,plain,
% 6.87/4.98 (v126(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10155, 10153])).
% 6.87/4.98 tff(10157,plain,
% 6.87/4.98 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77)) | (~v126(constB77))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10158,plain,
% 6.87/4.98 ((~((~v113(constB77)) | (~v126(constB77)))) | (~v113(constB77))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10157, 10156])).
% 6.87/4.98 tff(10159,plain,
% 6.87/4.98 (~((~v113(constB77)) | (~v126(constB77)))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10158, 10151])).
% 6.87/4.98 tff(10160,plain,
% 6.87/4.98 ((~(v112(constB77) <=> (~((~v113(constB77)) | (~v126(constB77)))))) | v112(constB77) | ((~v113(constB77)) | (~v126(constB77)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10161,plain,
% 6.87/4.98 (v112(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10160, 10159, 10121])).
% 6.87/4.98 tff(10162,plain,
% 6.87/4.98 ((v111(constB77) | v112(constB77)) | (~v112(constB77))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10163,plain,
% 6.87/4.98 (v111(constB77) | v112(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10162, 10161])).
% 6.87/4.98 tff(10164,plain,
% 6.87/4.98 ((~(v108(constB77) <=> (v111(constB77) | v112(constB77)))) | v108(constB77) | (~(v111(constB77) | v112(constB77)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10165,plain,
% 6.87/4.98 (v108(constB77)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10164, 10163, 10119])).
% 6.87/4.98 tff(10166,plain,
% 6.87/4.98 ((~(v110(constB78) <=> v108(constB77))) | v110(constB78) | (~v108(constB77))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10167,plain,
% 6.87/4.98 (v110(constB78)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10166, 10165, 10117])).
% 6.87/4.98 tff(10168,plain,
% 6.87/4.98 ((~((~v101(constB78)) | (~v110(constB78)))) | (~v101(constB78)) | (~v110(constB78))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10169,plain,
% 6.87/4.98 (~((~v101(constB78)) | (~v110(constB78)))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10168, 10167, 10113])).
% 6.87/4.98 tff(10170,plain,
% 6.87/4.98 ((~(v100(constB78) <=> (~((~v101(constB78)) | (~v110(constB78)))))) | v100(constB78) | ((~v101(constB78)) | (~v110(constB78)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10171,plain,
% 6.87/4.98 (v100(constB78)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10170, 10169, 10085])).
% 6.87/4.98 tff(10172,plain,
% 6.87/4.98 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.87/4.98 inference(rewrite,[status(thm)],[])).
% 6.87/4.98 tff(10173,plain,
% 6.87/4.98 (((~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)))))),
% 6.87/4.98 inference(rewrite,[status(thm)],[])).
% 6.87/4.98 tff(10174,plain,
% 6.87/4.98 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 6.87/4.98 inference(monotonicity,[status(thm)],[10173])).
% 6.87/4.98 tff(10175,plain,
% 6.87/4.98 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.87/4.98 inference(transitivity,[status(thm)],[10174, 10172])).
% 6.87/4.98 tff(10176,plain,
% 6.87/4.98 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB78)) | (~(((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)) | ((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)))))),
% 6.87/4.98 inference(quant_inst,[status(thm)],[])).
% 6.87/4.98 tff(10177,plain,
% 6.87/4.98 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB78)) | (~(((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))))),
% 6.87/4.98 inference(modus_ponens,[status(thm)],[10176, 10175])).
% 6.87/4.98 tff(10178,plain,
% 6.87/4.98 ((~v100(constB78)) | (~(((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10177, 4151])).
% 6.87/4.98 tff(10179,plain,
% 6.87/4.98 (~(((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10178, 10171])).
% 6.87/4.98 tff(10180,plain,
% 6.87/4.98 ((((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))) | (~((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10181,plain,
% 6.87/4.98 (~((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10180, 10179])).
% 6.87/4.98 tff(10182,plain,
% 6.87/4.98 (((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2)),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10183,plain,
% 6.87/4.98 (~v90(constB78, bitIndex2)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10182, 10181, 10081])).
% 6.87/4.98 tff(10184,plain,
% 6.87/4.98 (((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | (~v90(constB79, bitIndex2)) | v90(constB78, bitIndex2)),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10185,plain,
% 6.87/4.98 (~v90(constB79, bitIndex2)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10184, 10183, 1388])).
% 6.87/4.98 tff(10186,plain,
% 6.87/4.98 ((((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))) | (~((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10187,plain,
% 6.87/4.98 (~((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10186, 1386])).
% 6.87/4.98 tff(10188,plain,
% 6.87/4.98 ((((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0))) | (~((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10189,plain,
% 6.87/4.98 (~((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10188, 1395])).
% 6.87/4.98 tff(10190,plain,
% 6.87/4.98 ((((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1))) | (~((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10191,plain,
% 6.87/4.98 (~((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10190, 1409])).
% 6.87/4.98 tff(10192,plain,
% 6.87/4.98 ((v130(constB77, bitIndex2) | (~v130(constB77, bitIndex0)) | (~v130(constB77, bitIndex1))) | v130(constB77, bitIndex0)),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10193,plain,
% 6.87/4.98 (v130(constB77, bitIndex0)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10192, 10075])).
% 6.87/4.98 tff(10194,plain,
% 6.87/4.98 (((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)) | v127(constB77, bitIndex0) | (~v130(constB77, bitIndex0))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10195,plain,
% 6.87/4.98 (v127(constB77, bitIndex0)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10194, 10193, 10191])).
% 6.87/4.98 tff(10196,plain,
% 6.87/4.98 (((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0)) | v129(constB78, bitIndex0) | (~v127(constB77, bitIndex0))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10197,plain,
% 6.87/4.98 (v129(constB78, bitIndex0)),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10196, 10195, 10189])).
% 6.87/4.98 tff(10198,plain,
% 6.87/4.98 ((((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))) | (~((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)))),
% 6.87/4.98 inference(tautology,[status(thm)],[])).
% 6.87/4.98 tff(10199,plain,
% 6.87/4.98 (~((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0))),
% 6.87/4.98 inference(unit_resolution,[status(thm)],[10198, 10179])).
% 6.87/4.98 tff(10200,plain,
% 6.87/4.98 (((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | v90(constB78, bitIndex0) | (~v129(constB78, bitIndex0))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10201,plain,
% 6.87/4.99 (v90(constB78, bitIndex0)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10200, 10199, 10197])).
% 6.87/4.99 tff(10202,plain,
% 6.87/4.99 (((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0)) | v90(constB79, bitIndex0) | (~v90(constB78, bitIndex0))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10203,plain,
% 6.87/4.99 (v90(constB79, bitIndex0)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10202, 10201, 10187])).
% 6.87/4.99 tff(10204,plain,
% 6.87/4.99 ((((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | ((~v90(constB79, bitIndex2)) <=> v90(constB78, bitIndex2)) | ((~v90(constB79, bitIndex0)) <=> v90(constB78, bitIndex0))) | (~((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10205,plain,
% 6.87/4.99 (~((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10204, 1386])).
% 6.87/4.99 tff(10206,plain,
% 6.87/4.99 ((((~v129(constB78, bitIndex2)) <=> v127(constB77, bitIndex2)) | ((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | ((~v129(constB78, bitIndex0)) <=> v127(constB77, bitIndex0))) | (~((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10207,plain,
% 6.87/4.99 (~((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10206, 1395])).
% 6.87/4.99 tff(10208,plain,
% 6.87/4.99 ((((~v127(constB77, bitIndex2)) <=> v130(constB77, bitIndex2)) | ((~v127(constB77, bitIndex0)) <=> v130(constB77, bitIndex0)) | ((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1))) | (~((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10209,plain,
% 6.87/4.99 (~((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10208, 1409])).
% 6.87/4.99 tff(10210,plain,
% 6.87/4.99 ((v130(constB77, bitIndex2) | (~v130(constB77, bitIndex0)) | (~v130(constB77, bitIndex1))) | v130(constB77, bitIndex1)),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10211,plain,
% 6.87/4.99 (v130(constB77, bitIndex1)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10210, 10075])).
% 6.87/4.99 tff(10212,plain,
% 6.87/4.99 (((~v127(constB77, bitIndex1)) <=> v130(constB77, bitIndex1)) | v127(constB77, bitIndex1) | (~v130(constB77, bitIndex1))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10213,plain,
% 6.87/4.99 (v127(constB77, bitIndex1)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10212, 10211, 10209])).
% 6.87/4.99 tff(10214,plain,
% 6.87/4.99 (((~v129(constB78, bitIndex1)) <=> v127(constB77, bitIndex1)) | v129(constB78, bitIndex1) | (~v127(constB77, bitIndex1))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10215,plain,
% 6.87/4.99 (v129(constB78, bitIndex1)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10214, 10213, 10207])).
% 6.87/4.99 tff(10216,plain,
% 6.87/4.99 ((((~v90(constB78, bitIndex0)) <=> v129(constB78, bitIndex0)) | ((~v90(constB78, bitIndex2)) <=> v129(constB78, bitIndex2)) | ((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))) | (~((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10217,plain,
% 6.87/4.99 (~((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10216, 10179])).
% 6.87/4.99 tff(10218,plain,
% 6.87/4.99 (((~v90(constB78, bitIndex1)) <=> v129(constB78, bitIndex1)) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10219,plain,
% 6.87/4.99 (v90(constB78, bitIndex1)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10218, 10217, 10215])).
% 6.87/4.99 tff(10220,plain,
% 6.87/4.99 (((~v90(constB79, bitIndex1)) <=> v90(constB78, bitIndex1)) | v90(constB79, bitIndex1) | (~v90(constB78, bitIndex1))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10221,plain,
% 6.87/4.99 (v90(constB79, bitIndex1)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10220, 10219, 10205])).
% 6.87/4.99 tff(10222,plain,
% 6.87/4.99 ((~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))) | v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10223,plain,
% 6.87/4.99 (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10222, 10221, 10203, 10185])).
% 6.87/4.99 tff(10224,plain,
% 6.87/4.99 ((~(v122(constB79) <=> (~(v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))))) | v122(constB79) | (v90(constB79, bitIndex2) | (~v90(constB79, bitIndex1)) | (~v90(constB79, bitIndex0)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10225,plain,
% 6.87/4.99 (v122(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10224, 10223, 1352])).
% 6.87/4.99 tff(10226,plain,
% 6.87/4.99 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB79)) | (~(v130(constB79, bitIndex0) | v130(constB79, bitIndex1) | (~v130(constB79, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB79)) | (~(v130(constB79, bitIndex0) | v130(constB79, bitIndex1) | (~v130(constB79, bitIndex2)))))),
% 6.87/4.99 inference(rewrite,[status(thm)],[])).
% 6.87/4.99 tff(10227,plain,
% 6.87/4.99 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB79)) | (~(v130(constB79, bitIndex0) | v130(constB79, bitIndex1) | (~v130(constB79, bitIndex2)))))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10228,plain,
% 6.87/4.99 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB79)) | (~(v130(constB79, bitIndex0) | v130(constB79, bitIndex1) | (~v130(constB79, bitIndex2))))),
% 6.87/4.99 inference(modus_ponens,[status(thm)],[10227, 10226])).
% 6.87/4.99 tff(10229,plain,
% 6.87/4.99 ((~v122(constB79)) | (~(v130(constB79, bitIndex0) | v130(constB79, bitIndex1) | (~v130(constB79, bitIndex2))))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10228, 4563])).
% 6.87/4.99 tff(10230,plain,
% 6.87/4.99 (~(v130(constB79, bitIndex0) | v130(constB79, bitIndex1) | (~v130(constB79, bitIndex2)))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10229, 10225])).
% 6.87/4.99 tff(10231,plain,
% 6.87/4.99 ((v130(constB79, bitIndex0) | v130(constB79, bitIndex1) | (~v130(constB79, bitIndex2))) | v130(constB79, bitIndex2)),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10232,plain,
% 6.87/4.99 (v130(constB79, bitIndex2)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10231, 10230])).
% 6.87/4.99 tff(10233,plain,
% 6.87/4.99 (((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | v127(constB79, bitIndex2) | (~v130(constB79, bitIndex2))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10234,plain,
% 6.87/4.99 (v127(constB79, bitIndex2)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10233, 10232, 1345])).
% 6.87/4.99 tff(10235,plain,
% 6.87/4.99 (((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | v129(constB80, bitIndex2) | (~v127(constB79, bitIndex2))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10236,plain,
% 6.87/4.99 (v129(constB80, bitIndex2)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10235, 10234, 1331])).
% 6.87/4.99 tff(10237,plain,
% 6.87/4.99 (((~![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))))))),
% 6.87/4.99 inference(rewrite,[status(thm)],[])).
% 6.87/4.99 tff(10238,plain,
% 6.87/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10239,plain,
% 6.87/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB79, constB80)) | (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))),
% 6.87/4.99 inference(modus_ponens,[status(thm)],[10238, 10237])).
% 6.87/4.99 tff(10240,plain,
% 6.87/4.99 (v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80))))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10239, 1325, 433])).
% 6.87/4.99 tff(10241,plain,
% 6.87/4.99 (((~![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))))))),
% 6.87/4.99 inference(rewrite,[status(thm)],[])).
% 6.87/4.99 tff(10242,plain,
% 6.87/4.99 (((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80)))))) <=> ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))))),
% 6.87/4.99 inference(rewrite,[status(thm)],[])).
% 6.87/4.99 tff(10243,plain,
% 6.87/4.99 (((~![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)))))))),
% 6.87/4.99 inference(monotonicity,[status(thm)],[10242])).
% 6.87/4.99 tff(10244,plain,
% 6.87/4.99 (((~![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))))))),
% 6.87/4.99 inference(transitivity,[status(thm)],[10243, 10241])).
% 6.87/4.99 tff(10245,plain,
% 6.87/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v102(constB80)) | (~v1(constB80))))))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10246,plain,
% 6.87/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))),
% 6.87/4.99 inference(modus_ponens,[status(thm)],[10245, 10244])).
% 6.87/4.99 tff(10247,plain,
% 6.87/4.99 (v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80))))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10246, 1325, 453])).
% 6.87/4.99 tff(10248,plain,
% 6.87/4.99 (((~![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)))),
% 6.87/4.99 inference(rewrite,[status(thm)],[])).
% 6.87/4.99 tff(10249,plain,
% 6.87/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80)))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10250,plain,
% 6.87/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB79, constB80)) | ((~v102(constB80)) <=> v104(constB80))),
% 6.87/4.99 inference(modus_ponens,[status(thm)],[10249, 10248])).
% 6.87/4.99 tff(10251,plain,
% 6.87/4.99 ((~v102(constB80)) <=> v104(constB80)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10250, 1325, 3966])).
% 6.87/4.99 tff(10252,plain,
% 6.87/4.99 (((~![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)))),
% 6.87/4.99 inference(rewrite,[status(thm)],[])).
% 6.87/4.99 tff(10253,plain,
% 6.87/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79)))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10254,plain,
% 6.87/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v1(constB79))),
% 6.87/4.99 inference(modus_ponens,[status(thm)],[10253, 10252])).
% 6.87/4.99 tff(10255,plain,
% 6.87/4.99 (v104(constB80) <=> v1(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10254, 1325, 3980])).
% 6.87/4.99 tff(10256,plain,
% 6.87/4.99 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80)) | v1(constB79)),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10257,plain,
% 6.87/4.99 ((~(v104(constB80) <=> v1(constB79))) | (~v104(constB80))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10256, 1369])).
% 6.87/4.99 tff(10258,plain,
% 6.87/4.99 (~v104(constB80)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10257, 10255])).
% 6.87/4.99 tff(10259,plain,
% 6.87/4.99 ((~((~v102(constB80)) <=> v104(constB80))) | v102(constB80) | v104(constB80)),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10260,plain,
% 6.87/4.99 (v102(constB80)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10259, 10258, 10251])).
% 6.87/4.99 tff(10261,plain,
% 6.87/4.99 (v1(constB80) <=> v1(constB80)),
% 6.87/4.99 inference(rewrite,[status(thm)],[])).
% 6.87/4.99 tff(10262,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80')).
% 6.87/4.99 tff(10263,plain,
% 6.87/4.99 (v1(constB80)),
% 6.87/4.99 inference(modus_ponens,[status(thm)],[10262, 10261])).
% 6.87/4.99 tff(10264,plain,
% 6.87/4.99 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v1(constB80)) | (~v102(constB80))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10265,plain,
% 6.87/4.99 ((~((~v1(constB80)) | (~v102(constB80)))) | (~v102(constB80))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10264, 10263])).
% 6.87/4.99 tff(10266,plain,
% 6.87/4.99 (~((~v1(constB80)) | (~v102(constB80)))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10265, 10260])).
% 6.87/4.99 tff(10267,plain,
% 6.87/4.99 ((~(v101(constB80) <=> (~((~v1(constB80)) | (~v102(constB80)))))) | v101(constB80) | ((~v1(constB80)) | (~v102(constB80)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10268,plain,
% 6.87/4.99 (v101(constB80)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10267, 10266, 10247])).
% 6.87/4.99 tff(10269,plain,
% 6.87/4.99 (((~![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)))),
% 6.87/4.99 inference(rewrite,[status(thm)],[])).
% 6.87/4.99 tff(10270,plain,
% 6.87/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79)))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10271,plain,
% 6.87/4.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB79, constB80)) | (v110(constB80) <=> v108(constB79))),
% 6.87/4.99 inference(modus_ponens,[status(thm)],[10270, 10269])).
% 6.87/4.99 tff(10272,plain,
% 6.87/4.99 (v110(constB80) <=> v108(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10271, 1325, 4007])).
% 6.87/4.99 tff(10273,plain,
% 6.87/4.99 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB79) <=> (v111(constB79) | v112(constB79)))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10274,plain,
% 6.87/4.99 (v108(constB79) <=> (v111(constB79) | v112(constB79))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10273, 4018])).
% 6.87/4.99 tff(10275,plain,
% 6.87/4.99 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10276,plain,
% 6.87/4.99 (v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79))))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10275, 4030])).
% 6.87/4.99 tff(10277,plain,
% 6.87/4.99 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB79) <=> (v114(constB79) | v125(constB79)))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10278,plain,
% 6.87/4.99 (v113(constB79) <=> (v114(constB79) | v125(constB79))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10277, 4039])).
% 6.87/4.99 tff(10279,plain,
% 6.87/4.99 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB79) <=> (v115(constB79) | v124(constB79)))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10280,plain,
% 6.87/4.99 (v114(constB79) <=> (v115(constB79) | v124(constB79))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10279, 4048])).
% 6.87/4.99 tff(10281,plain,
% 6.87/4.99 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB79) <=> (v116(constB79) | v123(constB79)))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10282,plain,
% 6.87/4.99 (v115(constB79) <=> (v116(constB79) | v123(constB79))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10281, 4057])).
% 6.87/4.99 tff(10283,plain,
% 6.87/4.99 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB79) <=> (v117(constB79) | v122(constB79)))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10284,plain,
% 6.87/4.99 (v116(constB79) <=> (v117(constB79) | v122(constB79))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10283, 4066])).
% 6.87/4.99 tff(10285,plain,
% 6.87/4.99 ((v117(constB79) | v122(constB79)) | (~v122(constB79))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10286,plain,
% 6.87/4.99 (v117(constB79) | v122(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10285, 10225])).
% 6.87/4.99 tff(10287,plain,
% 6.87/4.99 ((~(v116(constB79) <=> (v117(constB79) | v122(constB79)))) | v116(constB79) | (~(v117(constB79) | v122(constB79)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10288,plain,
% 6.87/4.99 (v116(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10287, 10286, 10284])).
% 6.87/4.99 tff(10289,plain,
% 6.87/4.99 ((v116(constB79) | v123(constB79)) | (~v116(constB79))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10290,plain,
% 6.87/4.99 (v116(constB79) | v123(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10289, 10288])).
% 6.87/4.99 tff(10291,plain,
% 6.87/4.99 ((~(v115(constB79) <=> (v116(constB79) | v123(constB79)))) | v115(constB79) | (~(v116(constB79) | v123(constB79)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10292,plain,
% 6.87/4.99 (v115(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10291, 10290, 10282])).
% 6.87/4.99 tff(10293,plain,
% 6.87/4.99 ((v115(constB79) | v124(constB79)) | (~v115(constB79))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10294,plain,
% 6.87/4.99 (v115(constB79) | v124(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10293, 10292])).
% 6.87/4.99 tff(10295,plain,
% 6.87/4.99 ((~(v114(constB79) <=> (v115(constB79) | v124(constB79)))) | v114(constB79) | (~(v115(constB79) | v124(constB79)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10296,plain,
% 6.87/4.99 (v114(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10295, 10294, 10280])).
% 6.87/4.99 tff(10297,plain,
% 6.87/4.99 ((v114(constB79) | v125(constB79)) | (~v114(constB79))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10298,plain,
% 6.87/4.99 (v114(constB79) | v125(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10297, 10296])).
% 6.87/4.99 tff(10299,plain,
% 6.87/4.99 ((~(v113(constB79) <=> (v114(constB79) | v125(constB79)))) | v113(constB79) | (~(v114(constB79) | v125(constB79)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10300,plain,
% 6.87/4.99 (v113(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10299, 10298, 10278])).
% 6.87/4.99 tff(10301,plain,
% 6.87/4.99 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB79)) <=> v111(constB79))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10302,plain,
% 6.87/4.99 ((~v126(constB79)) <=> v111(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10301, 4118])).
% 6.87/4.99 tff(10303,plain,
% 6.87/4.99 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79) | v111(constB79)),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10304,plain,
% 6.87/4.99 ((~((~v126(constB79)) <=> v111(constB79))) | v126(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10303, 1338])).
% 6.87/4.99 tff(10305,plain,
% 6.87/4.99 (v126(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10304, 10302])).
% 6.87/4.99 tff(10306,plain,
% 6.87/4.99 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79)) | (~v126(constB79))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10307,plain,
% 6.87/4.99 ((~((~v113(constB79)) | (~v126(constB79)))) | (~v113(constB79))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10306, 10305])).
% 6.87/4.99 tff(10308,plain,
% 6.87/4.99 (~((~v113(constB79)) | (~v126(constB79)))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10307, 10300])).
% 6.87/4.99 tff(10309,plain,
% 6.87/4.99 ((~(v112(constB79) <=> (~((~v113(constB79)) | (~v126(constB79)))))) | v112(constB79) | ((~v113(constB79)) | (~v126(constB79)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10310,plain,
% 6.87/4.99 (v112(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10309, 10308, 10276])).
% 6.87/4.99 tff(10311,plain,
% 6.87/4.99 ((v111(constB79) | v112(constB79)) | (~v112(constB79))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10312,plain,
% 6.87/4.99 (v111(constB79) | v112(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10311, 10310])).
% 6.87/4.99 tff(10313,plain,
% 6.87/4.99 ((~(v108(constB79) <=> (v111(constB79) | v112(constB79)))) | v108(constB79) | (~(v111(constB79) | v112(constB79)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10314,plain,
% 6.87/4.99 (v108(constB79)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10313, 10312, 10274])).
% 6.87/4.99 tff(10315,plain,
% 6.87/4.99 ((~(v110(constB80) <=> v108(constB79))) | v110(constB80) | (~v108(constB79))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10316,plain,
% 6.87/4.99 (v110(constB80)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10315, 10314, 10272])).
% 6.87/4.99 tff(10317,plain,
% 6.87/4.99 ((~((~v101(constB80)) | (~v110(constB80)))) | (~v101(constB80)) | (~v110(constB80))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10318,plain,
% 6.87/4.99 (~((~v101(constB80)) | (~v110(constB80)))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10317, 10316, 10268])).
% 6.87/4.99 tff(10319,plain,
% 6.87/4.99 ((~(v100(constB80) <=> (~((~v101(constB80)) | (~v110(constB80)))))) | v100(constB80) | ((~v101(constB80)) | (~v110(constB80)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10320,plain,
% 6.87/4.99 (v100(constB80)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10319, 10318, 10240])).
% 6.87/4.99 tff(10321,plain,
% 6.87/4.99 (((~![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)))))),
% 6.87/4.99 inference(rewrite,[status(thm)],[])).
% 6.87/4.99 tff(10322,plain,
% 6.87/4.99 ((~![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)))))),
% 6.87/4.99 inference(quant_inst,[status(thm)],[])).
% 6.87/4.99 tff(10323,plain,
% 6.87/4.99 ((~![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))))),
% 6.87/4.99 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 6.87/4.99 tff(10324,plain,
% 6.87/4.99 ((~v100(constB80)) | (~(((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0))))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10323, 4151])).
% 6.87/4.99 tff(10325,plain,
% 6.87/4.99 (~(((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0)))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10324, 10320])).
% 6.87/4.99 tff(10326,plain,
% 6.87/4.99 ((((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0))) | (~((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10327,plain,
% 6.87/4.99 (~((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10326, 10325])).
% 6.87/4.99 tff(10328,plain,
% 6.87/4.99 (((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | v90(constB80, bitIndex2) | (~v129(constB80, bitIndex2))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10329,plain,
% 6.87/4.99 (v90(constB80, bitIndex2)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10328, 10327, 10236])).
% 6.87/4.99 tff(10330,plain,
% 6.87/4.99 (((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | v90(constB81, bitIndex2) | (~v90(constB80, bitIndex2))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10331,plain,
% 6.87/4.99 (v90(constB81, bitIndex2)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10330, 10329, 1322])).
% 6.87/4.99 tff(10332,plain,
% 6.87/4.99 ((((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))) | (~((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10333,plain,
% 6.87/4.99 (~((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10332, 1320])).
% 6.87/4.99 tff(10334,plain,
% 6.87/4.99 ((((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0))) | (~((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10335,plain,
% 6.87/4.99 (~((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10334, 1329])).
% 6.87/4.99 tff(10336,plain,
% 6.87/4.99 ((((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1))) | (~((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10337,plain,
% 6.87/4.99 (~((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10336, 1343])).
% 6.87/4.99 tff(10338,plain,
% 6.87/4.99 ((v130(constB79, bitIndex0) | v130(constB79, bitIndex1) | (~v130(constB79, bitIndex2))) | (~v130(constB79, bitIndex0))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10339,plain,
% 6.87/4.99 (~v130(constB79, bitIndex0)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10338, 10230])).
% 6.87/4.99 tff(10340,plain,
% 6.87/4.99 (((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)) | (~v127(constB79, bitIndex0)) | v130(constB79, bitIndex0)),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10341,plain,
% 6.87/4.99 (~v127(constB79, bitIndex0)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10340, 10339, 10337])).
% 6.87/4.99 tff(10342,plain,
% 6.87/4.99 (((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0)) | (~v129(constB80, bitIndex0)) | v127(constB79, bitIndex0)),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10343,plain,
% 6.87/4.99 (~v129(constB80, bitIndex0)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10342, 10341, 10335])).
% 6.87/4.99 tff(10344,plain,
% 6.87/4.99 ((((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0))) | (~((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10345,plain,
% 6.87/4.99 (~((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10344, 10325])).
% 6.87/4.99 tff(10346,plain,
% 6.87/4.99 (((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0)) | (~v90(constB80, bitIndex0)) | v129(constB80, bitIndex0)),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10347,plain,
% 6.87/4.99 (~v90(constB80, bitIndex0)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10346, 10345, 10343])).
% 6.87/4.99 tff(10348,plain,
% 6.87/4.99 (((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0)) | (~v90(constB81, bitIndex0)) | v90(constB80, bitIndex0)),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10349,plain,
% 6.87/4.99 (~v90(constB81, bitIndex0)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10348, 10347, 10333])).
% 6.87/4.99 tff(10350,plain,
% 6.87/4.99 ((((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | ((~v90(constB81, bitIndex2)) <=> v90(constB80, bitIndex2)) | ((~v90(constB81, bitIndex0)) <=> v90(constB80, bitIndex0))) | (~((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10351,plain,
% 6.87/4.99 (~((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10350, 1320])).
% 6.87/4.99 tff(10352,plain,
% 6.87/4.99 ((((~v129(constB80, bitIndex2)) <=> v127(constB79, bitIndex2)) | ((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | ((~v129(constB80, bitIndex0)) <=> v127(constB79, bitIndex0))) | (~((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10353,plain,
% 6.87/4.99 (~((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10352, 1329])).
% 6.87/4.99 tff(10354,plain,
% 6.87/4.99 ((((~v127(constB79, bitIndex2)) <=> v130(constB79, bitIndex2)) | ((~v127(constB79, bitIndex0)) <=> v130(constB79, bitIndex0)) | ((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1))) | (~((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10355,plain,
% 6.87/4.99 (~((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10354, 1343])).
% 6.87/4.99 tff(10356,plain,
% 6.87/4.99 ((v130(constB79, bitIndex0) | v130(constB79, bitIndex1) | (~v130(constB79, bitIndex2))) | (~v130(constB79, bitIndex1))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10357,plain,
% 6.87/4.99 (~v130(constB79, bitIndex1)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10356, 10230])).
% 6.87/4.99 tff(10358,plain,
% 6.87/4.99 (((~v127(constB79, bitIndex1)) <=> v130(constB79, bitIndex1)) | (~v127(constB79, bitIndex1)) | v130(constB79, bitIndex1)),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10359,plain,
% 6.87/4.99 (~v127(constB79, bitIndex1)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10358, 10357, 10355])).
% 6.87/4.99 tff(10360,plain,
% 6.87/4.99 (((~v129(constB80, bitIndex1)) <=> v127(constB79, bitIndex1)) | (~v129(constB80, bitIndex1)) | v127(constB79, bitIndex1)),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10361,plain,
% 6.87/4.99 (~v129(constB80, bitIndex1)),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10360, 10359, 10353])).
% 6.87/4.99 tff(10362,plain,
% 6.87/4.99 ((((~v90(constB80, bitIndex2)) <=> v129(constB80, bitIndex2)) | ((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | ((~v90(constB80, bitIndex0)) <=> v129(constB80, bitIndex0))) | (~((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)))),
% 6.87/4.99 inference(tautology,[status(thm)],[])).
% 6.87/4.99 tff(10363,plain,
% 6.87/4.99 (~((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1))),
% 6.87/4.99 inference(unit_resolution,[status(thm)],[10362, 10325])).
% 6.87/4.99 tff(10364,plain,
% 6.87/5.00 (((~v90(constB80, bitIndex1)) <=> v129(constB80, bitIndex1)) | (~v90(constB80, bitIndex1)) | v129(constB80, bitIndex1)),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10365,plain,
% 6.87/5.00 (~v90(constB80, bitIndex1)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10364, 10363, 10361])).
% 6.87/5.00 tff(10366,plain,
% 6.87/5.00 (((~v90(constB81, bitIndex1)) <=> v90(constB80, bitIndex1)) | (~v90(constB81, bitIndex1)) | v90(constB80, bitIndex1)),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10367,plain,
% 6.87/5.00 (~v90(constB81, bitIndex1)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10366, 10365, 10351])).
% 6.87/5.00 tff(10368,plain,
% 6.87/5.00 ((~(v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2)))) | v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10369,plain,
% 6.87/5.00 (~(v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2)))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10368, 10367, 10349, 10331])).
% 6.87/5.00 tff(10370,plain,
% 6.87/5.00 ((~(v123(constB81) <=> (~(v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2)))))) | v123(constB81) | (v90(constB81, bitIndex1) | v90(constB81, bitIndex0) | (~v90(constB81, bitIndex2)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10371,plain,
% 6.87/5.00 (v123(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10370, 10369, 1286])).
% 6.87/5.00 tff(10372,plain,
% 6.87/5.00 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB81)) | (~(v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)) | (~v130(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB81)) | (~(v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)) | (~v130(constB81, bitIndex0)))))),
% 6.87/5.00 inference(rewrite,[status(thm)],[])).
% 6.87/5.00 tff(10373,plain,
% 6.87/5.00 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB81)) | (~(v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)) | (~v130(constB81, bitIndex0)))))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10374,plain,
% 6.87/5.00 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB81)) | (~(v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)) | (~v130(constB81, bitIndex0))))),
% 6.87/5.00 inference(modus_ponens,[status(thm)],[10373, 10372])).
% 6.87/5.00 tff(10375,plain,
% 6.87/5.00 ((~v123(constB81)) | (~(v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)) | (~v130(constB81, bitIndex0))))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10374, 4722])).
% 6.87/5.00 tff(10376,plain,
% 6.87/5.00 (~(v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)) | (~v130(constB81, bitIndex0)))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10375, 10371])).
% 6.87/5.00 tff(10377,plain,
% 6.87/5.00 ((v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)) | (~v130(constB81, bitIndex0))) | v130(constB81, bitIndex2)),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10378,plain,
% 6.87/5.00 (v130(constB81, bitIndex2)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10377, 10376])).
% 6.87/5.00 tff(10379,plain,
% 6.87/5.00 (((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | v127(constB81, bitIndex2) | (~v130(constB81, bitIndex2))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10380,plain,
% 6.87/5.00 (v127(constB81, bitIndex2)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10379, 10378, 1279])).
% 6.87/5.00 tff(10381,plain,
% 6.87/5.00 (((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | v129(constB82, bitIndex2) | (~v127(constB81, bitIndex2))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10382,plain,
% 6.87/5.00 (v129(constB82, bitIndex2)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10381, 10380, 1265])).
% 6.87/5.00 tff(10383,plain,
% 6.87/5.00 (((~![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))))))),
% 6.87/5.00 inference(rewrite,[status(thm)],[])).
% 6.87/5.00 tff(10384,plain,
% 6.87/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10385,plain,
% 6.87/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB81, constB82)) | (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))),
% 6.87/5.00 inference(modus_ponens,[status(thm)],[10384, 10383])).
% 6.87/5.00 tff(10386,plain,
% 6.87/5.00 (v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82))))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10385, 1259, 433])).
% 6.87/5.00 tff(10387,plain,
% 6.87/5.00 (((~![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))))))),
% 6.87/5.00 inference(rewrite,[status(thm)],[])).
% 6.87/5.00 tff(10388,plain,
% 6.87/5.00 (((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82)))))) <=> ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))))),
% 6.87/5.00 inference(rewrite,[status(thm)],[])).
% 6.87/5.00 tff(10389,plain,
% 6.87/5.00 (((~![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)))))))),
% 6.87/5.00 inference(monotonicity,[status(thm)],[10388])).
% 6.87/5.00 tff(10390,plain,
% 6.87/5.00 (((~![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))))))),
% 6.87/5.00 inference(transitivity,[status(thm)],[10389, 10387])).
% 6.87/5.00 tff(10391,plain,
% 6.87/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v102(constB82)) | (~v1(constB82))))))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10392,plain,
% 6.87/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))),
% 6.87/5.00 inference(modus_ponens,[status(thm)],[10391, 10390])).
% 6.87/5.00 tff(10393,plain,
% 6.87/5.00 (v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82))))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10392, 1259, 453])).
% 6.87/5.00 tff(10394,plain,
% 6.87/5.00 (((~![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)))),
% 6.87/5.00 inference(rewrite,[status(thm)],[])).
% 6.87/5.00 tff(10395,plain,
% 6.87/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82)))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10396,plain,
% 6.87/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB81, constB82)) | ((~v102(constB82)) <=> v104(constB82))),
% 6.87/5.00 inference(modus_ponens,[status(thm)],[10395, 10394])).
% 6.87/5.00 tff(10397,plain,
% 6.87/5.00 ((~v102(constB82)) <=> v104(constB82)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10396, 1259, 3966])).
% 6.87/5.00 tff(10398,plain,
% 6.87/5.00 (((~![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)))),
% 6.87/5.00 inference(rewrite,[status(thm)],[])).
% 6.87/5.00 tff(10399,plain,
% 6.87/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81)))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10400,plain,
% 6.87/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v1(constB81))),
% 6.87/5.00 inference(modus_ponens,[status(thm)],[10399, 10398])).
% 6.87/5.00 tff(10401,plain,
% 6.87/5.00 (v104(constB82) <=> v1(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10400, 1259, 3980])).
% 6.87/5.00 tff(10402,plain,
% 6.87/5.00 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82)) | v1(constB81)),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10403,plain,
% 6.87/5.00 ((~(v104(constB82) <=> v1(constB81))) | (~v104(constB82))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10402, 1303])).
% 6.87/5.00 tff(10404,plain,
% 6.87/5.00 (~v104(constB82)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10403, 10401])).
% 6.87/5.00 tff(10405,plain,
% 6.87/5.00 ((~((~v102(constB82)) <=> v104(constB82))) | v102(constB82) | v104(constB82)),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10406,plain,
% 6.87/5.00 (v102(constB82)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10405, 10404, 10397])).
% 6.87/5.00 tff(10407,plain,
% 6.87/5.00 (v1(constB82) <=> v1(constB82)),
% 6.87/5.00 inference(rewrite,[status(thm)],[])).
% 6.87/5.00 tff(10408,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82')).
% 6.87/5.00 tff(10409,plain,
% 6.87/5.00 (v1(constB82)),
% 6.87/5.00 inference(modus_ponens,[status(thm)],[10408, 10407])).
% 6.87/5.00 tff(10410,plain,
% 6.87/5.00 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v1(constB82)) | (~v102(constB82))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10411,plain,
% 6.87/5.00 ((~((~v1(constB82)) | (~v102(constB82)))) | (~v102(constB82))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10410, 10409])).
% 6.87/5.00 tff(10412,plain,
% 6.87/5.00 (~((~v1(constB82)) | (~v102(constB82)))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10411, 10406])).
% 6.87/5.00 tff(10413,plain,
% 6.87/5.00 ((~(v101(constB82) <=> (~((~v1(constB82)) | (~v102(constB82)))))) | v101(constB82) | ((~v1(constB82)) | (~v102(constB82)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10414,plain,
% 6.87/5.00 (v101(constB82)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10413, 10412, 10393])).
% 6.87/5.00 tff(10415,plain,
% 6.87/5.00 (((~![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)))),
% 6.87/5.00 inference(rewrite,[status(thm)],[])).
% 6.87/5.00 tff(10416,plain,
% 6.87/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81)))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10417,plain,
% 6.87/5.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB81, constB82)) | (v110(constB82) <=> v108(constB81))),
% 6.87/5.00 inference(modus_ponens,[status(thm)],[10416, 10415])).
% 6.87/5.00 tff(10418,plain,
% 6.87/5.00 (v110(constB82) <=> v108(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10417, 1259, 4007])).
% 6.87/5.00 tff(10419,plain,
% 6.87/5.00 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB81) <=> (v111(constB81) | v112(constB81)))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10420,plain,
% 6.87/5.00 (v108(constB81) <=> (v111(constB81) | v112(constB81))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10419, 4018])).
% 6.87/5.00 tff(10421,plain,
% 6.87/5.00 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10422,plain,
% 6.87/5.00 (v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81))))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10421, 4030])).
% 6.87/5.00 tff(10423,plain,
% 6.87/5.00 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB81) <=> (v114(constB81) | v125(constB81)))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10424,plain,
% 6.87/5.00 (v113(constB81) <=> (v114(constB81) | v125(constB81))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10423, 4039])).
% 6.87/5.00 tff(10425,plain,
% 6.87/5.00 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB81) <=> (v115(constB81) | v124(constB81)))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10426,plain,
% 6.87/5.00 (v114(constB81) <=> (v115(constB81) | v124(constB81))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10425, 4048])).
% 6.87/5.00 tff(10427,plain,
% 6.87/5.00 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB81) <=> (v116(constB81) | v123(constB81)))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10428,plain,
% 6.87/5.00 (v115(constB81) <=> (v116(constB81) | v123(constB81))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10427, 4057])).
% 6.87/5.00 tff(10429,plain,
% 6.87/5.00 ((v116(constB81) | v123(constB81)) | (~v123(constB81))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10430,plain,
% 6.87/5.00 (v116(constB81) | v123(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10429, 10371])).
% 6.87/5.00 tff(10431,plain,
% 6.87/5.00 ((~(v115(constB81) <=> (v116(constB81) | v123(constB81)))) | v115(constB81) | (~(v116(constB81) | v123(constB81)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10432,plain,
% 6.87/5.00 (v115(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10431, 10430, 10428])).
% 6.87/5.00 tff(10433,plain,
% 6.87/5.00 ((v115(constB81) | v124(constB81)) | (~v115(constB81))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10434,plain,
% 6.87/5.00 (v115(constB81) | v124(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10433, 10432])).
% 6.87/5.00 tff(10435,plain,
% 6.87/5.00 ((~(v114(constB81) <=> (v115(constB81) | v124(constB81)))) | v114(constB81) | (~(v115(constB81) | v124(constB81)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10436,plain,
% 6.87/5.00 (v114(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10435, 10434, 10426])).
% 6.87/5.00 tff(10437,plain,
% 6.87/5.00 ((v114(constB81) | v125(constB81)) | (~v114(constB81))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10438,plain,
% 6.87/5.00 (v114(constB81) | v125(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10437, 10436])).
% 6.87/5.00 tff(10439,plain,
% 6.87/5.00 ((~(v113(constB81) <=> (v114(constB81) | v125(constB81)))) | v113(constB81) | (~(v114(constB81) | v125(constB81)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10440,plain,
% 6.87/5.00 (v113(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10439, 10438, 10424])).
% 6.87/5.00 tff(10441,plain,
% 6.87/5.00 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB81)) <=> v111(constB81))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10442,plain,
% 6.87/5.00 ((~v126(constB81)) <=> v111(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10441, 4118])).
% 6.87/5.00 tff(10443,plain,
% 6.87/5.00 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81) | v111(constB81)),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10444,plain,
% 6.87/5.00 ((~((~v126(constB81)) <=> v111(constB81))) | v126(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10443, 1272])).
% 6.87/5.00 tff(10445,plain,
% 6.87/5.00 (v126(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10444, 10442])).
% 6.87/5.00 tff(10446,plain,
% 6.87/5.00 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81)) | (~v126(constB81))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10447,plain,
% 6.87/5.00 ((~((~v113(constB81)) | (~v126(constB81)))) | (~v113(constB81))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10446, 10445])).
% 6.87/5.00 tff(10448,plain,
% 6.87/5.00 (~((~v113(constB81)) | (~v126(constB81)))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10447, 10440])).
% 6.87/5.00 tff(10449,plain,
% 6.87/5.00 ((~(v112(constB81) <=> (~((~v113(constB81)) | (~v126(constB81)))))) | v112(constB81) | ((~v113(constB81)) | (~v126(constB81)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10450,plain,
% 6.87/5.00 (v112(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10449, 10448, 10422])).
% 6.87/5.00 tff(10451,plain,
% 6.87/5.00 ((v111(constB81) | v112(constB81)) | (~v112(constB81))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10452,plain,
% 6.87/5.00 (v111(constB81) | v112(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10451, 10450])).
% 6.87/5.00 tff(10453,plain,
% 6.87/5.00 ((~(v108(constB81) <=> (v111(constB81) | v112(constB81)))) | v108(constB81) | (~(v111(constB81) | v112(constB81)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10454,plain,
% 6.87/5.00 (v108(constB81)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10453, 10452, 10420])).
% 6.87/5.00 tff(10455,plain,
% 6.87/5.00 ((~(v110(constB82) <=> v108(constB81))) | v110(constB82) | (~v108(constB81))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10456,plain,
% 6.87/5.00 (v110(constB82)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10455, 10454, 10418])).
% 6.87/5.00 tff(10457,plain,
% 6.87/5.00 ((~((~v101(constB82)) | (~v110(constB82)))) | (~v101(constB82)) | (~v110(constB82))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10458,plain,
% 6.87/5.00 (~((~v101(constB82)) | (~v110(constB82)))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10457, 10456, 10414])).
% 6.87/5.00 tff(10459,plain,
% 6.87/5.00 ((~(v100(constB82) <=> (~((~v101(constB82)) | (~v110(constB82)))))) | v100(constB82) | ((~v101(constB82)) | (~v110(constB82)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10460,plain,
% 6.87/5.00 (v100(constB82)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10459, 10458, 10386])).
% 6.87/5.00 tff(10461,plain,
% 6.87/5.00 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.87/5.00 inference(rewrite,[status(thm)],[])).
% 6.87/5.00 tff(10462,plain,
% 6.87/5.00 (((~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)))))),
% 6.87/5.00 inference(rewrite,[status(thm)],[])).
% 6.87/5.00 tff(10463,plain,
% 6.87/5.00 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 6.87/5.00 inference(monotonicity,[status(thm)],[10462])).
% 6.87/5.00 tff(10464,plain,
% 6.87/5.00 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.87/5.00 inference(transitivity,[status(thm)],[10463, 10461])).
% 6.87/5.00 tff(10465,plain,
% 6.87/5.00 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB82)) | (~(((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)) | ((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)))))),
% 6.87/5.00 inference(quant_inst,[status(thm)],[])).
% 6.87/5.00 tff(10466,plain,
% 6.87/5.00 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB82)) | (~(((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))))),
% 6.87/5.00 inference(modus_ponens,[status(thm)],[10465, 10464])).
% 6.87/5.00 tff(10467,plain,
% 6.87/5.00 ((~v100(constB82)) | (~(((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10466, 4151])).
% 6.87/5.00 tff(10468,plain,
% 6.87/5.00 (~(((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10467, 10460])).
% 6.87/5.00 tff(10469,plain,
% 6.87/5.00 ((((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))) | (~((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10470,plain,
% 6.87/5.00 (~((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10469, 10468])).
% 6.87/5.00 tff(10471,plain,
% 6.87/5.00 (((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10472,plain,
% 6.87/5.00 (v90(constB82, bitIndex2)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10471, 10470, 10382])).
% 6.87/5.00 tff(10473,plain,
% 6.87/5.00 (((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | v90(constB83, bitIndex2) | (~v90(constB82, bitIndex2))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10474,plain,
% 6.87/5.00 (v90(constB83, bitIndex2)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10473, 10472, 1256])).
% 6.87/5.00 tff(10475,plain,
% 6.87/5.00 ((((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))) | (~((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10476,plain,
% 6.87/5.00 (~((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10475, 1254])).
% 6.87/5.00 tff(10477,plain,
% 6.87/5.00 ((((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0))) | (~((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10478,plain,
% 6.87/5.00 (~((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10477, 1263])).
% 6.87/5.00 tff(10479,plain,
% 6.87/5.00 ((((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1))) | (~((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10480,plain,
% 6.87/5.00 (~((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10479, 1277])).
% 6.87/5.00 tff(10481,plain,
% 6.87/5.00 ((v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)) | (~v130(constB81, bitIndex0))) | v130(constB81, bitIndex0)),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10482,plain,
% 6.87/5.00 (v130(constB81, bitIndex0)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10481, 10376])).
% 6.87/5.00 tff(10483,plain,
% 6.87/5.00 (((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)) | v127(constB81, bitIndex0) | (~v130(constB81, bitIndex0))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10484,plain,
% 6.87/5.00 (v127(constB81, bitIndex0)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10483, 10482, 10480])).
% 6.87/5.00 tff(10485,plain,
% 6.87/5.00 (((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0)) | v129(constB82, bitIndex0) | (~v127(constB81, bitIndex0))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10486,plain,
% 6.87/5.00 (v129(constB82, bitIndex0)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10485, 10484, 10478])).
% 6.87/5.00 tff(10487,plain,
% 6.87/5.00 ((((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))) | (~((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10488,plain,
% 6.87/5.00 (~((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10487, 10468])).
% 6.87/5.00 tff(10489,plain,
% 6.87/5.00 (((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | v90(constB82, bitIndex0) | (~v129(constB82, bitIndex0))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10490,plain,
% 6.87/5.00 (v90(constB82, bitIndex0)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10489, 10488, 10486])).
% 6.87/5.00 tff(10491,plain,
% 6.87/5.00 (((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0)) | v90(constB83, bitIndex0) | (~v90(constB82, bitIndex0))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10492,plain,
% 6.87/5.00 (v90(constB83, bitIndex0)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10491, 10490, 10476])).
% 6.87/5.00 tff(10493,plain,
% 6.87/5.00 ((((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | ((~v90(constB83, bitIndex2)) <=> v90(constB82, bitIndex2)) | ((~v90(constB83, bitIndex0)) <=> v90(constB82, bitIndex0))) | (~((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10494,plain,
% 6.87/5.00 (~((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10493, 1254])).
% 6.87/5.00 tff(10495,plain,
% 6.87/5.00 ((((~v129(constB82, bitIndex2)) <=> v127(constB81, bitIndex2)) | ((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | ((~v129(constB82, bitIndex0)) <=> v127(constB81, bitIndex0))) | (~((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10496,plain,
% 6.87/5.00 (~((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10495, 1263])).
% 6.87/5.00 tff(10497,plain,
% 6.87/5.00 ((((~v127(constB81, bitIndex2)) <=> v130(constB81, bitIndex2)) | ((~v127(constB81, bitIndex0)) <=> v130(constB81, bitIndex0)) | ((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1))) | (~((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10498,plain,
% 6.87/5.00 (~((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10497, 1277])).
% 6.87/5.00 tff(10499,plain,
% 6.87/5.00 ((v130(constB81, bitIndex1) | (~v130(constB81, bitIndex2)) | (~v130(constB81, bitIndex0))) | (~v130(constB81, bitIndex1))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10500,plain,
% 6.87/5.00 (~v130(constB81, bitIndex1)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10499, 10376])).
% 6.87/5.00 tff(10501,plain,
% 6.87/5.00 (((~v127(constB81, bitIndex1)) <=> v130(constB81, bitIndex1)) | (~v127(constB81, bitIndex1)) | v130(constB81, bitIndex1)),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10502,plain,
% 6.87/5.00 (~v127(constB81, bitIndex1)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10501, 10500, 10498])).
% 6.87/5.00 tff(10503,plain,
% 6.87/5.00 (((~v129(constB82, bitIndex1)) <=> v127(constB81, bitIndex1)) | (~v129(constB82, bitIndex1)) | v127(constB81, bitIndex1)),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10504,plain,
% 6.87/5.00 (~v129(constB82, bitIndex1)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10503, 10502, 10496])).
% 6.87/5.00 tff(10505,plain,
% 6.87/5.00 ((((~v90(constB82, bitIndex0)) <=> v129(constB82, bitIndex0)) | ((~v90(constB82, bitIndex2)) <=> v129(constB82, bitIndex2)) | ((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))) | (~((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10506,plain,
% 6.87/5.00 (~((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10505, 10468])).
% 6.87/5.00 tff(10507,plain,
% 6.87/5.00 (((~v90(constB82, bitIndex1)) <=> v129(constB82, bitIndex1)) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1)),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10508,plain,
% 6.87/5.00 (~v90(constB82, bitIndex1)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10507, 10506, 10504])).
% 6.87/5.00 tff(10509,plain,
% 6.87/5.00 (((~v90(constB83, bitIndex1)) <=> v90(constB82, bitIndex1)) | (~v90(constB83, bitIndex1)) | v90(constB82, bitIndex1)),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10510,plain,
% 6.87/5.00 (~v90(constB83, bitIndex1)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10509, 10508, 10494])).
% 6.87/5.00 tff(10511,plain,
% 6.87/5.00 ((~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0)))) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10512,plain,
% 6.87/5.00 (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0)))),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10511, 10510, 10492, 10474])).
% 6.87/5.00 tff(10513,plain,
% 6.87/5.00 ((~(v124(constB83) <=> (~(v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0)))))) | v124(constB83) | (v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | (~v90(constB83, bitIndex0)))),
% 6.87/5.00 inference(tautology,[status(thm)],[])).
% 6.87/5.00 tff(10514,plain,
% 6.87/5.00 (v124(constB83)),
% 6.87/5.00 inference(unit_resolution,[status(thm)],[10513, 10512, 1220])).
% 6.87/5.00 tff(10515,plain,
% 6.87/5.00 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB83)) | (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB83)) | (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1)))))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10516,plain,
% 6.87/5.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB83)) | (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1)))))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10517,plain,
% 6.87/5.01 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB83)) | (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))))),
% 6.87/5.01 inference(modus_ponens,[status(thm)],[10516, 10515])).
% 6.87/5.01 tff(10518,plain,
% 6.87/5.01 ((~v124(constB83)) | (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10517, 4878])).
% 6.87/5.01 tff(10519,plain,
% 6.87/5.01 (~(v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1)))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10518, 10514])).
% 6.87/5.01 tff(10520,plain,
% 6.87/5.01 ((v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))) | v130(constB83, bitIndex2)),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10521,plain,
% 6.87/5.01 (v130(constB83, bitIndex2)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10520, 10519])).
% 6.87/5.01 tff(10522,plain,
% 6.87/5.01 (((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | v127(constB83, bitIndex2) | (~v130(constB83, bitIndex2))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10523,plain,
% 6.87/5.01 (v127(constB83, bitIndex2)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10522, 10521, 1213])).
% 6.87/5.01 tff(10524,plain,
% 6.87/5.01 (((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | v129(constB84, bitIndex2) | (~v127(constB83, bitIndex2))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10525,plain,
% 6.87/5.01 (v129(constB84, bitIndex2)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10524, 10523, 1199])).
% 6.87/5.01 tff(10526,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10527,plain,
% 6.87/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10528,plain,
% 6.87/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB83, constB84)) | (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))),
% 6.87/5.01 inference(modus_ponens,[status(thm)],[10527, 10526])).
% 6.87/5.01 tff(10529,plain,
% 6.87/5.01 (v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84))))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10528, 1193, 433])).
% 6.87/5.01 tff(10530,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10531,plain,
% 6.87/5.01 (((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84)))))) <=> ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10532,plain,
% 6.87/5.01 (((~![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)))))))),
% 6.87/5.01 inference(monotonicity,[status(thm)],[10531])).
% 6.87/5.01 tff(10533,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.01 inference(transitivity,[status(thm)],[10532, 10530])).
% 6.87/5.01 tff(10534,plain,
% 6.87/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v102(constB84)) | (~v1(constB84))))))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10535,plain,
% 6.87/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))),
% 6.87/5.01 inference(modus_ponens,[status(thm)],[10534, 10533])).
% 6.87/5.01 tff(10536,plain,
% 6.87/5.01 (v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84))))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10535, 1193, 453])).
% 6.87/5.01 tff(10537,plain,
% 6.87/5.01 (((~![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)))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10538,plain,
% 6.87/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84)))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10539,plain,
% 6.87/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB83, constB84)) | ((~v102(constB84)) <=> v104(constB84))),
% 6.87/5.01 inference(modus_ponens,[status(thm)],[10538, 10537])).
% 6.87/5.01 tff(10540,plain,
% 6.87/5.01 ((~v102(constB84)) <=> v104(constB84)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10539, 1193, 3966])).
% 6.87/5.01 tff(10541,plain,
% 6.87/5.01 (((~![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)))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10542,plain,
% 6.87/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83)))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10543,plain,
% 6.87/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v1(constB83))),
% 6.87/5.01 inference(modus_ponens,[status(thm)],[10542, 10541])).
% 6.87/5.01 tff(10544,plain,
% 6.87/5.01 (v104(constB84) <=> v1(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10543, 1193, 3980])).
% 6.87/5.01 tff(10545,plain,
% 6.87/5.01 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84)) | v1(constB83)),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10546,plain,
% 6.87/5.01 ((~(v104(constB84) <=> v1(constB83))) | (~v104(constB84))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10545, 1237])).
% 6.87/5.01 tff(10547,plain,
% 6.87/5.01 (~v104(constB84)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10546, 10544])).
% 6.87/5.01 tff(10548,plain,
% 6.87/5.01 ((~((~v102(constB84)) <=> v104(constB84))) | v102(constB84) | v104(constB84)),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10549,plain,
% 6.87/5.01 (v102(constB84)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10548, 10547, 10540])).
% 6.87/5.01 tff(10550,plain,
% 6.87/5.01 (v1(constB84) <=> v1(constB84)),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10551,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84')).
% 6.87/5.01 tff(10552,plain,
% 6.87/5.01 (v1(constB84)),
% 6.87/5.01 inference(modus_ponens,[status(thm)],[10551, 10550])).
% 6.87/5.01 tff(10553,plain,
% 6.87/5.01 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v1(constB84)) | (~v102(constB84))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10554,plain,
% 6.87/5.01 ((~((~v1(constB84)) | (~v102(constB84)))) | (~v102(constB84))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10553, 10552])).
% 6.87/5.01 tff(10555,plain,
% 6.87/5.01 (~((~v1(constB84)) | (~v102(constB84)))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10554, 10549])).
% 6.87/5.01 tff(10556,plain,
% 6.87/5.01 ((~(v101(constB84) <=> (~((~v1(constB84)) | (~v102(constB84)))))) | v101(constB84) | ((~v1(constB84)) | (~v102(constB84)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10557,plain,
% 6.87/5.01 (v101(constB84)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10556, 10555, 10536])).
% 6.87/5.01 tff(10558,plain,
% 6.87/5.01 (((~![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)))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10559,plain,
% 6.87/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83)))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10560,plain,
% 6.87/5.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB83, constB84)) | (v110(constB84) <=> v108(constB83))),
% 6.87/5.01 inference(modus_ponens,[status(thm)],[10559, 10558])).
% 6.87/5.01 tff(10561,plain,
% 6.87/5.01 (v110(constB84) <=> v108(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10560, 1193, 4007])).
% 6.87/5.01 tff(10562,plain,
% 6.87/5.01 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB83) <=> (v111(constB83) | v112(constB83)))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10563,plain,
% 6.87/5.01 (v108(constB83) <=> (v111(constB83) | v112(constB83))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10562, 4018])).
% 6.87/5.01 tff(10564,plain,
% 6.87/5.01 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10565,plain,
% 6.87/5.01 (v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83))))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10564, 4030])).
% 6.87/5.01 tff(10566,plain,
% 6.87/5.01 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB83) <=> (v114(constB83) | v125(constB83)))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10567,plain,
% 6.87/5.01 (v113(constB83) <=> (v114(constB83) | v125(constB83))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10566, 4039])).
% 6.87/5.01 tff(10568,plain,
% 6.87/5.01 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB83) <=> (v115(constB83) | v124(constB83)))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10569,plain,
% 6.87/5.01 (v114(constB83) <=> (v115(constB83) | v124(constB83))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10568, 4048])).
% 6.87/5.01 tff(10570,plain,
% 6.87/5.01 ((v115(constB83) | v124(constB83)) | (~v124(constB83))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10571,plain,
% 6.87/5.01 (v115(constB83) | v124(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10570, 10514])).
% 6.87/5.01 tff(10572,plain,
% 6.87/5.01 ((~(v114(constB83) <=> (v115(constB83) | v124(constB83)))) | v114(constB83) | (~(v115(constB83) | v124(constB83)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10573,plain,
% 6.87/5.01 (v114(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10572, 10571, 10569])).
% 6.87/5.01 tff(10574,plain,
% 6.87/5.01 ((v114(constB83) | v125(constB83)) | (~v114(constB83))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10575,plain,
% 6.87/5.01 (v114(constB83) | v125(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10574, 10573])).
% 6.87/5.01 tff(10576,plain,
% 6.87/5.01 ((~(v113(constB83) <=> (v114(constB83) | v125(constB83)))) | v113(constB83) | (~(v114(constB83) | v125(constB83)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10577,plain,
% 6.87/5.01 (v113(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10576, 10575, 10567])).
% 6.87/5.01 tff(10578,plain,
% 6.87/5.01 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB83)) <=> v111(constB83))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10579,plain,
% 6.87/5.01 ((~v126(constB83)) <=> v111(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10578, 4118])).
% 6.87/5.01 tff(10580,plain,
% 6.87/5.01 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83) | v111(constB83)),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10581,plain,
% 6.87/5.01 ((~((~v126(constB83)) <=> v111(constB83))) | v126(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10580, 1206])).
% 6.87/5.01 tff(10582,plain,
% 6.87/5.01 (v126(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10581, 10579])).
% 6.87/5.01 tff(10583,plain,
% 6.87/5.01 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83)) | (~v126(constB83))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10584,plain,
% 6.87/5.01 ((~((~v113(constB83)) | (~v126(constB83)))) | (~v113(constB83))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10583, 10582])).
% 6.87/5.01 tff(10585,plain,
% 6.87/5.01 (~((~v113(constB83)) | (~v126(constB83)))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10584, 10577])).
% 6.87/5.01 tff(10586,plain,
% 6.87/5.01 ((~(v112(constB83) <=> (~((~v113(constB83)) | (~v126(constB83)))))) | v112(constB83) | ((~v113(constB83)) | (~v126(constB83)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10587,plain,
% 6.87/5.01 (v112(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10586, 10585, 10565])).
% 6.87/5.01 tff(10588,plain,
% 6.87/5.01 ((v111(constB83) | v112(constB83)) | (~v112(constB83))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10589,plain,
% 6.87/5.01 (v111(constB83) | v112(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10588, 10587])).
% 6.87/5.01 tff(10590,plain,
% 6.87/5.01 ((~(v108(constB83) <=> (v111(constB83) | v112(constB83)))) | v108(constB83) | (~(v111(constB83) | v112(constB83)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10591,plain,
% 6.87/5.01 (v108(constB83)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10590, 10589, 10563])).
% 6.87/5.01 tff(10592,plain,
% 6.87/5.01 ((~(v110(constB84) <=> v108(constB83))) | v110(constB84) | (~v108(constB83))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10593,plain,
% 6.87/5.01 (v110(constB84)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10592, 10591, 10561])).
% 6.87/5.01 tff(10594,plain,
% 6.87/5.01 ((~((~v101(constB84)) | (~v110(constB84)))) | (~v101(constB84)) | (~v110(constB84))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10595,plain,
% 6.87/5.01 (~((~v101(constB84)) | (~v110(constB84)))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10594, 10593, 10557])).
% 6.87/5.01 tff(10596,plain,
% 6.87/5.01 ((~(v100(constB84) <=> (~((~v101(constB84)) | (~v110(constB84)))))) | v100(constB84) | ((~v101(constB84)) | (~v110(constB84)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10597,plain,
% 6.87/5.01 (v100(constB84)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10596, 10595, 10529])).
% 6.87/5.01 tff(10598,plain,
% 6.87/5.01 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10599,plain,
% 6.87/5.01 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB84)) | (~(((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0)))))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10600,plain,
% 6.87/5.01 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB84)) | (~(((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))))),
% 6.87/5.01 inference(modus_ponens,[status(thm)],[10599, 10598])).
% 6.87/5.01 tff(10601,plain,
% 6.87/5.01 ((~v100(constB84)) | (~(((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10600, 4151])).
% 6.87/5.01 tff(10602,plain,
% 6.87/5.01 (~(((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0)))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10601, 10597])).
% 6.87/5.01 tff(10603,plain,
% 6.87/5.01 ((((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))) | (~((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10604,plain,
% 6.87/5.01 (~((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10603, 10602])).
% 6.87/5.01 tff(10605,plain,
% 6.87/5.01 (((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10606,plain,
% 6.87/5.01 (v90(constB84, bitIndex2)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10605, 10604, 10525])).
% 6.87/5.01 tff(10607,plain,
% 6.87/5.01 (((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | v90(constB85, bitIndex2) | (~v90(constB84, bitIndex2))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10608,plain,
% 6.87/5.01 (v90(constB85, bitIndex2)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10607, 10606, 1190])).
% 6.87/5.01 tff(10609,plain,
% 6.87/5.01 ((v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex2))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10610,plain,
% 6.87/5.01 (v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10609, 10608])).
% 6.87/5.01 tff(10611,plain,
% 6.87/5.01 ((~(v119(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2))))) | (~v119(constB85)) | (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | v90(constB85, bitIndex2)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10612,plain,
% 6.87/5.01 (~v119(constB85)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10611, 10610, 1154])).
% 6.87/5.01 tff(10613,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10614,plain,
% 6.87/5.01 ((v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2))))) <=> (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0)))))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10615,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.01 inference(monotonicity,[status(thm)],[10614])).
% 6.87/5.01 tff(10616,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.01 inference(transitivity,[status(thm)],[10615, 10613])).
% 6.87/5.01 tff(10617,plain,
% 6.87/5.01 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex2)))))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10618,plain,
% 6.87/5.01 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0)))))),
% 6.87/5.01 inference(modus_ponens,[status(thm)],[10617, 10616])).
% 6.87/5.01 tff(10619,plain,
% 6.87/5.01 (v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0))))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10618, 801])).
% 6.87/5.01 tff(10620,plain,
% 6.87/5.01 ((((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))) | (~((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10621,plain,
% 6.87/5.01 (~((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10620, 1188])).
% 6.87/5.01 tff(10622,plain,
% 6.87/5.01 ((((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0))) | (~((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10623,plain,
% 6.87/5.01 (~((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10622, 1197])).
% 6.87/5.01 tff(10624,plain,
% 6.87/5.01 ((((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1))) | (~((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10625,plain,
% 6.87/5.01 (~((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10624, 1211])).
% 6.87/5.01 tff(10626,plain,
% 6.87/5.01 ((v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))) | v130(constB83, bitIndex1)),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10627,plain,
% 6.87/5.01 (v130(constB83, bitIndex1)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10626, 10519])).
% 6.87/5.01 tff(10628,plain,
% 6.87/5.01 (((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1)) | v127(constB83, bitIndex1) | (~v130(constB83, bitIndex1))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10629,plain,
% 6.87/5.01 (v127(constB83, bitIndex1)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10628, 10627, 10625])).
% 6.87/5.01 tff(10630,plain,
% 6.87/5.01 (((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | v129(constB84, bitIndex1) | (~v127(constB83, bitIndex1))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10631,plain,
% 6.87/5.01 (v129(constB84, bitIndex1)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10630, 10629, 10623])).
% 6.87/5.01 tff(10632,plain,
% 6.87/5.01 ((((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))) | (~((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10633,plain,
% 6.87/5.01 (~((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10632, 10602])).
% 6.87/5.01 tff(10634,plain,
% 6.87/5.01 (((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10635,plain,
% 6.87/5.01 (v90(constB84, bitIndex1)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10634, 10633, 10631])).
% 6.87/5.01 tff(10636,plain,
% 6.87/5.01 (((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | v90(constB85, bitIndex1) | (~v90(constB84, bitIndex1))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10637,plain,
% 6.87/5.01 (v90(constB85, bitIndex1)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10636, 10635, 10621])).
% 6.87/5.01 tff(10638,plain,
% 6.87/5.01 ((v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex1))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10639,plain,
% 6.87/5.01 (v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10638, 10637])).
% 6.87/5.01 tff(10640,plain,
% 6.87/5.01 ((~(v124(constB85) <=> (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0)))))) | (~v124(constB85)) | (~(v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)) | (~v90(constB85, bitIndex0))))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10641,plain,
% 6.87/5.01 (~v124(constB85)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10640, 10639, 10619])).
% 6.87/5.01 tff(10642,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10643,plain,
% 6.87/5.01 ((v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2))))) <=> (v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2)))))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10644,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.01 inference(monotonicity,[status(thm)],[10643])).
% 6.87/5.01 tff(10645,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.01 inference(transitivity,[status(thm)],[10644, 10642])).
% 6.87/5.01 tff(10646,plain,
% 6.87/5.01 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex1) | (~v90(constB85, bitIndex2)))))),
% 6.87/5.01 inference(quant_inst,[status(thm)],[])).
% 6.87/5.01 tff(10647,plain,
% 6.87/5.01 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2)))))),
% 6.87/5.01 inference(modus_ponens,[status(thm)],[10646, 10645])).
% 6.87/5.01 tff(10648,plain,
% 6.87/5.01 (v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2))))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10647, 880])).
% 6.87/5.01 tff(10649,plain,
% 6.87/5.01 ((v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2))) | (~v90(constB85, bitIndex1))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10650,plain,
% 6.87/5.01 (v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2))),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10649, 10637])).
% 6.87/5.01 tff(10651,plain,
% 6.87/5.01 ((~(v123(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2)))))) | (~v123(constB85)) | (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex2))))),
% 6.87/5.01 inference(tautology,[status(thm)],[])).
% 6.87/5.01 tff(10652,plain,
% 6.87/5.01 (~v123(constB85)),
% 6.87/5.01 inference(unit_resolution,[status(thm)],[10651, 10650, 10648])).
% 6.87/5.01 tff(10653,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10654,plain,
% 6.87/5.01 ((v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1))))) <=> (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))),
% 6.87/5.01 inference(rewrite,[status(thm)],[])).
% 6.87/5.01 tff(10655,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.01 inference(monotonicity,[status(thm)],[10654])).
% 6.87/5.01 tff(10656,plain,
% 6.87/5.01 (((~![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))))))),
% 6.87/5.02 inference(transitivity,[status(thm)],[10655, 10653])).
% 6.87/5.02 tff(10657,plain,
% 6.87/5.02 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)) | (~v90(constB85, bitIndex1)))))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10658,plain,
% 6.87/5.02 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))),
% 6.87/5.02 inference(modus_ponens,[status(thm)],[10657, 10656])).
% 6.87/5.02 tff(10659,plain,
% 6.87/5.02 (v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10658, 959])).
% 6.87/5.02 tff(10660,plain,
% 6.87/5.02 ((v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10661,plain,
% 6.87/5.02 (v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10660, 10608])).
% 6.87/5.02 tff(10662,plain,
% 6.87/5.02 ((~(v122(constB85) <=> (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0)))))) | (~v122(constB85)) | (~(v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex0))))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10663,plain,
% 6.87/5.02 (~v122(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10662, 10661, 10659])).
% 6.87/5.02 tff(10664,plain,
% 6.87/5.02 (((~![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))))))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10665,plain,
% 6.87/5.02 ((v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1))))) <=> (v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)))))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10666,plain,
% 6.87/5.02 (((~![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))))))),
% 6.87/5.02 inference(monotonicity,[status(thm)],[10665])).
% 6.87/5.02 tff(10667,plain,
% 6.87/5.02 (((~![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))))))),
% 6.87/5.02 inference(transitivity,[status(thm)],[10666, 10664])).
% 6.87/5.02 tff(10668,plain,
% 6.87/5.02 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex0) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex1)))))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10669,plain,
% 6.87/5.02 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)))))),
% 6.87/5.02 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 6.87/5.02 tff(10670,plain,
% 6.87/5.02 (v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1))))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10669, 574])).
% 6.87/5.02 tff(10671,plain,
% 6.87/5.02 ((v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1))) | (~v90(constB85, bitIndex2))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10672,plain,
% 6.87/5.02 (v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10671, 10608])).
% 6.87/5.02 tff(10673,plain,
% 6.87/5.02 ((~(v121(constB85) <=> (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)))))) | (~v121(constB85)) | (~(v90(constB85, bitIndex2) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1))))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10674,plain,
% 6.87/5.02 (~v121(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10673, 10672, 10670])).
% 6.87/5.02 tff(10675,plain,
% 6.87/5.02 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)))))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10676,plain,
% 6.87/5.02 (v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0))))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10675, 653])).
% 6.87/5.02 tff(10677,plain,
% 6.87/5.02 ((v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0))) | (~v90(constB85, bitIndex2))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10678,plain,
% 6.87/5.02 (v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10677, 10608])).
% 6.87/5.02 tff(10679,plain,
% 6.87/5.02 ((~(v120(constB85) <=> (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0)))))) | (~v120(constB85)) | (~(v90(constB85, bitIndex1) | v90(constB85, bitIndex2) | (~v90(constB85, bitIndex0))))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10680,plain,
% 6.87/5.02 (~v120(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10679, 10678, 10676])).
% 6.87/5.02 tff(10681,plain,
% 6.87/5.02 (((~![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)))))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10682,plain,
% 6.87/5.02 ((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)))))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10683,plain,
% 6.87/5.02 ((~(v130(constB85, bitIndex1) | v130(constB85, bitIndex2) | (~v130(constB85, bitIndex0)))) <=> (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10684,plain,
% 6.87/5.02 ((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)))))),
% 6.87/5.02 inference(monotonicity,[status(thm)],[10683])).
% 6.87/5.02 tff(10685,plain,
% 6.87/5.02 ((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)))))),
% 6.87/5.02 inference(transitivity,[status(thm)],[10684, 10682])).
% 6.87/5.02 tff(10686,plain,
% 6.87/5.02 (((~![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))))))),
% 6.87/5.02 inference(monotonicity,[status(thm)],[10685])).
% 6.87/5.02 tff(10687,plain,
% 6.87/5.02 (((~![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)))))),
% 6.87/5.02 inference(transitivity,[status(thm)],[10686, 10681])).
% 6.87/5.02 tff(10688,plain,
% 6.87/5.02 ((~![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)))))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10689,plain,
% 6.87/5.02 ((~![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))))),
% 6.87/5.02 inference(modus_ponens,[status(thm)],[10688, 10687])).
% 6.87/5.02 tff(10690,plain,
% 6.87/5.02 (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10689, 5057])).
% 6.87/5.02 tff(10691,plain,
% 6.87/5.02 (~(v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0)))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10690, 10680, 10674, 10663, 10652, 10641, 10612])).
% 6.87/5.02 tff(10692,plain,
% 6.87/5.02 ((v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))) | (~v130(constB85, bitIndex2))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10693,plain,
% 6.87/5.02 (~v130(constB85, bitIndex2)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10692, 10691])).
% 6.87/5.02 tff(10694,plain,
% 6.87/5.02 (((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | (~v127(constB85, bitIndex2)) | v130(constB85, bitIndex2)),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10695,plain,
% 6.87/5.02 (~v127(constB85, bitIndex2)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10694, 10693, 1152])).
% 6.87/5.02 tff(10696,plain,
% 6.87/5.02 (((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | (~v129(constB86, bitIndex2)) | v127(constB85, bitIndex2)),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10697,plain,
% 6.87/5.02 (~v129(constB86, bitIndex2)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10696, 10695, 1138])).
% 6.87/5.02 tff(10698,plain,
% 6.87/5.02 (((~![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))))))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10699,plain,
% 6.87/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10700,plain,
% 6.87/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB85, constB86)) | (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))),
% 6.87/5.02 inference(modus_ponens,[status(thm)],[10699, 10698])).
% 6.87/5.02 tff(10701,plain,
% 6.87/5.02 (v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86))))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10700, 1132, 433])).
% 6.87/5.02 tff(10702,plain,
% 6.87/5.02 (((~![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))))))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10703,plain,
% 6.87/5.02 (((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86)))))) <=> ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10704,plain,
% 6.87/5.02 (((~![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)))))))),
% 6.87/5.02 inference(monotonicity,[status(thm)],[10703])).
% 6.87/5.02 tff(10705,plain,
% 6.87/5.02 (((~![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))))))),
% 6.87/5.02 inference(transitivity,[status(thm)],[10704, 10702])).
% 6.87/5.02 tff(10706,plain,
% 6.87/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v102(constB86)) | (~v1(constB86))))))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10707,plain,
% 6.87/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))),
% 6.87/5.02 inference(modus_ponens,[status(thm)],[10706, 10705])).
% 6.87/5.02 tff(10708,plain,
% 6.87/5.02 (v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86))))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10707, 1132, 453])).
% 6.87/5.02 tff(10709,plain,
% 6.87/5.02 (((~![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)))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10710,plain,
% 6.87/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86)))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10711,plain,
% 6.87/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB85, constB86)) | ((~v102(constB86)) <=> v104(constB86))),
% 6.87/5.02 inference(modus_ponens,[status(thm)],[10710, 10709])).
% 6.87/5.02 tff(10712,plain,
% 6.87/5.02 ((~v102(constB86)) <=> v104(constB86)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10711, 1132, 3966])).
% 6.87/5.02 tff(10713,plain,
% 6.87/5.02 (((~![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)))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10714,plain,
% 6.87/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85)))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10715,plain,
% 6.87/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v1(constB85))),
% 6.87/5.02 inference(modus_ponens,[status(thm)],[10714, 10713])).
% 6.87/5.02 tff(10716,plain,
% 6.87/5.02 (v104(constB86) <=> v1(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10715, 1132, 3980])).
% 6.87/5.02 tff(10717,plain,
% 6.87/5.02 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86)) | v1(constB85)),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10718,plain,
% 6.87/5.02 ((~(v104(constB86) <=> v1(constB85))) | (~v104(constB86))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10717, 1171])).
% 6.87/5.02 tff(10719,plain,
% 6.87/5.02 (~v104(constB86)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10718, 10716])).
% 6.87/5.02 tff(10720,plain,
% 6.87/5.02 ((~((~v102(constB86)) <=> v104(constB86))) | v102(constB86) | v104(constB86)),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10721,plain,
% 6.87/5.02 (v102(constB86)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10720, 10719, 10712])).
% 6.87/5.02 tff(10722,plain,
% 6.87/5.02 (v1(constB86) <=> v1(constB86)),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10723,axiom,(v1(constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_86')).
% 6.87/5.02 tff(10724,plain,
% 6.87/5.02 (v1(constB86)),
% 6.87/5.02 inference(modus_ponens,[status(thm)],[10723, 10722])).
% 6.87/5.02 tff(10725,plain,
% 6.87/5.02 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v1(constB86)) | (~v102(constB86))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10726,plain,
% 6.87/5.02 ((~((~v1(constB86)) | (~v102(constB86)))) | (~v102(constB86))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10725, 10724])).
% 6.87/5.02 tff(10727,plain,
% 6.87/5.02 (~((~v1(constB86)) | (~v102(constB86)))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10726, 10721])).
% 6.87/5.02 tff(10728,plain,
% 6.87/5.02 ((~(v101(constB86) <=> (~((~v1(constB86)) | (~v102(constB86)))))) | v101(constB86) | ((~v1(constB86)) | (~v102(constB86)))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10729,plain,
% 6.87/5.02 (v101(constB86)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10728, 10727, 10708])).
% 6.87/5.02 tff(10730,plain,
% 6.87/5.02 (((~![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)))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10731,plain,
% 6.87/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85)))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10732,plain,
% 6.87/5.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB85, constB86)) | (v110(constB86) <=> v108(constB85))),
% 6.87/5.02 inference(modus_ponens,[status(thm)],[10731, 10730])).
% 6.87/5.02 tff(10733,plain,
% 6.87/5.02 (v110(constB86) <=> v108(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10732, 1132, 4007])).
% 6.87/5.02 tff(10734,plain,
% 6.87/5.02 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB85) <=> (v111(constB85) | v112(constB85)))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10735,plain,
% 6.87/5.02 (v108(constB85) <=> (v111(constB85) | v112(constB85))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10734, 4018])).
% 6.87/5.02 tff(10736,plain,
% 6.87/5.02 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10737,plain,
% 6.87/5.02 (v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85))))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10736, 4030])).
% 6.87/5.02 tff(10738,plain,
% 6.87/5.02 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB85) <=> (v114(constB85) | v125(constB85)))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10739,plain,
% 6.87/5.02 (v113(constB85) <=> (v114(constB85) | v125(constB85))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10738, 4039])).
% 6.87/5.02 tff(10740,plain,
% 6.87/5.02 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10741,plain,
% 6.87/5.02 (v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2))))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10740, 5129])).
% 6.87/5.02 tff(10742,plain,
% 6.87/5.02 ((((~v90(constB85, bitIndex1)) <=> v90(constB84, bitIndex1)) | ((~v90(constB85, bitIndex2)) <=> v90(constB84, bitIndex2)) | ((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))) | (~((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10743,plain,
% 6.87/5.02 (~((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10742, 1188])).
% 6.87/5.02 tff(10744,plain,
% 6.87/5.02 ((((~v129(constB84, bitIndex2)) <=> v127(constB83, bitIndex2)) | ((~v129(constB84, bitIndex1)) <=> v127(constB83, bitIndex1)) | ((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0))) | (~((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0)))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10745,plain,
% 6.87/5.02 (~((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10744, 1197])).
% 6.87/5.02 tff(10746,plain,
% 6.87/5.02 ((((~v127(constB83, bitIndex2)) <=> v130(constB83, bitIndex2)) | ((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)) | ((~v127(constB83, bitIndex1)) <=> v130(constB83, bitIndex1))) | (~((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10747,plain,
% 6.87/5.02 (~((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10746, 1211])).
% 6.87/5.02 tff(10748,plain,
% 6.87/5.02 ((v130(constB83, bitIndex0) | (~v130(constB83, bitIndex2)) | (~v130(constB83, bitIndex1))) | (~v130(constB83, bitIndex0))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10749,plain,
% 6.87/5.02 (~v130(constB83, bitIndex0)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10748, 10519])).
% 6.87/5.02 tff(10750,plain,
% 6.87/5.02 (((~v127(constB83, bitIndex0)) <=> v130(constB83, bitIndex0)) | (~v127(constB83, bitIndex0)) | v130(constB83, bitIndex0)),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10751,plain,
% 6.87/5.02 (~v127(constB83, bitIndex0)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10750, 10749, 10747])).
% 6.87/5.02 tff(10752,plain,
% 6.87/5.02 (((~v129(constB84, bitIndex0)) <=> v127(constB83, bitIndex0)) | (~v129(constB84, bitIndex0)) | v127(constB83, bitIndex0)),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10753,plain,
% 6.87/5.02 (~v129(constB84, bitIndex0)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10752, 10751, 10745])).
% 6.87/5.02 tff(10754,plain,
% 6.87/5.02 ((((~v90(constB84, bitIndex2)) <=> v129(constB84, bitIndex2)) | ((~v90(constB84, bitIndex1)) <=> v129(constB84, bitIndex1)) | ((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))) | (~((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0)))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10755,plain,
% 6.87/5.02 (~((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10754, 10602])).
% 6.87/5.02 tff(10756,plain,
% 6.87/5.02 (((~v90(constB84, bitIndex0)) <=> v129(constB84, bitIndex0)) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0)),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10757,plain,
% 6.87/5.02 (~v90(constB84, bitIndex0)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10756, 10755, 10753])).
% 6.87/5.02 tff(10758,plain,
% 6.87/5.02 (((~v90(constB85, bitIndex0)) <=> v90(constB84, bitIndex0)) | (~v90(constB85, bitIndex0)) | v90(constB84, bitIndex0)),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10759,plain,
% 6.87/5.02 (~v90(constB85, bitIndex0)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10758, 10757, 10743])).
% 6.87/5.02 tff(10760,plain,
% 6.87/5.02 ((~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10761,plain,
% 6.87/5.02 (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10760, 10637, 10759, 10608])).
% 6.87/5.02 tff(10762,plain,
% 6.87/5.02 ((~(v125(constB85) <=> (~(v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))))) | v125(constB85) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10763,plain,
% 6.87/5.02 (v125(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10762, 10761, 10741])).
% 6.87/5.02 tff(10764,plain,
% 6.87/5.02 ((v114(constB85) | v125(constB85)) | (~v125(constB85))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10765,plain,
% 6.87/5.02 (v114(constB85) | v125(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10764, 10763])).
% 6.87/5.02 tff(10766,plain,
% 6.87/5.02 ((~(v113(constB85) <=> (v114(constB85) | v125(constB85)))) | v113(constB85) | (~(v114(constB85) | v125(constB85)))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10767,plain,
% 6.87/5.02 (v113(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10766, 10765, 10739])).
% 6.87/5.02 tff(10768,plain,
% 6.87/5.02 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB85)) <=> v111(constB85))),
% 6.87/5.02 inference(quant_inst,[status(thm)],[])).
% 6.87/5.02 tff(10769,plain,
% 6.87/5.02 ((~v126(constB85)) <=> v111(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10768, 4118])).
% 6.87/5.02 tff(10770,plain,
% 6.87/5.02 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85) | v111(constB85)),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10771,plain,
% 6.87/5.02 ((~((~v126(constB85)) <=> v111(constB85))) | v126(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10770, 1145])).
% 6.87/5.02 tff(10772,plain,
% 6.87/5.02 (v126(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10771, 10769])).
% 6.87/5.02 tff(10773,plain,
% 6.87/5.02 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85)) | (~v126(constB85))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10774,plain,
% 6.87/5.02 ((~((~v113(constB85)) | (~v126(constB85)))) | (~v113(constB85))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10773, 10772])).
% 6.87/5.02 tff(10775,plain,
% 6.87/5.02 (~((~v113(constB85)) | (~v126(constB85)))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10774, 10767])).
% 6.87/5.02 tff(10776,plain,
% 6.87/5.02 ((~(v112(constB85) <=> (~((~v113(constB85)) | (~v126(constB85)))))) | v112(constB85) | ((~v113(constB85)) | (~v126(constB85)))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10777,plain,
% 6.87/5.02 (v112(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10776, 10775, 10737])).
% 6.87/5.02 tff(10778,plain,
% 6.87/5.02 ((v111(constB85) | v112(constB85)) | (~v112(constB85))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10779,plain,
% 6.87/5.02 (v111(constB85) | v112(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10778, 10777])).
% 6.87/5.02 tff(10780,plain,
% 6.87/5.02 ((~(v108(constB85) <=> (v111(constB85) | v112(constB85)))) | v108(constB85) | (~(v111(constB85) | v112(constB85)))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10781,plain,
% 6.87/5.02 (v108(constB85)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10780, 10779, 10735])).
% 6.87/5.02 tff(10782,plain,
% 6.87/5.02 ((~(v110(constB86) <=> v108(constB85))) | v110(constB86) | (~v108(constB85))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10783,plain,
% 6.87/5.02 (v110(constB86)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10782, 10781, 10733])).
% 6.87/5.02 tff(10784,plain,
% 6.87/5.02 ((~((~v101(constB86)) | (~v110(constB86)))) | (~v101(constB86)) | (~v110(constB86))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10785,plain,
% 6.87/5.02 (~((~v101(constB86)) | (~v110(constB86)))),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10784, 10783, 10729])).
% 6.87/5.02 tff(10786,plain,
% 6.87/5.02 ((~(v100(constB86) <=> (~((~v101(constB86)) | (~v110(constB86)))))) | v100(constB86) | ((~v101(constB86)) | (~v110(constB86)))),
% 6.87/5.02 inference(tautology,[status(thm)],[])).
% 6.87/5.02 tff(10787,plain,
% 6.87/5.02 (v100(constB86)),
% 6.87/5.02 inference(unit_resolution,[status(thm)],[10786, 10785, 10701])).
% 6.87/5.02 tff(10788,plain,
% 6.87/5.02 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10789,plain,
% 6.87/5.02 (((~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)))))),
% 6.87/5.02 inference(rewrite,[status(thm)],[])).
% 6.87/5.02 tff(10790,plain,
% 6.87/5.02 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 6.87/5.03 inference(monotonicity,[status(thm)],[10789])).
% 6.87/5.03 tff(10791,plain,
% 6.87/5.03 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.87/5.03 inference(transitivity,[status(thm)],[10790, 10788])).
% 6.87/5.03 tff(10792,plain,
% 6.87/5.03 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB86)) | (~(((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)) | ((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)))))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10793,plain,
% 6.87/5.03 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB86)) | (~(((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))))),
% 6.87/5.03 inference(modus_ponens,[status(thm)],[10792, 10791])).
% 6.87/5.03 tff(10794,plain,
% 6.87/5.03 ((~v100(constB86)) | (~(((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10793, 4151])).
% 6.87/5.03 tff(10795,plain,
% 6.87/5.03 (~(((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10794, 10787])).
% 6.87/5.03 tff(10796,plain,
% 6.87/5.03 ((((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))) | (~((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10797,plain,
% 6.87/5.03 (~((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10796, 10795])).
% 6.87/5.03 tff(10798,plain,
% 6.87/5.03 (((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2)),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10799,plain,
% 6.87/5.03 (~v90(constB86, bitIndex2)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10798, 10797, 10697])).
% 6.87/5.03 tff(10800,plain,
% 6.87/5.03 (((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | (~v90(constB87, bitIndex2)) | v90(constB86, bitIndex2)),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10801,plain,
% 6.87/5.03 (~v90(constB87, bitIndex2)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10800, 10799, 1129])).
% 6.87/5.03 tff(10802,plain,
% 6.87/5.03 ((((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))) | (~((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10803,plain,
% 6.87/5.03 (~((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10802, 1127])).
% 6.87/5.03 tff(10804,plain,
% 6.87/5.03 ((((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0))) | (~((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10805,plain,
% 6.87/5.03 (~((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10804, 1136])).
% 6.87/5.03 tff(10806,plain,
% 6.87/5.03 ((((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1))) | (~((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10807,plain,
% 6.87/5.03 (~((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10806, 1150])).
% 6.87/5.03 tff(10808,plain,
% 6.87/5.03 ((v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))) | v130(constB85, bitIndex0)),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10809,plain,
% 6.87/5.03 (v130(constB85, bitIndex0)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10808, 10691])).
% 6.87/5.03 tff(10810,plain,
% 6.87/5.03 (((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)) | v127(constB85, bitIndex0) | (~v130(constB85, bitIndex0))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10811,plain,
% 6.87/5.03 (v127(constB85, bitIndex0)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10810, 10809, 10807])).
% 6.87/5.03 tff(10812,plain,
% 6.87/5.03 (((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0)) | v129(constB86, bitIndex0) | (~v127(constB85, bitIndex0))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10813,plain,
% 6.87/5.03 (v129(constB86, bitIndex0)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10812, 10811, 10805])).
% 6.87/5.03 tff(10814,plain,
% 6.87/5.03 ((((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))) | (~((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10815,plain,
% 6.87/5.03 (~((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10814, 10795])).
% 6.87/5.03 tff(10816,plain,
% 6.87/5.03 (((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10817,plain,
% 6.87/5.03 (v90(constB86, bitIndex0)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10816, 10815, 10813])).
% 6.87/5.03 tff(10818,plain,
% 6.87/5.03 (((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0)) | v90(constB87, bitIndex0) | (~v90(constB86, bitIndex0))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10819,plain,
% 6.87/5.03 (v90(constB87, bitIndex0)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10818, 10817, 10803])).
% 6.87/5.03 tff(10820,plain,
% 6.87/5.03 ((((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | ((~v90(constB87, bitIndex2)) <=> v90(constB86, bitIndex2)) | ((~v90(constB87, bitIndex0)) <=> v90(constB86, bitIndex0))) | (~((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10821,plain,
% 6.87/5.03 (~((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10820, 1127])).
% 6.87/5.03 tff(10822,plain,
% 6.87/5.03 ((((~v129(constB86, bitIndex2)) <=> v127(constB85, bitIndex2)) | ((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | ((~v129(constB86, bitIndex0)) <=> v127(constB85, bitIndex0))) | (~((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10823,plain,
% 6.87/5.03 (~((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10822, 1136])).
% 6.87/5.03 tff(10824,plain,
% 6.87/5.03 ((((~v127(constB85, bitIndex2)) <=> v130(constB85, bitIndex2)) | ((~v127(constB85, bitIndex0)) <=> v130(constB85, bitIndex0)) | ((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1))) | (~((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10825,plain,
% 6.87/5.03 (~((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10824, 1150])).
% 6.87/5.03 tff(10826,plain,
% 6.87/5.03 ((v130(constB85, bitIndex2) | v130(constB85, bitIndex1) | (~v130(constB85, bitIndex0))) | (~v130(constB85, bitIndex1))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10827,plain,
% 6.87/5.03 (~v130(constB85, bitIndex1)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10826, 10691])).
% 6.87/5.03 tff(10828,plain,
% 6.87/5.03 (((~v127(constB85, bitIndex1)) <=> v130(constB85, bitIndex1)) | (~v127(constB85, bitIndex1)) | v130(constB85, bitIndex1)),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10829,plain,
% 6.87/5.03 (~v127(constB85, bitIndex1)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10828, 10827, 10825])).
% 6.87/5.03 tff(10830,plain,
% 6.87/5.03 (((~v129(constB86, bitIndex1)) <=> v127(constB85, bitIndex1)) | (~v129(constB86, bitIndex1)) | v127(constB85, bitIndex1)),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10831,plain,
% 6.87/5.03 (~v129(constB86, bitIndex1)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10830, 10829, 10823])).
% 6.87/5.03 tff(10832,plain,
% 6.87/5.03 ((((~v90(constB86, bitIndex0)) <=> v129(constB86, bitIndex0)) | ((~v90(constB86, bitIndex2)) <=> v129(constB86, bitIndex2)) | ((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))) | (~((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10833,plain,
% 6.87/5.03 (~((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10832, 10795])).
% 6.87/5.03 tff(10834,plain,
% 6.87/5.03 (((~v90(constB86, bitIndex1)) <=> v129(constB86, bitIndex1)) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1)),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10835,plain,
% 6.87/5.03 (~v90(constB86, bitIndex1)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10834, 10833, 10831])).
% 6.87/5.03 tff(10836,plain,
% 6.87/5.03 (((~v90(constB87, bitIndex1)) <=> v90(constB86, bitIndex1)) | (~v90(constB87, bitIndex1)) | v90(constB86, bitIndex1)),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10837,plain,
% 6.87/5.03 (~v90(constB87, bitIndex1)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10836, 10835, 10821])).
% 6.87/5.03 tff(10838,plain,
% 6.87/5.03 ((~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10839,plain,
% 6.87/5.03 (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10838, 10837, 10819, 10801])).
% 6.87/5.03 tff(10840,plain,
% 6.87/5.03 ((~(v120(constB87) <=> (~(v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))))) | v120(constB87) | (v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | (~v90(constB87, bitIndex0)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10841,plain,
% 6.87/5.03 (v120(constB87)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10840, 10839, 1093])).
% 6.87/5.03 tff(10842,plain,
% 6.87/5.03 (((~![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)))))),
% 6.87/5.03 inference(rewrite,[status(thm)],[])).
% 6.87/5.03 tff(10843,plain,
% 6.87/5.03 (((~v120(constB87)) | (~(v130(constB87, bitIndex0) | v130(constB87, bitIndex2) | (~v130(constB87, bitIndex1))))) <=> ((~v120(constB87)) | (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1)))))),
% 6.87/5.03 inference(rewrite,[status(thm)],[])).
% 6.87/5.03 tff(10844,plain,
% 6.87/5.03 (((~![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))))))),
% 6.87/5.03 inference(monotonicity,[status(thm)],[10843])).
% 6.87/5.03 tff(10845,plain,
% 6.87/5.03 (((~![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)))))),
% 6.87/5.03 inference(transitivity,[status(thm)],[10844, 10842])).
% 6.87/5.03 tff(10846,plain,
% 6.87/5.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB87)) | (~(v130(constB87, bitIndex0) | v130(constB87, bitIndex2) | (~v130(constB87, bitIndex1)))))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10847,plain,
% 6.87/5.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB87)) | (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1))))),
% 6.87/5.03 inference(modus_ponens,[status(thm)],[10846, 10845])).
% 6.87/5.03 tff(10848,plain,
% 6.87/5.03 ((~v120(constB87)) | (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1))))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10847, 4218])).
% 6.87/5.03 tff(10849,plain,
% 6.87/5.03 (~(v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1)))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10848, 10841])).
% 6.87/5.03 tff(10850,plain,
% 6.87/5.03 ((v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1))) | (~v130(constB87, bitIndex2))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10851,plain,
% 6.87/5.03 (~v130(constB87, bitIndex2)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10850, 10849])).
% 6.87/5.03 tff(10852,plain,
% 6.87/5.03 (((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | (~v127(constB87, bitIndex2)) | v130(constB87, bitIndex2)),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10853,plain,
% 6.87/5.03 (~v127(constB87, bitIndex2)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10852, 10851, 1091])).
% 6.87/5.03 tff(10854,plain,
% 6.87/5.03 (((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | (~v129(constB88, bitIndex2)) | v127(constB87, bitIndex2)),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10855,plain,
% 6.87/5.03 (~v129(constB88, bitIndex2)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10854, 10853, 1077])).
% 6.87/5.03 tff(10856,plain,
% 6.87/5.03 (((~![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))))))),
% 6.87/5.03 inference(rewrite,[status(thm)],[])).
% 6.87/5.03 tff(10857,plain,
% 6.87/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10858,plain,
% 6.87/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB87, constB88)) | (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))),
% 6.87/5.03 inference(modus_ponens,[status(thm)],[10857, 10856])).
% 6.87/5.03 tff(10859,plain,
% 6.87/5.03 (v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88))))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10858, 1071, 433])).
% 6.87/5.03 tff(10860,plain,
% 6.87/5.03 (((~![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))))))),
% 6.87/5.03 inference(rewrite,[status(thm)],[])).
% 6.87/5.03 tff(10861,plain,
% 6.87/5.03 (((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88)))))) <=> ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))))),
% 6.87/5.03 inference(rewrite,[status(thm)],[])).
% 6.87/5.03 tff(10862,plain,
% 6.87/5.03 (((~![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)))))))),
% 6.87/5.03 inference(monotonicity,[status(thm)],[10861])).
% 6.87/5.03 tff(10863,plain,
% 6.87/5.03 (((~![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))))))),
% 6.87/5.03 inference(transitivity,[status(thm)],[10862, 10860])).
% 6.87/5.03 tff(10864,plain,
% 6.87/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v102(constB88)) | (~v1(constB88))))))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10865,plain,
% 6.87/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))),
% 6.87/5.03 inference(modus_ponens,[status(thm)],[10864, 10863])).
% 6.87/5.03 tff(10866,plain,
% 6.87/5.03 (v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88))))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10865, 1071, 453])).
% 6.87/5.03 tff(10867,plain,
% 6.87/5.03 (((~![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)))),
% 6.87/5.03 inference(rewrite,[status(thm)],[])).
% 6.87/5.03 tff(10868,plain,
% 6.87/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88)))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10869,plain,
% 6.87/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB87, constB88)) | ((~v102(constB88)) <=> v104(constB88))),
% 6.87/5.03 inference(modus_ponens,[status(thm)],[10868, 10867])).
% 6.87/5.03 tff(10870,plain,
% 6.87/5.03 ((~v102(constB88)) <=> v104(constB88)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10869, 1071, 3966])).
% 6.87/5.03 tff(10871,plain,
% 6.87/5.03 (((~![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)))),
% 6.87/5.03 inference(rewrite,[status(thm)],[])).
% 6.87/5.03 tff(10872,plain,
% 6.87/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87)))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10873,plain,
% 6.87/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v1(constB87))),
% 6.87/5.03 inference(modus_ponens,[status(thm)],[10872, 10871])).
% 6.87/5.03 tff(10874,plain,
% 6.87/5.03 (v104(constB88) <=> v1(constB87)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10873, 1071, 3980])).
% 6.87/5.03 tff(10875,plain,
% 6.87/5.03 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88)) | v1(constB87)),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10876,plain,
% 6.87/5.03 ((~(v104(constB88) <=> v1(constB87))) | (~v104(constB88))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10875, 1110])).
% 6.87/5.03 tff(10877,plain,
% 6.87/5.03 (~v104(constB88)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10876, 10874])).
% 6.87/5.03 tff(10878,plain,
% 6.87/5.03 ((~((~v102(constB88)) <=> v104(constB88))) | v102(constB88) | v104(constB88)),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10879,plain,
% 6.87/5.03 (v102(constB88)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10878, 10877, 10870])).
% 6.87/5.03 tff(10880,plain,
% 6.87/5.03 (v1(constB88) <=> v1(constB88)),
% 6.87/5.03 inference(rewrite,[status(thm)],[])).
% 6.87/5.03 tff(10881,axiom,(v1(constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_88')).
% 6.87/5.03 tff(10882,plain,
% 6.87/5.03 (v1(constB88)),
% 6.87/5.03 inference(modus_ponens,[status(thm)],[10881, 10880])).
% 6.87/5.03 tff(10883,plain,
% 6.87/5.03 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v1(constB88)) | (~v102(constB88))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10884,plain,
% 6.87/5.03 ((~((~v1(constB88)) | (~v102(constB88)))) | (~v102(constB88))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10883, 10882])).
% 6.87/5.03 tff(10885,plain,
% 6.87/5.03 (~((~v1(constB88)) | (~v102(constB88)))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10884, 10879])).
% 6.87/5.03 tff(10886,plain,
% 6.87/5.03 ((~(v101(constB88) <=> (~((~v1(constB88)) | (~v102(constB88)))))) | v101(constB88) | ((~v1(constB88)) | (~v102(constB88)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10887,plain,
% 6.87/5.03 (v101(constB88)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10886, 10885, 10866])).
% 6.87/5.03 tff(10888,plain,
% 6.87/5.03 (((~![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)))),
% 6.87/5.03 inference(rewrite,[status(thm)],[])).
% 6.87/5.03 tff(10889,plain,
% 6.87/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87)))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10890,plain,
% 6.87/5.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB87, constB88)) | (v110(constB88) <=> v108(constB87))),
% 6.87/5.03 inference(modus_ponens,[status(thm)],[10889, 10888])).
% 6.87/5.03 tff(10891,plain,
% 6.87/5.03 (v110(constB88) <=> v108(constB87)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10890, 1071, 4007])).
% 6.87/5.03 tff(10892,plain,
% 6.87/5.03 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB87) <=> (v111(constB87) | v112(constB87)))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10893,plain,
% 6.87/5.03 (v108(constB87) <=> (v111(constB87) | v112(constB87))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10892, 4018])).
% 6.87/5.03 tff(10894,plain,
% 6.87/5.03 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10895,plain,
% 6.87/5.03 (v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87))))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10894, 4030])).
% 6.87/5.03 tff(10896,plain,
% 6.87/5.03 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB87) <=> (v114(constB87) | v125(constB87)))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10897,plain,
% 6.87/5.03 (v113(constB87) <=> (v114(constB87) | v125(constB87))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10896, 4039])).
% 6.87/5.03 tff(10898,plain,
% 6.87/5.03 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB87) <=> (v115(constB87) | v124(constB87)))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10899,plain,
% 6.87/5.03 (v114(constB87) <=> (v115(constB87) | v124(constB87))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10898, 4048])).
% 6.87/5.03 tff(10900,plain,
% 6.87/5.03 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB87) <=> (v116(constB87) | v123(constB87)))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10901,plain,
% 6.87/5.03 (v115(constB87) <=> (v116(constB87) | v123(constB87))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10900, 4057])).
% 6.87/5.03 tff(10902,plain,
% 6.87/5.03 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB87) <=> (v117(constB87) | v122(constB87)))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10903,plain,
% 6.87/5.03 (v116(constB87) <=> (v117(constB87) | v122(constB87))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10902, 4066])).
% 6.87/5.03 tff(10904,plain,
% 6.87/5.03 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB87) <=> (v118(constB87) | v121(constB87)))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10905,plain,
% 6.87/5.03 (v117(constB87) <=> (v118(constB87) | v121(constB87))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10904, 4075])).
% 6.87/5.03 tff(10906,plain,
% 6.87/5.03 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB87) <=> (v119(constB87) | v120(constB87)))),
% 6.87/5.03 inference(quant_inst,[status(thm)],[])).
% 6.87/5.03 tff(10907,plain,
% 6.87/5.03 (v118(constB87) <=> (v119(constB87) | v120(constB87))),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10906, 4084])).
% 6.87/5.03 tff(10908,plain,
% 6.87/5.03 ((v119(constB87) | v120(constB87)) | (~v120(constB87))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10909,plain,
% 6.87/5.03 (v119(constB87) | v120(constB87)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10908, 10841])).
% 6.87/5.03 tff(10910,plain,
% 6.87/5.03 ((~(v118(constB87) <=> (v119(constB87) | v120(constB87)))) | v118(constB87) | (~(v119(constB87) | v120(constB87)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10911,plain,
% 6.87/5.03 (v118(constB87)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10910, 10909, 10907])).
% 6.87/5.03 tff(10912,plain,
% 6.87/5.03 ((v118(constB87) | v121(constB87)) | (~v118(constB87))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10913,plain,
% 6.87/5.03 (v118(constB87) | v121(constB87)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10912, 10911])).
% 6.87/5.03 tff(10914,plain,
% 6.87/5.03 ((~(v117(constB87) <=> (v118(constB87) | v121(constB87)))) | v117(constB87) | (~(v118(constB87) | v121(constB87)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10915,plain,
% 6.87/5.03 (v117(constB87)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10914, 10913, 10905])).
% 6.87/5.03 tff(10916,plain,
% 6.87/5.03 ((v117(constB87) | v122(constB87)) | (~v117(constB87))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10917,plain,
% 6.87/5.03 (v117(constB87) | v122(constB87)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10916, 10915])).
% 6.87/5.03 tff(10918,plain,
% 6.87/5.03 ((~(v116(constB87) <=> (v117(constB87) | v122(constB87)))) | v116(constB87) | (~(v117(constB87) | v122(constB87)))),
% 6.87/5.03 inference(tautology,[status(thm)],[])).
% 6.87/5.03 tff(10919,plain,
% 6.87/5.03 (v116(constB87)),
% 6.87/5.03 inference(unit_resolution,[status(thm)],[10918, 10917, 10903])).
% 6.92/5.03 tff(10920,plain,
% 6.92/5.03 ((v116(constB87) | v123(constB87)) | (~v116(constB87))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10921,plain,
% 6.92/5.03 (v116(constB87) | v123(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10920, 10919])).
% 6.92/5.03 tff(10922,plain,
% 6.92/5.03 ((~(v115(constB87) <=> (v116(constB87) | v123(constB87)))) | v115(constB87) | (~(v116(constB87) | v123(constB87)))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10923,plain,
% 6.92/5.03 (v115(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10922, 10921, 10901])).
% 6.92/5.03 tff(10924,plain,
% 6.92/5.03 ((v115(constB87) | v124(constB87)) | (~v115(constB87))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10925,plain,
% 6.92/5.03 (v115(constB87) | v124(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10924, 10923])).
% 6.92/5.03 tff(10926,plain,
% 6.92/5.03 ((~(v114(constB87) <=> (v115(constB87) | v124(constB87)))) | v114(constB87) | (~(v115(constB87) | v124(constB87)))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10927,plain,
% 6.92/5.03 (v114(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10926, 10925, 10899])).
% 6.92/5.03 tff(10928,plain,
% 6.92/5.03 ((v114(constB87) | v125(constB87)) | (~v114(constB87))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10929,plain,
% 6.92/5.03 (v114(constB87) | v125(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10928, 10927])).
% 6.92/5.03 tff(10930,plain,
% 6.92/5.03 ((~(v113(constB87) <=> (v114(constB87) | v125(constB87)))) | v113(constB87) | (~(v114(constB87) | v125(constB87)))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10931,plain,
% 6.92/5.03 (v113(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10930, 10929, 10897])).
% 6.92/5.03 tff(10932,plain,
% 6.92/5.03 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB87)) <=> v111(constB87))),
% 6.92/5.03 inference(quant_inst,[status(thm)],[])).
% 6.92/5.03 tff(10933,plain,
% 6.92/5.03 ((~v126(constB87)) <=> v111(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10932, 4118])).
% 6.92/5.03 tff(10934,plain,
% 6.92/5.03 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87) | v111(constB87)),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10935,plain,
% 6.92/5.03 ((~((~v126(constB87)) <=> v111(constB87))) | v126(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10934, 1084])).
% 6.92/5.03 tff(10936,plain,
% 6.92/5.03 (v126(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10935, 10933])).
% 6.92/5.03 tff(10937,plain,
% 6.92/5.03 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87)) | (~v126(constB87))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10938,plain,
% 6.92/5.03 ((~((~v113(constB87)) | (~v126(constB87)))) | (~v113(constB87))),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10937, 10936])).
% 6.92/5.03 tff(10939,plain,
% 6.92/5.03 (~((~v113(constB87)) | (~v126(constB87)))),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10938, 10931])).
% 6.92/5.03 tff(10940,plain,
% 6.92/5.03 ((~(v112(constB87) <=> (~((~v113(constB87)) | (~v126(constB87)))))) | v112(constB87) | ((~v113(constB87)) | (~v126(constB87)))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10941,plain,
% 6.92/5.03 (v112(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10940, 10939, 10895])).
% 6.92/5.03 tff(10942,plain,
% 6.92/5.03 ((v111(constB87) | v112(constB87)) | (~v112(constB87))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10943,plain,
% 6.92/5.03 (v111(constB87) | v112(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10942, 10941])).
% 6.92/5.03 tff(10944,plain,
% 6.92/5.03 ((~(v108(constB87) <=> (v111(constB87) | v112(constB87)))) | v108(constB87) | (~(v111(constB87) | v112(constB87)))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10945,plain,
% 6.92/5.03 (v108(constB87)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10944, 10943, 10893])).
% 6.92/5.03 tff(10946,plain,
% 6.92/5.03 ((~(v110(constB88) <=> v108(constB87))) | v110(constB88) | (~v108(constB87))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10947,plain,
% 6.92/5.03 (v110(constB88)),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10946, 10945, 10891])).
% 6.92/5.03 tff(10948,plain,
% 6.92/5.03 ((~((~v101(constB88)) | (~v110(constB88)))) | (~v101(constB88)) | (~v110(constB88))),
% 6.92/5.03 inference(tautology,[status(thm)],[])).
% 6.92/5.03 tff(10949,plain,
% 6.92/5.03 (~((~v101(constB88)) | (~v110(constB88)))),
% 6.92/5.03 inference(unit_resolution,[status(thm)],[10948, 10947, 10887])).
% 6.92/5.04 tff(10950,plain,
% 6.92/5.04 ((~(v100(constB88) <=> (~((~v101(constB88)) | (~v110(constB88)))))) | v100(constB88) | ((~v101(constB88)) | (~v110(constB88)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10951,plain,
% 6.92/5.04 (v100(constB88)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10950, 10949, 10859])).
% 6.92/5.04 tff(10952,plain,
% 6.92/5.04 (((~![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)))))),
% 6.92/5.04 inference(rewrite,[status(thm)],[])).
% 6.92/5.04 tff(10953,plain,
% 6.92/5.04 ((~![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)))))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(10954,plain,
% 6.92/5.04 ((~![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))))),
% 6.92/5.04 inference(modus_ponens,[status(thm)],[10953, 10952])).
% 6.92/5.04 tff(10955,plain,
% 6.92/5.04 ((~v100(constB88)) | (~(((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0))))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10954, 4151])).
% 6.92/5.04 tff(10956,plain,
% 6.92/5.04 (~(((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0)))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10955, 10951])).
% 6.92/5.04 tff(10957,plain,
% 6.92/5.04 ((((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0))) | (~((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10958,plain,
% 6.92/5.04 (~((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10957, 10956])).
% 6.92/5.04 tff(10959,plain,
% 6.92/5.04 (((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10960,plain,
% 6.92/5.04 (~v90(constB88, bitIndex2)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10959, 10958, 10855])).
% 6.92/5.04 tff(10961,plain,
% 6.92/5.04 (((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | (~v90(constB89, bitIndex2)) | v90(constB88, bitIndex2)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10962,plain,
% 6.92/5.04 (~v90(constB89, bitIndex2)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10961, 10960, 1068])).
% 6.92/5.04 tff(10963,plain,
% 6.92/5.04 ((((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))) | (~((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10964,plain,
% 6.92/5.04 (~((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10963, 1066])).
% 6.92/5.04 tff(10965,plain,
% 6.92/5.04 ((((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0))) | (~((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10966,plain,
% 6.92/5.04 (~((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10965, 1075])).
% 6.92/5.04 tff(10967,plain,
% 6.92/5.04 ((((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1))) | (~((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10968,plain,
% 6.92/5.04 (~((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10967, 1089])).
% 6.92/5.04 tff(10969,plain,
% 6.92/5.04 ((v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1))) | (~v130(constB87, bitIndex0))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10970,plain,
% 6.92/5.04 (~v130(constB87, bitIndex0)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10969, 10849])).
% 6.92/5.04 tff(10971,plain,
% 6.92/5.04 (((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)) | (~v127(constB87, bitIndex0)) | v130(constB87, bitIndex0)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10972,plain,
% 6.92/5.04 (~v127(constB87, bitIndex0)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10971, 10970, 10968])).
% 6.92/5.04 tff(10973,plain,
% 6.92/5.04 (((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0)) | (~v129(constB88, bitIndex0)) | v127(constB87, bitIndex0)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10974,plain,
% 6.92/5.04 (~v129(constB88, bitIndex0)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10973, 10972, 10966])).
% 6.92/5.04 tff(10975,plain,
% 6.92/5.04 ((((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0))) | (~((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10976,plain,
% 6.92/5.04 (~((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10975, 10956])).
% 6.92/5.04 tff(10977,plain,
% 6.92/5.04 (((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0)) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10978,plain,
% 6.92/5.04 (~v90(constB88, bitIndex0)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10977, 10976, 10974])).
% 6.92/5.04 tff(10979,plain,
% 6.92/5.04 (((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0)) | (~v90(constB89, bitIndex0)) | v90(constB88, bitIndex0)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10980,plain,
% 6.92/5.04 (~v90(constB89, bitIndex0)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10979, 10978, 10964])).
% 6.92/5.04 tff(10981,plain,
% 6.92/5.04 ((((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | ((~v90(constB89, bitIndex2)) <=> v90(constB88, bitIndex2)) | ((~v90(constB89, bitIndex0)) <=> v90(constB88, bitIndex0))) | (~((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10982,plain,
% 6.92/5.04 (~((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10981, 1066])).
% 6.92/5.04 tff(10983,plain,
% 6.92/5.04 ((((~v129(constB88, bitIndex2)) <=> v127(constB87, bitIndex2)) | ((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | ((~v129(constB88, bitIndex0)) <=> v127(constB87, bitIndex0))) | (~((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10984,plain,
% 6.92/5.04 (~((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10983, 1075])).
% 6.92/5.04 tff(10985,plain,
% 6.92/5.04 ((((~v127(constB87, bitIndex2)) <=> v130(constB87, bitIndex2)) | ((~v127(constB87, bitIndex0)) <=> v130(constB87, bitIndex0)) | ((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1))) | (~((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10986,plain,
% 6.92/5.04 (~((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10985, 1089])).
% 6.92/5.04 tff(10987,plain,
% 6.92/5.04 ((v130(constB87, bitIndex2) | v130(constB87, bitIndex0) | (~v130(constB87, bitIndex1))) | v130(constB87, bitIndex1)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10988,plain,
% 6.92/5.04 (v130(constB87, bitIndex1)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10987, 10849])).
% 6.92/5.04 tff(10989,plain,
% 6.92/5.04 (((~v127(constB87, bitIndex1)) <=> v130(constB87, bitIndex1)) | v127(constB87, bitIndex1) | (~v130(constB87, bitIndex1))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10990,plain,
% 6.92/5.04 (v127(constB87, bitIndex1)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10989, 10988, 10986])).
% 6.92/5.04 tff(10991,plain,
% 6.92/5.04 (((~v129(constB88, bitIndex1)) <=> v127(constB87, bitIndex1)) | v129(constB88, bitIndex1) | (~v127(constB87, bitIndex1))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10992,plain,
% 6.92/5.04 (v129(constB88, bitIndex1)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10991, 10990, 10984])).
% 6.92/5.04 tff(10993,plain,
% 6.92/5.04 ((((~v90(constB88, bitIndex2)) <=> v129(constB88, bitIndex2)) | ((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | ((~v90(constB88, bitIndex0)) <=> v129(constB88, bitIndex0))) | (~((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10994,plain,
% 6.92/5.04 (~((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10993, 10956])).
% 6.92/5.04 tff(10995,plain,
% 6.92/5.04 (((~v90(constB88, bitIndex1)) <=> v129(constB88, bitIndex1)) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10996,plain,
% 6.92/5.04 (v90(constB88, bitIndex1)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10995, 10994, 10992])).
% 6.92/5.04 tff(10997,plain,
% 6.92/5.04 (((~v90(constB89, bitIndex1)) <=> v90(constB88, bitIndex1)) | v90(constB89, bitIndex1) | (~v90(constB88, bitIndex1))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(10998,plain,
% 6.92/5.04 (v90(constB89, bitIndex1)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10997, 10996, 10982])).
% 6.92/5.04 tff(10999,plain,
% 6.92/5.04 ((~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))) | v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11000,plain,
% 6.92/5.04 (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[10999, 10998, 10980, 10962])).
% 6.92/5.04 tff(11001,plain,
% 6.92/5.04 ((~(v121(constB89) <=> (~(v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))))) | v121(constB89) | (v90(constB89, bitIndex2) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11002,plain,
% 6.92/5.04 (v121(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11001, 11000, 1032])).
% 6.92/5.04 tff(11003,plain,
% 6.92/5.04 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex0)) | (~v130(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex0)) | (~v130(constB89, bitIndex1)))))),
% 6.92/5.04 inference(rewrite,[status(thm)],[])).
% 6.92/5.04 tff(11004,plain,
% 6.92/5.04 (((~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex1)) | (~v130(constB89, bitIndex0))))) <=> ((~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex0)) | (~v130(constB89, bitIndex1)))))),
% 6.92/5.04 inference(rewrite,[status(thm)],[])).
% 6.92/5.04 tff(11005,plain,
% 6.92/5.04 (((~![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, bitIndex0)) | (~v130(constB89, bitIndex1))))))),
% 6.92/5.04 inference(monotonicity,[status(thm)],[11004])).
% 6.92/5.04 tff(11006,plain,
% 6.92/5.04 (((~![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, bitIndex0)) | (~v130(constB89, bitIndex1)))))),
% 6.92/5.04 inference(transitivity,[status(thm)],[11005, 11003])).
% 6.92/5.04 tff(11007,plain,
% 6.92/5.04 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex1)) | (~v130(constB89, bitIndex0)))))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11008,plain,
% 6.92/5.04 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex0)) | (~v130(constB89, bitIndex1))))),
% 6.92/5.04 inference(modus_ponens,[status(thm)],[11007, 11006])).
% 6.92/5.04 tff(11009,plain,
% 6.92/5.04 ((~v121(constB89)) | (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex0)) | (~v130(constB89, bitIndex1))))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11008, 4392])).
% 6.92/5.04 tff(11010,plain,
% 6.92/5.04 (~(v130(constB89, bitIndex2) | (~v130(constB89, bitIndex0)) | (~v130(constB89, bitIndex1)))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11009, 11002])).
% 6.92/5.04 tff(11011,plain,
% 6.92/5.04 ((v130(constB89, bitIndex2) | (~v130(constB89, bitIndex0)) | (~v130(constB89, bitIndex1))) | (~v130(constB89, bitIndex2))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11012,plain,
% 6.92/5.04 (~v130(constB89, bitIndex2)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11011, 11010])).
% 6.92/5.04 tff(11013,plain,
% 6.92/5.04 (((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | (~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11014,plain,
% 6.92/5.04 (~v127(constB89, bitIndex2)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11013, 11012, 1025])).
% 6.92/5.04 tff(11015,plain,
% 6.92/5.04 (((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | (~v129(constB90, bitIndex2)) | v127(constB89, bitIndex2)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11016,plain,
% 6.92/5.04 (~v129(constB90, bitIndex2)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11015, 11014, 1011])).
% 6.92/5.04 tff(11017,plain,
% 6.92/5.04 (((~![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))))))),
% 6.92/5.04 inference(rewrite,[status(thm)],[])).
% 6.92/5.04 tff(11018,plain,
% 6.92/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11019,plain,
% 6.92/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB89, constB90)) | (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))),
% 6.92/5.04 inference(modus_ponens,[status(thm)],[11018, 11017])).
% 6.92/5.04 tff(11020,plain,
% 6.92/5.04 (v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90))))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11019, 1005, 433])).
% 6.92/5.04 tff(11021,plain,
% 6.92/5.04 (((~![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))))))),
% 6.92/5.04 inference(rewrite,[status(thm)],[])).
% 6.92/5.04 tff(11022,plain,
% 6.92/5.04 (((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90)))))) <=> ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))))),
% 6.92/5.04 inference(rewrite,[status(thm)],[])).
% 6.92/5.04 tff(11023,plain,
% 6.92/5.04 (((~![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)))))))),
% 6.92/5.04 inference(monotonicity,[status(thm)],[11022])).
% 6.92/5.04 tff(11024,plain,
% 6.92/5.04 (((~![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))))))),
% 6.92/5.04 inference(transitivity,[status(thm)],[11023, 11021])).
% 6.92/5.04 tff(11025,plain,
% 6.92/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v102(constB90)) | (~v1(constB90))))))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11026,plain,
% 6.92/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))),
% 6.92/5.04 inference(modus_ponens,[status(thm)],[11025, 11024])).
% 6.92/5.04 tff(11027,plain,
% 6.92/5.04 (v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90))))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11026, 1005, 453])).
% 6.92/5.04 tff(11028,plain,
% 6.92/5.04 (((~![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)))),
% 6.92/5.04 inference(rewrite,[status(thm)],[])).
% 6.92/5.04 tff(11029,plain,
% 6.92/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90)))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11030,plain,
% 6.92/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB89, constB90)) | ((~v102(constB90)) <=> v104(constB90))),
% 6.92/5.04 inference(modus_ponens,[status(thm)],[11029, 11028])).
% 6.92/5.04 tff(11031,plain,
% 6.92/5.04 ((~v102(constB90)) <=> v104(constB90)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11030, 1005, 3966])).
% 6.92/5.04 tff(11032,plain,
% 6.92/5.04 (((~![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)))),
% 6.92/5.04 inference(rewrite,[status(thm)],[])).
% 6.92/5.04 tff(11033,plain,
% 6.92/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89)))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11034,plain,
% 6.92/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v1(constB89))),
% 6.92/5.04 inference(modus_ponens,[status(thm)],[11033, 11032])).
% 6.92/5.04 tff(11035,plain,
% 6.92/5.04 (v104(constB90) <=> v1(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11034, 1005, 3980])).
% 6.92/5.04 tff(11036,plain,
% 6.92/5.04 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90)) | v1(constB89)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11037,plain,
% 6.92/5.04 ((~(v104(constB90) <=> v1(constB89))) | (~v104(constB90))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11036, 1049])).
% 6.92/5.04 tff(11038,plain,
% 6.92/5.04 (~v104(constB90)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11037, 11035])).
% 6.92/5.04 tff(11039,plain,
% 6.92/5.04 ((~((~v102(constB90)) <=> v104(constB90))) | v102(constB90) | v104(constB90)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11040,plain,
% 6.92/5.04 (v102(constB90)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11039, 11038, 11031])).
% 6.92/5.04 tff(11041,plain,
% 6.92/5.04 (v1(constB90) <=> v1(constB90)),
% 6.92/5.04 inference(rewrite,[status(thm)],[])).
% 6.92/5.04 tff(11042,axiom,(v1(constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_90')).
% 6.92/5.04 tff(11043,plain,
% 6.92/5.04 (v1(constB90)),
% 6.92/5.04 inference(modus_ponens,[status(thm)],[11042, 11041])).
% 6.92/5.04 tff(11044,plain,
% 6.92/5.04 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v1(constB90)) | (~v102(constB90))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11045,plain,
% 6.92/5.04 ((~((~v1(constB90)) | (~v102(constB90)))) | (~v102(constB90))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11044, 11043])).
% 6.92/5.04 tff(11046,plain,
% 6.92/5.04 (~((~v1(constB90)) | (~v102(constB90)))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11045, 11040])).
% 6.92/5.04 tff(11047,plain,
% 6.92/5.04 ((~(v101(constB90) <=> (~((~v1(constB90)) | (~v102(constB90)))))) | v101(constB90) | ((~v1(constB90)) | (~v102(constB90)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11048,plain,
% 6.92/5.04 (v101(constB90)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11047, 11046, 11027])).
% 6.92/5.04 tff(11049,plain,
% 6.92/5.04 (((~![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)))),
% 6.92/5.04 inference(rewrite,[status(thm)],[])).
% 6.92/5.04 tff(11050,plain,
% 6.92/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89)))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11051,plain,
% 6.92/5.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB89, constB90)) | (v110(constB90) <=> v108(constB89))),
% 6.92/5.04 inference(modus_ponens,[status(thm)],[11050, 11049])).
% 6.92/5.04 tff(11052,plain,
% 6.92/5.04 (v110(constB90) <=> v108(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11051, 1005, 4007])).
% 6.92/5.04 tff(11053,plain,
% 6.92/5.04 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB89) <=> (v111(constB89) | v112(constB89)))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11054,plain,
% 6.92/5.04 (v108(constB89) <=> (v111(constB89) | v112(constB89))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11053, 4018])).
% 6.92/5.04 tff(11055,plain,
% 6.92/5.04 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11056,plain,
% 6.92/5.04 (v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89))))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11055, 4030])).
% 6.92/5.04 tff(11057,plain,
% 6.92/5.04 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB89) <=> (v114(constB89) | v125(constB89)))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11058,plain,
% 6.92/5.04 (v113(constB89) <=> (v114(constB89) | v125(constB89))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11057, 4039])).
% 6.92/5.04 tff(11059,plain,
% 6.92/5.04 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB89) <=> (v115(constB89) | v124(constB89)))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11060,plain,
% 6.92/5.04 (v114(constB89) <=> (v115(constB89) | v124(constB89))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11059, 4048])).
% 6.92/5.04 tff(11061,plain,
% 6.92/5.04 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB89) <=> (v116(constB89) | v123(constB89)))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11062,plain,
% 6.92/5.04 (v115(constB89) <=> (v116(constB89) | v123(constB89))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11061, 4057])).
% 6.92/5.04 tff(11063,plain,
% 6.92/5.04 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB89) <=> (v117(constB89) | v122(constB89)))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11064,plain,
% 6.92/5.04 (v116(constB89) <=> (v117(constB89) | v122(constB89))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11063, 4066])).
% 6.92/5.04 tff(11065,plain,
% 6.92/5.04 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB89) <=> (v118(constB89) | v121(constB89)))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11066,plain,
% 6.92/5.04 (v117(constB89) <=> (v118(constB89) | v121(constB89))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11065, 4075])).
% 6.92/5.04 tff(11067,plain,
% 6.92/5.04 ((v118(constB89) | v121(constB89)) | (~v121(constB89))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11068,plain,
% 6.92/5.04 (v118(constB89) | v121(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11067, 11002])).
% 6.92/5.04 tff(11069,plain,
% 6.92/5.04 ((~(v117(constB89) <=> (v118(constB89) | v121(constB89)))) | v117(constB89) | (~(v118(constB89) | v121(constB89)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11070,plain,
% 6.92/5.04 (v117(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11069, 11068, 11066])).
% 6.92/5.04 tff(11071,plain,
% 6.92/5.04 ((v117(constB89) | v122(constB89)) | (~v117(constB89))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11072,plain,
% 6.92/5.04 (v117(constB89) | v122(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11071, 11070])).
% 6.92/5.04 tff(11073,plain,
% 6.92/5.04 ((~(v116(constB89) <=> (v117(constB89) | v122(constB89)))) | v116(constB89) | (~(v117(constB89) | v122(constB89)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11074,plain,
% 6.92/5.04 (v116(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11073, 11072, 11064])).
% 6.92/5.04 tff(11075,plain,
% 6.92/5.04 ((v116(constB89) | v123(constB89)) | (~v116(constB89))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11076,plain,
% 6.92/5.04 (v116(constB89) | v123(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11075, 11074])).
% 6.92/5.04 tff(11077,plain,
% 6.92/5.04 ((~(v115(constB89) <=> (v116(constB89) | v123(constB89)))) | v115(constB89) | (~(v116(constB89) | v123(constB89)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11078,plain,
% 6.92/5.04 (v115(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11077, 11076, 11062])).
% 6.92/5.04 tff(11079,plain,
% 6.92/5.04 ((v115(constB89) | v124(constB89)) | (~v115(constB89))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11080,plain,
% 6.92/5.04 (v115(constB89) | v124(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11079, 11078])).
% 6.92/5.04 tff(11081,plain,
% 6.92/5.04 ((~(v114(constB89) <=> (v115(constB89) | v124(constB89)))) | v114(constB89) | (~(v115(constB89) | v124(constB89)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11082,plain,
% 6.92/5.04 (v114(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11081, 11080, 11060])).
% 6.92/5.04 tff(11083,plain,
% 6.92/5.04 ((v114(constB89) | v125(constB89)) | (~v114(constB89))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11084,plain,
% 6.92/5.04 (v114(constB89) | v125(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11083, 11082])).
% 6.92/5.04 tff(11085,plain,
% 6.92/5.04 ((~(v113(constB89) <=> (v114(constB89) | v125(constB89)))) | v113(constB89) | (~(v114(constB89) | v125(constB89)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11086,plain,
% 6.92/5.04 (v113(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11085, 11084, 11058])).
% 6.92/5.04 tff(11087,plain,
% 6.92/5.04 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB89)) <=> v111(constB89))),
% 6.92/5.04 inference(quant_inst,[status(thm)],[])).
% 6.92/5.04 tff(11088,plain,
% 6.92/5.04 ((~v126(constB89)) <=> v111(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11087, 4118])).
% 6.92/5.04 tff(11089,plain,
% 6.92/5.04 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89) | v111(constB89)),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11090,plain,
% 6.92/5.04 ((~((~v126(constB89)) <=> v111(constB89))) | v126(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11089, 1018])).
% 6.92/5.04 tff(11091,plain,
% 6.92/5.04 (v126(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11090, 11088])).
% 6.92/5.04 tff(11092,plain,
% 6.92/5.04 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89)) | (~v126(constB89))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11093,plain,
% 6.92/5.04 ((~((~v113(constB89)) | (~v126(constB89)))) | (~v113(constB89))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11092, 11091])).
% 6.92/5.04 tff(11094,plain,
% 6.92/5.04 (~((~v113(constB89)) | (~v126(constB89)))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11093, 11086])).
% 6.92/5.04 tff(11095,plain,
% 6.92/5.04 ((~(v112(constB89) <=> (~((~v113(constB89)) | (~v126(constB89)))))) | v112(constB89) | ((~v113(constB89)) | (~v126(constB89)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11096,plain,
% 6.92/5.04 (v112(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11095, 11094, 11056])).
% 6.92/5.04 tff(11097,plain,
% 6.92/5.04 ((v111(constB89) | v112(constB89)) | (~v112(constB89))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11098,plain,
% 6.92/5.04 (v111(constB89) | v112(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11097, 11096])).
% 6.92/5.04 tff(11099,plain,
% 6.92/5.04 ((~(v108(constB89) <=> (v111(constB89) | v112(constB89)))) | v108(constB89) | (~(v111(constB89) | v112(constB89)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11100,plain,
% 6.92/5.04 (v108(constB89)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11099, 11098, 11054])).
% 6.92/5.04 tff(11101,plain,
% 6.92/5.04 ((~(v110(constB90) <=> v108(constB89))) | v110(constB90) | (~v108(constB89))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11102,plain,
% 6.92/5.04 (v110(constB90)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11101, 11100, 11052])).
% 6.92/5.04 tff(11103,plain,
% 6.92/5.04 ((~((~v101(constB90)) | (~v110(constB90)))) | (~v101(constB90)) | (~v110(constB90))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11104,plain,
% 6.92/5.04 (~((~v101(constB90)) | (~v110(constB90)))),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11103, 11102, 11048])).
% 6.92/5.04 tff(11105,plain,
% 6.92/5.04 ((~(v100(constB90) <=> (~((~v101(constB90)) | (~v110(constB90)))))) | v100(constB90) | ((~v101(constB90)) | (~v110(constB90)))),
% 6.92/5.04 inference(tautology,[status(thm)],[])).
% 6.92/5.04 tff(11106,plain,
% 6.92/5.04 (v100(constB90)),
% 6.92/5.04 inference(unit_resolution,[status(thm)],[11105, 11104, 11020])).
% 6.92/5.04 tff(11107,plain,
% 6.92/5.04 (((~![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)))))),
% 6.92/5.05 inference(rewrite,[status(thm)],[])).
% 6.92/5.05 tff(11108,plain,
% 6.92/5.05 (((~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)))))),
% 6.92/5.05 inference(rewrite,[status(thm)],[])).
% 6.92/5.05 tff(11109,plain,
% 6.92/5.05 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 6.92/5.05 inference(monotonicity,[status(thm)],[11108])).
% 6.92/5.05 tff(11110,plain,
% 6.92/5.05 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.92/5.05 inference(transitivity,[status(thm)],[11109, 11107])).
% 6.92/5.05 tff(11111,plain,
% 6.92/5.05 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB90)) | (~(((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)) | ((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)))))),
% 6.92/5.05 inference(quant_inst,[status(thm)],[])).
% 6.92/5.05 tff(11112,plain,
% 6.92/5.05 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB90)) | (~(((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))))),
% 6.92/5.05 inference(modus_ponens,[status(thm)],[11111, 11110])).
% 6.92/5.05 tff(11113,plain,
% 6.92/5.05 ((~v100(constB90)) | (~(((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))))),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11112, 4151])).
% 6.92/5.05 tff(11114,plain,
% 6.92/5.05 (~(((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)))),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11113, 11106])).
% 6.92/5.05 tff(11115,plain,
% 6.92/5.05 ((((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))) | (~((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11116,plain,
% 6.92/5.05 (~((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2))),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11115, 11114])).
% 6.92/5.05 tff(11117,plain,
% 6.92/5.05 (((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2)),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11118,plain,
% 6.92/5.05 (~v90(constB90, bitIndex2)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11117, 11116, 11016])).
% 6.92/5.05 tff(11119,plain,
% 6.92/5.05 (((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | (~v90(constB91, bitIndex2)) | v90(constB90, bitIndex2)),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11120,plain,
% 6.92/5.05 (~v90(constB91, bitIndex2)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11119, 11118, 1002])).
% 6.92/5.05 tff(11121,plain,
% 6.92/5.05 ((((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))) | (~((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11122,plain,
% 6.92/5.05 (~((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11121, 1000])).
% 6.92/5.05 tff(11123,plain,
% 6.92/5.05 ((((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0))) | (~((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0)))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11124,plain,
% 6.92/5.05 (~((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0))),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11123, 1009])).
% 6.92/5.05 tff(11125,plain,
% 6.92/5.05 ((((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1))) | (~((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11126,plain,
% 6.92/5.05 (~((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0))),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11125, 1023])).
% 6.92/5.05 tff(11127,plain,
% 6.92/5.05 ((v130(constB89, bitIndex2) | (~v130(constB89, bitIndex0)) | (~v130(constB89, bitIndex1))) | v130(constB89, bitIndex0)),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11128,plain,
% 6.92/5.05 (v130(constB89, bitIndex0)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11127, 11010])).
% 6.92/5.05 tff(11129,plain,
% 6.92/5.05 (((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)) | v127(constB89, bitIndex0) | (~v130(constB89, bitIndex0))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11130,plain,
% 6.92/5.05 (v127(constB89, bitIndex0)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11129, 11128, 11126])).
% 6.92/5.05 tff(11131,plain,
% 6.92/5.05 (((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0)) | v129(constB90, bitIndex0) | (~v127(constB89, bitIndex0))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11132,plain,
% 6.92/5.05 (v129(constB90, bitIndex0)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11131, 11130, 11124])).
% 6.92/5.05 tff(11133,plain,
% 6.92/5.05 ((((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))) | (~((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11134,plain,
% 6.92/5.05 (~((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0))),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11133, 11114])).
% 6.92/5.05 tff(11135,plain,
% 6.92/5.05 (((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11136,plain,
% 6.92/5.05 (v90(constB90, bitIndex0)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11135, 11134, 11132])).
% 6.92/5.05 tff(11137,plain,
% 6.92/5.05 (((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0)) | v90(constB91, bitIndex0) | (~v90(constB90, bitIndex0))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11138,plain,
% 6.92/5.05 (v90(constB91, bitIndex0)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11137, 11136, 11122])).
% 6.92/5.05 tff(11139,plain,
% 6.92/5.05 ((((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | ((~v90(constB91, bitIndex2)) <=> v90(constB90, bitIndex2)) | ((~v90(constB91, bitIndex0)) <=> v90(constB90, bitIndex0))) | (~((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11140,plain,
% 6.92/5.05 (~((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1))),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11139, 1000])).
% 6.92/5.05 tff(11141,plain,
% 6.92/5.05 ((((~v129(constB90, bitIndex2)) <=> v127(constB89, bitIndex2)) | ((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | ((~v129(constB90, bitIndex0)) <=> v127(constB89, bitIndex0))) | (~((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11142,plain,
% 6.92/5.05 (~((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1))),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11141, 1009])).
% 6.92/5.05 tff(11143,plain,
% 6.92/5.05 ((((~v127(constB89, bitIndex2)) <=> v130(constB89, bitIndex2)) | ((~v127(constB89, bitIndex0)) <=> v130(constB89, bitIndex0)) | ((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1))) | (~((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11144,plain,
% 6.92/5.05 (~((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1))),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11143, 1023])).
% 6.92/5.05 tff(11145,plain,
% 6.92/5.05 ((v130(constB89, bitIndex2) | (~v130(constB89, bitIndex0)) | (~v130(constB89, bitIndex1))) | v130(constB89, bitIndex1)),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11146,plain,
% 6.92/5.05 (v130(constB89, bitIndex1)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11145, 11010])).
% 6.92/5.05 tff(11147,plain,
% 6.92/5.05 (((~v127(constB89, bitIndex1)) <=> v130(constB89, bitIndex1)) | v127(constB89, bitIndex1) | (~v130(constB89, bitIndex1))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11148,plain,
% 6.92/5.05 (v127(constB89, bitIndex1)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11147, 11146, 11144])).
% 6.92/5.05 tff(11149,plain,
% 6.92/5.05 (((~v129(constB90, bitIndex1)) <=> v127(constB89, bitIndex1)) | v129(constB90, bitIndex1) | (~v127(constB89, bitIndex1))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11150,plain,
% 6.92/5.05 (v129(constB90, bitIndex1)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11149, 11148, 11142])).
% 6.92/5.05 tff(11151,plain,
% 6.92/5.05 ((((~v90(constB90, bitIndex0)) <=> v129(constB90, bitIndex0)) | ((~v90(constB90, bitIndex2)) <=> v129(constB90, bitIndex2)) | ((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))) | (~((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11152,plain,
% 6.92/5.05 (~((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1))),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11151, 11114])).
% 6.92/5.05 tff(11153,plain,
% 6.92/5.05 (((~v90(constB90, bitIndex1)) <=> v129(constB90, bitIndex1)) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11154,plain,
% 6.92/5.05 (v90(constB90, bitIndex1)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11153, 11152, 11150])).
% 6.92/5.05 tff(11155,plain,
% 6.92/5.05 (((~v90(constB91, bitIndex1)) <=> v90(constB90, bitIndex1)) | v90(constB91, bitIndex1) | (~v90(constB90, bitIndex1))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.92/5.05 tff(11156,plain,
% 6.92/5.05 (v90(constB91, bitIndex1)),
% 6.92/5.05 inference(unit_resolution,[status(thm)],[11155, 11154, 11140])).
% 6.92/5.05 tff(11157,plain,
% 6.92/5.05 ((~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))) | v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0))),
% 6.92/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11158,plain,
% 6.94/5.05 (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11157, 11156, 11138, 11120])).
% 6.94/5.05 tff(11159,plain,
% 6.94/5.05 ((~(v122(constB91) <=> (~(v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))))) | v122(constB91) | (v90(constB91, bitIndex2) | (~v90(constB91, bitIndex1)) | (~v90(constB91, bitIndex0)))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11160,plain,
% 6.94/5.05 (v122(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11159, 11158, 966])).
% 6.94/5.05 tff(11161,plain,
% 6.94/5.05 (((~![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, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2)))))),
% 6.94/5.05 inference(rewrite,[status(thm)],[])).
% 6.94/5.05 tff(11162,plain,
% 6.94/5.05 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB91)) | (~(v130(constB91, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2)))))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11163,plain,
% 6.94/5.05 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB91)) | (~(v130(constB91, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2))))),
% 6.94/5.05 inference(modus_ponens,[status(thm)],[11162, 11161])).
% 6.94/5.05 tff(11164,plain,
% 6.94/5.05 ((~v122(constB91)) | (~(v130(constB91, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2))))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11163, 4563])).
% 6.94/5.05 tff(11165,plain,
% 6.94/5.05 (~(v130(constB91, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2)))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11164, 11160])).
% 6.94/5.05 tff(11166,plain,
% 6.94/5.05 ((v130(constB91, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2))) | v130(constB91, bitIndex2)),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11167,plain,
% 6.94/5.05 (v130(constB91, bitIndex2)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11166, 11165])).
% 6.94/5.05 tff(11168,plain,
% 6.94/5.05 (((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | v127(constB91, bitIndex2) | (~v130(constB91, bitIndex2))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11169,plain,
% 6.94/5.05 (v127(constB91, bitIndex2)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11168, 11167, 946])).
% 6.94/5.05 tff(11170,plain,
% 6.94/5.05 (((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | v129(constB92, bitIndex2) | (~v127(constB91, bitIndex2))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11171,plain,
% 6.94/5.05 (v129(constB92, bitIndex2)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11170, 11169, 932])).
% 6.94/5.05 tff(11172,plain,
% 6.94/5.05 (((~![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))))))),
% 6.94/5.05 inference(rewrite,[status(thm)],[])).
% 6.94/5.05 tff(11173,plain,
% 6.94/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11174,plain,
% 6.94/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB91, constB92)) | (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))),
% 6.94/5.05 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 6.94/5.05 tff(11175,plain,
% 6.94/5.05 (v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92))))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11174, 926, 433])).
% 6.94/5.05 tff(11176,plain,
% 6.94/5.05 (((~![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))))))),
% 6.94/5.05 inference(rewrite,[status(thm)],[])).
% 6.94/5.05 tff(11177,plain,
% 6.94/5.05 (((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92)))))) <=> ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))))),
% 6.94/5.05 inference(rewrite,[status(thm)],[])).
% 6.94/5.05 tff(11178,plain,
% 6.94/5.05 (((~![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)))))))),
% 6.94/5.05 inference(monotonicity,[status(thm)],[11177])).
% 6.94/5.05 tff(11179,plain,
% 6.94/5.05 (((~![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))))))),
% 6.94/5.05 inference(transitivity,[status(thm)],[11178, 11176])).
% 6.94/5.05 tff(11180,plain,
% 6.94/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v102(constB92)) | (~v1(constB92))))))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11181,plain,
% 6.94/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))),
% 6.94/5.05 inference(modus_ponens,[status(thm)],[11180, 11179])).
% 6.94/5.05 tff(11182,plain,
% 6.94/5.05 (v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92))))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11181, 926, 453])).
% 6.94/5.05 tff(11183,plain,
% 6.94/5.05 (((~![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)))),
% 6.94/5.05 inference(rewrite,[status(thm)],[])).
% 6.94/5.05 tff(11184,plain,
% 6.94/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92)))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11185,plain,
% 6.94/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB91, constB92)) | ((~v102(constB92)) <=> v104(constB92))),
% 6.94/5.05 inference(modus_ponens,[status(thm)],[11184, 11183])).
% 6.94/5.05 tff(11186,plain,
% 6.94/5.05 ((~v102(constB92)) <=> v104(constB92)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11185, 926, 3966])).
% 6.94/5.05 tff(11187,plain,
% 6.94/5.05 (((~![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)))),
% 6.94/5.05 inference(rewrite,[status(thm)],[])).
% 6.94/5.05 tff(11188,plain,
% 6.94/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91)))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11189,plain,
% 6.94/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v1(constB91))),
% 6.94/5.05 inference(modus_ponens,[status(thm)],[11188, 11187])).
% 6.94/5.05 tff(11190,plain,
% 6.94/5.05 (v104(constB92) <=> v1(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11189, 926, 3980])).
% 6.94/5.05 tff(11191,plain,
% 6.94/5.05 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92)) | v1(constB91)),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11192,plain,
% 6.94/5.05 ((~(v104(constB92) <=> v1(constB91))) | (~v104(constB92))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11191, 983])).
% 6.94/5.05 tff(11193,plain,
% 6.94/5.05 (~v104(constB92)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11192, 11190])).
% 6.94/5.05 tff(11194,plain,
% 6.94/5.05 ((~((~v102(constB92)) <=> v104(constB92))) | v102(constB92) | v104(constB92)),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11195,plain,
% 6.94/5.05 (v102(constB92)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11194, 11193, 11186])).
% 6.94/5.05 tff(11196,plain,
% 6.94/5.05 (v1(constB92) <=> v1(constB92)),
% 6.94/5.05 inference(rewrite,[status(thm)],[])).
% 6.94/5.05 tff(11197,axiom,(v1(constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_92')).
% 6.94/5.05 tff(11198,plain,
% 6.94/5.05 (v1(constB92)),
% 6.94/5.05 inference(modus_ponens,[status(thm)],[11197, 11196])).
% 6.94/5.05 tff(11199,plain,
% 6.94/5.05 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v1(constB92)) | (~v102(constB92))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11200,plain,
% 6.94/5.05 ((~((~v1(constB92)) | (~v102(constB92)))) | (~v102(constB92))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11199, 11198])).
% 6.94/5.05 tff(11201,plain,
% 6.94/5.05 (~((~v1(constB92)) | (~v102(constB92)))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11200, 11195])).
% 6.94/5.05 tff(11202,plain,
% 6.94/5.05 ((~(v101(constB92) <=> (~((~v1(constB92)) | (~v102(constB92)))))) | v101(constB92) | ((~v1(constB92)) | (~v102(constB92)))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11203,plain,
% 6.94/5.05 (v101(constB92)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11202, 11201, 11182])).
% 6.94/5.05 tff(11204,plain,
% 6.94/5.05 (((~![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)))),
% 6.94/5.05 inference(rewrite,[status(thm)],[])).
% 6.94/5.05 tff(11205,plain,
% 6.94/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91)))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11206,plain,
% 6.94/5.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB91, constB92)) | (v110(constB92) <=> v108(constB91))),
% 6.94/5.05 inference(modus_ponens,[status(thm)],[11205, 11204])).
% 6.94/5.05 tff(11207,plain,
% 6.94/5.05 (v110(constB92) <=> v108(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11206, 926, 4007])).
% 6.94/5.05 tff(11208,plain,
% 6.94/5.05 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB91) <=> (v111(constB91) | v112(constB91)))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11209,plain,
% 6.94/5.05 (v108(constB91) <=> (v111(constB91) | v112(constB91))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11208, 4018])).
% 6.94/5.05 tff(11210,plain,
% 6.94/5.05 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11211,plain,
% 6.94/5.05 (v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91))))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11210, 4030])).
% 6.94/5.05 tff(11212,plain,
% 6.94/5.05 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB91) <=> (v114(constB91) | v125(constB91)))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11213,plain,
% 6.94/5.05 (v113(constB91) <=> (v114(constB91) | v125(constB91))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11212, 4039])).
% 6.94/5.05 tff(11214,plain,
% 6.94/5.05 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB91) <=> (v115(constB91) | v124(constB91)))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11215,plain,
% 6.94/5.05 (v114(constB91) <=> (v115(constB91) | v124(constB91))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11214, 4048])).
% 6.94/5.05 tff(11216,plain,
% 6.94/5.05 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB91) <=> (v116(constB91) | v123(constB91)))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11217,plain,
% 6.94/5.05 (v115(constB91) <=> (v116(constB91) | v123(constB91))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11216, 4057])).
% 6.94/5.05 tff(11218,plain,
% 6.94/5.05 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB91) <=> (v117(constB91) | v122(constB91)))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11219,plain,
% 6.94/5.05 (v116(constB91) <=> (v117(constB91) | v122(constB91))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11218, 4066])).
% 6.94/5.05 tff(11220,plain,
% 6.94/5.05 ((v117(constB91) | v122(constB91)) | (~v122(constB91))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11221,plain,
% 6.94/5.05 (v117(constB91) | v122(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11220, 11160])).
% 6.94/5.05 tff(11222,plain,
% 6.94/5.05 ((~(v116(constB91) <=> (v117(constB91) | v122(constB91)))) | v116(constB91) | (~(v117(constB91) | v122(constB91)))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11223,plain,
% 6.94/5.05 (v116(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11222, 11221, 11219])).
% 6.94/5.05 tff(11224,plain,
% 6.94/5.05 ((v116(constB91) | v123(constB91)) | (~v116(constB91))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11225,plain,
% 6.94/5.05 (v116(constB91) | v123(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11224, 11223])).
% 6.94/5.05 tff(11226,plain,
% 6.94/5.05 ((~(v115(constB91) <=> (v116(constB91) | v123(constB91)))) | v115(constB91) | (~(v116(constB91) | v123(constB91)))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11227,plain,
% 6.94/5.05 (v115(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11226, 11225, 11217])).
% 6.94/5.05 tff(11228,plain,
% 6.94/5.05 ((v115(constB91) | v124(constB91)) | (~v115(constB91))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11229,plain,
% 6.94/5.05 (v115(constB91) | v124(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11228, 11227])).
% 6.94/5.05 tff(11230,plain,
% 6.94/5.05 ((~(v114(constB91) <=> (v115(constB91) | v124(constB91)))) | v114(constB91) | (~(v115(constB91) | v124(constB91)))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11231,plain,
% 6.94/5.05 (v114(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11230, 11229, 11215])).
% 6.94/5.05 tff(11232,plain,
% 6.94/5.05 ((v114(constB91) | v125(constB91)) | (~v114(constB91))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11233,plain,
% 6.94/5.05 (v114(constB91) | v125(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11232, 11231])).
% 6.94/5.05 tff(11234,plain,
% 6.94/5.05 ((~(v113(constB91) <=> (v114(constB91) | v125(constB91)))) | v113(constB91) | (~(v114(constB91) | v125(constB91)))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11235,plain,
% 6.94/5.05 (v113(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11234, 11233, 11213])).
% 6.94/5.05 tff(11236,plain,
% 6.94/5.05 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB91)) <=> v111(constB91))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11237,plain,
% 6.94/5.05 ((~v126(constB91)) <=> v111(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11236, 4118])).
% 6.94/5.05 tff(11238,plain,
% 6.94/5.05 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91) | v111(constB91)),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11239,plain,
% 6.94/5.05 ((~((~v126(constB91)) <=> v111(constB91))) | v126(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11238, 939])).
% 6.94/5.05 tff(11240,plain,
% 6.94/5.05 (v126(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11239, 11237])).
% 6.94/5.05 tff(11241,plain,
% 6.94/5.05 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91)) | (~v126(constB91))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11242,plain,
% 6.94/5.05 ((~((~v113(constB91)) | (~v126(constB91)))) | (~v113(constB91))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11241, 11240])).
% 6.94/5.05 tff(11243,plain,
% 6.94/5.05 (~((~v113(constB91)) | (~v126(constB91)))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11242, 11235])).
% 6.94/5.05 tff(11244,plain,
% 6.94/5.05 ((~(v112(constB91) <=> (~((~v113(constB91)) | (~v126(constB91)))))) | v112(constB91) | ((~v113(constB91)) | (~v126(constB91)))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11245,plain,
% 6.94/5.05 (v112(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11244, 11243, 11211])).
% 6.94/5.05 tff(11246,plain,
% 6.94/5.05 ((v111(constB91) | v112(constB91)) | (~v112(constB91))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11247,plain,
% 6.94/5.05 (v111(constB91) | v112(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11246, 11245])).
% 6.94/5.05 tff(11248,plain,
% 6.94/5.05 ((~(v108(constB91) <=> (v111(constB91) | v112(constB91)))) | v108(constB91) | (~(v111(constB91) | v112(constB91)))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11249,plain,
% 6.94/5.05 (v108(constB91)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11248, 11247, 11209])).
% 6.94/5.05 tff(11250,plain,
% 6.94/5.05 ((~(v110(constB92) <=> v108(constB91))) | v110(constB92) | (~v108(constB91))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11251,plain,
% 6.94/5.05 (v110(constB92)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11250, 11249, 11207])).
% 6.94/5.05 tff(11252,plain,
% 6.94/5.05 ((~((~v101(constB92)) | (~v110(constB92)))) | (~v101(constB92)) | (~v110(constB92))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11253,plain,
% 6.94/5.05 (~((~v101(constB92)) | (~v110(constB92)))),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11252, 11251, 11203])).
% 6.94/5.05 tff(11254,plain,
% 6.94/5.05 ((~(v100(constB92) <=> (~((~v101(constB92)) | (~v110(constB92)))))) | v100(constB92) | ((~v101(constB92)) | (~v110(constB92)))),
% 6.94/5.05 inference(tautology,[status(thm)],[])).
% 6.94/5.05 tff(11255,plain,
% 6.94/5.05 (v100(constB92)),
% 6.94/5.05 inference(unit_resolution,[status(thm)],[11254, 11253, 11175])).
% 6.94/5.05 tff(11256,plain,
% 6.94/5.05 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.94/5.05 inference(rewrite,[status(thm)],[])).
% 6.94/5.05 tff(11257,plain,
% 6.94/5.05 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB92)) | (~(((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0)))))),
% 6.94/5.05 inference(quant_inst,[status(thm)],[])).
% 6.94/5.05 tff(11258,plain,
% 6.94/5.05 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB92)) | (~(((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))))),
% 6.94/5.06 inference(modus_ponens,[status(thm)],[11257, 11256])).
% 6.94/5.06 tff(11259,plain,
% 6.94/5.06 ((~v100(constB92)) | (~(((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11258, 4151])).
% 6.94/5.06 tff(11260,plain,
% 6.94/5.06 (~(((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0)))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11259, 11255])).
% 6.94/5.06 tff(11261,plain,
% 6.94/5.06 ((((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))) | (~((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11262,plain,
% 6.94/5.06 (~((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11261, 11260])).
% 6.94/5.06 tff(11263,plain,
% 6.94/5.06 (((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11264,plain,
% 6.94/5.06 (v90(constB92, bitIndex2)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11263, 11262, 11171])).
% 6.94/5.06 tff(11265,plain,
% 6.94/5.06 (((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | v90(constB93, bitIndex2) | (~v90(constB92, bitIndex2))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11266,plain,
% 6.94/5.06 (v90(constB93, bitIndex2)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11265, 11264, 923])).
% 6.94/5.06 tff(11267,plain,
% 6.94/5.06 ((((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))) | (~((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11268,plain,
% 6.94/5.06 (~((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11267, 921])).
% 6.94/5.06 tff(11269,plain,
% 6.94/5.06 ((((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0))) | (~((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11270,plain,
% 6.94/5.06 (~((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11269, 930])).
% 6.94/5.06 tff(11271,plain,
% 6.94/5.06 ((((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1))) | (~((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11272,plain,
% 6.94/5.06 (~((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11271, 944])).
% 6.94/5.06 tff(11273,plain,
% 6.94/5.06 ((v130(constB91, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2))) | (~v130(constB91, bitIndex0))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11274,plain,
% 6.94/5.06 (~v130(constB91, bitIndex0)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11273, 11165])).
% 6.94/5.06 tff(11275,plain,
% 6.94/5.06 (((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)) | (~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11276,plain,
% 6.94/5.06 (~v127(constB91, bitIndex0)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11275, 11274, 11272])).
% 6.94/5.06 tff(11277,plain,
% 6.94/5.06 (((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0)) | (~v129(constB92, bitIndex0)) | v127(constB91, bitIndex0)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11278,plain,
% 6.94/5.06 (~v129(constB92, bitIndex0)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11277, 11276, 11270])).
% 6.94/5.06 tff(11279,plain,
% 6.94/5.06 ((((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))) | (~((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11280,plain,
% 6.94/5.06 (~((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11279, 11260])).
% 6.94/5.06 tff(11281,plain,
% 6.94/5.06 (((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0)) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11282,plain,
% 6.94/5.06 (~v90(constB92, bitIndex0)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11281, 11280, 11278])).
% 6.94/5.06 tff(11283,plain,
% 6.94/5.06 (((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0)) | (~v90(constB93, bitIndex0)) | v90(constB92, bitIndex0)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11284,plain,
% 6.94/5.06 (~v90(constB93, bitIndex0)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11283, 11282, 11268])).
% 6.94/5.06 tff(11285,plain,
% 6.94/5.06 ((((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | ((~v90(constB93, bitIndex2)) <=> v90(constB92, bitIndex2)) | ((~v90(constB93, bitIndex0)) <=> v90(constB92, bitIndex0))) | (~((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11286,plain,
% 6.94/5.06 (~((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11285, 921])).
% 6.94/5.06 tff(11287,plain,
% 6.94/5.06 ((((~v129(constB92, bitIndex2)) <=> v127(constB91, bitIndex2)) | ((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | ((~v129(constB92, bitIndex0)) <=> v127(constB91, bitIndex0))) | (~((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11288,plain,
% 6.94/5.06 (~((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11287, 930])).
% 6.94/5.06 tff(11289,plain,
% 6.94/5.06 ((((~v127(constB91, bitIndex2)) <=> v130(constB91, bitIndex2)) | ((~v127(constB91, bitIndex0)) <=> v130(constB91, bitIndex0)) | ((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1))) | (~((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11290,plain,
% 6.94/5.06 (~((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11289, 944])).
% 6.94/5.06 tff(11291,plain,
% 6.94/5.06 ((v130(constB91, bitIndex0) | v130(constB91, bitIndex1) | (~v130(constB91, bitIndex2))) | (~v130(constB91, bitIndex1))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11292,plain,
% 6.94/5.06 (~v130(constB91, bitIndex1)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11291, 11165])).
% 6.94/5.06 tff(11293,plain,
% 6.94/5.06 (((~v127(constB91, bitIndex1)) <=> v130(constB91, bitIndex1)) | (~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11294,plain,
% 6.94/5.06 (~v127(constB91, bitIndex1)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11293, 11292, 11290])).
% 6.94/5.06 tff(11295,plain,
% 6.94/5.06 (((~v129(constB92, bitIndex1)) <=> v127(constB91, bitIndex1)) | (~v129(constB92, bitIndex1)) | v127(constB91, bitIndex1)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11296,plain,
% 6.94/5.06 (~v129(constB92, bitIndex1)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11295, 11294, 11288])).
% 6.94/5.06 tff(11297,plain,
% 6.94/5.06 ((((~v90(constB92, bitIndex2)) <=> v129(constB92, bitIndex2)) | ((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | ((~v90(constB92, bitIndex0)) <=> v129(constB92, bitIndex0))) | (~((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11298,plain,
% 6.94/5.06 (~((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11297, 11260])).
% 6.94/5.06 tff(11299,plain,
% 6.94/5.06 (((~v90(constB92, bitIndex1)) <=> v129(constB92, bitIndex1)) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11300,plain,
% 6.94/5.06 (~v90(constB92, bitIndex1)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11299, 11298, 11296])).
% 6.94/5.06 tff(11301,plain,
% 6.94/5.06 (((~v90(constB93, bitIndex1)) <=> v90(constB92, bitIndex1)) | (~v90(constB93, bitIndex1)) | v90(constB92, bitIndex1)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11302,plain,
% 6.94/5.06 (~v90(constB93, bitIndex1)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11301, 11300, 11286])).
% 6.94/5.06 tff(11303,plain,
% 6.94/5.06 ((~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))) | v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11304,plain,
% 6.94/5.06 (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11303, 11302, 11284, 11266])).
% 6.94/5.06 tff(11305,plain,
% 6.94/5.06 ((~(v123(constB93) <=> (~(v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))))) | v123(constB93) | (v90(constB93, bitIndex1) | v90(constB93, bitIndex0) | (~v90(constB93, bitIndex2)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11306,plain,
% 6.94/5.06 (v123(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11305, 11304, 887])).
% 6.94/5.06 tff(11307,plain,
% 6.94/5.06 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB93)) | (~(v130(constB93, bitIndex1) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB93)) | (~(v130(constB93, bitIndex1) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex0)))))),
% 6.94/5.06 inference(rewrite,[status(thm)],[])).
% 6.94/5.06 tff(11308,plain,
% 6.94/5.06 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB93)) | (~(v130(constB93, bitIndex1) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex0)))))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11309,plain,
% 6.94/5.06 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB93)) | (~(v130(constB93, bitIndex1) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex0))))),
% 6.94/5.06 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 6.94/5.06 tff(11310,plain,
% 6.94/5.06 ((~v123(constB93)) | (~(v130(constB93, bitIndex1) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex0))))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11309, 4722])).
% 6.94/5.06 tff(11311,plain,
% 6.94/5.06 (~(v130(constB93, bitIndex1) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex0)))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11310, 11306])).
% 6.94/5.06 tff(11312,plain,
% 6.94/5.06 ((v130(constB93, bitIndex1) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex0))) | v130(constB93, bitIndex2)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11313,plain,
% 6.94/5.06 (v130(constB93, bitIndex2)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11312, 11311])).
% 6.94/5.06 tff(11314,plain,
% 6.94/5.06 (((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | v127(constB93, bitIndex2) | (~v130(constB93, bitIndex2))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11315,plain,
% 6.94/5.06 (v127(constB93, bitIndex2)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11314, 11313, 867])).
% 6.94/5.06 tff(11316,plain,
% 6.94/5.06 (((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | v129(constB94, bitIndex2) | (~v127(constB93, bitIndex2))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11317,plain,
% 6.94/5.06 (v129(constB94, bitIndex2)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11316, 11315, 853])).
% 6.94/5.06 tff(11318,plain,
% 6.94/5.06 (((~![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))))))),
% 6.94/5.06 inference(rewrite,[status(thm)],[])).
% 6.94/5.06 tff(11319,plain,
% 6.94/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11320,plain,
% 6.94/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB93, constB94)) | (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))),
% 6.94/5.06 inference(modus_ponens,[status(thm)],[11319, 11318])).
% 6.94/5.06 tff(11321,plain,
% 6.94/5.06 (v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94))))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11320, 847, 433])).
% 6.94/5.06 tff(11322,plain,
% 6.94/5.06 (((~![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))))))),
% 6.94/5.06 inference(rewrite,[status(thm)],[])).
% 6.94/5.06 tff(11323,plain,
% 6.94/5.06 (((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94)))))) <=> ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))))),
% 6.94/5.06 inference(rewrite,[status(thm)],[])).
% 6.94/5.06 tff(11324,plain,
% 6.94/5.06 (((~![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)))))))),
% 6.94/5.06 inference(monotonicity,[status(thm)],[11323])).
% 6.94/5.06 tff(11325,plain,
% 6.94/5.06 (((~![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))))))),
% 6.94/5.06 inference(transitivity,[status(thm)],[11324, 11322])).
% 6.94/5.06 tff(11326,plain,
% 6.94/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v102(constB94)) | (~v1(constB94))))))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11327,plain,
% 6.94/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))),
% 6.94/5.06 inference(modus_ponens,[status(thm)],[11326, 11325])).
% 6.94/5.06 tff(11328,plain,
% 6.94/5.06 (v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94))))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11327, 847, 453])).
% 6.94/5.06 tff(11329,plain,
% 6.94/5.06 (((~![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)))),
% 6.94/5.06 inference(rewrite,[status(thm)],[])).
% 6.94/5.06 tff(11330,plain,
% 6.94/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94)))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11331,plain,
% 6.94/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB93, constB94)) | ((~v102(constB94)) <=> v104(constB94))),
% 6.94/5.06 inference(modus_ponens,[status(thm)],[11330, 11329])).
% 6.94/5.06 tff(11332,plain,
% 6.94/5.06 ((~v102(constB94)) <=> v104(constB94)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11331, 847, 3966])).
% 6.94/5.06 tff(11333,plain,
% 6.94/5.06 (((~![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)))),
% 6.94/5.06 inference(rewrite,[status(thm)],[])).
% 6.94/5.06 tff(11334,plain,
% 6.94/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93)))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11335,plain,
% 6.94/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v1(constB93))),
% 6.94/5.06 inference(modus_ponens,[status(thm)],[11334, 11333])).
% 6.94/5.06 tff(11336,plain,
% 6.94/5.06 (v104(constB94) <=> v1(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11335, 847, 3980])).
% 6.94/5.06 tff(11337,plain,
% 6.94/5.06 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94)) | v1(constB93)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11338,plain,
% 6.94/5.06 ((~(v104(constB94) <=> v1(constB93))) | (~v104(constB94))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11337, 904])).
% 6.94/5.06 tff(11339,plain,
% 6.94/5.06 (~v104(constB94)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11338, 11336])).
% 6.94/5.06 tff(11340,plain,
% 6.94/5.06 ((~((~v102(constB94)) <=> v104(constB94))) | v102(constB94) | v104(constB94)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11341,plain,
% 6.94/5.06 (v102(constB94)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11340, 11339, 11332])).
% 6.94/5.06 tff(11342,plain,
% 6.94/5.06 (v1(constB94) <=> v1(constB94)),
% 6.94/5.06 inference(rewrite,[status(thm)],[])).
% 6.94/5.06 tff(11343,axiom,(v1(constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_94')).
% 6.94/5.06 tff(11344,plain,
% 6.94/5.06 (v1(constB94)),
% 6.94/5.06 inference(modus_ponens,[status(thm)],[11343, 11342])).
% 6.94/5.06 tff(11345,plain,
% 6.94/5.06 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v1(constB94)) | (~v102(constB94))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11346,plain,
% 6.94/5.06 ((~((~v1(constB94)) | (~v102(constB94)))) | (~v102(constB94))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11345, 11344])).
% 6.94/5.06 tff(11347,plain,
% 6.94/5.06 (~((~v1(constB94)) | (~v102(constB94)))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11346, 11341])).
% 6.94/5.06 tff(11348,plain,
% 6.94/5.06 ((~(v101(constB94) <=> (~((~v1(constB94)) | (~v102(constB94)))))) | v101(constB94) | ((~v1(constB94)) | (~v102(constB94)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11349,plain,
% 6.94/5.06 (v101(constB94)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11348, 11347, 11328])).
% 6.94/5.06 tff(11350,plain,
% 6.94/5.06 (((~![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)))),
% 6.94/5.06 inference(rewrite,[status(thm)],[])).
% 6.94/5.06 tff(11351,plain,
% 6.94/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93)))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11352,plain,
% 6.94/5.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB93, constB94)) | (v110(constB94) <=> v108(constB93))),
% 6.94/5.06 inference(modus_ponens,[status(thm)],[11351, 11350])).
% 6.94/5.06 tff(11353,plain,
% 6.94/5.06 (v110(constB94) <=> v108(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11352, 847, 4007])).
% 6.94/5.06 tff(11354,plain,
% 6.94/5.06 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB93) <=> (v111(constB93) | v112(constB93)))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11355,plain,
% 6.94/5.06 (v108(constB93) <=> (v111(constB93) | v112(constB93))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11354, 4018])).
% 6.94/5.06 tff(11356,plain,
% 6.94/5.06 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11357,plain,
% 6.94/5.06 (v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93))))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11356, 4030])).
% 6.94/5.06 tff(11358,plain,
% 6.94/5.06 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB93) <=> (v114(constB93) | v125(constB93)))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11359,plain,
% 6.94/5.06 (v113(constB93) <=> (v114(constB93) | v125(constB93))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11358, 4039])).
% 6.94/5.06 tff(11360,plain,
% 6.94/5.06 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB93) <=> (v115(constB93) | v124(constB93)))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11361,plain,
% 6.94/5.06 (v114(constB93) <=> (v115(constB93) | v124(constB93))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11360, 4048])).
% 6.94/5.06 tff(11362,plain,
% 6.94/5.06 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB93) <=> (v116(constB93) | v123(constB93)))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11363,plain,
% 6.94/5.06 (v115(constB93) <=> (v116(constB93) | v123(constB93))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11362, 4057])).
% 6.94/5.06 tff(11364,plain,
% 6.94/5.06 ((v116(constB93) | v123(constB93)) | (~v123(constB93))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11365,plain,
% 6.94/5.06 (v116(constB93) | v123(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11364, 11306])).
% 6.94/5.06 tff(11366,plain,
% 6.94/5.06 ((~(v115(constB93) <=> (v116(constB93) | v123(constB93)))) | v115(constB93) | (~(v116(constB93) | v123(constB93)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11367,plain,
% 6.94/5.06 (v115(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11366, 11365, 11363])).
% 6.94/5.06 tff(11368,plain,
% 6.94/5.06 ((v115(constB93) | v124(constB93)) | (~v115(constB93))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11369,plain,
% 6.94/5.06 (v115(constB93) | v124(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11368, 11367])).
% 6.94/5.06 tff(11370,plain,
% 6.94/5.06 ((~(v114(constB93) <=> (v115(constB93) | v124(constB93)))) | v114(constB93) | (~(v115(constB93) | v124(constB93)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11371,plain,
% 6.94/5.06 (v114(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11370, 11369, 11361])).
% 6.94/5.06 tff(11372,plain,
% 6.94/5.06 ((v114(constB93) | v125(constB93)) | (~v114(constB93))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11373,plain,
% 6.94/5.06 (v114(constB93) | v125(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11372, 11371])).
% 6.94/5.06 tff(11374,plain,
% 6.94/5.06 ((~(v113(constB93) <=> (v114(constB93) | v125(constB93)))) | v113(constB93) | (~(v114(constB93) | v125(constB93)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11375,plain,
% 6.94/5.06 (v113(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11374, 11373, 11359])).
% 6.94/5.06 tff(11376,plain,
% 6.94/5.06 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB93)) <=> v111(constB93))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11377,plain,
% 6.94/5.06 ((~v126(constB93)) <=> v111(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11376, 4118])).
% 6.94/5.06 tff(11378,plain,
% 6.94/5.06 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93) | v111(constB93)),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11379,plain,
% 6.94/5.06 ((~((~v126(constB93)) <=> v111(constB93))) | v126(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11378, 860])).
% 6.94/5.06 tff(11380,plain,
% 6.94/5.06 (v126(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11379, 11377])).
% 6.94/5.06 tff(11381,plain,
% 6.94/5.06 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93)) | (~v126(constB93))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11382,plain,
% 6.94/5.06 ((~((~v113(constB93)) | (~v126(constB93)))) | (~v113(constB93))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11381, 11380])).
% 6.94/5.06 tff(11383,plain,
% 6.94/5.06 (~((~v113(constB93)) | (~v126(constB93)))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11382, 11375])).
% 6.94/5.06 tff(11384,plain,
% 6.94/5.06 ((~(v112(constB93) <=> (~((~v113(constB93)) | (~v126(constB93)))))) | v112(constB93) | ((~v113(constB93)) | (~v126(constB93)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11385,plain,
% 6.94/5.06 (v112(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11384, 11383, 11357])).
% 6.94/5.06 tff(11386,plain,
% 6.94/5.06 ((v111(constB93) | v112(constB93)) | (~v112(constB93))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11387,plain,
% 6.94/5.06 (v111(constB93) | v112(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11386, 11385])).
% 6.94/5.06 tff(11388,plain,
% 6.94/5.06 ((~(v108(constB93) <=> (v111(constB93) | v112(constB93)))) | v108(constB93) | (~(v111(constB93) | v112(constB93)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11389,plain,
% 6.94/5.06 (v108(constB93)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11388, 11387, 11355])).
% 6.94/5.06 tff(11390,plain,
% 6.94/5.06 ((~(v110(constB94) <=> v108(constB93))) | v110(constB94) | (~v108(constB93))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11391,plain,
% 6.94/5.06 (v110(constB94)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11390, 11389, 11353])).
% 6.94/5.06 tff(11392,plain,
% 6.94/5.06 ((~((~v101(constB94)) | (~v110(constB94)))) | (~v101(constB94)) | (~v110(constB94))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11393,plain,
% 6.94/5.06 (~((~v101(constB94)) | (~v110(constB94)))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11392, 11391, 11349])).
% 6.94/5.06 tff(11394,plain,
% 6.94/5.06 ((~(v100(constB94) <=> (~((~v101(constB94)) | (~v110(constB94)))))) | v100(constB94) | ((~v101(constB94)) | (~v110(constB94)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11395,plain,
% 6.94/5.06 (v100(constB94)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11394, 11393, 11321])).
% 6.94/5.06 tff(11396,plain,
% 6.94/5.06 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.94/5.06 inference(rewrite,[status(thm)],[])).
% 6.94/5.06 tff(11397,plain,
% 6.94/5.06 (((~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)))))),
% 6.94/5.06 inference(rewrite,[status(thm)],[])).
% 6.94/5.06 tff(11398,plain,
% 6.94/5.06 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 6.94/5.06 inference(monotonicity,[status(thm)],[11397])).
% 6.94/5.06 tff(11399,plain,
% 6.94/5.06 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.94/5.06 inference(transitivity,[status(thm)],[11398, 11396])).
% 6.94/5.06 tff(11400,plain,
% 6.94/5.06 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB94)) | (~(((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)) | ((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)))))),
% 6.94/5.06 inference(quant_inst,[status(thm)],[])).
% 6.94/5.06 tff(11401,plain,
% 6.94/5.06 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB94)) | (~(((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))))),
% 6.94/5.06 inference(modus_ponens,[status(thm)],[11400, 11399])).
% 6.94/5.06 tff(11402,plain,
% 6.94/5.06 ((~v100(constB94)) | (~(((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11401, 4151])).
% 6.94/5.06 tff(11403,plain,
% 6.94/5.06 (~(((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11402, 11395])).
% 6.94/5.06 tff(11404,plain,
% 6.94/5.06 ((((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))) | (~((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11405,plain,
% 6.94/5.06 (~((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2))),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11404, 11403])).
% 6.94/5.06 tff(11406,plain,
% 6.94/5.06 (((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11407,plain,
% 6.94/5.06 (v90(constB94, bitIndex2)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11406, 11405, 11317])).
% 6.94/5.06 tff(11408,plain,
% 6.94/5.06 (((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | v90(constB95, bitIndex2) | (~v90(constB94, bitIndex2))),
% 6.94/5.06 inference(tautology,[status(thm)],[])).
% 6.94/5.06 tff(11409,plain,
% 6.94/5.06 (v90(constB95, bitIndex2)),
% 6.94/5.06 inference(unit_resolution,[status(thm)],[11408, 11407, 844])).
% 6.94/5.07 tff(11410,plain,
% 6.94/5.07 ((((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))) | (~((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11411,plain,
% 6.94/5.07 (~((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11410, 842])).
% 6.94/5.07 tff(11412,plain,
% 6.94/5.07 ((((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0))) | (~((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11413,plain,
% 6.94/5.07 (~((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11412, 851])).
% 6.94/5.07 tff(11414,plain,
% 6.94/5.07 ((((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1))) | (~((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11415,plain,
% 6.94/5.07 (~((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11414, 865])).
% 6.94/5.07 tff(11416,plain,
% 6.94/5.07 ((v130(constB93, bitIndex1) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex0))) | v130(constB93, bitIndex0)),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11417,plain,
% 6.94/5.07 (v130(constB93, bitIndex0)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11416, 11311])).
% 6.94/5.07 tff(11418,plain,
% 6.94/5.07 (((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)) | v127(constB93, bitIndex0) | (~v130(constB93, bitIndex0))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11419,plain,
% 6.94/5.07 (v127(constB93, bitIndex0)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11418, 11417, 11415])).
% 6.94/5.07 tff(11420,plain,
% 6.94/5.07 (((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0)) | v129(constB94, bitIndex0) | (~v127(constB93, bitIndex0))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11421,plain,
% 6.94/5.07 (v129(constB94, bitIndex0)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11420, 11419, 11413])).
% 6.94/5.07 tff(11422,plain,
% 6.94/5.07 ((((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))) | (~((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11423,plain,
% 6.94/5.07 (~((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11422, 11403])).
% 6.94/5.07 tff(11424,plain,
% 6.94/5.07 (((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | v90(constB94, bitIndex0) | (~v129(constB94, bitIndex0))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11425,plain,
% 6.94/5.07 (v90(constB94, bitIndex0)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11424, 11423, 11421])).
% 6.94/5.07 tff(11426,plain,
% 6.94/5.07 (((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0)) | v90(constB95, bitIndex0) | (~v90(constB94, bitIndex0))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11427,plain,
% 6.94/5.07 (v90(constB95, bitIndex0)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11426, 11425, 11411])).
% 6.94/5.07 tff(11428,plain,
% 6.94/5.07 ((((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | ((~v90(constB95, bitIndex2)) <=> v90(constB94, bitIndex2)) | ((~v90(constB95, bitIndex0)) <=> v90(constB94, bitIndex0))) | (~((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11429,plain,
% 6.94/5.07 (~((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11428, 842])).
% 6.94/5.07 tff(11430,plain,
% 6.94/5.07 ((((~v129(constB94, bitIndex2)) <=> v127(constB93, bitIndex2)) | ((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | ((~v129(constB94, bitIndex0)) <=> v127(constB93, bitIndex0))) | (~((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11431,plain,
% 6.94/5.07 (~((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11430, 851])).
% 6.94/5.07 tff(11432,plain,
% 6.94/5.07 ((((~v127(constB93, bitIndex2)) <=> v130(constB93, bitIndex2)) | ((~v127(constB93, bitIndex0)) <=> v130(constB93, bitIndex0)) | ((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1))) | (~((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11433,plain,
% 6.94/5.07 (~((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11432, 865])).
% 6.94/5.07 tff(11434,plain,
% 6.94/5.07 ((v130(constB93, bitIndex1) | (~v130(constB93, bitIndex2)) | (~v130(constB93, bitIndex0))) | (~v130(constB93, bitIndex1))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11435,plain,
% 6.94/5.07 (~v130(constB93, bitIndex1)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11434, 11311])).
% 6.94/5.07 tff(11436,plain,
% 6.94/5.07 (((~v127(constB93, bitIndex1)) <=> v130(constB93, bitIndex1)) | (~v127(constB93, bitIndex1)) | v130(constB93, bitIndex1)),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11437,plain,
% 6.94/5.07 (~v127(constB93, bitIndex1)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11436, 11435, 11433])).
% 6.94/5.07 tff(11438,plain,
% 6.94/5.07 (((~v129(constB94, bitIndex1)) <=> v127(constB93, bitIndex1)) | (~v129(constB94, bitIndex1)) | v127(constB93, bitIndex1)),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11439,plain,
% 6.94/5.07 (~v129(constB94, bitIndex1)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11438, 11437, 11431])).
% 6.94/5.07 tff(11440,plain,
% 6.94/5.07 ((((~v90(constB94, bitIndex0)) <=> v129(constB94, bitIndex0)) | ((~v90(constB94, bitIndex2)) <=> v129(constB94, bitIndex2)) | ((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))) | (~((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11441,plain,
% 6.94/5.07 (~((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11440, 11403])).
% 6.94/5.07 tff(11442,plain,
% 6.94/5.07 (((~v90(constB94, bitIndex1)) <=> v129(constB94, bitIndex1)) | (~v90(constB94, bitIndex1)) | v129(constB94, bitIndex1)),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11443,plain,
% 6.94/5.07 (~v90(constB94, bitIndex1)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11442, 11441, 11439])).
% 6.94/5.07 tff(11444,plain,
% 6.94/5.07 (((~v90(constB95, bitIndex1)) <=> v90(constB94, bitIndex1)) | (~v90(constB95, bitIndex1)) | v90(constB94, bitIndex1)),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11445,plain,
% 6.94/5.07 (~v90(constB95, bitIndex1)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11444, 11443, 11429])).
% 6.94/5.07 tff(11446,plain,
% 6.94/5.07 ((~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0)))) | v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11447,plain,
% 6.94/5.07 (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0)))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11446, 11445, 11427, 11409])).
% 6.94/5.07 tff(11448,plain,
% 6.94/5.07 ((~(v124(constB95) <=> (~(v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0)))))) | v124(constB95) | (v90(constB95, bitIndex1) | (~v90(constB95, bitIndex2)) | (~v90(constB95, bitIndex0)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11449,plain,
% 6.94/5.07 (v124(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11448, 11447, 808])).
% 6.94/5.07 tff(11450,plain,
% 6.94/5.07 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB95)) | (~(v130(constB95, bitIndex0) | (~v130(constB95, bitIndex2)) | (~v130(constB95, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB95)) | (~(v130(constB95, bitIndex0) | (~v130(constB95, bitIndex2)) | (~v130(constB95, bitIndex1)))))),
% 6.94/5.07 inference(rewrite,[status(thm)],[])).
% 6.94/5.07 tff(11451,plain,
% 6.94/5.07 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB95)) | (~(v130(constB95, bitIndex0) | (~v130(constB95, bitIndex2)) | (~v130(constB95, bitIndex1)))))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11452,plain,
% 6.94/5.07 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB95)) | (~(v130(constB95, bitIndex0) | (~v130(constB95, bitIndex2)) | (~v130(constB95, bitIndex1))))),
% 6.94/5.07 inference(modus_ponens,[status(thm)],[11451, 11450])).
% 6.94/5.07 tff(11453,plain,
% 6.94/5.07 ((~v124(constB95)) | (~(v130(constB95, bitIndex0) | (~v130(constB95, bitIndex2)) | (~v130(constB95, bitIndex1))))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11452, 4878])).
% 6.94/5.07 tff(11454,plain,
% 6.94/5.07 (~(v130(constB95, bitIndex0) | (~v130(constB95, bitIndex2)) | (~v130(constB95, bitIndex1)))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11453, 11449])).
% 6.94/5.07 tff(11455,plain,
% 6.94/5.07 ((v130(constB95, bitIndex0) | (~v130(constB95, bitIndex2)) | (~v130(constB95, bitIndex1))) | v130(constB95, bitIndex2)),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11456,plain,
% 6.94/5.07 (v130(constB95, bitIndex2)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11455, 11454])).
% 6.94/5.07 tff(11457,plain,
% 6.94/5.07 (((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | v127(constB95, bitIndex2) | (~v130(constB95, bitIndex2))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11458,plain,
% 6.94/5.07 (v127(constB95, bitIndex2)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11457, 11456, 788])).
% 6.94/5.07 tff(11459,plain,
% 6.94/5.07 (((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | v129(constB96, bitIndex2) | (~v127(constB95, bitIndex2))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11460,plain,
% 6.94/5.07 (v129(constB96, bitIndex2)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11459, 11458, 774])).
% 6.94/5.07 tff(11461,plain,
% 6.94/5.07 (((~![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))))))),
% 6.94/5.07 inference(rewrite,[status(thm)],[])).
% 6.94/5.07 tff(11462,plain,
% 6.94/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11463,plain,
% 6.94/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB95, constB96)) | (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))),
% 6.94/5.07 inference(modus_ponens,[status(thm)],[11462, 11461])).
% 6.94/5.07 tff(11464,plain,
% 6.94/5.07 (v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96))))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11463, 768, 433])).
% 6.94/5.07 tff(11465,plain,
% 6.94/5.07 (((~![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))))))),
% 6.94/5.07 inference(rewrite,[status(thm)],[])).
% 6.94/5.07 tff(11466,plain,
% 6.94/5.07 (((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96)))))) <=> ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))))),
% 6.94/5.07 inference(rewrite,[status(thm)],[])).
% 6.94/5.07 tff(11467,plain,
% 6.94/5.07 (((~![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)))))))),
% 6.94/5.07 inference(monotonicity,[status(thm)],[11466])).
% 6.94/5.07 tff(11468,plain,
% 6.94/5.07 (((~![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))))))),
% 6.94/5.07 inference(transitivity,[status(thm)],[11467, 11465])).
% 6.94/5.07 tff(11469,plain,
% 6.94/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v102(constB96)) | (~v1(constB96))))))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11470,plain,
% 6.94/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))),
% 6.94/5.07 inference(modus_ponens,[status(thm)],[11469, 11468])).
% 6.94/5.07 tff(11471,plain,
% 6.94/5.07 (v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96))))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11470, 768, 453])).
% 6.94/5.07 tff(11472,plain,
% 6.94/5.07 (((~![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)))),
% 6.94/5.07 inference(rewrite,[status(thm)],[])).
% 6.94/5.07 tff(11473,plain,
% 6.94/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96)))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11474,plain,
% 6.94/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB95, constB96)) | ((~v102(constB96)) <=> v104(constB96))),
% 6.94/5.07 inference(modus_ponens,[status(thm)],[11473, 11472])).
% 6.94/5.07 tff(11475,plain,
% 6.94/5.07 ((~v102(constB96)) <=> v104(constB96)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11474, 768, 3966])).
% 6.94/5.07 tff(11476,plain,
% 6.94/5.07 (((~![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)))),
% 6.94/5.07 inference(rewrite,[status(thm)],[])).
% 6.94/5.07 tff(11477,plain,
% 6.94/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95)))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11478,plain,
% 6.94/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v1(constB95))),
% 6.94/5.07 inference(modus_ponens,[status(thm)],[11477, 11476])).
% 6.94/5.07 tff(11479,plain,
% 6.94/5.07 (v104(constB96) <=> v1(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11478, 768, 3980])).
% 6.94/5.07 tff(11480,plain,
% 6.94/5.07 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96)) | v1(constB95)),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11481,plain,
% 6.94/5.07 ((~(v104(constB96) <=> v1(constB95))) | (~v104(constB96))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11480, 825])).
% 6.94/5.07 tff(11482,plain,
% 6.94/5.07 (~v104(constB96)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11481, 11479])).
% 6.94/5.07 tff(11483,plain,
% 6.94/5.07 ((~((~v102(constB96)) <=> v104(constB96))) | v102(constB96) | v104(constB96)),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11484,plain,
% 6.94/5.07 (v102(constB96)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11483, 11482, 11475])).
% 6.94/5.07 tff(11485,plain,
% 6.94/5.07 (v1(constB96) <=> v1(constB96)),
% 6.94/5.07 inference(rewrite,[status(thm)],[])).
% 6.94/5.07 tff(11486,axiom,(v1(constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_96')).
% 6.94/5.07 tff(11487,plain,
% 6.94/5.07 (v1(constB96)),
% 6.94/5.07 inference(modus_ponens,[status(thm)],[11486, 11485])).
% 6.94/5.07 tff(11488,plain,
% 6.94/5.07 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v1(constB96)) | (~v102(constB96))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11489,plain,
% 6.94/5.07 ((~((~v1(constB96)) | (~v102(constB96)))) | (~v102(constB96))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11488, 11487])).
% 6.94/5.07 tff(11490,plain,
% 6.94/5.07 (~((~v1(constB96)) | (~v102(constB96)))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11489, 11484])).
% 6.94/5.07 tff(11491,plain,
% 6.94/5.07 ((~(v101(constB96) <=> (~((~v1(constB96)) | (~v102(constB96)))))) | v101(constB96) | ((~v1(constB96)) | (~v102(constB96)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11492,plain,
% 6.94/5.07 (v101(constB96)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11491, 11490, 11471])).
% 6.94/5.07 tff(11493,plain,
% 6.94/5.07 (((~![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)))),
% 6.94/5.07 inference(rewrite,[status(thm)],[])).
% 6.94/5.07 tff(11494,plain,
% 6.94/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95)))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11495,plain,
% 6.94/5.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB95, constB96)) | (v110(constB96) <=> v108(constB95))),
% 6.94/5.07 inference(modus_ponens,[status(thm)],[11494, 11493])).
% 6.94/5.07 tff(11496,plain,
% 6.94/5.07 (v110(constB96) <=> v108(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11495, 768, 4007])).
% 6.94/5.07 tff(11497,plain,
% 6.94/5.07 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB95) <=> (v111(constB95) | v112(constB95)))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11498,plain,
% 6.94/5.07 (v108(constB95) <=> (v111(constB95) | v112(constB95))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11497, 4018])).
% 6.94/5.07 tff(11499,plain,
% 6.94/5.07 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11500,plain,
% 6.94/5.07 (v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95))))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11499, 4030])).
% 6.94/5.07 tff(11501,plain,
% 6.94/5.07 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB95) <=> (v114(constB95) | v125(constB95)))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11502,plain,
% 6.94/5.07 (v113(constB95) <=> (v114(constB95) | v125(constB95))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11501, 4039])).
% 6.94/5.07 tff(11503,plain,
% 6.94/5.07 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB95) <=> (v115(constB95) | v124(constB95)))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11504,plain,
% 6.94/5.07 (v114(constB95) <=> (v115(constB95) | v124(constB95))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11503, 4048])).
% 6.94/5.07 tff(11505,plain,
% 6.94/5.07 ((v115(constB95) | v124(constB95)) | (~v124(constB95))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11506,plain,
% 6.94/5.07 (v115(constB95) | v124(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11505, 11449])).
% 6.94/5.07 tff(11507,plain,
% 6.94/5.07 ((~(v114(constB95) <=> (v115(constB95) | v124(constB95)))) | v114(constB95) | (~(v115(constB95) | v124(constB95)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11508,plain,
% 6.94/5.07 (v114(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11507, 11506, 11504])).
% 6.94/5.07 tff(11509,plain,
% 6.94/5.07 ((v114(constB95) | v125(constB95)) | (~v114(constB95))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11510,plain,
% 6.94/5.07 (v114(constB95) | v125(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11509, 11508])).
% 6.94/5.07 tff(11511,plain,
% 6.94/5.07 ((~(v113(constB95) <=> (v114(constB95) | v125(constB95)))) | v113(constB95) | (~(v114(constB95) | v125(constB95)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11512,plain,
% 6.94/5.07 (v113(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11511, 11510, 11502])).
% 6.94/5.07 tff(11513,plain,
% 6.94/5.07 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB95)) <=> v111(constB95))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11514,plain,
% 6.94/5.07 ((~v126(constB95)) <=> v111(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11513, 4118])).
% 6.94/5.07 tff(11515,plain,
% 6.94/5.07 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95) | v111(constB95)),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11516,plain,
% 6.94/5.07 ((~((~v126(constB95)) <=> v111(constB95))) | v126(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11515, 781])).
% 6.94/5.07 tff(11517,plain,
% 6.94/5.07 (v126(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11516, 11514])).
% 6.94/5.07 tff(11518,plain,
% 6.94/5.07 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95)) | (~v126(constB95))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11519,plain,
% 6.94/5.07 ((~((~v113(constB95)) | (~v126(constB95)))) | (~v113(constB95))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11518, 11517])).
% 6.94/5.07 tff(11520,plain,
% 6.94/5.07 (~((~v113(constB95)) | (~v126(constB95)))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11519, 11512])).
% 6.94/5.07 tff(11521,plain,
% 6.94/5.07 ((~(v112(constB95) <=> (~((~v113(constB95)) | (~v126(constB95)))))) | v112(constB95) | ((~v113(constB95)) | (~v126(constB95)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11522,plain,
% 6.94/5.07 (v112(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11521, 11520, 11500])).
% 6.94/5.07 tff(11523,plain,
% 6.94/5.07 ((v111(constB95) | v112(constB95)) | (~v112(constB95))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11524,plain,
% 6.94/5.07 (v111(constB95) | v112(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11523, 11522])).
% 6.94/5.07 tff(11525,plain,
% 6.94/5.07 ((~(v108(constB95) <=> (v111(constB95) | v112(constB95)))) | v108(constB95) | (~(v111(constB95) | v112(constB95)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11526,plain,
% 6.94/5.07 (v108(constB95)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11525, 11524, 11498])).
% 6.94/5.07 tff(11527,plain,
% 6.94/5.07 ((~(v110(constB96) <=> v108(constB95))) | v110(constB96) | (~v108(constB95))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11528,plain,
% 6.94/5.07 (v110(constB96)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11527, 11526, 11496])).
% 6.94/5.07 tff(11529,plain,
% 6.94/5.07 ((~((~v101(constB96)) | (~v110(constB96)))) | (~v101(constB96)) | (~v110(constB96))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11530,plain,
% 6.94/5.07 (~((~v101(constB96)) | (~v110(constB96)))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11529, 11528, 11492])).
% 6.94/5.07 tff(11531,plain,
% 6.94/5.07 ((~(v100(constB96) <=> (~((~v101(constB96)) | (~v110(constB96)))))) | v100(constB96) | ((~v101(constB96)) | (~v110(constB96)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11532,plain,
% 6.94/5.07 (v100(constB96)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11531, 11530, 11464])).
% 6.94/5.07 tff(11533,plain,
% 6.94/5.07 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.94/5.07 inference(rewrite,[status(thm)],[])).
% 6.94/5.07 tff(11534,plain,
% 6.94/5.07 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB96)) | (~(((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0)))))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11535,plain,
% 6.94/5.07 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB96)) | (~(((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))))),
% 6.94/5.07 inference(modus_ponens,[status(thm)],[11534, 11533])).
% 6.94/5.07 tff(11536,plain,
% 6.94/5.07 ((~v100(constB96)) | (~(((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11535, 4151])).
% 6.94/5.07 tff(11537,plain,
% 6.94/5.07 (~(((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0)))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11536, 11532])).
% 6.94/5.07 tff(11538,plain,
% 6.94/5.07 ((((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))) | (~((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11539,plain,
% 6.94/5.07 (~((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11538, 11537])).
% 6.94/5.07 tff(11540,plain,
% 6.94/5.07 (((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | v90(constB96, bitIndex2) | (~v129(constB96, bitIndex2))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11541,plain,
% 6.94/5.07 (v90(constB96, bitIndex2)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11540, 11539, 11460])).
% 6.94/5.07 tff(11542,plain,
% 6.94/5.07 (((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | v90(constB97, bitIndex2) | (~v90(constB96, bitIndex2))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11543,plain,
% 6.94/5.07 (v90(constB97, bitIndex2)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11542, 11541, 765])).
% 6.94/5.07 tff(11544,plain,
% 6.94/5.07 ((v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex2))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11545,plain,
% 6.94/5.07 (v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11544, 11543])).
% 6.94/5.07 tff(11546,plain,
% 6.94/5.07 ((~(v119(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))))) | (~v119(constB97)) | (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11547,plain,
% 6.94/5.07 (~v119(constB97)),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11546, 11545, 729])).
% 6.94/5.07 tff(11548,plain,
% 6.94/5.07 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex0))))))),
% 6.94/5.07 inference(rewrite,[status(thm)],[])).
% 6.94/5.07 tff(11549,plain,
% 6.94/5.07 ((v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2))))) <=> (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex0)))))),
% 6.94/5.07 inference(rewrite,[status(thm)],[])).
% 6.94/5.07 tff(11550,plain,
% 6.94/5.07 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex0))))))),
% 6.94/5.07 inference(monotonicity,[status(thm)],[11549])).
% 6.94/5.07 tff(11551,plain,
% 6.94/5.07 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex0))))))),
% 6.94/5.07 inference(transitivity,[status(thm)],[11550, 11548])).
% 6.94/5.07 tff(11552,plain,
% 6.94/5.07 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex2)))))),
% 6.94/5.07 inference(quant_inst,[status(thm)],[])).
% 6.94/5.07 tff(11553,plain,
% 6.94/5.07 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex0)))))),
% 6.94/5.07 inference(modus_ponens,[status(thm)],[11552, 11551])).
% 6.94/5.07 tff(11554,plain,
% 6.94/5.07 (v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex0))))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11553, 801])).
% 6.94/5.07 tff(11555,plain,
% 6.94/5.07 ((((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))) | (~((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11556,plain,
% 6.94/5.07 (~((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11555, 763])).
% 6.94/5.07 tff(11557,plain,
% 6.94/5.07 ((((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0))) | (~((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11558,plain,
% 6.94/5.07 (~((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11557, 772])).
% 6.94/5.07 tff(11559,plain,
% 6.94/5.07 ((((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1))) | (~((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)))),
% 6.94/5.07 inference(tautology,[status(thm)],[])).
% 6.94/5.07 tff(11560,plain,
% 6.94/5.07 (~((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1))),
% 6.94/5.07 inference(unit_resolution,[status(thm)],[11559, 786])).
% 6.94/5.07 tff(11561,plain,
% 6.94/5.07 ((v130(constB95, bitIndex0) | (~v130(constB95, bitIndex2)) | (~v130(constB95, bitIndex1))) | v130(constB95, bitIndex1)),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11562,plain,
% 6.94/5.08 (v130(constB95, bitIndex1)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11561, 11454])).
% 6.94/5.08 tff(11563,plain,
% 6.94/5.08 (((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1)) | v127(constB95, bitIndex1) | (~v130(constB95, bitIndex1))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11564,plain,
% 6.94/5.08 (v127(constB95, bitIndex1)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11563, 11562, 11560])).
% 6.94/5.08 tff(11565,plain,
% 6.94/5.08 (((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | v129(constB96, bitIndex1) | (~v127(constB95, bitIndex1))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11566,plain,
% 6.94/5.08 (v129(constB96, bitIndex1)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11565, 11564, 11558])).
% 6.94/5.08 tff(11567,plain,
% 6.94/5.08 ((((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))) | (~((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11568,plain,
% 6.94/5.08 (~((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11567, 11537])).
% 6.94/5.08 tff(11569,plain,
% 6.94/5.08 (((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | v90(constB96, bitIndex1) | (~v129(constB96, bitIndex1))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11570,plain,
% 6.94/5.08 (v90(constB96, bitIndex1)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11569, 11568, 11566])).
% 6.94/5.08 tff(11571,plain,
% 6.94/5.08 (((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | v90(constB97, bitIndex1) | (~v90(constB96, bitIndex1))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11572,plain,
% 6.94/5.08 (v90(constB97, bitIndex1)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11571, 11570, 11556])).
% 6.94/5.08 tff(11573,plain,
% 6.94/5.08 ((v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex0))) | (~v90(constB97, bitIndex1))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11574,plain,
% 6.94/5.08 (v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex0))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11573, 11572])).
% 6.94/5.08 tff(11575,plain,
% 6.94/5.08 ((~(v124(constB97) <=> (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex0)))))) | (~v124(constB97)) | (~(v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)) | (~v90(constB97, bitIndex0))))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11576,plain,
% 6.94/5.08 (~v124(constB97)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11575, 11574, 11554])).
% 6.94/5.08 tff(11577,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex2))))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11578,plain,
% 6.94/5.08 ((v123(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2))))) <=> (v123(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex2)))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11579,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex2))))))),
% 6.94/5.08 inference(monotonicity,[status(thm)],[11578])).
% 6.94/5.08 tff(11580,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex2))))))),
% 6.94/5.08 inference(transitivity,[status(thm)],[11579, 11577])).
% 6.94/5.08 tff(11581,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex1) | (~v90(constB97, bitIndex2)))))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11582,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex2)))))),
% 6.94/5.08 inference(modus_ponens,[status(thm)],[11581, 11580])).
% 6.94/5.08 tff(11583,plain,
% 6.94/5.08 (v123(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex2))))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11582, 880])).
% 6.94/5.08 tff(11584,plain,
% 6.94/5.08 ((v90(constB97, bitIndex1) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex2))) | (~v90(constB97, bitIndex1))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11585,plain,
% 6.94/5.08 (v90(constB97, bitIndex1) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex2))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11584, 11572])).
% 6.94/5.08 tff(11586,plain,
% 6.94/5.08 ((~(v123(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex2)))))) | (~v123(constB97)) | (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex2))))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11587,plain,
% 6.94/5.08 (~v123(constB97)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11586, 11585, 11583])).
% 6.94/5.08 tff(11588,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11589,plain,
% 6.94/5.08 ((v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1))))) <=> (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0)))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11590,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))))),
% 6.94/5.08 inference(monotonicity,[status(thm)],[11589])).
% 6.94/5.08 tff(11591,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))))),
% 6.94/5.08 inference(transitivity,[status(thm)],[11590, 11588])).
% 6.94/5.08 tff(11592,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)) | (~v90(constB97, bitIndex1)))))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11593,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0)))))),
% 6.94/5.08 inference(modus_ponens,[status(thm)],[11592, 11591])).
% 6.94/5.08 tff(11594,plain,
% 6.94/5.08 (v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11593, 959])).
% 6.94/5.08 tff(11595,plain,
% 6.94/5.08 ((v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))) | (~v90(constB97, bitIndex2))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11596,plain,
% 6.94/5.08 (v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11595, 11543])).
% 6.94/5.08 tff(11597,plain,
% 6.94/5.08 ((~(v122(constB97) <=> (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0)))))) | (~v122(constB97)) | (~(v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex0))))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11598,plain,
% 6.94/5.08 (~v122(constB97)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11597, 11596, 11594])).
% 6.94/5.08 tff(11599,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1))))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11600,plain,
% 6.94/5.08 ((v121(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1))))) <=> (v121(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11601,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1))))))),
% 6.94/5.08 inference(monotonicity,[status(thm)],[11600])).
% 6.94/5.08 tff(11602,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1))))))),
% 6.94/5.08 inference(transitivity,[status(thm)],[11601, 11599])).
% 6.94/5.08 tff(11603,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex0) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex1)))))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11604,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)))))),
% 6.94/5.08 inference(modus_ponens,[status(thm)],[11603, 11602])).
% 6.94/5.08 tff(11605,plain,
% 6.94/5.08 (v121(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1))))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11604, 574])).
% 6.94/5.08 tff(11606,plain,
% 6.94/5.08 ((v90(constB97, bitIndex2) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1))) | (~v90(constB97, bitIndex2))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11607,plain,
% 6.94/5.08 (v90(constB97, bitIndex2) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11606, 11543])).
% 6.94/5.08 tff(11608,plain,
% 6.94/5.08 ((~(v121(constB97) <=> (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)))))) | (~v121(constB97)) | (~(v90(constB97, bitIndex2) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1))))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11609,plain,
% 6.94/5.08 (~v121(constB97)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11608, 11607, 11605])).
% 6.94/5.08 tff(11610,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11611,plain,
% 6.94/5.08 (v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0))))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11610, 653])).
% 6.94/5.08 tff(11612,plain,
% 6.94/5.08 ((v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0))) | (~v90(constB97, bitIndex2))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11613,plain,
% 6.94/5.08 (v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11612, 11543])).
% 6.94/5.08 tff(11614,plain,
% 6.94/5.08 ((~(v120(constB97) <=> (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0)))))) | (~v120(constB97)) | (~(v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | (~v90(constB97, bitIndex0))))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11615,plain,
% 6.94/5.08 (~v120(constB97)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11614, 11613, 11611])).
% 6.94/5.08 tff(11616,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, 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(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0)))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11617,plain,
% 6.94/5.08 ((v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0))))) <=> (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0)))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11618,plain,
% 6.94/5.08 ((~(v130(constB97, bitIndex1) | v130(constB97, bitIndex2) | (~v130(constB97, bitIndex0)))) <=> (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11619,plain,
% 6.94/5.08 ((v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~(v130(constB97, bitIndex1) | v130(constB97, bitIndex2) | (~v130(constB97, bitIndex0))))) <=> (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0)))))),
% 6.94/5.08 inference(monotonicity,[status(thm)],[11618])).
% 6.94/5.08 tff(11620,plain,
% 6.94/5.08 ((v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~(v130(constB97, bitIndex1) | v130(constB97, bitIndex2) | (~v130(constB97, bitIndex0))))) <=> (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0)))))),
% 6.94/5.08 inference(transitivity,[status(thm)],[11619, 11617])).
% 6.94/5.08 tff(11621,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~(v130(constB97, bitIndex1) | v130(constB97, bitIndex2) | (~v130(constB97, 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(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0))))))),
% 6.94/5.08 inference(monotonicity,[status(thm)],[11620])).
% 6.94/5.08 tff(11622,plain,
% 6.94/5.08 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~(v130(constB97, bitIndex1) | v130(constB97, bitIndex2) | (~v130(constB97, 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(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0)))))),
% 6.94/5.08 inference(transitivity,[status(thm)],[11621, 11616])).
% 6.94/5.08 tff(11623,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB97) | v123(constB97) | v122(constB97) | v121(constB97) | v120(constB97) | v119(constB97) | (~(v130(constB97, bitIndex1) | v130(constB97, bitIndex2) | (~v130(constB97, bitIndex0)))))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11624,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0))))),
% 6.94/5.08 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 6.94/5.08 tff(11625,plain,
% 6.94/5.08 (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0))))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11624, 5057])).
% 6.94/5.08 tff(11626,plain,
% 6.94/5.08 (~(v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0)))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11625, 11615, 11609, 11598, 11587, 11576, 11547])).
% 6.94/5.08 tff(11627,plain,
% 6.94/5.08 ((v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0))) | (~v130(constB97, bitIndex2))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11628,plain,
% 6.94/5.08 (~v130(constB97, bitIndex2)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11627, 11626])).
% 6.94/5.08 tff(11629,plain,
% 6.94/5.08 (((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | (~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11630,plain,
% 6.94/5.08 (~v127(constB97, bitIndex2)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11629, 11628, 714])).
% 6.94/5.08 tff(11631,plain,
% 6.94/5.08 (((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | (~v129(constB98, bitIndex2)) | v127(constB97, bitIndex2)),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11632,plain,
% 6.94/5.08 (~v129(constB98, bitIndex2)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11631, 11630, 700])).
% 6.94/5.08 tff(11633,plain,
% 6.94/5.08 (((~![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))))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11634,plain,
% 6.94/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11635,plain,
% 6.94/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB97, constB98)) | (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))),
% 6.94/5.08 inference(modus_ponens,[status(thm)],[11634, 11633])).
% 6.94/5.08 tff(11636,plain,
% 6.94/5.08 (v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98))))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11635, 694, 433])).
% 6.94/5.08 tff(11637,plain,
% 6.94/5.08 (((~![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))))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11638,plain,
% 6.94/5.08 (((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98)))))) <=> ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11639,plain,
% 6.94/5.08 (((~![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)))))))),
% 6.94/5.08 inference(monotonicity,[status(thm)],[11638])).
% 6.94/5.08 tff(11640,plain,
% 6.94/5.08 (((~![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))))))),
% 6.94/5.08 inference(transitivity,[status(thm)],[11639, 11637])).
% 6.94/5.08 tff(11641,plain,
% 6.94/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v102(constB98)) | (~v1(constB98))))))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11642,plain,
% 6.94/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))),
% 6.94/5.08 inference(modus_ponens,[status(thm)],[11641, 11640])).
% 6.94/5.08 tff(11643,plain,
% 6.94/5.08 (v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98))))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11642, 694, 453])).
% 6.94/5.08 tff(11644,plain,
% 6.94/5.08 (((~![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)))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11645,plain,
% 6.94/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98)))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11646,plain,
% 6.94/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB97, constB98)) | ((~v102(constB98)) <=> v104(constB98))),
% 6.94/5.08 inference(modus_ponens,[status(thm)],[11645, 11644])).
% 6.94/5.08 tff(11647,plain,
% 6.94/5.08 ((~v102(constB98)) <=> v104(constB98)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11646, 694, 3966])).
% 6.94/5.08 tff(11648,plain,
% 6.94/5.08 (((~![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)))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11649,plain,
% 6.94/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97)))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11650,plain,
% 6.94/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v1(constB97))),
% 6.94/5.08 inference(modus_ponens,[status(thm)],[11649, 11648])).
% 6.94/5.08 tff(11651,plain,
% 6.94/5.08 (v104(constB98) <=> v1(constB97)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11650, 694, 3980])).
% 6.94/5.08 tff(11652,plain,
% 6.94/5.08 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98)) | v1(constB97)),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11653,plain,
% 6.94/5.08 ((~(v104(constB98) <=> v1(constB97))) | (~v104(constB98))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11652, 746])).
% 6.94/5.08 tff(11654,plain,
% 6.94/5.08 (~v104(constB98)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11653, 11651])).
% 6.94/5.08 tff(11655,plain,
% 6.94/5.08 ((~((~v102(constB98)) <=> v104(constB98))) | v102(constB98) | v104(constB98)),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11656,plain,
% 6.94/5.08 (v102(constB98)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11655, 11654, 11647])).
% 6.94/5.08 tff(11657,plain,
% 6.94/5.08 (v1(constB98) <=> v1(constB98)),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11658,axiom,(v1(constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_98')).
% 6.94/5.08 tff(11659,plain,
% 6.94/5.08 (v1(constB98)),
% 6.94/5.08 inference(modus_ponens,[status(thm)],[11658, 11657])).
% 6.94/5.08 tff(11660,plain,
% 6.94/5.08 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v1(constB98)) | (~v102(constB98))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11661,plain,
% 6.94/5.08 ((~((~v1(constB98)) | (~v102(constB98)))) | (~v102(constB98))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11660, 11659])).
% 6.94/5.08 tff(11662,plain,
% 6.94/5.08 (~((~v1(constB98)) | (~v102(constB98)))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11661, 11656])).
% 6.94/5.08 tff(11663,plain,
% 6.94/5.08 ((~(v101(constB98) <=> (~((~v1(constB98)) | (~v102(constB98)))))) | v101(constB98) | ((~v1(constB98)) | (~v102(constB98)))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11664,plain,
% 6.94/5.08 (v101(constB98)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11663, 11662, 11643])).
% 6.94/5.08 tff(11665,plain,
% 6.94/5.08 (((~![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)))),
% 6.94/5.08 inference(rewrite,[status(thm)],[])).
% 6.94/5.08 tff(11666,plain,
% 6.94/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97)))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11667,plain,
% 6.94/5.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB97, constB98)) | (v110(constB98) <=> v108(constB97))),
% 6.94/5.08 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 6.94/5.08 tff(11668,plain,
% 6.94/5.08 (v110(constB98) <=> v108(constB97)),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11667, 694, 4007])).
% 6.94/5.08 tff(11669,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB97) <=> (v111(constB97) | v112(constB97)))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11670,plain,
% 6.94/5.08 (v108(constB97) <=> (v111(constB97) | v112(constB97))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11669, 4018])).
% 6.94/5.08 tff(11671,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11672,plain,
% 6.94/5.08 (v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97))))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11671, 4030])).
% 6.94/5.08 tff(11673,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB97) <=> (v114(constB97) | v125(constB97)))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11674,plain,
% 6.94/5.08 (v113(constB97) <=> (v114(constB97) | v125(constB97))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11673, 4039])).
% 6.94/5.08 tff(11675,plain,
% 6.94/5.08 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB97) <=> (~(v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)))))),
% 6.94/5.08 inference(quant_inst,[status(thm)],[])).
% 6.94/5.08 tff(11676,plain,
% 6.94/5.08 (v125(constB97) <=> (~(v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2))))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11675, 5129])).
% 6.94/5.08 tff(11677,plain,
% 6.94/5.08 ((((~v90(constB97, bitIndex1)) <=> v90(constB96, bitIndex1)) | ((~v90(constB97, bitIndex2)) <=> v90(constB96, bitIndex2)) | ((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))) | (~((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11678,plain,
% 6.94/5.08 (~((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11677, 763])).
% 6.94/5.08 tff(11679,plain,
% 6.94/5.08 ((((~v129(constB96, bitIndex2)) <=> v127(constB95, bitIndex2)) | ((~v129(constB96, bitIndex1)) <=> v127(constB95, bitIndex1)) | ((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0))) | (~((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0)))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11680,plain,
% 6.94/5.08 (~((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11679, 772])).
% 6.94/5.08 tff(11681,plain,
% 6.94/5.08 ((((~v127(constB95, bitIndex2)) <=> v130(constB95, bitIndex2)) | ((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)) | ((~v127(constB95, bitIndex1)) <=> v130(constB95, bitIndex1))) | (~((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)))),
% 6.94/5.08 inference(tautology,[status(thm)],[])).
% 6.94/5.08 tff(11682,plain,
% 6.94/5.08 (~((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0))),
% 6.94/5.08 inference(unit_resolution,[status(thm)],[11681, 786])).
% 6.94/5.09 tff(11683,plain,
% 6.94/5.09 ((v130(constB95, bitIndex0) | (~v130(constB95, bitIndex2)) | (~v130(constB95, bitIndex1))) | (~v130(constB95, bitIndex0))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11684,plain,
% 6.94/5.09 (~v130(constB95, bitIndex0)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11683, 11454])).
% 6.94/5.09 tff(11685,plain,
% 6.94/5.09 (((~v127(constB95, bitIndex0)) <=> v130(constB95, bitIndex0)) | (~v127(constB95, bitIndex0)) | v130(constB95, bitIndex0)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11686,plain,
% 6.94/5.09 (~v127(constB95, bitIndex0)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11685, 11684, 11682])).
% 6.94/5.09 tff(11687,plain,
% 6.94/5.09 (((~v129(constB96, bitIndex0)) <=> v127(constB95, bitIndex0)) | (~v129(constB96, bitIndex0)) | v127(constB95, bitIndex0)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11688,plain,
% 6.94/5.09 (~v129(constB96, bitIndex0)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11687, 11686, 11680])).
% 6.94/5.09 tff(11689,plain,
% 6.94/5.09 ((((~v90(constB96, bitIndex2)) <=> v129(constB96, bitIndex2)) | ((~v90(constB96, bitIndex1)) <=> v129(constB96, bitIndex1)) | ((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))) | (~((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11690,plain,
% 6.94/5.09 (~((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11689, 11537])).
% 6.94/5.09 tff(11691,plain,
% 6.94/5.09 (((~v90(constB96, bitIndex0)) <=> v129(constB96, bitIndex0)) | (~v90(constB96, bitIndex0)) | v129(constB96, bitIndex0)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11692,plain,
% 6.94/5.09 (~v90(constB96, bitIndex0)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11691, 11690, 11688])).
% 6.94/5.09 tff(11693,plain,
% 6.94/5.09 (((~v90(constB97, bitIndex0)) <=> v90(constB96, bitIndex0)) | (~v90(constB97, bitIndex0)) | v90(constB96, bitIndex0)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11694,plain,
% 6.94/5.09 (~v90(constB97, bitIndex0)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11693, 11692, 11678])).
% 6.94/5.09 tff(11695,plain,
% 6.94/5.09 ((~(v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)))) | v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11696,plain,
% 6.94/5.09 (~(v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11695, 11572, 11694, 11543])).
% 6.94/5.09 tff(11697,plain,
% 6.94/5.09 ((~(v125(constB97) <=> (~(v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)))))) | v125(constB97) | (v90(constB97, bitIndex0) | (~v90(constB97, bitIndex1)) | (~v90(constB97, bitIndex2)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11698,plain,
% 6.94/5.09 (v125(constB97)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11697, 11696, 11676])).
% 6.94/5.09 tff(11699,plain,
% 6.94/5.09 ((v114(constB97) | v125(constB97)) | (~v125(constB97))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11700,plain,
% 6.94/5.09 (v114(constB97) | v125(constB97)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11699, 11698])).
% 6.94/5.09 tff(11701,plain,
% 6.94/5.09 ((~(v113(constB97) <=> (v114(constB97) | v125(constB97)))) | v113(constB97) | (~(v114(constB97) | v125(constB97)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11702,plain,
% 6.94/5.09 (v113(constB97)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11701, 11700, 11674])).
% 6.94/5.09 tff(11703,plain,
% 6.94/5.09 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB97)) <=> v111(constB97))),
% 6.94/5.09 inference(quant_inst,[status(thm)],[])).
% 6.94/5.09 tff(11704,plain,
% 6.94/5.09 ((~v126(constB97)) <=> v111(constB97)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11703, 4118])).
% 6.94/5.09 tff(11705,plain,
% 6.94/5.09 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97) | v111(constB97)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11706,plain,
% 6.94/5.09 ((~((~v126(constB97)) <=> v111(constB97))) | v126(constB97)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11705, 707])).
% 6.94/5.09 tff(11707,plain,
% 6.94/5.09 (v126(constB97)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11706, 11704])).
% 6.94/5.09 tff(11708,plain,
% 6.94/5.09 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97)) | (~v126(constB97))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11709,plain,
% 6.94/5.09 ((~((~v113(constB97)) | (~v126(constB97)))) | (~v113(constB97))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11708, 11707])).
% 6.94/5.09 tff(11710,plain,
% 6.94/5.09 (~((~v113(constB97)) | (~v126(constB97)))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11709, 11702])).
% 6.94/5.09 tff(11711,plain,
% 6.94/5.09 ((~(v112(constB97) <=> (~((~v113(constB97)) | (~v126(constB97)))))) | v112(constB97) | ((~v113(constB97)) | (~v126(constB97)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11712,plain,
% 6.94/5.09 (v112(constB97)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11711, 11710, 11672])).
% 6.94/5.09 tff(11713,plain,
% 6.94/5.09 ((v111(constB97) | v112(constB97)) | (~v112(constB97))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11714,plain,
% 6.94/5.09 (v111(constB97) | v112(constB97)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11713, 11712])).
% 6.94/5.09 tff(11715,plain,
% 6.94/5.09 ((~(v108(constB97) <=> (v111(constB97) | v112(constB97)))) | v108(constB97) | (~(v111(constB97) | v112(constB97)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11716,plain,
% 6.94/5.09 (v108(constB97)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11715, 11714, 11670])).
% 6.94/5.09 tff(11717,plain,
% 6.94/5.09 ((~(v110(constB98) <=> v108(constB97))) | v110(constB98) | (~v108(constB97))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11718,plain,
% 6.94/5.09 (v110(constB98)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11717, 11716, 11668])).
% 6.94/5.09 tff(11719,plain,
% 6.94/5.09 ((~((~v101(constB98)) | (~v110(constB98)))) | (~v101(constB98)) | (~v110(constB98))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11720,plain,
% 6.94/5.09 (~((~v101(constB98)) | (~v110(constB98)))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11719, 11718, 11664])).
% 6.94/5.09 tff(11721,plain,
% 6.94/5.09 ((~(v100(constB98) <=> (~((~v101(constB98)) | (~v110(constB98)))))) | v100(constB98) | ((~v101(constB98)) | (~v110(constB98)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11722,plain,
% 6.94/5.09 (v100(constB98)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11721, 11720, 11636])).
% 6.94/5.09 tff(11723,plain,
% 6.94/5.09 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.94/5.09 inference(rewrite,[status(thm)],[])).
% 6.94/5.09 tff(11724,plain,
% 6.94/5.09 (((~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)))))),
% 6.94/5.09 inference(rewrite,[status(thm)],[])).
% 6.94/5.09 tff(11725,plain,
% 6.94/5.09 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 6.94/5.09 inference(monotonicity,[status(thm)],[11724])).
% 6.94/5.09 tff(11726,plain,
% 6.94/5.09 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.94/5.09 inference(transitivity,[status(thm)],[11725, 11723])).
% 6.94/5.09 tff(11727,plain,
% 6.94/5.09 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB98)) | (~(((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)) | ((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)))))),
% 6.94/5.09 inference(quant_inst,[status(thm)],[])).
% 6.94/5.09 tff(11728,plain,
% 6.94/5.09 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB98)) | (~(((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))))),
% 6.94/5.09 inference(modus_ponens,[status(thm)],[11727, 11726])).
% 6.94/5.09 tff(11729,plain,
% 6.94/5.09 ((~v100(constB98)) | (~(((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11728, 4151])).
% 6.94/5.09 tff(11730,plain,
% 6.94/5.09 (~(((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11729, 11722])).
% 6.94/5.09 tff(11731,plain,
% 6.94/5.09 ((((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))) | (~((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11732,plain,
% 6.94/5.09 (~((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11731, 11730])).
% 6.94/5.09 tff(11733,plain,
% 6.94/5.09 (((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11734,plain,
% 6.94/5.09 (~v90(constB98, bitIndex2)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11733, 11732, 11632])).
% 6.94/5.09 tff(11735,plain,
% 6.94/5.09 (((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | (~v90(constB99, bitIndex2)) | v90(constB98, bitIndex2)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11736,plain,
% 6.94/5.09 (~v90(constB99, bitIndex2)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11735, 11734, 691])).
% 6.94/5.09 tff(11737,plain,
% 6.94/5.09 ((((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))) | (~((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11738,plain,
% 6.94/5.09 (~((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11737, 689])).
% 6.94/5.09 tff(11739,plain,
% 6.94/5.09 ((((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0))) | (~((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11740,plain,
% 6.94/5.09 (~((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11739, 698])).
% 6.94/5.09 tff(11741,plain,
% 6.94/5.09 ((((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1))) | (~((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11742,plain,
% 6.94/5.09 (~((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11741, 712])).
% 6.94/5.09 tff(11743,plain,
% 6.94/5.09 ((v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0))) | v130(constB97, bitIndex0)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11744,plain,
% 6.94/5.09 (v130(constB97, bitIndex0)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11743, 11626])).
% 6.94/5.09 tff(11745,plain,
% 6.94/5.09 (((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)) | v127(constB97, bitIndex0) | (~v130(constB97, bitIndex0))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11746,plain,
% 6.94/5.09 (v127(constB97, bitIndex0)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11745, 11744, 11742])).
% 6.94/5.09 tff(11747,plain,
% 6.94/5.09 (((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0)) | v129(constB98, bitIndex0) | (~v127(constB97, bitIndex0))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11748,plain,
% 6.94/5.09 (v129(constB98, bitIndex0)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11747, 11746, 11740])).
% 6.94/5.09 tff(11749,plain,
% 6.94/5.09 ((((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))) | (~((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11750,plain,
% 6.94/5.09 (~((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11749, 11730])).
% 6.94/5.09 tff(11751,plain,
% 6.94/5.09 (((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | v90(constB98, bitIndex0) | (~v129(constB98, bitIndex0))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11752,plain,
% 6.94/5.09 (v90(constB98, bitIndex0)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11751, 11750, 11748])).
% 6.94/5.09 tff(11753,plain,
% 6.94/5.09 (((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0)) | v90(constB99, bitIndex0) | (~v90(constB98, bitIndex0))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11754,plain,
% 6.94/5.09 (v90(constB99, bitIndex0)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11753, 11752, 11738])).
% 6.94/5.09 tff(11755,plain,
% 6.94/5.09 ((((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | ((~v90(constB99, bitIndex2)) <=> v90(constB98, bitIndex2)) | ((~v90(constB99, bitIndex0)) <=> v90(constB98, bitIndex0))) | (~((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11756,plain,
% 6.94/5.09 (~((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11755, 689])).
% 6.94/5.09 tff(11757,plain,
% 6.94/5.09 ((((~v129(constB98, bitIndex2)) <=> v127(constB97, bitIndex2)) | ((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | ((~v129(constB98, bitIndex0)) <=> v127(constB97, bitIndex0))) | (~((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11758,plain,
% 6.94/5.09 (~((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11757, 698])).
% 6.94/5.09 tff(11759,plain,
% 6.94/5.09 ((((~v127(constB97, bitIndex2)) <=> v130(constB97, bitIndex2)) | ((~v127(constB97, bitIndex0)) <=> v130(constB97, bitIndex0)) | ((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1))) | (~((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11760,plain,
% 6.94/5.09 (~((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11759, 712])).
% 6.94/5.09 tff(11761,plain,
% 6.94/5.09 ((v130(constB97, bitIndex2) | v130(constB97, bitIndex1) | (~v130(constB97, bitIndex0))) | (~v130(constB97, bitIndex1))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11762,plain,
% 6.94/5.09 (~v130(constB97, bitIndex1)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11761, 11626])).
% 6.94/5.09 tff(11763,plain,
% 6.94/5.09 (((~v127(constB97, bitIndex1)) <=> v130(constB97, bitIndex1)) | (~v127(constB97, bitIndex1)) | v130(constB97, bitIndex1)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11764,plain,
% 6.94/5.09 (~v127(constB97, bitIndex1)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11763, 11762, 11760])).
% 6.94/5.09 tff(11765,plain,
% 6.94/5.09 (((~v129(constB98, bitIndex1)) <=> v127(constB97, bitIndex1)) | (~v129(constB98, bitIndex1)) | v127(constB97, bitIndex1)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11766,plain,
% 6.94/5.09 (~v129(constB98, bitIndex1)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11765, 11764, 11758])).
% 6.94/5.09 tff(11767,plain,
% 6.94/5.09 ((((~v90(constB98, bitIndex0)) <=> v129(constB98, bitIndex0)) | ((~v90(constB98, bitIndex2)) <=> v129(constB98, bitIndex2)) | ((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))) | (~((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11768,plain,
% 6.94/5.09 (~((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11767, 11730])).
% 6.94/5.09 tff(11769,plain,
% 6.94/5.09 (((~v90(constB98, bitIndex1)) <=> v129(constB98, bitIndex1)) | (~v90(constB98, bitIndex1)) | v129(constB98, bitIndex1)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11770,plain,
% 6.94/5.09 (~v90(constB98, bitIndex1)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11769, 11768, 11766])).
% 6.94/5.09 tff(11771,plain,
% 6.94/5.09 (((~v90(constB99, bitIndex1)) <=> v90(constB98, bitIndex1)) | (~v90(constB99, bitIndex1)) | v90(constB98, bitIndex1)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11772,plain,
% 6.94/5.09 (~v90(constB99, bitIndex1)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11771, 11770, 11756])).
% 6.94/5.09 tff(11773,plain,
% 6.94/5.09 ((~(v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0)))) | v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11774,plain,
% 6.94/5.09 (~(v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0)))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11773, 11772, 11754, 11736])).
% 6.94/5.09 tff(11775,plain,
% 6.94/5.09 ((~(v120(constB99) <=> (~(v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0)))))) | v120(constB99) | (v90(constB99, bitIndex1) | v90(constB99, bitIndex2) | (~v90(constB99, bitIndex0)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11776,plain,
% 6.94/5.09 (v120(constB99)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11775, 11774, 655])).
% 6.94/5.09 tff(11777,plain,
% 6.94/5.09 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB99)) | (~(v130(constB99, bitIndex2) | v130(constB99, bitIndex0) | (~v130(constB99, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB99)) | (~(v130(constB99, bitIndex2) | v130(constB99, bitIndex0) | (~v130(constB99, bitIndex1)))))),
% 6.94/5.09 inference(rewrite,[status(thm)],[])).
% 6.94/5.09 tff(11778,plain,
% 6.94/5.09 (((~v120(constB99)) | (~(v130(constB99, bitIndex0) | v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1))))) <=> ((~v120(constB99)) | (~(v130(constB99, bitIndex2) | v130(constB99, bitIndex0) | (~v130(constB99, bitIndex1)))))),
% 6.94/5.09 inference(rewrite,[status(thm)],[])).
% 6.94/5.09 tff(11779,plain,
% 6.94/5.09 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB99)) | (~(v130(constB99, bitIndex0) | v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB99)) | (~(v130(constB99, bitIndex2) | v130(constB99, bitIndex0) | (~v130(constB99, bitIndex1))))))),
% 6.94/5.09 inference(monotonicity,[status(thm)],[11778])).
% 6.94/5.09 tff(11780,plain,
% 6.94/5.09 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB99)) | (~(v130(constB99, bitIndex0) | v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB99)) | (~(v130(constB99, bitIndex2) | v130(constB99, bitIndex0) | (~v130(constB99, bitIndex1)))))),
% 6.94/5.09 inference(transitivity,[status(thm)],[11779, 11777])).
% 6.94/5.09 tff(11781,plain,
% 6.94/5.09 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB99)) | (~(v130(constB99, bitIndex0) | v130(constB99, bitIndex2) | (~v130(constB99, bitIndex1)))))),
% 6.94/5.09 inference(quant_inst,[status(thm)],[])).
% 6.94/5.09 tff(11782,plain,
% 6.94/5.09 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB99)) | (~(v130(constB99, bitIndex2) | v130(constB99, bitIndex0) | (~v130(constB99, bitIndex1))))),
% 6.94/5.09 inference(modus_ponens,[status(thm)],[11781, 11780])).
% 6.94/5.09 tff(11783,plain,
% 6.94/5.09 ((~v120(constB99)) | (~(v130(constB99, bitIndex2) | v130(constB99, bitIndex0) | (~v130(constB99, bitIndex1))))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11782, 4218])).
% 6.94/5.09 tff(11784,plain,
% 6.94/5.09 (~(v130(constB99, bitIndex2) | v130(constB99, bitIndex0) | (~v130(constB99, bitIndex1)))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11783, 11776])).
% 6.94/5.09 tff(11785,plain,
% 6.94/5.09 ((v130(constB99, bitIndex2) | v130(constB99, bitIndex0) | (~v130(constB99, bitIndex1))) | (~v130(constB99, bitIndex2))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11786,plain,
% 6.94/5.09 (~v130(constB99, bitIndex2)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11785, 11784])).
% 6.94/5.09 tff(11787,plain,
% 6.94/5.09 (((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | (~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11788,plain,
% 6.94/5.09 (~v127(constB99, bitIndex2)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11787, 11786, 640])).
% 6.94/5.09 tff(11789,plain,
% 6.94/5.09 (((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | (~v129(constB100, bitIndex2)) | v127(constB99, bitIndex2)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11790,plain,
% 6.94/5.09 (~v129(constB100, bitIndex2)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11789, 11788, 626])).
% 6.94/5.09 tff(11791,plain,
% 6.94/5.09 (((~![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))))))),
% 6.94/5.09 inference(rewrite,[status(thm)],[])).
% 6.94/5.09 tff(11792,plain,
% 6.94/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))))),
% 6.94/5.09 inference(quant_inst,[status(thm)],[])).
% 6.94/5.09 tff(11793,plain,
% 6.94/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB99, constB100)) | (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))),
% 6.94/5.09 inference(modus_ponens,[status(thm)],[11792, 11791])).
% 6.94/5.09 tff(11794,plain,
% 6.94/5.09 (v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100))))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11793, 620, 433])).
% 6.94/5.09 tff(11795,plain,
% 6.94/5.09 (((~![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))))))),
% 6.94/5.09 inference(rewrite,[status(thm)],[])).
% 6.94/5.09 tff(11796,plain,
% 6.94/5.09 (((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100)))))) <=> ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))))),
% 6.94/5.09 inference(rewrite,[status(thm)],[])).
% 6.94/5.09 tff(11797,plain,
% 6.94/5.09 (((~![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)))))))),
% 6.94/5.09 inference(monotonicity,[status(thm)],[11796])).
% 6.94/5.09 tff(11798,plain,
% 6.94/5.09 (((~![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))))))),
% 6.94/5.09 inference(transitivity,[status(thm)],[11797, 11795])).
% 6.94/5.09 tff(11799,plain,
% 6.94/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v102(constB100)) | (~v1(constB100))))))),
% 6.94/5.09 inference(quant_inst,[status(thm)],[])).
% 6.94/5.09 tff(11800,plain,
% 6.94/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))),
% 6.94/5.09 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 6.94/5.09 tff(11801,plain,
% 6.94/5.09 (v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100))))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11800, 620, 453])).
% 6.94/5.09 tff(11802,plain,
% 6.94/5.09 (((~![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)))),
% 6.94/5.09 inference(rewrite,[status(thm)],[])).
% 6.94/5.09 tff(11803,plain,
% 6.94/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100)))),
% 6.94/5.09 inference(quant_inst,[status(thm)],[])).
% 6.94/5.09 tff(11804,plain,
% 6.94/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB99, constB100)) | ((~v102(constB100)) <=> v104(constB100))),
% 6.94/5.09 inference(modus_ponens,[status(thm)],[11803, 11802])).
% 6.94/5.09 tff(11805,plain,
% 6.94/5.09 ((~v102(constB100)) <=> v104(constB100)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11804, 620, 3966])).
% 6.94/5.09 tff(11806,plain,
% 6.94/5.09 (((~![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)))),
% 6.94/5.09 inference(rewrite,[status(thm)],[])).
% 6.94/5.09 tff(11807,plain,
% 6.94/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99)))),
% 6.94/5.09 inference(quant_inst,[status(thm)],[])).
% 6.94/5.09 tff(11808,plain,
% 6.94/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v1(constB99))),
% 6.94/5.09 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 6.94/5.09 tff(11809,plain,
% 6.94/5.09 (v104(constB100) <=> v1(constB99)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11808, 620, 3980])).
% 6.94/5.09 tff(11810,plain,
% 6.94/5.09 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100)) | v1(constB99)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11811,plain,
% 6.94/5.09 ((~(v104(constB100) <=> v1(constB99))) | (~v104(constB100))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11810, 672])).
% 6.94/5.09 tff(11812,plain,
% 6.94/5.09 (~v104(constB100)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11811, 11809])).
% 6.94/5.09 tff(11813,plain,
% 6.94/5.09 ((~((~v102(constB100)) <=> v104(constB100))) | v102(constB100) | v104(constB100)),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11814,plain,
% 6.94/5.09 (v102(constB100)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11813, 11812, 11805])).
% 6.94/5.09 tff(11815,plain,
% 6.94/5.09 (v1(constB100) <=> v1(constB100)),
% 6.94/5.09 inference(rewrite,[status(thm)],[])).
% 6.94/5.09 tff(11816,axiom,(v1(constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_100')).
% 6.94/5.09 tff(11817,plain,
% 6.94/5.09 (v1(constB100)),
% 6.94/5.09 inference(modus_ponens,[status(thm)],[11816, 11815])).
% 6.94/5.09 tff(11818,plain,
% 6.94/5.09 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v1(constB100)) | (~v102(constB100))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11819,plain,
% 6.94/5.09 ((~((~v1(constB100)) | (~v102(constB100)))) | (~v102(constB100))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11818, 11817])).
% 6.94/5.09 tff(11820,plain,
% 6.94/5.09 (~((~v1(constB100)) | (~v102(constB100)))),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11819, 11814])).
% 6.94/5.09 tff(11821,plain,
% 6.94/5.09 ((~(v101(constB100) <=> (~((~v1(constB100)) | (~v102(constB100)))))) | v101(constB100) | ((~v1(constB100)) | (~v102(constB100)))),
% 6.94/5.09 inference(tautology,[status(thm)],[])).
% 6.94/5.09 tff(11822,plain,
% 6.94/5.09 (v101(constB100)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11821, 11820, 11801])).
% 6.94/5.09 tff(11823,plain,
% 6.94/5.09 (((~![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)))),
% 6.94/5.09 inference(rewrite,[status(thm)],[])).
% 6.94/5.09 tff(11824,plain,
% 6.94/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99)))),
% 6.94/5.09 inference(quant_inst,[status(thm)],[])).
% 6.94/5.09 tff(11825,plain,
% 6.94/5.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB99, constB100)) | (v110(constB100) <=> v108(constB99))),
% 6.94/5.09 inference(modus_ponens,[status(thm)],[11824, 11823])).
% 6.94/5.09 tff(11826,plain,
% 6.94/5.09 (v110(constB100) <=> v108(constB99)),
% 6.94/5.09 inference(unit_resolution,[status(thm)],[11825, 620, 4007])).
% 6.94/5.09 tff(11827,plain,
% 6.94/5.09 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB99) <=> (v111(constB99) | v112(constB99)))),
% 6.94/5.09 inference(quant_inst,[status(thm)],[])).
% 6.94/5.09 tff(11828,plain,
% 6.94/5.09 (v108(constB99) <=> (v111(constB99) | v112(constB99))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11827, 4018])).
% 6.94/5.10 tff(11829,plain,
% 6.94/5.10 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11830,plain,
% 6.94/5.10 (v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99))))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11829, 4030])).
% 6.94/5.10 tff(11831,plain,
% 6.94/5.10 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB99) <=> (v114(constB99) | v125(constB99)))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11832,plain,
% 6.94/5.10 (v113(constB99) <=> (v114(constB99) | v125(constB99))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11831, 4039])).
% 6.94/5.10 tff(11833,plain,
% 6.94/5.10 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB99) <=> (v115(constB99) | v124(constB99)))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11834,plain,
% 6.94/5.10 (v114(constB99) <=> (v115(constB99) | v124(constB99))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11833, 4048])).
% 6.94/5.10 tff(11835,plain,
% 6.94/5.10 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB99) <=> (v116(constB99) | v123(constB99)))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11836,plain,
% 6.94/5.10 (v115(constB99) <=> (v116(constB99) | v123(constB99))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11835, 4057])).
% 6.94/5.10 tff(11837,plain,
% 6.94/5.10 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB99) <=> (v117(constB99) | v122(constB99)))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11838,plain,
% 6.94/5.10 (v116(constB99) <=> (v117(constB99) | v122(constB99))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11837, 4066])).
% 6.94/5.10 tff(11839,plain,
% 6.94/5.10 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB99) <=> (v118(constB99) | v121(constB99)))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11840,plain,
% 6.94/5.10 (v117(constB99) <=> (v118(constB99) | v121(constB99))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11839, 4075])).
% 6.94/5.10 tff(11841,plain,
% 6.94/5.10 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB99) <=> (v119(constB99) | v120(constB99)))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11842,plain,
% 6.94/5.10 (v118(constB99) <=> (v119(constB99) | v120(constB99))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11841, 4084])).
% 6.94/5.10 tff(11843,plain,
% 6.94/5.10 ((v119(constB99) | v120(constB99)) | (~v120(constB99))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11844,plain,
% 6.94/5.10 (v119(constB99) | v120(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11843, 11776])).
% 6.94/5.10 tff(11845,plain,
% 6.94/5.10 ((~(v118(constB99) <=> (v119(constB99) | v120(constB99)))) | v118(constB99) | (~(v119(constB99) | v120(constB99)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11846,plain,
% 6.94/5.10 (v118(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11845, 11844, 11842])).
% 6.94/5.10 tff(11847,plain,
% 6.94/5.10 ((v118(constB99) | v121(constB99)) | (~v118(constB99))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11848,plain,
% 6.94/5.10 (v118(constB99) | v121(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11847, 11846])).
% 6.94/5.10 tff(11849,plain,
% 6.94/5.10 ((~(v117(constB99) <=> (v118(constB99) | v121(constB99)))) | v117(constB99) | (~(v118(constB99) | v121(constB99)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11850,plain,
% 6.94/5.10 (v117(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11849, 11848, 11840])).
% 6.94/5.10 tff(11851,plain,
% 6.94/5.10 ((v117(constB99) | v122(constB99)) | (~v117(constB99))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11852,plain,
% 6.94/5.10 (v117(constB99) | v122(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11851, 11850])).
% 6.94/5.10 tff(11853,plain,
% 6.94/5.10 ((~(v116(constB99) <=> (v117(constB99) | v122(constB99)))) | v116(constB99) | (~(v117(constB99) | v122(constB99)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11854,plain,
% 6.94/5.10 (v116(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11853, 11852, 11838])).
% 6.94/5.10 tff(11855,plain,
% 6.94/5.10 ((v116(constB99) | v123(constB99)) | (~v116(constB99))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11856,plain,
% 6.94/5.10 (v116(constB99) | v123(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11855, 11854])).
% 6.94/5.10 tff(11857,plain,
% 6.94/5.10 ((~(v115(constB99) <=> (v116(constB99) | v123(constB99)))) | v115(constB99) | (~(v116(constB99) | v123(constB99)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11858,plain,
% 6.94/5.10 (v115(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11857, 11856, 11836])).
% 6.94/5.10 tff(11859,plain,
% 6.94/5.10 ((v115(constB99) | v124(constB99)) | (~v115(constB99))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11860,plain,
% 6.94/5.10 (v115(constB99) | v124(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11859, 11858])).
% 6.94/5.10 tff(11861,plain,
% 6.94/5.10 ((~(v114(constB99) <=> (v115(constB99) | v124(constB99)))) | v114(constB99) | (~(v115(constB99) | v124(constB99)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11862,plain,
% 6.94/5.10 (v114(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11861, 11860, 11834])).
% 6.94/5.10 tff(11863,plain,
% 6.94/5.10 ((v114(constB99) | v125(constB99)) | (~v114(constB99))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11864,plain,
% 6.94/5.10 (v114(constB99) | v125(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11863, 11862])).
% 6.94/5.10 tff(11865,plain,
% 6.94/5.10 ((~(v113(constB99) <=> (v114(constB99) | v125(constB99)))) | v113(constB99) | (~(v114(constB99) | v125(constB99)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11866,plain,
% 6.94/5.10 (v113(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11865, 11864, 11832])).
% 6.94/5.10 tff(11867,plain,
% 6.94/5.10 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB99)) <=> v111(constB99))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11868,plain,
% 6.94/5.10 ((~v126(constB99)) <=> v111(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11867, 4118])).
% 6.94/5.10 tff(11869,plain,
% 6.94/5.10 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99) | v111(constB99)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11870,plain,
% 6.94/5.10 ((~((~v126(constB99)) <=> v111(constB99))) | v126(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11869, 633])).
% 6.94/5.10 tff(11871,plain,
% 6.94/5.10 (v126(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11870, 11868])).
% 6.94/5.10 tff(11872,plain,
% 6.94/5.10 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99)) | (~v126(constB99))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11873,plain,
% 6.94/5.10 ((~((~v113(constB99)) | (~v126(constB99)))) | (~v113(constB99))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11872, 11871])).
% 6.94/5.10 tff(11874,plain,
% 6.94/5.10 (~((~v113(constB99)) | (~v126(constB99)))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11873, 11866])).
% 6.94/5.10 tff(11875,plain,
% 6.94/5.10 ((~(v112(constB99) <=> (~((~v113(constB99)) | (~v126(constB99)))))) | v112(constB99) | ((~v113(constB99)) | (~v126(constB99)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11876,plain,
% 6.94/5.10 (v112(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11875, 11874, 11830])).
% 6.94/5.10 tff(11877,plain,
% 6.94/5.10 ((v111(constB99) | v112(constB99)) | (~v112(constB99))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11878,plain,
% 6.94/5.10 (v111(constB99) | v112(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11877, 11876])).
% 6.94/5.10 tff(11879,plain,
% 6.94/5.10 ((~(v108(constB99) <=> (v111(constB99) | v112(constB99)))) | v108(constB99) | (~(v111(constB99) | v112(constB99)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11880,plain,
% 6.94/5.10 (v108(constB99)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11879, 11878, 11828])).
% 6.94/5.10 tff(11881,plain,
% 6.94/5.10 ((~(v110(constB100) <=> v108(constB99))) | v110(constB100) | (~v108(constB99))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11882,plain,
% 6.94/5.10 (v110(constB100)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11881, 11880, 11826])).
% 6.94/5.10 tff(11883,plain,
% 6.94/5.10 ((~((~v101(constB100)) | (~v110(constB100)))) | (~v101(constB100)) | (~v110(constB100))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11884,plain,
% 6.94/5.10 (~((~v101(constB100)) | (~v110(constB100)))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11883, 11882, 11822])).
% 6.94/5.10 tff(11885,plain,
% 6.94/5.10 ((~(v100(constB100) <=> (~((~v101(constB100)) | (~v110(constB100)))))) | v100(constB100) | ((~v101(constB100)) | (~v110(constB100)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11886,plain,
% 6.94/5.10 (v100(constB100)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11885, 11884, 11794])).
% 6.94/5.10 tff(11887,plain,
% 6.94/5.10 (((~![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)))))),
% 6.94/5.10 inference(rewrite,[status(thm)],[])).
% 6.94/5.10 tff(11888,plain,
% 6.94/5.10 ((~![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)))))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11889,plain,
% 6.94/5.10 ((~![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))))),
% 6.94/5.10 inference(modus_ponens,[status(thm)],[11888, 11887])).
% 6.94/5.10 tff(11890,plain,
% 6.94/5.10 ((~v100(constB100)) | (~(((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0))))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11889, 4151])).
% 6.94/5.10 tff(11891,plain,
% 6.94/5.10 (~(((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0)))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11890, 11886])).
% 6.94/5.10 tff(11892,plain,
% 6.94/5.10 ((((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0))) | (~((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11893,plain,
% 6.94/5.10 (~((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11892, 11891])).
% 6.94/5.10 tff(11894,plain,
% 6.94/5.10 (((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11895,plain,
% 6.94/5.10 (~v90(constB100, bitIndex2)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11894, 11893, 11790])).
% 6.94/5.10 tff(11896,plain,
% 6.94/5.10 (((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | (~v90(constB101, bitIndex2)) | v90(constB100, bitIndex2)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11897,plain,
% 6.94/5.10 (~v90(constB101, bitIndex2)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11896, 11895, 617])).
% 6.94/5.10 tff(11898,plain,
% 6.94/5.10 ((((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))) | (~((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11899,plain,
% 6.94/5.10 (~((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11898, 615])).
% 6.94/5.10 tff(11900,plain,
% 6.94/5.10 ((((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0))) | (~((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11901,plain,
% 6.94/5.10 (~((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11900, 624])).
% 6.94/5.10 tff(11902,plain,
% 6.94/5.10 ((((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1))) | (~((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11903,plain,
% 6.94/5.10 (~((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11902, 638])).
% 6.94/5.10 tff(11904,plain,
% 6.94/5.10 ((v130(constB99, bitIndex2) | v130(constB99, bitIndex0) | (~v130(constB99, bitIndex1))) | (~v130(constB99, bitIndex0))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11905,plain,
% 6.94/5.10 (~v130(constB99, bitIndex0)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11904, 11784])).
% 6.94/5.10 tff(11906,plain,
% 6.94/5.10 (((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)) | (~v127(constB99, bitIndex0)) | v130(constB99, bitIndex0)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11907,plain,
% 6.94/5.10 (~v127(constB99, bitIndex0)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11906, 11905, 11903])).
% 6.94/5.10 tff(11908,plain,
% 6.94/5.10 (((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0)) | (~v129(constB100, bitIndex0)) | v127(constB99, bitIndex0)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11909,plain,
% 6.94/5.10 (~v129(constB100, bitIndex0)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11908, 11907, 11901])).
% 6.94/5.10 tff(11910,plain,
% 6.94/5.10 ((((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0))) | (~((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11911,plain,
% 6.94/5.10 (~((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11910, 11891])).
% 6.94/5.10 tff(11912,plain,
% 6.94/5.10 (((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0)) | (~v90(constB100, bitIndex0)) | v129(constB100, bitIndex0)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11913,plain,
% 6.94/5.10 (~v90(constB100, bitIndex0)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11912, 11911, 11909])).
% 6.94/5.10 tff(11914,plain,
% 6.94/5.10 (((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0)) | (~v90(constB101, bitIndex0)) | v90(constB100, bitIndex0)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11915,plain,
% 6.94/5.10 (~v90(constB101, bitIndex0)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11914, 11913, 11899])).
% 6.94/5.10 tff(11916,plain,
% 6.94/5.10 ((((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | ((~v90(constB101, bitIndex2)) <=> v90(constB100, bitIndex2)) | ((~v90(constB101, bitIndex0)) <=> v90(constB100, bitIndex0))) | (~((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11917,plain,
% 6.94/5.10 (~((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11916, 615])).
% 6.94/5.10 tff(11918,plain,
% 6.94/5.10 ((((~v129(constB100, bitIndex2)) <=> v127(constB99, bitIndex2)) | ((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | ((~v129(constB100, bitIndex0)) <=> v127(constB99, bitIndex0))) | (~((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11919,plain,
% 6.94/5.10 (~((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11918, 624])).
% 6.94/5.10 tff(11920,plain,
% 6.94/5.10 ((((~v127(constB99, bitIndex2)) <=> v130(constB99, bitIndex2)) | ((~v127(constB99, bitIndex0)) <=> v130(constB99, bitIndex0)) | ((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1))) | (~((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11921,plain,
% 6.94/5.10 (~((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11920, 638])).
% 6.94/5.10 tff(11922,plain,
% 6.94/5.10 ((v130(constB99, bitIndex2) | v130(constB99, bitIndex0) | (~v130(constB99, bitIndex1))) | v130(constB99, bitIndex1)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11923,plain,
% 6.94/5.10 (v130(constB99, bitIndex1)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11922, 11784])).
% 6.94/5.10 tff(11924,plain,
% 6.94/5.10 (((~v127(constB99, bitIndex1)) <=> v130(constB99, bitIndex1)) | v127(constB99, bitIndex1) | (~v130(constB99, bitIndex1))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11925,plain,
% 6.94/5.10 (v127(constB99, bitIndex1)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11924, 11923, 11921])).
% 6.94/5.10 tff(11926,plain,
% 6.94/5.10 (((~v129(constB100, bitIndex1)) <=> v127(constB99, bitIndex1)) | v129(constB100, bitIndex1) | (~v127(constB99, bitIndex1))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11927,plain,
% 6.94/5.10 (v129(constB100, bitIndex1)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11926, 11925, 11919])).
% 6.94/5.10 tff(11928,plain,
% 6.94/5.10 ((((~v90(constB100, bitIndex2)) <=> v129(constB100, bitIndex2)) | ((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | ((~v90(constB100, bitIndex0)) <=> v129(constB100, bitIndex0))) | (~((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11929,plain,
% 6.94/5.10 (~((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11928, 11891])).
% 6.94/5.10 tff(11930,plain,
% 6.94/5.10 (((~v90(constB100, bitIndex1)) <=> v129(constB100, bitIndex1)) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11931,plain,
% 6.94/5.10 (v90(constB100, bitIndex1)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11930, 11929, 11927])).
% 6.94/5.10 tff(11932,plain,
% 6.94/5.10 (((~v90(constB101, bitIndex1)) <=> v90(constB100, bitIndex1)) | v90(constB101, bitIndex1) | (~v90(constB100, bitIndex1))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11933,plain,
% 6.94/5.10 (v90(constB101, bitIndex1)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11932, 11931, 11917])).
% 6.94/5.10 tff(11934,plain,
% 6.94/5.10 ((~(v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)))) | v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11935,plain,
% 6.94/5.10 (~(v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11934, 11933, 11915, 11897])).
% 6.94/5.10 tff(11936,plain,
% 6.94/5.10 ((~(v121(constB101) <=> (~(v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)))))) | v121(constB101) | (v90(constB101, bitIndex2) | v90(constB101, bitIndex0) | (~v90(constB101, bitIndex1)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11937,plain,
% 6.94/5.10 (v121(constB101)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11936, 11935, 581])).
% 6.94/5.10 tff(11938,plain,
% 6.94/5.10 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB101)) | (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex0)) | (~v130(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB101)) | (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex0)) | (~v130(constB101, bitIndex1)))))),
% 6.94/5.10 inference(rewrite,[status(thm)],[])).
% 6.94/5.10 tff(11939,plain,
% 6.94/5.10 (((~v121(constB101)) | (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex1)) | (~v130(constB101, bitIndex0))))) <=> ((~v121(constB101)) | (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex0)) | (~v130(constB101, bitIndex1)))))),
% 6.94/5.10 inference(rewrite,[status(thm)],[])).
% 6.94/5.10 tff(11940,plain,
% 6.94/5.10 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB101)) | (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex1)) | (~v130(constB101, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB101)) | (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex0)) | (~v130(constB101, bitIndex1))))))),
% 6.94/5.10 inference(monotonicity,[status(thm)],[11939])).
% 6.94/5.10 tff(11941,plain,
% 6.94/5.10 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB101)) | (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex1)) | (~v130(constB101, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB101)) | (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex0)) | (~v130(constB101, bitIndex1)))))),
% 6.94/5.10 inference(transitivity,[status(thm)],[11940, 11938])).
% 6.94/5.10 tff(11942,plain,
% 6.94/5.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB101)) | (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex1)) | (~v130(constB101, bitIndex0)))))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11943,plain,
% 6.94/5.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB101)) | (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex0)) | (~v130(constB101, bitIndex1))))),
% 6.94/5.10 inference(modus_ponens,[status(thm)],[11942, 11941])).
% 6.94/5.10 tff(11944,plain,
% 6.94/5.10 ((~v121(constB101)) | (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex0)) | (~v130(constB101, bitIndex1))))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11943, 4392])).
% 6.94/5.10 tff(11945,plain,
% 6.94/5.10 (~(v130(constB101, bitIndex2) | (~v130(constB101, bitIndex0)) | (~v130(constB101, bitIndex1)))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11944, 11937])).
% 6.94/5.10 tff(11946,plain,
% 6.94/5.10 ((v130(constB101, bitIndex2) | (~v130(constB101, bitIndex0)) | (~v130(constB101, bitIndex1))) | (~v130(constB101, bitIndex2))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11947,plain,
% 6.94/5.10 (~v130(constB101, bitIndex2)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11946, 11945])).
% 6.94/5.10 tff(11948,plain,
% 6.94/5.10 (((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | (~v127(constB101, bitIndex2)) | v130(constB101, bitIndex2)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11949,plain,
% 6.94/5.10 (~v127(constB101, bitIndex2)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11948, 11947, 561])).
% 6.94/5.10 tff(11950,plain,
% 6.94/5.10 (((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | (~v129(constB102, bitIndex2)) | v127(constB101, bitIndex2)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11951,plain,
% 6.94/5.10 (~v129(constB102, bitIndex2)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11950, 11949, 514])).
% 6.94/5.10 tff(11952,plain,
% 6.94/5.10 (((~![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))))))),
% 6.94/5.10 inference(rewrite,[status(thm)],[])).
% 6.94/5.10 tff(11953,plain,
% 6.94/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11954,plain,
% 6.94/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB101, constB102)) | (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))),
% 6.94/5.10 inference(modus_ponens,[status(thm)],[11953, 11952])).
% 6.94/5.10 tff(11955,plain,
% 6.94/5.10 (v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102))))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11954, 508, 433])).
% 6.94/5.10 tff(11956,plain,
% 6.94/5.10 (((~![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))))))),
% 6.94/5.10 inference(rewrite,[status(thm)],[])).
% 6.94/5.10 tff(11957,plain,
% 6.94/5.10 (((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102)))))) <=> ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))))),
% 6.94/5.10 inference(rewrite,[status(thm)],[])).
% 6.94/5.10 tff(11958,plain,
% 6.94/5.10 (((~![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)))))))),
% 6.94/5.10 inference(monotonicity,[status(thm)],[11957])).
% 6.94/5.10 tff(11959,plain,
% 6.94/5.10 (((~![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))))))),
% 6.94/5.10 inference(transitivity,[status(thm)],[11958, 11956])).
% 6.94/5.10 tff(11960,plain,
% 6.94/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v102(constB102)) | (~v1(constB102))))))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11961,plain,
% 6.94/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))),
% 6.94/5.10 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 6.94/5.10 tff(11962,plain,
% 6.94/5.10 (v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102))))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11961, 508, 453])).
% 6.94/5.10 tff(11963,plain,
% 6.94/5.10 (((~![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)))),
% 6.94/5.10 inference(rewrite,[status(thm)],[])).
% 6.94/5.10 tff(11964,plain,
% 6.94/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102)))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11965,plain,
% 6.94/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB101, constB102)) | ((~v102(constB102)) <=> v104(constB102))),
% 6.94/5.10 inference(modus_ponens,[status(thm)],[11964, 11963])).
% 6.94/5.10 tff(11966,plain,
% 6.94/5.10 ((~v102(constB102)) <=> v104(constB102)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11965, 508, 3966])).
% 6.94/5.10 tff(11967,plain,
% 6.94/5.10 (((~![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)))),
% 6.94/5.10 inference(rewrite,[status(thm)],[])).
% 6.94/5.10 tff(11968,plain,
% 6.94/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101)))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11969,plain,
% 6.94/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v1(constB101))),
% 6.94/5.10 inference(modus_ponens,[status(thm)],[11968, 11967])).
% 6.94/5.10 tff(11970,plain,
% 6.94/5.10 (v104(constB102) <=> v1(constB101)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11969, 508, 3980])).
% 6.94/5.10 tff(11971,plain,
% 6.94/5.10 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102)) | v1(constB101)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11972,plain,
% 6.94/5.10 ((~(v104(constB102) <=> v1(constB101))) | (~v104(constB102))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11971, 598])).
% 6.94/5.10 tff(11973,plain,
% 6.94/5.10 (~v104(constB102)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11972, 11970])).
% 6.94/5.10 tff(11974,plain,
% 6.94/5.10 ((~((~v102(constB102)) <=> v104(constB102))) | v102(constB102) | v104(constB102)),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11975,plain,
% 6.94/5.10 (v102(constB102)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11974, 11973, 11966])).
% 6.94/5.10 tff(11976,plain,
% 6.94/5.10 (v1(constB102) <=> v1(constB102)),
% 6.94/5.10 inference(rewrite,[status(thm)],[])).
% 6.94/5.10 tff(11977,axiom,(v1(constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_102')).
% 6.94/5.10 tff(11978,plain,
% 6.94/5.10 (v1(constB102)),
% 6.94/5.10 inference(modus_ponens,[status(thm)],[11977, 11976])).
% 6.94/5.10 tff(11979,plain,
% 6.94/5.10 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v1(constB102)) | (~v102(constB102))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11980,plain,
% 6.94/5.10 ((~((~v1(constB102)) | (~v102(constB102)))) | (~v102(constB102))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11979, 11978])).
% 6.94/5.10 tff(11981,plain,
% 6.94/5.10 (~((~v1(constB102)) | (~v102(constB102)))),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11980, 11975])).
% 6.94/5.10 tff(11982,plain,
% 6.94/5.10 ((~(v101(constB102) <=> (~((~v1(constB102)) | (~v102(constB102)))))) | v101(constB102) | ((~v1(constB102)) | (~v102(constB102)))),
% 6.94/5.10 inference(tautology,[status(thm)],[])).
% 6.94/5.10 tff(11983,plain,
% 6.94/5.10 (v101(constB102)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11982, 11981, 11962])).
% 6.94/5.10 tff(11984,plain,
% 6.94/5.10 (((~![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)))),
% 6.94/5.10 inference(rewrite,[status(thm)],[])).
% 6.94/5.10 tff(11985,plain,
% 6.94/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101)))),
% 6.94/5.10 inference(quant_inst,[status(thm)],[])).
% 6.94/5.10 tff(11986,plain,
% 6.94/5.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB101, constB102)) | (v110(constB102) <=> v108(constB101))),
% 6.94/5.10 inference(modus_ponens,[status(thm)],[11985, 11984])).
% 6.94/5.10 tff(11987,plain,
% 6.94/5.10 (v110(constB102) <=> v108(constB101)),
% 6.94/5.10 inference(unit_resolution,[status(thm)],[11986, 508, 4007])).
% 6.94/5.10 tff(11988,plain,
% 6.94/5.11 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB101) <=> (v111(constB101) | v112(constB101)))),
% 6.94/5.11 inference(quant_inst,[status(thm)],[])).
% 6.94/5.11 tff(11989,plain,
% 6.94/5.11 (v108(constB101) <=> (v111(constB101) | v112(constB101))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[11988, 4018])).
% 6.94/5.11 tff(11990,plain,
% 6.94/5.11 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))),
% 6.94/5.11 inference(quant_inst,[status(thm)],[])).
% 6.94/5.11 tff(11991,plain,
% 6.94/5.11 (v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101))))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[11990, 4030])).
% 6.94/5.11 tff(11992,plain,
% 6.94/5.11 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB101) <=> (v114(constB101) | v125(constB101)))),
% 6.94/5.11 inference(quant_inst,[status(thm)],[])).
% 6.94/5.11 tff(11993,plain,
% 6.94/5.11 (v113(constB101) <=> (v114(constB101) | v125(constB101))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[11992, 4039])).
% 6.94/5.11 tff(11994,plain,
% 6.94/5.11 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB101) <=> (v115(constB101) | v124(constB101)))),
% 6.94/5.11 inference(quant_inst,[status(thm)],[])).
% 6.94/5.11 tff(11995,plain,
% 6.94/5.11 (v114(constB101) <=> (v115(constB101) | v124(constB101))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[11994, 4048])).
% 6.94/5.11 tff(11996,plain,
% 6.94/5.11 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB101) <=> (v116(constB101) | v123(constB101)))),
% 6.94/5.11 inference(quant_inst,[status(thm)],[])).
% 6.94/5.11 tff(11997,plain,
% 6.94/5.11 (v115(constB101) <=> (v116(constB101) | v123(constB101))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[11996, 4057])).
% 6.94/5.11 tff(11998,plain,
% 6.94/5.11 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB101) <=> (v117(constB101) | v122(constB101)))),
% 6.94/5.11 inference(quant_inst,[status(thm)],[])).
% 6.94/5.11 tff(11999,plain,
% 6.94/5.11 (v116(constB101) <=> (v117(constB101) | v122(constB101))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[11998, 4066])).
% 6.94/5.11 tff(12000,plain,
% 6.94/5.11 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB101) <=> (v118(constB101) | v121(constB101)))),
% 6.94/5.11 inference(quant_inst,[status(thm)],[])).
% 6.94/5.11 tff(12001,plain,
% 6.94/5.11 (v117(constB101) <=> (v118(constB101) | v121(constB101))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12000, 4075])).
% 6.94/5.11 tff(12002,plain,
% 6.94/5.11 ((v118(constB101) | v121(constB101)) | (~v121(constB101))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12003,plain,
% 6.94/5.11 (v118(constB101) | v121(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12002, 11937])).
% 6.94/5.11 tff(12004,plain,
% 6.94/5.11 ((~(v117(constB101) <=> (v118(constB101) | v121(constB101)))) | v117(constB101) | (~(v118(constB101) | v121(constB101)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12005,plain,
% 6.94/5.11 (v117(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12004, 12003, 12001])).
% 6.94/5.11 tff(12006,plain,
% 6.94/5.11 ((v117(constB101) | v122(constB101)) | (~v117(constB101))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12007,plain,
% 6.94/5.11 (v117(constB101) | v122(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12006, 12005])).
% 6.94/5.11 tff(12008,plain,
% 6.94/5.11 ((~(v116(constB101) <=> (v117(constB101) | v122(constB101)))) | v116(constB101) | (~(v117(constB101) | v122(constB101)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12009,plain,
% 6.94/5.11 (v116(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12008, 12007, 11999])).
% 6.94/5.11 tff(12010,plain,
% 6.94/5.11 ((v116(constB101) | v123(constB101)) | (~v116(constB101))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12011,plain,
% 6.94/5.11 (v116(constB101) | v123(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12010, 12009])).
% 6.94/5.11 tff(12012,plain,
% 6.94/5.11 ((~(v115(constB101) <=> (v116(constB101) | v123(constB101)))) | v115(constB101) | (~(v116(constB101) | v123(constB101)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12013,plain,
% 6.94/5.11 (v115(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12012, 12011, 11997])).
% 6.94/5.11 tff(12014,plain,
% 6.94/5.11 ((v115(constB101) | v124(constB101)) | (~v115(constB101))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12015,plain,
% 6.94/5.11 (v115(constB101) | v124(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12014, 12013])).
% 6.94/5.11 tff(12016,plain,
% 6.94/5.11 ((~(v114(constB101) <=> (v115(constB101) | v124(constB101)))) | v114(constB101) | (~(v115(constB101) | v124(constB101)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12017,plain,
% 6.94/5.11 (v114(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12016, 12015, 11995])).
% 6.94/5.11 tff(12018,plain,
% 6.94/5.11 ((v114(constB101) | v125(constB101)) | (~v114(constB101))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12019,plain,
% 6.94/5.11 (v114(constB101) | v125(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12018, 12017])).
% 6.94/5.11 tff(12020,plain,
% 6.94/5.11 ((~(v113(constB101) <=> (v114(constB101) | v125(constB101)))) | v113(constB101) | (~(v114(constB101) | v125(constB101)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12021,plain,
% 6.94/5.11 (v113(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12020, 12019, 11993])).
% 6.94/5.11 tff(12022,plain,
% 6.94/5.11 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB101)) <=> v111(constB101))),
% 6.94/5.11 inference(quant_inst,[status(thm)],[])).
% 6.94/5.11 tff(12023,plain,
% 6.94/5.11 ((~v126(constB101)) <=> v111(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12022, 4118])).
% 6.94/5.11 tff(12024,plain,
% 6.94/5.11 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101) | v111(constB101)),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12025,plain,
% 6.94/5.11 ((~((~v126(constB101)) <=> v111(constB101))) | v126(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12024, 541])).
% 6.94/5.11 tff(12026,plain,
% 6.94/5.11 (v126(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12025, 12023])).
% 6.94/5.11 tff(12027,plain,
% 6.94/5.11 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101)) | (~v126(constB101))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12028,plain,
% 6.94/5.11 ((~((~v113(constB101)) | (~v126(constB101)))) | (~v113(constB101))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12027, 12026])).
% 6.94/5.11 tff(12029,plain,
% 6.94/5.11 (~((~v113(constB101)) | (~v126(constB101)))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12028, 12021])).
% 6.94/5.11 tff(12030,plain,
% 6.94/5.11 ((~(v112(constB101) <=> (~((~v113(constB101)) | (~v126(constB101)))))) | v112(constB101) | ((~v113(constB101)) | (~v126(constB101)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12031,plain,
% 6.94/5.11 (v112(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12030, 12029, 11991])).
% 6.94/5.11 tff(12032,plain,
% 6.94/5.11 ((v111(constB101) | v112(constB101)) | (~v112(constB101))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12033,plain,
% 6.94/5.11 (v111(constB101) | v112(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12032, 12031])).
% 6.94/5.11 tff(12034,plain,
% 6.94/5.11 ((~(v108(constB101) <=> (v111(constB101) | v112(constB101)))) | v108(constB101) | (~(v111(constB101) | v112(constB101)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12035,plain,
% 6.94/5.11 (v108(constB101)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12034, 12033, 11989])).
% 6.94/5.11 tff(12036,plain,
% 6.94/5.11 ((~(v110(constB102) <=> v108(constB101))) | v110(constB102) | (~v108(constB101))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12037,plain,
% 6.94/5.11 (v110(constB102)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12036, 12035, 11987])).
% 6.94/5.11 tff(12038,plain,
% 6.94/5.11 ((~((~v101(constB102)) | (~v110(constB102)))) | (~v101(constB102)) | (~v110(constB102))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12039,plain,
% 6.94/5.11 (~((~v101(constB102)) | (~v110(constB102)))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12038, 12037, 11983])).
% 6.94/5.11 tff(12040,plain,
% 6.94/5.11 ((~(v100(constB102) <=> (~((~v101(constB102)) | (~v110(constB102)))))) | v100(constB102) | ((~v101(constB102)) | (~v110(constB102)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12041,plain,
% 6.94/5.11 (v100(constB102)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12040, 12039, 11955])).
% 6.94/5.11 tff(12042,plain,
% 6.94/5.11 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.94/5.11 inference(rewrite,[status(thm)],[])).
% 6.94/5.11 tff(12043,plain,
% 6.94/5.11 (((~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)))))),
% 6.94/5.11 inference(rewrite,[status(thm)],[])).
% 6.94/5.11 tff(12044,plain,
% 6.94/5.11 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 6.94/5.11 inference(monotonicity,[status(thm)],[12043])).
% 6.94/5.11 tff(12045,plain,
% 6.94/5.11 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 6.94/5.11 inference(transitivity,[status(thm)],[12044, 12042])).
% 6.94/5.11 tff(12046,plain,
% 6.94/5.11 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB102)) | (~(((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)) | ((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)))))),
% 6.94/5.11 inference(quant_inst,[status(thm)],[])).
% 6.94/5.11 tff(12047,plain,
% 6.94/5.11 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB102)) | (~(((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))))),
% 6.94/5.11 inference(modus_ponens,[status(thm)],[12046, 12045])).
% 6.94/5.11 tff(12048,plain,
% 6.94/5.11 ((~v100(constB102)) | (~(((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12047, 4151])).
% 6.94/5.11 tff(12049,plain,
% 6.94/5.11 (~(((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12048, 12041])).
% 6.94/5.11 tff(12050,plain,
% 6.94/5.11 ((((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))) | (~((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12051,plain,
% 6.94/5.11 (~((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12050, 12049])).
% 6.94/5.11 tff(12052,plain,
% 6.94/5.11 (((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | (~v90(constB102, bitIndex2)) | v129(constB102, bitIndex2)),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12053,plain,
% 6.94/5.11 (~v90(constB102, bitIndex2)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12052, 12051, 11951])).
% 6.94/5.11 tff(12054,plain,
% 6.94/5.11 (((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | (~v90(constB103, bitIndex2)) | v90(constB102, bitIndex2)),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12055,plain,
% 6.94/5.11 (~v90(constB103, bitIndex2)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12054, 12053, 492])).
% 6.94/5.11 tff(12056,plain,
% 6.94/5.11 (((~v88(constB103, bitIndex2)) <=> v90(constB103, bitIndex2)) | (~v88(constB103, bitIndex2)) | v90(constB103, bitIndex2)),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12057,plain,
% 6.94/5.11 (~v88(constB103, bitIndex2)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12056, 12055, 420])).
% 6.94/5.11 tff(12058,plain,
% 6.94/5.11 ((((~v88(constB103, bitIndex1)) <=> v90(constB103, bitIndex1)) | ((~v88(constB103, bitIndex2)) <=> v90(constB103, bitIndex2)) | ((~v88(constB103, bitIndex0)) <=> v90(constB103, bitIndex0))) | (~((~v88(constB103, bitIndex0)) <=> v90(constB103, bitIndex0)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12059,plain,
% 6.94/5.11 (~((~v88(constB103, bitIndex0)) <=> v90(constB103, bitIndex0))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12058, 418])).
% 6.94/5.11 tff(12060,plain,
% 6.94/5.11 ((((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))) | (~((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12061,plain,
% 6.94/5.11 (~((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12060, 490])).
% 6.94/5.11 tff(12062,plain,
% 6.94/5.11 ((((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0))) | (~((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12063,plain,
% 6.94/5.11 (~((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12062, 512])).
% 6.94/5.11 tff(12064,plain,
% 6.94/5.11 ((((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1))) | (~((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12065,plain,
% 6.94/5.11 (~((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12064, 559])).
% 6.94/5.11 tff(12066,plain,
% 6.94/5.11 ((v130(constB101, bitIndex2) | (~v130(constB101, bitIndex0)) | (~v130(constB101, bitIndex1))) | v130(constB101, bitIndex0)),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12067,plain,
% 6.94/5.11 (v130(constB101, bitIndex0)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12066, 11945])).
% 6.94/5.11 tff(12068,plain,
% 6.94/5.11 (((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)) | v127(constB101, bitIndex0) | (~v130(constB101, bitIndex0))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12069,plain,
% 6.94/5.11 (v127(constB101, bitIndex0)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12068, 12067, 12065])).
% 6.94/5.11 tff(12070,plain,
% 6.94/5.11 (((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0)) | v129(constB102, bitIndex0) | (~v127(constB101, bitIndex0))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12071,plain,
% 6.94/5.11 (v129(constB102, bitIndex0)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12070, 12069, 12063])).
% 6.94/5.11 tff(12072,plain,
% 6.94/5.11 ((((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))) | (~((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12073,plain,
% 6.94/5.11 (~((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12072, 12049])).
% 6.94/5.11 tff(12074,plain,
% 6.94/5.11 (((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | v90(constB102, bitIndex0) | (~v129(constB102, bitIndex0))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12075,plain,
% 6.94/5.11 (v90(constB102, bitIndex0)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12074, 12073, 12071])).
% 6.94/5.11 tff(12076,plain,
% 6.94/5.11 (((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0)) | v90(constB103, bitIndex0) | (~v90(constB102, bitIndex0))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12077,plain,
% 6.94/5.11 (v90(constB103, bitIndex0)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12076, 12075, 12061])).
% 6.94/5.11 tff(12078,plain,
% 6.94/5.11 (((~v88(constB103, bitIndex0)) <=> v90(constB103, bitIndex0)) | v88(constB103, bitIndex0) | (~v90(constB103, bitIndex0))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12079,plain,
% 6.94/5.11 (v88(constB103, bitIndex0)),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12078, 12077, 12059])).
% 6.94/5.11 tff(12080,plain,
% 6.94/5.11 ((((~v88(constB103, bitIndex1)) <=> v90(constB103, bitIndex1)) | ((~v88(constB103, bitIndex2)) <=> v90(constB103, bitIndex2)) | ((~v88(constB103, bitIndex0)) <=> v90(constB103, bitIndex0))) | (~((~v88(constB103, bitIndex1)) <=> v90(constB103, bitIndex1)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12081,plain,
% 6.94/5.11 (~((~v88(constB103, bitIndex1)) <=> v90(constB103, bitIndex1))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12080, 418])).
% 6.94/5.11 tff(12082,plain,
% 6.94/5.11 ((((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | ((~v90(constB103, bitIndex2)) <=> v90(constB102, bitIndex2)) | ((~v90(constB103, bitIndex0)) <=> v90(constB102, bitIndex0))) | (~((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12083,plain,
% 6.94/5.11 (~((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12082, 490])).
% 6.94/5.11 tff(12084,plain,
% 6.94/5.11 ((((~v129(constB102, bitIndex2)) <=> v127(constB101, bitIndex2)) | ((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | ((~v129(constB102, bitIndex0)) <=> v127(constB101, bitIndex0))) | (~((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12085,plain,
% 6.94/5.11 (~((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12084, 512])).
% 6.94/5.11 tff(12086,plain,
% 6.94/5.11 ((((~v127(constB101, bitIndex2)) <=> v130(constB101, bitIndex2)) | ((~v127(constB101, bitIndex0)) <=> v130(constB101, bitIndex0)) | ((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1))) | (~((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)))),
% 6.94/5.11 inference(tautology,[status(thm)],[])).
% 6.94/5.11 tff(12087,plain,
% 6.94/5.11 (~((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1))),
% 6.94/5.11 inference(unit_resolution,[status(thm)],[12086, 559])).
% 7.00/5.11 tff(12088,plain,
% 7.00/5.11 ((v130(constB101, bitIndex2) | (~v130(constB101, bitIndex0)) | (~v130(constB101, bitIndex1))) | v130(constB101, bitIndex1)),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12089,plain,
% 7.00/5.11 (v130(constB101, bitIndex1)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12088, 11945])).
% 7.00/5.11 tff(12090,plain,
% 7.00/5.11 (((~v127(constB101, bitIndex1)) <=> v130(constB101, bitIndex1)) | v127(constB101, bitIndex1) | (~v130(constB101, bitIndex1))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12091,plain,
% 7.00/5.11 (v127(constB101, bitIndex1)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12090, 12089, 12087])).
% 7.00/5.11 tff(12092,plain,
% 7.00/5.11 (((~v129(constB102, bitIndex1)) <=> v127(constB101, bitIndex1)) | v129(constB102, bitIndex1) | (~v127(constB101, bitIndex1))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12093,plain,
% 7.00/5.11 (v129(constB102, bitIndex1)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12092, 12091, 12085])).
% 7.00/5.11 tff(12094,plain,
% 7.00/5.11 ((((~v90(constB102, bitIndex0)) <=> v129(constB102, bitIndex0)) | ((~v90(constB102, bitIndex2)) <=> v129(constB102, bitIndex2)) | ((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))) | (~((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12095,plain,
% 7.00/5.11 (~((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1))),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12094, 12049])).
% 7.00/5.11 tff(12096,plain,
% 7.00/5.11 (((~v90(constB102, bitIndex1)) <=> v129(constB102, bitIndex1)) | v90(constB102, bitIndex1) | (~v129(constB102, bitIndex1))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12097,plain,
% 7.00/5.11 (v90(constB102, bitIndex1)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12096, 12095, 12093])).
% 7.00/5.11 tff(12098,plain,
% 7.00/5.11 (((~v90(constB103, bitIndex1)) <=> v90(constB102, bitIndex1)) | v90(constB103, bitIndex1) | (~v90(constB102, bitIndex1))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12099,plain,
% 7.00/5.11 (v90(constB103, bitIndex1)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12098, 12097, 12083])).
% 7.00/5.11 tff(12100,plain,
% 7.00/5.11 (((~v88(constB103, bitIndex1)) <=> v90(constB103, bitIndex1)) | v88(constB103, bitIndex1) | (~v90(constB103, bitIndex1))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12101,plain,
% 7.00/5.11 (v88(constB103, bitIndex1)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12100, 12099, 12081])).
% 7.00/5.11 tff(12102,plain,
% 7.00/5.11 ((~((~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))) | (~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12103,plain,
% 7.00/5.11 (~((~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12102, 12101, 12079, 12057])).
% 7.00/5.11 tff(12104,plain,
% 7.00/5.11 ((~(v141(constB103) <=> (~((~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))))) | v141(constB103) | ((~v88(constB103, bitIndex1)) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12105,plain,
% 7.00/5.11 (v141(constB103)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12104, 12103, 403])).
% 7.00/5.11 tff(12106,plain,
% 7.00/5.11 ((v141(constB103) | v167(constB103)) | (~v141(constB103))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12107,plain,
% 7.00/5.11 (v141(constB103) | v167(constB103)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12106, 12105])).
% 7.00/5.11 tff(12108,plain,
% 7.00/5.11 ((~(v166(constB103) <=> (v141(constB103) | v167(constB103)))) | v166(constB103) | (~(v141(constB103) | v167(constB103)))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12109,plain,
% 7.00/5.11 (v166(constB103)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12108, 12107, 383])).
% 7.00/5.11 tff(12110,plain,
% 7.00/5.11 ((v142(constB103) | v166(constB103)) | (~v166(constB103))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12111,plain,
% 7.00/5.11 (v142(constB103) | v166(constB103)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12110, 12109])).
% 7.00/5.11 tff(12112,plain,
% 7.00/5.11 ((~(v165(constB103) <=> (v142(constB103) | v166(constB103)))) | v165(constB103) | (~(v142(constB103) | v166(constB103)))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12113,plain,
% 7.00/5.11 ((~(v165(constB103) <=> (v142(constB103) | v166(constB103)))) | v165(constB103)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12112, 12111])).
% 7.00/5.11 tff(12114,plain,
% 7.00/5.11 (v165(constB103)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12113, 371])).
% 7.00/5.11 tff(12115,plain,
% 7.00/5.11 ((v145(constB103) | v165(constB103)) | (~v165(constB103))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12116,plain,
% 7.00/5.11 (v145(constB103) | v165(constB103)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12115, 12114])).
% 7.00/5.11 tff(12117,plain,
% 7.00/5.11 ((~(v164(constB103) <=> (v145(constB103) | v165(constB103)))) | v164(constB103) | (~(v145(constB103) | v165(constB103)))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12118,plain,
% 7.00/5.11 (v164(constB103)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12117, 12116, 359])).
% 7.00/5.11 tff(12119,plain,
% 7.00/5.11 (^[VarNext: $i] : refl(((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext))) <=> ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext))))),
% 7.00/5.11 inference(bind,[status(th)],[])).
% 7.00/5.11 tff(12120,plain,
% 7.00/5.11 (![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext))) <=> ![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 7.00/5.11 inference(quant_intro,[status(thm)],[12119])).
% 7.00/5.11 tff(12121,plain,
% 7.00/5.11 (![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext))) <=> ![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 7.00/5.11 inference(rewrite,[status(thm)],[])).
% 7.00/5.11 tff(12122,plain,
% 7.00/5.11 (^[VarNext: $i] : rewrite((v164(VarNext) => (v161(VarNext) <=> v168(VarNext))) <=> ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext))))),
% 7.00/5.11 inference(bind,[status(th)],[])).
% 7.00/5.11 tff(12123,plain,
% 7.00/5.11 (![VarNext: $i] : (v164(VarNext) => (v161(VarNext) <=> v168(VarNext))) <=> ![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 7.00/5.11 inference(quant_intro,[status(thm)],[12122])).
% 7.00/5.11 tff(12124,axiom,(![VarNext: $i] : (v164(VarNext) => (v161(VarNext) <=> v168(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5')).
% 7.00/5.11 tff(12125,plain,
% 7.00/5.11 (![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12124, 12123])).
% 7.00/5.11 tff(12126,plain,
% 7.00/5.11 (![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12125, 12121])).
% 7.00/5.11 tff(12127,plain,(
% 7.00/5.11 ![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 7.00/5.11 inference(skolemize,[status(sab)],[12126])).
% 7.00/5.11 tff(12128,plain,
% 7.00/5.11 (![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12127, 12120])).
% 7.00/5.11 tff(12129,plain,
% 7.00/5.11 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB103)) | (v161(constB103) <=> v168(constB103)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB103)) | (v161(constB103) <=> v168(constB103)))),
% 7.00/5.11 inference(rewrite,[status(thm)],[])).
% 7.00/5.11 tff(12130,plain,
% 7.00/5.11 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB103)) | (v161(constB103) <=> v168(constB103)))),
% 7.00/5.11 inference(quant_inst,[status(thm)],[])).
% 7.00/5.11 tff(12131,plain,
% 7.00/5.11 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB103)) | (v161(constB103) <=> v168(constB103))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12130, 12129])).
% 7.00/5.11 tff(12132,plain,
% 7.00/5.11 ((~v164(constB103)) | (v161(constB103) <=> v168(constB103))),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12131, 12128])).
% 7.00/5.11 tff(12133,plain,
% 7.00/5.11 (v161(constB103) <=> v168(constB103)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12132, 12118])).
% 7.00/5.11 tff(12134,plain,
% 7.00/5.11 (^[VarCurr: $i] : refl((v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)))) <=> (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)))))),
% 7.00/5.11 inference(bind,[status(th)],[])).
% 7.00/5.11 tff(12135,plain,
% 7.00/5.11 (![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)))) <=> ![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))),
% 7.00/5.11 inference(quant_intro,[status(thm)],[12134])).
% 7.00/5.11 tff(12136,plain,
% 7.00/5.11 (^[VarCurr: $i] : rewrite((v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2)))))),
% 7.00/5.11 inference(bind,[status(th)],[])).
% 7.00/5.11 tff(12137,plain,
% 7.00/5.11 (![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))),
% 7.00/5.11 inference(quant_intro,[status(thm)],[12136])).
% 7.00/5.11 tff(12138,plain,
% 7.00/5.11 (![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.00/5.11 inference(rewrite,[status(thm)],[])).
% 7.00/5.11 tff(12139,plain,
% 7.00/5.11 (^[VarCurr: $i] : rewrite((v139(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))))),
% 7.00/5.11 inference(bind,[status(th)],[])).
% 7.00/5.11 tff(12140,plain,
% 7.00/5.11 (![VarCurr: $i] : (v139(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.00/5.11 inference(quant_intro,[status(thm)],[12139])).
% 7.00/5.11 tff(12141,axiom,(![VarCurr: $i] : (v139(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9')).
% 7.00/5.11 tff(12142,plain,
% 7.00/5.11 (![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12141, 12140])).
% 7.00/5.11 tff(12143,plain,
% 7.00/5.11 (![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12142, 12138])).
% 7.00/5.11 tff(12144,plain,(
% 7.00/5.11 ![VarCurr: $i] : (v139(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.00/5.11 inference(skolemize,[status(sab)],[12143])).
% 7.00/5.11 tff(12145,plain,
% 7.00/5.11 (![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12144, 12137])).
% 7.00/5.11 tff(12146,plain,
% 7.00/5.11 (![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12145, 12135])).
% 7.00/5.11 tff(12147,plain,
% 7.00/5.11 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB103) <=> (~(v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2))))),
% 7.00/5.11 inference(quant_inst,[status(thm)],[])).
% 7.00/5.11 tff(12148,plain,
% 7.00/5.11 (v139(constB103) <=> (~(v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2)))),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12147, 12146])).
% 7.00/5.11 tff(12149,plain,
% 7.00/5.11 ((v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2)) | (~v88(constB103, bitIndex0))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12150,plain,
% 7.00/5.11 (v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12149, 12079])).
% 7.00/5.11 tff(12151,plain,
% 7.00/5.11 ((~(v139(constB103) <=> (~(v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2))))) | (~v139(constB103)) | (~(v88(constB103, bitIndex0) | v88(constB103, bitIndex1) | v88(constB103, bitIndex2)))),
% 7.00/5.11 inference(tautology,[status(thm)],[])).
% 7.00/5.11 tff(12152,plain,
% 7.00/5.11 (~v139(constB103)),
% 7.00/5.11 inference(unit_resolution,[status(thm)],[12151, 12150, 12148])).
% 7.00/5.11 tff(12153,plain,
% 7.00/5.11 (^[VarCurr: $i] : refl((v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))) <=> (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))))),
% 7.00/5.11 inference(bind,[status(th)],[])).
% 7.00/5.11 tff(12154,plain,
% 7.00/5.11 (![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 7.00/5.11 inference(quant_intro,[status(thm)],[12153])).
% 7.00/5.11 tff(12155,plain,
% 7.00/5.11 (^[VarCurr: $i] : rewrite((v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0))))))),
% 7.00/5.11 inference(bind,[status(th)],[])).
% 7.00/5.11 tff(12156,plain,
% 7.00/5.11 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 7.00/5.11 inference(quant_intro,[status(thm)],[12155])).
% 7.00/5.11 tff(12157,plain,
% 7.00/5.11 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 7.00/5.11 inference(rewrite,[status(thm)],[])).
% 7.00/5.11 tff(12158,plain,
% 7.00/5.11 (^[VarCurr: $i] : rewrite((v140(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0))))),
% 7.00/5.11 inference(bind,[status(th)],[])).
% 7.00/5.11 tff(12159,plain,
% 7.00/5.11 (![VarCurr: $i] : (v140(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 7.00/5.11 inference(quant_intro,[status(thm)],[12158])).
% 7.00/5.11 tff(12160,axiom,(![VarCurr: $i] : (v140(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $false) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10')).
% 7.00/5.11 tff(12161,plain,
% 7.00/5.11 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12160, 12159])).
% 7.00/5.11 tff(12162,plain,
% 7.00/5.11 (![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12161, 12157])).
% 7.00/5.11 tff(12163,plain,(
% 7.00/5.11 ![VarCurr: $i] : (v140(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & (~v88(VarCurr, bitIndex1)) & v88(VarCurr, bitIndex0)))),
% 7.00/5.11 inference(skolemize,[status(sab)],[12162])).
% 7.00/5.11 tff(12164,plain,
% 7.00/5.11 (![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12163, 12156])).
% 7.00/5.11 tff(12165,plain,
% 7.00/5.11 (![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))),
% 7.00/5.11 inference(modus_ponens,[status(thm)],[12164, 12154])).
% 7.00/5.11 tff(12166,plain,
% 7.00/5.11 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB103) <=> (~(v88(constB103, bitIndex1) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12167,plain,
% 7.00/5.12 (v140(constB103) <=> (~(v88(constB103, bitIndex1) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0))))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12166, 12165])).
% 7.00/5.12 tff(12168,plain,
% 7.00/5.12 ((v88(constB103, bitIndex1) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0))) | (~v88(constB103, bitIndex1))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12169,plain,
% 7.00/5.12 (v88(constB103, bitIndex1) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12168, 12101])).
% 7.00/5.12 tff(12170,plain,
% 7.00/5.12 ((~(v140(constB103) <=> (~(v88(constB103, bitIndex1) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0)))))) | (~v140(constB103)) | (~(v88(constB103, bitIndex1) | v88(constB103, bitIndex2) | (~v88(constB103, bitIndex0))))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12171,plain,
% 7.00/5.12 (~v140(constB103)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12170, 12169, 12167])).
% 7.00/5.12 tff(12172,plain,
% 7.00/5.12 (^[VarCurr: $i] : refl((v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr))))),
% 7.00/5.12 inference(bind,[status(th)],[])).
% 7.00/5.12 tff(12173,plain,
% 7.00/5.12 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 7.00/5.12 inference(quant_intro,[status(thm)],[12172])).
% 7.00/5.12 tff(12174,plain,
% 7.00/5.12 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v139(VarCurr)) & (~v140(VarCurr))) <=> (~(v139(VarCurr) | v140(VarCurr)))), ((~((~v139(VarCurr)) & (~v140(VarCurr)))) <=> (~(~(v139(VarCurr) | v140(VarCurr)))))), rewrite((~(~(v139(VarCurr) | v140(VarCurr)))) <=> (v139(VarCurr) | v140(VarCurr))), ((~((~v139(VarCurr)) & (~v140(VarCurr)))) <=> (v139(VarCurr) | v140(VarCurr)))), (((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> ((~v168(VarCurr)) | (v139(VarCurr) | v140(VarCurr))))), rewrite(((~v168(VarCurr)) | (v139(VarCurr) | v140(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))), (((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))))),
% 7.00/5.12 inference(bind,[status(th)],[])).
% 7.00/5.12 tff(12175,plain,
% 7.00/5.12 (![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 7.00/5.12 inference(quant_intro,[status(thm)],[12174])).
% 7.00/5.12 tff(12176,plain,
% 7.00/5.12 (![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr))))) <=> ![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12177,plain,
% 7.00/5.12 (^[VarCurr: $i] : trans(monotonicity(rewrite((v168(VarCurr) <=> $false) <=> (~v168(VarCurr))), ((((~v139(VarCurr)) & (~v140(VarCurr))) => (v168(VarCurr) <=> $false)) <=> (((~v139(VarCurr)) & (~v140(VarCurr))) => (~v168(VarCurr))))), rewrite((((~v139(VarCurr)) & (~v140(VarCurr))) => (~v168(VarCurr))) <=> ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))), ((((~v139(VarCurr)) & (~v140(VarCurr))) => (v168(VarCurr) <=> $false)) <=> ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))))),
% 7.00/5.12 inference(bind,[status(th)],[])).
% 7.00/5.12 tff(12178,plain,
% 7.00/5.12 (![VarCurr: $i] : (((~v139(VarCurr)) & (~v140(VarCurr))) => (v168(VarCurr) <=> $false)) <=> ![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 7.00/5.12 inference(quant_intro,[status(thm)],[12177])).
% 7.00/5.12 tff(12179,axiom,(![VarCurr: $i] : (((~v139(VarCurr)) & (~v140(VarCurr))) => (v168(VarCurr) <=> $false))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2')).
% 7.00/5.12 tff(12180,plain,
% 7.00/5.12 (![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12179, 12178])).
% 7.00/5.12 tff(12181,plain,
% 7.00/5.12 (![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12180, 12176])).
% 7.00/5.12 tff(12182,plain,(
% 7.00/5.12 ![VarCurr: $i] : ((~v168(VarCurr)) | (~((~v139(VarCurr)) & (~v140(VarCurr)))))),
% 7.00/5.12 inference(skolemize,[status(sab)],[12181])).
% 7.00/5.12 tff(12183,plain,
% 7.00/5.12 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12182, 12175])).
% 7.00/5.12 tff(12184,plain,
% 7.00/5.12 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12183, 12173])).
% 7.00/5.12 tff(12185,plain,
% 7.00/5.12 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB103) | v139(constB103) | (~v168(constB103)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB103) | v139(constB103) | (~v168(constB103)))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12186,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB103) | v139(constB103) | (~v168(constB103)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12187,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB103) | v139(constB103) | (~v168(constB103))),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12186, 12185])).
% 7.00/5.12 tff(12188,plain,
% 7.00/5.12 (v140(constB103) | v139(constB103) | (~v168(constB103))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12187, 12184])).
% 7.00/5.12 tff(12189,plain,
% 7.00/5.12 (~v168(constB103)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12188, 12171, 12152])).
% 7.00/5.12 tff(12190,plain,
% 7.00/5.12 ((~(v161(constB103) <=> v168(constB103))) | (~v161(constB103)) | v168(constB103)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12191,plain,
% 7.00/5.12 ((~(v161(constB103) <=> v168(constB103))) | (~v161(constB103))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12190, 12189])).
% 7.00/5.12 tff(12192,plain,
% 7.00/5.12 (~v161(constB103)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12191, 12133])).
% 7.00/5.12 tff(12193,plain,
% 7.00/5.12 ((~(v159(constB103) <=> v161(constB103))) | (~v159(constB103)) | v161(constB103)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12194,plain,
% 7.00/5.12 ((~(v159(constB103) <=> v161(constB103))) | (~v159(constB103))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12193, 12192])).
% 7.00/5.12 tff(12195,plain,
% 7.00/5.12 (~v159(constB103)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12194, 347])).
% 7.00/5.12 tff(12196,plain,
% 7.00/5.12 (((~v184(constB103)) | (~v159(constB103))) | v159(constB103)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12197,plain,
% 7.00/5.12 ((~v184(constB103)) | (~v159(constB103))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12196, 12195])).
% 7.00/5.12 tff(12198,plain,
% 7.00/5.12 ((~(v187(constB103) <=> (~((~v184(constB103)) | (~v159(constB103)))))) | (~v187(constB103)) | (~((~v184(constB103)) | (~v159(constB103))))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12199,plain,
% 7.00/5.12 (~v187(constB103)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12198, 12197, 338])).
% 7.00/5.12 tff(12200,plain,
% 7.00/5.12 (((~v186(constB103)) | (~v187(constB103))) | v187(constB103)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12201,plain,
% 7.00/5.12 ((~v186(constB103)) | (~v187(constB103))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12200, 12199])).
% 7.00/5.12 tff(12202,plain,
% 7.00/5.12 ((~(v185(constB103) <=> (~((~v186(constB103)) | (~v187(constB103)))))) | (~v185(constB103)) | (~((~v186(constB103)) | (~v187(constB103))))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12203,plain,
% 7.00/5.12 (~v185(constB103)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12202, 12201, 336])).
% 7.00/5.12 tff(12204,plain,
% 7.00/5.12 ((~(v181(constB103) | v185(constB103))) | v181(constB103) | v185(constB103)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12205,plain,
% 7.00/5.12 (~(v181(constB103) | v185(constB103))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12204, 12203, 334])).
% 7.00/5.12 tff(12206,plain,
% 7.00/5.12 ((~(v178(constB103) <=> (v181(constB103) | v185(constB103)))) | (~v178(constB103)) | (v181(constB103) | v185(constB103))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12207,plain,
% 7.00/5.12 (~v178(constB103)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12206, 12205, 179])).
% 7.00/5.12 tff(12208,plain,
% 7.00/5.12 ((~(v180(constB104) <=> v178(constB103))) | (~v180(constB104)) | v178(constB103)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12209,plain,
% 7.00/5.12 (~v180(constB104)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12208, 12207, 177])).
% 7.00/5.12 tff(12210,plain,
% 7.00/5.12 ((~(v157(constB104) <=> v180(constB104))) | (~v157(constB104)) | v180(constB104)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12211,plain,
% 7.00/5.12 (~v157(constB104)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12210, 12209, 170])).
% 7.00/5.12 tff(12212,plain,
% 7.00/5.12 (((~v157(constB104)) | (~v182(constB104))) | v157(constB104)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12213,plain,
% 7.00/5.12 ((~v157(constB104)) | (~v182(constB104))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12212, 12211])).
% 7.00/5.12 tff(12214,plain,
% 7.00/5.12 ((~(v181(constB104) <=> (~((~v157(constB104)) | (~v182(constB104)))))) | (~v181(constB104)) | (~((~v157(constB104)) | (~v182(constB104))))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12215,plain,
% 7.00/5.12 (~v181(constB104)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12214, 12213, 168])).
% 7.00/5.12 tff(12216,plain,
% 7.00/5.12 ((~(v181(constB104) | v185(constB104))) | v181(constB104) | v185(constB104)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12217,plain,
% 7.00/5.12 (~(v181(constB104) | v185(constB104))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12216, 12215, 151])).
% 7.00/5.12 tff(12218,plain,
% 7.00/5.12 ((~(v178(constB104) <=> (v181(constB104) | v185(constB104)))) | (~v178(constB104)) | (v181(constB104) | v185(constB104))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12219,plain,
% 7.00/5.12 (~v178(constB104)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12218, 12217, 86])).
% 7.00/5.12 tff(12220,plain,
% 7.00/5.12 ((~(v180(constB105) <=> v178(constB104))) | (~v180(constB105)) | v178(constB104)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12221,plain,
% 7.00/5.12 (~v180(constB105)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12220, 12219, 77])).
% 7.00/5.12 tff(12222,plain,
% 7.00/5.12 ($false),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12221, 60])).
% 7.00/5.12 tff(12223,plain,(~(constB105 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.00/5.12 tff(12224,assumption,(constB189 = VarCurr!0), introduced(assumption)).
% 7.00/5.12 tff(12225,plain,
% 7.00/5.12 (v180(constB189) <=> v180(VarCurr!0)),
% 7.00/5.12 inference(monotonicity,[status(thm)],[12224])).
% 7.00/5.12 tff(12226,plain,
% 7.00/5.12 (v180(VarCurr!0) <=> v180(constB189)),
% 7.00/5.12 inference(symmetry,[status(thm)],[12225])).
% 7.00/5.12 tff(12227,plain,
% 7.00/5.12 (v180(constB189)),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[59, 12226])).
% 7.00/5.12 tff(12228,plain,
% 7.00/5.12 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12229,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_188')).
% 7.00/5.12 tff(12230,plain,
% 7.00/5.12 (nextState(constB188, constB189)),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12229, 12228])).
% 7.00/5.12 tff(12231,plain,
% 7.00/5.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB188, constB189)) | (v180(constB189) <=> v178(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB188, constB189)) | (v180(constB189) <=> v178(constB188)))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12232,plain,
% 7.00/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB188, constB189)) | (v180(constB189) <=> v178(constB188)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12233,plain,
% 7.00/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB188, constB189)) | (v180(constB189) <=> v178(constB188))),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12232, 12231])).
% 7.00/5.12 tff(12234,plain,
% 7.00/5.12 (v180(constB189) <=> v178(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12233, 12230, 70])).
% 7.00/5.12 tff(12235,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB188) <=> (v181(constB188) | v185(constB188)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12236,plain,
% 7.00/5.12 (v178(constB188) <=> (v181(constB188) | v185(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12235, 84])).
% 7.00/5.12 tff(12237,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB188) <=> (~((~v186(constB188)) | (~v187(constB188)))))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12238,plain,
% 7.00/5.12 (v185(constB188) <=> (~((~v186(constB188)) | (~v187(constB188))))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12237, 96])).
% 7.00/5.12 tff(12239,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB188) <=> (~((~v184(constB188)) | (~v159(constB188)))))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12240,plain,
% 7.00/5.12 (v187(constB188) <=> (~((~v184(constB188)) | (~v159(constB188))))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12239, 108])).
% 7.00/5.12 tff(12241,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12242,plain,
% 7.00/5.12 (v184(constB188) <=> (~((~v39(constB188)) | (~v9(constB188))))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12241, 120])).
% 7.00/5.12 tff(12243,plain,
% 7.00/5.12 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB188)) <=> v1(constB188))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12244,plain,
% 7.00/5.12 ((~v39(constB188)) <=> v1(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12243, 129])).
% 7.00/5.12 tff(12245,plain,
% 7.00/5.12 (v1(constB188) <=> v1(constB188)),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12246,axiom,(v1(constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_188')).
% 7.00/5.12 tff(12247,plain,
% 7.00/5.12 (v1(constB188)),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12246, 12245])).
% 7.00/5.12 tff(12248,plain,
% 7.00/5.12 ((~((~v39(constB188)) <=> v1(constB188))) | (~v39(constB188)) | (~v1(constB188))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12249,plain,
% 7.00/5.12 ((~((~v39(constB188)) <=> v1(constB188))) | (~v39(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12248, 12247])).
% 7.00/5.12 tff(12250,plain,
% 7.00/5.12 (~v39(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12249, 12244])).
% 7.00/5.12 tff(12251,plain,
% 7.00/5.12 (((~v39(constB188)) | (~v9(constB188))) | v39(constB188)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12252,plain,
% 7.00/5.12 ((~v39(constB188)) | (~v9(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12251, 12250])).
% 7.00/5.12 tff(12253,plain,
% 7.00/5.12 ((~(v184(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))) | (~v184(constB188)) | (~((~v39(constB188)) | (~v9(constB188))))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12254,plain,
% 7.00/5.12 ((~(v184(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))) | (~v184(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12253, 12252])).
% 7.00/5.12 tff(12255,plain,
% 7.00/5.12 (~v184(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12254, 12242])).
% 7.00/5.12 tff(12256,plain,
% 7.00/5.12 (((~v184(constB188)) | (~v159(constB188))) | v184(constB188)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12257,plain,
% 7.00/5.12 ((~v184(constB188)) | (~v159(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12256, 12255])).
% 7.00/5.12 tff(12258,plain,
% 7.00/5.12 ((~(v187(constB188) <=> (~((~v184(constB188)) | (~v159(constB188)))))) | (~v187(constB188)) | (~((~v184(constB188)) | (~v159(constB188))))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12259,plain,
% 7.00/5.12 ((~(v187(constB188) <=> (~((~v184(constB188)) | (~v159(constB188)))))) | (~v187(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12258, 12257])).
% 7.00/5.12 tff(12260,plain,
% 7.00/5.12 (~v187(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12259, 12240])).
% 7.00/5.12 tff(12261,plain,
% 7.00/5.12 (((~v186(constB188)) | (~v187(constB188))) | v187(constB188)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12262,plain,
% 7.00/5.12 ((~v186(constB188)) | (~v187(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12261, 12260])).
% 7.00/5.12 tff(12263,plain,
% 7.00/5.12 ((~(v185(constB188) <=> (~((~v186(constB188)) | (~v187(constB188)))))) | (~v185(constB188)) | (~((~v186(constB188)) | (~v187(constB188))))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12264,plain,
% 7.00/5.12 (~v185(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12263, 12262, 12238])).
% 7.00/5.12 tff(12265,plain,
% 7.00/5.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188))))))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12266,plain,
% 7.00/5.12 ((v181(constB188) <=> (~((~v182(constB188)) | (~v157(constB188))))) <=> (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188)))))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12267,plain,
% 7.00/5.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v182(constB188)) | (~v157(constB188)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188))))))),
% 7.00/5.12 inference(monotonicity,[status(thm)],[12266])).
% 7.00/5.12 tff(12268,plain,
% 7.00/5.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v182(constB188)) | (~v157(constB188)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188))))))),
% 7.00/5.12 inference(transitivity,[status(thm)],[12267, 12265])).
% 7.00/5.12 tff(12269,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v182(constB188)) | (~v157(constB188)))))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12270,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188)))))),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12269, 12268])).
% 7.00/5.12 tff(12271,plain,
% 7.00/5.12 (v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188))))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12270, 161])).
% 7.00/5.12 tff(12272,plain,
% 7.00/5.12 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB188) <=> v180(constB188))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12273,plain,
% 7.00/5.12 (v157(constB188) <=> v180(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12272, 13])).
% 7.00/5.12 tff(12274,plain,
% 7.00/5.12 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12275,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_187')).
% 7.00/5.12 tff(12276,plain,
% 7.00/5.12 (nextState(constB187, constB188)),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12275, 12274])).
% 7.00/5.12 tff(12277,plain,
% 7.00/5.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB187, constB188)) | (v180(constB188) <=> v178(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB187, constB188)) | (v180(constB188) <=> v178(constB187)))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12278,plain,
% 7.00/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB187, constB188)) | (v180(constB188) <=> v178(constB187)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12279,plain,
% 7.00/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB187, constB188)) | (v180(constB188) <=> v178(constB187))),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12278, 12277])).
% 7.00/5.12 tff(12280,plain,
% 7.00/5.12 (v180(constB188) <=> v178(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12279, 12276, 70])).
% 7.00/5.12 tff(12281,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB187) <=> (v181(constB187) | v185(constB187)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12282,plain,
% 7.00/5.12 (v178(constB187) <=> (v181(constB187) | v185(constB187))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12281, 84])).
% 7.00/5.12 tff(12283,plain,
% 7.00/5.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187))))))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12284,plain,
% 7.00/5.12 ((v181(constB187) <=> (~((~v182(constB187)) | (~v157(constB187))))) <=> (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187)))))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12285,plain,
% 7.00/5.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v182(constB187)) | (~v157(constB187)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187))))))),
% 7.00/5.12 inference(monotonicity,[status(thm)],[12284])).
% 7.00/5.12 tff(12286,plain,
% 7.00/5.12 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v182(constB187)) | (~v157(constB187)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187))))))),
% 7.00/5.12 inference(transitivity,[status(thm)],[12285, 12283])).
% 7.00/5.12 tff(12287,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v182(constB187)) | (~v157(constB187)))))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12288,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187)))))),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12287, 12286])).
% 7.00/5.12 tff(12289,plain,
% 7.00/5.12 (v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187))))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12288, 161])).
% 7.00/5.12 tff(12290,plain,
% 7.00/5.12 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB187)) <=> v183(constB187))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12291,plain,
% 7.00/5.12 ((~v182(constB187)) <=> v183(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12290, 193])).
% 7.00/5.12 tff(12292,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB187) <=> (v184(constB187) | v26(constB187)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12293,plain,
% 7.00/5.12 (v183(constB187) <=> (v184(constB187) | v26(constB187))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12292, 202])).
% 7.00/5.12 tff(12294,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB187) <=> (~((~v39(constB187)) | (~v9(constB187)))))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12295,plain,
% 7.00/5.12 (v184(constB187) <=> (~((~v39(constB187)) | (~v9(constB187))))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12294, 120])).
% 7.00/5.12 tff(12296,plain,
% 7.00/5.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187)))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12297,plain,
% 7.00/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12298,plain,
% 7.00/5.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187))),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12297, 12296])).
% 7.00/5.12 tff(12299,plain,
% 7.00/5.12 (v13(constB188) <=> v9(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12298, 12276, 216])).
% 7.00/5.12 tff(12300,plain,
% 7.00/5.12 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB188) <=> v13(constB188))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12301,plain,
% 7.00/5.12 (v6(constB188) <=> v13(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12300, 230])).
% 7.00/5.12 tff(12302,plain,
% 7.00/5.12 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB188)) <=> v6(constB188))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12303,plain,
% 7.00/5.12 ((~v21(constB188)) <=> v6(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12302, 239])).
% 7.00/5.12 tff(12304,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB188) <=> (v20(constB188) | v21(constB188)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12305,plain,
% 7.00/5.12 (v19(constB188) <=> (v20(constB188) | v21(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12304, 248])).
% 7.00/5.12 tff(12306,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188)))))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12307,plain,
% 7.00/5.12 (v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188))))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12306, 260])).
% 7.00/5.12 tff(12308,plain,
% 7.00/5.12 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB188)) <=> v18(constB188))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12309,plain,
% 7.00/5.12 ((~v4(constB188)) <=> v18(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12308, 269])).
% 7.00/5.12 tff(12310,plain,
% 7.00/5.12 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB188)),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12311,plain,
% 7.00/5.12 (v4(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12310, 278])).
% 7.00/5.12 tff(12312,plain,
% 7.00/5.12 ((~((~v4(constB188)) <=> v18(constB188))) | (~v4(constB188)) | (~v18(constB188))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12313,plain,
% 7.00/5.12 (~v18(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12312, 12311, 12309])).
% 7.00/5.12 tff(12314,plain,
% 7.00/5.12 ((~(v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188)))))) | v18(constB188) | ((~v19(constB188)) | (~v22(constB188)))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12315,plain,
% 7.00/5.12 ((~v19(constB188)) | (~v22(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12314, 12313, 12307])).
% 7.00/5.12 tff(12316,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB188) <=> (v1(constB188) | v6(constB188)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12317,plain,
% 7.00/5.12 (v22(constB188) <=> (v1(constB188) | v6(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12316, 291])).
% 7.00/5.12 tff(12318,plain,
% 7.00/5.12 ((v1(constB188) | v6(constB188)) | (~v1(constB188))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12319,plain,
% 7.00/5.12 (v1(constB188) | v6(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12318, 12247])).
% 7.00/5.12 tff(12320,plain,
% 7.00/5.12 ((~(v22(constB188) <=> (v1(constB188) | v6(constB188)))) | v22(constB188) | (~(v1(constB188) | v6(constB188)))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12321,plain,
% 7.00/5.12 ((~(v22(constB188) <=> (v1(constB188) | v6(constB188)))) | v22(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12320, 12319])).
% 7.00/5.12 tff(12322,plain,
% 7.00/5.12 (v22(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12321, 12317])).
% 7.00/5.12 tff(12323,plain,
% 7.00/5.12 ((~((~v19(constB188)) | (~v22(constB188)))) | (~v19(constB188)) | (~v22(constB188))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12324,plain,
% 7.00/5.12 ((~((~v19(constB188)) | (~v22(constB188)))) | (~v19(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12323, 12322])).
% 7.00/5.12 tff(12325,plain,
% 7.00/5.12 (~v19(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12324, 12315])).
% 7.00/5.12 tff(12326,plain,
% 7.00/5.12 ((~(v19(constB188) <=> (v20(constB188) | v21(constB188)))) | v19(constB188) | (~(v20(constB188) | v21(constB188)))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12327,plain,
% 7.00/5.12 (~(v20(constB188) | v21(constB188))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12326, 12325, 12305])).
% 7.00/5.12 tff(12328,plain,
% 7.00/5.12 ((v20(constB188) | v21(constB188)) | (~v21(constB188))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12329,plain,
% 7.00/5.12 (~v21(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12328, 12327])).
% 7.00/5.12 tff(12330,plain,
% 7.00/5.12 ((~((~v21(constB188)) <=> v6(constB188))) | v21(constB188) | v6(constB188)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12331,plain,
% 7.00/5.12 (v6(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12330, 12329, 12303])).
% 7.00/5.12 tff(12332,plain,
% 7.00/5.12 ((~(v6(constB188) <=> v13(constB188))) | (~v6(constB188)) | v13(constB188)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12333,plain,
% 7.00/5.12 (v13(constB188)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12332, 12331, 12301])).
% 7.00/5.12 tff(12334,plain,
% 7.00/5.12 ((~(v13(constB188) <=> v9(constB187))) | (~v13(constB188)) | v9(constB187)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12335,plain,
% 7.00/5.12 (v9(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12334, 12333, 12299])).
% 7.00/5.12 tff(12336,plain,
% 7.00/5.12 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB187)) <=> v1(constB187))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12337,plain,
% 7.00/5.12 ((~v39(constB187)) <=> v1(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12336, 129])).
% 7.00/5.12 tff(12338,plain,
% 7.00/5.12 ((~v1(constB187)) <=> (~v1(constB187))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12339,axiom,(~v1(constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_187')).
% 7.00/5.12 tff(12340,plain,
% 7.00/5.12 (~v1(constB187)),
% 7.00/5.12 inference(modus_ponens,[status(thm)],[12339, 12338])).
% 7.00/5.12 tff(12341,plain,
% 7.00/5.12 ((~((~v39(constB187)) <=> v1(constB187))) | v39(constB187) | v1(constB187)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12342,plain,
% 7.00/5.12 ((~((~v39(constB187)) <=> v1(constB187))) | v39(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12341, 12340])).
% 7.00/5.12 tff(12343,plain,
% 7.00/5.12 (v39(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12342, 12337])).
% 7.00/5.12 tff(12344,plain,
% 7.00/5.12 ((~((~v39(constB187)) | (~v9(constB187)))) | (~v39(constB187)) | (~v9(constB187))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12345,plain,
% 7.00/5.12 ((~((~v39(constB187)) | (~v9(constB187)))) | (~v9(constB187))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12344, 12343])).
% 7.00/5.12 tff(12346,plain,
% 7.00/5.12 (~((~v39(constB187)) | (~v9(constB187)))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12345, 12335])).
% 7.00/5.12 tff(12347,plain,
% 7.00/5.12 ((~(v184(constB187) <=> (~((~v39(constB187)) | (~v9(constB187)))))) | v184(constB187) | ((~v39(constB187)) | (~v9(constB187)))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12348,plain,
% 7.00/5.12 (v184(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12347, 12346, 12295])).
% 7.00/5.12 tff(12349,plain,
% 7.00/5.12 ((v184(constB187) | v26(constB187)) | (~v184(constB187))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12350,plain,
% 7.00/5.12 (v184(constB187) | v26(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12349, 12348])).
% 7.00/5.12 tff(12351,plain,
% 7.00/5.12 ((~(v183(constB187) <=> (v184(constB187) | v26(constB187)))) | v183(constB187) | (~(v184(constB187) | v26(constB187)))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12352,plain,
% 7.00/5.12 (v183(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12351, 12350, 12293])).
% 7.00/5.12 tff(12353,plain,
% 7.00/5.12 ((~((~v182(constB187)) <=> v183(constB187))) | (~v182(constB187)) | (~v183(constB187))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12354,plain,
% 7.00/5.12 (~v182(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12353, 12352, 12291])).
% 7.00/5.12 tff(12355,plain,
% 7.00/5.12 (((~v157(constB187)) | (~v182(constB187))) | v182(constB187)),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12356,plain,
% 7.00/5.12 ((~v157(constB187)) | (~v182(constB187))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12355, 12354])).
% 7.00/5.12 tff(12357,plain,
% 7.00/5.12 ((~(v181(constB187) <=> (~((~v157(constB187)) | (~v182(constB187)))))) | (~v181(constB187)) | (~((~v157(constB187)) | (~v182(constB187))))),
% 7.00/5.12 inference(tautology,[status(thm)],[])).
% 7.00/5.12 tff(12358,plain,
% 7.00/5.12 (~v181(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12357, 12356, 12289])).
% 7.00/5.12 tff(12359,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB187) <=> (~((~v186(constB187)) | (~v187(constB187)))))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12360,plain,
% 7.00/5.12 (v185(constB187) <=> (~((~v186(constB187)) | (~v187(constB187))))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12359, 96])).
% 7.00/5.12 tff(12361,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB187) <=> (~((~v184(constB187)) | (~v159(constB187)))))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12362,plain,
% 7.00/5.12 (v187(constB187) <=> (~((~v184(constB187)) | (~v159(constB187))))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12361, 108])).
% 7.00/5.12 tff(12363,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB187) <=> v161(constB187))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12364,plain,
% 7.00/5.12 (v159(constB187) <=> v161(constB187)),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12363, 345])).
% 7.00/5.12 tff(12365,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB187) <=> (v145(constB187) | v165(constB187)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12366,plain,
% 7.00/5.12 (v164(constB187) <=> (v145(constB187) | v165(constB187))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12365, 357])).
% 7.00/5.12 tff(12367,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB187) <=> (v142(constB187) | v166(constB187)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12368,plain,
% 7.00/5.12 (v165(constB187) <=> (v142(constB187) | v166(constB187))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12367, 369])).
% 7.00/5.12 tff(12369,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB187) <=> (v141(constB187) | v167(constB187)))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12370,plain,
% 7.00/5.12 (v166(constB187) <=> (v141(constB187) | v167(constB187))),
% 7.00/5.12 inference(unit_resolution,[status(thm)],[12369, 381])).
% 7.00/5.12 tff(12371,plain,
% 7.00/5.12 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB187) <=> (~((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB187) <=> (~((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0))))))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12372,plain,
% 7.00/5.12 ((v141(constB187) <=> (~(v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0))))) <=> (v141(constB187) <=> (~((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))))),
% 7.00/5.12 inference(rewrite,[status(thm)],[])).
% 7.00/5.12 tff(12373,plain,
% 7.00/5.12 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB187) <=> (~(v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB187) <=> (~((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0))))))),
% 7.00/5.12 inference(monotonicity,[status(thm)],[12372])).
% 7.00/5.12 tff(12374,plain,
% 7.00/5.12 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB187) <=> (~(v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB187) <=> (~((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0))))))),
% 7.00/5.12 inference(transitivity,[status(thm)],[12373, 12371])).
% 7.00/5.12 tff(12375,plain,
% 7.00/5.12 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB187) <=> (~(v88(constB187, bitIndex2) | (~v88(constB187, bitIndex1)) | (~v88(constB187, bitIndex0)))))),
% 7.00/5.12 inference(quant_inst,[status(thm)],[])).
% 7.00/5.12 tff(12376,plain,
% 7.00/5.13 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB187) <=> (~((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))))),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12375, 12374])).
% 7.00/5.13 tff(12377,plain,
% 7.00/5.13 (v141(constB187) <=> (~((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0))))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12376, 396])).
% 7.00/5.13 tff(12378,plain,
% 7.00/5.13 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB187, bitIndex1)) <=> v90(constB187, bitIndex1)) | ((~v88(constB187, bitIndex2)) <=> v90(constB187, bitIndex2)) | ((~v88(constB187, bitIndex0)) <=> v90(constB187, bitIndex0))))),
% 7.00/5.13 inference(quant_inst,[status(thm)],[])).
% 7.00/5.13 tff(12379,plain,
% 7.00/5.13 (~(((~v88(constB187, bitIndex1)) <=> v90(constB187, bitIndex1)) | ((~v88(constB187, bitIndex2)) <=> v90(constB187, bitIndex2)) | ((~v88(constB187, bitIndex0)) <=> v90(constB187, bitIndex0)))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12378, 416])).
% 7.00/5.13 tff(12380,plain,
% 7.00/5.13 ((((~v88(constB187, bitIndex1)) <=> v90(constB187, bitIndex1)) | ((~v88(constB187, bitIndex2)) <=> v90(constB187, bitIndex2)) | ((~v88(constB187, bitIndex0)) <=> v90(constB187, bitIndex0))) | (~((~v88(constB187, bitIndex2)) <=> v90(constB187, bitIndex2)))),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12381,plain,
% 7.00/5.13 (~((~v88(constB187, bitIndex2)) <=> v90(constB187, bitIndex2))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12380, 12379])).
% 7.00/5.13 tff(12382,plain,
% 7.00/5.13 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12383,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_186')).
% 7.00/5.13 tff(12384,plain,
% 7.00/5.13 (nextState(constB186, constB187)),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12383, 12382])).
% 7.00/5.13 tff(12385,plain,
% 7.00/5.13 (((~![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))))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12386,plain,
% 7.00/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))))),
% 7.00/5.13 inference(quant_inst,[status(thm)],[])).
% 7.00/5.13 tff(12387,plain,
% 7.00/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB186, constB187)) | (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12386, 12385])).
% 7.00/5.13 tff(12388,plain,
% 7.00/5.13 (v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187))))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12387, 12384, 433])).
% 7.00/5.13 tff(12389,plain,
% 7.00/5.13 (((~![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))))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12390,plain,
% 7.00/5.13 (((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187)))))) <=> ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12391,plain,
% 7.00/5.13 (((~![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)))))))),
% 7.00/5.13 inference(monotonicity,[status(thm)],[12390])).
% 7.00/5.13 tff(12392,plain,
% 7.00/5.13 (((~![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))))))),
% 7.00/5.13 inference(transitivity,[status(thm)],[12391, 12389])).
% 7.00/5.13 tff(12393,plain,
% 7.00/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v102(constB187)) | (~v1(constB187))))))),
% 7.00/5.13 inference(quant_inst,[status(thm)],[])).
% 7.00/5.13 tff(12394,plain,
% 7.00/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12393, 12392])).
% 7.00/5.13 tff(12395,plain,
% 7.00/5.13 (v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187))))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12394, 12384, 453])).
% 7.00/5.13 tff(12396,plain,
% 7.00/5.13 (((~v1(constB187)) | (~v102(constB187))) | v1(constB187)),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12397,plain,
% 7.00/5.13 ((~v1(constB187)) | (~v102(constB187))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12396, 12340])).
% 7.00/5.13 tff(12398,plain,
% 7.00/5.13 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187)) | (~((~v1(constB187)) | (~v102(constB187))))),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12399,plain,
% 7.00/5.13 ((~(v101(constB187) <=> (~((~v1(constB187)) | (~v102(constB187)))))) | (~v101(constB187))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12398, 12397])).
% 7.00/5.13 tff(12400,plain,
% 7.00/5.13 (~v101(constB187)),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12399, 12395])).
% 7.00/5.13 tff(12401,plain,
% 7.00/5.13 (((~v101(constB187)) | (~v110(constB187))) | v101(constB187)),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12402,plain,
% 7.00/5.13 ((~v101(constB187)) | (~v110(constB187))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12401, 12400])).
% 7.00/5.13 tff(12403,plain,
% 7.00/5.13 ((~(v100(constB187) <=> (~((~v101(constB187)) | (~v110(constB187)))))) | (~v100(constB187)) | (~((~v101(constB187)) | (~v110(constB187))))),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12404,plain,
% 7.00/5.13 (~v100(constB187)),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12403, 12402, 12388])).
% 7.00/5.13 tff(12405,plain,
% 7.00/5.13 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12406,plain,
% 7.00/5.13 ((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)))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12407,plain,
% 7.00/5.13 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.00/5.13 inference(monotonicity,[status(thm)],[12406])).
% 7.00/5.13 tff(12408,plain,
% 7.00/5.13 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.13 inference(transitivity,[status(thm)],[12407, 12405])).
% 7.00/5.13 tff(12409,plain,
% 7.00/5.13 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.13 inference(quant_inst,[status(thm)],[])).
% 7.00/5.13 tff(12410,plain,
% 7.00/5.13 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12409, 12408])).
% 7.00/5.13 tff(12411,plain,
% 7.00/5.13 (v100(constB187) | (~(((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12410, 12384, 482])).
% 7.00/5.13 tff(12412,plain,
% 7.00/5.13 (~(((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12411, 12404])).
% 7.00/5.13 tff(12413,plain,
% 7.00/5.13 ((((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))) | (~((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)))),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12414,plain,
% 7.00/5.13 (~((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12413, 12412])).
% 7.00/5.13 tff(12415,plain,
% 7.00/5.13 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12416,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_185')).
% 7.00/5.13 tff(12417,plain,
% 7.00/5.13 (nextState(constB185, constB186)),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12416, 12415])).
% 7.00/5.13 tff(12418,plain,
% 7.00/5.13 (((~![VarNext: $i, 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)))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12419,plain,
% 7.00/5.13 ((~![VarNext: $i, 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)))))),
% 7.00/5.13 inference(quant_inst,[status(thm)],[])).
% 7.00/5.13 tff(12420,plain,
% 7.00/5.13 ((~![VarNext: $i, 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))))),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12419, 12418])).
% 7.00/5.13 tff(12421,plain,
% 7.00/5.13 (~(((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0)))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12420, 12417, 505])).
% 7.00/5.13 tff(12422,plain,
% 7.00/5.13 ((((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0))) | (~((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)))),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12423,plain,
% 7.00/5.13 (~((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12422, 12421])).
% 7.00/5.13 tff(12424,plain,
% 7.00/5.13 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB185) <=> v26(constB185))),
% 7.00/5.13 inference(quant_inst,[status(thm)],[])).
% 7.00/5.13 tff(12425,plain,
% 7.00/5.13 (v111(constB185) <=> v26(constB185)),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12424, 524])).
% 7.00/5.13 tff(12426,plain,
% 7.00/5.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 7.00/5.13 inference(quant_inst,[status(thm)],[])).
% 7.00/5.13 tff(12427,plain,
% 7.00/5.13 (~v26(constB185)),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12426, 536])).
% 7.00/5.13 tff(12428,plain,
% 7.00/5.13 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185)) | v26(constB185)),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12429,plain,
% 7.00/5.13 ((~(v111(constB185) <=> v26(constB185))) | (~v111(constB185))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12428, 12427])).
% 7.00/5.13 tff(12430,plain,
% 7.00/5.13 (~v111(constB185)),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12429, 12425])).
% 7.00/5.13 tff(12431,plain,
% 7.00/5.13 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB185) | (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB185) | (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12432,plain,
% 7.00/5.13 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB185) | (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)))))),
% 7.00/5.13 inference(quant_inst,[status(thm)],[])).
% 7.00/5.13 tff(12433,plain,
% 7.00/5.13 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB185) | (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1))))),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12432, 12431])).
% 7.00/5.13 tff(12434,plain,
% 7.00/5.13 (v111(constB185) | (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1))))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12433, 554])).
% 7.00/5.13 tff(12435,plain,
% 7.00/5.13 (~(((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12434, 12430])).
% 7.00/5.13 tff(12436,plain,
% 7.00/5.13 ((((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1))) | (~((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)))),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12437,plain,
% 7.00/5.13 (~((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12436, 12435])).
% 7.00/5.13 tff(12438,plain,
% 7.00/5.13 (((~![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))))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12439,plain,
% 7.00/5.13 ((v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1))))) <=> (v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12440,plain,
% 7.00/5.13 (((~![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))))))),
% 7.00/5.13 inference(monotonicity,[status(thm)],[12439])).
% 7.00/5.13 tff(12441,plain,
% 7.00/5.13 (((~![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))))))),
% 7.00/5.13 inference(transitivity,[status(thm)],[12440, 12438])).
% 7.00/5.13 tff(12442,plain,
% 7.00/5.13 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex0) | v90(constB185, bitIndex2) | (~v90(constB185, bitIndex1)))))),
% 7.00/5.13 inference(quant_inst,[status(thm)],[])).
% 7.00/5.13 tff(12443,plain,
% 7.00/5.13 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)))))),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12442, 12441])).
% 7.00/5.13 tff(12444,plain,
% 7.00/5.13 (v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1))))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12443, 574])).
% 7.00/5.13 tff(12445,plain,
% 7.00/5.13 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12446,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_184')).
% 7.00/5.13 tff(12447,plain,
% 7.00/5.13 (nextState(constB184, constB185)),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12446, 12445])).
% 7.00/5.13 tff(12448,plain,
% 7.00/5.13 (((~![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))))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12449,plain,
% 7.00/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))))),
% 7.00/5.13 inference(quant_inst,[status(thm)],[])).
% 7.00/5.13 tff(12450,plain,
% 7.00/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB184, constB185)) | (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12449, 12448])).
% 7.00/5.13 tff(12451,plain,
% 7.00/5.13 (v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185))))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12450, 12447, 433])).
% 7.00/5.13 tff(12452,plain,
% 7.00/5.13 (((~![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))))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12453,plain,
% 7.00/5.13 (((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185)))))) <=> ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12454,plain,
% 7.00/5.13 (((~![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)))))))),
% 7.00/5.13 inference(monotonicity,[status(thm)],[12453])).
% 7.00/5.13 tff(12455,plain,
% 7.00/5.13 (((~![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))))))),
% 7.00/5.13 inference(transitivity,[status(thm)],[12454, 12452])).
% 7.00/5.13 tff(12456,plain,
% 7.00/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v102(constB185)) | (~v1(constB185))))))),
% 7.00/5.13 inference(quant_inst,[status(thm)],[])).
% 7.00/5.13 tff(12457,plain,
% 7.00/5.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12456, 12455])).
% 7.00/5.13 tff(12458,plain,
% 7.00/5.13 (v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185))))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12457, 12447, 453])).
% 7.00/5.13 tff(12459,plain,
% 7.00/5.13 ((~v1(constB185)) <=> (~v1(constB185))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12460,axiom,(~v1(constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_185')).
% 7.00/5.13 tff(12461,plain,
% 7.00/5.13 (~v1(constB185)),
% 7.00/5.13 inference(modus_ponens,[status(thm)],[12460, 12459])).
% 7.00/5.13 tff(12462,plain,
% 7.00/5.13 (((~v1(constB185)) | (~v102(constB185))) | v1(constB185)),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12463,plain,
% 7.00/5.13 ((~v1(constB185)) | (~v102(constB185))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12462, 12461])).
% 7.00/5.13 tff(12464,plain,
% 7.00/5.13 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185)) | (~((~v1(constB185)) | (~v102(constB185))))),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12465,plain,
% 7.00/5.13 ((~(v101(constB185) <=> (~((~v1(constB185)) | (~v102(constB185)))))) | (~v101(constB185))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12464, 12463])).
% 7.00/5.13 tff(12466,plain,
% 7.00/5.13 (~v101(constB185)),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12465, 12458])).
% 7.00/5.13 tff(12467,plain,
% 7.00/5.13 (((~v101(constB185)) | (~v110(constB185))) | v101(constB185)),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12468,plain,
% 7.00/5.13 ((~v101(constB185)) | (~v110(constB185))),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12467, 12466])).
% 7.00/5.13 tff(12469,plain,
% 7.00/5.13 ((~(v100(constB185) <=> (~((~v101(constB185)) | (~v110(constB185)))))) | (~v100(constB185)) | (~((~v101(constB185)) | (~v110(constB185))))),
% 7.00/5.13 inference(tautology,[status(thm)],[])).
% 7.00/5.13 tff(12470,plain,
% 7.00/5.13 (~v100(constB185)),
% 7.00/5.13 inference(unit_resolution,[status(thm)],[12469, 12468, 12451])).
% 7.00/5.13 tff(12471,plain,
% 7.00/5.13 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12472,plain,
% 7.00/5.13 ((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)))))),
% 7.00/5.13 inference(rewrite,[status(thm)],[])).
% 7.00/5.13 tff(12473,plain,
% 7.00/5.13 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.00/5.13 inference(monotonicity,[status(thm)],[12472])).
% 7.00/5.13 tff(12474,plain,
% 7.00/5.13 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.14 inference(transitivity,[status(thm)],[12473, 12471])).
% 7.00/5.14 tff(12475,plain,
% 7.00/5.14 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12476,plain,
% 7.00/5.14 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.00/5.14 inference(modus_ponens,[status(thm)],[12475, 12474])).
% 7.00/5.14 tff(12477,plain,
% 7.00/5.14 (v100(constB185) | (~(((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12476, 12447, 482])).
% 7.00/5.14 tff(12478,plain,
% 7.00/5.14 (~(((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12477, 12470])).
% 7.00/5.14 tff(12479,plain,
% 7.00/5.14 ((((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))) | (~((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)))),
% 7.00/5.14 inference(tautology,[status(thm)],[])).
% 7.00/5.14 tff(12480,plain,
% 7.00/5.14 (~((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12479, 12478])).
% 7.00/5.14 tff(12481,plain,
% 7.00/5.14 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12482,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_183')).
% 7.00/5.14 tff(12483,plain,
% 7.00/5.14 (nextState(constB183, constB184)),
% 7.00/5.14 inference(modus_ponens,[status(thm)],[12482, 12481])).
% 7.00/5.14 tff(12484,plain,
% 7.00/5.14 (((~![VarNext: $i, 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)))))),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12485,plain,
% 7.00/5.14 ((~![VarNext: $i, 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)))))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12486,plain,
% 7.00/5.14 ((~![VarNext: $i, 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))))),
% 7.00/5.14 inference(modus_ponens,[status(thm)],[12485, 12484])).
% 7.00/5.14 tff(12487,plain,
% 7.00/5.14 (~(((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0)))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12486, 12483, 505])).
% 7.00/5.14 tff(12488,plain,
% 7.00/5.14 ((((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0))) | (~((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)))),
% 7.00/5.14 inference(tautology,[status(thm)],[])).
% 7.00/5.14 tff(12489,plain,
% 7.00/5.14 (~((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12488, 12487])).
% 7.00/5.14 tff(12490,plain,
% 7.00/5.14 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB183) <=> v26(constB183))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12491,plain,
% 7.00/5.14 (v111(constB183) <=> v26(constB183)),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12490, 524])).
% 7.00/5.14 tff(12492,plain,
% 7.00/5.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12493,plain,
% 7.00/5.14 (~v26(constB183)),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12492, 536])).
% 7.00/5.14 tff(12494,plain,
% 7.00/5.14 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183)) | v26(constB183)),
% 7.00/5.14 inference(tautology,[status(thm)],[])).
% 7.00/5.14 tff(12495,plain,
% 7.00/5.14 ((~(v111(constB183) <=> v26(constB183))) | (~v111(constB183))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12494, 12493])).
% 7.00/5.14 tff(12496,plain,
% 7.00/5.14 (~v111(constB183)),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12495, 12491])).
% 7.00/5.14 tff(12497,plain,
% 7.00/5.14 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB183) | (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB183) | (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)))))),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12498,plain,
% 7.00/5.14 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB183) | (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)))))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12499,plain,
% 7.00/5.14 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB183) | (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1))))),
% 7.00/5.14 inference(modus_ponens,[status(thm)],[12498, 12497])).
% 7.00/5.14 tff(12500,plain,
% 7.00/5.14 (v111(constB183) | (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1))))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12499, 554])).
% 7.00/5.14 tff(12501,plain,
% 7.00/5.14 (~(((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12500, 12496])).
% 7.00/5.14 tff(12502,plain,
% 7.00/5.14 ((((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1))) | (~((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)))),
% 7.00/5.14 inference(tautology,[status(thm)],[])).
% 7.00/5.14 tff(12503,plain,
% 7.00/5.14 (~((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12502, 12501])).
% 7.00/5.14 tff(12504,plain,
% 7.00/5.14 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0)))))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12505,plain,
% 7.00/5.14 (v120(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0))))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12504, 653])).
% 7.00/5.14 tff(12506,plain,
% 7.00/5.14 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12507,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_182')).
% 7.00/5.14 tff(12508,plain,
% 7.00/5.14 (nextState(constB182, constB183)),
% 7.00/5.14 inference(modus_ponens,[status(thm)],[12507, 12506])).
% 7.00/5.14 tff(12509,plain,
% 7.00/5.14 (((~![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))))))),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12510,plain,
% 7.00/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12511,plain,
% 7.00/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB182, constB183)) | (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))),
% 7.00/5.14 inference(modus_ponens,[status(thm)],[12510, 12509])).
% 7.00/5.14 tff(12512,plain,
% 7.00/5.14 (v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183))))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12511, 12508, 433])).
% 7.00/5.14 tff(12513,plain,
% 7.00/5.14 (((~![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))))))),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12514,plain,
% 7.00/5.14 (((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183)))))) <=> ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))))),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12515,plain,
% 7.00/5.14 (((~![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)))))))),
% 7.00/5.14 inference(monotonicity,[status(thm)],[12514])).
% 7.00/5.14 tff(12516,plain,
% 7.00/5.14 (((~![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))))))),
% 7.00/5.14 inference(transitivity,[status(thm)],[12515, 12513])).
% 7.00/5.14 tff(12517,plain,
% 7.00/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v102(constB183)) | (~v1(constB183))))))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12518,plain,
% 7.00/5.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))),
% 7.00/5.14 inference(modus_ponens,[status(thm)],[12517, 12516])).
% 7.00/5.14 tff(12519,plain,
% 7.00/5.14 (v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183))))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12518, 12508, 453])).
% 7.00/5.14 tff(12520,plain,
% 7.00/5.14 ((~v1(constB183)) <=> (~v1(constB183))),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12521,axiom,(~v1(constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_183')).
% 7.00/5.14 tff(12522,plain,
% 7.00/5.14 (~v1(constB183)),
% 7.00/5.14 inference(modus_ponens,[status(thm)],[12521, 12520])).
% 7.00/5.14 tff(12523,plain,
% 7.00/5.14 (((~v1(constB183)) | (~v102(constB183))) | v1(constB183)),
% 7.00/5.14 inference(tautology,[status(thm)],[])).
% 7.00/5.14 tff(12524,plain,
% 7.00/5.14 ((~v1(constB183)) | (~v102(constB183))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12523, 12522])).
% 7.00/5.14 tff(12525,plain,
% 7.00/5.14 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183)) | (~((~v1(constB183)) | (~v102(constB183))))),
% 7.00/5.14 inference(tautology,[status(thm)],[])).
% 7.00/5.14 tff(12526,plain,
% 7.00/5.14 ((~(v101(constB183) <=> (~((~v1(constB183)) | (~v102(constB183)))))) | (~v101(constB183))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12525, 12524])).
% 7.00/5.14 tff(12527,plain,
% 7.00/5.14 (~v101(constB183)),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12526, 12519])).
% 7.00/5.14 tff(12528,plain,
% 7.00/5.14 (((~v101(constB183)) | (~v110(constB183))) | v101(constB183)),
% 7.00/5.14 inference(tautology,[status(thm)],[])).
% 7.00/5.14 tff(12529,plain,
% 7.00/5.14 ((~v101(constB183)) | (~v110(constB183))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12528, 12527])).
% 7.00/5.14 tff(12530,plain,
% 7.00/5.14 ((~(v100(constB183) <=> (~((~v101(constB183)) | (~v110(constB183)))))) | (~v100(constB183)) | (~((~v101(constB183)) | (~v110(constB183))))),
% 7.00/5.14 inference(tautology,[status(thm)],[])).
% 7.00/5.14 tff(12531,plain,
% 7.00/5.14 (~v100(constB183)),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12530, 12529, 12512])).
% 7.00/5.14 tff(12532,plain,
% 7.00/5.14 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12533,plain,
% 7.00/5.14 ((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)))))),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12534,plain,
% 7.00/5.14 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.00/5.14 inference(monotonicity,[status(thm)],[12533])).
% 7.00/5.14 tff(12535,plain,
% 7.00/5.14 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.14 inference(transitivity,[status(thm)],[12534, 12532])).
% 7.00/5.14 tff(12536,plain,
% 7.00/5.14 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12537,plain,
% 7.00/5.14 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.00/5.14 inference(modus_ponens,[status(thm)],[12536, 12535])).
% 7.00/5.14 tff(12538,plain,
% 7.00/5.14 (v100(constB183) | (~(((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12537, 12508, 482])).
% 7.00/5.14 tff(12539,plain,
% 7.00/5.14 (~(((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12538, 12531])).
% 7.00/5.14 tff(12540,plain,
% 7.00/5.14 ((((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))) | (~((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)))),
% 7.00/5.14 inference(tautology,[status(thm)],[])).
% 7.00/5.14 tff(12541,plain,
% 7.00/5.14 (~((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12540, 12539])).
% 7.00/5.14 tff(12542,plain,
% 7.00/5.14 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12543,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_181')).
% 7.00/5.14 tff(12544,plain,
% 7.00/5.14 (nextState(constB181, constB182)),
% 7.00/5.14 inference(modus_ponens,[status(thm)],[12543, 12542])).
% 7.00/5.14 tff(12545,plain,
% 7.00/5.14 (((~![VarNext: $i, 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)))))),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12546,plain,
% 7.00/5.14 ((~![VarNext: $i, 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)))))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12547,plain,
% 7.00/5.14 ((~![VarNext: $i, 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))))),
% 7.00/5.14 inference(modus_ponens,[status(thm)],[12546, 12545])).
% 7.00/5.14 tff(12548,plain,
% 7.00/5.14 (~(((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0)))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12547, 12544, 505])).
% 7.00/5.14 tff(12549,plain,
% 7.00/5.14 ((((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0))) | (~((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)))),
% 7.00/5.14 inference(tautology,[status(thm)],[])).
% 7.00/5.14 tff(12550,plain,
% 7.00/5.14 (~((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12549, 12548])).
% 7.00/5.14 tff(12551,plain,
% 7.00/5.14 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB181) <=> v26(constB181))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12552,plain,
% 7.00/5.14 (v111(constB181) <=> v26(constB181)),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12551, 524])).
% 7.00/5.14 tff(12553,plain,
% 7.00/5.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12554,plain,
% 7.00/5.14 (~v26(constB181)),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12553, 536])).
% 7.00/5.14 tff(12555,plain,
% 7.00/5.14 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181)) | v26(constB181)),
% 7.00/5.14 inference(tautology,[status(thm)],[])).
% 7.00/5.14 tff(12556,plain,
% 7.00/5.14 ((~(v111(constB181) <=> v26(constB181))) | (~v111(constB181))),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12555, 12554])).
% 7.00/5.14 tff(12557,plain,
% 7.00/5.14 (~v111(constB181)),
% 7.00/5.14 inference(unit_resolution,[status(thm)],[12556, 12552])).
% 7.00/5.14 tff(12558,plain,
% 7.00/5.14 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB181) | (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB181) | (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)))))),
% 7.00/5.14 inference(rewrite,[status(thm)],[])).
% 7.00/5.14 tff(12559,plain,
% 7.00/5.14 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB181) | (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)))))),
% 7.00/5.14 inference(quant_inst,[status(thm)],[])).
% 7.00/5.14 tff(12560,plain,
% 7.00/5.15 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB181) | (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1))))),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12559, 12558])).
% 7.00/5.15 tff(12561,plain,
% 7.00/5.15 (v111(constB181) | (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1))))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12560, 554])).
% 7.00/5.15 tff(12562,plain,
% 7.00/5.15 (~(((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12561, 12557])).
% 7.00/5.15 tff(12563,plain,
% 7.00/5.15 ((((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1))) | (~((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)))),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12564,plain,
% 7.00/5.15 (~((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12563, 12562])).
% 7.00/5.15 tff(12565,plain,
% 7.00/5.15 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))))),
% 7.00/5.15 inference(quant_inst,[status(thm)],[])).
% 7.00/5.15 tff(12566,plain,
% 7.00/5.15 (v119(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12565, 727])).
% 7.00/5.15 tff(12567,plain,
% 7.00/5.15 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12568,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_180')).
% 7.00/5.15 tff(12569,plain,
% 7.00/5.15 (nextState(constB180, constB181)),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12568, 12567])).
% 7.00/5.15 tff(12570,plain,
% 7.00/5.15 (((~![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))))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12571,plain,
% 7.00/5.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))))),
% 7.00/5.15 inference(quant_inst,[status(thm)],[])).
% 7.00/5.15 tff(12572,plain,
% 7.00/5.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB180, constB181)) | (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12571, 12570])).
% 7.00/5.15 tff(12573,plain,
% 7.00/5.15 (v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181))))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12572, 12569, 433])).
% 7.00/5.15 tff(12574,plain,
% 7.00/5.15 (((~![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))))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12575,plain,
% 7.00/5.15 (((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181)))))) <=> ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12576,plain,
% 7.00/5.15 (((~![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)))))))),
% 7.00/5.15 inference(monotonicity,[status(thm)],[12575])).
% 7.00/5.15 tff(12577,plain,
% 7.00/5.15 (((~![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))))))),
% 7.00/5.15 inference(transitivity,[status(thm)],[12576, 12574])).
% 7.00/5.15 tff(12578,plain,
% 7.00/5.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v102(constB181)) | (~v1(constB181))))))),
% 7.00/5.15 inference(quant_inst,[status(thm)],[])).
% 7.00/5.15 tff(12579,plain,
% 7.00/5.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12578, 12577])).
% 7.00/5.15 tff(12580,plain,
% 7.00/5.15 (v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181))))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12579, 12569, 453])).
% 7.00/5.15 tff(12581,plain,
% 7.00/5.15 ((~v1(constB181)) <=> (~v1(constB181))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12582,axiom,(~v1(constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_181')).
% 7.00/5.15 tff(12583,plain,
% 7.00/5.15 (~v1(constB181)),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12582, 12581])).
% 7.00/5.15 tff(12584,plain,
% 7.00/5.15 (((~v1(constB181)) | (~v102(constB181))) | v1(constB181)),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12585,plain,
% 7.00/5.15 ((~v1(constB181)) | (~v102(constB181))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12584, 12583])).
% 7.00/5.15 tff(12586,plain,
% 7.00/5.15 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181)) | (~((~v1(constB181)) | (~v102(constB181))))),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12587,plain,
% 7.00/5.15 ((~(v101(constB181) <=> (~((~v1(constB181)) | (~v102(constB181)))))) | (~v101(constB181))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12586, 12585])).
% 7.00/5.15 tff(12588,plain,
% 7.00/5.15 (~v101(constB181)),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12587, 12580])).
% 7.00/5.15 tff(12589,plain,
% 7.00/5.15 (((~v101(constB181)) | (~v110(constB181))) | v101(constB181)),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12590,plain,
% 7.00/5.15 ((~v101(constB181)) | (~v110(constB181))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12589, 12588])).
% 7.00/5.15 tff(12591,plain,
% 7.00/5.15 ((~(v100(constB181) <=> (~((~v101(constB181)) | (~v110(constB181)))))) | (~v100(constB181)) | (~((~v101(constB181)) | (~v110(constB181))))),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12592,plain,
% 7.00/5.15 (~v100(constB181)),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12591, 12590, 12573])).
% 7.00/5.15 tff(12593,plain,
% 7.00/5.15 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12594,plain,
% 7.00/5.15 ((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)))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12595,plain,
% 7.00/5.15 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.00/5.15 inference(monotonicity,[status(thm)],[12594])).
% 7.00/5.15 tff(12596,plain,
% 7.00/5.15 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.15 inference(transitivity,[status(thm)],[12595, 12593])).
% 7.00/5.15 tff(12597,plain,
% 7.00/5.15 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.15 inference(quant_inst,[status(thm)],[])).
% 7.00/5.15 tff(12598,plain,
% 7.00/5.15 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12597, 12596])).
% 7.00/5.15 tff(12599,plain,
% 7.00/5.15 (v100(constB181) | (~(((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12598, 12569, 482])).
% 7.00/5.15 tff(12600,plain,
% 7.00/5.15 (~(((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12599, 12592])).
% 7.00/5.15 tff(12601,plain,
% 7.00/5.15 ((((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))) | (~((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)))),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12602,plain,
% 7.00/5.15 (~((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12601, 12600])).
% 7.00/5.15 tff(12603,plain,
% 7.00/5.15 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12604,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_179')).
% 7.00/5.15 tff(12605,plain,
% 7.00/5.15 (nextState(constB179, constB180)),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12604, 12603])).
% 7.00/5.15 tff(12606,plain,
% 7.00/5.15 (((~![VarNext: $i, 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)))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12607,plain,
% 7.00/5.15 ((~![VarNext: $i, 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)))))),
% 7.00/5.15 inference(quant_inst,[status(thm)],[])).
% 7.00/5.15 tff(12608,plain,
% 7.00/5.15 ((~![VarNext: $i, 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))))),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12607, 12606])).
% 7.00/5.15 tff(12609,plain,
% 7.00/5.15 (~(((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0)))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12608, 12605, 505])).
% 7.00/5.15 tff(12610,plain,
% 7.00/5.15 ((((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0))) | (~((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)))),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12611,plain,
% 7.00/5.15 (~((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12610, 12609])).
% 7.00/5.15 tff(12612,plain,
% 7.00/5.15 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB179) <=> v26(constB179))),
% 7.00/5.15 inference(quant_inst,[status(thm)],[])).
% 7.00/5.15 tff(12613,plain,
% 7.00/5.15 (v111(constB179) <=> v26(constB179)),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12612, 524])).
% 7.00/5.15 tff(12614,plain,
% 7.00/5.15 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 7.00/5.15 inference(quant_inst,[status(thm)],[])).
% 7.00/5.15 tff(12615,plain,
% 7.00/5.15 (~v26(constB179)),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12614, 536])).
% 7.00/5.15 tff(12616,plain,
% 7.00/5.15 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179)) | v26(constB179)),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12617,plain,
% 7.00/5.15 ((~(v111(constB179) <=> v26(constB179))) | (~v111(constB179))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12616, 12615])).
% 7.00/5.15 tff(12618,plain,
% 7.00/5.15 (~v111(constB179)),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12617, 12613])).
% 7.00/5.15 tff(12619,plain,
% 7.00/5.15 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB179) | (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB179) | (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12620,plain,
% 7.00/5.15 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB179) | (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)))))),
% 7.00/5.15 inference(quant_inst,[status(thm)],[])).
% 7.00/5.15 tff(12621,plain,
% 7.00/5.15 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB179) | (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1))))),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12620, 12619])).
% 7.00/5.15 tff(12622,plain,
% 7.00/5.15 (v111(constB179) | (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1))))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12621, 554])).
% 7.00/5.15 tff(12623,plain,
% 7.00/5.15 (~(((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12622, 12618])).
% 7.00/5.15 tff(12624,plain,
% 7.00/5.15 ((((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1))) | (~((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)))),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12625,plain,
% 7.00/5.15 (~((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12624, 12623])).
% 7.00/5.15 tff(12626,plain,
% 7.00/5.15 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0))))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12627,plain,
% 7.00/5.15 ((v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)) | (~v90(constB179, bitIndex2))))) <=> (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0)))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12628,plain,
% 7.00/5.15 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)) | (~v90(constB179, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0))))))),
% 7.00/5.15 inference(monotonicity,[status(thm)],[12627])).
% 7.00/5.15 tff(12629,plain,
% 7.00/5.15 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)) | (~v90(constB179, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0))))))),
% 7.00/5.15 inference(transitivity,[status(thm)],[12628, 12626])).
% 7.00/5.15 tff(12630,plain,
% 7.00/5.15 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex0)) | (~v90(constB179, bitIndex2)))))),
% 7.00/5.15 inference(quant_inst,[status(thm)],[])).
% 7.00/5.15 tff(12631,plain,
% 7.00/5.15 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0)))))),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12630, 12629])).
% 7.00/5.15 tff(12632,plain,
% 7.00/5.15 (v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0))))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12631, 801])).
% 7.00/5.15 tff(12633,plain,
% 7.00/5.15 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12634,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_178')).
% 7.00/5.15 tff(12635,plain,
% 7.00/5.15 (nextState(constB178, constB179)),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12634, 12633])).
% 7.00/5.15 tff(12636,plain,
% 7.00/5.15 (((~![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))))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12637,plain,
% 7.00/5.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))))),
% 7.00/5.15 inference(quant_inst,[status(thm)],[])).
% 7.00/5.15 tff(12638,plain,
% 7.00/5.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB178, constB179)) | (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12637, 12636])).
% 7.00/5.15 tff(12639,plain,
% 7.00/5.15 (v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179))))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12638, 12635, 433])).
% 7.00/5.15 tff(12640,plain,
% 7.00/5.15 (((~![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))))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12641,plain,
% 7.00/5.15 (((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179)))))) <=> ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12642,plain,
% 7.00/5.15 (((~![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)))))))),
% 7.00/5.15 inference(monotonicity,[status(thm)],[12641])).
% 7.00/5.15 tff(12643,plain,
% 7.00/5.15 (((~![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))))))),
% 7.00/5.15 inference(transitivity,[status(thm)],[12642, 12640])).
% 7.00/5.15 tff(12644,plain,
% 7.00/5.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v102(constB179)) | (~v1(constB179))))))),
% 7.00/5.15 inference(quant_inst,[status(thm)],[])).
% 7.00/5.15 tff(12645,plain,
% 7.00/5.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12644, 12643])).
% 7.00/5.15 tff(12646,plain,
% 7.00/5.15 (v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179))))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12645, 12635, 453])).
% 7.00/5.15 tff(12647,plain,
% 7.00/5.15 ((~v1(constB179)) <=> (~v1(constB179))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12648,axiom,(~v1(constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_179')).
% 7.00/5.15 tff(12649,plain,
% 7.00/5.15 (~v1(constB179)),
% 7.00/5.15 inference(modus_ponens,[status(thm)],[12648, 12647])).
% 7.00/5.15 tff(12650,plain,
% 7.00/5.15 (((~v1(constB179)) | (~v102(constB179))) | v1(constB179)),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12651,plain,
% 7.00/5.15 ((~v1(constB179)) | (~v102(constB179))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12650, 12649])).
% 7.00/5.15 tff(12652,plain,
% 7.00/5.15 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179)) | (~((~v1(constB179)) | (~v102(constB179))))),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12653,plain,
% 7.00/5.15 ((~(v101(constB179) <=> (~((~v1(constB179)) | (~v102(constB179)))))) | (~v101(constB179))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12652, 12651])).
% 7.00/5.15 tff(12654,plain,
% 7.00/5.15 (~v101(constB179)),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12653, 12646])).
% 7.00/5.15 tff(12655,plain,
% 7.00/5.15 (((~v101(constB179)) | (~v110(constB179))) | v101(constB179)),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12656,plain,
% 7.00/5.15 ((~v101(constB179)) | (~v110(constB179))),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12655, 12654])).
% 7.00/5.15 tff(12657,plain,
% 7.00/5.15 ((~(v100(constB179) <=> (~((~v101(constB179)) | (~v110(constB179)))))) | (~v100(constB179)) | (~((~v101(constB179)) | (~v110(constB179))))),
% 7.00/5.15 inference(tautology,[status(thm)],[])).
% 7.00/5.15 tff(12658,plain,
% 7.00/5.15 (~v100(constB179)),
% 7.00/5.15 inference(unit_resolution,[status(thm)],[12657, 12656, 12639])).
% 7.00/5.15 tff(12659,plain,
% 7.00/5.15 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12660,plain,
% 7.00/5.15 ((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)))))),
% 7.00/5.15 inference(rewrite,[status(thm)],[])).
% 7.00/5.15 tff(12661,plain,
% 7.00/5.15 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.00/5.16 inference(monotonicity,[status(thm)],[12660])).
% 7.00/5.16 tff(12662,plain,
% 7.00/5.16 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.16 inference(transitivity,[status(thm)],[12661, 12659])).
% 7.00/5.16 tff(12663,plain,
% 7.00/5.16 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.00/5.16 inference(quant_inst,[status(thm)],[])).
% 7.00/5.16 tff(12664,plain,
% 7.00/5.16 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.00/5.16 inference(modus_ponens,[status(thm)],[12663, 12662])).
% 7.00/5.16 tff(12665,plain,
% 7.00/5.16 (v100(constB179) | (~(((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))))),
% 7.00/5.16 inference(unit_resolution,[status(thm)],[12664, 12635, 482])).
% 7.00/5.16 tff(12666,plain,
% 7.00/5.16 (~(((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)))),
% 7.00/5.16 inference(unit_resolution,[status(thm)],[12665, 12658])).
% 7.00/5.16 tff(12667,plain,
% 7.00/5.16 ((((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))) | (~((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)))),
% 7.00/5.16 inference(tautology,[status(thm)],[])).
% 7.00/5.16 tff(12668,plain,
% 7.00/5.16 (~((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2))),
% 7.00/5.16 inference(unit_resolution,[status(thm)],[12667, 12666])).
% 7.00/5.16 tff(12669,plain,
% 7.00/5.16 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 7.00/5.16 inference(rewrite,[status(thm)],[])).
% 7.00/5.16 tff(12670,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_177')).
% 7.00/5.16 tff(12671,plain,
% 7.00/5.16 (nextState(constB177, constB178)),
% 7.00/5.16 inference(modus_ponens,[status(thm)],[12670, 12669])).
% 7.00/5.16 tff(12672,plain,
% 7.00/5.16 (((~![VarNext: $i, 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)))))),
% 7.00/5.16 inference(rewrite,[status(thm)],[])).
% 7.00/5.16 tff(12673,plain,
% 7.00/5.16 ((~![VarNext: $i, 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)))))),
% 7.00/5.16 inference(quant_inst,[status(thm)],[])).
% 7.00/5.16 tff(12674,plain,
% 7.00/5.16 ((~![VarNext: $i, 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))))),
% 7.00/5.16 inference(modus_ponens,[status(thm)],[12673, 12672])).
% 7.00/5.16 tff(12675,plain,
% 7.00/5.16 (~(((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0)))),
% 7.00/5.16 inference(unit_resolution,[status(thm)],[12674, 12671, 505])).
% 7.00/5.16 tff(12676,plain,
% 7.00/5.16 ((((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0))) | (~((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)))),
% 7.00/5.16 inference(tautology,[status(thm)],[])).
% 7.00/5.16 tff(12677,plain,
% 7.00/5.16 (~((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2))),
% 7.00/5.16 inference(unit_resolution,[status(thm)],[12676, 12675])).
% 7.00/5.16 tff(12678,plain,
% 7.00/5.16 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB177) <=> v26(constB177))),
% 7.00/5.16 inference(quant_inst,[status(thm)],[])).
% 7.00/5.16 tff(12679,plain,
% 7.00/5.16 (v111(constB177) <=> v26(constB177)),
% 7.00/5.16 inference(unit_resolution,[status(thm)],[12678, 524])).
% 7.00/5.16 tff(12680,plain,
% 7.00/5.16 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 7.00/5.16 inference(quant_inst,[status(thm)],[])).
% 7.00/5.16 tff(12681,plain,
% 7.00/5.16 (~v26(constB177)),
% 7.00/5.16 inference(unit_resolution,[status(thm)],[12680, 536])).
% 7.00/5.16 tff(12682,plain,
% 7.00/5.16 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177)) | v26(constB177)),
% 7.00/5.16 inference(tautology,[status(thm)],[])).
% 7.00/5.16 tff(12683,plain,
% 7.00/5.16 ((~(v111(constB177) <=> v26(constB177))) | (~v111(constB177))),
% 7.00/5.16 inference(unit_resolution,[status(thm)],[12682, 12681])).
% 7.00/5.16 tff(12684,plain,
% 7.00/5.16 (~v111(constB177)),
% 7.00/5.16 inference(unit_resolution,[status(thm)],[12683, 12679])).
% 7.00/5.16 tff(12685,plain,
% 7.00/5.16 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB177) | (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB177) | (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)))))),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12686,plain,
% 7.05/5.16 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB177) | (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)))))),
% 7.05/5.16 inference(quant_inst,[status(thm)],[])).
% 7.05/5.16 tff(12687,plain,
% 7.05/5.16 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB177) | (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1))))),
% 7.05/5.16 inference(modus_ponens,[status(thm)],[12686, 12685])).
% 7.05/5.16 tff(12688,plain,
% 7.05/5.16 (v111(constB177) | (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1))))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12687, 554])).
% 7.05/5.16 tff(12689,plain,
% 7.05/5.16 (~(((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12688, 12684])).
% 7.05/5.16 tff(12690,plain,
% 7.05/5.16 ((((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1))) | (~((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)))),
% 7.05/5.16 inference(tautology,[status(thm)],[])).
% 7.05/5.16 tff(12691,plain,
% 7.05/5.16 (~((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12690, 12689])).
% 7.05/5.16 tff(12692,plain,
% 7.05/5.16 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2))))))),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12693,plain,
% 7.05/5.16 ((v123(constB177) <=> (~(v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2))))) <=> (v123(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2)))))),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12694,plain,
% 7.05/5.16 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2))))))),
% 7.05/5.16 inference(monotonicity,[status(thm)],[12693])).
% 7.05/5.16 tff(12695,plain,
% 7.05/5.16 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2))))))),
% 7.05/5.16 inference(transitivity,[status(thm)],[12694, 12692])).
% 7.05/5.16 tff(12696,plain,
% 7.05/5.16 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex0) | v90(constB177, bitIndex1) | (~v90(constB177, bitIndex2)))))),
% 7.05/5.16 inference(quant_inst,[status(thm)],[])).
% 7.05/5.16 tff(12697,plain,
% 7.05/5.16 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2)))))),
% 7.05/5.16 inference(modus_ponens,[status(thm)],[12696, 12695])).
% 7.05/5.16 tff(12698,plain,
% 7.05/5.16 (v123(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2))))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12697, 880])).
% 7.05/5.16 tff(12699,plain,
% 7.05/5.16 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12700,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_176')).
% 7.05/5.16 tff(12701,plain,
% 7.05/5.16 (nextState(constB176, constB177)),
% 7.05/5.16 inference(modus_ponens,[status(thm)],[12700, 12699])).
% 7.05/5.16 tff(12702,plain,
% 7.05/5.16 (((~![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))))))),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12703,plain,
% 7.05/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))))),
% 7.05/5.16 inference(quant_inst,[status(thm)],[])).
% 7.05/5.16 tff(12704,plain,
% 7.05/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB176, constB177)) | (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))),
% 7.05/5.16 inference(modus_ponens,[status(thm)],[12703, 12702])).
% 7.05/5.16 tff(12705,plain,
% 7.05/5.16 (v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177))))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12704, 12701, 433])).
% 7.05/5.16 tff(12706,plain,
% 7.05/5.16 (((~![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))))))),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12707,plain,
% 7.05/5.16 (((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177)))))) <=> ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))))),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12708,plain,
% 7.05/5.16 (((~![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)))))))),
% 7.05/5.16 inference(monotonicity,[status(thm)],[12707])).
% 7.05/5.16 tff(12709,plain,
% 7.05/5.16 (((~![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))))))),
% 7.05/5.16 inference(transitivity,[status(thm)],[12708, 12706])).
% 7.05/5.16 tff(12710,plain,
% 7.05/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v102(constB177)) | (~v1(constB177))))))),
% 7.05/5.16 inference(quant_inst,[status(thm)],[])).
% 7.05/5.16 tff(12711,plain,
% 7.05/5.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))),
% 7.05/5.16 inference(modus_ponens,[status(thm)],[12710, 12709])).
% 7.05/5.16 tff(12712,plain,
% 7.05/5.16 (v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177))))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12711, 12701, 453])).
% 7.05/5.16 tff(12713,plain,
% 7.05/5.16 ((~v1(constB177)) <=> (~v1(constB177))),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12714,axiom,(~v1(constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_177')).
% 7.05/5.16 tff(12715,plain,
% 7.05/5.16 (~v1(constB177)),
% 7.05/5.16 inference(modus_ponens,[status(thm)],[12714, 12713])).
% 7.05/5.16 tff(12716,plain,
% 7.05/5.16 (((~v1(constB177)) | (~v102(constB177))) | v1(constB177)),
% 7.05/5.16 inference(tautology,[status(thm)],[])).
% 7.05/5.16 tff(12717,plain,
% 7.05/5.16 ((~v1(constB177)) | (~v102(constB177))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12716, 12715])).
% 7.05/5.16 tff(12718,plain,
% 7.05/5.16 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177)) | (~((~v1(constB177)) | (~v102(constB177))))),
% 7.05/5.16 inference(tautology,[status(thm)],[])).
% 7.05/5.16 tff(12719,plain,
% 7.05/5.16 ((~(v101(constB177) <=> (~((~v1(constB177)) | (~v102(constB177)))))) | (~v101(constB177))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12718, 12717])).
% 7.05/5.16 tff(12720,plain,
% 7.05/5.16 (~v101(constB177)),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12719, 12712])).
% 7.05/5.16 tff(12721,plain,
% 7.05/5.16 (((~v101(constB177)) | (~v110(constB177))) | v101(constB177)),
% 7.05/5.16 inference(tautology,[status(thm)],[])).
% 7.05/5.16 tff(12722,plain,
% 7.05/5.16 ((~v101(constB177)) | (~v110(constB177))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12721, 12720])).
% 7.05/5.16 tff(12723,plain,
% 7.05/5.16 ((~(v100(constB177) <=> (~((~v101(constB177)) | (~v110(constB177)))))) | (~v100(constB177)) | (~((~v101(constB177)) | (~v110(constB177))))),
% 7.05/5.16 inference(tautology,[status(thm)],[])).
% 7.05/5.16 tff(12724,plain,
% 7.05/5.16 (~v100(constB177)),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12723, 12722, 12705])).
% 7.05/5.16 tff(12725,plain,
% 7.05/5.16 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12726,plain,
% 7.05/5.16 ((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)))))),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12727,plain,
% 7.05/5.16 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.16 inference(monotonicity,[status(thm)],[12726])).
% 7.05/5.16 tff(12728,plain,
% 7.05/5.16 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.16 inference(transitivity,[status(thm)],[12727, 12725])).
% 7.05/5.16 tff(12729,plain,
% 7.05/5.16 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.16 inference(quant_inst,[status(thm)],[])).
% 7.05/5.16 tff(12730,plain,
% 7.05/5.16 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.16 inference(modus_ponens,[status(thm)],[12729, 12728])).
% 7.05/5.16 tff(12731,plain,
% 7.05/5.16 (v100(constB177) | (~(((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12730, 12701, 482])).
% 7.05/5.16 tff(12732,plain,
% 7.05/5.16 (~(((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12731, 12724])).
% 7.05/5.16 tff(12733,plain,
% 7.05/5.16 ((((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))) | (~((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)))),
% 7.05/5.16 inference(tautology,[status(thm)],[])).
% 7.05/5.16 tff(12734,plain,
% 7.05/5.16 (~((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2))),
% 7.05/5.16 inference(unit_resolution,[status(thm)],[12733, 12732])).
% 7.05/5.16 tff(12735,plain,
% 7.05/5.16 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12736,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_175')).
% 7.05/5.16 tff(12737,plain,
% 7.05/5.16 (nextState(constB175, constB176)),
% 7.05/5.16 inference(modus_ponens,[status(thm)],[12736, 12735])).
% 7.05/5.16 tff(12738,plain,
% 7.05/5.16 (((~![VarNext: $i, 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)))))),
% 7.05/5.16 inference(rewrite,[status(thm)],[])).
% 7.05/5.16 tff(12739,plain,
% 7.05/5.16 ((~![VarNext: $i, 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)))))),
% 7.05/5.16 inference(quant_inst,[status(thm)],[])).
% 7.05/5.16 tff(12740,plain,
% 7.05/5.16 ((~![VarNext: $i, 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))))),
% 7.05/5.16 inference(modus_ponens,[status(thm)],[12739, 12738])).
% 7.05/5.16 tff(12741,plain,
% 7.05/5.16 (~(((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0)))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12740, 12737, 505])).
% 7.05/5.17 tff(12742,plain,
% 7.05/5.17 ((((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0))) | (~((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)))),
% 7.05/5.17 inference(tautology,[status(thm)],[])).
% 7.05/5.17 tff(12743,plain,
% 7.05/5.17 (~((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12742, 12741])).
% 7.05/5.17 tff(12744,plain,
% 7.05/5.17 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB175) <=> v26(constB175))),
% 7.05/5.17 inference(quant_inst,[status(thm)],[])).
% 7.05/5.17 tff(12745,plain,
% 7.05/5.17 (v111(constB175) <=> v26(constB175)),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12744, 524])).
% 7.05/5.17 tff(12746,plain,
% 7.05/5.17 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 7.05/5.17 inference(quant_inst,[status(thm)],[])).
% 7.05/5.17 tff(12747,plain,
% 7.05/5.17 (~v26(constB175)),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12746, 536])).
% 7.05/5.17 tff(12748,plain,
% 7.05/5.17 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175)) | v26(constB175)),
% 7.05/5.17 inference(tautology,[status(thm)],[])).
% 7.05/5.17 tff(12749,plain,
% 7.05/5.17 ((~(v111(constB175) <=> v26(constB175))) | (~v111(constB175))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12748, 12747])).
% 7.05/5.17 tff(12750,plain,
% 7.05/5.17 (~v111(constB175)),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12749, 12745])).
% 7.05/5.17 tff(12751,plain,
% 7.05/5.17 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB175) | (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB175) | (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12752,plain,
% 7.05/5.17 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB175) | (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)))))),
% 7.05/5.17 inference(quant_inst,[status(thm)],[])).
% 7.05/5.17 tff(12753,plain,
% 7.05/5.17 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB175) | (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1))))),
% 7.05/5.17 inference(modus_ponens,[status(thm)],[12752, 12751])).
% 7.05/5.17 tff(12754,plain,
% 7.05/5.17 (v111(constB175) | (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1))))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12753, 554])).
% 7.05/5.17 tff(12755,plain,
% 7.05/5.17 (~(((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12754, 12750])).
% 7.05/5.17 tff(12756,plain,
% 7.05/5.17 ((((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1))) | (~((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)))),
% 7.05/5.17 inference(tautology,[status(thm)],[])).
% 7.05/5.17 tff(12757,plain,
% 7.05/5.17 (~((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12756, 12755])).
% 7.05/5.17 tff(12758,plain,
% 7.05/5.17 (((~![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))))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12759,plain,
% 7.05/5.17 ((v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1))))) <=> (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12760,plain,
% 7.05/5.17 (((~![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))))))),
% 7.05/5.17 inference(monotonicity,[status(thm)],[12759])).
% 7.05/5.17 tff(12761,plain,
% 7.05/5.17 (((~![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))))))),
% 7.05/5.17 inference(transitivity,[status(thm)],[12760, 12758])).
% 7.05/5.17 tff(12762,plain,
% 7.05/5.17 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex0)) | (~v90(constB175, bitIndex1)))))),
% 7.05/5.17 inference(quant_inst,[status(thm)],[])).
% 7.05/5.17 tff(12763,plain,
% 7.05/5.17 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))),
% 7.05/5.17 inference(modus_ponens,[status(thm)],[12762, 12761])).
% 7.05/5.17 tff(12764,plain,
% 7.05/5.17 (v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12763, 959])).
% 7.05/5.17 tff(12765,plain,
% 7.05/5.17 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12766,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_174')).
% 7.05/5.17 tff(12767,plain,
% 7.05/5.17 (nextState(constB174, constB175)),
% 7.05/5.17 inference(modus_ponens,[status(thm)],[12766, 12765])).
% 7.05/5.17 tff(12768,plain,
% 7.05/5.17 (((~![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))))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12769,plain,
% 7.05/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))))),
% 7.05/5.17 inference(quant_inst,[status(thm)],[])).
% 7.05/5.17 tff(12770,plain,
% 7.05/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB174, constB175)) | (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))),
% 7.05/5.17 inference(modus_ponens,[status(thm)],[12769, 12768])).
% 7.05/5.17 tff(12771,plain,
% 7.05/5.17 (v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175))))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12770, 12767, 433])).
% 7.05/5.17 tff(12772,plain,
% 7.05/5.17 (((~![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))))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12773,plain,
% 7.05/5.17 (((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175)))))) <=> ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12774,plain,
% 7.05/5.17 (((~![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)))))))),
% 7.05/5.17 inference(monotonicity,[status(thm)],[12773])).
% 7.05/5.17 tff(12775,plain,
% 7.05/5.17 (((~![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))))))),
% 7.05/5.17 inference(transitivity,[status(thm)],[12774, 12772])).
% 7.05/5.17 tff(12776,plain,
% 7.05/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v102(constB175)) | (~v1(constB175))))))),
% 7.05/5.17 inference(quant_inst,[status(thm)],[])).
% 7.05/5.17 tff(12777,plain,
% 7.05/5.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))),
% 7.05/5.17 inference(modus_ponens,[status(thm)],[12776, 12775])).
% 7.05/5.17 tff(12778,plain,
% 7.05/5.17 (v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175))))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12777, 12767, 453])).
% 7.05/5.17 tff(12779,plain,
% 7.05/5.17 ((~v1(constB175)) <=> (~v1(constB175))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12780,axiom,(~v1(constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_175')).
% 7.05/5.17 tff(12781,plain,
% 7.05/5.17 (~v1(constB175)),
% 7.05/5.17 inference(modus_ponens,[status(thm)],[12780, 12779])).
% 7.05/5.17 tff(12782,plain,
% 7.05/5.17 (((~v1(constB175)) | (~v102(constB175))) | v1(constB175)),
% 7.05/5.17 inference(tautology,[status(thm)],[])).
% 7.05/5.17 tff(12783,plain,
% 7.05/5.17 ((~v1(constB175)) | (~v102(constB175))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12782, 12781])).
% 7.05/5.17 tff(12784,plain,
% 7.05/5.17 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175)) | (~((~v1(constB175)) | (~v102(constB175))))),
% 7.05/5.17 inference(tautology,[status(thm)],[])).
% 7.05/5.17 tff(12785,plain,
% 7.05/5.17 ((~(v101(constB175) <=> (~((~v1(constB175)) | (~v102(constB175)))))) | (~v101(constB175))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12784, 12783])).
% 7.05/5.17 tff(12786,plain,
% 7.05/5.17 (~v101(constB175)),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12785, 12778])).
% 7.05/5.17 tff(12787,plain,
% 7.05/5.17 (((~v101(constB175)) | (~v110(constB175))) | v101(constB175)),
% 7.05/5.17 inference(tautology,[status(thm)],[])).
% 7.05/5.17 tff(12788,plain,
% 7.05/5.17 ((~v101(constB175)) | (~v110(constB175))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12787, 12786])).
% 7.05/5.17 tff(12789,plain,
% 7.05/5.17 ((~(v100(constB175) <=> (~((~v101(constB175)) | (~v110(constB175)))))) | (~v100(constB175)) | (~((~v101(constB175)) | (~v110(constB175))))),
% 7.05/5.17 inference(tautology,[status(thm)],[])).
% 7.05/5.17 tff(12790,plain,
% 7.05/5.17 (~v100(constB175)),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12789, 12788, 12771])).
% 7.05/5.17 tff(12791,plain,
% 7.05/5.17 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12792,plain,
% 7.05/5.17 ((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)))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12793,plain,
% 7.05/5.17 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.17 inference(monotonicity,[status(thm)],[12792])).
% 7.05/5.17 tff(12794,plain,
% 7.05/5.17 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.17 inference(transitivity,[status(thm)],[12793, 12791])).
% 7.05/5.17 tff(12795,plain,
% 7.05/5.17 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.17 inference(quant_inst,[status(thm)],[])).
% 7.05/5.17 tff(12796,plain,
% 7.05/5.17 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.17 inference(modus_ponens,[status(thm)],[12795, 12794])).
% 7.05/5.17 tff(12797,plain,
% 7.05/5.17 (v100(constB175) | (~(((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12796, 12767, 482])).
% 7.05/5.17 tff(12798,plain,
% 7.05/5.17 (~(((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12797, 12790])).
% 7.05/5.17 tff(12799,plain,
% 7.05/5.17 ((((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))) | (~((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)))),
% 7.05/5.17 inference(tautology,[status(thm)],[])).
% 7.05/5.17 tff(12800,plain,
% 7.05/5.17 (~((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12799, 12798])).
% 7.05/5.17 tff(12801,plain,
% 7.05/5.17 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12802,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_173')).
% 7.05/5.17 tff(12803,plain,
% 7.05/5.17 (nextState(constB173, constB174)),
% 7.05/5.17 inference(modus_ponens,[status(thm)],[12802, 12801])).
% 7.05/5.17 tff(12804,plain,
% 7.05/5.17 (((~![VarNext: $i, 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)))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12805,plain,
% 7.05/5.17 ((~![VarNext: $i, 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)))))),
% 7.05/5.17 inference(quant_inst,[status(thm)],[])).
% 7.05/5.17 tff(12806,plain,
% 7.05/5.17 ((~![VarNext: $i, 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))))),
% 7.05/5.17 inference(modus_ponens,[status(thm)],[12805, 12804])).
% 7.05/5.17 tff(12807,plain,
% 7.05/5.17 (~(((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0)))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12806, 12803, 505])).
% 7.05/5.17 tff(12808,plain,
% 7.05/5.17 ((((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0))) | (~((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)))),
% 7.05/5.17 inference(tautology,[status(thm)],[])).
% 7.05/5.17 tff(12809,plain,
% 7.05/5.17 (~((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12808, 12807])).
% 7.05/5.17 tff(12810,plain,
% 7.05/5.17 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB173) <=> v26(constB173))),
% 7.05/5.17 inference(quant_inst,[status(thm)],[])).
% 7.05/5.17 tff(12811,plain,
% 7.05/5.17 (v111(constB173) <=> v26(constB173)),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12810, 524])).
% 7.05/5.17 tff(12812,plain,
% 7.05/5.17 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 7.05/5.17 inference(quant_inst,[status(thm)],[])).
% 7.05/5.17 tff(12813,plain,
% 7.05/5.17 (~v26(constB173)),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12812, 536])).
% 7.05/5.17 tff(12814,plain,
% 7.05/5.17 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173)) | v26(constB173)),
% 7.05/5.17 inference(tautology,[status(thm)],[])).
% 7.05/5.17 tff(12815,plain,
% 7.05/5.17 ((~(v111(constB173) <=> v26(constB173))) | (~v111(constB173))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12814, 12813])).
% 7.05/5.17 tff(12816,plain,
% 7.05/5.17 (~v111(constB173)),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12815, 12811])).
% 7.05/5.17 tff(12817,plain,
% 7.05/5.17 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB173) | (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB173) | (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12818,plain,
% 7.05/5.17 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB173) | (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)))))),
% 7.05/5.17 inference(quant_inst,[status(thm)],[])).
% 7.05/5.17 tff(12819,plain,
% 7.05/5.17 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB173) | (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1))))),
% 7.05/5.17 inference(modus_ponens,[status(thm)],[12818, 12817])).
% 7.05/5.17 tff(12820,plain,
% 7.05/5.17 (v111(constB173) | (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1))))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12819, 554])).
% 7.05/5.17 tff(12821,plain,
% 7.05/5.17 (~(((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12820, 12816])).
% 7.05/5.17 tff(12822,plain,
% 7.05/5.17 ((((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1))) | (~((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)))),
% 7.05/5.17 inference(tautology,[status(thm)],[])).
% 7.05/5.17 tff(12823,plain,
% 7.05/5.17 (~((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2))),
% 7.05/5.17 inference(unit_resolution,[status(thm)],[12822, 12821])).
% 7.05/5.17 tff(12824,plain,
% 7.05/5.17 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1))))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12825,plain,
% 7.05/5.17 ((v121(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1))))) <=> (v121(constB173) <=> (~(v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)))))),
% 7.05/5.17 inference(rewrite,[status(thm)],[])).
% 7.05/5.17 tff(12826,plain,
% 7.05/5.17 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1))))))),
% 7.05/5.17 inference(monotonicity,[status(thm)],[12825])).
% 7.05/5.17 tff(12827,plain,
% 7.05/5.17 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1))))))),
% 7.05/5.18 inference(transitivity,[status(thm)],[12826, 12824])).
% 7.05/5.18 tff(12828,plain,
% 7.05/5.18 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex0) | v90(constB173, bitIndex2) | (~v90(constB173, bitIndex1)))))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12829,plain,
% 7.05/5.18 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB173) <=> (~(v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)))))),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12828, 12827])).
% 7.05/5.18 tff(12830,plain,
% 7.05/5.18 (v121(constB173) <=> (~(v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1))))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12829, 574])).
% 7.05/5.18 tff(12831,plain,
% 7.05/5.18 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12832,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_172')).
% 7.05/5.18 tff(12833,plain,
% 7.05/5.18 (nextState(constB172, constB173)),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12832, 12831])).
% 7.05/5.18 tff(12834,plain,
% 7.05/5.18 (((~![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))))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12835,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12836,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB172, constB173)) | (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 7.05/5.18 tff(12837,plain,
% 7.05/5.18 (v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173))))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12836, 12833, 433])).
% 7.05/5.18 tff(12838,plain,
% 7.05/5.18 (((~![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))))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12839,plain,
% 7.05/5.18 (((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173)))))) <=> ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12840,plain,
% 7.05/5.18 (((~![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)))))))),
% 7.05/5.18 inference(monotonicity,[status(thm)],[12839])).
% 7.05/5.18 tff(12841,plain,
% 7.05/5.18 (((~![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))))))),
% 7.05/5.18 inference(transitivity,[status(thm)],[12840, 12838])).
% 7.05/5.18 tff(12842,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v102(constB173)) | (~v1(constB173))))))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12843,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12842, 12841])).
% 7.05/5.18 tff(12844,plain,
% 7.05/5.18 (v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173))))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12843, 12833, 453])).
% 7.05/5.18 tff(12845,plain,
% 7.05/5.18 ((~v1(constB173)) <=> (~v1(constB173))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12846,axiom,(~v1(constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_173')).
% 7.05/5.18 tff(12847,plain,
% 7.05/5.18 (~v1(constB173)),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12846, 12845])).
% 7.05/5.18 tff(12848,plain,
% 7.05/5.18 (((~v1(constB173)) | (~v102(constB173))) | v1(constB173)),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12849,plain,
% 7.05/5.18 ((~v1(constB173)) | (~v102(constB173))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12848, 12847])).
% 7.05/5.18 tff(12850,plain,
% 7.05/5.18 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173)) | (~((~v1(constB173)) | (~v102(constB173))))),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12851,plain,
% 7.05/5.18 ((~(v101(constB173) <=> (~((~v1(constB173)) | (~v102(constB173)))))) | (~v101(constB173))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12850, 12849])).
% 7.05/5.18 tff(12852,plain,
% 7.05/5.18 (~v101(constB173)),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12851, 12844])).
% 7.05/5.18 tff(12853,plain,
% 7.05/5.18 (((~v101(constB173)) | (~v110(constB173))) | v101(constB173)),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12854,plain,
% 7.05/5.18 ((~v101(constB173)) | (~v110(constB173))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12853, 12852])).
% 7.05/5.18 tff(12855,plain,
% 7.05/5.18 ((~(v100(constB173) <=> (~((~v101(constB173)) | (~v110(constB173)))))) | (~v100(constB173)) | (~((~v101(constB173)) | (~v110(constB173))))),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12856,plain,
% 7.05/5.18 (~v100(constB173)),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12855, 12854, 12837])).
% 7.05/5.18 tff(12857,plain,
% 7.05/5.18 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12858,plain,
% 7.05/5.18 ((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)))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12859,plain,
% 7.05/5.18 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.18 inference(monotonicity,[status(thm)],[12858])).
% 7.05/5.18 tff(12860,plain,
% 7.05/5.18 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.18 inference(transitivity,[status(thm)],[12859, 12857])).
% 7.05/5.18 tff(12861,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12862,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12861, 12860])).
% 7.05/5.18 tff(12863,plain,
% 7.05/5.18 (v100(constB173) | (~(((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12862, 12833, 482])).
% 7.05/5.18 tff(12864,plain,
% 7.05/5.18 (~(((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12863, 12856])).
% 7.05/5.18 tff(12865,plain,
% 7.05/5.18 ((((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))) | (~((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)))),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12866,plain,
% 7.05/5.18 (~((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12865, 12864])).
% 7.05/5.18 tff(12867,plain,
% 7.05/5.18 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12868,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_171')).
% 7.05/5.18 tff(12869,plain,
% 7.05/5.18 (nextState(constB171, constB172)),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12868, 12867])).
% 7.05/5.18 tff(12870,plain,
% 7.05/5.18 (((~![VarNext: $i, 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)))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12871,plain,
% 7.05/5.18 ((~![VarNext: $i, 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)))))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12872,plain,
% 7.05/5.18 ((~![VarNext: $i, 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))))),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12871, 12870])).
% 7.05/5.18 tff(12873,plain,
% 7.05/5.18 (~(((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0)))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12872, 12869, 505])).
% 7.05/5.18 tff(12874,plain,
% 7.05/5.18 ((((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0))) | (~((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)))),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12875,plain,
% 7.05/5.18 (~((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12874, 12873])).
% 7.05/5.18 tff(12876,plain,
% 7.05/5.18 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB171) <=> v26(constB171))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12877,plain,
% 7.05/5.18 (v111(constB171) <=> v26(constB171)),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12876, 524])).
% 7.05/5.18 tff(12878,plain,
% 7.05/5.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12879,plain,
% 7.05/5.18 (~v26(constB171)),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12878, 536])).
% 7.05/5.18 tff(12880,plain,
% 7.05/5.18 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171)) | v26(constB171)),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12881,plain,
% 7.05/5.18 ((~(v111(constB171) <=> v26(constB171))) | (~v111(constB171))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12880, 12879])).
% 7.05/5.18 tff(12882,plain,
% 7.05/5.18 (~v111(constB171)),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12881, 12877])).
% 7.05/5.18 tff(12883,plain,
% 7.05/5.18 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB171) | (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB171) | (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12884,plain,
% 7.05/5.18 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB171) | (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)))))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12885,plain,
% 7.05/5.18 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB171) | (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1))))),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12884, 12883])).
% 7.05/5.18 tff(12886,plain,
% 7.05/5.18 (v111(constB171) | (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1))))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12885, 554])).
% 7.05/5.18 tff(12887,plain,
% 7.05/5.18 (~(((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12886, 12882])).
% 7.05/5.18 tff(12888,plain,
% 7.05/5.18 ((((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1))) | (~((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)))),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12889,plain,
% 7.05/5.18 (~((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12888, 12887])).
% 7.05/5.18 tff(12890,plain,
% 7.05/5.18 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB171) <=> (~(v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)))))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12891,plain,
% 7.05/5.18 (v120(constB171) <=> (~(v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0))))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12890, 653])).
% 7.05/5.18 tff(12892,plain,
% 7.05/5.18 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12893,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_170')).
% 7.05/5.18 tff(12894,plain,
% 7.05/5.18 (nextState(constB170, constB171)),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12893, 12892])).
% 7.05/5.18 tff(12895,plain,
% 7.05/5.18 (((~![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))))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12896,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12897,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB170, constB171)) | (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12896, 12895])).
% 7.05/5.18 tff(12898,plain,
% 7.05/5.18 (v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171))))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12897, 12894, 433])).
% 7.05/5.18 tff(12899,plain,
% 7.05/5.18 (((~![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))))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12900,plain,
% 7.05/5.18 (((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171)))))) <=> ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12901,plain,
% 7.05/5.18 (((~![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)))))))),
% 7.05/5.18 inference(monotonicity,[status(thm)],[12900])).
% 7.05/5.18 tff(12902,plain,
% 7.05/5.18 (((~![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))))))),
% 7.05/5.18 inference(transitivity,[status(thm)],[12901, 12899])).
% 7.05/5.18 tff(12903,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v102(constB171)) | (~v1(constB171))))))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12904,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12903, 12902])).
% 7.05/5.18 tff(12905,plain,
% 7.05/5.18 (v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171))))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12904, 12894, 453])).
% 7.05/5.18 tff(12906,plain,
% 7.05/5.18 ((~v1(constB171)) <=> (~v1(constB171))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12907,axiom,(~v1(constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_171')).
% 7.05/5.18 tff(12908,plain,
% 7.05/5.18 (~v1(constB171)),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12907, 12906])).
% 7.05/5.18 tff(12909,plain,
% 7.05/5.18 (((~v1(constB171)) | (~v102(constB171))) | v1(constB171)),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12910,plain,
% 7.05/5.18 ((~v1(constB171)) | (~v102(constB171))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12909, 12908])).
% 7.05/5.18 tff(12911,plain,
% 7.05/5.18 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171)) | (~((~v1(constB171)) | (~v102(constB171))))),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12912,plain,
% 7.05/5.18 ((~(v101(constB171) <=> (~((~v1(constB171)) | (~v102(constB171)))))) | (~v101(constB171))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12911, 12910])).
% 7.05/5.18 tff(12913,plain,
% 7.05/5.18 (~v101(constB171)),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12912, 12905])).
% 7.05/5.18 tff(12914,plain,
% 7.05/5.18 (((~v101(constB171)) | (~v110(constB171))) | v101(constB171)),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12915,plain,
% 7.05/5.18 ((~v101(constB171)) | (~v110(constB171))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12914, 12913])).
% 7.05/5.18 tff(12916,plain,
% 7.05/5.18 ((~(v100(constB171) <=> (~((~v101(constB171)) | (~v110(constB171)))))) | (~v100(constB171)) | (~((~v101(constB171)) | (~v110(constB171))))),
% 7.05/5.18 inference(tautology,[status(thm)],[])).
% 7.05/5.18 tff(12917,plain,
% 7.05/5.18 (~v100(constB171)),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12916, 12915, 12898])).
% 7.05/5.18 tff(12918,plain,
% 7.05/5.18 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12919,plain,
% 7.05/5.18 ((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)))))),
% 7.05/5.18 inference(rewrite,[status(thm)],[])).
% 7.05/5.18 tff(12920,plain,
% 7.05/5.18 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.18 inference(monotonicity,[status(thm)],[12919])).
% 7.05/5.18 tff(12921,plain,
% 7.05/5.18 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.18 inference(transitivity,[status(thm)],[12920, 12918])).
% 7.05/5.18 tff(12922,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.18 inference(quant_inst,[status(thm)],[])).
% 7.05/5.18 tff(12923,plain,
% 7.05/5.18 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.18 inference(modus_ponens,[status(thm)],[12922, 12921])).
% 7.05/5.18 tff(12924,plain,
% 7.05/5.18 (v100(constB171) | (~(((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12923, 12894, 482])).
% 7.05/5.18 tff(12925,plain,
% 7.05/5.18 (~(((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)))),
% 7.05/5.18 inference(unit_resolution,[status(thm)],[12924, 12917])).
% 7.05/5.18 tff(12926,plain,
% 7.05/5.18 ((((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))) | (~((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)))),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(12927,plain,
% 7.05/5.19 (~((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12926, 12925])).
% 7.05/5.19 tff(12928,plain,
% 7.05/5.19 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12929,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_169')).
% 7.05/5.19 tff(12930,plain,
% 7.05/5.19 (nextState(constB169, constB170)),
% 7.05/5.19 inference(modus_ponens,[status(thm)],[12929, 12928])).
% 7.05/5.19 tff(12931,plain,
% 7.05/5.19 (((~![VarNext: $i, 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)))))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12932,plain,
% 7.05/5.19 ((~![VarNext: $i, 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)))))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(12933,plain,
% 7.05/5.19 ((~![VarNext: $i, 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))))),
% 7.05/5.19 inference(modus_ponens,[status(thm)],[12932, 12931])).
% 7.05/5.19 tff(12934,plain,
% 7.05/5.19 (~(((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0)))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12933, 12930, 505])).
% 7.05/5.19 tff(12935,plain,
% 7.05/5.19 ((((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0))) | (~((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)))),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(12936,plain,
% 7.05/5.19 (~((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12935, 12934])).
% 7.05/5.19 tff(12937,plain,
% 7.05/5.19 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB169) <=> v26(constB169))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(12938,plain,
% 7.05/5.19 (v111(constB169) <=> v26(constB169)),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12937, 524])).
% 7.05/5.19 tff(12939,plain,
% 7.05/5.19 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(12940,plain,
% 7.05/5.19 (~v26(constB169)),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12939, 536])).
% 7.05/5.19 tff(12941,plain,
% 7.05/5.19 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169)) | v26(constB169)),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(12942,plain,
% 7.05/5.19 ((~(v111(constB169) <=> v26(constB169))) | (~v111(constB169))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12941, 12940])).
% 7.05/5.19 tff(12943,plain,
% 7.05/5.19 (~v111(constB169)),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12942, 12938])).
% 7.05/5.19 tff(12944,plain,
% 7.05/5.19 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB169) | (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB169) | (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)))))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12945,plain,
% 7.05/5.19 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB169) | (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)))))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(12946,plain,
% 7.05/5.19 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB169) | (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1))))),
% 7.05/5.19 inference(modus_ponens,[status(thm)],[12945, 12944])).
% 7.05/5.19 tff(12947,plain,
% 7.05/5.19 (v111(constB169) | (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1))))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12946, 554])).
% 7.05/5.19 tff(12948,plain,
% 7.05/5.19 (~(((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12947, 12943])).
% 7.05/5.19 tff(12949,plain,
% 7.05/5.19 ((((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1))) | (~((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)))),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(12950,plain,
% 7.05/5.19 (~((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12949, 12948])).
% 7.05/5.19 tff(12951,plain,
% 7.05/5.19 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(12952,plain,
% 7.05/5.19 (v119(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12951, 727])).
% 7.05/5.19 tff(12953,plain,
% 7.05/5.19 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12954,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_168')).
% 7.05/5.19 tff(12955,plain,
% 7.05/5.19 (nextState(constB168, constB169)),
% 7.05/5.19 inference(modus_ponens,[status(thm)],[12954, 12953])).
% 7.05/5.19 tff(12956,plain,
% 7.05/5.19 (((~![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))))))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12957,plain,
% 7.05/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(12958,plain,
% 7.05/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB168, constB169)) | (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))),
% 7.05/5.19 inference(modus_ponens,[status(thm)],[12957, 12956])).
% 7.05/5.19 tff(12959,plain,
% 7.05/5.19 (v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169))))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12958, 12955, 433])).
% 7.05/5.19 tff(12960,plain,
% 7.05/5.19 (((~![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))))))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12961,plain,
% 7.05/5.19 (((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169)))))) <=> ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12962,plain,
% 7.05/5.19 (((~![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)))))))),
% 7.05/5.19 inference(monotonicity,[status(thm)],[12961])).
% 7.05/5.19 tff(12963,plain,
% 7.05/5.19 (((~![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))))))),
% 7.05/5.19 inference(transitivity,[status(thm)],[12962, 12960])).
% 7.05/5.19 tff(12964,plain,
% 7.05/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v102(constB169)) | (~v1(constB169))))))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(12965,plain,
% 7.05/5.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))),
% 7.05/5.19 inference(modus_ponens,[status(thm)],[12964, 12963])).
% 7.05/5.19 tff(12966,plain,
% 7.05/5.19 (v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169))))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12965, 12955, 453])).
% 7.05/5.19 tff(12967,plain,
% 7.05/5.19 ((~v1(constB169)) <=> (~v1(constB169))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12968,axiom,(~v1(constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_169')).
% 7.05/5.19 tff(12969,plain,
% 7.05/5.19 (~v1(constB169)),
% 7.05/5.19 inference(modus_ponens,[status(thm)],[12968, 12967])).
% 7.05/5.19 tff(12970,plain,
% 7.05/5.19 (((~v1(constB169)) | (~v102(constB169))) | v1(constB169)),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(12971,plain,
% 7.05/5.19 ((~v1(constB169)) | (~v102(constB169))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12970, 12969])).
% 7.05/5.19 tff(12972,plain,
% 7.05/5.19 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169)) | (~((~v1(constB169)) | (~v102(constB169))))),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(12973,plain,
% 7.05/5.19 ((~(v101(constB169) <=> (~((~v1(constB169)) | (~v102(constB169)))))) | (~v101(constB169))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12972, 12971])).
% 7.05/5.19 tff(12974,plain,
% 7.05/5.19 (~v101(constB169)),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12973, 12966])).
% 7.05/5.19 tff(12975,plain,
% 7.05/5.19 (((~v101(constB169)) | (~v110(constB169))) | v101(constB169)),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(12976,plain,
% 7.05/5.19 ((~v101(constB169)) | (~v110(constB169))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12975, 12974])).
% 7.05/5.19 tff(12977,plain,
% 7.05/5.19 ((~(v100(constB169) <=> (~((~v101(constB169)) | (~v110(constB169)))))) | (~v100(constB169)) | (~((~v101(constB169)) | (~v110(constB169))))),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(12978,plain,
% 7.05/5.19 (~v100(constB169)),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12977, 12976, 12959])).
% 7.05/5.19 tff(12979,plain,
% 7.05/5.19 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12980,plain,
% 7.05/5.19 ((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)))))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12981,plain,
% 7.05/5.19 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.19 inference(monotonicity,[status(thm)],[12980])).
% 7.05/5.19 tff(12982,plain,
% 7.05/5.19 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.19 inference(transitivity,[status(thm)],[12981, 12979])).
% 7.05/5.19 tff(12983,plain,
% 7.05/5.19 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(12984,plain,
% 7.05/5.19 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.19 inference(modus_ponens,[status(thm)],[12983, 12982])).
% 7.05/5.19 tff(12985,plain,
% 7.05/5.19 (v100(constB169) | (~(((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12984, 12955, 482])).
% 7.05/5.19 tff(12986,plain,
% 7.05/5.19 (~(((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12985, 12978])).
% 7.05/5.19 tff(12987,plain,
% 7.05/5.19 ((((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))) | (~((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)))),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(12988,plain,
% 7.05/5.19 (~((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12987, 12986])).
% 7.05/5.19 tff(12989,plain,
% 7.05/5.19 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12990,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_167')).
% 7.05/5.19 tff(12991,plain,
% 7.05/5.19 (nextState(constB167, constB168)),
% 7.05/5.19 inference(modus_ponens,[status(thm)],[12990, 12989])).
% 7.05/5.19 tff(12992,plain,
% 7.05/5.19 (((~![VarNext: $i, 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)))))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(12993,plain,
% 7.05/5.19 ((~![VarNext: $i, 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)))))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(12994,plain,
% 7.05/5.19 ((~![VarNext: $i, 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))))),
% 7.05/5.19 inference(modus_ponens,[status(thm)],[12993, 12992])).
% 7.05/5.19 tff(12995,plain,
% 7.05/5.19 (~(((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0)))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12994, 12991, 505])).
% 7.05/5.19 tff(12996,plain,
% 7.05/5.19 ((((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0))) | (~((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)))),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(12997,plain,
% 7.05/5.19 (~((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12996, 12995])).
% 7.05/5.19 tff(12998,plain,
% 7.05/5.19 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB167) <=> v26(constB167))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(12999,plain,
% 7.05/5.19 (v111(constB167) <=> v26(constB167)),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[12998, 524])).
% 7.05/5.19 tff(13000,plain,
% 7.05/5.19 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(13001,plain,
% 7.05/5.19 (~v26(constB167)),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[13000, 536])).
% 7.05/5.19 tff(13002,plain,
% 7.05/5.19 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167)) | v26(constB167)),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(13003,plain,
% 7.05/5.19 ((~(v111(constB167) <=> v26(constB167))) | (~v111(constB167))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[13002, 13001])).
% 7.05/5.19 tff(13004,plain,
% 7.05/5.19 (~v111(constB167)),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[13003, 12999])).
% 7.05/5.19 tff(13005,plain,
% 7.05/5.19 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB167) | (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB167) | (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)))))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(13006,plain,
% 7.05/5.19 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB167) | (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)))))),
% 7.05/5.19 inference(quant_inst,[status(thm)],[])).
% 7.05/5.19 tff(13007,plain,
% 7.05/5.19 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB167) | (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1))))),
% 7.05/5.19 inference(modus_ponens,[status(thm)],[13006, 13005])).
% 7.05/5.19 tff(13008,plain,
% 7.05/5.19 (v111(constB167) | (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1))))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[13007, 554])).
% 7.05/5.19 tff(13009,plain,
% 7.05/5.19 (~(((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[13008, 13004])).
% 7.05/5.19 tff(13010,plain,
% 7.05/5.19 ((((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1))) | (~((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)))),
% 7.05/5.19 inference(tautology,[status(thm)],[])).
% 7.05/5.19 tff(13011,plain,
% 7.05/5.19 (~((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2))),
% 7.05/5.19 inference(unit_resolution,[status(thm)],[13010, 13009])).
% 7.05/5.19 tff(13012,plain,
% 7.05/5.19 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0))))))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(13013,plain,
% 7.05/5.19 ((v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)) | (~v90(constB167, bitIndex2))))) <=> (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0)))))),
% 7.05/5.19 inference(rewrite,[status(thm)],[])).
% 7.05/5.19 tff(13014,plain,
% 7.05/5.19 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)) | (~v90(constB167, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0))))))),
% 7.05/5.20 inference(monotonicity,[status(thm)],[13013])).
% 7.05/5.20 tff(13015,plain,
% 7.05/5.20 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)) | (~v90(constB167, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0))))))),
% 7.05/5.20 inference(transitivity,[status(thm)],[13014, 13012])).
% 7.05/5.20 tff(13016,plain,
% 7.05/5.20 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex0)) | (~v90(constB167, bitIndex2)))))),
% 7.05/5.20 inference(quant_inst,[status(thm)],[])).
% 7.05/5.20 tff(13017,plain,
% 7.05/5.20 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0)))))),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13016, 13015])).
% 7.05/5.20 tff(13018,plain,
% 7.05/5.20 (v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0))))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13017, 801])).
% 7.05/5.20 tff(13019,plain,
% 7.05/5.20 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13020,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_166')).
% 7.05/5.20 tff(13021,plain,
% 7.05/5.20 (nextState(constB166, constB167)),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13020, 13019])).
% 7.05/5.20 tff(13022,plain,
% 7.05/5.20 (((~![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))))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13023,plain,
% 7.05/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))))),
% 7.05/5.20 inference(quant_inst,[status(thm)],[])).
% 7.05/5.20 tff(13024,plain,
% 7.05/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB166, constB167)) | (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13023, 13022])).
% 7.05/5.20 tff(13025,plain,
% 7.05/5.20 (v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167))))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13024, 13021, 433])).
% 7.05/5.20 tff(13026,plain,
% 7.05/5.20 (((~![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))))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13027,plain,
% 7.05/5.20 (((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167)))))) <=> ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13028,plain,
% 7.05/5.20 (((~![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)))))))),
% 7.05/5.20 inference(monotonicity,[status(thm)],[13027])).
% 7.05/5.20 tff(13029,plain,
% 7.05/5.20 (((~![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))))))),
% 7.05/5.20 inference(transitivity,[status(thm)],[13028, 13026])).
% 7.05/5.20 tff(13030,plain,
% 7.05/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v102(constB167)) | (~v1(constB167))))))),
% 7.05/5.20 inference(quant_inst,[status(thm)],[])).
% 7.05/5.20 tff(13031,plain,
% 7.05/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13030, 13029])).
% 7.05/5.20 tff(13032,plain,
% 7.05/5.20 (v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167))))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13031, 13021, 453])).
% 7.05/5.20 tff(13033,plain,
% 7.05/5.20 ((~v1(constB167)) <=> (~v1(constB167))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13034,axiom,(~v1(constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_167')).
% 7.05/5.20 tff(13035,plain,
% 7.05/5.20 (~v1(constB167)),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13034, 13033])).
% 7.05/5.20 tff(13036,plain,
% 7.05/5.20 (((~v1(constB167)) | (~v102(constB167))) | v1(constB167)),
% 7.05/5.20 inference(tautology,[status(thm)],[])).
% 7.05/5.20 tff(13037,plain,
% 7.05/5.20 ((~v1(constB167)) | (~v102(constB167))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13036, 13035])).
% 7.05/5.20 tff(13038,plain,
% 7.05/5.20 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167)) | (~((~v1(constB167)) | (~v102(constB167))))),
% 7.05/5.20 inference(tautology,[status(thm)],[])).
% 7.05/5.20 tff(13039,plain,
% 7.05/5.20 ((~(v101(constB167) <=> (~((~v1(constB167)) | (~v102(constB167)))))) | (~v101(constB167))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13038, 13037])).
% 7.05/5.20 tff(13040,plain,
% 7.05/5.20 (~v101(constB167)),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13039, 13032])).
% 7.05/5.20 tff(13041,plain,
% 7.05/5.20 (((~v101(constB167)) | (~v110(constB167))) | v101(constB167)),
% 7.05/5.20 inference(tautology,[status(thm)],[])).
% 7.05/5.20 tff(13042,plain,
% 7.05/5.20 ((~v101(constB167)) | (~v110(constB167))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13041, 13040])).
% 7.05/5.20 tff(13043,plain,
% 7.05/5.20 ((~(v100(constB167) <=> (~((~v101(constB167)) | (~v110(constB167)))))) | (~v100(constB167)) | (~((~v101(constB167)) | (~v110(constB167))))),
% 7.05/5.20 inference(tautology,[status(thm)],[])).
% 7.05/5.20 tff(13044,plain,
% 7.05/5.20 (~v100(constB167)),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13043, 13042, 13025])).
% 7.05/5.20 tff(13045,plain,
% 7.05/5.20 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13046,plain,
% 7.05/5.20 ((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)))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13047,plain,
% 7.05/5.20 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.20 inference(monotonicity,[status(thm)],[13046])).
% 7.05/5.20 tff(13048,plain,
% 7.05/5.20 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.20 inference(transitivity,[status(thm)],[13047, 13045])).
% 7.05/5.20 tff(13049,plain,
% 7.05/5.20 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.20 inference(quant_inst,[status(thm)],[])).
% 7.05/5.20 tff(13050,plain,
% 7.05/5.20 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13049, 13048])).
% 7.05/5.20 tff(13051,plain,
% 7.05/5.20 (v100(constB167) | (~(((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13050, 13021, 482])).
% 7.05/5.20 tff(13052,plain,
% 7.05/5.20 (~(((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13051, 13044])).
% 7.05/5.20 tff(13053,plain,
% 7.05/5.20 ((((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))) | (~((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)))),
% 7.05/5.20 inference(tautology,[status(thm)],[])).
% 7.05/5.20 tff(13054,plain,
% 7.05/5.20 (~((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13053, 13052])).
% 7.05/5.20 tff(13055,plain,
% 7.05/5.20 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13056,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_165')).
% 7.05/5.20 tff(13057,plain,
% 7.05/5.20 (nextState(constB165, constB166)),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13056, 13055])).
% 7.05/5.20 tff(13058,plain,
% 7.05/5.20 (((~![VarNext: $i, 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)))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13059,plain,
% 7.05/5.20 ((~![VarNext: $i, 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)))))),
% 7.05/5.20 inference(quant_inst,[status(thm)],[])).
% 7.05/5.20 tff(13060,plain,
% 7.05/5.20 ((~![VarNext: $i, 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))))),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13059, 13058])).
% 7.05/5.20 tff(13061,plain,
% 7.05/5.20 (~(((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0)))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13060, 13057, 505])).
% 7.05/5.20 tff(13062,plain,
% 7.05/5.20 ((((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0))) | (~((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)))),
% 7.05/5.20 inference(tautology,[status(thm)],[])).
% 7.05/5.20 tff(13063,plain,
% 7.05/5.20 (~((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13062, 13061])).
% 7.05/5.20 tff(13064,plain,
% 7.05/5.20 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB165) <=> v26(constB165))),
% 7.05/5.20 inference(quant_inst,[status(thm)],[])).
% 7.05/5.20 tff(13065,plain,
% 7.05/5.20 (v111(constB165) <=> v26(constB165)),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13064, 524])).
% 7.05/5.20 tff(13066,plain,
% 7.05/5.20 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 7.05/5.20 inference(quant_inst,[status(thm)],[])).
% 7.05/5.20 tff(13067,plain,
% 7.05/5.20 (~v26(constB165)),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13066, 536])).
% 7.05/5.20 tff(13068,plain,
% 7.05/5.20 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165)) | v26(constB165)),
% 7.05/5.20 inference(tautology,[status(thm)],[])).
% 7.05/5.20 tff(13069,plain,
% 7.05/5.20 ((~(v111(constB165) <=> v26(constB165))) | (~v111(constB165))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13068, 13067])).
% 7.05/5.20 tff(13070,plain,
% 7.05/5.20 (~v111(constB165)),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13069, 13065])).
% 7.05/5.20 tff(13071,plain,
% 7.05/5.20 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB165) | (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB165) | (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13072,plain,
% 7.05/5.20 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB165) | (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)))))),
% 7.05/5.20 inference(quant_inst,[status(thm)],[])).
% 7.05/5.20 tff(13073,plain,
% 7.05/5.20 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB165) | (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1))))),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13072, 13071])).
% 7.05/5.20 tff(13074,plain,
% 7.05/5.20 (v111(constB165) | (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1))))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13073, 554])).
% 7.05/5.20 tff(13075,plain,
% 7.05/5.20 (~(((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13074, 13070])).
% 7.05/5.20 tff(13076,plain,
% 7.05/5.20 ((((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1))) | (~((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)))),
% 7.05/5.20 inference(tautology,[status(thm)],[])).
% 7.05/5.20 tff(13077,plain,
% 7.05/5.20 (~((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13076, 13075])).
% 7.05/5.20 tff(13078,plain,
% 7.05/5.20 (((~![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))))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13079,plain,
% 7.05/5.20 ((v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2))))) <=> (v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2)))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13080,plain,
% 7.05/5.20 (((~![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))))))),
% 7.05/5.20 inference(monotonicity,[status(thm)],[13079])).
% 7.05/5.20 tff(13081,plain,
% 7.05/5.20 (((~![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))))))),
% 7.05/5.20 inference(transitivity,[status(thm)],[13080, 13078])).
% 7.05/5.20 tff(13082,plain,
% 7.05/5.20 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex0) | v90(constB165, bitIndex1) | (~v90(constB165, bitIndex2)))))),
% 7.05/5.20 inference(quant_inst,[status(thm)],[])).
% 7.05/5.20 tff(13083,plain,
% 7.05/5.20 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2)))))),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13082, 13081])).
% 7.05/5.20 tff(13084,plain,
% 7.05/5.20 (v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2))))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13083, 880])).
% 7.05/5.20 tff(13085,plain,
% 7.05/5.20 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13086,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_164')).
% 7.05/5.20 tff(13087,plain,
% 7.05/5.20 (nextState(constB164, constB165)),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13086, 13085])).
% 7.05/5.20 tff(13088,plain,
% 7.05/5.20 (((~![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))))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13089,plain,
% 7.05/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))))),
% 7.05/5.20 inference(quant_inst,[status(thm)],[])).
% 7.05/5.20 tff(13090,plain,
% 7.05/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB164, constB165)) | (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13089, 13088])).
% 7.05/5.20 tff(13091,plain,
% 7.05/5.20 (v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165))))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13090, 13087, 433])).
% 7.05/5.20 tff(13092,plain,
% 7.05/5.20 (((~![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))))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13093,plain,
% 7.05/5.20 (((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165)))))) <=> ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13094,plain,
% 7.05/5.20 (((~![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)))))))),
% 7.05/5.20 inference(monotonicity,[status(thm)],[13093])).
% 7.05/5.20 tff(13095,plain,
% 7.05/5.20 (((~![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))))))),
% 7.05/5.20 inference(transitivity,[status(thm)],[13094, 13092])).
% 7.05/5.20 tff(13096,plain,
% 7.05/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v102(constB165)) | (~v1(constB165))))))),
% 7.05/5.20 inference(quant_inst,[status(thm)],[])).
% 7.05/5.20 tff(13097,plain,
% 7.05/5.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13096, 13095])).
% 7.05/5.20 tff(13098,plain,
% 7.05/5.20 (v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165))))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13097, 13087, 453])).
% 7.05/5.20 tff(13099,plain,
% 7.05/5.20 ((~v1(constB165)) <=> (~v1(constB165))),
% 7.05/5.20 inference(rewrite,[status(thm)],[])).
% 7.05/5.20 tff(13100,axiom,(~v1(constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_165')).
% 7.05/5.20 tff(13101,plain,
% 7.05/5.20 (~v1(constB165)),
% 7.05/5.20 inference(modus_ponens,[status(thm)],[13100, 13099])).
% 7.05/5.20 tff(13102,plain,
% 7.05/5.20 (((~v1(constB165)) | (~v102(constB165))) | v1(constB165)),
% 7.05/5.20 inference(tautology,[status(thm)],[])).
% 7.05/5.20 tff(13103,plain,
% 7.05/5.20 ((~v1(constB165)) | (~v102(constB165))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13102, 13101])).
% 7.05/5.20 tff(13104,plain,
% 7.05/5.20 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165)) | (~((~v1(constB165)) | (~v102(constB165))))),
% 7.05/5.20 inference(tautology,[status(thm)],[])).
% 7.05/5.20 tff(13105,plain,
% 7.05/5.20 ((~(v101(constB165) <=> (~((~v1(constB165)) | (~v102(constB165)))))) | (~v101(constB165))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13104, 13103])).
% 7.05/5.20 tff(13106,plain,
% 7.05/5.20 (~v101(constB165)),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13105, 13098])).
% 7.05/5.20 tff(13107,plain,
% 7.05/5.20 (((~v101(constB165)) | (~v110(constB165))) | v101(constB165)),
% 7.05/5.20 inference(tautology,[status(thm)],[])).
% 7.05/5.20 tff(13108,plain,
% 7.05/5.20 ((~v101(constB165)) | (~v110(constB165))),
% 7.05/5.20 inference(unit_resolution,[status(thm)],[13107, 13106])).
% 7.05/5.20 tff(13109,plain,
% 7.05/5.20 ((~(v100(constB165) <=> (~((~v101(constB165)) | (~v110(constB165)))))) | (~v100(constB165)) | (~((~v101(constB165)) | (~v110(constB165))))),
% 7.05/5.21 inference(tautology,[status(thm)],[])).
% 7.05/5.21 tff(13110,plain,
% 7.05/5.21 (~v100(constB165)),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13109, 13108, 13091])).
% 7.05/5.21 tff(13111,plain,
% 7.05/5.21 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13112,plain,
% 7.05/5.21 ((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)))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13113,plain,
% 7.05/5.21 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.21 inference(monotonicity,[status(thm)],[13112])).
% 7.05/5.21 tff(13114,plain,
% 7.05/5.21 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.21 inference(transitivity,[status(thm)],[13113, 13111])).
% 7.05/5.21 tff(13115,plain,
% 7.05/5.21 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.21 inference(quant_inst,[status(thm)],[])).
% 7.05/5.21 tff(13116,plain,
% 7.05/5.21 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13115, 13114])).
% 7.05/5.21 tff(13117,plain,
% 7.05/5.21 (v100(constB165) | (~(((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13116, 13087, 482])).
% 7.05/5.21 tff(13118,plain,
% 7.05/5.21 (~(((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13117, 13110])).
% 7.05/5.21 tff(13119,plain,
% 7.05/5.21 ((((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))) | (~((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)))),
% 7.05/5.21 inference(tautology,[status(thm)],[])).
% 7.05/5.21 tff(13120,plain,
% 7.05/5.21 (~((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13119, 13118])).
% 7.05/5.21 tff(13121,plain,
% 7.05/5.21 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13122,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_163')).
% 7.05/5.21 tff(13123,plain,
% 7.05/5.21 (nextState(constB163, constB164)),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13122, 13121])).
% 7.05/5.21 tff(13124,plain,
% 7.05/5.21 (((~![VarNext: $i, 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)))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13125,plain,
% 7.05/5.21 ((~![VarNext: $i, 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)))))),
% 7.05/5.21 inference(quant_inst,[status(thm)],[])).
% 7.05/5.21 tff(13126,plain,
% 7.05/5.21 ((~![VarNext: $i, 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))))),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13125, 13124])).
% 7.05/5.21 tff(13127,plain,
% 7.05/5.21 (~(((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0)))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13126, 13123, 505])).
% 7.05/5.21 tff(13128,plain,
% 7.05/5.21 ((((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0))) | (~((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)))),
% 7.05/5.21 inference(tautology,[status(thm)],[])).
% 7.05/5.21 tff(13129,plain,
% 7.05/5.21 (~((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13128, 13127])).
% 7.05/5.21 tff(13130,plain,
% 7.05/5.21 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB163) <=> v26(constB163))),
% 7.05/5.21 inference(quant_inst,[status(thm)],[])).
% 7.05/5.21 tff(13131,plain,
% 7.05/5.21 (v111(constB163) <=> v26(constB163)),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13130, 524])).
% 7.05/5.21 tff(13132,plain,
% 7.05/5.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 7.05/5.21 inference(quant_inst,[status(thm)],[])).
% 7.05/5.21 tff(13133,plain,
% 7.05/5.21 (~v26(constB163)),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13132, 536])).
% 7.05/5.21 tff(13134,plain,
% 7.05/5.21 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163)) | v26(constB163)),
% 7.05/5.21 inference(tautology,[status(thm)],[])).
% 7.05/5.21 tff(13135,plain,
% 7.05/5.21 ((~(v111(constB163) <=> v26(constB163))) | (~v111(constB163))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13134, 13133])).
% 7.05/5.21 tff(13136,plain,
% 7.05/5.21 (~v111(constB163)),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13135, 13131])).
% 7.05/5.21 tff(13137,plain,
% 7.05/5.21 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB163) | (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB163) | (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13138,plain,
% 7.05/5.21 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB163) | (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)))))),
% 7.05/5.21 inference(quant_inst,[status(thm)],[])).
% 7.05/5.21 tff(13139,plain,
% 7.05/5.21 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB163) | (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1))))),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13138, 13137])).
% 7.05/5.21 tff(13140,plain,
% 7.05/5.21 (v111(constB163) | (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1))))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13139, 554])).
% 7.05/5.21 tff(13141,plain,
% 7.05/5.21 (~(((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13140, 13136])).
% 7.05/5.21 tff(13142,plain,
% 7.05/5.21 ((((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1))) | (~((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)))),
% 7.05/5.21 inference(tautology,[status(thm)],[])).
% 7.05/5.21 tff(13143,plain,
% 7.05/5.21 (~((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13142, 13141])).
% 7.05/5.21 tff(13144,plain,
% 7.05/5.21 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13145,plain,
% 7.05/5.21 ((v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1))))) <=> (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13146,plain,
% 7.05/5.21 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))))))),
% 7.05/5.21 inference(monotonicity,[status(thm)],[13145])).
% 7.05/5.21 tff(13147,plain,
% 7.05/5.21 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))))))),
% 7.05/5.21 inference(transitivity,[status(thm)],[13146, 13144])).
% 7.05/5.21 tff(13148,plain,
% 7.05/5.21 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex0)) | (~v90(constB163, bitIndex1)))))),
% 7.05/5.21 inference(quant_inst,[status(thm)],[])).
% 7.05/5.21 tff(13149,plain,
% 7.05/5.21 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))))),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13148, 13147])).
% 7.05/5.21 tff(13150,plain,
% 7.05/5.21 (v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13149, 959])).
% 7.05/5.21 tff(13151,plain,
% 7.05/5.21 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13152,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_162')).
% 7.05/5.21 tff(13153,plain,
% 7.05/5.21 (nextState(constB162, constB163)),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13152, 13151])).
% 7.05/5.21 tff(13154,plain,
% 7.05/5.21 (((~![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))))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13155,plain,
% 7.05/5.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))))),
% 7.05/5.21 inference(quant_inst,[status(thm)],[])).
% 7.05/5.21 tff(13156,plain,
% 7.05/5.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB162, constB163)) | (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13155, 13154])).
% 7.05/5.21 tff(13157,plain,
% 7.05/5.21 (v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163))))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13156, 13153, 433])).
% 7.05/5.21 tff(13158,plain,
% 7.05/5.21 (((~![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))))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13159,plain,
% 7.05/5.21 (((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163)))))) <=> ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13160,plain,
% 7.05/5.21 (((~![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)))))))),
% 7.05/5.21 inference(monotonicity,[status(thm)],[13159])).
% 7.05/5.21 tff(13161,plain,
% 7.05/5.21 (((~![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))))))),
% 7.05/5.21 inference(transitivity,[status(thm)],[13160, 13158])).
% 7.05/5.21 tff(13162,plain,
% 7.05/5.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v102(constB163)) | (~v1(constB163))))))),
% 7.05/5.21 inference(quant_inst,[status(thm)],[])).
% 7.05/5.21 tff(13163,plain,
% 7.05/5.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13162, 13161])).
% 7.05/5.21 tff(13164,plain,
% 7.05/5.21 (v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163))))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13163, 13153, 453])).
% 7.05/5.21 tff(13165,plain,
% 7.05/5.21 ((~v1(constB163)) <=> (~v1(constB163))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13166,axiom,(~v1(constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_163')).
% 7.05/5.21 tff(13167,plain,
% 7.05/5.21 (~v1(constB163)),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13166, 13165])).
% 7.05/5.21 tff(13168,plain,
% 7.05/5.21 (((~v1(constB163)) | (~v102(constB163))) | v1(constB163)),
% 7.05/5.21 inference(tautology,[status(thm)],[])).
% 7.05/5.21 tff(13169,plain,
% 7.05/5.21 ((~v1(constB163)) | (~v102(constB163))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13168, 13167])).
% 7.05/5.21 tff(13170,plain,
% 7.05/5.21 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163)) | (~((~v1(constB163)) | (~v102(constB163))))),
% 7.05/5.21 inference(tautology,[status(thm)],[])).
% 7.05/5.21 tff(13171,plain,
% 7.05/5.21 ((~(v101(constB163) <=> (~((~v1(constB163)) | (~v102(constB163)))))) | (~v101(constB163))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13170, 13169])).
% 7.05/5.21 tff(13172,plain,
% 7.05/5.21 (~v101(constB163)),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13171, 13164])).
% 7.05/5.21 tff(13173,plain,
% 7.05/5.21 (((~v101(constB163)) | (~v110(constB163))) | v101(constB163)),
% 7.05/5.21 inference(tautology,[status(thm)],[])).
% 7.05/5.21 tff(13174,plain,
% 7.05/5.21 ((~v101(constB163)) | (~v110(constB163))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13173, 13172])).
% 7.05/5.21 tff(13175,plain,
% 7.05/5.21 ((~(v100(constB163) <=> (~((~v101(constB163)) | (~v110(constB163)))))) | (~v100(constB163)) | (~((~v101(constB163)) | (~v110(constB163))))),
% 7.05/5.21 inference(tautology,[status(thm)],[])).
% 7.05/5.21 tff(13176,plain,
% 7.05/5.21 (~v100(constB163)),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13175, 13174, 13157])).
% 7.05/5.21 tff(13177,plain,
% 7.05/5.21 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13178,plain,
% 7.05/5.21 ((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)))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13179,plain,
% 7.05/5.21 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.21 inference(monotonicity,[status(thm)],[13178])).
% 7.05/5.21 tff(13180,plain,
% 7.05/5.21 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.21 inference(transitivity,[status(thm)],[13179, 13177])).
% 7.05/5.21 tff(13181,plain,
% 7.05/5.21 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.21 inference(quant_inst,[status(thm)],[])).
% 7.05/5.21 tff(13182,plain,
% 7.05/5.21 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 7.05/5.21 tff(13183,plain,
% 7.05/5.21 (v100(constB163) | (~(((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13182, 13153, 482])).
% 7.05/5.21 tff(13184,plain,
% 7.05/5.21 (~(((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13183, 13176])).
% 7.05/5.21 tff(13185,plain,
% 7.05/5.21 ((((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))) | (~((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)))),
% 7.05/5.21 inference(tautology,[status(thm)],[])).
% 7.05/5.21 tff(13186,plain,
% 7.05/5.21 (~((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13185, 13184])).
% 7.05/5.21 tff(13187,plain,
% 7.05/5.21 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13188,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_161')).
% 7.05/5.21 tff(13189,plain,
% 7.05/5.21 (nextState(constB161, constB162)),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13188, 13187])).
% 7.05/5.21 tff(13190,plain,
% 7.05/5.21 (((~![VarNext: $i, 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)))))),
% 7.05/5.21 inference(rewrite,[status(thm)],[])).
% 7.05/5.21 tff(13191,plain,
% 7.05/5.21 ((~![VarNext: $i, 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)))))),
% 7.05/5.21 inference(quant_inst,[status(thm)],[])).
% 7.05/5.21 tff(13192,plain,
% 7.05/5.21 ((~![VarNext: $i, 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))))),
% 7.05/5.21 inference(modus_ponens,[status(thm)],[13191, 13190])).
% 7.05/5.21 tff(13193,plain,
% 7.05/5.21 (~(((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0)))),
% 7.05/5.21 inference(unit_resolution,[status(thm)],[13192, 13189, 505])).
% 7.05/5.21 tff(13194,plain,
% 7.05/5.21 ((((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0))) | (~((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)))),
% 7.05/5.22 inference(tautology,[status(thm)],[])).
% 7.05/5.22 tff(13195,plain,
% 7.05/5.22 (~((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13194, 13193])).
% 7.05/5.22 tff(13196,plain,
% 7.05/5.22 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB161) <=> v26(constB161))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13197,plain,
% 7.05/5.22 (v111(constB161) <=> v26(constB161)),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13196, 524])).
% 7.05/5.22 tff(13198,plain,
% 7.05/5.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13199,plain,
% 7.05/5.22 (~v26(constB161)),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13198, 536])).
% 7.05/5.22 tff(13200,plain,
% 7.05/5.22 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161)) | v26(constB161)),
% 7.05/5.22 inference(tautology,[status(thm)],[])).
% 7.05/5.22 tff(13201,plain,
% 7.05/5.22 ((~(v111(constB161) <=> v26(constB161))) | (~v111(constB161))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13200, 13199])).
% 7.05/5.22 tff(13202,plain,
% 7.05/5.22 (~v111(constB161)),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13201, 13197])).
% 7.05/5.22 tff(13203,plain,
% 7.05/5.22 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB161) | (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB161) | (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13204,plain,
% 7.05/5.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB161) | (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)))))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13205,plain,
% 7.05/5.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB161) | (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1))))),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13204, 13203])).
% 7.05/5.22 tff(13206,plain,
% 7.05/5.22 (v111(constB161) | (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1))))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13205, 554])).
% 7.05/5.22 tff(13207,plain,
% 7.05/5.22 (~(((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13206, 13202])).
% 7.05/5.22 tff(13208,plain,
% 7.05/5.22 ((((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1))) | (~((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)))),
% 7.05/5.22 inference(tautology,[status(thm)],[])).
% 7.05/5.22 tff(13209,plain,
% 7.05/5.22 (~((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13208, 13207])).
% 7.05/5.22 tff(13210,plain,
% 7.05/5.22 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1))))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13211,plain,
% 7.05/5.22 ((v121(constB161) <=> (~(v90(constB161, bitIndex0) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1))))) <=> (v121(constB161) <=> (~(v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13212,plain,
% 7.05/5.22 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex0) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1))))))),
% 7.05/5.22 inference(monotonicity,[status(thm)],[13211])).
% 7.05/5.22 tff(13213,plain,
% 7.05/5.22 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex0) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1))))))),
% 7.05/5.22 inference(transitivity,[status(thm)],[13212, 13210])).
% 7.05/5.22 tff(13214,plain,
% 7.05/5.22 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex0) | v90(constB161, bitIndex2) | (~v90(constB161, bitIndex1)))))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13215,plain,
% 7.05/5.22 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB161) <=> (~(v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)))))),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13214, 13213])).
% 7.05/5.22 tff(13216,plain,
% 7.05/5.22 (v121(constB161) <=> (~(v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1))))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13215, 574])).
% 7.05/5.22 tff(13217,plain,
% 7.05/5.22 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13218,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_160')).
% 7.05/5.22 tff(13219,plain,
% 7.05/5.22 (nextState(constB160, constB161)),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13218, 13217])).
% 7.05/5.22 tff(13220,plain,
% 7.05/5.22 (((~![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))))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13221,plain,
% 7.05/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13222,plain,
% 7.05/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB160, constB161)) | (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13221, 13220])).
% 7.05/5.22 tff(13223,plain,
% 7.05/5.22 (v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161))))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13222, 13219, 433])).
% 7.05/5.22 tff(13224,plain,
% 7.05/5.22 (((~![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))))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13225,plain,
% 7.05/5.22 (((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161)))))) <=> ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13226,plain,
% 7.05/5.22 (((~![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)))))))),
% 7.05/5.22 inference(monotonicity,[status(thm)],[13225])).
% 7.05/5.22 tff(13227,plain,
% 7.05/5.22 (((~![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))))))),
% 7.05/5.22 inference(transitivity,[status(thm)],[13226, 13224])).
% 7.05/5.22 tff(13228,plain,
% 7.05/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v102(constB161)) | (~v1(constB161))))))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13229,plain,
% 7.05/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13228, 13227])).
% 7.05/5.22 tff(13230,plain,
% 7.05/5.22 (v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161))))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13229, 13219, 453])).
% 7.05/5.22 tff(13231,plain,
% 7.05/5.22 ((~v1(constB161)) <=> (~v1(constB161))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13232,axiom,(~v1(constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_161')).
% 7.05/5.22 tff(13233,plain,
% 7.05/5.22 (~v1(constB161)),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 7.05/5.22 tff(13234,plain,
% 7.05/5.22 (((~v1(constB161)) | (~v102(constB161))) | v1(constB161)),
% 7.05/5.22 inference(tautology,[status(thm)],[])).
% 7.05/5.22 tff(13235,plain,
% 7.05/5.22 ((~v1(constB161)) | (~v102(constB161))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13234, 13233])).
% 7.05/5.22 tff(13236,plain,
% 7.05/5.22 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161)) | (~((~v1(constB161)) | (~v102(constB161))))),
% 7.05/5.22 inference(tautology,[status(thm)],[])).
% 7.05/5.22 tff(13237,plain,
% 7.05/5.22 ((~(v101(constB161) <=> (~((~v1(constB161)) | (~v102(constB161)))))) | (~v101(constB161))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13236, 13235])).
% 7.05/5.22 tff(13238,plain,
% 7.05/5.22 (~v101(constB161)),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13237, 13230])).
% 7.05/5.22 tff(13239,plain,
% 7.05/5.22 (((~v101(constB161)) | (~v110(constB161))) | v101(constB161)),
% 7.05/5.22 inference(tautology,[status(thm)],[])).
% 7.05/5.22 tff(13240,plain,
% 7.05/5.22 ((~v101(constB161)) | (~v110(constB161))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13239, 13238])).
% 7.05/5.22 tff(13241,plain,
% 7.05/5.22 ((~(v100(constB161) <=> (~((~v101(constB161)) | (~v110(constB161)))))) | (~v100(constB161)) | (~((~v101(constB161)) | (~v110(constB161))))),
% 7.05/5.22 inference(tautology,[status(thm)],[])).
% 7.05/5.22 tff(13242,plain,
% 7.05/5.22 (~v100(constB161)),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13241, 13240, 13223])).
% 7.05/5.22 tff(13243,plain,
% 7.05/5.22 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13244,plain,
% 7.05/5.22 ((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)))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13245,plain,
% 7.05/5.22 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.22 inference(monotonicity,[status(thm)],[13244])).
% 7.05/5.22 tff(13246,plain,
% 7.05/5.22 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.22 inference(transitivity,[status(thm)],[13245, 13243])).
% 7.05/5.22 tff(13247,plain,
% 7.05/5.22 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13248,plain,
% 7.05/5.22 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13247, 13246])).
% 7.05/5.22 tff(13249,plain,
% 7.05/5.22 (v100(constB161) | (~(((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13248, 13219, 482])).
% 7.05/5.22 tff(13250,plain,
% 7.05/5.22 (~(((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13249, 13242])).
% 7.05/5.22 tff(13251,plain,
% 7.05/5.22 ((((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))) | (~((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)))),
% 7.05/5.22 inference(tautology,[status(thm)],[])).
% 7.05/5.22 tff(13252,plain,
% 7.05/5.22 (~((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13251, 13250])).
% 7.05/5.22 tff(13253,plain,
% 7.05/5.22 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13254,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_159')).
% 7.05/5.22 tff(13255,plain,
% 7.05/5.22 (nextState(constB159, constB160)),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13254, 13253])).
% 7.05/5.22 tff(13256,plain,
% 7.05/5.22 (((~![VarNext: $i, 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)))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13257,plain,
% 7.05/5.22 ((~![VarNext: $i, 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)))))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13258,plain,
% 7.05/5.22 ((~![VarNext: $i, 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))))),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13257, 13256])).
% 7.05/5.22 tff(13259,plain,
% 7.05/5.22 (~(((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0)))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13258, 13255, 505])).
% 7.05/5.22 tff(13260,plain,
% 7.05/5.22 ((((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0))) | (~((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)))),
% 7.05/5.22 inference(tautology,[status(thm)],[])).
% 7.05/5.22 tff(13261,plain,
% 7.05/5.22 (~((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13260, 13259])).
% 7.05/5.22 tff(13262,plain,
% 7.05/5.22 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB159) <=> v26(constB159))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13263,plain,
% 7.05/5.22 (v111(constB159) <=> v26(constB159)),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13262, 524])).
% 7.05/5.22 tff(13264,plain,
% 7.05/5.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13265,plain,
% 7.05/5.22 (~v26(constB159)),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13264, 536])).
% 7.05/5.22 tff(13266,plain,
% 7.05/5.22 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159)) | v26(constB159)),
% 7.05/5.22 inference(tautology,[status(thm)],[])).
% 7.05/5.22 tff(13267,plain,
% 7.05/5.22 ((~(v111(constB159) <=> v26(constB159))) | (~v111(constB159))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13266, 13265])).
% 7.05/5.22 tff(13268,plain,
% 7.05/5.22 (~v111(constB159)),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13267, 13263])).
% 7.05/5.22 tff(13269,plain,
% 7.05/5.22 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB159) | (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB159) | (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13270,plain,
% 7.05/5.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB159) | (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)))))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13271,plain,
% 7.05/5.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB159) | (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1))))),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13270, 13269])).
% 7.05/5.22 tff(13272,plain,
% 7.05/5.22 (v111(constB159) | (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1))))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13271, 554])).
% 7.05/5.22 tff(13273,plain,
% 7.05/5.22 (~(((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13272, 13268])).
% 7.05/5.22 tff(13274,plain,
% 7.05/5.22 ((((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1))) | (~((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)))),
% 7.05/5.22 inference(tautology,[status(thm)],[])).
% 7.05/5.22 tff(13275,plain,
% 7.05/5.22 (~((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13274, 13273])).
% 7.05/5.22 tff(13276,plain,
% 7.05/5.22 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB159) <=> (~(v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0)))))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13277,plain,
% 7.05/5.22 (v120(constB159) <=> (~(v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0))))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13276, 653])).
% 7.05/5.22 tff(13278,plain,
% 7.05/5.22 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13279,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_158')).
% 7.05/5.22 tff(13280,plain,
% 7.05/5.22 (nextState(constB158, constB159)),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13279, 13278])).
% 7.05/5.22 tff(13281,plain,
% 7.05/5.22 (((~![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))))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13282,plain,
% 7.05/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13283,plain,
% 7.05/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB158, constB159)) | (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13282, 13281])).
% 7.05/5.22 tff(13284,plain,
% 7.05/5.22 (v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159))))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13283, 13280, 433])).
% 7.05/5.22 tff(13285,plain,
% 7.05/5.22 (((~![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))))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13286,plain,
% 7.05/5.22 (((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159)))))) <=> ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13287,plain,
% 7.05/5.22 (((~![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)))))))),
% 7.05/5.22 inference(monotonicity,[status(thm)],[13286])).
% 7.05/5.22 tff(13288,plain,
% 7.05/5.22 (((~![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))))))),
% 7.05/5.22 inference(transitivity,[status(thm)],[13287, 13285])).
% 7.05/5.22 tff(13289,plain,
% 7.05/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v102(constB159)) | (~v1(constB159))))))),
% 7.05/5.22 inference(quant_inst,[status(thm)],[])).
% 7.05/5.22 tff(13290,plain,
% 7.05/5.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13289, 13288])).
% 7.05/5.22 tff(13291,plain,
% 7.05/5.22 (v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159))))),
% 7.05/5.22 inference(unit_resolution,[status(thm)],[13290, 13280, 453])).
% 7.05/5.22 tff(13292,plain,
% 7.05/5.22 ((~v1(constB159)) <=> (~v1(constB159))),
% 7.05/5.22 inference(rewrite,[status(thm)],[])).
% 7.05/5.22 tff(13293,axiom,(~v1(constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_159')).
% 7.05/5.22 tff(13294,plain,
% 7.05/5.22 (~v1(constB159)),
% 7.05/5.22 inference(modus_ponens,[status(thm)],[13293, 13292])).
% 7.05/5.22 tff(13295,plain,
% 7.05/5.22 (((~v1(constB159)) | (~v102(constB159))) | v1(constB159)),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13296,plain,
% 7.05/5.23 ((~v1(constB159)) | (~v102(constB159))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13295, 13294])).
% 7.05/5.23 tff(13297,plain,
% 7.05/5.23 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159)) | (~((~v1(constB159)) | (~v102(constB159))))),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13298,plain,
% 7.05/5.23 ((~(v101(constB159) <=> (~((~v1(constB159)) | (~v102(constB159)))))) | (~v101(constB159))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13297, 13296])).
% 7.05/5.23 tff(13299,plain,
% 7.05/5.23 (~v101(constB159)),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13298, 13291])).
% 7.05/5.23 tff(13300,plain,
% 7.05/5.23 (((~v101(constB159)) | (~v110(constB159))) | v101(constB159)),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13301,plain,
% 7.05/5.23 ((~v101(constB159)) | (~v110(constB159))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13300, 13299])).
% 7.05/5.23 tff(13302,plain,
% 7.05/5.23 ((~(v100(constB159) <=> (~((~v101(constB159)) | (~v110(constB159)))))) | (~v100(constB159)) | (~((~v101(constB159)) | (~v110(constB159))))),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13303,plain,
% 7.05/5.23 (~v100(constB159)),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13302, 13301, 13284])).
% 7.05/5.23 tff(13304,plain,
% 7.05/5.23 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13305,plain,
% 7.05/5.23 ((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)))))),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13306,plain,
% 7.05/5.23 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.23 inference(monotonicity,[status(thm)],[13305])).
% 7.05/5.23 tff(13307,plain,
% 7.05/5.23 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.23 inference(transitivity,[status(thm)],[13306, 13304])).
% 7.05/5.23 tff(13308,plain,
% 7.05/5.23 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.23 inference(quant_inst,[status(thm)],[])).
% 7.05/5.23 tff(13309,plain,
% 7.05/5.23 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.23 inference(modus_ponens,[status(thm)],[13308, 13307])).
% 7.05/5.23 tff(13310,plain,
% 7.05/5.23 (v100(constB159) | (~(((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13309, 13280, 482])).
% 7.05/5.23 tff(13311,plain,
% 7.05/5.23 (~(((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13310, 13303])).
% 7.05/5.23 tff(13312,plain,
% 7.05/5.23 ((((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))) | (~((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)))),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13313,plain,
% 7.05/5.23 (~((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13312, 13311])).
% 7.05/5.23 tff(13314,plain,
% 7.05/5.23 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13315,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_157')).
% 7.05/5.23 tff(13316,plain,
% 7.05/5.23 (nextState(constB157, constB158)),
% 7.05/5.23 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 7.05/5.23 tff(13317,plain,
% 7.05/5.23 (((~![VarNext: $i, 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)))))),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13318,plain,
% 7.05/5.23 ((~![VarNext: $i, 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)))))),
% 7.05/5.23 inference(quant_inst,[status(thm)],[])).
% 7.05/5.23 tff(13319,plain,
% 7.05/5.23 ((~![VarNext: $i, 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))))),
% 7.05/5.23 inference(modus_ponens,[status(thm)],[13318, 13317])).
% 7.05/5.23 tff(13320,plain,
% 7.05/5.23 (~(((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0)))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13319, 13316, 505])).
% 7.05/5.23 tff(13321,plain,
% 7.05/5.23 ((((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0))) | (~((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)))),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13322,plain,
% 7.05/5.23 (~((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13321, 13320])).
% 7.05/5.23 tff(13323,plain,
% 7.05/5.23 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB157) <=> v26(constB157))),
% 7.05/5.23 inference(quant_inst,[status(thm)],[])).
% 7.05/5.23 tff(13324,plain,
% 7.05/5.23 (v111(constB157) <=> v26(constB157)),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13323, 524])).
% 7.05/5.23 tff(13325,plain,
% 7.05/5.23 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 7.05/5.23 inference(quant_inst,[status(thm)],[])).
% 7.05/5.23 tff(13326,plain,
% 7.05/5.23 (~v26(constB157)),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13325, 536])).
% 7.05/5.23 tff(13327,plain,
% 7.05/5.23 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157)) | v26(constB157)),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13328,plain,
% 7.05/5.23 ((~(v111(constB157) <=> v26(constB157))) | (~v111(constB157))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13327, 13326])).
% 7.05/5.23 tff(13329,plain,
% 7.05/5.23 (~v111(constB157)),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13328, 13324])).
% 7.05/5.23 tff(13330,plain,
% 7.05/5.23 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB157) | (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB157) | (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)))))),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13331,plain,
% 7.05/5.23 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB157) | (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)))))),
% 7.05/5.23 inference(quant_inst,[status(thm)],[])).
% 7.05/5.23 tff(13332,plain,
% 7.05/5.23 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB157) | (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1))))),
% 7.05/5.23 inference(modus_ponens,[status(thm)],[13331, 13330])).
% 7.05/5.23 tff(13333,plain,
% 7.05/5.23 (v111(constB157) | (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1))))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13332, 554])).
% 7.05/5.23 tff(13334,plain,
% 7.05/5.23 (~(((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13333, 13329])).
% 7.05/5.23 tff(13335,plain,
% 7.05/5.23 ((((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1))) | (~((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)))),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13336,plain,
% 7.05/5.23 (~((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13335, 13334])).
% 7.05/5.23 tff(13337,plain,
% 7.05/5.23 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))))),
% 7.05/5.23 inference(quant_inst,[status(thm)],[])).
% 7.05/5.23 tff(13338,plain,
% 7.05/5.23 (v119(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13337, 727])).
% 7.05/5.23 tff(13339,plain,
% 7.05/5.23 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13340,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_156')).
% 7.05/5.23 tff(13341,plain,
% 7.05/5.23 (nextState(constB156, constB157)),
% 7.05/5.23 inference(modus_ponens,[status(thm)],[13340, 13339])).
% 7.05/5.23 tff(13342,plain,
% 7.05/5.23 (((~![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))))))),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13343,plain,
% 7.05/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))))),
% 7.05/5.23 inference(quant_inst,[status(thm)],[])).
% 7.05/5.23 tff(13344,plain,
% 7.05/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB156, constB157)) | (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))),
% 7.05/5.23 inference(modus_ponens,[status(thm)],[13343, 13342])).
% 7.05/5.23 tff(13345,plain,
% 7.05/5.23 (v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157))))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13344, 13341, 433])).
% 7.05/5.23 tff(13346,plain,
% 7.05/5.23 (((~![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))))))),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13347,plain,
% 7.05/5.23 (((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157)))))) <=> ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))))),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13348,plain,
% 7.05/5.23 (((~![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)))))))),
% 7.05/5.23 inference(monotonicity,[status(thm)],[13347])).
% 7.05/5.23 tff(13349,plain,
% 7.05/5.23 (((~![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))))))),
% 7.05/5.23 inference(transitivity,[status(thm)],[13348, 13346])).
% 7.05/5.23 tff(13350,plain,
% 7.05/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v102(constB157)) | (~v1(constB157))))))),
% 7.05/5.23 inference(quant_inst,[status(thm)],[])).
% 7.05/5.23 tff(13351,plain,
% 7.05/5.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))),
% 7.05/5.23 inference(modus_ponens,[status(thm)],[13350, 13349])).
% 7.05/5.23 tff(13352,plain,
% 7.05/5.23 (v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157))))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13351, 13341, 453])).
% 7.05/5.23 tff(13353,plain,
% 7.05/5.23 ((~v1(constB157)) <=> (~v1(constB157))),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13354,axiom,(~v1(constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_157')).
% 7.05/5.23 tff(13355,plain,
% 7.05/5.23 (~v1(constB157)),
% 7.05/5.23 inference(modus_ponens,[status(thm)],[13354, 13353])).
% 7.05/5.23 tff(13356,plain,
% 7.05/5.23 (((~v1(constB157)) | (~v102(constB157))) | v1(constB157)),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13357,plain,
% 7.05/5.23 ((~v1(constB157)) | (~v102(constB157))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13356, 13355])).
% 7.05/5.23 tff(13358,plain,
% 7.05/5.23 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157)) | (~((~v1(constB157)) | (~v102(constB157))))),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13359,plain,
% 7.05/5.23 ((~(v101(constB157) <=> (~((~v1(constB157)) | (~v102(constB157)))))) | (~v101(constB157))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13358, 13357])).
% 7.05/5.23 tff(13360,plain,
% 7.05/5.23 (~v101(constB157)),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13359, 13352])).
% 7.05/5.23 tff(13361,plain,
% 7.05/5.23 (((~v101(constB157)) | (~v110(constB157))) | v101(constB157)),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13362,plain,
% 7.05/5.23 ((~v101(constB157)) | (~v110(constB157))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13361, 13360])).
% 7.05/5.23 tff(13363,plain,
% 7.05/5.23 ((~(v100(constB157) <=> (~((~v101(constB157)) | (~v110(constB157)))))) | (~v100(constB157)) | (~((~v101(constB157)) | (~v110(constB157))))),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13364,plain,
% 7.05/5.23 (~v100(constB157)),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13363, 13362, 13345])).
% 7.05/5.23 tff(13365,plain,
% 7.05/5.23 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13366,plain,
% 7.05/5.23 ((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)))))),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13367,plain,
% 7.05/5.23 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.23 inference(monotonicity,[status(thm)],[13366])).
% 7.05/5.23 tff(13368,plain,
% 7.05/5.23 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.23 inference(transitivity,[status(thm)],[13367, 13365])).
% 7.05/5.23 tff(13369,plain,
% 7.05/5.23 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.23 inference(quant_inst,[status(thm)],[])).
% 7.05/5.23 tff(13370,plain,
% 7.05/5.23 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.23 inference(modus_ponens,[status(thm)],[13369, 13368])).
% 7.05/5.23 tff(13371,plain,
% 7.05/5.23 (v100(constB157) | (~(((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13370, 13341, 482])).
% 7.05/5.23 tff(13372,plain,
% 7.05/5.23 (~(((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13371, 13364])).
% 7.05/5.23 tff(13373,plain,
% 7.05/5.23 ((((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))) | (~((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)))),
% 7.05/5.23 inference(tautology,[status(thm)],[])).
% 7.05/5.23 tff(13374,plain,
% 7.05/5.23 (~((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2))),
% 7.05/5.23 inference(unit_resolution,[status(thm)],[13373, 13372])).
% 7.05/5.23 tff(13375,plain,
% 7.05/5.23 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13376,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_155')).
% 7.05/5.23 tff(13377,plain,
% 7.05/5.23 (nextState(constB155, constB156)),
% 7.05/5.23 inference(modus_ponens,[status(thm)],[13376, 13375])).
% 7.05/5.23 tff(13378,plain,
% 7.05/5.23 (((~![VarNext: $i, 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)))))),
% 7.05/5.23 inference(rewrite,[status(thm)],[])).
% 7.05/5.23 tff(13379,plain,
% 7.05/5.23 ((~![VarNext: $i, 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)))))),
% 7.05/5.23 inference(quant_inst,[status(thm)],[])).
% 7.05/5.23 tff(13380,plain,
% 7.05/5.23 ((~![VarNext: $i, 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))))),
% 7.05/5.24 inference(modus_ponens,[status(thm)],[13379, 13378])).
% 7.05/5.24 tff(13381,plain,
% 7.05/5.24 (~(((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0)))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13380, 13377, 505])).
% 7.05/5.24 tff(13382,plain,
% 7.05/5.24 ((((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0))) | (~((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)))),
% 7.05/5.24 inference(tautology,[status(thm)],[])).
% 7.05/5.24 tff(13383,plain,
% 7.05/5.24 (~((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13382, 13381])).
% 7.05/5.24 tff(13384,plain,
% 7.05/5.24 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB155) <=> v26(constB155))),
% 7.05/5.24 inference(quant_inst,[status(thm)],[])).
% 7.05/5.24 tff(13385,plain,
% 7.05/5.24 (v111(constB155) <=> v26(constB155)),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13384, 524])).
% 7.05/5.24 tff(13386,plain,
% 7.05/5.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 7.05/5.24 inference(quant_inst,[status(thm)],[])).
% 7.05/5.24 tff(13387,plain,
% 7.05/5.24 (~v26(constB155)),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13386, 536])).
% 7.05/5.24 tff(13388,plain,
% 7.05/5.24 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155)) | v26(constB155)),
% 7.05/5.24 inference(tautology,[status(thm)],[])).
% 7.05/5.24 tff(13389,plain,
% 7.05/5.24 ((~(v111(constB155) <=> v26(constB155))) | (~v111(constB155))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13388, 13387])).
% 7.05/5.24 tff(13390,plain,
% 7.05/5.24 (~v111(constB155)),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13389, 13385])).
% 7.05/5.24 tff(13391,plain,
% 7.05/5.24 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB155) | (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB155) | (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)))))),
% 7.05/5.24 inference(rewrite,[status(thm)],[])).
% 7.05/5.24 tff(13392,plain,
% 7.05/5.24 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB155) | (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)))))),
% 7.05/5.24 inference(quant_inst,[status(thm)],[])).
% 7.05/5.24 tff(13393,plain,
% 7.05/5.24 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB155) | (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1))))),
% 7.05/5.24 inference(modus_ponens,[status(thm)],[13392, 13391])).
% 7.05/5.24 tff(13394,plain,
% 7.05/5.24 (v111(constB155) | (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1))))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13393, 554])).
% 7.05/5.24 tff(13395,plain,
% 7.05/5.24 (~(((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13394, 13390])).
% 7.05/5.24 tff(13396,plain,
% 7.05/5.24 ((((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1))) | (~((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)))),
% 7.05/5.24 inference(tautology,[status(thm)],[])).
% 7.05/5.24 tff(13397,plain,
% 7.05/5.24 (~((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13396, 13395])).
% 7.05/5.24 tff(13398,plain,
% 7.05/5.24 (((~![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))))))),
% 7.05/5.24 inference(rewrite,[status(thm)],[])).
% 7.05/5.24 tff(13399,plain,
% 7.05/5.24 ((v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2))))) <=> (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0)))))),
% 7.05/5.24 inference(rewrite,[status(thm)],[])).
% 7.05/5.24 tff(13400,plain,
% 7.05/5.24 (((~![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))))))),
% 7.05/5.24 inference(monotonicity,[status(thm)],[13399])).
% 7.05/5.24 tff(13401,plain,
% 7.05/5.24 (((~![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))))))),
% 7.05/5.24 inference(transitivity,[status(thm)],[13400, 13398])).
% 7.05/5.24 tff(13402,plain,
% 7.05/5.24 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex0)) | (~v90(constB155, bitIndex2)))))),
% 7.05/5.24 inference(quant_inst,[status(thm)],[])).
% 7.05/5.24 tff(13403,plain,
% 7.05/5.24 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0)))))),
% 7.05/5.24 inference(modus_ponens,[status(thm)],[13402, 13401])).
% 7.05/5.24 tff(13404,plain,
% 7.05/5.24 (v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0))))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13403, 801])).
% 7.05/5.24 tff(13405,plain,
% 7.05/5.24 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 7.05/5.24 inference(rewrite,[status(thm)],[])).
% 7.05/5.24 tff(13406,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_154')).
% 7.05/5.24 tff(13407,plain,
% 7.05/5.24 (nextState(constB154, constB155)),
% 7.05/5.24 inference(modus_ponens,[status(thm)],[13406, 13405])).
% 7.05/5.24 tff(13408,plain,
% 7.05/5.24 (((~![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))))))),
% 7.05/5.24 inference(rewrite,[status(thm)],[])).
% 7.05/5.24 tff(13409,plain,
% 7.05/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))))),
% 7.05/5.24 inference(quant_inst,[status(thm)],[])).
% 7.05/5.24 tff(13410,plain,
% 7.05/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB154, constB155)) | (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))),
% 7.05/5.24 inference(modus_ponens,[status(thm)],[13409, 13408])).
% 7.05/5.24 tff(13411,plain,
% 7.05/5.24 (v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155))))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13410, 13407, 433])).
% 7.05/5.24 tff(13412,plain,
% 7.05/5.24 (((~![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))))))),
% 7.05/5.24 inference(rewrite,[status(thm)],[])).
% 7.05/5.24 tff(13413,plain,
% 7.05/5.24 (((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155)))))) <=> ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))))),
% 7.05/5.24 inference(rewrite,[status(thm)],[])).
% 7.05/5.24 tff(13414,plain,
% 7.05/5.24 (((~![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)))))))),
% 7.05/5.24 inference(monotonicity,[status(thm)],[13413])).
% 7.05/5.24 tff(13415,plain,
% 7.05/5.24 (((~![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))))))),
% 7.05/5.24 inference(transitivity,[status(thm)],[13414, 13412])).
% 7.05/5.24 tff(13416,plain,
% 7.05/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v102(constB155)) | (~v1(constB155))))))),
% 7.05/5.24 inference(quant_inst,[status(thm)],[])).
% 7.05/5.24 tff(13417,plain,
% 7.05/5.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))),
% 7.05/5.24 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 7.05/5.24 tff(13418,plain,
% 7.05/5.24 (v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155))))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13417, 13407, 453])).
% 7.05/5.24 tff(13419,plain,
% 7.05/5.24 ((~v1(constB155)) <=> (~v1(constB155))),
% 7.05/5.24 inference(rewrite,[status(thm)],[])).
% 7.05/5.24 tff(13420,axiom,(~v1(constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_155')).
% 7.05/5.24 tff(13421,plain,
% 7.05/5.24 (~v1(constB155)),
% 7.05/5.24 inference(modus_ponens,[status(thm)],[13420, 13419])).
% 7.05/5.24 tff(13422,plain,
% 7.05/5.24 (((~v1(constB155)) | (~v102(constB155))) | v1(constB155)),
% 7.05/5.24 inference(tautology,[status(thm)],[])).
% 7.05/5.24 tff(13423,plain,
% 7.05/5.24 ((~v1(constB155)) | (~v102(constB155))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13422, 13421])).
% 7.05/5.24 tff(13424,plain,
% 7.05/5.24 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155)) | (~((~v1(constB155)) | (~v102(constB155))))),
% 7.05/5.24 inference(tautology,[status(thm)],[])).
% 7.05/5.24 tff(13425,plain,
% 7.05/5.24 ((~(v101(constB155) <=> (~((~v1(constB155)) | (~v102(constB155)))))) | (~v101(constB155))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13424, 13423])).
% 7.05/5.24 tff(13426,plain,
% 7.05/5.24 (~v101(constB155)),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13425, 13418])).
% 7.05/5.24 tff(13427,plain,
% 7.05/5.24 (((~v101(constB155)) | (~v110(constB155))) | v101(constB155)),
% 7.05/5.24 inference(tautology,[status(thm)],[])).
% 7.05/5.24 tff(13428,plain,
% 7.05/5.24 ((~v101(constB155)) | (~v110(constB155))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13427, 13426])).
% 7.05/5.24 tff(13429,plain,
% 7.05/5.24 ((~(v100(constB155) <=> (~((~v101(constB155)) | (~v110(constB155)))))) | (~v100(constB155)) | (~((~v101(constB155)) | (~v110(constB155))))),
% 7.05/5.24 inference(tautology,[status(thm)],[])).
% 7.05/5.24 tff(13430,plain,
% 7.05/5.24 (~v100(constB155)),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13429, 13428, 13411])).
% 7.05/5.24 tff(13431,plain,
% 7.05/5.24 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.24 inference(rewrite,[status(thm)],[])).
% 7.05/5.24 tff(13432,plain,
% 7.05/5.24 ((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)))))),
% 7.05/5.24 inference(rewrite,[status(thm)],[])).
% 7.05/5.24 tff(13433,plain,
% 7.05/5.24 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.05/5.24 inference(monotonicity,[status(thm)],[13432])).
% 7.05/5.24 tff(13434,plain,
% 7.05/5.24 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.24 inference(transitivity,[status(thm)],[13433, 13431])).
% 7.05/5.24 tff(13435,plain,
% 7.05/5.24 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.05/5.24 inference(quant_inst,[status(thm)],[])).
% 7.05/5.24 tff(13436,plain,
% 7.05/5.24 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.05/5.24 inference(modus_ponens,[status(thm)],[13435, 13434])).
% 7.05/5.24 tff(13437,plain,
% 7.05/5.24 (v100(constB155) | (~(((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13436, 13407, 482])).
% 7.05/5.24 tff(13438,plain,
% 7.05/5.24 (~(((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13437, 13430])).
% 7.05/5.24 tff(13439,plain,
% 7.05/5.24 ((((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))) | (~((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)))),
% 7.05/5.24 inference(tautology,[status(thm)],[])).
% 7.05/5.24 tff(13440,plain,
% 7.05/5.24 (~((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2))),
% 7.05/5.24 inference(unit_resolution,[status(thm)],[13439, 13438])).
% 7.05/5.24 tff(13441,plain,
% 7.05/5.24 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 7.05/5.24 inference(rewrite,[status(thm)],[])).
% 7.05/5.24 tff(13442,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_153')).
% 7.05/5.24 tff(13443,plain,
% 7.05/5.24 (nextState(constB153, constB154)),
% 7.05/5.24 inference(modus_ponens,[status(thm)],[13442, 13441])).
% 7.05/5.24 tff(13444,plain,
% 7.05/5.24 (((~![VarNext: $i, 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)))))),
% 7.13/5.24 inference(rewrite,[status(thm)],[])).
% 7.13/5.24 tff(13445,plain,
% 7.13/5.24 ((~![VarNext: $i, 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)))))),
% 7.13/5.24 inference(quant_inst,[status(thm)],[])).
% 7.13/5.24 tff(13446,plain,
% 7.13/5.24 ((~![VarNext: $i, 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))))),
% 7.13/5.24 inference(modus_ponens,[status(thm)],[13445, 13444])).
% 7.13/5.24 tff(13447,plain,
% 7.13/5.24 (~(((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0)))),
% 7.13/5.24 inference(unit_resolution,[status(thm)],[13446, 13443, 505])).
% 7.13/5.24 tff(13448,plain,
% 7.13/5.24 ((((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0))) | (~((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)))),
% 7.13/5.24 inference(tautology,[status(thm)],[])).
% 7.13/5.24 tff(13449,plain,
% 7.13/5.24 (~((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2))),
% 7.13/5.24 inference(unit_resolution,[status(thm)],[13448, 13447])).
% 7.13/5.24 tff(13450,plain,
% 7.13/5.24 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB153) <=> v26(constB153))),
% 7.13/5.24 inference(quant_inst,[status(thm)],[])).
% 7.13/5.24 tff(13451,plain,
% 7.13/5.24 (v111(constB153) <=> v26(constB153)),
% 7.13/5.24 inference(unit_resolution,[status(thm)],[13450, 524])).
% 7.13/5.24 tff(13452,plain,
% 7.13/5.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 7.13/5.24 inference(quant_inst,[status(thm)],[])).
% 7.13/5.24 tff(13453,plain,
% 7.13/5.24 (~v26(constB153)),
% 7.13/5.24 inference(unit_resolution,[status(thm)],[13452, 536])).
% 7.13/5.24 tff(13454,plain,
% 7.13/5.24 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153)) | v26(constB153)),
% 7.13/5.24 inference(tautology,[status(thm)],[])).
% 7.13/5.24 tff(13455,plain,
% 7.13/5.24 ((~(v111(constB153) <=> v26(constB153))) | (~v111(constB153))),
% 7.13/5.24 inference(unit_resolution,[status(thm)],[13454, 13453])).
% 7.13/5.24 tff(13456,plain,
% 7.13/5.24 (~v111(constB153)),
% 7.13/5.24 inference(unit_resolution,[status(thm)],[13455, 13451])).
% 7.13/5.24 tff(13457,plain,
% 7.13/5.24 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB153) | (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB153) | (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)))))),
% 7.13/5.24 inference(rewrite,[status(thm)],[])).
% 7.13/5.24 tff(13458,plain,
% 7.13/5.24 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB153) | (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)))))),
% 7.13/5.24 inference(quant_inst,[status(thm)],[])).
% 7.13/5.24 tff(13459,plain,
% 7.13/5.24 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB153) | (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1))))),
% 7.13/5.24 inference(modus_ponens,[status(thm)],[13458, 13457])).
% 7.13/5.24 tff(13460,plain,
% 7.13/5.24 (v111(constB153) | (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1))))),
% 7.13/5.24 inference(unit_resolution,[status(thm)],[13459, 554])).
% 7.13/5.24 tff(13461,plain,
% 7.13/5.24 (~(((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)))),
% 7.13/5.24 inference(unit_resolution,[status(thm)],[13460, 13456])).
% 7.13/5.24 tff(13462,plain,
% 7.13/5.24 ((((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1))) | (~((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)))),
% 7.13/5.24 inference(tautology,[status(thm)],[])).
% 7.13/5.24 tff(13463,plain,
% 7.13/5.24 (~((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2))),
% 7.13/5.24 inference(unit_resolution,[status(thm)],[13462, 13461])).
% 7.13/5.24 tff(13464,plain,
% 7.13/5.24 (((~![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))))))),
% 7.13/5.24 inference(rewrite,[status(thm)],[])).
% 7.13/5.24 tff(13465,plain,
% 7.13/5.24 ((v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2))))) <=> (v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))))),
% 7.13/5.24 inference(rewrite,[status(thm)],[])).
% 7.13/5.24 tff(13466,plain,
% 7.13/5.24 (((~![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))))))),
% 7.13/5.24 inference(monotonicity,[status(thm)],[13465])).
% 7.13/5.24 tff(13467,plain,
% 7.13/5.24 (((~![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))))))),
% 7.13/5.25 inference(transitivity,[status(thm)],[13466, 13464])).
% 7.13/5.25 tff(13468,plain,
% 7.13/5.25 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)))))),
% 7.13/5.25 inference(quant_inst,[status(thm)],[])).
% 7.13/5.25 tff(13469,plain,
% 7.13/5.25 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))))),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13468, 13467])).
% 7.13/5.25 tff(13470,plain,
% 7.13/5.25 (v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2))))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13469, 880])).
% 7.13/5.25 tff(13471,plain,
% 7.13/5.25 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13472,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_152')).
% 7.13/5.25 tff(13473,plain,
% 7.13/5.25 (nextState(constB152, constB153)),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13472, 13471])).
% 7.13/5.25 tff(13474,plain,
% 7.13/5.25 (((~![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))))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13475,plain,
% 7.13/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))))),
% 7.13/5.25 inference(quant_inst,[status(thm)],[])).
% 7.13/5.25 tff(13476,plain,
% 7.13/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB152, constB153)) | (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13475, 13474])).
% 7.13/5.25 tff(13477,plain,
% 7.13/5.25 (v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153))))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13476, 13473, 433])).
% 7.13/5.25 tff(13478,plain,
% 7.13/5.25 (((~![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))))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13479,plain,
% 7.13/5.25 (((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153)))))) <=> ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13480,plain,
% 7.13/5.25 (((~![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)))))))),
% 7.13/5.25 inference(monotonicity,[status(thm)],[13479])).
% 7.13/5.25 tff(13481,plain,
% 7.13/5.25 (((~![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))))))),
% 7.13/5.25 inference(transitivity,[status(thm)],[13480, 13478])).
% 7.13/5.25 tff(13482,plain,
% 7.13/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v102(constB153)) | (~v1(constB153))))))),
% 7.13/5.25 inference(quant_inst,[status(thm)],[])).
% 7.13/5.25 tff(13483,plain,
% 7.13/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13482, 13481])).
% 7.13/5.25 tff(13484,plain,
% 7.13/5.25 (v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153))))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13483, 13473, 453])).
% 7.13/5.25 tff(13485,plain,
% 7.13/5.25 ((~v1(constB153)) <=> (~v1(constB153))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13486,axiom,(~v1(constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_153')).
% 7.13/5.25 tff(13487,plain,
% 7.13/5.25 (~v1(constB153)),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13486, 13485])).
% 7.13/5.25 tff(13488,plain,
% 7.13/5.25 (((~v1(constB153)) | (~v102(constB153))) | v1(constB153)),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13489,plain,
% 7.13/5.25 ((~v1(constB153)) | (~v102(constB153))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13488, 13487])).
% 7.13/5.25 tff(13490,plain,
% 7.13/5.25 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153)) | (~((~v1(constB153)) | (~v102(constB153))))),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13491,plain,
% 7.13/5.25 ((~(v101(constB153) <=> (~((~v1(constB153)) | (~v102(constB153)))))) | (~v101(constB153))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13490, 13489])).
% 7.13/5.25 tff(13492,plain,
% 7.13/5.25 (~v101(constB153)),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13491, 13484])).
% 7.13/5.25 tff(13493,plain,
% 7.13/5.25 (((~v101(constB153)) | (~v110(constB153))) | v101(constB153)),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13494,plain,
% 7.13/5.25 ((~v101(constB153)) | (~v110(constB153))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13493, 13492])).
% 7.13/5.25 tff(13495,plain,
% 7.13/5.25 ((~(v100(constB153) <=> (~((~v101(constB153)) | (~v110(constB153)))))) | (~v100(constB153)) | (~((~v101(constB153)) | (~v110(constB153))))),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13496,plain,
% 7.13/5.25 (~v100(constB153)),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13495, 13494, 13477])).
% 7.13/5.25 tff(13497,plain,
% 7.13/5.25 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13498,plain,
% 7.13/5.25 ((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)))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13499,plain,
% 7.13/5.25 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.13/5.25 inference(monotonicity,[status(thm)],[13498])).
% 7.13/5.25 tff(13500,plain,
% 7.13/5.25 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.25 inference(transitivity,[status(thm)],[13499, 13497])).
% 7.13/5.25 tff(13501,plain,
% 7.13/5.25 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.25 inference(quant_inst,[status(thm)],[])).
% 7.13/5.25 tff(13502,plain,
% 7.13/5.25 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13501, 13500])).
% 7.13/5.25 tff(13503,plain,
% 7.13/5.25 (v100(constB153) | (~(((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13502, 13473, 482])).
% 7.13/5.25 tff(13504,plain,
% 7.13/5.25 (~(((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13503, 13496])).
% 7.13/5.25 tff(13505,plain,
% 7.13/5.25 ((((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))) | (~((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)))),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13506,plain,
% 7.13/5.25 (~((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13505, 13504])).
% 7.13/5.25 tff(13507,plain,
% 7.13/5.25 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13508,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_151')).
% 7.13/5.25 tff(13509,plain,
% 7.13/5.25 (nextState(constB151, constB152)),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13508, 13507])).
% 7.13/5.25 tff(13510,plain,
% 7.13/5.25 (((~![VarNext: $i, 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)))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13511,plain,
% 7.13/5.25 ((~![VarNext: $i, 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)))))),
% 7.13/5.25 inference(quant_inst,[status(thm)],[])).
% 7.13/5.25 tff(13512,plain,
% 7.13/5.25 ((~![VarNext: $i, 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))))),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13511, 13510])).
% 7.13/5.25 tff(13513,plain,
% 7.13/5.25 (~(((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0)))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13512, 13509, 505])).
% 7.13/5.25 tff(13514,plain,
% 7.13/5.25 ((((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0))) | (~((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)))),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13515,plain,
% 7.13/5.25 (~((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13514, 13513])).
% 7.13/5.25 tff(13516,plain,
% 7.13/5.25 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB151) <=> v26(constB151))),
% 7.13/5.25 inference(quant_inst,[status(thm)],[])).
% 7.13/5.25 tff(13517,plain,
% 7.13/5.25 (v111(constB151) <=> v26(constB151)),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13516, 524])).
% 7.13/5.25 tff(13518,plain,
% 7.13/5.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 7.13/5.25 inference(quant_inst,[status(thm)],[])).
% 7.13/5.25 tff(13519,plain,
% 7.13/5.25 (~v26(constB151)),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13518, 536])).
% 7.13/5.25 tff(13520,plain,
% 7.13/5.25 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151)) | v26(constB151)),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13521,plain,
% 7.13/5.25 ((~(v111(constB151) <=> v26(constB151))) | (~v111(constB151))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13520, 13519])).
% 7.13/5.25 tff(13522,plain,
% 7.13/5.25 (~v111(constB151)),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13521, 13517])).
% 7.13/5.25 tff(13523,plain,
% 7.13/5.25 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB151) | (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB151) | (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13524,plain,
% 7.13/5.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB151) | (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)))))),
% 7.13/5.25 inference(quant_inst,[status(thm)],[])).
% 7.13/5.25 tff(13525,plain,
% 7.13/5.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB151) | (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1))))),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13524, 13523])).
% 7.13/5.25 tff(13526,plain,
% 7.13/5.25 (v111(constB151) | (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1))))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13525, 554])).
% 7.13/5.25 tff(13527,plain,
% 7.13/5.25 (~(((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13526, 13522])).
% 7.13/5.25 tff(13528,plain,
% 7.13/5.25 ((((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1))) | (~((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)))),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13529,plain,
% 7.13/5.25 (~((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13528, 13527])).
% 7.13/5.25 tff(13530,plain,
% 7.13/5.25 (((~![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))))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13531,plain,
% 7.13/5.25 ((v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1))))) <=> (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13532,plain,
% 7.13/5.25 (((~![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))))))),
% 7.13/5.25 inference(monotonicity,[status(thm)],[13531])).
% 7.13/5.25 tff(13533,plain,
% 7.13/5.25 (((~![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))))))),
% 7.13/5.25 inference(transitivity,[status(thm)],[13532, 13530])).
% 7.13/5.25 tff(13534,plain,
% 7.13/5.25 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)))))),
% 7.13/5.25 inference(quant_inst,[status(thm)],[])).
% 7.13/5.25 tff(13535,plain,
% 7.13/5.25 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13534, 13533])).
% 7.13/5.25 tff(13536,plain,
% 7.13/5.25 (v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13535, 959])).
% 7.13/5.25 tff(13537,plain,
% 7.13/5.25 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13538,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_150')).
% 7.13/5.25 tff(13539,plain,
% 7.13/5.25 (nextState(constB150, constB151)),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13538, 13537])).
% 7.13/5.25 tff(13540,plain,
% 7.13/5.25 (((~![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))))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13541,plain,
% 7.13/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))))),
% 7.13/5.25 inference(quant_inst,[status(thm)],[])).
% 7.13/5.25 tff(13542,plain,
% 7.13/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB150, constB151)) | (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13541, 13540])).
% 7.13/5.25 tff(13543,plain,
% 7.13/5.25 (v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151))))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13542, 13539, 433])).
% 7.13/5.25 tff(13544,plain,
% 7.13/5.25 (((~![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))))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13545,plain,
% 7.13/5.25 (((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151)))))) <=> ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13546,plain,
% 7.13/5.25 (((~![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)))))))),
% 7.13/5.25 inference(monotonicity,[status(thm)],[13545])).
% 7.13/5.25 tff(13547,plain,
% 7.13/5.25 (((~![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))))))),
% 7.13/5.25 inference(transitivity,[status(thm)],[13546, 13544])).
% 7.13/5.25 tff(13548,plain,
% 7.13/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v102(constB151)) | (~v1(constB151))))))),
% 7.13/5.25 inference(quant_inst,[status(thm)],[])).
% 7.13/5.25 tff(13549,plain,
% 7.13/5.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13548, 13547])).
% 7.13/5.25 tff(13550,plain,
% 7.13/5.25 (v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151))))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13549, 13539, 453])).
% 7.13/5.25 tff(13551,plain,
% 7.13/5.25 ((~v1(constB151)) <=> (~v1(constB151))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13552,axiom,(~v1(constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_151')).
% 7.13/5.25 tff(13553,plain,
% 7.13/5.25 (~v1(constB151)),
% 7.13/5.25 inference(modus_ponens,[status(thm)],[13552, 13551])).
% 7.13/5.25 tff(13554,plain,
% 7.13/5.25 (((~v1(constB151)) | (~v102(constB151))) | v1(constB151)),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13555,plain,
% 7.13/5.25 ((~v1(constB151)) | (~v102(constB151))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13554, 13553])).
% 7.13/5.25 tff(13556,plain,
% 7.13/5.25 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151)) | (~((~v1(constB151)) | (~v102(constB151))))),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13557,plain,
% 7.13/5.25 ((~(v101(constB151) <=> (~((~v1(constB151)) | (~v102(constB151)))))) | (~v101(constB151))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13556, 13555])).
% 7.13/5.25 tff(13558,plain,
% 7.13/5.25 (~v101(constB151)),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13557, 13550])).
% 7.13/5.25 tff(13559,plain,
% 7.13/5.25 (((~v101(constB151)) | (~v110(constB151))) | v101(constB151)),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13560,plain,
% 7.13/5.25 ((~v101(constB151)) | (~v110(constB151))),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13559, 13558])).
% 7.13/5.25 tff(13561,plain,
% 7.13/5.25 ((~(v100(constB151) <=> (~((~v101(constB151)) | (~v110(constB151)))))) | (~v100(constB151)) | (~((~v101(constB151)) | (~v110(constB151))))),
% 7.13/5.25 inference(tautology,[status(thm)],[])).
% 7.13/5.25 tff(13562,plain,
% 7.13/5.25 (~v100(constB151)),
% 7.13/5.25 inference(unit_resolution,[status(thm)],[13561, 13560, 13543])).
% 7.13/5.25 tff(13563,plain,
% 7.13/5.25 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.25 inference(rewrite,[status(thm)],[])).
% 7.13/5.25 tff(13564,plain,
% 7.13/5.25 ((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)))))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13565,plain,
% 7.13/5.26 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.13/5.26 inference(monotonicity,[status(thm)],[13564])).
% 7.13/5.26 tff(13566,plain,
% 7.13/5.26 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.26 inference(transitivity,[status(thm)],[13565, 13563])).
% 7.13/5.26 tff(13567,plain,
% 7.13/5.26 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.26 inference(quant_inst,[status(thm)],[])).
% 7.13/5.26 tff(13568,plain,
% 7.13/5.26 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13567, 13566])).
% 7.13/5.26 tff(13569,plain,
% 7.13/5.26 (v100(constB151) | (~(((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13568, 13539, 482])).
% 7.13/5.26 tff(13570,plain,
% 7.13/5.26 (~(((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13569, 13562])).
% 7.13/5.26 tff(13571,plain,
% 7.13/5.26 ((((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))) | (~((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)))),
% 7.13/5.26 inference(tautology,[status(thm)],[])).
% 7.13/5.26 tff(13572,plain,
% 7.13/5.26 (~((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13571, 13570])).
% 7.13/5.26 tff(13573,plain,
% 7.13/5.26 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13574,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_149')).
% 7.13/5.26 tff(13575,plain,
% 7.13/5.26 (nextState(constB149, constB150)),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 7.13/5.26 tff(13576,plain,
% 7.13/5.26 (((~![VarNext: $i, 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)))))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13577,plain,
% 7.13/5.26 ((~![VarNext: $i, 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)))))),
% 7.13/5.26 inference(quant_inst,[status(thm)],[])).
% 7.13/5.26 tff(13578,plain,
% 7.13/5.26 ((~![VarNext: $i, 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))))),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13577, 13576])).
% 7.13/5.26 tff(13579,plain,
% 7.13/5.26 (~(((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0)))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13578, 13575, 505])).
% 7.13/5.26 tff(13580,plain,
% 7.13/5.26 ((((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0))) | (~((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)))),
% 7.13/5.26 inference(tautology,[status(thm)],[])).
% 7.13/5.26 tff(13581,plain,
% 7.13/5.26 (~((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13580, 13579])).
% 7.13/5.26 tff(13582,plain,
% 7.13/5.26 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB149) <=> v26(constB149))),
% 7.13/5.26 inference(quant_inst,[status(thm)],[])).
% 7.13/5.26 tff(13583,plain,
% 7.13/5.26 (v111(constB149) <=> v26(constB149)),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13582, 524])).
% 7.13/5.26 tff(13584,plain,
% 7.13/5.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 7.13/5.26 inference(quant_inst,[status(thm)],[])).
% 7.13/5.26 tff(13585,plain,
% 7.13/5.26 (~v26(constB149)),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13584, 536])).
% 7.13/5.26 tff(13586,plain,
% 7.13/5.26 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149)) | v26(constB149)),
% 7.13/5.26 inference(tautology,[status(thm)],[])).
% 7.13/5.26 tff(13587,plain,
% 7.13/5.26 ((~(v111(constB149) <=> v26(constB149))) | (~v111(constB149))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13586, 13585])).
% 7.13/5.26 tff(13588,plain,
% 7.13/5.26 (~v111(constB149)),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13587, 13583])).
% 7.13/5.26 tff(13589,plain,
% 7.13/5.26 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB149) | (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB149) | (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)))))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13590,plain,
% 7.13/5.26 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB149) | (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)))))),
% 7.13/5.26 inference(quant_inst,[status(thm)],[])).
% 7.13/5.26 tff(13591,plain,
% 7.13/5.26 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB149) | (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1))))),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13590, 13589])).
% 7.13/5.26 tff(13592,plain,
% 7.13/5.26 (v111(constB149) | (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1))))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13591, 554])).
% 7.13/5.26 tff(13593,plain,
% 7.13/5.26 (~(((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13592, 13588])).
% 7.13/5.26 tff(13594,plain,
% 7.13/5.26 ((((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1))) | (~((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)))),
% 7.13/5.26 inference(tautology,[status(thm)],[])).
% 7.13/5.26 tff(13595,plain,
% 7.13/5.26 (~((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13594, 13593])).
% 7.13/5.26 tff(13596,plain,
% 7.13/5.26 (((~![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))))))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13597,plain,
% 7.13/5.26 ((v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1))))) <=> (v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13598,plain,
% 7.13/5.26 (((~![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))))))),
% 7.13/5.26 inference(monotonicity,[status(thm)],[13597])).
% 7.13/5.26 tff(13599,plain,
% 7.13/5.26 (((~![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))))))),
% 7.13/5.26 inference(transitivity,[status(thm)],[13598, 13596])).
% 7.13/5.26 tff(13600,plain,
% 7.13/5.26 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex0) | v90(constB149, bitIndex2) | (~v90(constB149, bitIndex1)))))),
% 7.13/5.26 inference(quant_inst,[status(thm)],[])).
% 7.13/5.26 tff(13601,plain,
% 7.13/5.26 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))))),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13600, 13599])).
% 7.13/5.26 tff(13602,plain,
% 7.13/5.26 (v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1))))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13601, 574])).
% 7.13/5.26 tff(13603,plain,
% 7.13/5.26 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13604,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_148')).
% 7.13/5.26 tff(13605,plain,
% 7.13/5.26 (nextState(constB148, constB149)),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13604, 13603])).
% 7.13/5.26 tff(13606,plain,
% 7.13/5.26 (((~![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))))))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13607,plain,
% 7.13/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))))),
% 7.13/5.26 inference(quant_inst,[status(thm)],[])).
% 7.13/5.26 tff(13608,plain,
% 7.13/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB148, constB149)) | (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13607, 13606])).
% 7.13/5.26 tff(13609,plain,
% 7.13/5.26 (v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149))))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13608, 13605, 433])).
% 7.13/5.26 tff(13610,plain,
% 7.13/5.26 (((~![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))))))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13611,plain,
% 7.13/5.26 (((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149)))))) <=> ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13612,plain,
% 7.13/5.26 (((~![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)))))))),
% 7.13/5.26 inference(monotonicity,[status(thm)],[13611])).
% 7.13/5.26 tff(13613,plain,
% 7.13/5.26 (((~![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))))))),
% 7.13/5.26 inference(transitivity,[status(thm)],[13612, 13610])).
% 7.13/5.26 tff(13614,plain,
% 7.13/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v102(constB149)) | (~v1(constB149))))))),
% 7.13/5.26 inference(quant_inst,[status(thm)],[])).
% 7.13/5.26 tff(13615,plain,
% 7.13/5.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13614, 13613])).
% 7.13/5.26 tff(13616,plain,
% 7.13/5.26 (v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149))))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13615, 13605, 453])).
% 7.13/5.26 tff(13617,plain,
% 7.13/5.26 ((~v1(constB149)) <=> (~v1(constB149))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13618,axiom,(~v1(constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_149')).
% 7.13/5.26 tff(13619,plain,
% 7.13/5.26 (~v1(constB149)),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13618, 13617])).
% 7.13/5.26 tff(13620,plain,
% 7.13/5.26 (((~v1(constB149)) | (~v102(constB149))) | v1(constB149)),
% 7.13/5.26 inference(tautology,[status(thm)],[])).
% 7.13/5.26 tff(13621,plain,
% 7.13/5.26 ((~v1(constB149)) | (~v102(constB149))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13620, 13619])).
% 7.13/5.26 tff(13622,plain,
% 7.13/5.26 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149)) | (~((~v1(constB149)) | (~v102(constB149))))),
% 7.13/5.26 inference(tautology,[status(thm)],[])).
% 7.13/5.26 tff(13623,plain,
% 7.13/5.26 ((~(v101(constB149) <=> (~((~v1(constB149)) | (~v102(constB149)))))) | (~v101(constB149))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13622, 13621])).
% 7.13/5.26 tff(13624,plain,
% 7.13/5.26 (~v101(constB149)),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13623, 13616])).
% 7.13/5.26 tff(13625,plain,
% 7.13/5.26 (((~v101(constB149)) | (~v110(constB149))) | v101(constB149)),
% 7.13/5.26 inference(tautology,[status(thm)],[])).
% 7.13/5.26 tff(13626,plain,
% 7.13/5.26 ((~v101(constB149)) | (~v110(constB149))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13625, 13624])).
% 7.13/5.26 tff(13627,plain,
% 7.13/5.26 ((~(v100(constB149) <=> (~((~v101(constB149)) | (~v110(constB149)))))) | (~v100(constB149)) | (~((~v101(constB149)) | (~v110(constB149))))),
% 7.13/5.26 inference(tautology,[status(thm)],[])).
% 7.13/5.26 tff(13628,plain,
% 7.13/5.26 (~v100(constB149)),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13627, 13626, 13609])).
% 7.13/5.26 tff(13629,plain,
% 7.13/5.26 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13630,plain,
% 7.13/5.26 ((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)))))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13631,plain,
% 7.13/5.26 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.13/5.26 inference(monotonicity,[status(thm)],[13630])).
% 7.13/5.26 tff(13632,plain,
% 7.13/5.26 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.26 inference(transitivity,[status(thm)],[13631, 13629])).
% 7.13/5.26 tff(13633,plain,
% 7.13/5.26 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.26 inference(quant_inst,[status(thm)],[])).
% 7.13/5.26 tff(13634,plain,
% 7.13/5.26 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13633, 13632])).
% 7.13/5.26 tff(13635,plain,
% 7.13/5.26 (v100(constB149) | (~(((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13634, 13605, 482])).
% 7.13/5.26 tff(13636,plain,
% 7.13/5.26 (~(((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13635, 13628])).
% 7.13/5.26 tff(13637,plain,
% 7.13/5.26 ((((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))) | (~((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)))),
% 7.13/5.26 inference(tautology,[status(thm)],[])).
% 7.13/5.26 tff(13638,plain,
% 7.13/5.26 (~((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13637, 13636])).
% 7.13/5.26 tff(13639,plain,
% 7.13/5.26 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13640,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_147')).
% 7.13/5.26 tff(13641,plain,
% 7.13/5.26 (nextState(constB147, constB148)),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13640, 13639])).
% 7.13/5.26 tff(13642,plain,
% 7.13/5.26 (((~![VarNext: $i, 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)))))),
% 7.13/5.26 inference(rewrite,[status(thm)],[])).
% 7.13/5.26 tff(13643,plain,
% 7.13/5.26 ((~![VarNext: $i, 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)))))),
% 7.13/5.26 inference(quant_inst,[status(thm)],[])).
% 7.13/5.26 tff(13644,plain,
% 7.13/5.26 ((~![VarNext: $i, 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))))),
% 7.13/5.26 inference(modus_ponens,[status(thm)],[13643, 13642])).
% 7.13/5.26 tff(13645,plain,
% 7.13/5.26 (~(((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0)))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13644, 13641, 505])).
% 7.13/5.26 tff(13646,plain,
% 7.13/5.26 ((((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0))) | (~((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)))),
% 7.13/5.26 inference(tautology,[status(thm)],[])).
% 7.13/5.26 tff(13647,plain,
% 7.13/5.26 (~((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2))),
% 7.13/5.26 inference(unit_resolution,[status(thm)],[13646, 13645])).
% 7.13/5.26 tff(13648,plain,
% 7.13/5.26 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB147) <=> v26(constB147))),
% 7.13/5.26 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13649,plain,
% 7.13/5.27 (v111(constB147) <=> v26(constB147)),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13648, 524])).
% 7.13/5.27 tff(13650,plain,
% 7.13/5.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13651,plain,
% 7.13/5.27 (~v26(constB147)),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13650, 536])).
% 7.13/5.27 tff(13652,plain,
% 7.13/5.27 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147)) | v26(constB147)),
% 7.13/5.27 inference(tautology,[status(thm)],[])).
% 7.13/5.27 tff(13653,plain,
% 7.13/5.27 ((~(v111(constB147) <=> v26(constB147))) | (~v111(constB147))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13652, 13651])).
% 7.13/5.27 tff(13654,plain,
% 7.13/5.27 (~v111(constB147)),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13653, 13649])).
% 7.13/5.27 tff(13655,plain,
% 7.13/5.27 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB147) | (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB147) | (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)))))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13656,plain,
% 7.13/5.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB147) | (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)))))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13657,plain,
% 7.13/5.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB147) | (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1))))),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13656, 13655])).
% 7.13/5.27 tff(13658,plain,
% 7.13/5.27 (v111(constB147) | (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1))))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13657, 554])).
% 7.13/5.27 tff(13659,plain,
% 7.13/5.27 (~(((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13658, 13654])).
% 7.13/5.27 tff(13660,plain,
% 7.13/5.27 ((((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1))) | (~((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)))),
% 7.13/5.27 inference(tautology,[status(thm)],[])).
% 7.13/5.27 tff(13661,plain,
% 7.13/5.27 (~((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13660, 13659])).
% 7.13/5.27 tff(13662,plain,
% 7.13/5.27 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13663,plain,
% 7.13/5.27 (v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0))))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13662, 653])).
% 7.13/5.27 tff(13664,plain,
% 7.13/5.27 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13665,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_146')).
% 7.13/5.27 tff(13666,plain,
% 7.13/5.27 (nextState(constB146, constB147)),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13665, 13664])).
% 7.13/5.27 tff(13667,plain,
% 7.13/5.27 (((~![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))))))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13668,plain,
% 7.13/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13669,plain,
% 7.13/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB146, constB147)) | (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13668, 13667])).
% 7.13/5.27 tff(13670,plain,
% 7.13/5.27 (v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147))))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13669, 13666, 433])).
% 7.13/5.27 tff(13671,plain,
% 7.13/5.27 (((~![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))))))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13672,plain,
% 7.13/5.27 (((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147)))))) <=> ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13673,plain,
% 7.13/5.27 (((~![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)))))))),
% 7.13/5.27 inference(monotonicity,[status(thm)],[13672])).
% 7.13/5.27 tff(13674,plain,
% 7.13/5.27 (((~![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))))))),
% 7.13/5.27 inference(transitivity,[status(thm)],[13673, 13671])).
% 7.13/5.27 tff(13675,plain,
% 7.13/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v102(constB147)) | (~v1(constB147))))))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13676,plain,
% 7.13/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13675, 13674])).
% 7.13/5.27 tff(13677,plain,
% 7.13/5.27 (v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147))))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13676, 13666, 453])).
% 7.13/5.27 tff(13678,plain,
% 7.13/5.27 ((~v1(constB147)) <=> (~v1(constB147))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13679,axiom,(~v1(constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_147')).
% 7.13/5.27 tff(13680,plain,
% 7.13/5.27 (~v1(constB147)),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13679, 13678])).
% 7.13/5.27 tff(13681,plain,
% 7.13/5.27 (((~v1(constB147)) | (~v102(constB147))) | v1(constB147)),
% 7.13/5.27 inference(tautology,[status(thm)],[])).
% 7.13/5.27 tff(13682,plain,
% 7.13/5.27 ((~v1(constB147)) | (~v102(constB147))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13681, 13680])).
% 7.13/5.27 tff(13683,plain,
% 7.13/5.27 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147)) | (~((~v1(constB147)) | (~v102(constB147))))),
% 7.13/5.27 inference(tautology,[status(thm)],[])).
% 7.13/5.27 tff(13684,plain,
% 7.13/5.27 ((~(v101(constB147) <=> (~((~v1(constB147)) | (~v102(constB147)))))) | (~v101(constB147))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13683, 13682])).
% 7.13/5.27 tff(13685,plain,
% 7.13/5.27 (~v101(constB147)),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13684, 13677])).
% 7.13/5.27 tff(13686,plain,
% 7.13/5.27 (((~v101(constB147)) | (~v110(constB147))) | v101(constB147)),
% 7.13/5.27 inference(tautology,[status(thm)],[])).
% 7.13/5.27 tff(13687,plain,
% 7.13/5.27 ((~v101(constB147)) | (~v110(constB147))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13686, 13685])).
% 7.13/5.27 tff(13688,plain,
% 7.13/5.27 ((~(v100(constB147) <=> (~((~v101(constB147)) | (~v110(constB147)))))) | (~v100(constB147)) | (~((~v101(constB147)) | (~v110(constB147))))),
% 7.13/5.27 inference(tautology,[status(thm)],[])).
% 7.13/5.27 tff(13689,plain,
% 7.13/5.27 (~v100(constB147)),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13688, 13687, 13670])).
% 7.13/5.27 tff(13690,plain,
% 7.13/5.27 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13691,plain,
% 7.13/5.27 ((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)))))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13692,plain,
% 7.13/5.27 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.13/5.27 inference(monotonicity,[status(thm)],[13691])).
% 7.13/5.27 tff(13693,plain,
% 7.13/5.27 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.27 inference(transitivity,[status(thm)],[13692, 13690])).
% 7.13/5.27 tff(13694,plain,
% 7.13/5.27 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13695,plain,
% 7.13/5.27 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13694, 13693])).
% 7.13/5.27 tff(13696,plain,
% 7.13/5.27 (v100(constB147) | (~(((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13695, 13666, 482])).
% 7.13/5.27 tff(13697,plain,
% 7.13/5.27 (~(((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13696, 13689])).
% 7.13/5.27 tff(13698,plain,
% 7.13/5.27 ((((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))) | (~((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)))),
% 7.13/5.27 inference(tautology,[status(thm)],[])).
% 7.13/5.27 tff(13699,plain,
% 7.13/5.27 (~((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13698, 13697])).
% 7.13/5.27 tff(13700,plain,
% 7.13/5.27 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13701,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_145')).
% 7.13/5.27 tff(13702,plain,
% 7.13/5.27 (nextState(constB145, constB146)),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13701, 13700])).
% 7.13/5.27 tff(13703,plain,
% 7.13/5.27 (((~![VarNext: $i, 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)))))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13704,plain,
% 7.13/5.27 ((~![VarNext: $i, 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)))))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13705,plain,
% 7.13/5.27 ((~![VarNext: $i, 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))))),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13704, 13703])).
% 7.13/5.27 tff(13706,plain,
% 7.13/5.27 (~(((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0)))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13705, 13702, 505])).
% 7.13/5.27 tff(13707,plain,
% 7.13/5.27 ((((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0))) | (~((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)))),
% 7.13/5.27 inference(tautology,[status(thm)],[])).
% 7.13/5.27 tff(13708,plain,
% 7.13/5.27 (~((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13707, 13706])).
% 7.13/5.27 tff(13709,plain,
% 7.13/5.27 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB145) <=> v26(constB145))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13710,plain,
% 7.13/5.27 (v111(constB145) <=> v26(constB145)),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13709, 524])).
% 7.13/5.27 tff(13711,plain,
% 7.13/5.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13712,plain,
% 7.13/5.27 (~v26(constB145)),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13711, 536])).
% 7.13/5.27 tff(13713,plain,
% 7.13/5.27 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145)) | v26(constB145)),
% 7.13/5.27 inference(tautology,[status(thm)],[])).
% 7.13/5.27 tff(13714,plain,
% 7.13/5.27 ((~(v111(constB145) <=> v26(constB145))) | (~v111(constB145))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13713, 13712])).
% 7.13/5.27 tff(13715,plain,
% 7.13/5.27 (~v111(constB145)),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13714, 13710])).
% 7.13/5.27 tff(13716,plain,
% 7.13/5.27 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB145) | (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB145) | (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)))))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13717,plain,
% 7.13/5.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB145) | (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)))))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13718,plain,
% 7.13/5.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB145) | (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1))))),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13717, 13716])).
% 7.13/5.27 tff(13719,plain,
% 7.13/5.27 (v111(constB145) | (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1))))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13718, 554])).
% 7.13/5.27 tff(13720,plain,
% 7.13/5.27 (~(((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13719, 13715])).
% 7.13/5.27 tff(13721,plain,
% 7.13/5.27 ((((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1))) | (~((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)))),
% 7.13/5.27 inference(tautology,[status(thm)],[])).
% 7.13/5.27 tff(13722,plain,
% 7.13/5.27 (~((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13721, 13720])).
% 7.13/5.27 tff(13723,plain,
% 7.13/5.27 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13724,plain,
% 7.13/5.27 (v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13723, 727])).
% 7.13/5.27 tff(13725,plain,
% 7.13/5.27 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13726,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_144')).
% 7.13/5.27 tff(13727,plain,
% 7.13/5.27 (nextState(constB144, constB145)),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13726, 13725])).
% 7.13/5.27 tff(13728,plain,
% 7.13/5.27 (((~![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))))))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13729,plain,
% 7.13/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13730,plain,
% 7.13/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB144, constB145)) | (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13729, 13728])).
% 7.13/5.27 tff(13731,plain,
% 7.13/5.27 (v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145))))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13730, 13727, 433])).
% 7.13/5.27 tff(13732,plain,
% 7.13/5.27 (((~![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))))))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13733,plain,
% 7.13/5.27 (((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145)))))) <=> ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))))),
% 7.13/5.27 inference(rewrite,[status(thm)],[])).
% 7.13/5.27 tff(13734,plain,
% 7.13/5.27 (((~![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)))))))),
% 7.13/5.27 inference(monotonicity,[status(thm)],[13733])).
% 7.13/5.27 tff(13735,plain,
% 7.13/5.27 (((~![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))))))),
% 7.13/5.27 inference(transitivity,[status(thm)],[13734, 13732])).
% 7.13/5.27 tff(13736,plain,
% 7.13/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v102(constB145)) | (~v1(constB145))))))),
% 7.13/5.27 inference(quant_inst,[status(thm)],[])).
% 7.13/5.27 tff(13737,plain,
% 7.13/5.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))),
% 7.13/5.27 inference(modus_ponens,[status(thm)],[13736, 13735])).
% 7.13/5.27 tff(13738,plain,
% 7.13/5.27 (v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145))))),
% 7.13/5.27 inference(unit_resolution,[status(thm)],[13737, 13727, 453])).
% 7.13/5.27 tff(13739,plain,
% 7.13/5.27 ((~v1(constB145)) <=> (~v1(constB145))),
% 7.13/5.28 inference(rewrite,[status(thm)],[])).
% 7.13/5.28 tff(13740,axiom,(~v1(constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_145')).
% 7.13/5.28 tff(13741,plain,
% 7.13/5.28 (~v1(constB145)),
% 7.13/5.28 inference(modus_ponens,[status(thm)],[13740, 13739])).
% 7.13/5.28 tff(13742,plain,
% 7.13/5.28 (((~v1(constB145)) | (~v102(constB145))) | v1(constB145)),
% 7.13/5.28 inference(tautology,[status(thm)],[])).
% 7.13/5.28 tff(13743,plain,
% 7.13/5.28 ((~v1(constB145)) | (~v102(constB145))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13742, 13741])).
% 7.13/5.28 tff(13744,plain,
% 7.13/5.28 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145)) | (~((~v1(constB145)) | (~v102(constB145))))),
% 7.13/5.28 inference(tautology,[status(thm)],[])).
% 7.13/5.28 tff(13745,plain,
% 7.13/5.28 ((~(v101(constB145) <=> (~((~v1(constB145)) | (~v102(constB145)))))) | (~v101(constB145))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13744, 13743])).
% 7.13/5.28 tff(13746,plain,
% 7.13/5.28 (~v101(constB145)),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13745, 13738])).
% 7.13/5.28 tff(13747,plain,
% 7.13/5.28 (((~v101(constB145)) | (~v110(constB145))) | v101(constB145)),
% 7.13/5.28 inference(tautology,[status(thm)],[])).
% 7.13/5.28 tff(13748,plain,
% 7.13/5.28 ((~v101(constB145)) | (~v110(constB145))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13747, 13746])).
% 7.13/5.28 tff(13749,plain,
% 7.13/5.28 ((~(v100(constB145) <=> (~((~v101(constB145)) | (~v110(constB145)))))) | (~v100(constB145)) | (~((~v101(constB145)) | (~v110(constB145))))),
% 7.13/5.28 inference(tautology,[status(thm)],[])).
% 7.13/5.28 tff(13750,plain,
% 7.13/5.28 (~v100(constB145)),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13749, 13748, 13731])).
% 7.13/5.28 tff(13751,plain,
% 7.13/5.28 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.28 inference(rewrite,[status(thm)],[])).
% 7.13/5.28 tff(13752,plain,
% 7.13/5.28 ((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)))))),
% 7.13/5.28 inference(rewrite,[status(thm)],[])).
% 7.13/5.28 tff(13753,plain,
% 7.13/5.28 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.13/5.28 inference(monotonicity,[status(thm)],[13752])).
% 7.13/5.28 tff(13754,plain,
% 7.13/5.28 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.28 inference(transitivity,[status(thm)],[13753, 13751])).
% 7.13/5.28 tff(13755,plain,
% 7.13/5.28 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.13/5.28 inference(quant_inst,[status(thm)],[])).
% 7.13/5.28 tff(13756,plain,
% 7.13/5.28 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.13/5.28 inference(modus_ponens,[status(thm)],[13755, 13754])).
% 7.13/5.28 tff(13757,plain,
% 7.13/5.28 (v100(constB145) | (~(((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13756, 13727, 482])).
% 7.13/5.28 tff(13758,plain,
% 7.13/5.28 (~(((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13757, 13750])).
% 7.13/5.28 tff(13759,plain,
% 7.13/5.28 ((((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))) | (~((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)))),
% 7.13/5.28 inference(tautology,[status(thm)],[])).
% 7.13/5.28 tff(13760,plain,
% 7.13/5.28 (~((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13759, 13758])).
% 7.13/5.28 tff(13761,plain,
% 7.13/5.28 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 7.13/5.28 inference(rewrite,[status(thm)],[])).
% 7.13/5.28 tff(13762,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_143')).
% 7.13/5.28 tff(13763,plain,
% 7.13/5.28 (nextState(constB143, constB144)),
% 7.13/5.28 inference(modus_ponens,[status(thm)],[13762, 13761])).
% 7.13/5.28 tff(13764,plain,
% 7.13/5.28 (((~![VarNext: $i, 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)))))),
% 7.13/5.28 inference(rewrite,[status(thm)],[])).
% 7.13/5.28 tff(13765,plain,
% 7.13/5.28 ((~![VarNext: $i, 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)))))),
% 7.13/5.28 inference(quant_inst,[status(thm)],[])).
% 7.13/5.28 tff(13766,plain,
% 7.13/5.28 ((~![VarNext: $i, 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))))),
% 7.13/5.28 inference(modus_ponens,[status(thm)],[13765, 13764])).
% 7.13/5.28 tff(13767,plain,
% 7.13/5.28 (~(((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0)))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13766, 13763, 505])).
% 7.13/5.28 tff(13768,plain,
% 7.13/5.28 ((((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0))) | (~((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)))),
% 7.13/5.28 inference(tautology,[status(thm)],[])).
% 7.13/5.28 tff(13769,plain,
% 7.13/5.28 (~((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13768, 13767])).
% 7.13/5.28 tff(13770,plain,
% 7.13/5.28 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB143) <=> v26(constB143))),
% 7.13/5.28 inference(quant_inst,[status(thm)],[])).
% 7.13/5.28 tff(13771,plain,
% 7.13/5.28 (v111(constB143) <=> v26(constB143)),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13770, 524])).
% 7.13/5.28 tff(13772,plain,
% 7.13/5.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 7.13/5.28 inference(quant_inst,[status(thm)],[])).
% 7.13/5.28 tff(13773,plain,
% 7.13/5.28 (~v26(constB143)),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13772, 536])).
% 7.13/5.28 tff(13774,plain,
% 7.13/5.28 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143)) | v26(constB143)),
% 7.13/5.28 inference(tautology,[status(thm)],[])).
% 7.13/5.28 tff(13775,plain,
% 7.13/5.28 ((~(v111(constB143) <=> v26(constB143))) | (~v111(constB143))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13774, 13773])).
% 7.13/5.28 tff(13776,plain,
% 7.13/5.28 (~v111(constB143)),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13775, 13771])).
% 7.13/5.28 tff(13777,plain,
% 7.13/5.28 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB143) | (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB143) | (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)))))),
% 7.13/5.28 inference(rewrite,[status(thm)],[])).
% 7.13/5.28 tff(13778,plain,
% 7.13/5.28 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB143) | (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)))))),
% 7.13/5.28 inference(quant_inst,[status(thm)],[])).
% 7.13/5.28 tff(13779,plain,
% 7.13/5.28 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB143) | (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1))))),
% 7.13/5.28 inference(modus_ponens,[status(thm)],[13778, 13777])).
% 7.13/5.28 tff(13780,plain,
% 7.13/5.28 (v111(constB143) | (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1))))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13779, 554])).
% 7.13/5.28 tff(13781,plain,
% 7.13/5.28 (~(((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13780, 13776])).
% 7.13/5.28 tff(13782,plain,
% 7.13/5.28 ((((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1))) | (~((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)))),
% 7.13/5.28 inference(tautology,[status(thm)],[])).
% 7.13/5.28 tff(13783,plain,
% 7.13/5.28 (~((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2))),
% 7.13/5.28 inference(unit_resolution,[status(thm)],[13782, 13781])).
% 7.13/5.28 tff(13784,plain,
% 7.13/5.28 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0))))))),
% 7.13/5.28 inference(rewrite,[status(thm)],[])).
% 7.13/5.28 tff(13785,plain,
% 7.13/5.28 ((v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex2))))) <=> (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0)))))),
% 7.13/5.28 inference(rewrite,[status(thm)],[])).
% 7.13/5.28 tff(13786,plain,
% 7.13/5.28 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0))))))),
% 7.17/5.28 inference(monotonicity,[status(thm)],[13785])).
% 7.17/5.28 tff(13787,plain,
% 7.17/5.28 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0))))))),
% 7.17/5.28 inference(transitivity,[status(thm)],[13786, 13784])).
% 7.17/5.28 tff(13788,plain,
% 7.17/5.28 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex0)) | (~v90(constB143, bitIndex2)))))),
% 7.17/5.28 inference(quant_inst,[status(thm)],[])).
% 7.17/5.28 tff(13789,plain,
% 7.17/5.28 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0)))))),
% 7.17/5.28 inference(modus_ponens,[status(thm)],[13788, 13787])).
% 7.17/5.28 tff(13790,plain,
% 7.17/5.28 (v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0))))),
% 7.17/5.28 inference(unit_resolution,[status(thm)],[13789, 801])).
% 7.17/5.28 tff(13791,plain,
% 7.17/5.28 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 7.17/5.28 inference(rewrite,[status(thm)],[])).
% 7.17/5.28 tff(13792,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_142')).
% 7.17/5.28 tff(13793,plain,
% 7.17/5.28 (nextState(constB142, constB143)),
% 7.17/5.28 inference(modus_ponens,[status(thm)],[13792, 13791])).
% 7.17/5.28 tff(13794,plain,
% 7.17/5.28 (((~![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))))))),
% 7.17/5.28 inference(rewrite,[status(thm)],[])).
% 7.17/5.28 tff(13795,plain,
% 7.17/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))))),
% 7.17/5.28 inference(quant_inst,[status(thm)],[])).
% 7.17/5.28 tff(13796,plain,
% 7.17/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB142, constB143)) | (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))),
% 7.17/5.28 inference(modus_ponens,[status(thm)],[13795, 13794])).
% 7.17/5.28 tff(13797,plain,
% 7.17/5.28 (v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143))))),
% 7.17/5.28 inference(unit_resolution,[status(thm)],[13796, 13793, 433])).
% 7.17/5.28 tff(13798,plain,
% 7.17/5.28 (((~![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))))))),
% 7.17/5.28 inference(rewrite,[status(thm)],[])).
% 7.17/5.28 tff(13799,plain,
% 7.17/5.28 (((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143)))))) <=> ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))))),
% 7.17/5.28 inference(rewrite,[status(thm)],[])).
% 7.17/5.28 tff(13800,plain,
% 7.17/5.28 (((~![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)))))))),
% 7.17/5.28 inference(monotonicity,[status(thm)],[13799])).
% 7.17/5.28 tff(13801,plain,
% 7.17/5.28 (((~![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))))))),
% 7.17/5.28 inference(transitivity,[status(thm)],[13800, 13798])).
% 7.17/5.28 tff(13802,plain,
% 7.17/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v102(constB143)) | (~v1(constB143))))))),
% 7.17/5.28 inference(quant_inst,[status(thm)],[])).
% 7.17/5.28 tff(13803,plain,
% 7.17/5.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))),
% 7.17/5.28 inference(modus_ponens,[status(thm)],[13802, 13801])).
% 7.17/5.28 tff(13804,plain,
% 7.17/5.28 (v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143))))),
% 7.17/5.28 inference(unit_resolution,[status(thm)],[13803, 13793, 453])).
% 7.17/5.28 tff(13805,plain,
% 7.17/5.28 ((~v1(constB143)) <=> (~v1(constB143))),
% 7.17/5.28 inference(rewrite,[status(thm)],[])).
% 7.17/5.28 tff(13806,axiom,(~v1(constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_143')).
% 7.17/5.28 tff(13807,plain,
% 7.17/5.28 (~v1(constB143)),
% 7.17/5.28 inference(modus_ponens,[status(thm)],[13806, 13805])).
% 7.17/5.28 tff(13808,plain,
% 7.17/5.28 (((~v1(constB143)) | (~v102(constB143))) | v1(constB143)),
% 7.17/5.28 inference(tautology,[status(thm)],[])).
% 7.17/5.28 tff(13809,plain,
% 7.17/5.28 ((~v1(constB143)) | (~v102(constB143))),
% 7.17/5.28 inference(unit_resolution,[status(thm)],[13808, 13807])).
% 7.17/5.28 tff(13810,plain,
% 7.17/5.28 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143)) | (~((~v1(constB143)) | (~v102(constB143))))),
% 7.17/5.28 inference(tautology,[status(thm)],[])).
% 7.17/5.28 tff(13811,plain,
% 7.17/5.28 ((~(v101(constB143) <=> (~((~v1(constB143)) | (~v102(constB143)))))) | (~v101(constB143))),
% 7.17/5.28 inference(unit_resolution,[status(thm)],[13810, 13809])).
% 7.17/5.28 tff(13812,plain,
% 7.17/5.28 (~v101(constB143)),
% 7.17/5.28 inference(unit_resolution,[status(thm)],[13811, 13804])).
% 7.17/5.28 tff(13813,plain,
% 7.17/5.28 (((~v101(constB143)) | (~v110(constB143))) | v101(constB143)),
% 7.17/5.28 inference(tautology,[status(thm)],[])).
% 7.17/5.28 tff(13814,plain,
% 7.17/5.28 ((~v101(constB143)) | (~v110(constB143))),
% 7.17/5.28 inference(unit_resolution,[status(thm)],[13813, 13812])).
% 7.17/5.28 tff(13815,plain,
% 7.17/5.28 ((~(v100(constB143) <=> (~((~v101(constB143)) | (~v110(constB143)))))) | (~v100(constB143)) | (~((~v101(constB143)) | (~v110(constB143))))),
% 7.17/5.28 inference(tautology,[status(thm)],[])).
% 7.17/5.28 tff(13816,plain,
% 7.17/5.28 (~v100(constB143)),
% 7.17/5.28 inference(unit_resolution,[status(thm)],[13815, 13814, 13797])).
% 7.17/5.28 tff(13817,plain,
% 7.17/5.28 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.28 inference(rewrite,[status(thm)],[])).
% 7.17/5.28 tff(13818,plain,
% 7.17/5.28 ((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)))))),
% 7.17/5.28 inference(rewrite,[status(thm)],[])).
% 7.17/5.28 tff(13819,plain,
% 7.17/5.28 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.17/5.28 inference(monotonicity,[status(thm)],[13818])).
% 7.17/5.28 tff(13820,plain,
% 7.17/5.28 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.28 inference(transitivity,[status(thm)],[13819, 13817])).
% 7.17/5.28 tff(13821,plain,
% 7.17/5.28 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.28 inference(quant_inst,[status(thm)],[])).
% 7.17/5.28 tff(13822,plain,
% 7.17/5.28 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13821, 13820])).
% 7.17/5.29 tff(13823,plain,
% 7.17/5.29 (v100(constB143) | (~(((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13822, 13793, 482])).
% 7.17/5.29 tff(13824,plain,
% 7.17/5.29 (~(((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13823, 13816])).
% 7.17/5.29 tff(13825,plain,
% 7.17/5.29 ((((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))) | (~((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)))),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13826,plain,
% 7.17/5.29 (~((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13825, 13824])).
% 7.17/5.29 tff(13827,plain,
% 7.17/5.29 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13828,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_141')).
% 7.17/5.29 tff(13829,plain,
% 7.17/5.29 (nextState(constB141, constB142)),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13828, 13827])).
% 7.17/5.29 tff(13830,plain,
% 7.17/5.29 (((~![VarNext: $i, 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)))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13831,plain,
% 7.17/5.29 ((~![VarNext: $i, 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)))))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13832,plain,
% 7.17/5.29 ((~![VarNext: $i, 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))))),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13831, 13830])).
% 7.17/5.29 tff(13833,plain,
% 7.17/5.29 (~(((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0)))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13832, 13829, 505])).
% 7.17/5.29 tff(13834,plain,
% 7.17/5.29 ((((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0))) | (~((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)))),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13835,plain,
% 7.17/5.29 (~((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13834, 13833])).
% 7.17/5.29 tff(13836,plain,
% 7.17/5.29 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB141) <=> v26(constB141))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13837,plain,
% 7.17/5.29 (v111(constB141) <=> v26(constB141)),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13836, 524])).
% 7.17/5.29 tff(13838,plain,
% 7.17/5.29 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13839,plain,
% 7.17/5.29 (~v26(constB141)),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13838, 536])).
% 7.17/5.29 tff(13840,plain,
% 7.17/5.29 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141)) | v26(constB141)),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13841,plain,
% 7.17/5.29 ((~(v111(constB141) <=> v26(constB141))) | (~v111(constB141))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13840, 13839])).
% 7.17/5.29 tff(13842,plain,
% 7.17/5.29 (~v111(constB141)),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13841, 13837])).
% 7.17/5.29 tff(13843,plain,
% 7.17/5.29 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB141) | (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB141) | (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13844,plain,
% 7.17/5.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB141) | (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)))))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13845,plain,
% 7.17/5.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB141) | (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1))))),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13844, 13843])).
% 7.17/5.29 tff(13846,plain,
% 7.17/5.29 (v111(constB141) | (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1))))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13845, 554])).
% 7.17/5.29 tff(13847,plain,
% 7.17/5.29 (~(((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13846, 13842])).
% 7.17/5.29 tff(13848,plain,
% 7.17/5.29 ((((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1))) | (~((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)))),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13849,plain,
% 7.17/5.29 (~((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13848, 13847])).
% 7.17/5.29 tff(13850,plain,
% 7.17/5.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2))))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13851,plain,
% 7.17/5.29 ((v123(constB141) <=> (~(v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2))))) <=> (v123(constB141) <=> (~(v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2)))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13852,plain,
% 7.17/5.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2))))))),
% 7.17/5.29 inference(monotonicity,[status(thm)],[13851])).
% 7.17/5.29 tff(13853,plain,
% 7.17/5.29 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2))))))),
% 7.17/5.29 inference(transitivity,[status(thm)],[13852, 13850])).
% 7.17/5.29 tff(13854,plain,
% 7.17/5.29 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex0) | v90(constB141, bitIndex1) | (~v90(constB141, bitIndex2)))))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13855,plain,
% 7.17/5.29 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB141) <=> (~(v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2)))))),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13854, 13853])).
% 7.17/5.29 tff(13856,plain,
% 7.17/5.29 (v123(constB141) <=> (~(v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2))))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13855, 880])).
% 7.17/5.29 tff(13857,plain,
% 7.17/5.29 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13858,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_140')).
% 7.17/5.29 tff(13859,plain,
% 7.17/5.29 (nextState(constB140, constB141)),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13858, 13857])).
% 7.17/5.29 tff(13860,plain,
% 7.17/5.29 (((~![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))))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13861,plain,
% 7.17/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13862,plain,
% 7.17/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB140, constB141)) | (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13861, 13860])).
% 7.17/5.29 tff(13863,plain,
% 7.17/5.29 (v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141))))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13862, 13859, 433])).
% 7.17/5.29 tff(13864,plain,
% 7.17/5.29 (((~![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))))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13865,plain,
% 7.17/5.29 (((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141)))))) <=> ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13866,plain,
% 7.17/5.29 (((~![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)))))))),
% 7.17/5.29 inference(monotonicity,[status(thm)],[13865])).
% 7.17/5.29 tff(13867,plain,
% 7.17/5.29 (((~![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))))))),
% 7.17/5.29 inference(transitivity,[status(thm)],[13866, 13864])).
% 7.17/5.29 tff(13868,plain,
% 7.17/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v102(constB141)) | (~v1(constB141))))))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13869,plain,
% 7.17/5.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13868, 13867])).
% 7.17/5.29 tff(13870,plain,
% 7.17/5.29 (v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141))))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13869, 13859, 453])).
% 7.17/5.29 tff(13871,plain,
% 7.17/5.29 ((~v1(constB141)) <=> (~v1(constB141))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13872,axiom,(~v1(constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_141')).
% 7.17/5.29 tff(13873,plain,
% 7.17/5.29 (~v1(constB141)),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13872, 13871])).
% 7.17/5.29 tff(13874,plain,
% 7.17/5.29 (((~v1(constB141)) | (~v102(constB141))) | v1(constB141)),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13875,plain,
% 7.17/5.29 ((~v1(constB141)) | (~v102(constB141))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13874, 13873])).
% 7.17/5.29 tff(13876,plain,
% 7.17/5.29 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141)) | (~((~v1(constB141)) | (~v102(constB141))))),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13877,plain,
% 7.17/5.29 ((~(v101(constB141) <=> (~((~v1(constB141)) | (~v102(constB141)))))) | (~v101(constB141))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13876, 13875])).
% 7.17/5.29 tff(13878,plain,
% 7.17/5.29 (~v101(constB141)),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13877, 13870])).
% 7.17/5.29 tff(13879,plain,
% 7.17/5.29 (((~v101(constB141)) | (~v110(constB141))) | v101(constB141)),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13880,plain,
% 7.17/5.29 ((~v101(constB141)) | (~v110(constB141))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13879, 13878])).
% 7.17/5.29 tff(13881,plain,
% 7.17/5.29 ((~(v100(constB141) <=> (~((~v101(constB141)) | (~v110(constB141)))))) | (~v100(constB141)) | (~((~v101(constB141)) | (~v110(constB141))))),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13882,plain,
% 7.17/5.29 (~v100(constB141)),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13881, 13880, 13863])).
% 7.17/5.29 tff(13883,plain,
% 7.17/5.29 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13884,plain,
% 7.17/5.29 ((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)))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13885,plain,
% 7.17/5.29 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.17/5.29 inference(monotonicity,[status(thm)],[13884])).
% 7.17/5.29 tff(13886,plain,
% 7.17/5.29 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.29 inference(transitivity,[status(thm)],[13885, 13883])).
% 7.17/5.29 tff(13887,plain,
% 7.17/5.29 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13888,plain,
% 7.17/5.29 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13887, 13886])).
% 7.17/5.29 tff(13889,plain,
% 7.17/5.29 (v100(constB141) | (~(((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13888, 13859, 482])).
% 7.17/5.29 tff(13890,plain,
% 7.17/5.29 (~(((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13889, 13882])).
% 7.17/5.29 tff(13891,plain,
% 7.17/5.29 ((((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))) | (~((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)))),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13892,plain,
% 7.17/5.29 (~((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13891, 13890])).
% 7.17/5.29 tff(13893,plain,
% 7.17/5.29 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13894,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_139')).
% 7.17/5.29 tff(13895,plain,
% 7.17/5.29 (nextState(constB139, constB140)),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13894, 13893])).
% 7.17/5.29 tff(13896,plain,
% 7.17/5.29 (((~![VarNext: $i, 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)))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13897,plain,
% 7.17/5.29 ((~![VarNext: $i, 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)))))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13898,plain,
% 7.17/5.29 ((~![VarNext: $i, 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))))),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13897, 13896])).
% 7.17/5.29 tff(13899,plain,
% 7.17/5.29 (~(((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0)))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13898, 13895, 505])).
% 7.17/5.29 tff(13900,plain,
% 7.17/5.29 ((((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0))) | (~((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)))),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13901,plain,
% 7.17/5.29 (~((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13900, 13899])).
% 7.17/5.29 tff(13902,plain,
% 7.17/5.29 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB139) <=> v26(constB139))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13903,plain,
% 7.17/5.29 (v111(constB139) <=> v26(constB139)),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13902, 524])).
% 7.17/5.29 tff(13904,plain,
% 7.17/5.29 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13905,plain,
% 7.17/5.29 (~v26(constB139)),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13904, 536])).
% 7.17/5.29 tff(13906,plain,
% 7.17/5.29 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139)) | v26(constB139)),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13907,plain,
% 7.17/5.29 ((~(v111(constB139) <=> v26(constB139))) | (~v111(constB139))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13906, 13905])).
% 7.17/5.29 tff(13908,plain,
% 7.17/5.29 (~v111(constB139)),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13907, 13903])).
% 7.17/5.29 tff(13909,plain,
% 7.17/5.29 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB139) | (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB139) | (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13910,plain,
% 7.17/5.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB139) | (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)))))),
% 7.17/5.29 inference(quant_inst,[status(thm)],[])).
% 7.17/5.29 tff(13911,plain,
% 7.17/5.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB139) | (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1))))),
% 7.17/5.29 inference(modus_ponens,[status(thm)],[13910, 13909])).
% 7.17/5.29 tff(13912,plain,
% 7.17/5.29 (v111(constB139) | (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1))))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13911, 554])).
% 7.17/5.29 tff(13913,plain,
% 7.17/5.29 (~(((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13912, 13908])).
% 7.17/5.29 tff(13914,plain,
% 7.17/5.29 ((((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1))) | (~((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)))),
% 7.17/5.29 inference(tautology,[status(thm)],[])).
% 7.17/5.29 tff(13915,plain,
% 7.17/5.29 (~((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2))),
% 7.17/5.29 inference(unit_resolution,[status(thm)],[13914, 13913])).
% 7.17/5.29 tff(13916,plain,
% 7.17/5.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13917,plain,
% 7.17/5.29 ((v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1))))) <=> (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))))),
% 7.17/5.29 inference(rewrite,[status(thm)],[])).
% 7.17/5.29 tff(13918,plain,
% 7.17/5.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))))))),
% 7.17/5.29 inference(monotonicity,[status(thm)],[13917])).
% 7.17/5.29 tff(13919,plain,
% 7.17/5.29 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))))))),
% 7.17/5.30 inference(transitivity,[status(thm)],[13918, 13916])).
% 7.17/5.30 tff(13920,plain,
% 7.17/5.30 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex0)) | (~v90(constB139, bitIndex1)))))),
% 7.17/5.30 inference(quant_inst,[status(thm)],[])).
% 7.17/5.30 tff(13921,plain,
% 7.17/5.30 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))))),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13920, 13919])).
% 7.17/5.30 tff(13922,plain,
% 7.17/5.30 (v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13921, 959])).
% 7.17/5.30 tff(13923,plain,
% 7.17/5.30 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13924,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_138')).
% 7.17/5.30 tff(13925,plain,
% 7.17/5.30 (nextState(constB138, constB139)),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13924, 13923])).
% 7.17/5.30 tff(13926,plain,
% 7.17/5.30 (((~![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))))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13927,plain,
% 7.17/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))))),
% 7.17/5.30 inference(quant_inst,[status(thm)],[])).
% 7.17/5.30 tff(13928,plain,
% 7.17/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB138, constB139)) | (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13927, 13926])).
% 7.17/5.30 tff(13929,plain,
% 7.17/5.30 (v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139))))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13928, 13925, 433])).
% 7.17/5.30 tff(13930,plain,
% 7.17/5.30 (((~![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))))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13931,plain,
% 7.17/5.30 (((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139)))))) <=> ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13932,plain,
% 7.17/5.30 (((~![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)))))))),
% 7.17/5.30 inference(monotonicity,[status(thm)],[13931])).
% 7.17/5.30 tff(13933,plain,
% 7.17/5.30 (((~![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))))))),
% 7.17/5.30 inference(transitivity,[status(thm)],[13932, 13930])).
% 7.17/5.30 tff(13934,plain,
% 7.17/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v102(constB139)) | (~v1(constB139))))))),
% 7.17/5.30 inference(quant_inst,[status(thm)],[])).
% 7.17/5.30 tff(13935,plain,
% 7.17/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13934, 13933])).
% 7.17/5.30 tff(13936,plain,
% 7.17/5.30 (v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139))))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13935, 13925, 453])).
% 7.17/5.30 tff(13937,plain,
% 7.17/5.30 ((~v1(constB139)) <=> (~v1(constB139))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13938,axiom,(~v1(constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_139')).
% 7.17/5.30 tff(13939,plain,
% 7.17/5.30 (~v1(constB139)),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13938, 13937])).
% 7.17/5.30 tff(13940,plain,
% 7.17/5.30 (((~v1(constB139)) | (~v102(constB139))) | v1(constB139)),
% 7.17/5.30 inference(tautology,[status(thm)],[])).
% 7.17/5.30 tff(13941,plain,
% 7.17/5.30 ((~v1(constB139)) | (~v102(constB139))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13940, 13939])).
% 7.17/5.30 tff(13942,plain,
% 7.17/5.30 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139)) | (~((~v1(constB139)) | (~v102(constB139))))),
% 7.17/5.30 inference(tautology,[status(thm)],[])).
% 7.17/5.30 tff(13943,plain,
% 7.17/5.30 ((~(v101(constB139) <=> (~((~v1(constB139)) | (~v102(constB139)))))) | (~v101(constB139))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13942, 13941])).
% 7.17/5.30 tff(13944,plain,
% 7.17/5.30 (~v101(constB139)),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13943, 13936])).
% 7.17/5.30 tff(13945,plain,
% 7.17/5.30 (((~v101(constB139)) | (~v110(constB139))) | v101(constB139)),
% 7.17/5.30 inference(tautology,[status(thm)],[])).
% 7.17/5.30 tff(13946,plain,
% 7.17/5.30 ((~v101(constB139)) | (~v110(constB139))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13945, 13944])).
% 7.17/5.30 tff(13947,plain,
% 7.17/5.30 ((~(v100(constB139) <=> (~((~v101(constB139)) | (~v110(constB139)))))) | (~v100(constB139)) | (~((~v101(constB139)) | (~v110(constB139))))),
% 7.17/5.30 inference(tautology,[status(thm)],[])).
% 7.17/5.30 tff(13948,plain,
% 7.17/5.30 (~v100(constB139)),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13947, 13946, 13929])).
% 7.17/5.30 tff(13949,plain,
% 7.17/5.30 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13950,plain,
% 7.17/5.30 ((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)))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13951,plain,
% 7.17/5.30 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.17/5.30 inference(monotonicity,[status(thm)],[13950])).
% 7.17/5.30 tff(13952,plain,
% 7.17/5.30 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.30 inference(transitivity,[status(thm)],[13951, 13949])).
% 7.17/5.30 tff(13953,plain,
% 7.17/5.30 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.30 inference(quant_inst,[status(thm)],[])).
% 7.17/5.30 tff(13954,plain,
% 7.17/5.30 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13953, 13952])).
% 7.17/5.30 tff(13955,plain,
% 7.17/5.30 (v100(constB139) | (~(((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13954, 13925, 482])).
% 7.17/5.30 tff(13956,plain,
% 7.17/5.30 (~(((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13955, 13948])).
% 7.17/5.30 tff(13957,plain,
% 7.17/5.30 ((((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))) | (~((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)))),
% 7.17/5.30 inference(tautology,[status(thm)],[])).
% 7.17/5.30 tff(13958,plain,
% 7.17/5.30 (~((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13957, 13956])).
% 7.17/5.30 tff(13959,plain,
% 7.17/5.30 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13960,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_137')).
% 7.17/5.30 tff(13961,plain,
% 7.17/5.30 (nextState(constB137, constB138)),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13960, 13959])).
% 7.17/5.30 tff(13962,plain,
% 7.17/5.30 (((~![VarNext: $i, 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)))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13963,plain,
% 7.17/5.30 ((~![VarNext: $i, 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)))))),
% 7.17/5.30 inference(quant_inst,[status(thm)],[])).
% 7.17/5.30 tff(13964,plain,
% 7.17/5.30 ((~![VarNext: $i, 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))))),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13963, 13962])).
% 7.17/5.30 tff(13965,plain,
% 7.17/5.30 (~(((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0)))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13964, 13961, 505])).
% 7.17/5.30 tff(13966,plain,
% 7.17/5.30 ((((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0))) | (~((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)))),
% 7.17/5.30 inference(tautology,[status(thm)],[])).
% 7.17/5.30 tff(13967,plain,
% 7.17/5.30 (~((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13966, 13965])).
% 7.17/5.30 tff(13968,plain,
% 7.17/5.30 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB137) <=> v26(constB137))),
% 7.17/5.30 inference(quant_inst,[status(thm)],[])).
% 7.17/5.30 tff(13969,plain,
% 7.17/5.30 (v111(constB137) <=> v26(constB137)),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13968, 524])).
% 7.17/5.30 tff(13970,plain,
% 7.17/5.30 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 7.17/5.30 inference(quant_inst,[status(thm)],[])).
% 7.17/5.30 tff(13971,plain,
% 7.17/5.30 (~v26(constB137)),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13970, 536])).
% 7.17/5.30 tff(13972,plain,
% 7.17/5.30 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137)) | v26(constB137)),
% 7.17/5.30 inference(tautology,[status(thm)],[])).
% 7.17/5.30 tff(13973,plain,
% 7.17/5.30 ((~(v111(constB137) <=> v26(constB137))) | (~v111(constB137))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13972, 13971])).
% 7.17/5.30 tff(13974,plain,
% 7.17/5.30 (~v111(constB137)),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13973, 13969])).
% 7.17/5.30 tff(13975,plain,
% 7.17/5.30 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB137) | (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB137) | (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13976,plain,
% 7.17/5.30 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB137) | (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)))))),
% 7.17/5.30 inference(quant_inst,[status(thm)],[])).
% 7.17/5.30 tff(13977,plain,
% 7.17/5.30 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB137) | (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1))))),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13976, 13975])).
% 7.17/5.30 tff(13978,plain,
% 7.17/5.30 (v111(constB137) | (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1))))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13977, 554])).
% 7.17/5.30 tff(13979,plain,
% 7.17/5.30 (~(((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13978, 13974])).
% 7.17/5.30 tff(13980,plain,
% 7.17/5.30 ((((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1))) | (~((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)))),
% 7.17/5.30 inference(tautology,[status(thm)],[])).
% 7.17/5.30 tff(13981,plain,
% 7.17/5.30 (~((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13980, 13979])).
% 7.17/5.30 tff(13982,plain,
% 7.17/5.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1))))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13983,plain,
% 7.17/5.30 ((v121(constB137) <=> (~(v90(constB137, bitIndex0) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1))))) <=> (v121(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13984,plain,
% 7.17/5.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex0) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1))))))),
% 7.17/5.30 inference(monotonicity,[status(thm)],[13983])).
% 7.17/5.30 tff(13985,plain,
% 7.17/5.30 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex0) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1))))))),
% 7.17/5.30 inference(transitivity,[status(thm)],[13984, 13982])).
% 7.17/5.30 tff(13986,plain,
% 7.17/5.30 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex0) | v90(constB137, bitIndex2) | (~v90(constB137, bitIndex1)))))),
% 7.17/5.30 inference(quant_inst,[status(thm)],[])).
% 7.17/5.30 tff(13987,plain,
% 7.17/5.30 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)))))),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13986, 13985])).
% 7.17/5.30 tff(13988,plain,
% 7.17/5.30 (v121(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1))))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13987, 574])).
% 7.17/5.30 tff(13989,plain,
% 7.17/5.30 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13990,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_136')).
% 7.17/5.30 tff(13991,plain,
% 7.17/5.30 (nextState(constB136, constB137)),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13990, 13989])).
% 7.17/5.30 tff(13992,plain,
% 7.17/5.30 (((~![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))))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13993,plain,
% 7.17/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))))),
% 7.17/5.30 inference(quant_inst,[status(thm)],[])).
% 7.17/5.30 tff(13994,plain,
% 7.17/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB136, constB137)) | (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[13993, 13992])).
% 7.17/5.30 tff(13995,plain,
% 7.17/5.30 (v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137))))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[13994, 13991, 433])).
% 7.17/5.30 tff(13996,plain,
% 7.17/5.30 (((~![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))))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13997,plain,
% 7.17/5.30 (((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137)))))) <=> ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(13998,plain,
% 7.17/5.30 (((~![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)))))))),
% 7.17/5.30 inference(monotonicity,[status(thm)],[13997])).
% 7.17/5.30 tff(13999,plain,
% 7.17/5.30 (((~![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))))))),
% 7.17/5.30 inference(transitivity,[status(thm)],[13998, 13996])).
% 7.17/5.30 tff(14000,plain,
% 7.17/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v102(constB137)) | (~v1(constB137))))))),
% 7.17/5.30 inference(quant_inst,[status(thm)],[])).
% 7.17/5.30 tff(14001,plain,
% 7.17/5.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[14000, 13999])).
% 7.17/5.30 tff(14002,plain,
% 7.17/5.30 (v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137))))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[14001, 13991, 453])).
% 7.17/5.30 tff(14003,plain,
% 7.17/5.30 ((~v1(constB137)) <=> (~v1(constB137))),
% 7.17/5.30 inference(rewrite,[status(thm)],[])).
% 7.17/5.30 tff(14004,axiom,(~v1(constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_137')).
% 7.17/5.30 tff(14005,plain,
% 7.17/5.30 (~v1(constB137)),
% 7.17/5.30 inference(modus_ponens,[status(thm)],[14004, 14003])).
% 7.17/5.30 tff(14006,plain,
% 7.17/5.30 (((~v1(constB137)) | (~v102(constB137))) | v1(constB137)),
% 7.17/5.30 inference(tautology,[status(thm)],[])).
% 7.17/5.30 tff(14007,plain,
% 7.17/5.30 ((~v1(constB137)) | (~v102(constB137))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[14006, 14005])).
% 7.17/5.30 tff(14008,plain,
% 7.17/5.30 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137)) | (~((~v1(constB137)) | (~v102(constB137))))),
% 7.17/5.30 inference(tautology,[status(thm)],[])).
% 7.17/5.30 tff(14009,plain,
% 7.17/5.30 ((~(v101(constB137) <=> (~((~v1(constB137)) | (~v102(constB137)))))) | (~v101(constB137))),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[14008, 14007])).
% 7.17/5.30 tff(14010,plain,
% 7.17/5.30 (~v101(constB137)),
% 7.17/5.30 inference(unit_resolution,[status(thm)],[14009, 14002])).
% 7.17/5.30 tff(14011,plain,
% 7.17/5.30 (((~v101(constB137)) | (~v110(constB137))) | v101(constB137)),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14012,plain,
% 7.17/5.31 ((~v101(constB137)) | (~v110(constB137))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14011, 14010])).
% 7.17/5.31 tff(14013,plain,
% 7.17/5.31 ((~(v100(constB137) <=> (~((~v101(constB137)) | (~v110(constB137)))))) | (~v100(constB137)) | (~((~v101(constB137)) | (~v110(constB137))))),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14014,plain,
% 7.17/5.31 (~v100(constB137)),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14013, 14012, 13995])).
% 7.17/5.31 tff(14015,plain,
% 7.17/5.31 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14016,plain,
% 7.17/5.31 ((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)))))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14017,plain,
% 7.17/5.31 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.17/5.31 inference(monotonicity,[status(thm)],[14016])).
% 7.17/5.31 tff(14018,plain,
% 7.17/5.31 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.31 inference(transitivity,[status(thm)],[14017, 14015])).
% 7.17/5.31 tff(14019,plain,
% 7.17/5.31 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14020,plain,
% 7.17/5.31 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14019, 14018])).
% 7.17/5.31 tff(14021,plain,
% 7.17/5.31 (v100(constB137) | (~(((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14020, 13991, 482])).
% 7.17/5.31 tff(14022,plain,
% 7.17/5.31 (~(((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14021, 14014])).
% 7.17/5.31 tff(14023,plain,
% 7.17/5.31 ((((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))) | (~((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)))),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14024,plain,
% 7.17/5.31 (~((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14023, 14022])).
% 7.17/5.31 tff(14025,plain,
% 7.17/5.31 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14026,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_135')).
% 7.17/5.31 tff(14027,plain,
% 7.17/5.31 (nextState(constB135, constB136)),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14026, 14025])).
% 7.17/5.31 tff(14028,plain,
% 7.17/5.31 (((~![VarNext: $i, 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)))))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14029,plain,
% 7.17/5.31 ((~![VarNext: $i, 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)))))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14030,plain,
% 7.17/5.31 ((~![VarNext: $i, 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))))),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14029, 14028])).
% 7.17/5.31 tff(14031,plain,
% 7.17/5.31 (~(((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0)))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14030, 14027, 505])).
% 7.17/5.31 tff(14032,plain,
% 7.17/5.31 ((((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0))) | (~((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)))),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14033,plain,
% 7.17/5.31 (~((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14032, 14031])).
% 7.17/5.31 tff(14034,plain,
% 7.17/5.31 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB135) <=> v26(constB135))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14035,plain,
% 7.17/5.31 (v111(constB135) <=> v26(constB135)),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14034, 524])).
% 7.17/5.31 tff(14036,plain,
% 7.17/5.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14037,plain,
% 7.17/5.31 (~v26(constB135)),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14036, 536])).
% 7.17/5.31 tff(14038,plain,
% 7.17/5.31 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135)) | v26(constB135)),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14039,plain,
% 7.17/5.31 ((~(v111(constB135) <=> v26(constB135))) | (~v111(constB135))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14038, 14037])).
% 7.17/5.31 tff(14040,plain,
% 7.17/5.31 (~v111(constB135)),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14039, 14035])).
% 7.17/5.31 tff(14041,plain,
% 7.17/5.31 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB135) | (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB135) | (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)))))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14042,plain,
% 7.17/5.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB135) | (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)))))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14043,plain,
% 7.17/5.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB135) | (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1))))),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14042, 14041])).
% 7.17/5.31 tff(14044,plain,
% 7.17/5.31 (v111(constB135) | (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1))))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14043, 554])).
% 7.17/5.31 tff(14045,plain,
% 7.17/5.31 (~(((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14044, 14040])).
% 7.17/5.31 tff(14046,plain,
% 7.17/5.31 ((((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1))) | (~((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)))),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14047,plain,
% 7.17/5.31 (~((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14046, 14045])).
% 7.17/5.31 tff(14048,plain,
% 7.17/5.31 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14049,plain,
% 7.17/5.31 (v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0))))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14048, 653])).
% 7.17/5.31 tff(14050,plain,
% 7.17/5.31 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14051,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_134')).
% 7.17/5.31 tff(14052,plain,
% 7.17/5.31 (nextState(constB134, constB135)),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14051, 14050])).
% 7.17/5.31 tff(14053,plain,
% 7.17/5.31 (((~![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))))))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14054,plain,
% 7.17/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14055,plain,
% 7.17/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB134, constB135)) | (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14054, 14053])).
% 7.17/5.31 tff(14056,plain,
% 7.17/5.31 (v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135))))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14055, 14052, 433])).
% 7.17/5.31 tff(14057,plain,
% 7.17/5.31 (((~![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))))))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14058,plain,
% 7.17/5.31 (((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135)))))) <=> ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14059,plain,
% 7.17/5.31 (((~![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)))))))),
% 7.17/5.31 inference(monotonicity,[status(thm)],[14058])).
% 7.17/5.31 tff(14060,plain,
% 7.17/5.31 (((~![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))))))),
% 7.17/5.31 inference(transitivity,[status(thm)],[14059, 14057])).
% 7.17/5.31 tff(14061,plain,
% 7.17/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v102(constB135)) | (~v1(constB135))))))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14062,plain,
% 7.17/5.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14061, 14060])).
% 7.17/5.31 tff(14063,plain,
% 7.17/5.31 (v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135))))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14062, 14052, 453])).
% 7.17/5.31 tff(14064,plain,
% 7.17/5.31 ((~v1(constB135)) <=> (~v1(constB135))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14065,axiom,(~v1(constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_135')).
% 7.17/5.31 tff(14066,plain,
% 7.17/5.31 (~v1(constB135)),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14065, 14064])).
% 7.17/5.31 tff(14067,plain,
% 7.17/5.31 (((~v1(constB135)) | (~v102(constB135))) | v1(constB135)),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14068,plain,
% 7.17/5.31 ((~v1(constB135)) | (~v102(constB135))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14067, 14066])).
% 7.17/5.31 tff(14069,plain,
% 7.17/5.31 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135)) | (~((~v1(constB135)) | (~v102(constB135))))),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14070,plain,
% 7.17/5.31 ((~(v101(constB135) <=> (~((~v1(constB135)) | (~v102(constB135)))))) | (~v101(constB135))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14069, 14068])).
% 7.17/5.31 tff(14071,plain,
% 7.17/5.31 (~v101(constB135)),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14070, 14063])).
% 7.17/5.31 tff(14072,plain,
% 7.17/5.31 (((~v101(constB135)) | (~v110(constB135))) | v101(constB135)),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14073,plain,
% 7.17/5.31 ((~v101(constB135)) | (~v110(constB135))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14072, 14071])).
% 7.17/5.31 tff(14074,plain,
% 7.17/5.31 ((~(v100(constB135) <=> (~((~v101(constB135)) | (~v110(constB135)))))) | (~v100(constB135)) | (~((~v101(constB135)) | (~v110(constB135))))),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14075,plain,
% 7.17/5.31 (~v100(constB135)),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14074, 14073, 14056])).
% 7.17/5.31 tff(14076,plain,
% 7.17/5.31 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14077,plain,
% 7.17/5.31 ((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)))))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14078,plain,
% 7.17/5.31 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.17/5.31 inference(monotonicity,[status(thm)],[14077])).
% 7.17/5.31 tff(14079,plain,
% 7.17/5.31 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.31 inference(transitivity,[status(thm)],[14078, 14076])).
% 7.17/5.31 tff(14080,plain,
% 7.17/5.31 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14081,plain,
% 7.17/5.31 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14080, 14079])).
% 7.17/5.31 tff(14082,plain,
% 7.17/5.31 (v100(constB135) | (~(((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14081, 14052, 482])).
% 7.17/5.31 tff(14083,plain,
% 7.17/5.31 (~(((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14082, 14075])).
% 7.17/5.31 tff(14084,plain,
% 7.17/5.31 ((((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))) | (~((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)))),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14085,plain,
% 7.17/5.31 (~((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14084, 14083])).
% 7.17/5.31 tff(14086,plain,
% 7.17/5.31 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14087,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_133')).
% 7.17/5.31 tff(14088,plain,
% 7.17/5.31 (nextState(constB133, constB134)),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14087, 14086])).
% 7.17/5.31 tff(14089,plain,
% 7.17/5.31 (((~![VarNext: $i, 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)))))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14090,plain,
% 7.17/5.31 ((~![VarNext: $i, 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)))))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14091,plain,
% 7.17/5.31 ((~![VarNext: $i, 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))))),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14090, 14089])).
% 7.17/5.31 tff(14092,plain,
% 7.17/5.31 (~(((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0)))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14091, 14088, 505])).
% 7.17/5.31 tff(14093,plain,
% 7.17/5.31 ((((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0))) | (~((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)))),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14094,plain,
% 7.17/5.31 (~((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14093, 14092])).
% 7.17/5.31 tff(14095,plain,
% 7.17/5.31 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB133) <=> v26(constB133))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14096,plain,
% 7.17/5.31 (v111(constB133) <=> v26(constB133)),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14095, 524])).
% 7.17/5.31 tff(14097,plain,
% 7.17/5.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14098,plain,
% 7.17/5.31 (~v26(constB133)),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14097, 536])).
% 7.17/5.31 tff(14099,plain,
% 7.17/5.31 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133)) | v26(constB133)),
% 7.17/5.31 inference(tautology,[status(thm)],[])).
% 7.17/5.31 tff(14100,plain,
% 7.17/5.31 ((~(v111(constB133) <=> v26(constB133))) | (~v111(constB133))),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14099, 14098])).
% 7.17/5.31 tff(14101,plain,
% 7.17/5.31 (~v111(constB133)),
% 7.17/5.31 inference(unit_resolution,[status(thm)],[14100, 14096])).
% 7.17/5.31 tff(14102,plain,
% 7.17/5.31 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB133) | (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB133) | (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)))))),
% 7.17/5.31 inference(rewrite,[status(thm)],[])).
% 7.17/5.31 tff(14103,plain,
% 7.17/5.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB133) | (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)))))),
% 7.17/5.31 inference(quant_inst,[status(thm)],[])).
% 7.17/5.31 tff(14104,plain,
% 7.17/5.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB133) | (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1))))),
% 7.17/5.31 inference(modus_ponens,[status(thm)],[14103, 14102])).
% 7.17/5.32 tff(14105,plain,
% 7.17/5.32 (v111(constB133) | (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1))))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14104, 554])).
% 7.17/5.32 tff(14106,plain,
% 7.17/5.32 (~(((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14105, 14101])).
% 7.17/5.32 tff(14107,plain,
% 7.17/5.32 ((((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1))) | (~((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)))),
% 7.17/5.32 inference(tautology,[status(thm)],[])).
% 7.17/5.32 tff(14108,plain,
% 7.17/5.32 (~((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14107, 14106])).
% 7.17/5.32 tff(14109,plain,
% 7.17/5.32 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))))),
% 7.17/5.32 inference(quant_inst,[status(thm)],[])).
% 7.17/5.32 tff(14110,plain,
% 7.17/5.32 (v119(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14109, 727])).
% 7.17/5.32 tff(14111,plain,
% 7.17/5.32 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14112,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_132')).
% 7.17/5.32 tff(14113,plain,
% 7.17/5.32 (nextState(constB132, constB133)),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14112, 14111])).
% 7.17/5.32 tff(14114,plain,
% 7.17/5.32 (((~![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))))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14115,plain,
% 7.17/5.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))))),
% 7.17/5.32 inference(quant_inst,[status(thm)],[])).
% 7.17/5.32 tff(14116,plain,
% 7.17/5.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB132, constB133)) | (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14115, 14114])).
% 7.17/5.32 tff(14117,plain,
% 7.17/5.32 (v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133))))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14116, 14113, 433])).
% 7.17/5.32 tff(14118,plain,
% 7.17/5.32 (((~![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))))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14119,plain,
% 7.17/5.32 (((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133)))))) <=> ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14120,plain,
% 7.17/5.32 (((~![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)))))))),
% 7.17/5.32 inference(monotonicity,[status(thm)],[14119])).
% 7.17/5.32 tff(14121,plain,
% 7.17/5.32 (((~![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))))))),
% 7.17/5.32 inference(transitivity,[status(thm)],[14120, 14118])).
% 7.17/5.32 tff(14122,plain,
% 7.17/5.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v102(constB133)) | (~v1(constB133))))))),
% 7.17/5.32 inference(quant_inst,[status(thm)],[])).
% 7.17/5.32 tff(14123,plain,
% 7.17/5.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14122, 14121])).
% 7.17/5.32 tff(14124,plain,
% 7.17/5.32 (v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133))))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14123, 14113, 453])).
% 7.17/5.32 tff(14125,plain,
% 7.17/5.32 ((~v1(constB133)) <=> (~v1(constB133))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14126,axiom,(~v1(constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_133')).
% 7.17/5.32 tff(14127,plain,
% 7.17/5.32 (~v1(constB133)),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14126, 14125])).
% 7.17/5.32 tff(14128,plain,
% 7.17/5.32 (((~v1(constB133)) | (~v102(constB133))) | v1(constB133)),
% 7.17/5.32 inference(tautology,[status(thm)],[])).
% 7.17/5.32 tff(14129,plain,
% 7.17/5.32 ((~v1(constB133)) | (~v102(constB133))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14128, 14127])).
% 7.17/5.32 tff(14130,plain,
% 7.17/5.32 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133)) | (~((~v1(constB133)) | (~v102(constB133))))),
% 7.17/5.32 inference(tautology,[status(thm)],[])).
% 7.17/5.32 tff(14131,plain,
% 7.17/5.32 ((~(v101(constB133) <=> (~((~v1(constB133)) | (~v102(constB133)))))) | (~v101(constB133))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14130, 14129])).
% 7.17/5.32 tff(14132,plain,
% 7.17/5.32 (~v101(constB133)),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14131, 14124])).
% 7.17/5.32 tff(14133,plain,
% 7.17/5.32 (((~v101(constB133)) | (~v110(constB133))) | v101(constB133)),
% 7.17/5.32 inference(tautology,[status(thm)],[])).
% 7.17/5.32 tff(14134,plain,
% 7.17/5.32 ((~v101(constB133)) | (~v110(constB133))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14133, 14132])).
% 7.17/5.32 tff(14135,plain,
% 7.17/5.32 ((~(v100(constB133) <=> (~((~v101(constB133)) | (~v110(constB133)))))) | (~v100(constB133)) | (~((~v101(constB133)) | (~v110(constB133))))),
% 7.17/5.32 inference(tautology,[status(thm)],[])).
% 7.17/5.32 tff(14136,plain,
% 7.17/5.32 (~v100(constB133)),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14135, 14134, 14117])).
% 7.17/5.32 tff(14137,plain,
% 7.17/5.32 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14138,plain,
% 7.17/5.32 ((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)))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14139,plain,
% 7.17/5.32 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.17/5.32 inference(monotonicity,[status(thm)],[14138])).
% 7.17/5.32 tff(14140,plain,
% 7.17/5.32 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.32 inference(transitivity,[status(thm)],[14139, 14137])).
% 7.17/5.32 tff(14141,plain,
% 7.17/5.32 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.32 inference(quant_inst,[status(thm)],[])).
% 7.17/5.32 tff(14142,plain,
% 7.17/5.32 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14141, 14140])).
% 7.17/5.32 tff(14143,plain,
% 7.17/5.32 (v100(constB133) | (~(((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14142, 14113, 482])).
% 7.17/5.32 tff(14144,plain,
% 7.17/5.32 (~(((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14143, 14136])).
% 7.17/5.32 tff(14145,plain,
% 7.17/5.32 ((((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))) | (~((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)))),
% 7.17/5.32 inference(tautology,[status(thm)],[])).
% 7.17/5.32 tff(14146,plain,
% 7.17/5.32 (~((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14145, 14144])).
% 7.17/5.32 tff(14147,plain,
% 7.17/5.32 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14148,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_131')).
% 7.17/5.32 tff(14149,plain,
% 7.17/5.32 (nextState(constB131, constB132)),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14148, 14147])).
% 7.17/5.32 tff(14150,plain,
% 7.17/5.32 (((~![VarNext: $i, 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)))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14151,plain,
% 7.17/5.32 ((~![VarNext: $i, 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)))))),
% 7.17/5.32 inference(quant_inst,[status(thm)],[])).
% 7.17/5.32 tff(14152,plain,
% 7.17/5.32 ((~![VarNext: $i, 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))))),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14151, 14150])).
% 7.17/5.32 tff(14153,plain,
% 7.17/5.32 (~(((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0)))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14152, 14149, 505])).
% 7.17/5.32 tff(14154,plain,
% 7.17/5.32 ((((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0))) | (~((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)))),
% 7.17/5.32 inference(tautology,[status(thm)],[])).
% 7.17/5.32 tff(14155,plain,
% 7.17/5.32 (~((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14154, 14153])).
% 7.17/5.32 tff(14156,plain,
% 7.17/5.32 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB131) <=> v26(constB131))),
% 7.17/5.32 inference(quant_inst,[status(thm)],[])).
% 7.17/5.32 tff(14157,plain,
% 7.17/5.32 (v111(constB131) <=> v26(constB131)),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14156, 524])).
% 7.17/5.32 tff(14158,plain,
% 7.17/5.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 7.17/5.32 inference(quant_inst,[status(thm)],[])).
% 7.17/5.32 tff(14159,plain,
% 7.17/5.32 (~v26(constB131)),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14158, 536])).
% 7.17/5.32 tff(14160,plain,
% 7.17/5.32 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131)) | v26(constB131)),
% 7.17/5.32 inference(tautology,[status(thm)],[])).
% 7.17/5.32 tff(14161,plain,
% 7.17/5.32 ((~(v111(constB131) <=> v26(constB131))) | (~v111(constB131))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14160, 14159])).
% 7.17/5.32 tff(14162,plain,
% 7.17/5.32 (~v111(constB131)),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14161, 14157])).
% 7.17/5.32 tff(14163,plain,
% 7.17/5.32 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB131) | (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB131) | (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14164,plain,
% 7.17/5.32 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB131) | (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)))))),
% 7.17/5.32 inference(quant_inst,[status(thm)],[])).
% 7.17/5.32 tff(14165,plain,
% 7.17/5.32 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB131) | (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1))))),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14164, 14163])).
% 7.17/5.32 tff(14166,plain,
% 7.17/5.32 (v111(constB131) | (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1))))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14165, 554])).
% 7.17/5.32 tff(14167,plain,
% 7.17/5.32 (~(((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14166, 14162])).
% 7.17/5.32 tff(14168,plain,
% 7.17/5.32 ((((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1))) | (~((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)))),
% 7.17/5.32 inference(tautology,[status(thm)],[])).
% 7.17/5.32 tff(14169,plain,
% 7.17/5.32 (~((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14168, 14167])).
% 7.17/5.32 tff(14170,plain,
% 7.17/5.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0))))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14171,plain,
% 7.17/5.32 ((v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex2))))) <=> (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0)))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14172,plain,
% 7.17/5.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0))))))),
% 7.17/5.32 inference(monotonicity,[status(thm)],[14171])).
% 7.17/5.32 tff(14173,plain,
% 7.17/5.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0))))))),
% 7.17/5.32 inference(transitivity,[status(thm)],[14172, 14170])).
% 7.17/5.32 tff(14174,plain,
% 7.17/5.32 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex2)))))),
% 7.17/5.32 inference(quant_inst,[status(thm)],[])).
% 7.17/5.32 tff(14175,plain,
% 7.17/5.32 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0)))))),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14174, 14173])).
% 7.17/5.32 tff(14176,plain,
% 7.17/5.32 (v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0))))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14175, 801])).
% 7.17/5.32 tff(14177,plain,
% 7.17/5.32 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14178,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_130')).
% 7.17/5.32 tff(14179,plain,
% 7.17/5.32 (nextState(constB130, constB131)),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14178, 14177])).
% 7.17/5.32 tff(14180,plain,
% 7.17/5.32 (((~![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))))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14181,plain,
% 7.17/5.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))))),
% 7.17/5.32 inference(quant_inst,[status(thm)],[])).
% 7.17/5.32 tff(14182,plain,
% 7.17/5.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB130, constB131)) | (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14181, 14180])).
% 7.17/5.32 tff(14183,plain,
% 7.17/5.32 (v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131))))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14182, 14179, 433])).
% 7.17/5.32 tff(14184,plain,
% 7.17/5.32 (((~![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))))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14185,plain,
% 7.17/5.32 (((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131)))))) <=> ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14186,plain,
% 7.17/5.32 (((~![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)))))))),
% 7.17/5.32 inference(monotonicity,[status(thm)],[14185])).
% 7.17/5.32 tff(14187,plain,
% 7.17/5.32 (((~![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))))))),
% 7.17/5.32 inference(transitivity,[status(thm)],[14186, 14184])).
% 7.17/5.32 tff(14188,plain,
% 7.17/5.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v102(constB131)) | (~v1(constB131))))))),
% 7.17/5.32 inference(quant_inst,[status(thm)],[])).
% 7.17/5.32 tff(14189,plain,
% 7.17/5.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14188, 14187])).
% 7.17/5.32 tff(14190,plain,
% 7.17/5.32 (v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131))))),
% 7.17/5.32 inference(unit_resolution,[status(thm)],[14189, 14179, 453])).
% 7.17/5.32 tff(14191,plain,
% 7.17/5.32 ((~v1(constB131)) <=> (~v1(constB131))),
% 7.17/5.32 inference(rewrite,[status(thm)],[])).
% 7.17/5.32 tff(14192,axiom,(~v1(constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_131')).
% 7.17/5.32 tff(14193,plain,
% 7.17/5.32 (~v1(constB131)),
% 7.17/5.32 inference(modus_ponens,[status(thm)],[14192, 14191])).
% 7.17/5.32 tff(14194,plain,
% 7.17/5.32 (((~v1(constB131)) | (~v102(constB131))) | v1(constB131)),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14195,plain,
% 7.17/5.33 ((~v1(constB131)) | (~v102(constB131))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14194, 14193])).
% 7.17/5.33 tff(14196,plain,
% 7.17/5.33 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131)) | (~((~v1(constB131)) | (~v102(constB131))))),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14197,plain,
% 7.17/5.33 ((~(v101(constB131) <=> (~((~v1(constB131)) | (~v102(constB131)))))) | (~v101(constB131))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14196, 14195])).
% 7.17/5.33 tff(14198,plain,
% 7.17/5.33 (~v101(constB131)),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14197, 14190])).
% 7.17/5.33 tff(14199,plain,
% 7.17/5.33 (((~v101(constB131)) | (~v110(constB131))) | v101(constB131)),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14200,plain,
% 7.17/5.33 ((~v101(constB131)) | (~v110(constB131))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14199, 14198])).
% 7.17/5.33 tff(14201,plain,
% 7.17/5.33 ((~(v100(constB131) <=> (~((~v101(constB131)) | (~v110(constB131)))))) | (~v100(constB131)) | (~((~v101(constB131)) | (~v110(constB131))))),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14202,plain,
% 7.17/5.33 (~v100(constB131)),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14201, 14200, 14183])).
% 7.17/5.33 tff(14203,plain,
% 7.17/5.33 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14204,plain,
% 7.17/5.33 ((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)))))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14205,plain,
% 7.17/5.33 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.17/5.33 inference(monotonicity,[status(thm)],[14204])).
% 7.17/5.33 tff(14206,plain,
% 7.17/5.33 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.33 inference(transitivity,[status(thm)],[14205, 14203])).
% 7.17/5.33 tff(14207,plain,
% 7.17/5.33 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.33 inference(quant_inst,[status(thm)],[])).
% 7.17/5.33 tff(14208,plain,
% 7.17/5.33 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.17/5.33 inference(modus_ponens,[status(thm)],[14207, 14206])).
% 7.17/5.33 tff(14209,plain,
% 7.17/5.33 (v100(constB131) | (~(((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14208, 14179, 482])).
% 7.17/5.33 tff(14210,plain,
% 7.17/5.33 (~(((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14209, 14202])).
% 7.17/5.33 tff(14211,plain,
% 7.17/5.33 ((((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))) | (~((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)))),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14212,plain,
% 7.17/5.33 (~((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14211, 14210])).
% 7.17/5.33 tff(14213,plain,
% 7.17/5.33 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14214,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_129')).
% 7.17/5.33 tff(14215,plain,
% 7.17/5.33 (nextState(constB129, constB130)),
% 7.17/5.33 inference(modus_ponens,[status(thm)],[14214, 14213])).
% 7.17/5.33 tff(14216,plain,
% 7.17/5.33 (((~![VarNext: $i, 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)))))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14217,plain,
% 7.17/5.33 ((~![VarNext: $i, 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)))))),
% 7.17/5.33 inference(quant_inst,[status(thm)],[])).
% 7.17/5.33 tff(14218,plain,
% 7.17/5.33 ((~![VarNext: $i, 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))))),
% 7.17/5.33 inference(modus_ponens,[status(thm)],[14217, 14216])).
% 7.17/5.33 tff(14219,plain,
% 7.17/5.33 (~(((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0)))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14218, 14215, 505])).
% 7.17/5.33 tff(14220,plain,
% 7.17/5.33 ((((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0))) | (~((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)))),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14221,plain,
% 7.17/5.33 (~((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14220, 14219])).
% 7.17/5.33 tff(14222,plain,
% 7.17/5.33 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB129) <=> v26(constB129))),
% 7.17/5.33 inference(quant_inst,[status(thm)],[])).
% 7.17/5.33 tff(14223,plain,
% 7.17/5.33 (v111(constB129) <=> v26(constB129)),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14222, 524])).
% 7.17/5.33 tff(14224,plain,
% 7.17/5.33 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 7.17/5.33 inference(quant_inst,[status(thm)],[])).
% 7.17/5.33 tff(14225,plain,
% 7.17/5.33 (~v26(constB129)),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14224, 536])).
% 7.17/5.33 tff(14226,plain,
% 7.17/5.33 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129)) | v26(constB129)),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14227,plain,
% 7.17/5.33 ((~(v111(constB129) <=> v26(constB129))) | (~v111(constB129))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14226, 14225])).
% 7.17/5.33 tff(14228,plain,
% 7.17/5.33 (~v111(constB129)),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14227, 14223])).
% 7.17/5.33 tff(14229,plain,
% 7.17/5.33 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB129) | (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB129) | (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)))))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14230,plain,
% 7.17/5.33 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB129) | (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)))))),
% 7.17/5.33 inference(quant_inst,[status(thm)],[])).
% 7.17/5.33 tff(14231,plain,
% 7.17/5.33 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB129) | (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1))))),
% 7.17/5.33 inference(modus_ponens,[status(thm)],[14230, 14229])).
% 7.17/5.33 tff(14232,plain,
% 7.17/5.33 (v111(constB129) | (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1))))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14231, 554])).
% 7.17/5.33 tff(14233,plain,
% 7.17/5.33 (~(((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14232, 14228])).
% 7.17/5.33 tff(14234,plain,
% 7.17/5.33 ((((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1))) | (~((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)))),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14235,plain,
% 7.17/5.33 (~((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14234, 14233])).
% 7.17/5.33 tff(14236,plain,
% 7.17/5.33 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2))))))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14237,plain,
% 7.17/5.33 ((v123(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2))))) <=> (v123(constB129) <=> (~(v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2)))))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14238,plain,
% 7.17/5.33 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2))))))),
% 7.17/5.33 inference(monotonicity,[status(thm)],[14237])).
% 7.17/5.33 tff(14239,plain,
% 7.17/5.33 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2))))))),
% 7.17/5.33 inference(transitivity,[status(thm)],[14238, 14236])).
% 7.17/5.33 tff(14240,plain,
% 7.17/5.33 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex0) | v90(constB129, bitIndex1) | (~v90(constB129, bitIndex2)))))),
% 7.17/5.33 inference(quant_inst,[status(thm)],[])).
% 7.17/5.33 tff(14241,plain,
% 7.17/5.33 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB129) <=> (~(v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2)))))),
% 7.17/5.33 inference(modus_ponens,[status(thm)],[14240, 14239])).
% 7.17/5.33 tff(14242,plain,
% 7.17/5.33 (v123(constB129) <=> (~(v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2))))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14241, 880])).
% 7.17/5.33 tff(14243,plain,
% 7.17/5.33 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14244,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_128')).
% 7.17/5.33 tff(14245,plain,
% 7.17/5.33 (nextState(constB128, constB129)),
% 7.17/5.33 inference(modus_ponens,[status(thm)],[14244, 14243])).
% 7.17/5.33 tff(14246,plain,
% 7.17/5.33 (((~![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))))))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14247,plain,
% 7.17/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))))),
% 7.17/5.33 inference(quant_inst,[status(thm)],[])).
% 7.17/5.33 tff(14248,plain,
% 7.17/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB128, constB129)) | (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))),
% 7.17/5.33 inference(modus_ponens,[status(thm)],[14247, 14246])).
% 7.17/5.33 tff(14249,plain,
% 7.17/5.33 (v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129))))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14248, 14245, 433])).
% 7.17/5.33 tff(14250,plain,
% 7.17/5.33 (((~![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))))))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14251,plain,
% 7.17/5.33 (((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129)))))) <=> ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14252,plain,
% 7.17/5.33 (((~![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)))))))),
% 7.17/5.33 inference(monotonicity,[status(thm)],[14251])).
% 7.17/5.33 tff(14253,plain,
% 7.17/5.33 (((~![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))))))),
% 7.17/5.33 inference(transitivity,[status(thm)],[14252, 14250])).
% 7.17/5.33 tff(14254,plain,
% 7.17/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v102(constB129)) | (~v1(constB129))))))),
% 7.17/5.33 inference(quant_inst,[status(thm)],[])).
% 7.17/5.33 tff(14255,plain,
% 7.17/5.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))),
% 7.17/5.33 inference(modus_ponens,[status(thm)],[14254, 14253])).
% 7.17/5.33 tff(14256,plain,
% 7.17/5.33 (v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129))))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14255, 14245, 453])).
% 7.17/5.33 tff(14257,plain,
% 7.17/5.33 ((~v1(constB129)) <=> (~v1(constB129))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14258,axiom,(~v1(constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_129')).
% 7.17/5.33 tff(14259,plain,
% 7.17/5.33 (~v1(constB129)),
% 7.17/5.33 inference(modus_ponens,[status(thm)],[14258, 14257])).
% 7.17/5.33 tff(14260,plain,
% 7.17/5.33 (((~v1(constB129)) | (~v102(constB129))) | v1(constB129)),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14261,plain,
% 7.17/5.33 ((~v1(constB129)) | (~v102(constB129))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14260, 14259])).
% 7.17/5.33 tff(14262,plain,
% 7.17/5.33 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129)) | (~((~v1(constB129)) | (~v102(constB129))))),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14263,plain,
% 7.17/5.33 ((~(v101(constB129) <=> (~((~v1(constB129)) | (~v102(constB129)))))) | (~v101(constB129))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14262, 14261])).
% 7.17/5.33 tff(14264,plain,
% 7.17/5.33 (~v101(constB129)),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14263, 14256])).
% 7.17/5.33 tff(14265,plain,
% 7.17/5.33 (((~v101(constB129)) | (~v110(constB129))) | v101(constB129)),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14266,plain,
% 7.17/5.33 ((~v101(constB129)) | (~v110(constB129))),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14265, 14264])).
% 7.17/5.33 tff(14267,plain,
% 7.17/5.33 ((~(v100(constB129) <=> (~((~v101(constB129)) | (~v110(constB129)))))) | (~v100(constB129)) | (~((~v101(constB129)) | (~v110(constB129))))),
% 7.17/5.33 inference(tautology,[status(thm)],[])).
% 7.17/5.33 tff(14268,plain,
% 7.17/5.33 (~v100(constB129)),
% 7.17/5.33 inference(unit_resolution,[status(thm)],[14267, 14266, 14249])).
% 7.17/5.33 tff(14269,plain,
% 7.17/5.33 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14270,plain,
% 7.17/5.33 ((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)))))),
% 7.17/5.33 inference(rewrite,[status(thm)],[])).
% 7.17/5.33 tff(14271,plain,
% 7.17/5.33 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.17/5.33 inference(monotonicity,[status(thm)],[14270])).
% 7.17/5.33 tff(14272,plain,
% 7.17/5.33 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.33 inference(transitivity,[status(thm)],[14271, 14269])).
% 7.17/5.33 tff(14273,plain,
% 7.17/5.33 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.17/5.33 inference(quant_inst,[status(thm)],[])).
% 7.17/5.33 tff(14274,plain,
% 7.17/5.33 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.17/5.33 inference(modus_ponens,[status(thm)],[14273, 14272])).
% 7.17/5.33 tff(14275,plain,
% 7.17/5.33 (v100(constB129) | (~(((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14274, 14245, 482])).
% 7.22/5.34 tff(14276,plain,
% 7.22/5.34 (~(((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14275, 14268])).
% 7.22/5.34 tff(14277,plain,
% 7.22/5.34 ((((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))) | (~((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)))),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14278,plain,
% 7.22/5.34 (~((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14277, 14276])).
% 7.22/5.34 tff(14279,plain,
% 7.22/5.34 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14280,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_127')).
% 7.22/5.34 tff(14281,plain,
% 7.22/5.34 (nextState(constB127, constB128)),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14280, 14279])).
% 7.22/5.34 tff(14282,plain,
% 7.22/5.34 (((~![VarNext: $i, 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)))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14283,plain,
% 7.22/5.34 ((~![VarNext: $i, 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)))))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14284,plain,
% 7.22/5.34 ((~![VarNext: $i, 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))))),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14283, 14282])).
% 7.22/5.34 tff(14285,plain,
% 7.22/5.34 (~(((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0)))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14284, 14281, 505])).
% 7.22/5.34 tff(14286,plain,
% 7.22/5.34 ((((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0))) | (~((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)))),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14287,plain,
% 7.22/5.34 (~((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14286, 14285])).
% 7.22/5.34 tff(14288,plain,
% 7.22/5.34 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB127) <=> v26(constB127))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14289,plain,
% 7.22/5.34 (v111(constB127) <=> v26(constB127)),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14288, 524])).
% 7.22/5.34 tff(14290,plain,
% 7.22/5.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14291,plain,
% 7.22/5.34 (~v26(constB127)),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14290, 536])).
% 7.22/5.34 tff(14292,plain,
% 7.22/5.34 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127)) | v26(constB127)),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14293,plain,
% 7.22/5.34 ((~(v111(constB127) <=> v26(constB127))) | (~v111(constB127))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14292, 14291])).
% 7.22/5.34 tff(14294,plain,
% 7.22/5.34 (~v111(constB127)),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14293, 14289])).
% 7.22/5.34 tff(14295,plain,
% 7.22/5.34 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB127) | (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB127) | (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14296,plain,
% 7.22/5.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB127) | (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)))))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14297,plain,
% 7.22/5.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB127) | (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1))))),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14296, 14295])).
% 7.22/5.34 tff(14298,plain,
% 7.22/5.34 (v111(constB127) | (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1))))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14297, 554])).
% 7.22/5.34 tff(14299,plain,
% 7.22/5.34 (~(((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14298, 14294])).
% 7.22/5.34 tff(14300,plain,
% 7.22/5.34 ((((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1))) | (~((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)))),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14301,plain,
% 7.22/5.34 (~((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14300, 14299])).
% 7.22/5.34 tff(14302,plain,
% 7.22/5.34 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14303,plain,
% 7.22/5.34 ((v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1))))) <=> (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14304,plain,
% 7.22/5.34 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))))))),
% 7.22/5.34 inference(monotonicity,[status(thm)],[14303])).
% 7.22/5.34 tff(14305,plain,
% 7.22/5.34 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))))))),
% 7.22/5.34 inference(transitivity,[status(thm)],[14304, 14302])).
% 7.22/5.34 tff(14306,plain,
% 7.22/5.34 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex0)) | (~v90(constB127, bitIndex1)))))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14307,plain,
% 7.22/5.34 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))))),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14306, 14305])).
% 7.22/5.34 tff(14308,plain,
% 7.22/5.34 (v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14307, 959])).
% 7.22/5.34 tff(14309,plain,
% 7.22/5.34 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14310,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_126')).
% 7.22/5.34 tff(14311,plain,
% 7.22/5.34 (nextState(constB126, constB127)),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14310, 14309])).
% 7.22/5.34 tff(14312,plain,
% 7.22/5.34 (((~![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))))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14313,plain,
% 7.22/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14314,plain,
% 7.22/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB126, constB127)) | (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14313, 14312])).
% 7.22/5.34 tff(14315,plain,
% 7.22/5.34 (v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127))))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14314, 14311, 433])).
% 7.22/5.34 tff(14316,plain,
% 7.22/5.34 (((~![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))))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14317,plain,
% 7.22/5.34 (((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127)))))) <=> ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14318,plain,
% 7.22/5.34 (((~![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)))))))),
% 7.22/5.34 inference(monotonicity,[status(thm)],[14317])).
% 7.22/5.34 tff(14319,plain,
% 7.22/5.34 (((~![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))))))),
% 7.22/5.34 inference(transitivity,[status(thm)],[14318, 14316])).
% 7.22/5.34 tff(14320,plain,
% 7.22/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v102(constB127)) | (~v1(constB127))))))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14321,plain,
% 7.22/5.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14320, 14319])).
% 7.22/5.34 tff(14322,plain,
% 7.22/5.34 (v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127))))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14321, 14311, 453])).
% 7.22/5.34 tff(14323,plain,
% 7.22/5.34 ((~v1(constB127)) <=> (~v1(constB127))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14324,axiom,(~v1(constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_127')).
% 7.22/5.34 tff(14325,plain,
% 7.22/5.34 (~v1(constB127)),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14324, 14323])).
% 7.22/5.34 tff(14326,plain,
% 7.22/5.34 (((~v1(constB127)) | (~v102(constB127))) | v1(constB127)),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14327,plain,
% 7.22/5.34 ((~v1(constB127)) | (~v102(constB127))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14326, 14325])).
% 7.22/5.34 tff(14328,plain,
% 7.22/5.34 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127)) | (~((~v1(constB127)) | (~v102(constB127))))),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14329,plain,
% 7.22/5.34 ((~(v101(constB127) <=> (~((~v1(constB127)) | (~v102(constB127)))))) | (~v101(constB127))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14328, 14327])).
% 7.22/5.34 tff(14330,plain,
% 7.22/5.34 (~v101(constB127)),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14329, 14322])).
% 7.22/5.34 tff(14331,plain,
% 7.22/5.34 (((~v101(constB127)) | (~v110(constB127))) | v101(constB127)),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14332,plain,
% 7.22/5.34 ((~v101(constB127)) | (~v110(constB127))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14331, 14330])).
% 7.22/5.34 tff(14333,plain,
% 7.22/5.34 ((~(v100(constB127) <=> (~((~v101(constB127)) | (~v110(constB127)))))) | (~v100(constB127)) | (~((~v101(constB127)) | (~v110(constB127))))),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14334,plain,
% 7.22/5.34 (~v100(constB127)),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14333, 14332, 14315])).
% 7.22/5.34 tff(14335,plain,
% 7.22/5.34 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14336,plain,
% 7.22/5.34 ((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)))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14337,plain,
% 7.22/5.34 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.22/5.34 inference(monotonicity,[status(thm)],[14336])).
% 7.22/5.34 tff(14338,plain,
% 7.22/5.34 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.22/5.34 inference(transitivity,[status(thm)],[14337, 14335])).
% 7.22/5.34 tff(14339,plain,
% 7.22/5.34 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14340,plain,
% 7.22/5.34 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14339, 14338])).
% 7.22/5.34 tff(14341,plain,
% 7.22/5.34 (v100(constB127) | (~(((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14340, 14311, 482])).
% 7.22/5.34 tff(14342,plain,
% 7.22/5.34 (~(((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14341, 14334])).
% 7.22/5.34 tff(14343,plain,
% 7.22/5.34 ((((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))) | (~((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)))),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14344,plain,
% 7.22/5.34 (~((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14343, 14342])).
% 7.22/5.34 tff(14345,plain,
% 7.22/5.34 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14346,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_125')).
% 7.22/5.34 tff(14347,plain,
% 7.22/5.34 (nextState(constB125, constB126)),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 7.22/5.34 tff(14348,plain,
% 7.22/5.34 (((~![VarNext: $i, 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)))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14349,plain,
% 7.22/5.34 ((~![VarNext: $i, 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)))))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14350,plain,
% 7.22/5.34 ((~![VarNext: $i, 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))))),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14349, 14348])).
% 7.22/5.34 tff(14351,plain,
% 7.22/5.34 (~(((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0)))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14350, 14347, 505])).
% 7.22/5.34 tff(14352,plain,
% 7.22/5.34 ((((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0))) | (~((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)))),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14353,plain,
% 7.22/5.34 (~((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14352, 14351])).
% 7.22/5.34 tff(14354,plain,
% 7.22/5.34 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB125) <=> v26(constB125))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14355,plain,
% 7.22/5.34 (v111(constB125) <=> v26(constB125)),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14354, 524])).
% 7.22/5.34 tff(14356,plain,
% 7.22/5.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14357,plain,
% 7.22/5.34 (~v26(constB125)),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14356, 536])).
% 7.22/5.34 tff(14358,plain,
% 7.22/5.34 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125)) | v26(constB125)),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14359,plain,
% 7.22/5.34 ((~(v111(constB125) <=> v26(constB125))) | (~v111(constB125))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14358, 14357])).
% 7.22/5.34 tff(14360,plain,
% 7.22/5.34 (~v111(constB125)),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14359, 14355])).
% 7.22/5.34 tff(14361,plain,
% 7.22/5.34 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB125) | (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB125) | (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14362,plain,
% 7.22/5.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB125) | (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)))))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.34 tff(14363,plain,
% 7.22/5.34 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB125) | (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1))))),
% 7.22/5.34 inference(modus_ponens,[status(thm)],[14362, 14361])).
% 7.22/5.34 tff(14364,plain,
% 7.22/5.34 (v111(constB125) | (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1))))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14363, 554])).
% 7.22/5.34 tff(14365,plain,
% 7.22/5.34 (~(((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14364, 14360])).
% 7.22/5.34 tff(14366,plain,
% 7.22/5.34 ((((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1))) | (~((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)))),
% 7.22/5.34 inference(tautology,[status(thm)],[])).
% 7.22/5.34 tff(14367,plain,
% 7.22/5.34 (~((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2))),
% 7.22/5.34 inference(unit_resolution,[status(thm)],[14366, 14365])).
% 7.22/5.34 tff(14368,plain,
% 7.22/5.34 (((~![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))))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14369,plain,
% 7.22/5.34 ((v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1))))) <=> (v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)))))),
% 7.22/5.34 inference(rewrite,[status(thm)],[])).
% 7.22/5.34 tff(14370,plain,
% 7.22/5.34 (((~![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))))))),
% 7.22/5.34 inference(monotonicity,[status(thm)],[14369])).
% 7.22/5.34 tff(14371,plain,
% 7.22/5.34 (((~![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))))))),
% 7.22/5.34 inference(transitivity,[status(thm)],[14370, 14368])).
% 7.22/5.34 tff(14372,plain,
% 7.22/5.34 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex0) | v90(constB125, bitIndex2) | (~v90(constB125, bitIndex1)))))),
% 7.22/5.34 inference(quant_inst,[status(thm)],[])).
% 7.22/5.35 tff(14373,plain,
% 7.22/5.35 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)))))),
% 7.22/5.35 inference(modus_ponens,[status(thm)],[14372, 14371])).
% 7.22/5.35 tff(14374,plain,
% 7.22/5.35 (v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1))))),
% 7.22/5.35 inference(unit_resolution,[status(thm)],[14373, 574])).
% 7.22/5.35 tff(14375,plain,
% 7.22/5.35 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 7.22/5.35 inference(rewrite,[status(thm)],[])).
% 7.22/5.35 tff(14376,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_124')).
% 7.22/5.35 tff(14377,plain,
% 7.22/5.35 (nextState(constB124, constB125)),
% 7.22/5.35 inference(modus_ponens,[status(thm)],[14376, 14375])).
% 7.22/5.35 tff(14378,plain,
% 7.22/5.35 (((~![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))))))),
% 7.22/5.35 inference(rewrite,[status(thm)],[])).
% 7.22/5.35 tff(14379,plain,
% 7.22/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))))),
% 7.22/5.35 inference(quant_inst,[status(thm)],[])).
% 7.22/5.35 tff(14380,plain,
% 7.22/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB124, constB125)) | (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))),
% 7.22/5.35 inference(modus_ponens,[status(thm)],[14379, 14378])).
% 7.22/5.35 tff(14381,plain,
% 7.22/5.35 (v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125))))),
% 7.22/5.35 inference(unit_resolution,[status(thm)],[14380, 14377, 433])).
% 7.22/5.35 tff(14382,plain,
% 7.22/5.35 (((~![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))))))),
% 7.22/5.35 inference(rewrite,[status(thm)],[])).
% 7.22/5.35 tff(14383,plain,
% 7.22/5.35 (((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125)))))) <=> ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))))),
% 7.22/5.35 inference(rewrite,[status(thm)],[])).
% 7.22/5.35 tff(14384,plain,
% 7.22/5.35 (((~![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)))))))),
% 7.22/5.35 inference(monotonicity,[status(thm)],[14383])).
% 7.22/5.35 tff(14385,plain,
% 7.22/5.35 (((~![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))))))),
% 7.22/5.35 inference(transitivity,[status(thm)],[14384, 14382])).
% 7.22/5.35 tff(14386,plain,
% 7.22/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v102(constB125)) | (~v1(constB125))))))),
% 7.22/5.35 inference(quant_inst,[status(thm)],[])).
% 7.22/5.35 tff(14387,plain,
% 7.22/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))),
% 7.22/5.35 inference(modus_ponens,[status(thm)],[14386, 14385])).
% 7.22/5.35 tff(14388,plain,
% 7.22/5.35 (v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125))))),
% 7.22/5.35 inference(unit_resolution,[status(thm)],[14387, 14377, 453])).
% 7.22/5.35 tff(14389,plain,
% 7.22/5.35 ((~v1(constB125)) <=> (~v1(constB125))),
% 7.22/5.35 inference(rewrite,[status(thm)],[])).
% 7.22/5.35 tff(14390,axiom,(~v1(constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_125')).
% 7.22/5.35 tff(14391,plain,
% 7.22/5.35 (~v1(constB125)),
% 7.22/5.35 inference(modus_ponens,[status(thm)],[14390, 14389])).
% 7.22/5.35 tff(14392,plain,
% 7.22/5.35 (((~v1(constB125)) | (~v102(constB125))) | v1(constB125)),
% 7.22/5.35 inference(tautology,[status(thm)],[])).
% 7.22/5.35 tff(14393,plain,
% 7.22/5.35 ((~v1(constB125)) | (~v102(constB125))),
% 7.22/5.35 inference(unit_resolution,[status(thm)],[14392, 14391])).
% 7.22/5.35 tff(14394,plain,
% 7.22/5.35 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125)) | (~((~v1(constB125)) | (~v102(constB125))))),
% 7.22/5.35 inference(tautology,[status(thm)],[])).
% 7.22/5.35 tff(14395,plain,
% 7.22/5.35 ((~(v101(constB125) <=> (~((~v1(constB125)) | (~v102(constB125)))))) | (~v101(constB125))),
% 7.22/5.35 inference(unit_resolution,[status(thm)],[14394, 14393])).
% 7.22/5.35 tff(14396,plain,
% 7.22/5.35 (~v101(constB125)),
% 7.22/5.35 inference(unit_resolution,[status(thm)],[14395, 14388])).
% 7.22/5.35 tff(14397,plain,
% 7.22/5.35 (((~v101(constB125)) | (~v110(constB125))) | v101(constB125)),
% 7.22/5.35 inference(tautology,[status(thm)],[])).
% 7.22/5.35 tff(14398,plain,
% 7.22/5.35 ((~v101(constB125)) | (~v110(constB125))),
% 7.22/5.35 inference(unit_resolution,[status(thm)],[14397, 14396])).
% 7.22/5.35 tff(14399,plain,
% 7.22/5.35 ((~(v100(constB125) <=> (~((~v101(constB125)) | (~v110(constB125)))))) | (~v100(constB125)) | (~((~v101(constB125)) | (~v110(constB125))))),
% 7.22/5.35 inference(tautology,[status(thm)],[])).
% 7.22/5.35 tff(14400,plain,
% 7.22/5.35 (~v100(constB125)),
% 7.22/5.35 inference(unit_resolution,[status(thm)],[14399, 14398, 14381])).
% 7.22/5.35 tff(14401,plain,
% 7.22/5.35 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.22/5.35 inference(rewrite,[status(thm)],[])).
% 7.22/5.35 tff(14402,plain,
% 7.22/5.35 ((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)))))),
% 7.22/5.35 inference(rewrite,[status(thm)],[])).
% 7.22/5.35 tff(14403,plain,
% 7.22/5.35 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.22/5.35 inference(monotonicity,[status(thm)],[14402])).
% 7.22/5.35 tff(14404,plain,
% 7.22/5.35 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.22/5.35 inference(transitivity,[status(thm)],[14403, 14401])).
% 7.22/5.35 tff(14405,plain,
% 7.22/5.35 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.22/5.35 inference(quant_inst,[status(thm)],[])).
% 7.22/5.35 tff(14406,plain,
% 7.22/5.35 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.22/5.35 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 7.22/5.35 tff(14407,plain,
% 7.22/5.35 (v100(constB125) | (~(((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))))),
% 7.22/5.35 inference(unit_resolution,[status(thm)],[14406, 14377, 482])).
% 7.22/5.35 tff(14408,plain,
% 7.22/5.35 (~(((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)))),
% 7.22/5.35 inference(unit_resolution,[status(thm)],[14407, 14400])).
% 7.22/5.35 tff(14409,plain,
% 7.22/5.35 ((((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))) | (~((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)))),
% 7.24/5.35 inference(tautology,[status(thm)],[])).
% 7.24/5.35 tff(14410,plain,
% 7.24/5.35 (~((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14409, 14408])).
% 7.24/5.35 tff(14411,plain,
% 7.24/5.35 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 7.24/5.35 inference(rewrite,[status(thm)],[])).
% 7.24/5.35 tff(14412,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_123')).
% 7.24/5.35 tff(14413,plain,
% 7.24/5.35 (nextState(constB123, constB124)),
% 7.24/5.35 inference(modus_ponens,[status(thm)],[14412, 14411])).
% 7.24/5.35 tff(14414,plain,
% 7.24/5.35 (((~![VarNext: $i, 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)))))),
% 7.24/5.35 inference(rewrite,[status(thm)],[])).
% 7.24/5.35 tff(14415,plain,
% 7.24/5.35 ((~![VarNext: $i, 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)))))),
% 7.24/5.35 inference(quant_inst,[status(thm)],[])).
% 7.24/5.35 tff(14416,plain,
% 7.24/5.35 ((~![VarNext: $i, 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))))),
% 7.24/5.35 inference(modus_ponens,[status(thm)],[14415, 14414])).
% 7.24/5.35 tff(14417,plain,
% 7.24/5.35 (~(((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0)))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14416, 14413, 505])).
% 7.24/5.35 tff(14418,plain,
% 7.24/5.35 ((((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0))) | (~((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)))),
% 7.24/5.35 inference(tautology,[status(thm)],[])).
% 7.24/5.35 tff(14419,plain,
% 7.24/5.35 (~((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14418, 14417])).
% 7.24/5.35 tff(14420,plain,
% 7.24/5.35 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB123) <=> v26(constB123))),
% 7.24/5.35 inference(quant_inst,[status(thm)],[])).
% 7.24/5.35 tff(14421,plain,
% 7.24/5.35 (v111(constB123) <=> v26(constB123)),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14420, 524])).
% 7.24/5.35 tff(14422,plain,
% 7.24/5.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 7.24/5.35 inference(quant_inst,[status(thm)],[])).
% 7.24/5.35 tff(14423,plain,
% 7.24/5.35 (~v26(constB123)),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14422, 536])).
% 7.24/5.35 tff(14424,plain,
% 7.24/5.35 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123)) | v26(constB123)),
% 7.24/5.35 inference(tautology,[status(thm)],[])).
% 7.24/5.35 tff(14425,plain,
% 7.24/5.35 ((~(v111(constB123) <=> v26(constB123))) | (~v111(constB123))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14424, 14423])).
% 7.24/5.35 tff(14426,plain,
% 7.24/5.35 (~v111(constB123)),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14425, 14421])).
% 7.24/5.35 tff(14427,plain,
% 7.24/5.35 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB123) | (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB123) | (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)))))),
% 7.24/5.35 inference(rewrite,[status(thm)],[])).
% 7.24/5.35 tff(14428,plain,
% 7.24/5.35 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB123) | (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)))))),
% 7.24/5.35 inference(quant_inst,[status(thm)],[])).
% 7.24/5.35 tff(14429,plain,
% 7.24/5.35 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB123) | (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1))))),
% 7.24/5.35 inference(modus_ponens,[status(thm)],[14428, 14427])).
% 7.24/5.35 tff(14430,plain,
% 7.24/5.35 (v111(constB123) | (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1))))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14429, 554])).
% 7.24/5.35 tff(14431,plain,
% 7.24/5.35 (~(((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14430, 14426])).
% 7.24/5.35 tff(14432,plain,
% 7.24/5.35 ((((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1))) | (~((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)))),
% 7.24/5.35 inference(tautology,[status(thm)],[])).
% 7.24/5.35 tff(14433,plain,
% 7.24/5.35 (~((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14432, 14431])).
% 7.24/5.35 tff(14434,plain,
% 7.24/5.35 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0)))))),
% 7.24/5.35 inference(quant_inst,[status(thm)],[])).
% 7.24/5.35 tff(14435,plain,
% 7.24/5.35 (v120(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0))))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14434, 653])).
% 7.24/5.35 tff(14436,plain,
% 7.24/5.35 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 7.24/5.35 inference(rewrite,[status(thm)],[])).
% 7.24/5.35 tff(14437,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_122')).
% 7.24/5.35 tff(14438,plain,
% 7.24/5.35 (nextState(constB122, constB123)),
% 7.24/5.35 inference(modus_ponens,[status(thm)],[14437, 14436])).
% 7.24/5.35 tff(14439,plain,
% 7.24/5.35 (((~![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))))))),
% 7.24/5.35 inference(rewrite,[status(thm)],[])).
% 7.24/5.35 tff(14440,plain,
% 7.24/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))))),
% 7.24/5.35 inference(quant_inst,[status(thm)],[])).
% 7.24/5.35 tff(14441,plain,
% 7.24/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB122, constB123)) | (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))),
% 7.24/5.35 inference(modus_ponens,[status(thm)],[14440, 14439])).
% 7.24/5.35 tff(14442,plain,
% 7.24/5.35 (v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123))))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14441, 14438, 433])).
% 7.24/5.35 tff(14443,plain,
% 7.24/5.35 (((~![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))))))),
% 7.24/5.35 inference(rewrite,[status(thm)],[])).
% 7.24/5.35 tff(14444,plain,
% 7.24/5.35 (((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123)))))) <=> ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))))),
% 7.24/5.35 inference(rewrite,[status(thm)],[])).
% 7.24/5.35 tff(14445,plain,
% 7.24/5.35 (((~![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)))))))),
% 7.24/5.35 inference(monotonicity,[status(thm)],[14444])).
% 7.24/5.35 tff(14446,plain,
% 7.24/5.35 (((~![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))))))),
% 7.24/5.35 inference(transitivity,[status(thm)],[14445, 14443])).
% 7.24/5.35 tff(14447,plain,
% 7.24/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v102(constB123)) | (~v1(constB123))))))),
% 7.24/5.35 inference(quant_inst,[status(thm)],[])).
% 7.24/5.35 tff(14448,plain,
% 7.24/5.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))),
% 7.24/5.35 inference(modus_ponens,[status(thm)],[14447, 14446])).
% 7.24/5.35 tff(14449,plain,
% 7.24/5.35 (v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123))))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14448, 14438, 453])).
% 7.24/5.35 tff(14450,plain,
% 7.24/5.35 ((~v1(constB123)) <=> (~v1(constB123))),
% 7.24/5.35 inference(rewrite,[status(thm)],[])).
% 7.24/5.35 tff(14451,axiom,(~v1(constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_123')).
% 7.24/5.35 tff(14452,plain,
% 7.24/5.35 (~v1(constB123)),
% 7.24/5.35 inference(modus_ponens,[status(thm)],[14451, 14450])).
% 7.24/5.35 tff(14453,plain,
% 7.24/5.35 (((~v1(constB123)) | (~v102(constB123))) | v1(constB123)),
% 7.24/5.35 inference(tautology,[status(thm)],[])).
% 7.24/5.35 tff(14454,plain,
% 7.24/5.35 ((~v1(constB123)) | (~v102(constB123))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14453, 14452])).
% 7.24/5.35 tff(14455,plain,
% 7.24/5.35 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123)) | (~((~v1(constB123)) | (~v102(constB123))))),
% 7.24/5.35 inference(tautology,[status(thm)],[])).
% 7.24/5.35 tff(14456,plain,
% 7.24/5.35 ((~(v101(constB123) <=> (~((~v1(constB123)) | (~v102(constB123)))))) | (~v101(constB123))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14455, 14454])).
% 7.24/5.35 tff(14457,plain,
% 7.24/5.35 (~v101(constB123)),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14456, 14449])).
% 7.24/5.35 tff(14458,plain,
% 7.24/5.35 (((~v101(constB123)) | (~v110(constB123))) | v101(constB123)),
% 7.24/5.35 inference(tautology,[status(thm)],[])).
% 7.24/5.35 tff(14459,plain,
% 7.24/5.35 ((~v101(constB123)) | (~v110(constB123))),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14458, 14457])).
% 7.24/5.35 tff(14460,plain,
% 7.24/5.35 ((~(v100(constB123) <=> (~((~v101(constB123)) | (~v110(constB123)))))) | (~v100(constB123)) | (~((~v101(constB123)) | (~v110(constB123))))),
% 7.24/5.35 inference(tautology,[status(thm)],[])).
% 7.24/5.35 tff(14461,plain,
% 7.24/5.35 (~v100(constB123)),
% 7.24/5.35 inference(unit_resolution,[status(thm)],[14460, 14459, 14442])).
% 7.24/5.35 tff(14462,plain,
% 7.24/5.35 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.24/5.35 inference(rewrite,[status(thm)],[])).
% 7.24/5.35 tff(14463,plain,
% 7.24/5.35 ((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)))))),
% 7.24/5.35 inference(rewrite,[status(thm)],[])).
% 7.24/5.35 tff(14464,plain,
% 7.24/5.35 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.24/5.36 inference(monotonicity,[status(thm)],[14463])).
% 7.24/5.36 tff(14465,plain,
% 7.24/5.36 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.24/5.36 inference(transitivity,[status(thm)],[14464, 14462])).
% 7.24/5.36 tff(14466,plain,
% 7.24/5.36 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14467,plain,
% 7.24/5.36 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.24/5.36 inference(modus_ponens,[status(thm)],[14466, 14465])).
% 7.24/5.36 tff(14468,plain,
% 7.24/5.36 (v100(constB123) | (~(((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14467, 14438, 482])).
% 7.24/5.36 tff(14469,plain,
% 7.24/5.36 (~(((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14468, 14461])).
% 7.24/5.36 tff(14470,plain,
% 7.24/5.36 ((((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))) | (~((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)))),
% 7.24/5.36 inference(tautology,[status(thm)],[])).
% 7.24/5.36 tff(14471,plain,
% 7.24/5.36 (~((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14470, 14469])).
% 7.24/5.36 tff(14472,plain,
% 7.24/5.36 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14473,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_121')).
% 7.24/5.36 tff(14474,plain,
% 7.24/5.36 (nextState(constB121, constB122)),
% 7.24/5.36 inference(modus_ponens,[status(thm)],[14473, 14472])).
% 7.24/5.36 tff(14475,plain,
% 7.24/5.36 (((~![VarNext: $i, 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)))))),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14476,plain,
% 7.24/5.36 ((~![VarNext: $i, 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)))))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14477,plain,
% 7.24/5.36 ((~![VarNext: $i, 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))))),
% 7.24/5.36 inference(modus_ponens,[status(thm)],[14476, 14475])).
% 7.24/5.36 tff(14478,plain,
% 7.24/5.36 (~(((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0)))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14477, 14474, 505])).
% 7.24/5.36 tff(14479,plain,
% 7.24/5.36 ((((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0))) | (~((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)))),
% 7.24/5.36 inference(tautology,[status(thm)],[])).
% 7.24/5.36 tff(14480,plain,
% 7.24/5.36 (~((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14479, 14478])).
% 7.24/5.36 tff(14481,plain,
% 7.24/5.36 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB121) <=> v26(constB121))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14482,plain,
% 7.24/5.36 (v111(constB121) <=> v26(constB121)),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14481, 524])).
% 7.24/5.36 tff(14483,plain,
% 7.24/5.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14484,plain,
% 7.24/5.36 (~v26(constB121)),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14483, 536])).
% 7.24/5.36 tff(14485,plain,
% 7.24/5.36 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121)) | v26(constB121)),
% 7.24/5.36 inference(tautology,[status(thm)],[])).
% 7.24/5.36 tff(14486,plain,
% 7.24/5.36 ((~(v111(constB121) <=> v26(constB121))) | (~v111(constB121))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14485, 14484])).
% 7.24/5.36 tff(14487,plain,
% 7.24/5.36 (~v111(constB121)),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14486, 14482])).
% 7.24/5.36 tff(14488,plain,
% 7.24/5.36 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB121) | (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB121) | (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)))))),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14489,plain,
% 7.24/5.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB121) | (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)))))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14490,plain,
% 7.24/5.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB121) | (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1))))),
% 7.24/5.36 inference(modus_ponens,[status(thm)],[14489, 14488])).
% 7.24/5.36 tff(14491,plain,
% 7.24/5.36 (v111(constB121) | (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1))))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14490, 554])).
% 7.24/5.36 tff(14492,plain,
% 7.24/5.36 (~(((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14491, 14487])).
% 7.24/5.36 tff(14493,plain,
% 7.24/5.36 ((((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1))) | (~((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)))),
% 7.24/5.36 inference(tautology,[status(thm)],[])).
% 7.24/5.36 tff(14494,plain,
% 7.24/5.36 (~((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14493, 14492])).
% 7.24/5.36 tff(14495,plain,
% 7.24/5.36 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14496,plain,
% 7.24/5.36 (v119(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14495, 727])).
% 7.24/5.36 tff(14497,plain,
% 7.24/5.36 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14498,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_120')).
% 7.24/5.36 tff(14499,plain,
% 7.24/5.36 (nextState(constB120, constB121)),
% 7.24/5.36 inference(modus_ponens,[status(thm)],[14498, 14497])).
% 7.24/5.36 tff(14500,plain,
% 7.24/5.36 (((~![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))))))),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14501,plain,
% 7.24/5.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14502,plain,
% 7.24/5.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB120, constB121)) | (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))),
% 7.24/5.36 inference(modus_ponens,[status(thm)],[14501, 14500])).
% 7.24/5.36 tff(14503,plain,
% 7.24/5.36 (v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121))))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14502, 14499, 433])).
% 7.24/5.36 tff(14504,plain,
% 7.24/5.36 (((~![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))))))),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14505,plain,
% 7.24/5.36 (((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121)))))) <=> ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))))),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14506,plain,
% 7.24/5.36 (((~![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)))))))),
% 7.24/5.36 inference(monotonicity,[status(thm)],[14505])).
% 7.24/5.36 tff(14507,plain,
% 7.24/5.36 (((~![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))))))),
% 7.24/5.36 inference(transitivity,[status(thm)],[14506, 14504])).
% 7.24/5.36 tff(14508,plain,
% 7.24/5.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v102(constB121)) | (~v1(constB121))))))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14509,plain,
% 7.24/5.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))),
% 7.24/5.36 inference(modus_ponens,[status(thm)],[14508, 14507])).
% 7.24/5.36 tff(14510,plain,
% 7.24/5.36 (v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121))))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14509, 14499, 453])).
% 7.24/5.36 tff(14511,plain,
% 7.24/5.36 ((~v1(constB121)) <=> (~v1(constB121))),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14512,axiom,(~v1(constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_121')).
% 7.24/5.36 tff(14513,plain,
% 7.24/5.36 (~v1(constB121)),
% 7.24/5.36 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 7.24/5.36 tff(14514,plain,
% 7.24/5.36 (((~v1(constB121)) | (~v102(constB121))) | v1(constB121)),
% 7.24/5.36 inference(tautology,[status(thm)],[])).
% 7.24/5.36 tff(14515,plain,
% 7.24/5.36 ((~v1(constB121)) | (~v102(constB121))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14514, 14513])).
% 7.24/5.36 tff(14516,plain,
% 7.24/5.36 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121)) | (~((~v1(constB121)) | (~v102(constB121))))),
% 7.24/5.36 inference(tautology,[status(thm)],[])).
% 7.24/5.36 tff(14517,plain,
% 7.24/5.36 ((~(v101(constB121) <=> (~((~v1(constB121)) | (~v102(constB121)))))) | (~v101(constB121))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14516, 14515])).
% 7.24/5.36 tff(14518,plain,
% 7.24/5.36 (~v101(constB121)),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14517, 14510])).
% 7.24/5.36 tff(14519,plain,
% 7.24/5.36 (((~v101(constB121)) | (~v110(constB121))) | v101(constB121)),
% 7.24/5.36 inference(tautology,[status(thm)],[])).
% 7.24/5.36 tff(14520,plain,
% 7.24/5.36 ((~v101(constB121)) | (~v110(constB121))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14519, 14518])).
% 7.24/5.36 tff(14521,plain,
% 7.24/5.36 ((~(v100(constB121) <=> (~((~v101(constB121)) | (~v110(constB121)))))) | (~v100(constB121)) | (~((~v101(constB121)) | (~v110(constB121))))),
% 7.24/5.36 inference(tautology,[status(thm)],[])).
% 7.24/5.36 tff(14522,plain,
% 7.24/5.36 (~v100(constB121)),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14521, 14520, 14503])).
% 7.24/5.36 tff(14523,plain,
% 7.24/5.36 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14524,plain,
% 7.24/5.36 ((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)))))),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14525,plain,
% 7.24/5.36 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.24/5.36 inference(monotonicity,[status(thm)],[14524])).
% 7.24/5.36 tff(14526,plain,
% 7.24/5.36 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.24/5.36 inference(transitivity,[status(thm)],[14525, 14523])).
% 7.24/5.36 tff(14527,plain,
% 7.24/5.36 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14528,plain,
% 7.24/5.36 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.24/5.36 inference(modus_ponens,[status(thm)],[14527, 14526])).
% 7.24/5.36 tff(14529,plain,
% 7.24/5.36 (v100(constB121) | (~(((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14528, 14499, 482])).
% 7.24/5.36 tff(14530,plain,
% 7.24/5.36 (~(((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14529, 14522])).
% 7.24/5.36 tff(14531,plain,
% 7.24/5.36 ((((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))) | (~((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)))),
% 7.24/5.36 inference(tautology,[status(thm)],[])).
% 7.24/5.36 tff(14532,plain,
% 7.24/5.36 (~((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14531, 14530])).
% 7.24/5.36 tff(14533,plain,
% 7.24/5.36 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14534,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_119')).
% 7.24/5.36 tff(14535,plain,
% 7.24/5.36 (nextState(constB119, constB120)),
% 7.24/5.36 inference(modus_ponens,[status(thm)],[14534, 14533])).
% 7.24/5.36 tff(14536,plain,
% 7.24/5.36 (((~![VarNext: $i, 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)))))),
% 7.24/5.36 inference(rewrite,[status(thm)],[])).
% 7.24/5.36 tff(14537,plain,
% 7.24/5.36 ((~![VarNext: $i, 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)))))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14538,plain,
% 7.24/5.36 ((~![VarNext: $i, 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))))),
% 7.24/5.36 inference(modus_ponens,[status(thm)],[14537, 14536])).
% 7.24/5.36 tff(14539,plain,
% 7.24/5.36 (~(((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0)))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14538, 14535, 505])).
% 7.24/5.36 tff(14540,plain,
% 7.24/5.36 ((((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0))) | (~((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)))),
% 7.24/5.36 inference(tautology,[status(thm)],[])).
% 7.24/5.36 tff(14541,plain,
% 7.24/5.36 (~((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14540, 14539])).
% 7.24/5.36 tff(14542,plain,
% 7.24/5.36 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB119) <=> v26(constB119))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14543,plain,
% 7.24/5.36 (v111(constB119) <=> v26(constB119)),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14542, 524])).
% 7.24/5.36 tff(14544,plain,
% 7.24/5.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 7.24/5.36 inference(quant_inst,[status(thm)],[])).
% 7.24/5.36 tff(14545,plain,
% 7.24/5.36 (~v26(constB119)),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14544, 536])).
% 7.24/5.36 tff(14546,plain,
% 7.24/5.36 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119)) | v26(constB119)),
% 7.24/5.36 inference(tautology,[status(thm)],[])).
% 7.24/5.36 tff(14547,plain,
% 7.24/5.36 ((~(v111(constB119) <=> v26(constB119))) | (~v111(constB119))),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14546, 14545])).
% 7.24/5.36 tff(14548,plain,
% 7.24/5.36 (~v111(constB119)),
% 7.24/5.36 inference(unit_resolution,[status(thm)],[14547, 14543])).
% 7.24/5.36 tff(14549,plain,
% 7.24/5.36 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB119) | (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB119) | (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14550,plain,
% 7.24/5.37 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB119) | (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)))))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14551,plain,
% 7.24/5.37 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB119) | (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1))))),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14550, 14549])).
% 7.24/5.37 tff(14552,plain,
% 7.24/5.37 (v111(constB119) | (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1))))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14551, 554])).
% 7.24/5.37 tff(14553,plain,
% 7.24/5.37 (~(((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14552, 14548])).
% 7.24/5.37 tff(14554,plain,
% 7.24/5.37 ((((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1))) | (~((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)))),
% 7.24/5.37 inference(tautology,[status(thm)],[])).
% 7.24/5.37 tff(14555,plain,
% 7.24/5.37 (~((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14554, 14553])).
% 7.24/5.37 tff(14556,plain,
% 7.24/5.37 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0))))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14557,plain,
% 7.24/5.37 ((v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex2))))) <=> (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0)))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14558,plain,
% 7.24/5.37 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0))))))),
% 7.24/5.37 inference(monotonicity,[status(thm)],[14557])).
% 7.24/5.37 tff(14559,plain,
% 7.24/5.37 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0))))))),
% 7.24/5.37 inference(transitivity,[status(thm)],[14558, 14556])).
% 7.24/5.37 tff(14560,plain,
% 7.24/5.37 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex0)) | (~v90(constB119, bitIndex2)))))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14561,plain,
% 7.24/5.37 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0)))))),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14560, 14559])).
% 7.24/5.37 tff(14562,plain,
% 7.24/5.37 (v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0))))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14561, 801])).
% 7.24/5.37 tff(14563,plain,
% 7.24/5.37 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14564,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_118')).
% 7.24/5.37 tff(14565,plain,
% 7.24/5.37 (nextState(constB118, constB119)),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14564, 14563])).
% 7.24/5.37 tff(14566,plain,
% 7.24/5.37 (((~![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))))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14567,plain,
% 7.24/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14568,plain,
% 7.24/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB118, constB119)) | (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14567, 14566])).
% 7.24/5.37 tff(14569,plain,
% 7.24/5.37 (v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119))))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14568, 14565, 433])).
% 7.24/5.37 tff(14570,plain,
% 7.24/5.37 (((~![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))))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14571,plain,
% 7.24/5.37 (((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119)))))) <=> ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14572,plain,
% 7.24/5.37 (((~![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)))))))),
% 7.24/5.37 inference(monotonicity,[status(thm)],[14571])).
% 7.24/5.37 tff(14573,plain,
% 7.24/5.37 (((~![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))))))),
% 7.24/5.37 inference(transitivity,[status(thm)],[14572, 14570])).
% 7.24/5.37 tff(14574,plain,
% 7.24/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v102(constB119)) | (~v1(constB119))))))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14575,plain,
% 7.24/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14574, 14573])).
% 7.24/5.37 tff(14576,plain,
% 7.24/5.37 (v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119))))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14575, 14565, 453])).
% 7.24/5.37 tff(14577,plain,
% 7.24/5.37 ((~v1(constB119)) <=> (~v1(constB119))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14578,axiom,(~v1(constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_119')).
% 7.24/5.37 tff(14579,plain,
% 7.24/5.37 (~v1(constB119)),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14578, 14577])).
% 7.24/5.37 tff(14580,plain,
% 7.24/5.37 (((~v1(constB119)) | (~v102(constB119))) | v1(constB119)),
% 7.24/5.37 inference(tautology,[status(thm)],[])).
% 7.24/5.37 tff(14581,plain,
% 7.24/5.37 ((~v1(constB119)) | (~v102(constB119))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14580, 14579])).
% 7.24/5.37 tff(14582,plain,
% 7.24/5.37 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119)) | (~((~v1(constB119)) | (~v102(constB119))))),
% 7.24/5.37 inference(tautology,[status(thm)],[])).
% 7.24/5.37 tff(14583,plain,
% 7.24/5.37 ((~(v101(constB119) <=> (~((~v1(constB119)) | (~v102(constB119)))))) | (~v101(constB119))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14582, 14581])).
% 7.24/5.37 tff(14584,plain,
% 7.24/5.37 (~v101(constB119)),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14583, 14576])).
% 7.24/5.37 tff(14585,plain,
% 7.24/5.37 (((~v101(constB119)) | (~v110(constB119))) | v101(constB119)),
% 7.24/5.37 inference(tautology,[status(thm)],[])).
% 7.24/5.37 tff(14586,plain,
% 7.24/5.37 ((~v101(constB119)) | (~v110(constB119))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14585, 14584])).
% 7.24/5.37 tff(14587,plain,
% 7.24/5.37 ((~(v100(constB119) <=> (~((~v101(constB119)) | (~v110(constB119)))))) | (~v100(constB119)) | (~((~v101(constB119)) | (~v110(constB119))))),
% 7.24/5.37 inference(tautology,[status(thm)],[])).
% 7.24/5.37 tff(14588,plain,
% 7.24/5.37 (~v100(constB119)),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14587, 14586, 14569])).
% 7.24/5.37 tff(14589,plain,
% 7.24/5.37 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14590,plain,
% 7.24/5.37 ((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)))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14591,plain,
% 7.24/5.37 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 7.24/5.37 inference(monotonicity,[status(thm)],[14590])).
% 7.24/5.37 tff(14592,plain,
% 7.24/5.37 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.24/5.37 inference(transitivity,[status(thm)],[14591, 14589])).
% 7.24/5.37 tff(14593,plain,
% 7.24/5.37 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14594,plain,
% 7.24/5.37 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14593, 14592])).
% 7.24/5.37 tff(14595,plain,
% 7.24/5.37 (v100(constB119) | (~(((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14594, 14565, 482])).
% 7.24/5.37 tff(14596,plain,
% 7.24/5.37 (~(((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14595, 14588])).
% 7.24/5.37 tff(14597,plain,
% 7.24/5.37 ((((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))) | (~((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)))),
% 7.24/5.37 inference(tautology,[status(thm)],[])).
% 7.24/5.37 tff(14598,plain,
% 7.24/5.37 (~((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14597, 14596])).
% 7.24/5.37 tff(14599,plain,
% 7.24/5.37 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14600,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_117')).
% 7.24/5.37 tff(14601,plain,
% 7.24/5.37 (nextState(constB117, constB118)),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14600, 14599])).
% 7.24/5.37 tff(14602,plain,
% 7.24/5.37 (((~![VarNext: $i, 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)))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14603,plain,
% 7.24/5.37 ((~![VarNext: $i, 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)))))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14604,plain,
% 7.24/5.37 ((~![VarNext: $i, 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))))),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14603, 14602])).
% 7.24/5.37 tff(14605,plain,
% 7.24/5.37 (~(((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0)))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14604, 14601, 505])).
% 7.24/5.37 tff(14606,plain,
% 7.24/5.37 ((((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0))) | (~((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)))),
% 7.24/5.37 inference(tautology,[status(thm)],[])).
% 7.24/5.37 tff(14607,plain,
% 7.24/5.37 (~((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14606, 14605])).
% 7.24/5.37 tff(14608,plain,
% 7.24/5.37 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB117) <=> v26(constB117))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14609,plain,
% 7.24/5.37 (v111(constB117) <=> v26(constB117)),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14608, 524])).
% 7.24/5.37 tff(14610,plain,
% 7.24/5.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14611,plain,
% 7.24/5.37 (~v26(constB117)),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14610, 536])).
% 7.24/5.37 tff(14612,plain,
% 7.24/5.37 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117)) | v26(constB117)),
% 7.24/5.37 inference(tautology,[status(thm)],[])).
% 7.24/5.37 tff(14613,plain,
% 7.24/5.37 ((~(v111(constB117) <=> v26(constB117))) | (~v111(constB117))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14612, 14611])).
% 7.24/5.37 tff(14614,plain,
% 7.24/5.37 (~v111(constB117)),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14613, 14609])).
% 7.24/5.37 tff(14615,plain,
% 7.24/5.37 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB117) | (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB117) | (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14616,plain,
% 7.24/5.37 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB117) | (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)))))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14617,plain,
% 7.24/5.37 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB117) | (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1))))),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14616, 14615])).
% 7.24/5.37 tff(14618,plain,
% 7.24/5.37 (v111(constB117) | (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1))))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14617, 554])).
% 7.24/5.37 tff(14619,plain,
% 7.24/5.37 (~(((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14618, 14614])).
% 7.24/5.37 tff(14620,plain,
% 7.24/5.37 ((((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1))) | (~((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)))),
% 7.24/5.37 inference(tautology,[status(thm)],[])).
% 7.24/5.37 tff(14621,plain,
% 7.24/5.37 (~((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14620, 14619])).
% 7.24/5.37 tff(14622,plain,
% 7.24/5.37 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2))))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14623,plain,
% 7.24/5.37 ((v123(constB117) <=> (~(v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2))))) <=> (v123(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2)))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14624,plain,
% 7.24/5.37 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2))))))),
% 7.24/5.37 inference(monotonicity,[status(thm)],[14623])).
% 7.24/5.37 tff(14625,plain,
% 7.24/5.37 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2))))))),
% 7.24/5.37 inference(transitivity,[status(thm)],[14624, 14622])).
% 7.24/5.37 tff(14626,plain,
% 7.24/5.37 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)))))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14627,plain,
% 7.24/5.37 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2)))))),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14626, 14625])).
% 7.24/5.37 tff(14628,plain,
% 7.24/5.37 (v123(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2))))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14627, 880])).
% 7.24/5.37 tff(14629,plain,
% 7.24/5.37 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14630,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_116')).
% 7.24/5.37 tff(14631,plain,
% 7.24/5.37 (nextState(constB116, constB117)),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14630, 14629])).
% 7.24/5.37 tff(14632,plain,
% 7.24/5.37 (((~![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))))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14633,plain,
% 7.24/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14634,plain,
% 7.24/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB116, constB117)) | (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14633, 14632])).
% 7.24/5.37 tff(14635,plain,
% 7.24/5.37 (v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117))))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14634, 14631, 433])).
% 7.24/5.37 tff(14636,plain,
% 7.24/5.37 (((~![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))))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14637,plain,
% 7.24/5.37 (((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117)))))) <=> ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14638,plain,
% 7.24/5.37 (((~![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)))))))),
% 7.24/5.37 inference(monotonicity,[status(thm)],[14637])).
% 7.24/5.37 tff(14639,plain,
% 7.24/5.37 (((~![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))))))),
% 7.24/5.37 inference(transitivity,[status(thm)],[14638, 14636])).
% 7.24/5.37 tff(14640,plain,
% 7.24/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v102(constB117)) | (~v1(constB117))))))),
% 7.24/5.37 inference(quant_inst,[status(thm)],[])).
% 7.24/5.37 tff(14641,plain,
% 7.24/5.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14640, 14639])).
% 7.24/5.37 tff(14642,plain,
% 7.24/5.37 (v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117))))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14641, 14631, 453])).
% 7.24/5.37 tff(14643,plain,
% 7.24/5.37 ((~v1(constB117)) <=> (~v1(constB117))),
% 7.24/5.37 inference(rewrite,[status(thm)],[])).
% 7.24/5.37 tff(14644,axiom,(~v1(constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_117')).
% 7.24/5.37 tff(14645,plain,
% 7.24/5.37 (~v1(constB117)),
% 7.24/5.37 inference(modus_ponens,[status(thm)],[14644, 14643])).
% 7.24/5.37 tff(14646,plain,
% 7.24/5.37 (((~v1(constB117)) | (~v102(constB117))) | v1(constB117)),
% 7.24/5.37 inference(tautology,[status(thm)],[])).
% 7.24/5.37 tff(14647,plain,
% 7.24/5.37 ((~v1(constB117)) | (~v102(constB117))),
% 7.24/5.37 inference(unit_resolution,[status(thm)],[14646, 14645])).
% 7.24/5.37 tff(14648,plain,
% 7.24/5.37 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117)) | (~((~v1(constB117)) | (~v102(constB117))))),
% 7.24/5.37 inference(tautology,[status(thm)],[])).
% 7.24/5.37 tff(14649,plain,
% 7.24/5.37 ((~(v101(constB117) <=> (~((~v1(constB117)) | (~v102(constB117)))))) | (~v101(constB117))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14648, 14647])).
% 7.24/5.38 tff(14650,plain,
% 7.24/5.38 (~v101(constB117)),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14649, 14642])).
% 7.24/5.38 tff(14651,plain,
% 7.24/5.38 (((~v101(constB117)) | (~v110(constB117))) | v101(constB117)),
% 7.24/5.38 inference(tautology,[status(thm)],[])).
% 7.24/5.38 tff(14652,plain,
% 7.24/5.38 ((~v101(constB117)) | (~v110(constB117))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14651, 14650])).
% 7.24/5.38 tff(14653,plain,
% 7.24/5.38 ((~(v100(constB117) <=> (~((~v101(constB117)) | (~v110(constB117)))))) | (~v100(constB117)) | (~((~v101(constB117)) | (~v110(constB117))))),
% 7.24/5.38 inference(tautology,[status(thm)],[])).
% 7.24/5.38 tff(14654,plain,
% 7.24/5.38 (~v100(constB117)),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14653, 14652, 14635])).
% 7.24/5.38 tff(14655,plain,
% 7.24/5.38 (((~![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(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)))))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14656,plain,
% 7.24/5.38 ((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)))))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14657,plain,
% 7.24/5.38 (((~![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(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))))))),
% 7.24/5.38 inference(monotonicity,[status(thm)],[14656])).
% 7.24/5.38 tff(14658,plain,
% 7.24/5.38 (((~![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(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)))))),
% 7.24/5.38 inference(transitivity,[status(thm)],[14657, 14655])).
% 7.24/5.38 tff(14659,plain,
% 7.24/5.38 ((~![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(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))))),
% 7.24/5.38 inference(quant_inst,[status(thm)],[])).
% 7.24/5.38 tff(14660,plain,
% 7.24/5.38 ((~![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(constB117) | (~nextState(constB116, constB117)) | (~(((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))))),
% 7.24/5.38 inference(modus_ponens,[status(thm)],[14659, 14658])).
% 7.24/5.38 tff(14661,plain,
% 7.24/5.38 (v100(constB117) | (~(((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14660, 14631, 482])).
% 7.24/5.38 tff(14662,plain,
% 7.24/5.38 (~(((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14661, 14654])).
% 7.24/5.38 tff(14663,plain,
% 7.24/5.38 ((((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))) | (~((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)))),
% 7.24/5.38 inference(tautology,[status(thm)],[])).
% 7.24/5.38 tff(14664,plain,
% 7.24/5.38 (~((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14663, 14662])).
% 7.24/5.38 tff(14665,plain,
% 7.24/5.38 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14666,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_115')).
% 7.24/5.38 tff(14667,plain,
% 7.24/5.38 (nextState(constB115, constB116)),
% 7.24/5.38 inference(modus_ponens,[status(thm)],[14666, 14665])).
% 7.24/5.38 tff(14668,plain,
% 7.24/5.38 (((~![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(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)))))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14669,plain,
% 7.24/5.38 ((~![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(constB115, constB116)) | (~(((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0)))))),
% 7.24/5.38 inference(quant_inst,[status(thm)],[])).
% 7.24/5.38 tff(14670,plain,
% 7.24/5.38 ((~![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(constB115, constB116)) | (~(((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0))))),
% 7.24/5.38 inference(modus_ponens,[status(thm)],[14669, 14668])).
% 7.24/5.38 tff(14671,plain,
% 7.24/5.38 (~(((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0)))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14670, 14667, 505])).
% 7.24/5.38 tff(14672,plain,
% 7.24/5.38 ((((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0))) | (~((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)))),
% 7.24/5.38 inference(tautology,[status(thm)],[])).
% 7.24/5.38 tff(14673,plain,
% 7.24/5.38 (~((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14672, 14671])).
% 7.24/5.38 tff(14674,plain,
% 7.24/5.38 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB115) <=> v26(constB115))),
% 7.24/5.38 inference(quant_inst,[status(thm)],[])).
% 7.24/5.38 tff(14675,plain,
% 7.24/5.38 (v111(constB115) <=> v26(constB115)),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14674, 524])).
% 7.24/5.38 tff(14676,plain,
% 7.24/5.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 7.24/5.38 inference(quant_inst,[status(thm)],[])).
% 7.24/5.38 tff(14677,plain,
% 7.24/5.38 (~v26(constB115)),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14676, 536])).
% 7.24/5.38 tff(14678,plain,
% 7.24/5.38 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115)) | v26(constB115)),
% 7.24/5.38 inference(tautology,[status(thm)],[])).
% 7.24/5.38 tff(14679,plain,
% 7.24/5.38 ((~(v111(constB115) <=> v26(constB115))) | (~v111(constB115))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14678, 14677])).
% 7.24/5.38 tff(14680,plain,
% 7.24/5.38 (~v111(constB115)),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14679, 14675])).
% 7.24/5.38 tff(14681,plain,
% 7.24/5.38 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB115) | (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB115) | (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)))))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14682,plain,
% 7.24/5.38 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB115) | (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)))))),
% 7.24/5.38 inference(quant_inst,[status(thm)],[])).
% 7.24/5.38 tff(14683,plain,
% 7.24/5.38 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB115) | (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1))))),
% 7.24/5.38 inference(modus_ponens,[status(thm)],[14682, 14681])).
% 7.24/5.38 tff(14684,plain,
% 7.24/5.38 (v111(constB115) | (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1))))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14683, 554])).
% 7.24/5.38 tff(14685,plain,
% 7.24/5.38 (~(((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14684, 14680])).
% 7.24/5.38 tff(14686,plain,
% 7.24/5.38 ((((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1))) | (~((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)))),
% 7.24/5.38 inference(tautology,[status(thm)],[])).
% 7.24/5.38 tff(14687,plain,
% 7.24/5.38 (~((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14686, 14685])).
% 7.24/5.38 tff(14688,plain,
% 7.24/5.38 (((~![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))))))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14689,plain,
% 7.24/5.38 ((v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1))))) <=> (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14690,plain,
% 7.24/5.38 (((~![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))))))),
% 7.24/5.38 inference(monotonicity,[status(thm)],[14689])).
% 7.24/5.38 tff(14691,plain,
% 7.24/5.38 (((~![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))))))),
% 7.24/5.38 inference(transitivity,[status(thm)],[14690, 14688])).
% 7.24/5.38 tff(14692,plain,
% 7.24/5.38 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex0)) | (~v90(constB115, bitIndex1)))))),
% 7.24/5.38 inference(quant_inst,[status(thm)],[])).
% 7.24/5.38 tff(14693,plain,
% 7.24/5.38 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))),
% 7.24/5.38 inference(modus_ponens,[status(thm)],[14692, 14691])).
% 7.24/5.38 tff(14694,plain,
% 7.24/5.38 (v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14693, 959])).
% 7.24/5.38 tff(14695,plain,
% 7.24/5.38 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14696,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_114')).
% 7.24/5.38 tff(14697,plain,
% 7.24/5.38 (nextState(constB114, constB115)),
% 7.24/5.38 inference(modus_ponens,[status(thm)],[14696, 14695])).
% 7.24/5.38 tff(14698,plain,
% 7.24/5.38 (((~![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))))))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14699,plain,
% 7.24/5.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))))),
% 7.24/5.38 inference(quant_inst,[status(thm)],[])).
% 7.24/5.38 tff(14700,plain,
% 7.24/5.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB114, constB115)) | (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))),
% 7.24/5.38 inference(modus_ponens,[status(thm)],[14699, 14698])).
% 7.24/5.38 tff(14701,plain,
% 7.24/5.38 (v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115))))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14700, 14697, 433])).
% 7.24/5.38 tff(14702,plain,
% 7.24/5.38 (((~![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))))))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14703,plain,
% 7.24/5.38 (((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115)))))) <=> ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14704,plain,
% 7.24/5.38 (((~![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)))))))),
% 7.24/5.38 inference(monotonicity,[status(thm)],[14703])).
% 7.24/5.38 tff(14705,plain,
% 7.24/5.38 (((~![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))))))),
% 7.24/5.38 inference(transitivity,[status(thm)],[14704, 14702])).
% 7.24/5.38 tff(14706,plain,
% 7.24/5.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v102(constB115)) | (~v1(constB115))))))),
% 7.24/5.38 inference(quant_inst,[status(thm)],[])).
% 7.24/5.38 tff(14707,plain,
% 7.24/5.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))),
% 7.24/5.38 inference(modus_ponens,[status(thm)],[14706, 14705])).
% 7.24/5.38 tff(14708,plain,
% 7.24/5.38 (v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115))))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14707, 14697, 453])).
% 7.24/5.38 tff(14709,plain,
% 7.24/5.38 ((~v1(constB115)) <=> (~v1(constB115))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14710,axiom,(~v1(constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_115')).
% 7.24/5.38 tff(14711,plain,
% 7.24/5.38 (~v1(constB115)),
% 7.24/5.38 inference(modus_ponens,[status(thm)],[14710, 14709])).
% 7.24/5.38 tff(14712,plain,
% 7.24/5.38 (((~v1(constB115)) | (~v102(constB115))) | v1(constB115)),
% 7.24/5.38 inference(tautology,[status(thm)],[])).
% 7.24/5.38 tff(14713,plain,
% 7.24/5.38 ((~v1(constB115)) | (~v102(constB115))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14712, 14711])).
% 7.24/5.38 tff(14714,plain,
% 7.24/5.38 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115)) | (~((~v1(constB115)) | (~v102(constB115))))),
% 7.24/5.38 inference(tautology,[status(thm)],[])).
% 7.24/5.38 tff(14715,plain,
% 7.24/5.38 ((~(v101(constB115) <=> (~((~v1(constB115)) | (~v102(constB115)))))) | (~v101(constB115))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14714, 14713])).
% 7.24/5.38 tff(14716,plain,
% 7.24/5.38 (~v101(constB115)),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14715, 14708])).
% 7.24/5.38 tff(14717,plain,
% 7.24/5.38 (((~v101(constB115)) | (~v110(constB115))) | v101(constB115)),
% 7.24/5.38 inference(tautology,[status(thm)],[])).
% 7.24/5.38 tff(14718,plain,
% 7.24/5.38 ((~v101(constB115)) | (~v110(constB115))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14717, 14716])).
% 7.24/5.38 tff(14719,plain,
% 7.24/5.38 ((~(v100(constB115) <=> (~((~v101(constB115)) | (~v110(constB115)))))) | (~v100(constB115)) | (~((~v101(constB115)) | (~v110(constB115))))),
% 7.24/5.38 inference(tautology,[status(thm)],[])).
% 7.24/5.38 tff(14720,plain,
% 7.24/5.38 (~v100(constB115)),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14719, 14718, 14701])).
% 7.24/5.38 tff(14721,plain,
% 7.24/5.38 (((~![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)))))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14722,plain,
% 7.24/5.38 ((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)))))),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14723,plain,
% 7.24/5.38 (((~![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))))))),
% 7.24/5.38 inference(monotonicity,[status(thm)],[14722])).
% 7.24/5.38 tff(14724,plain,
% 7.24/5.38 (((~![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)))))),
% 7.24/5.38 inference(transitivity,[status(thm)],[14723, 14721])).
% 7.24/5.38 tff(14725,plain,
% 7.24/5.38 ((~![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)))))),
% 7.24/5.38 inference(quant_inst,[status(thm)],[])).
% 7.24/5.38 tff(14726,plain,
% 7.24/5.38 ((~![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))))),
% 7.24/5.38 inference(modus_ponens,[status(thm)],[14725, 14724])).
% 7.24/5.38 tff(14727,plain,
% 7.24/5.38 (v100(constB115) | (~(((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14726, 14697, 482])).
% 7.24/5.38 tff(14728,plain,
% 7.24/5.38 (~(((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14727, 14720])).
% 7.24/5.38 tff(14729,plain,
% 7.24/5.38 ((((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))) | (~((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)))),
% 7.24/5.38 inference(tautology,[status(thm)],[])).
% 7.24/5.38 tff(14730,plain,
% 7.24/5.38 (~((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2))),
% 7.24/5.38 inference(unit_resolution,[status(thm)],[14729, 14728])).
% 7.24/5.38 tff(14731,plain,
% 7.24/5.38 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 7.24/5.38 inference(rewrite,[status(thm)],[])).
% 7.24/5.38 tff(14732,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_113')).
% 7.24/5.38 tff(14733,plain,
% 7.24/5.38 (nextState(constB113, constB114)),
% 7.24/5.38 inference(modus_ponens,[status(thm)],[14732, 14731])).
% 7.24/5.38 tff(14734,plain,
% 7.24/5.38 (((~![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)))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14735,plain,
% 7.24/5.39 ((~![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(constB113, constB114)) | (~(((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0)))))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14736,plain,
% 7.24/5.39 ((~![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(constB113, constB114)) | (~(((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0))))),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14735, 14734])).
% 7.24/5.39 tff(14737,plain,
% 7.24/5.39 (~(((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0)))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14736, 14733, 505])).
% 7.24/5.39 tff(14738,plain,
% 7.24/5.39 ((((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0))) | (~((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)))),
% 7.24/5.39 inference(tautology,[status(thm)],[])).
% 7.24/5.39 tff(14739,plain,
% 7.24/5.39 (~((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14738, 14737])).
% 7.24/5.39 tff(14740,plain,
% 7.24/5.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB113) <=> v26(constB113))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14741,plain,
% 7.24/5.39 (v111(constB113) <=> v26(constB113)),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14740, 524])).
% 7.24/5.39 tff(14742,plain,
% 7.24/5.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14743,plain,
% 7.24/5.39 (~v26(constB113)),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14742, 536])).
% 7.24/5.39 tff(14744,plain,
% 7.24/5.39 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113)) | v26(constB113)),
% 7.24/5.39 inference(tautology,[status(thm)],[])).
% 7.24/5.39 tff(14745,plain,
% 7.24/5.39 ((~(v111(constB113) <=> v26(constB113))) | (~v111(constB113))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14744, 14743])).
% 7.24/5.39 tff(14746,plain,
% 7.24/5.39 (~v111(constB113)),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14745, 14741])).
% 7.24/5.39 tff(14747,plain,
% 7.24/5.39 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB113) | (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB113) | (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14748,plain,
% 7.24/5.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB113) | (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)))))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14749,plain,
% 7.24/5.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB113) | (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1))))),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14748, 14747])).
% 7.24/5.39 tff(14750,plain,
% 7.24/5.39 (v111(constB113) | (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1))))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14749, 554])).
% 7.24/5.39 tff(14751,plain,
% 7.24/5.39 (~(((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14750, 14746])).
% 7.24/5.39 tff(14752,plain,
% 7.24/5.39 ((((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1))) | (~((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)))),
% 7.24/5.39 inference(tautology,[status(thm)],[])).
% 7.24/5.39 tff(14753,plain,
% 7.24/5.39 (~((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14752, 14751])).
% 7.24/5.39 tff(14754,plain,
% 7.24/5.39 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1))))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14755,plain,
% 7.24/5.39 ((v121(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1))))) <=> (v121(constB113) <=> (~(v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14756,plain,
% 7.24/5.39 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1))))))),
% 7.24/5.39 inference(monotonicity,[status(thm)],[14755])).
% 7.24/5.39 tff(14757,plain,
% 7.24/5.39 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1))))))),
% 7.24/5.39 inference(transitivity,[status(thm)],[14756, 14754])).
% 7.24/5.39 tff(14758,plain,
% 7.24/5.39 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex0) | v90(constB113, bitIndex2) | (~v90(constB113, bitIndex1)))))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14759,plain,
% 7.24/5.39 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB113) <=> (~(v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)))))),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14758, 14757])).
% 7.24/5.39 tff(14760,plain,
% 7.24/5.39 (v121(constB113) <=> (~(v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1))))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14759, 574])).
% 7.24/5.39 tff(14761,plain,
% 7.24/5.39 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14762,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_112')).
% 7.24/5.39 tff(14763,plain,
% 7.24/5.39 (nextState(constB112, constB113)),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14762, 14761])).
% 7.24/5.39 tff(14764,plain,
% 7.24/5.39 (((~![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))))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14765,plain,
% 7.24/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14766,plain,
% 7.24/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB112, constB113)) | (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14765, 14764])).
% 7.24/5.39 tff(14767,plain,
% 7.24/5.39 (v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113))))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14766, 14763, 433])).
% 7.24/5.39 tff(14768,plain,
% 7.24/5.39 (((~![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))))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14769,plain,
% 7.24/5.39 (((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113)))))) <=> ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14770,plain,
% 7.24/5.39 (((~![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)))))))),
% 7.24/5.39 inference(monotonicity,[status(thm)],[14769])).
% 7.24/5.39 tff(14771,plain,
% 7.24/5.39 (((~![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))))))),
% 7.24/5.39 inference(transitivity,[status(thm)],[14770, 14768])).
% 7.24/5.39 tff(14772,plain,
% 7.24/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v102(constB113)) | (~v1(constB113))))))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14773,plain,
% 7.24/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14772, 14771])).
% 7.24/5.39 tff(14774,plain,
% 7.24/5.39 (v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113))))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14773, 14763, 453])).
% 7.24/5.39 tff(14775,plain,
% 7.24/5.39 ((~v1(constB113)) <=> (~v1(constB113))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14776,axiom,(~v1(constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_113')).
% 7.24/5.39 tff(14777,plain,
% 7.24/5.39 (~v1(constB113)),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 7.24/5.39 tff(14778,plain,
% 7.24/5.39 (((~v1(constB113)) | (~v102(constB113))) | v1(constB113)),
% 7.24/5.39 inference(tautology,[status(thm)],[])).
% 7.24/5.39 tff(14779,plain,
% 7.24/5.39 ((~v1(constB113)) | (~v102(constB113))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14778, 14777])).
% 7.24/5.39 tff(14780,plain,
% 7.24/5.39 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113)) | (~((~v1(constB113)) | (~v102(constB113))))),
% 7.24/5.39 inference(tautology,[status(thm)],[])).
% 7.24/5.39 tff(14781,plain,
% 7.24/5.39 ((~(v101(constB113) <=> (~((~v1(constB113)) | (~v102(constB113)))))) | (~v101(constB113))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14780, 14779])).
% 7.24/5.39 tff(14782,plain,
% 7.24/5.39 (~v101(constB113)),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14781, 14774])).
% 7.24/5.39 tff(14783,plain,
% 7.24/5.39 (((~v101(constB113)) | (~v110(constB113))) | v101(constB113)),
% 7.24/5.39 inference(tautology,[status(thm)],[])).
% 7.24/5.39 tff(14784,plain,
% 7.24/5.39 ((~v101(constB113)) | (~v110(constB113))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14783, 14782])).
% 7.24/5.39 tff(14785,plain,
% 7.24/5.39 ((~(v100(constB113) <=> (~((~v101(constB113)) | (~v110(constB113)))))) | (~v100(constB113)) | (~((~v101(constB113)) | (~v110(constB113))))),
% 7.24/5.39 inference(tautology,[status(thm)],[])).
% 7.24/5.39 tff(14786,plain,
% 7.24/5.39 (~v100(constB113)),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14785, 14784, 14767])).
% 7.24/5.39 tff(14787,plain,
% 7.24/5.39 (((~![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)))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14788,plain,
% 7.24/5.39 ((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)))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14789,plain,
% 7.24/5.39 (((~![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))))))),
% 7.24/5.39 inference(monotonicity,[status(thm)],[14788])).
% 7.24/5.39 tff(14790,plain,
% 7.24/5.39 (((~![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)))))),
% 7.24/5.39 inference(transitivity,[status(thm)],[14789, 14787])).
% 7.24/5.39 tff(14791,plain,
% 7.24/5.39 ((~![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)))))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14792,plain,
% 7.24/5.39 ((~![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))))),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14791, 14790])).
% 7.24/5.39 tff(14793,plain,
% 7.24/5.39 (v100(constB113) | (~(((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14792, 14763, 482])).
% 7.24/5.39 tff(14794,plain,
% 7.24/5.39 (~(((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14793, 14786])).
% 7.24/5.39 tff(14795,plain,
% 7.24/5.39 ((((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))) | (~((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)))),
% 7.24/5.39 inference(tautology,[status(thm)],[])).
% 7.24/5.39 tff(14796,plain,
% 7.24/5.39 (~((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14795, 14794])).
% 7.24/5.39 tff(14797,plain,
% 7.24/5.39 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14798,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_111')).
% 7.24/5.39 tff(14799,plain,
% 7.24/5.39 (nextState(constB111, constB112)),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14798, 14797])).
% 7.24/5.39 tff(14800,plain,
% 7.24/5.39 (((~![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)))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14801,plain,
% 7.24/5.39 ((~![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)))))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14802,plain,
% 7.24/5.39 ((~![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))))),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14801, 14800])).
% 7.24/5.39 tff(14803,plain,
% 7.24/5.39 (~(((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0)))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14802, 14799, 505])).
% 7.24/5.39 tff(14804,plain,
% 7.24/5.39 ((((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0))) | (~((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)))),
% 7.24/5.39 inference(tautology,[status(thm)],[])).
% 7.24/5.39 tff(14805,plain,
% 7.24/5.39 (~((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14804, 14803])).
% 7.24/5.39 tff(14806,plain,
% 7.24/5.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB111) <=> v26(constB111))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14807,plain,
% 7.24/5.39 (v111(constB111) <=> v26(constB111)),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14806, 524])).
% 7.24/5.39 tff(14808,plain,
% 7.24/5.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14809,plain,
% 7.24/5.39 (~v26(constB111)),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14808, 536])).
% 7.24/5.39 tff(14810,plain,
% 7.24/5.39 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111)) | v26(constB111)),
% 7.24/5.39 inference(tautology,[status(thm)],[])).
% 7.24/5.39 tff(14811,plain,
% 7.24/5.39 ((~(v111(constB111) <=> v26(constB111))) | (~v111(constB111))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14810, 14809])).
% 7.24/5.39 tff(14812,plain,
% 7.24/5.39 (~v111(constB111)),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14811, 14807])).
% 7.24/5.39 tff(14813,plain,
% 7.24/5.39 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB111) | (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB111) | (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14814,plain,
% 7.24/5.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB111) | (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)))))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14815,plain,
% 7.24/5.39 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB111) | (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1))))),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14814, 14813])).
% 7.24/5.39 tff(14816,plain,
% 7.24/5.39 (v111(constB111) | (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1))))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14815, 554])).
% 7.24/5.39 tff(14817,plain,
% 7.24/5.39 (~(((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14816, 14812])).
% 7.24/5.39 tff(14818,plain,
% 7.24/5.39 ((((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1))) | (~((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)))),
% 7.24/5.39 inference(tautology,[status(thm)],[])).
% 7.24/5.39 tff(14819,plain,
% 7.24/5.39 (~((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14818, 14817])).
% 7.24/5.39 tff(14820,plain,
% 7.24/5.39 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB111) <=> (~(v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)))))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14821,plain,
% 7.24/5.39 (v120(constB111) <=> (~(v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0))))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14820, 653])).
% 7.24/5.39 tff(14822,plain,
% 7.24/5.39 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14823,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_110')).
% 7.24/5.39 tff(14824,plain,
% 7.24/5.39 (nextState(constB110, constB111)),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14823, 14822])).
% 7.24/5.39 tff(14825,plain,
% 7.24/5.39 (((~![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))))))),
% 7.24/5.39 inference(rewrite,[status(thm)],[])).
% 7.24/5.39 tff(14826,plain,
% 7.24/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))))),
% 7.24/5.39 inference(quant_inst,[status(thm)],[])).
% 7.24/5.39 tff(14827,plain,
% 7.24/5.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB110, constB111)) | (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))),
% 7.24/5.39 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 7.24/5.39 tff(14828,plain,
% 7.24/5.39 (v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111))))),
% 7.24/5.39 inference(unit_resolution,[status(thm)],[14827, 14824, 433])).
% 7.24/5.39 tff(14829,plain,
% 7.24/5.39 (((~![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))))))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14830,plain,
% 7.24/5.40 (((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111)))))) <=> ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14831,plain,
% 7.24/5.40 (((~![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)))))))),
% 7.24/5.40 inference(monotonicity,[status(thm)],[14830])).
% 7.24/5.40 tff(14832,plain,
% 7.24/5.40 (((~![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))))))),
% 7.24/5.40 inference(transitivity,[status(thm)],[14831, 14829])).
% 7.24/5.40 tff(14833,plain,
% 7.24/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v102(constB111)) | (~v1(constB111))))))),
% 7.24/5.40 inference(quant_inst,[status(thm)],[])).
% 7.24/5.40 tff(14834,plain,
% 7.24/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))),
% 7.24/5.40 inference(modus_ponens,[status(thm)],[14833, 14832])).
% 7.24/5.40 tff(14835,plain,
% 7.24/5.40 (v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111))))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14834, 14824, 453])).
% 7.24/5.40 tff(14836,plain,
% 7.24/5.40 ((~v1(constB111)) <=> (~v1(constB111))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14837,axiom,(~v1(constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_111')).
% 7.24/5.40 tff(14838,plain,
% 7.24/5.40 (~v1(constB111)),
% 7.24/5.40 inference(modus_ponens,[status(thm)],[14837, 14836])).
% 7.24/5.40 tff(14839,plain,
% 7.24/5.40 (((~v1(constB111)) | (~v102(constB111))) | v1(constB111)),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14840,plain,
% 7.24/5.40 ((~v1(constB111)) | (~v102(constB111))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14839, 14838])).
% 7.24/5.40 tff(14841,plain,
% 7.24/5.40 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111)) | (~((~v1(constB111)) | (~v102(constB111))))),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14842,plain,
% 7.24/5.40 ((~(v101(constB111) <=> (~((~v1(constB111)) | (~v102(constB111)))))) | (~v101(constB111))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14841, 14840])).
% 7.24/5.40 tff(14843,plain,
% 7.24/5.40 (~v101(constB111)),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14842, 14835])).
% 7.24/5.40 tff(14844,plain,
% 7.24/5.40 (((~v101(constB111)) | (~v110(constB111))) | v101(constB111)),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14845,plain,
% 7.24/5.40 ((~v101(constB111)) | (~v110(constB111))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14844, 14843])).
% 7.24/5.40 tff(14846,plain,
% 7.24/5.40 ((~(v100(constB111) <=> (~((~v101(constB111)) | (~v110(constB111)))))) | (~v100(constB111)) | (~((~v101(constB111)) | (~v110(constB111))))),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14847,plain,
% 7.24/5.40 (~v100(constB111)),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14846, 14845, 14828])).
% 7.24/5.40 tff(14848,plain,
% 7.24/5.40 (((~![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)))))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14849,plain,
% 7.24/5.40 ((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)))))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14850,plain,
% 7.24/5.40 (((~![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))))))),
% 7.24/5.40 inference(monotonicity,[status(thm)],[14849])).
% 7.24/5.40 tff(14851,plain,
% 7.24/5.40 (((~![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)))))),
% 7.24/5.40 inference(transitivity,[status(thm)],[14850, 14848])).
% 7.24/5.40 tff(14852,plain,
% 7.24/5.40 ((~![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)))))),
% 7.24/5.40 inference(quant_inst,[status(thm)],[])).
% 7.24/5.40 tff(14853,plain,
% 7.24/5.40 ((~![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))))),
% 7.24/5.40 inference(modus_ponens,[status(thm)],[14852, 14851])).
% 7.24/5.40 tff(14854,plain,
% 7.24/5.40 (v100(constB111) | (~(((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14853, 14824, 482])).
% 7.24/5.40 tff(14855,plain,
% 7.24/5.40 (~(((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14854, 14847])).
% 7.24/5.40 tff(14856,plain,
% 7.24/5.40 ((((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))) | (~((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)))),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14857,plain,
% 7.24/5.40 (~((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14856, 14855])).
% 7.24/5.40 tff(14858,plain,
% 7.24/5.40 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14859,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_109')).
% 7.24/5.40 tff(14860,plain,
% 7.24/5.40 (nextState(constB109, constB110)),
% 7.24/5.40 inference(modus_ponens,[status(thm)],[14859, 14858])).
% 7.24/5.40 tff(14861,plain,
% 7.24/5.40 (((~![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)))))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14862,plain,
% 7.24/5.40 ((~![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)))))),
% 7.24/5.40 inference(quant_inst,[status(thm)],[])).
% 7.24/5.40 tff(14863,plain,
% 7.24/5.40 ((~![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))))),
% 7.24/5.40 inference(modus_ponens,[status(thm)],[14862, 14861])).
% 7.24/5.40 tff(14864,plain,
% 7.24/5.40 (~(((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0)))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14863, 14860, 505])).
% 7.24/5.40 tff(14865,plain,
% 7.24/5.40 ((((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0))) | (~((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)))),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14866,plain,
% 7.24/5.40 (~((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14865, 14864])).
% 7.24/5.40 tff(14867,plain,
% 7.24/5.40 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB109) <=> v26(constB109))),
% 7.24/5.40 inference(quant_inst,[status(thm)],[])).
% 7.24/5.40 tff(14868,plain,
% 7.24/5.40 (v111(constB109) <=> v26(constB109)),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14867, 524])).
% 7.24/5.40 tff(14869,plain,
% 7.24/5.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 7.24/5.40 inference(quant_inst,[status(thm)],[])).
% 7.24/5.40 tff(14870,plain,
% 7.24/5.40 (~v26(constB109)),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14869, 536])).
% 7.24/5.40 tff(14871,plain,
% 7.24/5.40 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109)) | v26(constB109)),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14872,plain,
% 7.24/5.40 ((~(v111(constB109) <=> v26(constB109))) | (~v111(constB109))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14871, 14870])).
% 7.24/5.40 tff(14873,plain,
% 7.24/5.40 (~v111(constB109)),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14872, 14868])).
% 7.24/5.40 tff(14874,plain,
% 7.24/5.40 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB109) | (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB109) | (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)))))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14875,plain,
% 7.24/5.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB109) | (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)))))),
% 7.24/5.40 inference(quant_inst,[status(thm)],[])).
% 7.24/5.40 tff(14876,plain,
% 7.24/5.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB109) | (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1))))),
% 7.24/5.40 inference(modus_ponens,[status(thm)],[14875, 14874])).
% 7.24/5.40 tff(14877,plain,
% 7.24/5.40 (v111(constB109) | (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1))))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14876, 554])).
% 7.24/5.40 tff(14878,plain,
% 7.24/5.40 (~(((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14877, 14873])).
% 7.24/5.40 tff(14879,plain,
% 7.24/5.40 ((((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1))) | (~((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)))),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14880,plain,
% 7.24/5.40 (~((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14879, 14878])).
% 7.24/5.40 tff(14881,plain,
% 7.24/5.40 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))))),
% 7.24/5.40 inference(quant_inst,[status(thm)],[])).
% 7.24/5.40 tff(14882,plain,
% 7.24/5.40 (v119(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14881, 727])).
% 7.24/5.40 tff(14883,plain,
% 7.24/5.40 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14884,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_108')).
% 7.24/5.40 tff(14885,plain,
% 7.24/5.40 (nextState(constB108, constB109)),
% 7.24/5.40 inference(modus_ponens,[status(thm)],[14884, 14883])).
% 7.24/5.40 tff(14886,plain,
% 7.24/5.40 (((~![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))))))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14887,plain,
% 7.24/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))))),
% 7.24/5.40 inference(quant_inst,[status(thm)],[])).
% 7.24/5.40 tff(14888,plain,
% 7.24/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB108, constB109)) | (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))),
% 7.24/5.40 inference(modus_ponens,[status(thm)],[14887, 14886])).
% 7.24/5.40 tff(14889,plain,
% 7.24/5.40 (v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109))))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14888, 14885, 433])).
% 7.24/5.40 tff(14890,plain,
% 7.24/5.40 (((~![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))))))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14891,plain,
% 7.24/5.40 (((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109)))))) <=> ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14892,plain,
% 7.24/5.40 (((~![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)))))))),
% 7.24/5.40 inference(monotonicity,[status(thm)],[14891])).
% 7.24/5.40 tff(14893,plain,
% 7.24/5.40 (((~![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))))))),
% 7.24/5.40 inference(transitivity,[status(thm)],[14892, 14890])).
% 7.24/5.40 tff(14894,plain,
% 7.24/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v102(constB109)) | (~v1(constB109))))))),
% 7.24/5.40 inference(quant_inst,[status(thm)],[])).
% 7.24/5.40 tff(14895,plain,
% 7.24/5.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))),
% 7.24/5.40 inference(modus_ponens,[status(thm)],[14894, 14893])).
% 7.24/5.40 tff(14896,plain,
% 7.24/5.40 (v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109))))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14895, 14885, 453])).
% 7.24/5.40 tff(14897,plain,
% 7.24/5.40 ((~v1(constB109)) <=> (~v1(constB109))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14898,axiom,(~v1(constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_109')).
% 7.24/5.40 tff(14899,plain,
% 7.24/5.40 (~v1(constB109)),
% 7.24/5.40 inference(modus_ponens,[status(thm)],[14898, 14897])).
% 7.24/5.40 tff(14900,plain,
% 7.24/5.40 (((~v1(constB109)) | (~v102(constB109))) | v1(constB109)),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14901,plain,
% 7.24/5.40 ((~v1(constB109)) | (~v102(constB109))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14900, 14899])).
% 7.24/5.40 tff(14902,plain,
% 7.24/5.40 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109)) | (~((~v1(constB109)) | (~v102(constB109))))),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14903,plain,
% 7.24/5.40 ((~(v101(constB109) <=> (~((~v1(constB109)) | (~v102(constB109)))))) | (~v101(constB109))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14902, 14901])).
% 7.24/5.40 tff(14904,plain,
% 7.24/5.40 (~v101(constB109)),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14903, 14896])).
% 7.24/5.40 tff(14905,plain,
% 7.24/5.40 (((~v101(constB109)) | (~v110(constB109))) | v101(constB109)),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14906,plain,
% 7.24/5.40 ((~v101(constB109)) | (~v110(constB109))),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14905, 14904])).
% 7.24/5.40 tff(14907,plain,
% 7.24/5.40 ((~(v100(constB109) <=> (~((~v101(constB109)) | (~v110(constB109)))))) | (~v100(constB109)) | (~((~v101(constB109)) | (~v110(constB109))))),
% 7.24/5.40 inference(tautology,[status(thm)],[])).
% 7.24/5.40 tff(14908,plain,
% 7.24/5.40 (~v100(constB109)),
% 7.24/5.40 inference(unit_resolution,[status(thm)],[14907, 14906, 14889])).
% 7.24/5.40 tff(14909,plain,
% 7.24/5.40 (((~![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)))))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14910,plain,
% 7.24/5.40 ((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)))))),
% 7.24/5.40 inference(rewrite,[status(thm)],[])).
% 7.24/5.40 tff(14911,plain,
% 7.24/5.40 (((~![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, 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))))))),
% 7.24/5.40 inference(monotonicity,[status(thm)],[14910])).
% 7.24/5.40 tff(14912,plain,
% 7.24/5.40 (((~![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, 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)))))),
% 7.24/5.40 inference(transitivity,[status(thm)],[14911, 14909])).
% 7.24/5.40 tff(14913,plain,
% 7.24/5.40 ((~![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, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))))),
% 7.24/5.40 inference(quant_inst,[status(thm)],[])).
% 7.24/5.40 tff(14914,plain,
% 7.24/5.40 ((~![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))))),
% 7.24/5.41 inference(modus_ponens,[status(thm)],[14913, 14912])).
% 7.24/5.41 tff(14915,plain,
% 7.24/5.41 (v100(constB109) | (~(((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14914, 14885, 482])).
% 7.24/5.41 tff(14916,plain,
% 7.24/5.41 (~(((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14915, 14908])).
% 7.24/5.41 tff(14917,plain,
% 7.24/5.41 ((((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))) | (~((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)))),
% 7.24/5.41 inference(tautology,[status(thm)],[])).
% 7.24/5.41 tff(14918,plain,
% 7.24/5.41 (~((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14917, 14916])).
% 7.24/5.41 tff(14919,plain,
% 7.24/5.41 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14920,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_107')).
% 7.24/5.41 tff(14921,plain,
% 7.24/5.41 (nextState(constB107, constB108)),
% 7.24/5.41 inference(modus_ponens,[status(thm)],[14920, 14919])).
% 7.24/5.41 tff(14922,plain,
% 7.24/5.41 (((~![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)))))),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14923,plain,
% 7.24/5.41 ((~![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)))))),
% 7.24/5.41 inference(quant_inst,[status(thm)],[])).
% 7.24/5.41 tff(14924,plain,
% 7.24/5.41 ((~![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))))),
% 7.24/5.41 inference(modus_ponens,[status(thm)],[14923, 14922])).
% 7.24/5.41 tff(14925,plain,
% 7.24/5.41 (~(((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0)))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14924, 14921, 505])).
% 7.24/5.41 tff(14926,plain,
% 7.24/5.41 ((((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0))) | (~((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)))),
% 7.24/5.41 inference(tautology,[status(thm)],[])).
% 7.24/5.41 tff(14927,plain,
% 7.24/5.41 (~((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14926, 14925])).
% 7.24/5.41 tff(14928,plain,
% 7.24/5.41 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB107) <=> v26(constB107))),
% 7.24/5.41 inference(quant_inst,[status(thm)],[])).
% 7.24/5.41 tff(14929,plain,
% 7.24/5.41 (v111(constB107) <=> v26(constB107)),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14928, 524])).
% 7.24/5.41 tff(14930,plain,
% 7.24/5.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 7.24/5.41 inference(quant_inst,[status(thm)],[])).
% 7.24/5.41 tff(14931,plain,
% 7.24/5.41 (~v26(constB107)),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14930, 536])).
% 7.24/5.41 tff(14932,plain,
% 7.24/5.41 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107)) | v26(constB107)),
% 7.24/5.41 inference(tautology,[status(thm)],[])).
% 7.24/5.41 tff(14933,plain,
% 7.24/5.41 ((~(v111(constB107) <=> v26(constB107))) | (~v111(constB107))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14932, 14931])).
% 7.24/5.41 tff(14934,plain,
% 7.24/5.41 (~v111(constB107)),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14933, 14929])).
% 7.24/5.41 tff(14935,plain,
% 7.24/5.41 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB107) | (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB107) | (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)))))),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14936,plain,
% 7.24/5.41 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB107) | (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)))))),
% 7.24/5.41 inference(quant_inst,[status(thm)],[])).
% 7.24/5.41 tff(14937,plain,
% 7.24/5.41 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB107) | (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1))))),
% 7.24/5.41 inference(modus_ponens,[status(thm)],[14936, 14935])).
% 7.24/5.41 tff(14938,plain,
% 7.24/5.41 (v111(constB107) | (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1))))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14937, 554])).
% 7.24/5.41 tff(14939,plain,
% 7.24/5.41 (~(((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14938, 14934])).
% 7.24/5.41 tff(14940,plain,
% 7.24/5.41 ((((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1))) | (~((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)))),
% 7.24/5.41 inference(tautology,[status(thm)],[])).
% 7.24/5.41 tff(14941,plain,
% 7.24/5.41 (~((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14940, 14939])).
% 7.24/5.41 tff(14942,plain,
% 7.24/5.41 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0))))))),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14943,plain,
% 7.24/5.41 ((v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex2))))) <=> (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0)))))),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14944,plain,
% 7.24/5.41 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0))))))),
% 7.24/5.41 inference(monotonicity,[status(thm)],[14943])).
% 7.24/5.41 tff(14945,plain,
% 7.24/5.41 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0))))))),
% 7.24/5.41 inference(transitivity,[status(thm)],[14944, 14942])).
% 7.24/5.41 tff(14946,plain,
% 7.24/5.41 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex0)) | (~v90(constB107, bitIndex2)))))),
% 7.24/5.41 inference(quant_inst,[status(thm)],[])).
% 7.24/5.41 tff(14947,plain,
% 7.24/5.41 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0)))))),
% 7.24/5.41 inference(modus_ponens,[status(thm)],[14946, 14945])).
% 7.24/5.41 tff(14948,plain,
% 7.24/5.41 (v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0))))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14947, 801])).
% 7.24/5.41 tff(14949,plain,
% 7.24/5.41 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14950,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_106')).
% 7.24/5.41 tff(14951,plain,
% 7.24/5.41 (nextState(constB106, constB107)),
% 7.24/5.41 inference(modus_ponens,[status(thm)],[14950, 14949])).
% 7.24/5.41 tff(14952,plain,
% 7.24/5.41 (((~![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))))))),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14953,plain,
% 7.24/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))))),
% 7.24/5.41 inference(quant_inst,[status(thm)],[])).
% 7.24/5.41 tff(14954,plain,
% 7.24/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB106, constB107)) | (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))),
% 7.24/5.41 inference(modus_ponens,[status(thm)],[14953, 14952])).
% 7.24/5.41 tff(14955,plain,
% 7.24/5.41 (v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107))))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14954, 14951, 433])).
% 7.24/5.41 tff(14956,plain,
% 7.24/5.41 (((~![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))))))),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14957,plain,
% 7.24/5.41 (((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107)))))) <=> ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))))),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14958,plain,
% 7.24/5.41 (((~![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)))))))),
% 7.24/5.41 inference(monotonicity,[status(thm)],[14957])).
% 7.24/5.41 tff(14959,plain,
% 7.24/5.41 (((~![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))))))),
% 7.24/5.41 inference(transitivity,[status(thm)],[14958, 14956])).
% 7.24/5.41 tff(14960,plain,
% 7.24/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v102(constB107)) | (~v1(constB107))))))),
% 7.24/5.41 inference(quant_inst,[status(thm)],[])).
% 7.24/5.41 tff(14961,plain,
% 7.24/5.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))),
% 7.24/5.41 inference(modus_ponens,[status(thm)],[14960, 14959])).
% 7.24/5.41 tff(14962,plain,
% 7.24/5.41 (v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107))))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14961, 14951, 453])).
% 7.24/5.41 tff(14963,plain,
% 7.24/5.41 ((~v1(constB107)) <=> (~v1(constB107))),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14964,axiom,(~v1(constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_107')).
% 7.24/5.41 tff(14965,plain,
% 7.24/5.41 (~v1(constB107)),
% 7.24/5.41 inference(modus_ponens,[status(thm)],[14964, 14963])).
% 7.24/5.41 tff(14966,plain,
% 7.24/5.41 (((~v1(constB107)) | (~v102(constB107))) | v1(constB107)),
% 7.24/5.41 inference(tautology,[status(thm)],[])).
% 7.24/5.41 tff(14967,plain,
% 7.24/5.41 ((~v1(constB107)) | (~v102(constB107))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14966, 14965])).
% 7.24/5.41 tff(14968,plain,
% 7.24/5.41 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107)) | (~((~v1(constB107)) | (~v102(constB107))))),
% 7.24/5.41 inference(tautology,[status(thm)],[])).
% 7.24/5.41 tff(14969,plain,
% 7.24/5.41 ((~(v101(constB107) <=> (~((~v1(constB107)) | (~v102(constB107)))))) | (~v101(constB107))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14968, 14967])).
% 7.24/5.41 tff(14970,plain,
% 7.24/5.41 (~v101(constB107)),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14969, 14962])).
% 7.24/5.41 tff(14971,plain,
% 7.24/5.41 (((~v101(constB107)) | (~v110(constB107))) | v101(constB107)),
% 7.24/5.41 inference(tautology,[status(thm)],[])).
% 7.24/5.41 tff(14972,plain,
% 7.24/5.41 ((~v101(constB107)) | (~v110(constB107))),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14971, 14970])).
% 7.24/5.41 tff(14973,plain,
% 7.24/5.41 ((~(v100(constB107) <=> (~((~v101(constB107)) | (~v110(constB107)))))) | (~v100(constB107)) | (~((~v101(constB107)) | (~v110(constB107))))),
% 7.24/5.41 inference(tautology,[status(thm)],[])).
% 7.24/5.41 tff(14974,plain,
% 7.24/5.41 (~v100(constB107)),
% 7.24/5.41 inference(unit_resolution,[status(thm)],[14973, 14972, 14955])).
% 7.24/5.41 tff(14975,plain,
% 7.24/5.41 (((~![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)))))),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14976,plain,
% 7.24/5.41 ((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)))))),
% 7.24/5.41 inference(rewrite,[status(thm)],[])).
% 7.24/5.41 tff(14977,plain,
% 7.24/5.41 (((~![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))))))),
% 7.24/5.41 inference(monotonicity,[status(thm)],[14976])).
% 7.24/5.41 tff(14978,plain,
% 7.24/5.41 (((~![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)))))),
% 7.30/5.41 inference(transitivity,[status(thm)],[14977, 14975])).
% 7.30/5.41 tff(14979,plain,
% 7.30/5.41 ((~![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)))))),
% 7.30/5.41 inference(quant_inst,[status(thm)],[])).
% 7.30/5.41 tff(14980,plain,
% 7.30/5.41 ((~![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))))),
% 7.30/5.41 inference(modus_ponens,[status(thm)],[14979, 14978])).
% 7.30/5.41 tff(14981,plain,
% 7.30/5.41 (v100(constB107) | (~(((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))))),
% 7.30/5.41 inference(unit_resolution,[status(thm)],[14980, 14951, 482])).
% 7.30/5.41 tff(14982,plain,
% 7.30/5.41 (~(((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)))),
% 7.30/5.41 inference(unit_resolution,[status(thm)],[14981, 14974])).
% 7.30/5.41 tff(14983,plain,
% 7.30/5.41 ((((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))) | (~((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)))),
% 7.30/5.41 inference(tautology,[status(thm)],[])).
% 7.30/5.41 tff(14984,plain,
% 7.30/5.41 (~((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2))),
% 7.30/5.41 inference(unit_resolution,[status(thm)],[14983, 14982])).
% 7.30/5.41 tff(14985,plain,
% 7.30/5.41 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 7.30/5.41 inference(rewrite,[status(thm)],[])).
% 7.30/5.41 tff(14986,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_105')).
% 7.30/5.41 tff(14987,plain,
% 7.30/5.41 (nextState(constB105, constB106)),
% 7.30/5.41 inference(modus_ponens,[status(thm)],[14986, 14985])).
% 7.30/5.41 tff(14988,plain,
% 7.30/5.41 (((~![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)))))),
% 7.30/5.41 inference(rewrite,[status(thm)],[])).
% 7.30/5.41 tff(14989,plain,
% 7.30/5.41 ((~![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)))))),
% 7.30/5.41 inference(quant_inst,[status(thm)],[])).
% 7.30/5.41 tff(14990,plain,
% 7.30/5.41 ((~![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))))),
% 7.30/5.41 inference(modus_ponens,[status(thm)],[14989, 14988])).
% 7.30/5.41 tff(14991,plain,
% 7.30/5.41 (~(((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0)))),
% 7.30/5.41 inference(unit_resolution,[status(thm)],[14990, 14987, 505])).
% 7.30/5.41 tff(14992,plain,
% 7.30/5.41 ((((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0))) | (~((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)))),
% 7.30/5.41 inference(tautology,[status(thm)],[])).
% 7.30/5.41 tff(14993,plain,
% 7.30/5.41 (~((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2))),
% 7.30/5.41 inference(unit_resolution,[status(thm)],[14992, 14991])).
% 7.30/5.41 tff(14994,plain,
% 7.30/5.41 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB105) <=> v26(constB105))),
% 7.30/5.41 inference(quant_inst,[status(thm)],[])).
% 7.30/5.41 tff(14995,plain,
% 7.30/5.41 (v111(constB105) <=> v26(constB105)),
% 7.30/5.41 inference(unit_resolution,[status(thm)],[14994, 524])).
% 7.30/5.41 tff(14996,plain,
% 7.30/5.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 7.30/5.41 inference(quant_inst,[status(thm)],[])).
% 7.30/5.41 tff(14997,plain,
% 7.30/5.41 (~v26(constB105)),
% 7.30/5.41 inference(unit_resolution,[status(thm)],[14996, 536])).
% 7.30/5.41 tff(14998,plain,
% 7.30/5.41 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105)) | v26(constB105)),
% 7.30/5.41 inference(tautology,[status(thm)],[])).
% 7.30/5.41 tff(14999,plain,
% 7.30/5.41 ((~(v111(constB105) <=> v26(constB105))) | (~v111(constB105))),
% 7.30/5.41 inference(unit_resolution,[status(thm)],[14998, 14997])).
% 7.30/5.41 tff(15000,plain,
% 7.30/5.41 (~v111(constB105)),
% 7.30/5.41 inference(unit_resolution,[status(thm)],[14999, 14995])).
% 7.30/5.41 tff(15001,plain,
% 7.30/5.41 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB105) | (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB105) | (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)))))),
% 7.30/5.41 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15002,plain,
% 7.30/5.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB105) | (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)))))),
% 7.30/5.42 inference(quant_inst,[status(thm)],[])).
% 7.30/5.42 tff(15003,plain,
% 7.30/5.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB105) | (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1))))),
% 7.30/5.42 inference(modus_ponens,[status(thm)],[15002, 15001])).
% 7.30/5.42 tff(15004,plain,
% 7.30/5.42 (v111(constB105) | (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1))))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15003, 554])).
% 7.30/5.42 tff(15005,plain,
% 7.30/5.42 (~(((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15004, 15000])).
% 7.30/5.42 tff(15006,plain,
% 7.30/5.42 ((((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1))) | (~((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)))),
% 7.30/5.42 inference(tautology,[status(thm)],[])).
% 7.30/5.42 tff(15007,plain,
% 7.30/5.42 (~((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15006, 15005])).
% 7.30/5.42 tff(15008,plain,
% 7.30/5.42 (((~![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))))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15009,plain,
% 7.30/5.42 ((v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2))))) <=> (v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15010,plain,
% 7.30/5.42 (((~![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))))))),
% 7.30/5.42 inference(monotonicity,[status(thm)],[15009])).
% 7.30/5.42 tff(15011,plain,
% 7.30/5.42 (((~![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))))))),
% 7.30/5.42 inference(transitivity,[status(thm)],[15010, 15008])).
% 7.30/5.42 tff(15012,plain,
% 7.30/5.42 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex0) | v90(constB105, bitIndex1) | (~v90(constB105, bitIndex2)))))),
% 7.30/5.42 inference(quant_inst,[status(thm)],[])).
% 7.30/5.42 tff(15013,plain,
% 7.30/5.42 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)))))),
% 7.30/5.42 inference(modus_ponens,[status(thm)],[15012, 15011])).
% 7.30/5.42 tff(15014,plain,
% 7.30/5.42 (v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2))))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15013, 880])).
% 7.30/5.42 tff(15015,plain,
% 7.30/5.42 (((~![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))))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15016,plain,
% 7.30/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))))),
% 7.30/5.42 inference(quant_inst,[status(thm)],[])).
% 7.30/5.42 tff(15017,plain,
% 7.30/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB104, constB105)) | (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))),
% 7.30/5.42 inference(modus_ponens,[status(thm)],[15016, 15015])).
% 7.30/5.42 tff(15018,plain,
% 7.30/5.42 (v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105))))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15017, 73, 433])).
% 7.30/5.42 tff(15019,plain,
% 7.30/5.42 (((~![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))))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15020,plain,
% 7.30/5.42 (((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105)))))) <=> ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15021,plain,
% 7.30/5.42 (((~![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)))))))),
% 7.30/5.42 inference(monotonicity,[status(thm)],[15020])).
% 7.30/5.42 tff(15022,plain,
% 7.30/5.42 (((~![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))))))),
% 7.30/5.42 inference(transitivity,[status(thm)],[15021, 15019])).
% 7.30/5.42 tff(15023,plain,
% 7.30/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v102(constB105)) | (~v1(constB105))))))),
% 7.30/5.42 inference(quant_inst,[status(thm)],[])).
% 7.30/5.42 tff(15024,plain,
% 7.30/5.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))),
% 7.30/5.42 inference(modus_ponens,[status(thm)],[15023, 15022])).
% 7.30/5.42 tff(15025,plain,
% 7.30/5.42 (v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105))))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15024, 73, 453])).
% 7.30/5.42 tff(15026,plain,
% 7.30/5.42 ((~v1(constB105)) <=> (~v1(constB105))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15027,axiom,(~v1(constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_105')).
% 7.30/5.42 tff(15028,plain,
% 7.30/5.42 (~v1(constB105)),
% 7.30/5.42 inference(modus_ponens,[status(thm)],[15027, 15026])).
% 7.30/5.42 tff(15029,plain,
% 7.30/5.42 (((~v1(constB105)) | (~v102(constB105))) | v1(constB105)),
% 7.30/5.42 inference(tautology,[status(thm)],[])).
% 7.30/5.42 tff(15030,plain,
% 7.30/5.42 ((~v1(constB105)) | (~v102(constB105))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15029, 15028])).
% 7.30/5.42 tff(15031,plain,
% 7.30/5.42 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105)) | (~((~v1(constB105)) | (~v102(constB105))))),
% 7.30/5.42 inference(tautology,[status(thm)],[])).
% 7.30/5.42 tff(15032,plain,
% 7.30/5.42 ((~(v101(constB105) <=> (~((~v1(constB105)) | (~v102(constB105)))))) | (~v101(constB105))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15031, 15030])).
% 7.30/5.42 tff(15033,plain,
% 7.30/5.42 (~v101(constB105)),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15032, 15025])).
% 7.30/5.42 tff(15034,plain,
% 7.30/5.42 (((~v101(constB105)) | (~v110(constB105))) | v101(constB105)),
% 7.30/5.42 inference(tautology,[status(thm)],[])).
% 7.30/5.42 tff(15035,plain,
% 7.30/5.42 ((~v101(constB105)) | (~v110(constB105))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15034, 15033])).
% 7.30/5.42 tff(15036,plain,
% 7.30/5.42 ((~(v100(constB105) <=> (~((~v101(constB105)) | (~v110(constB105)))))) | (~v100(constB105)) | (~((~v101(constB105)) | (~v110(constB105))))),
% 7.30/5.42 inference(tautology,[status(thm)],[])).
% 7.30/5.42 tff(15037,plain,
% 7.30/5.42 (~v100(constB105)),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15036, 15035, 15018])).
% 7.30/5.42 tff(15038,plain,
% 7.30/5.42 (((~![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)))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15039,plain,
% 7.30/5.42 ((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)))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15040,plain,
% 7.30/5.42 (((~![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))))))),
% 7.30/5.42 inference(monotonicity,[status(thm)],[15039])).
% 7.30/5.42 tff(15041,plain,
% 7.30/5.42 (((~![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)))))),
% 7.30/5.42 inference(transitivity,[status(thm)],[15040, 15038])).
% 7.30/5.42 tff(15042,plain,
% 7.30/5.42 ((~![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)))))),
% 7.30/5.42 inference(quant_inst,[status(thm)],[])).
% 7.30/5.42 tff(15043,plain,
% 7.30/5.42 ((~![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))))),
% 7.30/5.42 inference(modus_ponens,[status(thm)],[15042, 15041])).
% 7.30/5.42 tff(15044,plain,
% 7.30/5.42 (v100(constB105) | (~(((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15043, 73, 482])).
% 7.30/5.42 tff(15045,plain,
% 7.30/5.42 (~(((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15044, 15037])).
% 7.30/5.42 tff(15046,plain,
% 7.30/5.42 ((((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))) | (~((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)))),
% 7.30/5.42 inference(tautology,[status(thm)],[])).
% 7.30/5.42 tff(15047,plain,
% 7.30/5.42 (~((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15046, 15045])).
% 7.30/5.42 tff(15048,plain,
% 7.30/5.42 (((~![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)))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15049,plain,
% 7.30/5.42 ((~![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)))))),
% 7.30/5.42 inference(quant_inst,[status(thm)],[])).
% 7.30/5.42 tff(15050,plain,
% 7.30/5.42 ((~![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))))),
% 7.30/5.42 inference(modus_ponens,[status(thm)],[15049, 15048])).
% 7.30/5.42 tff(15051,plain,
% 7.30/5.42 (~(((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0)))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15050, 173, 505])).
% 7.30/5.42 tff(15052,plain,
% 7.30/5.42 ((((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0))) | (~((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)))),
% 7.30/5.42 inference(tautology,[status(thm)],[])).
% 7.30/5.42 tff(15053,plain,
% 7.30/5.42 (~((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15052, 15051])).
% 7.30/5.42 tff(15054,plain,
% 7.30/5.42 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB103) <=> v26(constB103))),
% 7.30/5.42 inference(quant_inst,[status(thm)],[])).
% 7.30/5.42 tff(15055,plain,
% 7.30/5.42 (v111(constB103) <=> v26(constB103)),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15054, 524])).
% 7.30/5.42 tff(15056,plain,
% 7.30/5.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 7.30/5.42 inference(quant_inst,[status(thm)],[])).
% 7.30/5.42 tff(15057,plain,
% 7.30/5.42 (~v26(constB103)),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15056, 536])).
% 7.30/5.42 tff(15058,plain,
% 7.30/5.42 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103)) | v26(constB103)),
% 7.30/5.42 inference(tautology,[status(thm)],[])).
% 7.30/5.42 tff(15059,plain,
% 7.30/5.42 ((~(v111(constB103) <=> v26(constB103))) | (~v111(constB103))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15058, 15057])).
% 7.30/5.42 tff(15060,plain,
% 7.30/5.42 (~v111(constB103)),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15059, 15055])).
% 7.30/5.42 tff(15061,plain,
% 7.30/5.42 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB103) | (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB103) | (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15062,plain,
% 7.30/5.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB103) | (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)))))),
% 7.30/5.42 inference(quant_inst,[status(thm)],[])).
% 7.30/5.42 tff(15063,plain,
% 7.30/5.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB103) | (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1))))),
% 7.30/5.42 inference(modus_ponens,[status(thm)],[15062, 15061])).
% 7.30/5.42 tff(15064,plain,
% 7.30/5.42 (v111(constB103) | (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1))))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15063, 554])).
% 7.30/5.42 tff(15065,plain,
% 7.30/5.42 (~(((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15064, 15060])).
% 7.30/5.42 tff(15066,plain,
% 7.30/5.42 ((((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1))) | (~((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)))),
% 7.30/5.42 inference(tautology,[status(thm)],[])).
% 7.30/5.42 tff(15067,plain,
% 7.30/5.42 (~((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15066, 15065])).
% 7.30/5.42 tff(15068,plain,
% 7.30/5.42 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15069,plain,
% 7.30/5.42 ((v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1))))) <=> (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15070,plain,
% 7.30/5.42 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))))))),
% 7.30/5.42 inference(monotonicity,[status(thm)],[15069])).
% 7.30/5.42 tff(15071,plain,
% 7.30/5.42 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))))))),
% 7.30/5.42 inference(transitivity,[status(thm)],[15070, 15068])).
% 7.30/5.42 tff(15072,plain,
% 7.30/5.42 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex0)) | (~v90(constB103, bitIndex1)))))),
% 7.30/5.42 inference(quant_inst,[status(thm)],[])).
% 7.30/5.42 tff(15073,plain,
% 7.30/5.42 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))))),
% 7.30/5.42 inference(modus_ponens,[status(thm)],[15072, 15071])).
% 7.30/5.42 tff(15074,plain,
% 7.30/5.42 (v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15073, 959])).
% 7.30/5.42 tff(15075,plain,
% 7.30/5.42 ((~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))) | v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0))),
% 7.30/5.42 inference(tautology,[status(thm)],[])).
% 7.30/5.42 tff(15076,plain,
% 7.30/5.42 (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15075, 12099, 12077, 12055])).
% 7.30/5.42 tff(15077,plain,
% 7.30/5.42 ((~(v122(constB103) <=> (~(v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))))) | v122(constB103) | (v90(constB103, bitIndex2) | (~v90(constB103, bitIndex1)) | (~v90(constB103, bitIndex0)))),
% 7.30/5.42 inference(tautology,[status(thm)],[])).
% 7.30/5.42 tff(15078,plain,
% 7.30/5.42 (v122(constB103)),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15077, 15076, 15074])).
% 7.30/5.42 tff(15079,plain,
% 7.30/5.42 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB103)) | (~(v130(constB103, bitIndex0) | v130(constB103, bitIndex1) | (~v130(constB103, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB103)) | (~(v130(constB103, bitIndex0) | v130(constB103, bitIndex1) | (~v130(constB103, bitIndex2)))))),
% 7.30/5.42 inference(rewrite,[status(thm)],[])).
% 7.30/5.42 tff(15080,plain,
% 7.30/5.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB103)) | (~(v130(constB103, bitIndex0) | v130(constB103, bitIndex1) | (~v130(constB103, bitIndex2)))))),
% 7.30/5.42 inference(quant_inst,[status(thm)],[])).
% 7.30/5.42 tff(15081,plain,
% 7.30/5.42 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB103)) | (~(v130(constB103, bitIndex0) | v130(constB103, bitIndex1) | (~v130(constB103, bitIndex2))))),
% 7.30/5.42 inference(modus_ponens,[status(thm)],[15080, 15079])).
% 7.30/5.42 tff(15082,plain,
% 7.30/5.42 ((~v122(constB103)) | (~(v130(constB103, bitIndex0) | v130(constB103, bitIndex1) | (~v130(constB103, bitIndex2))))),
% 7.30/5.42 inference(unit_resolution,[status(thm)],[15081, 4563])).
% 7.30/5.43 tff(15083,plain,
% 7.30/5.43 (~(v130(constB103, bitIndex0) | v130(constB103, bitIndex1) | (~v130(constB103, bitIndex2)))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15082, 15078])).
% 7.30/5.43 tff(15084,plain,
% 7.30/5.43 ((v130(constB103, bitIndex0) | v130(constB103, bitIndex1) | (~v130(constB103, bitIndex2))) | v130(constB103, bitIndex2)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15085,plain,
% 7.30/5.43 (v130(constB103, bitIndex2)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15084, 15083])).
% 7.30/5.43 tff(15086,plain,
% 7.30/5.43 (((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | v127(constB103, bitIndex2) | (~v130(constB103, bitIndex2))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15087,plain,
% 7.30/5.43 (v127(constB103, bitIndex2)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15086, 15085, 15067])).
% 7.30/5.43 tff(15088,plain,
% 7.30/5.43 (((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | v129(constB104, bitIndex2) | (~v127(constB103, bitIndex2))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15089,plain,
% 7.30/5.43 (v129(constB104, bitIndex2)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15088, 15087, 15053])).
% 7.30/5.43 tff(15090,plain,
% 7.30/5.43 (((~![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))))))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15091,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15092,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB103, constB104)) | (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))),
% 7.30/5.43 inference(modus_ponens,[status(thm)],[15091, 15090])).
% 7.30/5.43 tff(15093,plain,
% 7.30/5.43 (v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104))))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15092, 173, 433])).
% 7.30/5.43 tff(15094,plain,
% 7.30/5.43 (((~![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))))))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15095,plain,
% 7.30/5.43 (((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104)))))) <=> ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15096,plain,
% 7.30/5.43 (((~![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)))))))),
% 7.30/5.43 inference(monotonicity,[status(thm)],[15095])).
% 7.30/5.43 tff(15097,plain,
% 7.30/5.43 (((~![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))))))),
% 7.30/5.43 inference(transitivity,[status(thm)],[15096, 15094])).
% 7.30/5.43 tff(15098,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v102(constB104)) | (~v1(constB104))))))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15099,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))),
% 7.30/5.43 inference(modus_ponens,[status(thm)],[15098, 15097])).
% 7.30/5.43 tff(15100,plain,
% 7.30/5.43 (v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104))))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15099, 173, 453])).
% 7.30/5.43 tff(15101,plain,
% 7.30/5.43 (((~![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)))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15102,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104)))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15103,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB103, constB104)) | ((~v102(constB104)) <=> v104(constB104))),
% 7.30/5.43 inference(modus_ponens,[status(thm)],[15102, 15101])).
% 7.30/5.43 tff(15104,plain,
% 7.30/5.43 ((~v102(constB104)) <=> v104(constB104)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15103, 173, 3966])).
% 7.30/5.43 tff(15105,plain,
% 7.30/5.43 (((~![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)))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15106,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103)))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15107,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v1(constB103))),
% 7.30/5.43 inference(modus_ponens,[status(thm)],[15106, 15105])).
% 7.30/5.43 tff(15108,plain,
% 7.30/5.43 (v104(constB104) <=> v1(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15107, 173, 3980])).
% 7.30/5.43 tff(15109,plain,
% 7.30/5.43 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104)) | v1(constB103)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15110,plain,
% 7.30/5.43 ((~(v104(constB104) <=> v1(constB103))) | (~v104(constB104))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15109, 316])).
% 7.30/5.43 tff(15111,plain,
% 7.30/5.43 (~v104(constB104)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15110, 15108])).
% 7.30/5.43 tff(15112,plain,
% 7.30/5.43 ((~((~v102(constB104)) <=> v104(constB104))) | v102(constB104) | v104(constB104)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15113,plain,
% 7.30/5.43 (v102(constB104)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15112, 15111, 15104])).
% 7.30/5.43 tff(15114,plain,
% 7.30/5.43 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v1(constB104)) | (~v102(constB104))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15115,plain,
% 7.30/5.43 ((~((~v1(constB104)) | (~v102(constB104)))) | (~v102(constB104))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15114, 134])).
% 7.30/5.43 tff(15116,plain,
% 7.30/5.43 (~((~v1(constB104)) | (~v102(constB104)))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15115, 15113])).
% 7.30/5.43 tff(15117,plain,
% 7.30/5.43 ((~(v101(constB104) <=> (~((~v1(constB104)) | (~v102(constB104)))))) | v101(constB104) | ((~v1(constB104)) | (~v102(constB104)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15118,plain,
% 7.30/5.43 (v101(constB104)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15117, 15116, 15100])).
% 7.30/5.43 tff(15119,plain,
% 7.30/5.43 (((~![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)))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15120,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103)))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15121,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB103, constB104)) | (v110(constB104) <=> v108(constB103))),
% 7.30/5.43 inference(modus_ponens,[status(thm)],[15120, 15119])).
% 7.30/5.43 tff(15122,plain,
% 7.30/5.43 (v110(constB104) <=> v108(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15121, 173, 4007])).
% 7.30/5.43 tff(15123,plain,
% 7.30/5.43 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB103) <=> (v111(constB103) | v112(constB103)))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15124,plain,
% 7.30/5.43 (v108(constB103) <=> (v111(constB103) | v112(constB103))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15123, 4018])).
% 7.30/5.43 tff(15125,plain,
% 7.30/5.43 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15126,plain,
% 7.30/5.43 (v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103))))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15125, 4030])).
% 7.30/5.43 tff(15127,plain,
% 7.30/5.43 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB103) <=> (v114(constB103) | v125(constB103)))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15128,plain,
% 7.30/5.43 (v113(constB103) <=> (v114(constB103) | v125(constB103))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15127, 4039])).
% 7.30/5.43 tff(15129,plain,
% 7.30/5.43 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB103) <=> (v115(constB103) | v124(constB103)))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15130,plain,
% 7.30/5.43 (v114(constB103) <=> (v115(constB103) | v124(constB103))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15129, 4048])).
% 7.30/5.43 tff(15131,plain,
% 7.30/5.43 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB103) <=> (v116(constB103) | v123(constB103)))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15132,plain,
% 7.30/5.43 (v115(constB103) <=> (v116(constB103) | v123(constB103))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15131, 4057])).
% 7.30/5.43 tff(15133,plain,
% 7.30/5.43 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB103) <=> (v117(constB103) | v122(constB103)))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15134,plain,
% 7.30/5.43 (v116(constB103) <=> (v117(constB103) | v122(constB103))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15133, 4066])).
% 7.30/5.43 tff(15135,plain,
% 7.30/5.43 ((v117(constB103) | v122(constB103)) | (~v122(constB103))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15136,plain,
% 7.30/5.43 (v117(constB103) | v122(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15135, 15078])).
% 7.30/5.43 tff(15137,plain,
% 7.30/5.43 ((~(v116(constB103) <=> (v117(constB103) | v122(constB103)))) | v116(constB103) | (~(v117(constB103) | v122(constB103)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15138,plain,
% 7.30/5.43 (v116(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15137, 15136, 15134])).
% 7.30/5.43 tff(15139,plain,
% 7.30/5.43 ((v116(constB103) | v123(constB103)) | (~v116(constB103))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15140,plain,
% 7.30/5.43 (v116(constB103) | v123(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15139, 15138])).
% 7.30/5.43 tff(15141,plain,
% 7.30/5.43 ((~(v115(constB103) <=> (v116(constB103) | v123(constB103)))) | v115(constB103) | (~(v116(constB103) | v123(constB103)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15142,plain,
% 7.30/5.43 (v115(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15141, 15140, 15132])).
% 7.30/5.43 tff(15143,plain,
% 7.30/5.43 ((v115(constB103) | v124(constB103)) | (~v115(constB103))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15144,plain,
% 7.30/5.43 (v115(constB103) | v124(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15143, 15142])).
% 7.30/5.43 tff(15145,plain,
% 7.30/5.43 ((~(v114(constB103) <=> (v115(constB103) | v124(constB103)))) | v114(constB103) | (~(v115(constB103) | v124(constB103)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15146,plain,
% 7.30/5.43 (v114(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15145, 15144, 15130])).
% 7.30/5.43 tff(15147,plain,
% 7.30/5.43 ((v114(constB103) | v125(constB103)) | (~v114(constB103))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15148,plain,
% 7.30/5.43 (v114(constB103) | v125(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15147, 15146])).
% 7.30/5.43 tff(15149,plain,
% 7.30/5.43 ((~(v113(constB103) <=> (v114(constB103) | v125(constB103)))) | v113(constB103) | (~(v114(constB103) | v125(constB103)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15150,plain,
% 7.30/5.43 (v113(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15149, 15148, 15128])).
% 7.30/5.43 tff(15151,plain,
% 7.30/5.43 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB103)) <=> v111(constB103))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15152,plain,
% 7.30/5.43 ((~v126(constB103)) <=> v111(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15151, 4118])).
% 7.30/5.43 tff(15153,plain,
% 7.30/5.43 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103) | v111(constB103)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15154,plain,
% 7.30/5.43 ((~((~v126(constB103)) <=> v111(constB103))) | v126(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15153, 15060])).
% 7.30/5.43 tff(15155,plain,
% 7.30/5.43 (v126(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15154, 15152])).
% 7.30/5.43 tff(15156,plain,
% 7.30/5.43 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103)) | (~v126(constB103))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15157,plain,
% 7.30/5.43 ((~((~v113(constB103)) | (~v126(constB103)))) | (~v113(constB103))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15156, 15155])).
% 7.30/5.43 tff(15158,plain,
% 7.30/5.43 (~((~v113(constB103)) | (~v126(constB103)))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15157, 15150])).
% 7.30/5.43 tff(15159,plain,
% 7.30/5.43 ((~(v112(constB103) <=> (~((~v113(constB103)) | (~v126(constB103)))))) | v112(constB103) | ((~v113(constB103)) | (~v126(constB103)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15160,plain,
% 7.30/5.43 (v112(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15159, 15158, 15126])).
% 7.30/5.43 tff(15161,plain,
% 7.30/5.43 ((v111(constB103) | v112(constB103)) | (~v112(constB103))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15162,plain,
% 7.30/5.43 (v111(constB103) | v112(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15161, 15160])).
% 7.30/5.43 tff(15163,plain,
% 7.30/5.43 ((~(v108(constB103) <=> (v111(constB103) | v112(constB103)))) | v108(constB103) | (~(v111(constB103) | v112(constB103)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15164,plain,
% 7.30/5.43 (v108(constB103)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15163, 15162, 15124])).
% 7.30/5.43 tff(15165,plain,
% 7.30/5.43 ((~(v110(constB104) <=> v108(constB103))) | v110(constB104) | (~v108(constB103))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15166,plain,
% 7.30/5.43 (v110(constB104)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15165, 15164, 15122])).
% 7.30/5.43 tff(15167,plain,
% 7.30/5.43 ((~((~v101(constB104)) | (~v110(constB104)))) | (~v101(constB104)) | (~v110(constB104))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15168,plain,
% 7.30/5.43 (~((~v101(constB104)) | (~v110(constB104)))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15167, 15166, 15118])).
% 7.30/5.43 tff(15169,plain,
% 7.30/5.43 ((~(v100(constB104) <=> (~((~v101(constB104)) | (~v110(constB104)))))) | v100(constB104) | ((~v101(constB104)) | (~v110(constB104)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15170,plain,
% 7.30/5.43 (v100(constB104)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15169, 15168, 15093])).
% 7.30/5.43 tff(15171,plain,
% 7.30/5.43 (((~![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)))))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15172,plain,
% 7.30/5.43 ((~![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)))))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15173,plain,
% 7.30/5.43 ((~![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))))),
% 7.30/5.43 inference(modus_ponens,[status(thm)],[15172, 15171])).
% 7.30/5.43 tff(15174,plain,
% 7.30/5.43 ((~v100(constB104)) | (~(((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0))))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15173, 4151])).
% 7.30/5.43 tff(15175,plain,
% 7.30/5.43 (~(((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0)))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15174, 15170])).
% 7.30/5.43 tff(15176,plain,
% 7.30/5.43 ((((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0))) | (~((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15177,plain,
% 7.30/5.43 (~((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15176, 15175])).
% 7.30/5.43 tff(15178,plain,
% 7.30/5.43 (((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15179,plain,
% 7.30/5.43 (v90(constB104, bitIndex2)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15178, 15177, 15089])).
% 7.30/5.43 tff(15180,plain,
% 7.30/5.43 (((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | v90(constB105, bitIndex2) | (~v90(constB104, bitIndex2))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15181,plain,
% 7.30/5.43 (v90(constB105, bitIndex2)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15180, 15179, 15047])).
% 7.30/5.43 tff(15182,plain,
% 7.30/5.43 ((((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))) | (~((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15183,plain,
% 7.30/5.43 (~((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15182, 15045])).
% 7.30/5.43 tff(15184,plain,
% 7.30/5.43 ((((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0))) | (~((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15185,plain,
% 7.30/5.43 (~((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15184, 15051])).
% 7.30/5.43 tff(15186,plain,
% 7.30/5.43 ((((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1))) | (~((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15187,plain,
% 7.30/5.43 (~((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15186, 15065])).
% 7.30/5.43 tff(15188,plain,
% 7.30/5.43 ((v130(constB103, bitIndex0) | v130(constB103, bitIndex1) | (~v130(constB103, bitIndex2))) | (~v130(constB103, bitIndex0))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15189,plain,
% 7.30/5.43 (~v130(constB103, bitIndex0)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15188, 15083])).
% 7.30/5.43 tff(15190,plain,
% 7.30/5.43 (((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)) | (~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15191,plain,
% 7.30/5.43 (~v127(constB103, bitIndex0)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15190, 15189, 15187])).
% 7.30/5.43 tff(15192,plain,
% 7.30/5.43 (((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0)) | (~v129(constB104, bitIndex0)) | v127(constB103, bitIndex0)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15193,plain,
% 7.30/5.43 (~v129(constB104, bitIndex0)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15192, 15191, 15185])).
% 7.30/5.43 tff(15194,plain,
% 7.30/5.43 ((((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0))) | (~((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15195,plain,
% 7.30/5.43 (~((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15194, 15175])).
% 7.30/5.43 tff(15196,plain,
% 7.30/5.43 (((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0)) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15197,plain,
% 7.30/5.43 (~v90(constB104, bitIndex0)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15196, 15195, 15193])).
% 7.30/5.43 tff(15198,plain,
% 7.30/5.43 (((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0)) | (~v90(constB105, bitIndex0)) | v90(constB104, bitIndex0)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15199,plain,
% 7.30/5.43 (~v90(constB105, bitIndex0)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15198, 15197, 15183])).
% 7.30/5.43 tff(15200,plain,
% 7.30/5.43 ((((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | ((~v90(constB105, bitIndex2)) <=> v90(constB104, bitIndex2)) | ((~v90(constB105, bitIndex0)) <=> v90(constB104, bitIndex0))) | (~((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15201,plain,
% 7.30/5.43 (~((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15200, 15045])).
% 7.30/5.43 tff(15202,plain,
% 7.30/5.43 ((((~v129(constB104, bitIndex2)) <=> v127(constB103, bitIndex2)) | ((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | ((~v129(constB104, bitIndex0)) <=> v127(constB103, bitIndex0))) | (~((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15203,plain,
% 7.30/5.43 (~((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15202, 15051])).
% 7.30/5.43 tff(15204,plain,
% 7.30/5.43 ((((~v127(constB103, bitIndex2)) <=> v130(constB103, bitIndex2)) | ((~v127(constB103, bitIndex0)) <=> v130(constB103, bitIndex0)) | ((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1))) | (~((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15205,plain,
% 7.30/5.43 (~((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15204, 15065])).
% 7.30/5.43 tff(15206,plain,
% 7.30/5.43 ((v130(constB103, bitIndex0) | v130(constB103, bitIndex1) | (~v130(constB103, bitIndex2))) | (~v130(constB103, bitIndex1))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15207,plain,
% 7.30/5.43 (~v130(constB103, bitIndex1)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15206, 15083])).
% 7.30/5.43 tff(15208,plain,
% 7.30/5.43 (((~v127(constB103, bitIndex1)) <=> v130(constB103, bitIndex1)) | (~v127(constB103, bitIndex1)) | v130(constB103, bitIndex1)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15209,plain,
% 7.30/5.43 (~v127(constB103, bitIndex1)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15208, 15207, 15205])).
% 7.30/5.43 tff(15210,plain,
% 7.30/5.43 (((~v129(constB104, bitIndex1)) <=> v127(constB103, bitIndex1)) | (~v129(constB104, bitIndex1)) | v127(constB103, bitIndex1)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15211,plain,
% 7.30/5.43 (~v129(constB104, bitIndex1)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15210, 15209, 15203])).
% 7.30/5.43 tff(15212,plain,
% 7.30/5.43 ((((~v90(constB104, bitIndex2)) <=> v129(constB104, bitIndex2)) | ((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | ((~v90(constB104, bitIndex0)) <=> v129(constB104, bitIndex0))) | (~((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15213,plain,
% 7.30/5.43 (~((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15212, 15175])).
% 7.30/5.43 tff(15214,plain,
% 7.30/5.43 (((~v90(constB104, bitIndex1)) <=> v129(constB104, bitIndex1)) | (~v90(constB104, bitIndex1)) | v129(constB104, bitIndex1)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15215,plain,
% 7.30/5.43 (~v90(constB104, bitIndex1)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15214, 15213, 15211])).
% 7.30/5.43 tff(15216,plain,
% 7.30/5.43 (((~v90(constB105, bitIndex1)) <=> v90(constB104, bitIndex1)) | (~v90(constB105, bitIndex1)) | v90(constB104, bitIndex1)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15217,plain,
% 7.30/5.43 (~v90(constB105, bitIndex1)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15216, 15215, 15201])).
% 7.30/5.43 tff(15218,plain,
% 7.30/5.43 ((~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)))) | v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15219,plain,
% 7.30/5.43 (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15218, 15217, 15199, 15181])).
% 7.30/5.43 tff(15220,plain,
% 7.30/5.43 ((~(v123(constB105) <=> (~(v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)))))) | v123(constB105) | (v90(constB105, bitIndex1) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex2)))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15221,plain,
% 7.30/5.43 (v123(constB105)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15220, 15219, 15014])).
% 7.30/5.43 tff(15222,plain,
% 7.30/5.43 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB105)) | (~(v130(constB105, bitIndex1) | (~v130(constB105, bitIndex2)) | (~v130(constB105, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB105)) | (~(v130(constB105, bitIndex1) | (~v130(constB105, bitIndex2)) | (~v130(constB105, bitIndex0)))))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15223,plain,
% 7.30/5.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB105)) | (~(v130(constB105, bitIndex1) | (~v130(constB105, bitIndex2)) | (~v130(constB105, bitIndex0)))))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15224,plain,
% 7.30/5.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB105)) | (~(v130(constB105, bitIndex1) | (~v130(constB105, bitIndex2)) | (~v130(constB105, bitIndex0))))),
% 7.30/5.43 inference(modus_ponens,[status(thm)],[15223, 15222])).
% 7.30/5.43 tff(15225,plain,
% 7.30/5.43 ((~v123(constB105)) | (~(v130(constB105, bitIndex1) | (~v130(constB105, bitIndex2)) | (~v130(constB105, bitIndex0))))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15224, 4722])).
% 7.30/5.43 tff(15226,plain,
% 7.30/5.43 (~(v130(constB105, bitIndex1) | (~v130(constB105, bitIndex2)) | (~v130(constB105, bitIndex0)))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15225, 15221])).
% 7.30/5.43 tff(15227,plain,
% 7.30/5.43 ((v130(constB105, bitIndex1) | (~v130(constB105, bitIndex2)) | (~v130(constB105, bitIndex0))) | v130(constB105, bitIndex2)),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15228,plain,
% 7.30/5.43 (v130(constB105, bitIndex2)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15227, 15226])).
% 7.30/5.43 tff(15229,plain,
% 7.30/5.43 (((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | v127(constB105, bitIndex2) | (~v130(constB105, bitIndex2))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15230,plain,
% 7.30/5.43 (v127(constB105, bitIndex2)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15229, 15228, 15007])).
% 7.30/5.43 tff(15231,plain,
% 7.30/5.43 (((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | v129(constB106, bitIndex2) | (~v127(constB105, bitIndex2))),
% 7.30/5.43 inference(tautology,[status(thm)],[])).
% 7.30/5.43 tff(15232,plain,
% 7.30/5.43 (v129(constB106, bitIndex2)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15231, 15230, 14993])).
% 7.30/5.43 tff(15233,plain,
% 7.30/5.43 (((~![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))))))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15234,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15235,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB105, constB106)) | (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))),
% 7.30/5.43 inference(modus_ponens,[status(thm)],[15234, 15233])).
% 7.30/5.43 tff(15236,plain,
% 7.30/5.43 (v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106))))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15235, 14987, 433])).
% 7.30/5.43 tff(15237,plain,
% 7.30/5.43 (((~![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))))))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15238,plain,
% 7.30/5.43 (((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106)))))) <=> ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15239,plain,
% 7.30/5.43 (((~![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)))))))),
% 7.30/5.43 inference(monotonicity,[status(thm)],[15238])).
% 7.30/5.43 tff(15240,plain,
% 7.30/5.43 (((~![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))))))),
% 7.30/5.43 inference(transitivity,[status(thm)],[15239, 15237])).
% 7.30/5.43 tff(15241,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v102(constB106)) | (~v1(constB106))))))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15242,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))),
% 7.30/5.43 inference(modus_ponens,[status(thm)],[15241, 15240])).
% 7.30/5.43 tff(15243,plain,
% 7.30/5.43 (v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106))))),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15242, 14987, 453])).
% 7.30/5.43 tff(15244,plain,
% 7.30/5.43 (((~![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)))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15245,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106)))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15246,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB105, constB106)) | ((~v102(constB106)) <=> v104(constB106))),
% 7.30/5.43 inference(modus_ponens,[status(thm)],[15245, 15244])).
% 7.30/5.43 tff(15247,plain,
% 7.30/5.43 ((~v102(constB106)) <=> v104(constB106)),
% 7.30/5.43 inference(unit_resolution,[status(thm)],[15246, 14987, 3966])).
% 7.30/5.43 tff(15248,plain,
% 7.30/5.43 (((~![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)))),
% 7.30/5.43 inference(rewrite,[status(thm)],[])).
% 7.30/5.43 tff(15249,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105)))),
% 7.30/5.43 inference(quant_inst,[status(thm)],[])).
% 7.30/5.43 tff(15250,plain,
% 7.30/5.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v1(constB105))),
% 7.30/5.43 inference(modus_ponens,[status(thm)],[15249, 15248])).
% 7.30/5.43 tff(15251,plain,
% 7.30/5.43 (v104(constB106) <=> v1(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15250, 14987, 3980])).
% 7.30/5.44 tff(15252,plain,
% 7.30/5.44 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106)) | v1(constB105)),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15253,plain,
% 7.30/5.44 ((~(v104(constB106) <=> v1(constB105))) | (~v104(constB106))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15252, 15028])).
% 7.30/5.44 tff(15254,plain,
% 7.30/5.44 (~v104(constB106)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15253, 15251])).
% 7.30/5.44 tff(15255,plain,
% 7.30/5.44 ((~((~v102(constB106)) <=> v104(constB106))) | v102(constB106) | v104(constB106)),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15256,plain,
% 7.30/5.44 (v102(constB106)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15255, 15254, 15247])).
% 7.30/5.44 tff(15257,plain,
% 7.30/5.44 (v1(constB106) <=> v1(constB106)),
% 7.30/5.44 inference(rewrite,[status(thm)],[])).
% 7.30/5.44 tff(15258,axiom,(v1(constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_106')).
% 7.30/5.44 tff(15259,plain,
% 7.30/5.44 (v1(constB106)),
% 7.30/5.44 inference(modus_ponens,[status(thm)],[15258, 15257])).
% 7.30/5.44 tff(15260,plain,
% 7.30/5.44 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v1(constB106)) | (~v102(constB106))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15261,plain,
% 7.30/5.44 ((~((~v1(constB106)) | (~v102(constB106)))) | (~v102(constB106))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15260, 15259])).
% 7.30/5.44 tff(15262,plain,
% 7.30/5.44 (~((~v1(constB106)) | (~v102(constB106)))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15261, 15256])).
% 7.30/5.44 tff(15263,plain,
% 7.30/5.44 ((~(v101(constB106) <=> (~((~v1(constB106)) | (~v102(constB106)))))) | v101(constB106) | ((~v1(constB106)) | (~v102(constB106)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15264,plain,
% 7.30/5.44 (v101(constB106)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15263, 15262, 15243])).
% 7.30/5.44 tff(15265,plain,
% 7.30/5.44 (((~![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)))),
% 7.30/5.44 inference(rewrite,[status(thm)],[])).
% 7.30/5.44 tff(15266,plain,
% 7.30/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105)))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15267,plain,
% 7.30/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB105, constB106)) | (v110(constB106) <=> v108(constB105))),
% 7.30/5.44 inference(modus_ponens,[status(thm)],[15266, 15265])).
% 7.30/5.44 tff(15268,plain,
% 7.30/5.44 (v110(constB106) <=> v108(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15267, 14987, 4007])).
% 7.30/5.44 tff(15269,plain,
% 7.30/5.44 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB105) <=> (v111(constB105) | v112(constB105)))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15270,plain,
% 7.30/5.44 (v108(constB105) <=> (v111(constB105) | v112(constB105))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15269, 4018])).
% 7.30/5.44 tff(15271,plain,
% 7.30/5.44 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15272,plain,
% 7.30/5.44 (v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105))))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15271, 4030])).
% 7.30/5.44 tff(15273,plain,
% 7.30/5.44 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB105) <=> (v114(constB105) | v125(constB105)))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15274,plain,
% 7.30/5.44 (v113(constB105) <=> (v114(constB105) | v125(constB105))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15273, 4039])).
% 7.30/5.44 tff(15275,plain,
% 7.30/5.44 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB105) <=> (v115(constB105) | v124(constB105)))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15276,plain,
% 7.30/5.44 (v114(constB105) <=> (v115(constB105) | v124(constB105))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15275, 4048])).
% 7.30/5.44 tff(15277,plain,
% 7.30/5.44 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB105) <=> (v116(constB105) | v123(constB105)))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15278,plain,
% 7.30/5.44 (v115(constB105) <=> (v116(constB105) | v123(constB105))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15277, 4057])).
% 7.30/5.44 tff(15279,plain,
% 7.30/5.44 ((v116(constB105) | v123(constB105)) | (~v123(constB105))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15280,plain,
% 7.30/5.44 (v116(constB105) | v123(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15279, 15221])).
% 7.30/5.44 tff(15281,plain,
% 7.30/5.44 ((~(v115(constB105) <=> (v116(constB105) | v123(constB105)))) | v115(constB105) | (~(v116(constB105) | v123(constB105)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15282,plain,
% 7.30/5.44 (v115(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15281, 15280, 15278])).
% 7.30/5.44 tff(15283,plain,
% 7.30/5.44 ((v115(constB105) | v124(constB105)) | (~v115(constB105))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15284,plain,
% 7.30/5.44 (v115(constB105) | v124(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15283, 15282])).
% 7.30/5.44 tff(15285,plain,
% 7.30/5.44 ((~(v114(constB105) <=> (v115(constB105) | v124(constB105)))) | v114(constB105) | (~(v115(constB105) | v124(constB105)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15286,plain,
% 7.30/5.44 (v114(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15285, 15284, 15276])).
% 7.30/5.44 tff(15287,plain,
% 7.30/5.44 ((v114(constB105) | v125(constB105)) | (~v114(constB105))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15288,plain,
% 7.30/5.44 (v114(constB105) | v125(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15287, 15286])).
% 7.30/5.44 tff(15289,plain,
% 7.30/5.44 ((~(v113(constB105) <=> (v114(constB105) | v125(constB105)))) | v113(constB105) | (~(v114(constB105) | v125(constB105)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15290,plain,
% 7.30/5.44 (v113(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15289, 15288, 15274])).
% 7.30/5.44 tff(15291,plain,
% 7.30/5.44 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB105)) <=> v111(constB105))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15292,plain,
% 7.30/5.44 ((~v126(constB105)) <=> v111(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15291, 4118])).
% 7.30/5.44 tff(15293,plain,
% 7.30/5.44 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105) | v111(constB105)),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15294,plain,
% 7.30/5.44 ((~((~v126(constB105)) <=> v111(constB105))) | v126(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15293, 15000])).
% 7.30/5.44 tff(15295,plain,
% 7.30/5.44 (v126(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15294, 15292])).
% 7.30/5.44 tff(15296,plain,
% 7.30/5.44 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105)) | (~v126(constB105))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15297,plain,
% 7.30/5.44 ((~((~v113(constB105)) | (~v126(constB105)))) | (~v113(constB105))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15296, 15295])).
% 7.30/5.44 tff(15298,plain,
% 7.30/5.44 (~((~v113(constB105)) | (~v126(constB105)))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15297, 15290])).
% 7.30/5.44 tff(15299,plain,
% 7.30/5.44 ((~(v112(constB105) <=> (~((~v113(constB105)) | (~v126(constB105)))))) | v112(constB105) | ((~v113(constB105)) | (~v126(constB105)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15300,plain,
% 7.30/5.44 (v112(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15299, 15298, 15272])).
% 7.30/5.44 tff(15301,plain,
% 7.30/5.44 ((v111(constB105) | v112(constB105)) | (~v112(constB105))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15302,plain,
% 7.30/5.44 (v111(constB105) | v112(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15301, 15300])).
% 7.30/5.44 tff(15303,plain,
% 7.30/5.44 ((~(v108(constB105) <=> (v111(constB105) | v112(constB105)))) | v108(constB105) | (~(v111(constB105) | v112(constB105)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15304,plain,
% 7.30/5.44 (v108(constB105)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15303, 15302, 15270])).
% 7.30/5.44 tff(15305,plain,
% 7.30/5.44 ((~(v110(constB106) <=> v108(constB105))) | v110(constB106) | (~v108(constB105))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15306,plain,
% 7.30/5.44 (v110(constB106)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15305, 15304, 15268])).
% 7.30/5.44 tff(15307,plain,
% 7.30/5.44 ((~((~v101(constB106)) | (~v110(constB106)))) | (~v101(constB106)) | (~v110(constB106))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15308,plain,
% 7.30/5.44 (~((~v101(constB106)) | (~v110(constB106)))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15307, 15306, 15264])).
% 7.30/5.44 tff(15309,plain,
% 7.30/5.44 ((~(v100(constB106) <=> (~((~v101(constB106)) | (~v110(constB106)))))) | v100(constB106) | ((~v101(constB106)) | (~v110(constB106)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15310,plain,
% 7.30/5.44 (v100(constB106)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15309, 15308, 15236])).
% 7.30/5.44 tff(15311,plain,
% 7.30/5.44 (((~![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)))))),
% 7.30/5.44 inference(rewrite,[status(thm)],[])).
% 7.30/5.44 tff(15312,plain,
% 7.30/5.44 (((~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)))))),
% 7.30/5.44 inference(rewrite,[status(thm)],[])).
% 7.30/5.44 tff(15313,plain,
% 7.30/5.44 (((~![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))))))),
% 7.30/5.44 inference(monotonicity,[status(thm)],[15312])).
% 7.30/5.44 tff(15314,plain,
% 7.30/5.44 (((~![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)))))),
% 7.30/5.44 inference(transitivity,[status(thm)],[15313, 15311])).
% 7.30/5.44 tff(15315,plain,
% 7.30/5.44 ((~![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)))))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15316,plain,
% 7.30/5.44 ((~![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))))),
% 7.30/5.44 inference(modus_ponens,[status(thm)],[15315, 15314])).
% 7.30/5.44 tff(15317,plain,
% 7.30/5.44 ((~v100(constB106)) | (~(((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15316, 4151])).
% 7.30/5.44 tff(15318,plain,
% 7.30/5.44 (~(((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15317, 15310])).
% 7.30/5.44 tff(15319,plain,
% 7.30/5.44 ((((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))) | (~((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15320,plain,
% 7.30/5.44 (~((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15319, 15318])).
% 7.30/5.44 tff(15321,plain,
% 7.30/5.44 (((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | v90(constB106, bitIndex2) | (~v129(constB106, bitIndex2))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15322,plain,
% 7.30/5.44 (v90(constB106, bitIndex2)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15321, 15320, 15232])).
% 7.30/5.44 tff(15323,plain,
% 7.30/5.44 (((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | v90(constB107, bitIndex2) | (~v90(constB106, bitIndex2))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15324,plain,
% 7.30/5.44 (v90(constB107, bitIndex2)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15323, 15322, 14984])).
% 7.30/5.44 tff(15325,plain,
% 7.30/5.44 ((((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))) | (~((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15326,plain,
% 7.30/5.44 (~((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15325, 14982])).
% 7.30/5.44 tff(15327,plain,
% 7.30/5.44 ((((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0))) | (~((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15328,plain,
% 7.30/5.44 (~((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15327, 14991])).
% 7.30/5.44 tff(15329,plain,
% 7.30/5.44 ((((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1))) | (~((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15330,plain,
% 7.30/5.44 (~((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15329, 15005])).
% 7.30/5.44 tff(15331,plain,
% 7.30/5.44 ((v130(constB105, bitIndex1) | (~v130(constB105, bitIndex2)) | (~v130(constB105, bitIndex0))) | v130(constB105, bitIndex0)),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15332,plain,
% 7.30/5.44 (v130(constB105, bitIndex0)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15331, 15226])).
% 7.30/5.44 tff(15333,plain,
% 7.30/5.44 (((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)) | v127(constB105, bitIndex0) | (~v130(constB105, bitIndex0))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15334,plain,
% 7.30/5.44 (v127(constB105, bitIndex0)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15333, 15332, 15330])).
% 7.30/5.44 tff(15335,plain,
% 7.30/5.44 (((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0)) | v129(constB106, bitIndex0) | (~v127(constB105, bitIndex0))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15336,plain,
% 7.30/5.44 (v129(constB106, bitIndex0)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15335, 15334, 15328])).
% 7.30/5.44 tff(15337,plain,
% 7.30/5.44 ((((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))) | (~((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15338,plain,
% 7.30/5.44 (~((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15337, 15318])).
% 7.30/5.44 tff(15339,plain,
% 7.30/5.44 (((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15340,plain,
% 7.30/5.44 (v90(constB106, bitIndex0)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15339, 15338, 15336])).
% 7.30/5.44 tff(15341,plain,
% 7.30/5.44 (((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0)) | v90(constB107, bitIndex0) | (~v90(constB106, bitIndex0))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15342,plain,
% 7.30/5.44 (v90(constB107, bitIndex0)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15341, 15340, 15326])).
% 7.30/5.44 tff(15343,plain,
% 7.30/5.44 ((((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | ((~v90(constB107, bitIndex2)) <=> v90(constB106, bitIndex2)) | ((~v90(constB107, bitIndex0)) <=> v90(constB106, bitIndex0))) | (~((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15344,plain,
% 7.30/5.44 (~((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15343, 14982])).
% 7.30/5.44 tff(15345,plain,
% 7.30/5.44 ((((~v129(constB106, bitIndex2)) <=> v127(constB105, bitIndex2)) | ((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | ((~v129(constB106, bitIndex0)) <=> v127(constB105, bitIndex0))) | (~((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15346,plain,
% 7.30/5.44 (~((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15345, 14991])).
% 7.30/5.44 tff(15347,plain,
% 7.30/5.44 ((((~v127(constB105, bitIndex2)) <=> v130(constB105, bitIndex2)) | ((~v127(constB105, bitIndex0)) <=> v130(constB105, bitIndex0)) | ((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1))) | (~((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15348,plain,
% 7.30/5.44 (~((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15347, 15005])).
% 7.30/5.44 tff(15349,plain,
% 7.30/5.44 ((v130(constB105, bitIndex1) | (~v130(constB105, bitIndex2)) | (~v130(constB105, bitIndex0))) | (~v130(constB105, bitIndex1))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15350,plain,
% 7.30/5.44 (~v130(constB105, bitIndex1)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15349, 15226])).
% 7.30/5.44 tff(15351,plain,
% 7.30/5.44 (((~v127(constB105, bitIndex1)) <=> v130(constB105, bitIndex1)) | (~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15352,plain,
% 7.30/5.44 (~v127(constB105, bitIndex1)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15351, 15350, 15348])).
% 7.30/5.44 tff(15353,plain,
% 7.30/5.44 (((~v129(constB106, bitIndex1)) <=> v127(constB105, bitIndex1)) | (~v129(constB106, bitIndex1)) | v127(constB105, bitIndex1)),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15354,plain,
% 7.30/5.44 (~v129(constB106, bitIndex1)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15353, 15352, 15346])).
% 7.30/5.44 tff(15355,plain,
% 7.30/5.44 ((((~v90(constB106, bitIndex0)) <=> v129(constB106, bitIndex0)) | ((~v90(constB106, bitIndex2)) <=> v129(constB106, bitIndex2)) | ((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))) | (~((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15356,plain,
% 7.30/5.44 (~((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15355, 15318])).
% 7.30/5.44 tff(15357,plain,
% 7.30/5.44 (((~v90(constB106, bitIndex1)) <=> v129(constB106, bitIndex1)) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1)),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15358,plain,
% 7.30/5.44 (~v90(constB106, bitIndex1)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15357, 15356, 15354])).
% 7.30/5.44 tff(15359,plain,
% 7.30/5.44 (((~v90(constB107, bitIndex1)) <=> v90(constB106, bitIndex1)) | (~v90(constB107, bitIndex1)) | v90(constB106, bitIndex1)),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15360,plain,
% 7.30/5.44 (~v90(constB107, bitIndex1)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15359, 15358, 15344])).
% 7.30/5.44 tff(15361,plain,
% 7.30/5.44 ((~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0)))) | v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15362,plain,
% 7.30/5.44 (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0)))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15361, 15360, 15342, 15324])).
% 7.30/5.44 tff(15363,plain,
% 7.30/5.44 ((~(v124(constB107) <=> (~(v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0)))))) | v124(constB107) | (v90(constB107, bitIndex1) | (~v90(constB107, bitIndex2)) | (~v90(constB107, bitIndex0)))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15364,plain,
% 7.30/5.44 (v124(constB107)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15363, 15362, 14948])).
% 7.30/5.44 tff(15365,plain,
% 7.30/5.44 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB107)) | (~(v130(constB107, bitIndex0) | (~v130(constB107, bitIndex2)) | (~v130(constB107, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB107)) | (~(v130(constB107, bitIndex0) | (~v130(constB107, bitIndex2)) | (~v130(constB107, bitIndex1)))))),
% 7.30/5.44 inference(rewrite,[status(thm)],[])).
% 7.30/5.44 tff(15366,plain,
% 7.30/5.44 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB107)) | (~(v130(constB107, bitIndex0) | (~v130(constB107, bitIndex2)) | (~v130(constB107, bitIndex1)))))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15367,plain,
% 7.30/5.44 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB107)) | (~(v130(constB107, bitIndex0) | (~v130(constB107, bitIndex2)) | (~v130(constB107, bitIndex1))))),
% 7.30/5.44 inference(modus_ponens,[status(thm)],[15366, 15365])).
% 7.30/5.44 tff(15368,plain,
% 7.30/5.44 ((~v124(constB107)) | (~(v130(constB107, bitIndex0) | (~v130(constB107, bitIndex2)) | (~v130(constB107, bitIndex1))))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15367, 4878])).
% 7.30/5.44 tff(15369,plain,
% 7.30/5.44 (~(v130(constB107, bitIndex0) | (~v130(constB107, bitIndex2)) | (~v130(constB107, bitIndex1)))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15368, 15364])).
% 7.30/5.44 tff(15370,plain,
% 7.30/5.44 ((v130(constB107, bitIndex0) | (~v130(constB107, bitIndex2)) | (~v130(constB107, bitIndex1))) | v130(constB107, bitIndex2)),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15371,plain,
% 7.30/5.44 (v130(constB107, bitIndex2)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15370, 15369])).
% 7.30/5.44 tff(15372,plain,
% 7.30/5.44 (((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | v127(constB107, bitIndex2) | (~v130(constB107, bitIndex2))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15373,plain,
% 7.30/5.44 (v127(constB107, bitIndex2)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15372, 15371, 14941])).
% 7.30/5.44 tff(15374,plain,
% 7.30/5.44 (((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | v129(constB108, bitIndex2) | (~v127(constB107, bitIndex2))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15375,plain,
% 7.30/5.44 (v129(constB108, bitIndex2)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15374, 15373, 14927])).
% 7.30/5.44 tff(15376,plain,
% 7.30/5.44 (((~![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))))))),
% 7.30/5.44 inference(rewrite,[status(thm)],[])).
% 7.30/5.44 tff(15377,plain,
% 7.30/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15378,plain,
% 7.30/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB107, constB108)) | (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))),
% 7.30/5.44 inference(modus_ponens,[status(thm)],[15377, 15376])).
% 7.30/5.44 tff(15379,plain,
% 7.30/5.44 (v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108))))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15378, 14921, 433])).
% 7.30/5.44 tff(15380,plain,
% 7.30/5.44 (((~![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))))))),
% 7.30/5.44 inference(rewrite,[status(thm)],[])).
% 7.30/5.44 tff(15381,plain,
% 7.30/5.44 (((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108)))))) <=> ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))))),
% 7.30/5.44 inference(rewrite,[status(thm)],[])).
% 7.30/5.44 tff(15382,plain,
% 7.30/5.44 (((~![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)))))))),
% 7.30/5.44 inference(monotonicity,[status(thm)],[15381])).
% 7.30/5.44 tff(15383,plain,
% 7.30/5.44 (((~![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))))))),
% 7.30/5.44 inference(transitivity,[status(thm)],[15382, 15380])).
% 7.30/5.44 tff(15384,plain,
% 7.30/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v102(constB108)) | (~v1(constB108))))))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15385,plain,
% 7.30/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))),
% 7.30/5.44 inference(modus_ponens,[status(thm)],[15384, 15383])).
% 7.30/5.44 tff(15386,plain,
% 7.30/5.44 (v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108))))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15385, 14921, 453])).
% 7.30/5.44 tff(15387,plain,
% 7.30/5.44 (((~![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)))),
% 7.30/5.44 inference(rewrite,[status(thm)],[])).
% 7.30/5.44 tff(15388,plain,
% 7.30/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108)))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15389,plain,
% 7.30/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB107, constB108)) | ((~v102(constB108)) <=> v104(constB108))),
% 7.30/5.44 inference(modus_ponens,[status(thm)],[15388, 15387])).
% 7.30/5.44 tff(15390,plain,
% 7.30/5.44 ((~v102(constB108)) <=> v104(constB108)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15389, 14921, 3966])).
% 7.30/5.44 tff(15391,plain,
% 7.30/5.44 (((~![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)))),
% 7.30/5.44 inference(rewrite,[status(thm)],[])).
% 7.30/5.44 tff(15392,plain,
% 7.30/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107)))),
% 7.30/5.44 inference(quant_inst,[status(thm)],[])).
% 7.30/5.44 tff(15393,plain,
% 7.30/5.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v1(constB107))),
% 7.30/5.44 inference(modus_ponens,[status(thm)],[15392, 15391])).
% 7.30/5.44 tff(15394,plain,
% 7.30/5.44 (v104(constB108) <=> v1(constB107)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15393, 14921, 3980])).
% 7.30/5.44 tff(15395,plain,
% 7.30/5.44 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108)) | v1(constB107)),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15396,plain,
% 7.30/5.44 ((~(v104(constB108) <=> v1(constB107))) | (~v104(constB108))),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15395, 14965])).
% 7.30/5.44 tff(15397,plain,
% 7.30/5.44 (~v104(constB108)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15396, 15394])).
% 7.30/5.44 tff(15398,plain,
% 7.30/5.44 ((~((~v102(constB108)) <=> v104(constB108))) | v102(constB108) | v104(constB108)),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.44 tff(15399,plain,
% 7.30/5.44 (v102(constB108)),
% 7.30/5.44 inference(unit_resolution,[status(thm)],[15398, 15397, 15390])).
% 7.30/5.44 tff(15400,plain,
% 7.30/5.44 (v1(constB108) <=> v1(constB108)),
% 7.30/5.44 inference(rewrite,[status(thm)],[])).
% 7.30/5.44 tff(15401,axiom,(v1(constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_108')).
% 7.30/5.44 tff(15402,plain,
% 7.30/5.44 (v1(constB108)),
% 7.30/5.44 inference(modus_ponens,[status(thm)],[15401, 15400])).
% 7.30/5.44 tff(15403,plain,
% 7.30/5.44 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v1(constB108)) | (~v102(constB108))),
% 7.30/5.44 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15404,plain,
% 7.30/5.45 ((~((~v1(constB108)) | (~v102(constB108)))) | (~v102(constB108))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15403, 15402])).
% 7.30/5.45 tff(15405,plain,
% 7.30/5.45 (~((~v1(constB108)) | (~v102(constB108)))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15404, 15399])).
% 7.30/5.45 tff(15406,plain,
% 7.30/5.45 ((~(v101(constB108) <=> (~((~v1(constB108)) | (~v102(constB108)))))) | v101(constB108) | ((~v1(constB108)) | (~v102(constB108)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15407,plain,
% 7.30/5.45 (v101(constB108)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15406, 15405, 15386])).
% 7.30/5.45 tff(15408,plain,
% 7.30/5.45 (((~![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)))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15409,plain,
% 7.30/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107)))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15410,plain,
% 7.30/5.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB107, constB108)) | (v110(constB108) <=> v108(constB107))),
% 7.30/5.45 inference(modus_ponens,[status(thm)],[15409, 15408])).
% 7.30/5.45 tff(15411,plain,
% 7.30/5.45 (v110(constB108) <=> v108(constB107)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15410, 14921, 4007])).
% 7.30/5.45 tff(15412,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB107) <=> (v111(constB107) | v112(constB107)))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15413,plain,
% 7.30/5.45 (v108(constB107) <=> (v111(constB107) | v112(constB107))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15412, 4018])).
% 7.30/5.45 tff(15414,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15415,plain,
% 7.30/5.45 (v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107))))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15414, 4030])).
% 7.30/5.45 tff(15416,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB107) <=> (v114(constB107) | v125(constB107)))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15417,plain,
% 7.30/5.45 (v113(constB107) <=> (v114(constB107) | v125(constB107))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15416, 4039])).
% 7.30/5.45 tff(15418,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB107) <=> (v115(constB107) | v124(constB107)))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15419,plain,
% 7.30/5.45 (v114(constB107) <=> (v115(constB107) | v124(constB107))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15418, 4048])).
% 7.30/5.45 tff(15420,plain,
% 7.30/5.45 ((v115(constB107) | v124(constB107)) | (~v124(constB107))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15421,plain,
% 7.30/5.45 (v115(constB107) | v124(constB107)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15420, 15364])).
% 7.30/5.45 tff(15422,plain,
% 7.30/5.45 ((~(v114(constB107) <=> (v115(constB107) | v124(constB107)))) | v114(constB107) | (~(v115(constB107) | v124(constB107)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15423,plain,
% 7.30/5.45 (v114(constB107)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15422, 15421, 15419])).
% 7.30/5.45 tff(15424,plain,
% 7.30/5.45 ((v114(constB107) | v125(constB107)) | (~v114(constB107))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15425,plain,
% 7.30/5.45 (v114(constB107) | v125(constB107)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15424, 15423])).
% 7.30/5.45 tff(15426,plain,
% 7.30/5.45 ((~(v113(constB107) <=> (v114(constB107) | v125(constB107)))) | v113(constB107) | (~(v114(constB107) | v125(constB107)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15427,plain,
% 7.30/5.45 (v113(constB107)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15426, 15425, 15417])).
% 7.30/5.45 tff(15428,plain,
% 7.30/5.45 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB107)) <=> v111(constB107))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15429,plain,
% 7.30/5.45 ((~v126(constB107)) <=> v111(constB107)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15428, 4118])).
% 7.30/5.45 tff(15430,plain,
% 7.30/5.45 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107) | v111(constB107)),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15431,plain,
% 7.30/5.45 ((~((~v126(constB107)) <=> v111(constB107))) | v126(constB107)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15430, 14934])).
% 7.30/5.45 tff(15432,plain,
% 7.30/5.45 (v126(constB107)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15431, 15429])).
% 7.30/5.45 tff(15433,plain,
% 7.30/5.45 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107)) | (~v126(constB107))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15434,plain,
% 7.30/5.45 ((~((~v113(constB107)) | (~v126(constB107)))) | (~v113(constB107))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15433, 15432])).
% 7.30/5.45 tff(15435,plain,
% 7.30/5.45 (~((~v113(constB107)) | (~v126(constB107)))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15434, 15427])).
% 7.30/5.45 tff(15436,plain,
% 7.30/5.45 ((~(v112(constB107) <=> (~((~v113(constB107)) | (~v126(constB107)))))) | v112(constB107) | ((~v113(constB107)) | (~v126(constB107)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15437,plain,
% 7.30/5.45 (v112(constB107)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15436, 15435, 15415])).
% 7.30/5.45 tff(15438,plain,
% 7.30/5.45 ((v111(constB107) | v112(constB107)) | (~v112(constB107))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15439,plain,
% 7.30/5.45 (v111(constB107) | v112(constB107)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15438, 15437])).
% 7.30/5.45 tff(15440,plain,
% 7.30/5.45 ((~(v108(constB107) <=> (v111(constB107) | v112(constB107)))) | v108(constB107) | (~(v111(constB107) | v112(constB107)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15441,plain,
% 7.30/5.45 (v108(constB107)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15440, 15439, 15413])).
% 7.30/5.45 tff(15442,plain,
% 7.30/5.45 ((~(v110(constB108) <=> v108(constB107))) | v110(constB108) | (~v108(constB107))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15443,plain,
% 7.30/5.45 (v110(constB108)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15442, 15441, 15411])).
% 7.30/5.45 tff(15444,plain,
% 7.30/5.45 ((~((~v101(constB108)) | (~v110(constB108)))) | (~v101(constB108)) | (~v110(constB108))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15445,plain,
% 7.30/5.45 (~((~v101(constB108)) | (~v110(constB108)))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15444, 15443, 15407])).
% 7.30/5.45 tff(15446,plain,
% 7.30/5.45 ((~(v100(constB108) <=> (~((~v101(constB108)) | (~v110(constB108)))))) | v100(constB108) | ((~v101(constB108)) | (~v110(constB108)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15447,plain,
% 7.30/5.45 (v100(constB108)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15446, 15445, 15379])).
% 7.30/5.45 tff(15448,plain,
% 7.30/5.45 (((~![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)))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15449,plain,
% 7.30/5.45 ((~![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)))))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15450,plain,
% 7.30/5.45 ((~![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))))),
% 7.30/5.45 inference(modus_ponens,[status(thm)],[15449, 15448])).
% 7.30/5.45 tff(15451,plain,
% 7.30/5.45 ((~v100(constB108)) | (~(((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0))))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15450, 4151])).
% 7.30/5.45 tff(15452,plain,
% 7.30/5.45 (~(((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0)))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15451, 15447])).
% 7.30/5.45 tff(15453,plain,
% 7.30/5.45 ((((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0))) | (~((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15454,plain,
% 7.30/5.45 (~((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15453, 15452])).
% 7.30/5.45 tff(15455,plain,
% 7.30/5.45 (((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | v90(constB108, bitIndex2) | (~v129(constB108, bitIndex2))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15456,plain,
% 7.30/5.45 (v90(constB108, bitIndex2)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15455, 15454, 15375])).
% 7.30/5.45 tff(15457,plain,
% 7.30/5.45 (((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | v90(constB109, bitIndex2) | (~v90(constB108, bitIndex2))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15458,plain,
% 7.30/5.45 (v90(constB109, bitIndex2)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15457, 15456, 14918])).
% 7.30/5.45 tff(15459,plain,
% 7.30/5.45 ((v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex2))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15460,plain,
% 7.30/5.45 (v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15459, 15458])).
% 7.30/5.45 tff(15461,plain,
% 7.30/5.45 ((~(v119(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2))))) | (~v119(constB109)) | (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | v90(constB109, bitIndex2)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15462,plain,
% 7.30/5.45 (~v119(constB109)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15461, 15460, 14882])).
% 7.30/5.45 tff(15463,plain,
% 7.30/5.45 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex0))))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15464,plain,
% 7.30/5.45 ((v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2))))) <=> (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex0)))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15465,plain,
% 7.30/5.45 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex0))))))),
% 7.30/5.45 inference(monotonicity,[status(thm)],[15464])).
% 7.30/5.45 tff(15466,plain,
% 7.30/5.45 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex0))))))),
% 7.30/5.45 inference(transitivity,[status(thm)],[15465, 15463])).
% 7.30/5.45 tff(15467,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex2)))))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15468,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex0)))))),
% 7.30/5.45 inference(modus_ponens,[status(thm)],[15467, 15466])).
% 7.30/5.45 tff(15469,plain,
% 7.30/5.45 (v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex0))))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15468, 801])).
% 7.30/5.45 tff(15470,plain,
% 7.30/5.45 ((((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))) | (~((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15471,plain,
% 7.30/5.45 (~((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15470, 14916])).
% 7.30/5.45 tff(15472,plain,
% 7.30/5.45 ((((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0))) | (~((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15473,plain,
% 7.30/5.45 (~((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15472, 14925])).
% 7.30/5.45 tff(15474,plain,
% 7.30/5.45 ((((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1))) | (~((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15475,plain,
% 7.30/5.45 (~((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15474, 14939])).
% 7.30/5.45 tff(15476,plain,
% 7.30/5.45 ((v130(constB107, bitIndex0) | (~v130(constB107, bitIndex2)) | (~v130(constB107, bitIndex1))) | v130(constB107, bitIndex1)),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15477,plain,
% 7.30/5.45 (v130(constB107, bitIndex1)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15476, 15369])).
% 7.30/5.45 tff(15478,plain,
% 7.30/5.45 (((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1)) | v127(constB107, bitIndex1) | (~v130(constB107, bitIndex1))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15479,plain,
% 7.30/5.45 (v127(constB107, bitIndex1)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15478, 15477, 15475])).
% 7.30/5.45 tff(15480,plain,
% 7.30/5.45 (((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | v129(constB108, bitIndex1) | (~v127(constB107, bitIndex1))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15481,plain,
% 7.30/5.45 (v129(constB108, bitIndex1)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15480, 15479, 15473])).
% 7.30/5.45 tff(15482,plain,
% 7.30/5.45 ((((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0))) | (~((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15483,plain,
% 7.30/5.45 (~((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15482, 15452])).
% 7.30/5.45 tff(15484,plain,
% 7.30/5.45 (((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15485,plain,
% 7.30/5.45 (v90(constB108, bitIndex1)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15484, 15483, 15481])).
% 7.30/5.45 tff(15486,plain,
% 7.30/5.45 (((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | v90(constB109, bitIndex1) | (~v90(constB108, bitIndex1))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15487,plain,
% 7.30/5.45 (v90(constB109, bitIndex1)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15486, 15485, 15471])).
% 7.30/5.45 tff(15488,plain,
% 7.30/5.45 ((v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex0))) | (~v90(constB109, bitIndex1))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15489,plain,
% 7.30/5.45 (v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex0))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15488, 15487])).
% 7.30/5.45 tff(15490,plain,
% 7.30/5.45 ((~(v124(constB109) <=> (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex0)))))) | (~v124(constB109)) | (~(v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)) | (~v90(constB109, bitIndex0))))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15491,plain,
% 7.30/5.45 (~v124(constB109)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15490, 15489, 15469])).
% 7.30/5.45 tff(15492,plain,
% 7.30/5.45 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex2))))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15493,plain,
% 7.30/5.45 ((v123(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2))))) <=> (v123(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex2)))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15494,plain,
% 7.30/5.45 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex2))))))),
% 7.30/5.45 inference(monotonicity,[status(thm)],[15493])).
% 7.30/5.45 tff(15495,plain,
% 7.30/5.45 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex2))))))),
% 7.30/5.45 inference(transitivity,[status(thm)],[15494, 15492])).
% 7.30/5.45 tff(15496,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex1) | (~v90(constB109, bitIndex2)))))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15497,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex2)))))),
% 7.30/5.45 inference(modus_ponens,[status(thm)],[15496, 15495])).
% 7.30/5.45 tff(15498,plain,
% 7.30/5.45 (v123(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex2))))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15497, 880])).
% 7.30/5.45 tff(15499,plain,
% 7.30/5.45 ((v90(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex2))) | (~v90(constB109, bitIndex1))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15500,plain,
% 7.30/5.45 (v90(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex2))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15499, 15487])).
% 7.30/5.45 tff(15501,plain,
% 7.30/5.45 ((~(v123(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex2)))))) | (~v123(constB109)) | (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex2))))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15502,plain,
% 7.30/5.45 (~v123(constB109)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15501, 15500, 15498])).
% 7.30/5.45 tff(15503,plain,
% 7.30/5.45 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15504,plain,
% 7.30/5.45 ((v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1))))) <=> (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0)))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15505,plain,
% 7.30/5.45 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))))),
% 7.30/5.45 inference(monotonicity,[status(thm)],[15504])).
% 7.30/5.45 tff(15506,plain,
% 7.30/5.45 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))))),
% 7.30/5.45 inference(transitivity,[status(thm)],[15505, 15503])).
% 7.30/5.45 tff(15507,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)) | (~v90(constB109, bitIndex1)))))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15508,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0)))))),
% 7.30/5.45 inference(modus_ponens,[status(thm)],[15507, 15506])).
% 7.30/5.45 tff(15509,plain,
% 7.30/5.45 (v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15508, 959])).
% 7.30/5.45 tff(15510,plain,
% 7.30/5.45 ((v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))) | (~v90(constB109, bitIndex2))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15511,plain,
% 7.30/5.45 (v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15510, 15458])).
% 7.30/5.45 tff(15512,plain,
% 7.30/5.45 ((~(v122(constB109) <=> (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0)))))) | (~v122(constB109)) | (~(v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex0))))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15513,plain,
% 7.30/5.45 (~v122(constB109)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15512, 15511, 15509])).
% 7.30/5.45 tff(15514,plain,
% 7.30/5.45 (((~![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))))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15515,plain,
% 7.30/5.45 ((v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1))))) <=> (v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15516,plain,
% 7.30/5.45 (((~![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))))))),
% 7.30/5.45 inference(monotonicity,[status(thm)],[15515])).
% 7.30/5.45 tff(15517,plain,
% 7.30/5.45 (((~![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))))))),
% 7.30/5.45 inference(transitivity,[status(thm)],[15516, 15514])).
% 7.30/5.45 tff(15518,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex0) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex1)))))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15519,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)))))),
% 7.30/5.45 inference(modus_ponens,[status(thm)],[15518, 15517])).
% 7.30/5.45 tff(15520,plain,
% 7.30/5.45 (v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1))))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15519, 574])).
% 7.30/5.45 tff(15521,plain,
% 7.30/5.45 ((v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1))) | (~v90(constB109, bitIndex2))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15522,plain,
% 7.30/5.45 (v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15521, 15458])).
% 7.30/5.45 tff(15523,plain,
% 7.30/5.45 ((~(v121(constB109) <=> (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)))))) | (~v121(constB109)) | (~(v90(constB109, bitIndex2) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1))))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15524,plain,
% 7.30/5.45 (~v121(constB109)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15523, 15522, 15520])).
% 7.30/5.45 tff(15525,plain,
% 7.30/5.45 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)))))),
% 7.30/5.45 inference(quant_inst,[status(thm)],[])).
% 7.30/5.45 tff(15526,plain,
% 7.30/5.45 (v120(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0))))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15525, 653])).
% 7.30/5.45 tff(15527,plain,
% 7.30/5.45 ((v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0))) | (~v90(constB109, bitIndex2))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15528,plain,
% 7.30/5.45 (v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0))),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15527, 15458])).
% 7.30/5.45 tff(15529,plain,
% 7.30/5.45 ((~(v120(constB109) <=> (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0)))))) | (~v120(constB109)) | (~(v90(constB109, bitIndex1) | v90(constB109, bitIndex2) | (~v90(constB109, bitIndex0))))),
% 7.30/5.45 inference(tautology,[status(thm)],[])).
% 7.30/5.45 tff(15530,plain,
% 7.30/5.45 (~v120(constB109)),
% 7.30/5.45 inference(unit_resolution,[status(thm)],[15529, 15528, 15526])).
% 7.30/5.45 tff(15531,plain,
% 7.30/5.45 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, 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(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0)))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15532,plain,
% 7.30/5.45 ((v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0))))) <=> (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0)))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15533,plain,
% 7.30/5.45 ((~(v130(constB109, bitIndex1) | v130(constB109, bitIndex2) | (~v130(constB109, bitIndex0)))) <=> (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0))))),
% 7.30/5.45 inference(rewrite,[status(thm)],[])).
% 7.30/5.45 tff(15534,plain,
% 7.30/5.45 ((v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~(v130(constB109, bitIndex1) | v130(constB109, bitIndex2) | (~v130(constB109, bitIndex0))))) <=> (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0)))))),
% 7.30/5.45 inference(monotonicity,[status(thm)],[15533])).
% 7.30/5.45 tff(15535,plain,
% 7.30/5.45 ((v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~(v130(constB109, bitIndex1) | v130(constB109, bitIndex2) | (~v130(constB109, bitIndex0))))) <=> (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0)))))),
% 7.30/5.46 inference(transitivity,[status(thm)],[15534, 15532])).
% 7.30/5.46 tff(15536,plain,
% 7.30/5.46 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~(v130(constB109, bitIndex1) | v130(constB109, bitIndex2) | (~v130(constB109, 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(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0))))))),
% 7.30/5.46 inference(monotonicity,[status(thm)],[15535])).
% 7.30/5.46 tff(15537,plain,
% 7.30/5.46 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~(v130(constB109, bitIndex1) | v130(constB109, bitIndex2) | (~v130(constB109, 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(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0)))))),
% 7.30/5.46 inference(transitivity,[status(thm)],[15536, 15531])).
% 7.30/5.46 tff(15538,plain,
% 7.30/5.46 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB109) | v123(constB109) | v122(constB109) | v121(constB109) | v120(constB109) | v119(constB109) | (~(v130(constB109, bitIndex1) | v130(constB109, bitIndex2) | (~v130(constB109, bitIndex0)))))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15539,plain,
% 7.30/5.46 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0))))),
% 7.30/5.46 inference(modus_ponens,[status(thm)],[15538, 15537])).
% 7.30/5.46 tff(15540,plain,
% 7.30/5.46 (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0))))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15539, 5057])).
% 7.30/5.46 tff(15541,plain,
% 7.30/5.46 (~(v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0)))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15540, 15530, 15524, 15513, 15502, 15491, 15462])).
% 7.30/5.46 tff(15542,plain,
% 7.30/5.46 ((v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0))) | (~v130(constB109, bitIndex2))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15543,plain,
% 7.30/5.46 (~v130(constB109, bitIndex2)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15542, 15541])).
% 7.30/5.46 tff(15544,plain,
% 7.30/5.46 (((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | (~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15545,plain,
% 7.30/5.46 (~v127(constB109, bitIndex2)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15544, 15543, 14880])).
% 7.30/5.46 tff(15546,plain,
% 7.30/5.46 (((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | (~v129(constB110, bitIndex2)) | v127(constB109, bitIndex2)),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15547,plain,
% 7.30/5.46 (~v129(constB110, bitIndex2)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15546, 15545, 14866])).
% 7.30/5.46 tff(15548,plain,
% 7.30/5.46 (((~![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))))))),
% 7.30/5.46 inference(rewrite,[status(thm)],[])).
% 7.30/5.46 tff(15549,plain,
% 7.30/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15550,plain,
% 7.30/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB109, constB110)) | (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))),
% 7.30/5.46 inference(modus_ponens,[status(thm)],[15549, 15548])).
% 7.30/5.46 tff(15551,plain,
% 7.30/5.46 (v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110))))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15550, 14860, 433])).
% 7.30/5.46 tff(15552,plain,
% 7.30/5.46 (((~![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))))))),
% 7.30/5.46 inference(rewrite,[status(thm)],[])).
% 7.30/5.46 tff(15553,plain,
% 7.30/5.46 (((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110)))))) <=> ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))))),
% 7.30/5.46 inference(rewrite,[status(thm)],[])).
% 7.30/5.46 tff(15554,plain,
% 7.30/5.46 (((~![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)))))))),
% 7.30/5.46 inference(monotonicity,[status(thm)],[15553])).
% 7.30/5.46 tff(15555,plain,
% 7.30/5.46 (((~![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))))))),
% 7.30/5.46 inference(transitivity,[status(thm)],[15554, 15552])).
% 7.30/5.46 tff(15556,plain,
% 7.30/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v102(constB110)) | (~v1(constB110))))))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15557,plain,
% 7.30/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))),
% 7.30/5.46 inference(modus_ponens,[status(thm)],[15556, 15555])).
% 7.30/5.46 tff(15558,plain,
% 7.30/5.46 (v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110))))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15557, 14860, 453])).
% 7.30/5.46 tff(15559,plain,
% 7.30/5.46 (((~![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)))),
% 7.30/5.46 inference(rewrite,[status(thm)],[])).
% 7.30/5.46 tff(15560,plain,
% 7.30/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110)))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15561,plain,
% 7.30/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB109, constB110)) | ((~v102(constB110)) <=> v104(constB110))),
% 7.30/5.46 inference(modus_ponens,[status(thm)],[15560, 15559])).
% 7.30/5.46 tff(15562,plain,
% 7.30/5.46 ((~v102(constB110)) <=> v104(constB110)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15561, 14860, 3966])).
% 7.30/5.46 tff(15563,plain,
% 7.30/5.46 (((~![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)))),
% 7.30/5.46 inference(rewrite,[status(thm)],[])).
% 7.30/5.46 tff(15564,plain,
% 7.30/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109)))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15565,plain,
% 7.30/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v1(constB109))),
% 7.30/5.46 inference(modus_ponens,[status(thm)],[15564, 15563])).
% 7.30/5.46 tff(15566,plain,
% 7.30/5.46 (v104(constB110) <=> v1(constB109)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15565, 14860, 3980])).
% 7.30/5.46 tff(15567,plain,
% 7.30/5.46 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110)) | v1(constB109)),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15568,plain,
% 7.30/5.46 ((~(v104(constB110) <=> v1(constB109))) | (~v104(constB110))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15567, 14899])).
% 7.30/5.46 tff(15569,plain,
% 7.30/5.46 (~v104(constB110)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15568, 15566])).
% 7.30/5.46 tff(15570,plain,
% 7.30/5.46 ((~((~v102(constB110)) <=> v104(constB110))) | v102(constB110) | v104(constB110)),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15571,plain,
% 7.30/5.46 (v102(constB110)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15570, 15569, 15562])).
% 7.30/5.46 tff(15572,plain,
% 7.30/5.46 (v1(constB110) <=> v1(constB110)),
% 7.30/5.46 inference(rewrite,[status(thm)],[])).
% 7.30/5.46 tff(15573,axiom,(v1(constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_110')).
% 7.30/5.46 tff(15574,plain,
% 7.30/5.46 (v1(constB110)),
% 7.30/5.46 inference(modus_ponens,[status(thm)],[15573, 15572])).
% 7.30/5.46 tff(15575,plain,
% 7.30/5.46 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v1(constB110)) | (~v102(constB110))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15576,plain,
% 7.30/5.46 ((~((~v1(constB110)) | (~v102(constB110)))) | (~v102(constB110))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15575, 15574])).
% 7.30/5.46 tff(15577,plain,
% 7.30/5.46 (~((~v1(constB110)) | (~v102(constB110)))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15576, 15571])).
% 7.30/5.46 tff(15578,plain,
% 7.30/5.46 ((~(v101(constB110) <=> (~((~v1(constB110)) | (~v102(constB110)))))) | v101(constB110) | ((~v1(constB110)) | (~v102(constB110)))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15579,plain,
% 7.30/5.46 (v101(constB110)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15578, 15577, 15558])).
% 7.30/5.46 tff(15580,plain,
% 7.30/5.46 (((~![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)))),
% 7.30/5.46 inference(rewrite,[status(thm)],[])).
% 7.30/5.46 tff(15581,plain,
% 7.30/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109)))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15582,plain,
% 7.30/5.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB109, constB110)) | (v110(constB110) <=> v108(constB109))),
% 7.30/5.46 inference(modus_ponens,[status(thm)],[15581, 15580])).
% 7.30/5.46 tff(15583,plain,
% 7.30/5.46 (v110(constB110) <=> v108(constB109)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15582, 14860, 4007])).
% 7.30/5.46 tff(15584,plain,
% 7.30/5.46 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB109) <=> (v111(constB109) | v112(constB109)))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15585,plain,
% 7.30/5.46 (v108(constB109) <=> (v111(constB109) | v112(constB109))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15584, 4018])).
% 7.30/5.46 tff(15586,plain,
% 7.30/5.46 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15587,plain,
% 7.30/5.46 (v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109))))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15586, 4030])).
% 7.30/5.46 tff(15588,plain,
% 7.30/5.46 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB109) <=> (v114(constB109) | v125(constB109)))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15589,plain,
% 7.30/5.46 (v113(constB109) <=> (v114(constB109) | v125(constB109))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15588, 4039])).
% 7.30/5.46 tff(15590,plain,
% 7.30/5.46 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB109) <=> (~(v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)))))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15591,plain,
% 7.30/5.46 (v125(constB109) <=> (~(v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2))))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15590, 5129])).
% 7.30/5.46 tff(15592,plain,
% 7.30/5.46 ((((~v90(constB109, bitIndex1)) <=> v90(constB108, bitIndex1)) | ((~v90(constB109, bitIndex2)) <=> v90(constB108, bitIndex2)) | ((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))) | (~((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15593,plain,
% 7.30/5.46 (~((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15592, 14916])).
% 7.30/5.46 tff(15594,plain,
% 7.30/5.46 ((((~v129(constB108, bitIndex2)) <=> v127(constB107, bitIndex2)) | ((~v129(constB108, bitIndex1)) <=> v127(constB107, bitIndex1)) | ((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0))) | (~((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0)))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15595,plain,
% 7.30/5.46 (~((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15594, 14925])).
% 7.30/5.46 tff(15596,plain,
% 7.30/5.46 ((((~v127(constB107, bitIndex2)) <=> v130(constB107, bitIndex2)) | ((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)) | ((~v127(constB107, bitIndex1)) <=> v130(constB107, bitIndex1))) | (~((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15597,plain,
% 7.30/5.46 (~((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15596, 14939])).
% 7.30/5.46 tff(15598,plain,
% 7.30/5.46 ((v130(constB107, bitIndex0) | (~v130(constB107, bitIndex2)) | (~v130(constB107, bitIndex1))) | (~v130(constB107, bitIndex0))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15599,plain,
% 7.30/5.46 (~v130(constB107, bitIndex0)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15598, 15369])).
% 7.30/5.46 tff(15600,plain,
% 7.30/5.46 (((~v127(constB107, bitIndex0)) <=> v130(constB107, bitIndex0)) | (~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15601,plain,
% 7.30/5.46 (~v127(constB107, bitIndex0)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15600, 15599, 15597])).
% 7.30/5.46 tff(15602,plain,
% 7.30/5.46 (((~v129(constB108, bitIndex0)) <=> v127(constB107, bitIndex0)) | (~v129(constB108, bitIndex0)) | v127(constB107, bitIndex0)),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15603,plain,
% 7.30/5.46 (~v129(constB108, bitIndex0)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15602, 15601, 15595])).
% 7.30/5.46 tff(15604,plain,
% 7.30/5.46 ((((~v90(constB108, bitIndex2)) <=> v129(constB108, bitIndex2)) | ((~v90(constB108, bitIndex1)) <=> v129(constB108, bitIndex1)) | ((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0))) | (~((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0)))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15605,plain,
% 7.30/5.46 (~((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15604, 15452])).
% 7.30/5.46 tff(15606,plain,
% 7.30/5.46 (((~v90(constB108, bitIndex0)) <=> v129(constB108, bitIndex0)) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0)),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15607,plain,
% 7.30/5.46 (~v90(constB108, bitIndex0)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15606, 15605, 15603])).
% 7.30/5.46 tff(15608,plain,
% 7.30/5.46 (((~v90(constB109, bitIndex0)) <=> v90(constB108, bitIndex0)) | (~v90(constB109, bitIndex0)) | v90(constB108, bitIndex0)),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15609,plain,
% 7.30/5.46 (~v90(constB109, bitIndex0)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15608, 15607, 15593])).
% 7.30/5.46 tff(15610,plain,
% 7.30/5.46 ((~(v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15611,plain,
% 7.30/5.46 (~(v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15610, 15487, 15609, 15458])).
% 7.30/5.46 tff(15612,plain,
% 7.30/5.46 ((~(v125(constB109) <=> (~(v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)))))) | v125(constB109) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | (~v90(constB109, bitIndex2)))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15613,plain,
% 7.30/5.46 (v125(constB109)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15612, 15611, 15591])).
% 7.30/5.46 tff(15614,plain,
% 7.30/5.46 ((v114(constB109) | v125(constB109)) | (~v125(constB109))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15615,plain,
% 7.30/5.46 (v114(constB109) | v125(constB109)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15614, 15613])).
% 7.30/5.46 tff(15616,plain,
% 7.30/5.46 ((~(v113(constB109) <=> (v114(constB109) | v125(constB109)))) | v113(constB109) | (~(v114(constB109) | v125(constB109)))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15617,plain,
% 7.30/5.46 (v113(constB109)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15616, 15615, 15589])).
% 7.30/5.46 tff(15618,plain,
% 7.30/5.46 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB109)) <=> v111(constB109))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15619,plain,
% 7.30/5.46 ((~v126(constB109)) <=> v111(constB109)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15618, 4118])).
% 7.30/5.46 tff(15620,plain,
% 7.30/5.46 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109) | v111(constB109)),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15621,plain,
% 7.30/5.46 ((~((~v126(constB109)) <=> v111(constB109))) | v126(constB109)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15620, 14873])).
% 7.30/5.46 tff(15622,plain,
% 7.30/5.46 (v126(constB109)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15621, 15619])).
% 7.30/5.46 tff(15623,plain,
% 7.30/5.46 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109)) | (~v126(constB109))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15624,plain,
% 7.30/5.46 ((~((~v113(constB109)) | (~v126(constB109)))) | (~v113(constB109))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15623, 15622])).
% 7.30/5.46 tff(15625,plain,
% 7.30/5.46 (~((~v113(constB109)) | (~v126(constB109)))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15624, 15617])).
% 7.30/5.46 tff(15626,plain,
% 7.30/5.46 ((~(v112(constB109) <=> (~((~v113(constB109)) | (~v126(constB109)))))) | v112(constB109) | ((~v113(constB109)) | (~v126(constB109)))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15627,plain,
% 7.30/5.46 (v112(constB109)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15626, 15625, 15587])).
% 7.30/5.46 tff(15628,plain,
% 7.30/5.46 ((v111(constB109) | v112(constB109)) | (~v112(constB109))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15629,plain,
% 7.30/5.46 (v111(constB109) | v112(constB109)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15628, 15627])).
% 7.30/5.46 tff(15630,plain,
% 7.30/5.46 ((~(v108(constB109) <=> (v111(constB109) | v112(constB109)))) | v108(constB109) | (~(v111(constB109) | v112(constB109)))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15631,plain,
% 7.30/5.46 (v108(constB109)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15630, 15629, 15585])).
% 7.30/5.46 tff(15632,plain,
% 7.30/5.46 ((~(v110(constB110) <=> v108(constB109))) | v110(constB110) | (~v108(constB109))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15633,plain,
% 7.30/5.46 (v110(constB110)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15632, 15631, 15583])).
% 7.30/5.46 tff(15634,plain,
% 7.30/5.46 ((~((~v101(constB110)) | (~v110(constB110)))) | (~v101(constB110)) | (~v110(constB110))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15635,plain,
% 7.30/5.46 (~((~v101(constB110)) | (~v110(constB110)))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15634, 15633, 15579])).
% 7.30/5.46 tff(15636,plain,
% 7.30/5.46 ((~(v100(constB110) <=> (~((~v101(constB110)) | (~v110(constB110)))))) | v100(constB110) | ((~v101(constB110)) | (~v110(constB110)))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15637,plain,
% 7.30/5.46 (v100(constB110)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15636, 15635, 15551])).
% 7.30/5.46 tff(15638,plain,
% 7.30/5.46 (((~![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)))))),
% 7.30/5.46 inference(rewrite,[status(thm)],[])).
% 7.30/5.46 tff(15639,plain,
% 7.30/5.46 (((~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)))))),
% 7.30/5.46 inference(rewrite,[status(thm)],[])).
% 7.30/5.46 tff(15640,plain,
% 7.30/5.46 (((~![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))))))),
% 7.30/5.46 inference(monotonicity,[status(thm)],[15639])).
% 7.30/5.46 tff(15641,plain,
% 7.30/5.46 (((~![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)))))),
% 7.30/5.46 inference(transitivity,[status(thm)],[15640, 15638])).
% 7.30/5.46 tff(15642,plain,
% 7.30/5.46 ((~![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)))))),
% 7.30/5.46 inference(quant_inst,[status(thm)],[])).
% 7.30/5.46 tff(15643,plain,
% 7.30/5.46 ((~![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))))),
% 7.30/5.46 inference(modus_ponens,[status(thm)],[15642, 15641])).
% 7.30/5.46 tff(15644,plain,
% 7.30/5.46 ((~v100(constB110)) | (~(((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15643, 4151])).
% 7.30/5.46 tff(15645,plain,
% 7.30/5.46 (~(((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15644, 15637])).
% 7.30/5.46 tff(15646,plain,
% 7.30/5.46 ((((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))) | (~((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)))),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15647,plain,
% 7.30/5.46 (~((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2))),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15646, 15645])).
% 7.30/5.46 tff(15648,plain,
% 7.30/5.46 (((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2)),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.46 tff(15649,plain,
% 7.30/5.46 (~v90(constB110, bitIndex2)),
% 7.30/5.46 inference(unit_resolution,[status(thm)],[15648, 15647, 15547])).
% 7.30/5.46 tff(15650,plain,
% 7.30/5.46 (((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | (~v90(constB111, bitIndex2)) | v90(constB110, bitIndex2)),
% 7.30/5.46 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15651,plain,
% 7.30/5.47 (~v90(constB111, bitIndex2)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15650, 15649, 14857])).
% 7.30/5.47 tff(15652,plain,
% 7.30/5.47 ((((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))) | (~((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15653,plain,
% 7.30/5.47 (~((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15652, 14855])).
% 7.30/5.47 tff(15654,plain,
% 7.30/5.47 ((((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0))) | (~((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15655,plain,
% 7.30/5.47 (~((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15654, 14864])).
% 7.30/5.47 tff(15656,plain,
% 7.30/5.47 ((((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1))) | (~((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15657,plain,
% 7.30/5.47 (~((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15656, 14878])).
% 7.30/5.47 tff(15658,plain,
% 7.30/5.47 ((v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0))) | v130(constB109, bitIndex0)),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15659,plain,
% 7.30/5.47 (v130(constB109, bitIndex0)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15658, 15541])).
% 7.30/5.47 tff(15660,plain,
% 7.30/5.47 (((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)) | v127(constB109, bitIndex0) | (~v130(constB109, bitIndex0))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15661,plain,
% 7.30/5.47 (v127(constB109, bitIndex0)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15660, 15659, 15657])).
% 7.30/5.47 tff(15662,plain,
% 7.30/5.47 (((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0)) | v129(constB110, bitIndex0) | (~v127(constB109, bitIndex0))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15663,plain,
% 7.30/5.47 (v129(constB110, bitIndex0)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15662, 15661, 15655])).
% 7.30/5.47 tff(15664,plain,
% 7.30/5.47 ((((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))) | (~((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15665,plain,
% 7.30/5.47 (~((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15664, 15645])).
% 7.30/5.47 tff(15666,plain,
% 7.30/5.47 (((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15667,plain,
% 7.30/5.47 (v90(constB110, bitIndex0)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15666, 15665, 15663])).
% 7.30/5.47 tff(15668,plain,
% 7.30/5.47 (((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0)) | v90(constB111, bitIndex0) | (~v90(constB110, bitIndex0))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15669,plain,
% 7.30/5.47 (v90(constB111, bitIndex0)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15668, 15667, 15653])).
% 7.30/5.47 tff(15670,plain,
% 7.30/5.47 ((((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | ((~v90(constB111, bitIndex2)) <=> v90(constB110, bitIndex2)) | ((~v90(constB111, bitIndex0)) <=> v90(constB110, bitIndex0))) | (~((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15671,plain,
% 7.30/5.47 (~((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15670, 14855])).
% 7.30/5.47 tff(15672,plain,
% 7.30/5.47 ((((~v129(constB110, bitIndex2)) <=> v127(constB109, bitIndex2)) | ((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | ((~v129(constB110, bitIndex0)) <=> v127(constB109, bitIndex0))) | (~((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15673,plain,
% 7.30/5.47 (~((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15672, 14864])).
% 7.30/5.47 tff(15674,plain,
% 7.30/5.47 ((((~v127(constB109, bitIndex2)) <=> v130(constB109, bitIndex2)) | ((~v127(constB109, bitIndex0)) <=> v130(constB109, bitIndex0)) | ((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1))) | (~((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15675,plain,
% 7.30/5.47 (~((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15674, 14878])).
% 7.30/5.47 tff(15676,plain,
% 7.30/5.47 ((v130(constB109, bitIndex2) | v130(constB109, bitIndex1) | (~v130(constB109, bitIndex0))) | (~v130(constB109, bitIndex1))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15677,plain,
% 7.30/5.47 (~v130(constB109, bitIndex1)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15676, 15541])).
% 7.30/5.47 tff(15678,plain,
% 7.30/5.47 (((~v127(constB109, bitIndex1)) <=> v130(constB109, bitIndex1)) | (~v127(constB109, bitIndex1)) | v130(constB109, bitIndex1)),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15679,plain,
% 7.30/5.47 (~v127(constB109, bitIndex1)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15678, 15677, 15675])).
% 7.30/5.47 tff(15680,plain,
% 7.30/5.47 (((~v129(constB110, bitIndex1)) <=> v127(constB109, bitIndex1)) | (~v129(constB110, bitIndex1)) | v127(constB109, bitIndex1)),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15681,plain,
% 7.30/5.47 (~v129(constB110, bitIndex1)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15680, 15679, 15673])).
% 7.30/5.47 tff(15682,plain,
% 7.30/5.47 ((((~v90(constB110, bitIndex0)) <=> v129(constB110, bitIndex0)) | ((~v90(constB110, bitIndex2)) <=> v129(constB110, bitIndex2)) | ((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))) | (~((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15683,plain,
% 7.30/5.47 (~((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15682, 15645])).
% 7.30/5.47 tff(15684,plain,
% 7.30/5.47 (((~v90(constB110, bitIndex1)) <=> v129(constB110, bitIndex1)) | (~v90(constB110, bitIndex1)) | v129(constB110, bitIndex1)),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15685,plain,
% 7.30/5.47 (~v90(constB110, bitIndex1)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15684, 15683, 15681])).
% 7.30/5.47 tff(15686,plain,
% 7.30/5.47 (((~v90(constB111, bitIndex1)) <=> v90(constB110, bitIndex1)) | (~v90(constB111, bitIndex1)) | v90(constB110, bitIndex1)),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15687,plain,
% 7.30/5.47 (~v90(constB111, bitIndex1)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15686, 15685, 15671])).
% 7.30/5.47 tff(15688,plain,
% 7.30/5.47 ((~(v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)))) | v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15689,plain,
% 7.30/5.47 (~(v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15688, 15687, 15669, 15651])).
% 7.30/5.47 tff(15690,plain,
% 7.30/5.47 ((~(v120(constB111) <=> (~(v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)))))) | v120(constB111) | (v90(constB111, bitIndex1) | v90(constB111, bitIndex2) | (~v90(constB111, bitIndex0)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15691,plain,
% 7.30/5.47 (v120(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15690, 15689, 14821])).
% 7.30/5.47 tff(15692,plain,
% 7.30/5.47 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB111)) | (~(v130(constB111, bitIndex2) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB111)) | (~(v130(constB111, bitIndex2) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex1)))))),
% 7.30/5.47 inference(rewrite,[status(thm)],[])).
% 7.30/5.47 tff(15693,plain,
% 7.30/5.47 (((~v120(constB111)) | (~(v130(constB111, bitIndex0) | v130(constB111, bitIndex2) | (~v130(constB111, bitIndex1))))) <=> ((~v120(constB111)) | (~(v130(constB111, bitIndex2) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex1)))))),
% 7.30/5.47 inference(rewrite,[status(thm)],[])).
% 7.30/5.47 tff(15694,plain,
% 7.30/5.47 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB111)) | (~(v130(constB111, bitIndex0) | v130(constB111, bitIndex2) | (~v130(constB111, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB111)) | (~(v130(constB111, bitIndex2) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex1))))))),
% 7.30/5.47 inference(monotonicity,[status(thm)],[15693])).
% 7.30/5.47 tff(15695,plain,
% 7.30/5.47 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB111)) | (~(v130(constB111, bitIndex0) | v130(constB111, bitIndex2) | (~v130(constB111, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB111)) | (~(v130(constB111, bitIndex2) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex1)))))),
% 7.30/5.47 inference(transitivity,[status(thm)],[15694, 15692])).
% 7.30/5.47 tff(15696,plain,
% 7.30/5.47 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB111)) | (~(v130(constB111, bitIndex0) | v130(constB111, bitIndex2) | (~v130(constB111, bitIndex1)))))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15697,plain,
% 7.30/5.47 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB111)) | (~(v130(constB111, bitIndex2) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex1))))),
% 7.30/5.47 inference(modus_ponens,[status(thm)],[15696, 15695])).
% 7.30/5.47 tff(15698,plain,
% 7.30/5.47 ((~v120(constB111)) | (~(v130(constB111, bitIndex2) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex1))))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15697, 4218])).
% 7.30/5.47 tff(15699,plain,
% 7.30/5.47 (~(v130(constB111, bitIndex2) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex1)))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15698, 15691])).
% 7.30/5.47 tff(15700,plain,
% 7.30/5.47 ((v130(constB111, bitIndex2) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex1))) | (~v130(constB111, bitIndex2))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15701,plain,
% 7.30/5.47 (~v130(constB111, bitIndex2)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15700, 15699])).
% 7.30/5.47 tff(15702,plain,
% 7.30/5.47 (((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | (~v127(constB111, bitIndex2)) | v130(constB111, bitIndex2)),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15703,plain,
% 7.30/5.47 (~v127(constB111, bitIndex2)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15702, 15701, 14819])).
% 7.30/5.47 tff(15704,plain,
% 7.30/5.47 (((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | (~v129(constB112, bitIndex2)) | v127(constB111, bitIndex2)),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15705,plain,
% 7.30/5.47 (~v129(constB112, bitIndex2)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15704, 15703, 14805])).
% 7.30/5.47 tff(15706,plain,
% 7.30/5.47 (((~![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))))))),
% 7.30/5.47 inference(rewrite,[status(thm)],[])).
% 7.30/5.47 tff(15707,plain,
% 7.30/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15708,plain,
% 7.30/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB111, constB112)) | (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))),
% 7.30/5.47 inference(modus_ponens,[status(thm)],[15707, 15706])).
% 7.30/5.47 tff(15709,plain,
% 7.30/5.47 (v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112))))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15708, 14799, 433])).
% 7.30/5.47 tff(15710,plain,
% 7.30/5.47 (((~![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))))))),
% 7.30/5.47 inference(rewrite,[status(thm)],[])).
% 7.30/5.47 tff(15711,plain,
% 7.30/5.47 (((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112)))))) <=> ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))))),
% 7.30/5.47 inference(rewrite,[status(thm)],[])).
% 7.30/5.47 tff(15712,plain,
% 7.30/5.47 (((~![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)))))))),
% 7.30/5.47 inference(monotonicity,[status(thm)],[15711])).
% 7.30/5.47 tff(15713,plain,
% 7.30/5.47 (((~![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))))))),
% 7.30/5.47 inference(transitivity,[status(thm)],[15712, 15710])).
% 7.30/5.47 tff(15714,plain,
% 7.30/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v102(constB112)) | (~v1(constB112))))))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15715,plain,
% 7.30/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))),
% 7.30/5.47 inference(modus_ponens,[status(thm)],[15714, 15713])).
% 7.30/5.47 tff(15716,plain,
% 7.30/5.47 (v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112))))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15715, 14799, 453])).
% 7.30/5.47 tff(15717,plain,
% 7.30/5.47 (((~![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)))),
% 7.30/5.47 inference(rewrite,[status(thm)],[])).
% 7.30/5.47 tff(15718,plain,
% 7.30/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112)))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15719,plain,
% 7.30/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB111, constB112)) | ((~v102(constB112)) <=> v104(constB112))),
% 7.30/5.47 inference(modus_ponens,[status(thm)],[15718, 15717])).
% 7.30/5.47 tff(15720,plain,
% 7.30/5.47 ((~v102(constB112)) <=> v104(constB112)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15719, 14799, 3966])).
% 7.30/5.47 tff(15721,plain,
% 7.30/5.47 (((~![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)))),
% 7.30/5.47 inference(rewrite,[status(thm)],[])).
% 7.30/5.47 tff(15722,plain,
% 7.30/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111)))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15723,plain,
% 7.30/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v1(constB111))),
% 7.30/5.47 inference(modus_ponens,[status(thm)],[15722, 15721])).
% 7.30/5.47 tff(15724,plain,
% 7.30/5.47 (v104(constB112) <=> v1(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15723, 14799, 3980])).
% 7.30/5.47 tff(15725,plain,
% 7.30/5.47 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112)) | v1(constB111)),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15726,plain,
% 7.30/5.47 ((~(v104(constB112) <=> v1(constB111))) | (~v104(constB112))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15725, 14838])).
% 7.30/5.47 tff(15727,plain,
% 7.30/5.47 (~v104(constB112)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15726, 15724])).
% 7.30/5.47 tff(15728,plain,
% 7.30/5.47 ((~((~v102(constB112)) <=> v104(constB112))) | v102(constB112) | v104(constB112)),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15729,plain,
% 7.30/5.47 (v102(constB112)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15728, 15727, 15720])).
% 7.30/5.47 tff(15730,plain,
% 7.30/5.47 (v1(constB112) <=> v1(constB112)),
% 7.30/5.47 inference(rewrite,[status(thm)],[])).
% 7.30/5.47 tff(15731,axiom,(v1(constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_112')).
% 7.30/5.47 tff(15732,plain,
% 7.30/5.47 (v1(constB112)),
% 7.30/5.47 inference(modus_ponens,[status(thm)],[15731, 15730])).
% 7.30/5.47 tff(15733,plain,
% 7.30/5.47 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v1(constB112)) | (~v102(constB112))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15734,plain,
% 7.30/5.47 ((~((~v1(constB112)) | (~v102(constB112)))) | (~v102(constB112))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15733, 15732])).
% 7.30/5.47 tff(15735,plain,
% 7.30/5.47 (~((~v1(constB112)) | (~v102(constB112)))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15734, 15729])).
% 7.30/5.47 tff(15736,plain,
% 7.30/5.47 ((~(v101(constB112) <=> (~((~v1(constB112)) | (~v102(constB112)))))) | v101(constB112) | ((~v1(constB112)) | (~v102(constB112)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15737,plain,
% 7.30/5.47 (v101(constB112)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15736, 15735, 15716])).
% 7.30/5.47 tff(15738,plain,
% 7.30/5.47 (((~![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)))),
% 7.30/5.47 inference(rewrite,[status(thm)],[])).
% 7.30/5.47 tff(15739,plain,
% 7.30/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111)))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15740,plain,
% 7.30/5.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB111, constB112)) | (v110(constB112) <=> v108(constB111))),
% 7.30/5.47 inference(modus_ponens,[status(thm)],[15739, 15738])).
% 7.30/5.47 tff(15741,plain,
% 7.30/5.47 (v110(constB112) <=> v108(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15740, 14799, 4007])).
% 7.30/5.47 tff(15742,plain,
% 7.30/5.47 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB111) <=> (v111(constB111) | v112(constB111)))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15743,plain,
% 7.30/5.47 (v108(constB111) <=> (v111(constB111) | v112(constB111))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15742, 4018])).
% 7.30/5.47 tff(15744,plain,
% 7.30/5.47 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15745,plain,
% 7.30/5.47 (v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111))))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15744, 4030])).
% 7.30/5.47 tff(15746,plain,
% 7.30/5.47 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB111) <=> (v114(constB111) | v125(constB111)))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15747,plain,
% 7.30/5.47 (v113(constB111) <=> (v114(constB111) | v125(constB111))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15746, 4039])).
% 7.30/5.47 tff(15748,plain,
% 7.30/5.47 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB111) <=> (v115(constB111) | v124(constB111)))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15749,plain,
% 7.30/5.47 (v114(constB111) <=> (v115(constB111) | v124(constB111))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15748, 4048])).
% 7.30/5.47 tff(15750,plain,
% 7.30/5.47 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB111) <=> (v116(constB111) | v123(constB111)))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15751,plain,
% 7.30/5.47 (v115(constB111) <=> (v116(constB111) | v123(constB111))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15750, 4057])).
% 7.30/5.47 tff(15752,plain,
% 7.30/5.47 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB111) <=> (v117(constB111) | v122(constB111)))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15753,plain,
% 7.30/5.47 (v116(constB111) <=> (v117(constB111) | v122(constB111))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15752, 4066])).
% 7.30/5.47 tff(15754,plain,
% 7.30/5.47 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB111) <=> (v118(constB111) | v121(constB111)))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15755,plain,
% 7.30/5.47 (v117(constB111) <=> (v118(constB111) | v121(constB111))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15754, 4075])).
% 7.30/5.47 tff(15756,plain,
% 7.30/5.47 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB111) <=> (v119(constB111) | v120(constB111)))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15757,plain,
% 7.30/5.47 (v118(constB111) <=> (v119(constB111) | v120(constB111))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15756, 4084])).
% 7.30/5.47 tff(15758,plain,
% 7.30/5.47 ((v119(constB111) | v120(constB111)) | (~v120(constB111))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15759,plain,
% 7.30/5.47 (v119(constB111) | v120(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15758, 15691])).
% 7.30/5.47 tff(15760,plain,
% 7.30/5.47 ((~(v118(constB111) <=> (v119(constB111) | v120(constB111)))) | v118(constB111) | (~(v119(constB111) | v120(constB111)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15761,plain,
% 7.30/5.47 (v118(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15760, 15759, 15757])).
% 7.30/5.47 tff(15762,plain,
% 7.30/5.47 ((v118(constB111) | v121(constB111)) | (~v118(constB111))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15763,plain,
% 7.30/5.47 (v118(constB111) | v121(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15762, 15761])).
% 7.30/5.47 tff(15764,plain,
% 7.30/5.47 ((~(v117(constB111) <=> (v118(constB111) | v121(constB111)))) | v117(constB111) | (~(v118(constB111) | v121(constB111)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15765,plain,
% 7.30/5.47 (v117(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15764, 15763, 15755])).
% 7.30/5.47 tff(15766,plain,
% 7.30/5.47 ((v117(constB111) | v122(constB111)) | (~v117(constB111))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15767,plain,
% 7.30/5.47 (v117(constB111) | v122(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15766, 15765])).
% 7.30/5.47 tff(15768,plain,
% 7.30/5.47 ((~(v116(constB111) <=> (v117(constB111) | v122(constB111)))) | v116(constB111) | (~(v117(constB111) | v122(constB111)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15769,plain,
% 7.30/5.47 (v116(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15768, 15767, 15753])).
% 7.30/5.47 tff(15770,plain,
% 7.30/5.47 ((v116(constB111) | v123(constB111)) | (~v116(constB111))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15771,plain,
% 7.30/5.47 (v116(constB111) | v123(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15770, 15769])).
% 7.30/5.47 tff(15772,plain,
% 7.30/5.47 ((~(v115(constB111) <=> (v116(constB111) | v123(constB111)))) | v115(constB111) | (~(v116(constB111) | v123(constB111)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15773,plain,
% 7.30/5.47 (v115(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15772, 15771, 15751])).
% 7.30/5.47 tff(15774,plain,
% 7.30/5.47 ((v115(constB111) | v124(constB111)) | (~v115(constB111))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15775,plain,
% 7.30/5.47 (v115(constB111) | v124(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15774, 15773])).
% 7.30/5.47 tff(15776,plain,
% 7.30/5.47 ((~(v114(constB111) <=> (v115(constB111) | v124(constB111)))) | v114(constB111) | (~(v115(constB111) | v124(constB111)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15777,plain,
% 7.30/5.47 (v114(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15776, 15775, 15749])).
% 7.30/5.47 tff(15778,plain,
% 7.30/5.47 ((v114(constB111) | v125(constB111)) | (~v114(constB111))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15779,plain,
% 7.30/5.47 (v114(constB111) | v125(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15778, 15777])).
% 7.30/5.47 tff(15780,plain,
% 7.30/5.47 ((~(v113(constB111) <=> (v114(constB111) | v125(constB111)))) | v113(constB111) | (~(v114(constB111) | v125(constB111)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15781,plain,
% 7.30/5.47 (v113(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15780, 15779, 15747])).
% 7.30/5.47 tff(15782,plain,
% 7.30/5.47 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB111)) <=> v111(constB111))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15783,plain,
% 7.30/5.47 ((~v126(constB111)) <=> v111(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15782, 4118])).
% 7.30/5.47 tff(15784,plain,
% 7.30/5.47 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111) | v111(constB111)),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15785,plain,
% 7.30/5.47 ((~((~v126(constB111)) <=> v111(constB111))) | v126(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15784, 14812])).
% 7.30/5.47 tff(15786,plain,
% 7.30/5.47 (v126(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15785, 15783])).
% 7.30/5.47 tff(15787,plain,
% 7.30/5.47 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111)) | (~v126(constB111))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15788,plain,
% 7.30/5.47 ((~((~v113(constB111)) | (~v126(constB111)))) | (~v113(constB111))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15787, 15786])).
% 7.30/5.47 tff(15789,plain,
% 7.30/5.47 (~((~v113(constB111)) | (~v126(constB111)))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15788, 15781])).
% 7.30/5.47 tff(15790,plain,
% 7.30/5.47 ((~(v112(constB111) <=> (~((~v113(constB111)) | (~v126(constB111)))))) | v112(constB111) | ((~v113(constB111)) | (~v126(constB111)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15791,plain,
% 7.30/5.47 (v112(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15790, 15789, 15745])).
% 7.30/5.47 tff(15792,plain,
% 7.30/5.47 ((v111(constB111) | v112(constB111)) | (~v112(constB111))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15793,plain,
% 7.30/5.47 (v111(constB111) | v112(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15792, 15791])).
% 7.30/5.47 tff(15794,plain,
% 7.30/5.47 ((~(v108(constB111) <=> (v111(constB111) | v112(constB111)))) | v108(constB111) | (~(v111(constB111) | v112(constB111)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15795,plain,
% 7.30/5.47 (v108(constB111)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15794, 15793, 15743])).
% 7.30/5.47 tff(15796,plain,
% 7.30/5.47 ((~(v110(constB112) <=> v108(constB111))) | v110(constB112) | (~v108(constB111))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15797,plain,
% 7.30/5.47 (v110(constB112)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15796, 15795, 15741])).
% 7.30/5.47 tff(15798,plain,
% 7.30/5.47 ((~((~v101(constB112)) | (~v110(constB112)))) | (~v101(constB112)) | (~v110(constB112))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15799,plain,
% 7.30/5.47 (~((~v101(constB112)) | (~v110(constB112)))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15798, 15797, 15737])).
% 7.30/5.47 tff(15800,plain,
% 7.30/5.47 ((~(v100(constB112) <=> (~((~v101(constB112)) | (~v110(constB112)))))) | v100(constB112) | ((~v101(constB112)) | (~v110(constB112)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15801,plain,
% 7.30/5.47 (v100(constB112)),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15800, 15799, 15709])).
% 7.30/5.47 tff(15802,plain,
% 7.30/5.47 (((~![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)))))),
% 7.30/5.47 inference(rewrite,[status(thm)],[])).
% 7.30/5.47 tff(15803,plain,
% 7.30/5.47 ((~![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)))))),
% 7.30/5.47 inference(quant_inst,[status(thm)],[])).
% 7.30/5.47 tff(15804,plain,
% 7.30/5.47 ((~![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))))),
% 7.30/5.47 inference(modus_ponens,[status(thm)],[15803, 15802])).
% 7.30/5.47 tff(15805,plain,
% 7.30/5.47 ((~v100(constB112)) | (~(((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0))))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15804, 4151])).
% 7.30/5.47 tff(15806,plain,
% 7.30/5.47 (~(((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0)))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15805, 15801])).
% 7.30/5.47 tff(15807,plain,
% 7.30/5.47 ((((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0))) | (~((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)))),
% 7.30/5.47 inference(tautology,[status(thm)],[])).
% 7.30/5.47 tff(15808,plain,
% 7.30/5.47 (~((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2))),
% 7.30/5.47 inference(unit_resolution,[status(thm)],[15807, 15806])).
% 7.30/5.47 tff(15809,plain,
% 7.30/5.47 (((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | (~v90(constB112, bitIndex2)) | v129(constB112, bitIndex2)),
% 7.36/5.47 inference(tautology,[status(thm)],[])).
% 7.36/5.47 tff(15810,plain,
% 7.36/5.47 (~v90(constB112, bitIndex2)),
% 7.36/5.47 inference(unit_resolution,[status(thm)],[15809, 15808, 15705])).
% 7.36/5.47 tff(15811,plain,
% 7.36/5.47 (((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | (~v90(constB113, bitIndex2)) | v90(constB112, bitIndex2)),
% 7.36/5.47 inference(tautology,[status(thm)],[])).
% 7.36/5.47 tff(15812,plain,
% 7.36/5.47 (~v90(constB113, bitIndex2)),
% 7.36/5.47 inference(unit_resolution,[status(thm)],[15811, 15810, 14796])).
% 7.36/5.47 tff(15813,plain,
% 7.36/5.47 ((((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))) | (~((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)))),
% 7.36/5.47 inference(tautology,[status(thm)],[])).
% 7.36/5.47 tff(15814,plain,
% 7.36/5.47 (~((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))),
% 7.36/5.47 inference(unit_resolution,[status(thm)],[15813, 14794])).
% 7.36/5.47 tff(15815,plain,
% 7.36/5.47 ((((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0))) | (~((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0)))),
% 7.36/5.47 inference(tautology,[status(thm)],[])).
% 7.36/5.47 tff(15816,plain,
% 7.36/5.47 (~((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0))),
% 7.36/5.47 inference(unit_resolution,[status(thm)],[15815, 14803])).
% 7.36/5.47 tff(15817,plain,
% 7.36/5.47 ((((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1))) | (~((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)))),
% 7.36/5.47 inference(tautology,[status(thm)],[])).
% 7.36/5.47 tff(15818,plain,
% 7.36/5.47 (~((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0))),
% 7.36/5.47 inference(unit_resolution,[status(thm)],[15817, 14817])).
% 7.36/5.47 tff(15819,plain,
% 7.36/5.47 ((v130(constB111, bitIndex2) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex1))) | (~v130(constB111, bitIndex0))),
% 7.36/5.47 inference(tautology,[status(thm)],[])).
% 7.36/5.47 tff(15820,plain,
% 7.36/5.47 (~v130(constB111, bitIndex0)),
% 7.36/5.47 inference(unit_resolution,[status(thm)],[15819, 15699])).
% 7.36/5.47 tff(15821,plain,
% 7.36/5.47 (((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)) | (~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 7.36/5.47 inference(tautology,[status(thm)],[])).
% 7.36/5.47 tff(15822,plain,
% 7.36/5.47 (~v127(constB111, bitIndex0)),
% 7.36/5.47 inference(unit_resolution,[status(thm)],[15821, 15820, 15818])).
% 7.36/5.47 tff(15823,plain,
% 7.36/5.47 (((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0)) | (~v129(constB112, bitIndex0)) | v127(constB111, bitIndex0)),
% 7.36/5.47 inference(tautology,[status(thm)],[])).
% 7.36/5.47 tff(15824,plain,
% 7.36/5.47 (~v129(constB112, bitIndex0)),
% 7.36/5.47 inference(unit_resolution,[status(thm)],[15823, 15822, 15816])).
% 7.36/5.47 tff(15825,plain,
% 7.36/5.47 ((((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0))) | (~((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0)))),
% 7.36/5.47 inference(tautology,[status(thm)],[])).
% 7.36/5.47 tff(15826,plain,
% 7.36/5.47 (~((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0))),
% 7.36/5.47 inference(unit_resolution,[status(thm)],[15825, 15806])).
% 7.36/5.47 tff(15827,plain,
% 7.36/5.47 (((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0)) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0)),
% 7.36/5.47 inference(tautology,[status(thm)],[])).
% 7.36/5.47 tff(15828,plain,
% 7.36/5.47 (~v90(constB112, bitIndex0)),
% 7.36/5.47 inference(unit_resolution,[status(thm)],[15827, 15826, 15824])).
% 7.36/5.47 tff(15829,plain,
% 7.36/5.47 (((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0)) | (~v90(constB113, bitIndex0)) | v90(constB112, bitIndex0)),
% 7.36/5.47 inference(tautology,[status(thm)],[])).
% 7.36/5.47 tff(15830,plain,
% 7.36/5.47 (~v90(constB113, bitIndex0)),
% 7.36/5.47 inference(unit_resolution,[status(thm)],[15829, 15828, 15814])).
% 7.36/5.47 tff(15831,plain,
% 7.36/5.47 ((((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | ((~v90(constB113, bitIndex2)) <=> v90(constB112, bitIndex2)) | ((~v90(constB113, bitIndex0)) <=> v90(constB112, bitIndex0))) | (~((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15832,plain,
% 7.36/5.48 (~((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15831, 14794])).
% 7.36/5.48 tff(15833,plain,
% 7.36/5.48 ((((~v129(constB112, bitIndex2)) <=> v127(constB111, bitIndex2)) | ((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | ((~v129(constB112, bitIndex0)) <=> v127(constB111, bitIndex0))) | (~((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15834,plain,
% 7.36/5.48 (~((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15833, 14803])).
% 7.36/5.48 tff(15835,plain,
% 7.36/5.48 ((((~v127(constB111, bitIndex2)) <=> v130(constB111, bitIndex2)) | ((~v127(constB111, bitIndex0)) <=> v130(constB111, bitIndex0)) | ((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1))) | (~((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15836,plain,
% 7.36/5.48 (~((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15835, 14817])).
% 7.36/5.48 tff(15837,plain,
% 7.36/5.48 ((v130(constB111, bitIndex2) | v130(constB111, bitIndex0) | (~v130(constB111, bitIndex1))) | v130(constB111, bitIndex1)),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15838,plain,
% 7.36/5.48 (v130(constB111, bitIndex1)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15837, 15699])).
% 7.36/5.48 tff(15839,plain,
% 7.36/5.48 (((~v127(constB111, bitIndex1)) <=> v130(constB111, bitIndex1)) | v127(constB111, bitIndex1) | (~v130(constB111, bitIndex1))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15840,plain,
% 7.36/5.48 (v127(constB111, bitIndex1)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15839, 15838, 15836])).
% 7.36/5.48 tff(15841,plain,
% 7.36/5.48 (((~v129(constB112, bitIndex1)) <=> v127(constB111, bitIndex1)) | v129(constB112, bitIndex1) | (~v127(constB111, bitIndex1))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15842,plain,
% 7.36/5.48 (v129(constB112, bitIndex1)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15841, 15840, 15834])).
% 7.36/5.48 tff(15843,plain,
% 7.36/5.48 ((((~v90(constB112, bitIndex2)) <=> v129(constB112, bitIndex2)) | ((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | ((~v90(constB112, bitIndex0)) <=> v129(constB112, bitIndex0))) | (~((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15844,plain,
% 7.36/5.48 (~((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15843, 15806])).
% 7.36/5.48 tff(15845,plain,
% 7.36/5.48 (((~v90(constB112, bitIndex1)) <=> v129(constB112, bitIndex1)) | v90(constB112, bitIndex1) | (~v129(constB112, bitIndex1))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15846,plain,
% 7.36/5.48 (v90(constB112, bitIndex1)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15845, 15844, 15842])).
% 7.36/5.48 tff(15847,plain,
% 7.36/5.48 (((~v90(constB113, bitIndex1)) <=> v90(constB112, bitIndex1)) | v90(constB113, bitIndex1) | (~v90(constB112, bitIndex1))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15848,plain,
% 7.36/5.48 (v90(constB113, bitIndex1)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15847, 15846, 15832])).
% 7.36/5.48 tff(15849,plain,
% 7.36/5.48 ((~(v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)))) | v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15850,plain,
% 7.36/5.48 (~(v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15849, 15848, 15830, 15812])).
% 7.36/5.48 tff(15851,plain,
% 7.36/5.48 ((~(v121(constB113) <=> (~(v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)))))) | v121(constB113) | (v90(constB113, bitIndex2) | v90(constB113, bitIndex0) | (~v90(constB113, bitIndex1)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15852,plain,
% 7.36/5.48 (v121(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15851, 15850, 14760])).
% 7.36/5.48 tff(15853,plain,
% 7.36/5.48 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB113)) | (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex0)) | (~v130(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB113)) | (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex0)) | (~v130(constB113, bitIndex1)))))),
% 7.36/5.48 inference(rewrite,[status(thm)],[])).
% 7.36/5.48 tff(15854,plain,
% 7.36/5.48 (((~v121(constB113)) | (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex1)) | (~v130(constB113, bitIndex0))))) <=> ((~v121(constB113)) | (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex0)) | (~v130(constB113, bitIndex1)))))),
% 7.36/5.48 inference(rewrite,[status(thm)],[])).
% 7.36/5.48 tff(15855,plain,
% 7.36/5.48 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB113)) | (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex1)) | (~v130(constB113, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB113)) | (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex0)) | (~v130(constB113, bitIndex1))))))),
% 7.36/5.48 inference(monotonicity,[status(thm)],[15854])).
% 7.36/5.48 tff(15856,plain,
% 7.36/5.48 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB113)) | (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex1)) | (~v130(constB113, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB113)) | (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex0)) | (~v130(constB113, bitIndex1)))))),
% 7.36/5.48 inference(transitivity,[status(thm)],[15855, 15853])).
% 7.36/5.48 tff(15857,plain,
% 7.36/5.48 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB113)) | (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex1)) | (~v130(constB113, bitIndex0)))))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15858,plain,
% 7.36/5.48 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB113)) | (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex0)) | (~v130(constB113, bitIndex1))))),
% 7.36/5.48 inference(modus_ponens,[status(thm)],[15857, 15856])).
% 7.36/5.48 tff(15859,plain,
% 7.36/5.48 ((~v121(constB113)) | (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex0)) | (~v130(constB113, bitIndex1))))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15858, 4392])).
% 7.36/5.48 tff(15860,plain,
% 7.36/5.48 (~(v130(constB113, bitIndex2) | (~v130(constB113, bitIndex0)) | (~v130(constB113, bitIndex1)))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15859, 15852])).
% 7.36/5.48 tff(15861,plain,
% 7.36/5.48 ((v130(constB113, bitIndex2) | (~v130(constB113, bitIndex0)) | (~v130(constB113, bitIndex1))) | (~v130(constB113, bitIndex2))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15862,plain,
% 7.36/5.48 (~v130(constB113, bitIndex2)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15861, 15860])).
% 7.36/5.48 tff(15863,plain,
% 7.36/5.48 (((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | (~v127(constB113, bitIndex2)) | v130(constB113, bitIndex2)),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15864,plain,
% 7.36/5.48 (~v127(constB113, bitIndex2)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15863, 15862, 14753])).
% 7.36/5.48 tff(15865,plain,
% 7.36/5.48 (((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | (~v129(constB114, bitIndex2)) | v127(constB113, bitIndex2)),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15866,plain,
% 7.36/5.48 (~v129(constB114, bitIndex2)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15865, 15864, 14739])).
% 7.36/5.48 tff(15867,plain,
% 7.36/5.48 (((~![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))))))),
% 7.36/5.48 inference(rewrite,[status(thm)],[])).
% 7.36/5.48 tff(15868,plain,
% 7.36/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15869,plain,
% 7.36/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB113, constB114)) | (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))),
% 7.36/5.48 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 7.36/5.48 tff(15870,plain,
% 7.36/5.48 (v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114))))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15869, 14733, 433])).
% 7.36/5.48 tff(15871,plain,
% 7.36/5.48 (((~![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))))))),
% 7.36/5.48 inference(rewrite,[status(thm)],[])).
% 7.36/5.48 tff(15872,plain,
% 7.36/5.48 (((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114)))))) <=> ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))))),
% 7.36/5.48 inference(rewrite,[status(thm)],[])).
% 7.36/5.48 tff(15873,plain,
% 7.36/5.48 (((~![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)))))))),
% 7.36/5.48 inference(monotonicity,[status(thm)],[15872])).
% 7.36/5.48 tff(15874,plain,
% 7.36/5.48 (((~![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))))))),
% 7.36/5.48 inference(transitivity,[status(thm)],[15873, 15871])).
% 7.36/5.48 tff(15875,plain,
% 7.36/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v102(constB114)) | (~v1(constB114))))))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15876,plain,
% 7.36/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))),
% 7.36/5.48 inference(modus_ponens,[status(thm)],[15875, 15874])).
% 7.36/5.48 tff(15877,plain,
% 7.36/5.48 (v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114))))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15876, 14733, 453])).
% 7.36/5.48 tff(15878,plain,
% 7.36/5.48 (((~![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)))),
% 7.36/5.48 inference(rewrite,[status(thm)],[])).
% 7.36/5.48 tff(15879,plain,
% 7.36/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114)))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15880,plain,
% 7.36/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB113, constB114)) | ((~v102(constB114)) <=> v104(constB114))),
% 7.36/5.48 inference(modus_ponens,[status(thm)],[15879, 15878])).
% 7.36/5.48 tff(15881,plain,
% 7.36/5.48 ((~v102(constB114)) <=> v104(constB114)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15880, 14733, 3966])).
% 7.36/5.48 tff(15882,plain,
% 7.36/5.48 (((~![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)))),
% 7.36/5.48 inference(rewrite,[status(thm)],[])).
% 7.36/5.48 tff(15883,plain,
% 7.36/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113)))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15884,plain,
% 7.36/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v1(constB113))),
% 7.36/5.48 inference(modus_ponens,[status(thm)],[15883, 15882])).
% 7.36/5.48 tff(15885,plain,
% 7.36/5.48 (v104(constB114) <=> v1(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15884, 14733, 3980])).
% 7.36/5.48 tff(15886,plain,
% 7.36/5.48 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114)) | v1(constB113)),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15887,plain,
% 7.36/5.48 ((~(v104(constB114) <=> v1(constB113))) | (~v104(constB114))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15886, 14777])).
% 7.36/5.48 tff(15888,plain,
% 7.36/5.48 (~v104(constB114)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15887, 15885])).
% 7.36/5.48 tff(15889,plain,
% 7.36/5.48 ((~((~v102(constB114)) <=> v104(constB114))) | v102(constB114) | v104(constB114)),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15890,plain,
% 7.36/5.48 (v102(constB114)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15889, 15888, 15881])).
% 7.36/5.48 tff(15891,plain,
% 7.36/5.48 (v1(constB114) <=> v1(constB114)),
% 7.36/5.48 inference(rewrite,[status(thm)],[])).
% 7.36/5.48 tff(15892,axiom,(v1(constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_114')).
% 7.36/5.48 tff(15893,plain,
% 7.36/5.48 (v1(constB114)),
% 7.36/5.48 inference(modus_ponens,[status(thm)],[15892, 15891])).
% 7.36/5.48 tff(15894,plain,
% 7.36/5.48 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v1(constB114)) | (~v102(constB114))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15895,plain,
% 7.36/5.48 ((~((~v1(constB114)) | (~v102(constB114)))) | (~v102(constB114))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15894, 15893])).
% 7.36/5.48 tff(15896,plain,
% 7.36/5.48 (~((~v1(constB114)) | (~v102(constB114)))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15895, 15890])).
% 7.36/5.48 tff(15897,plain,
% 7.36/5.48 ((~(v101(constB114) <=> (~((~v1(constB114)) | (~v102(constB114)))))) | v101(constB114) | ((~v1(constB114)) | (~v102(constB114)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15898,plain,
% 7.36/5.48 (v101(constB114)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15897, 15896, 15877])).
% 7.36/5.48 tff(15899,plain,
% 7.36/5.48 (((~![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)))),
% 7.36/5.48 inference(rewrite,[status(thm)],[])).
% 7.36/5.48 tff(15900,plain,
% 7.36/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113)))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15901,plain,
% 7.36/5.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB113, constB114)) | (v110(constB114) <=> v108(constB113))),
% 7.36/5.48 inference(modus_ponens,[status(thm)],[15900, 15899])).
% 7.36/5.48 tff(15902,plain,
% 7.36/5.48 (v110(constB114) <=> v108(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15901, 14733, 4007])).
% 7.36/5.48 tff(15903,plain,
% 7.36/5.48 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB113) <=> (v111(constB113) | v112(constB113)))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15904,plain,
% 7.36/5.48 (v108(constB113) <=> (v111(constB113) | v112(constB113))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15903, 4018])).
% 7.36/5.48 tff(15905,plain,
% 7.36/5.48 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15906,plain,
% 7.36/5.48 (v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113))))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15905, 4030])).
% 7.36/5.48 tff(15907,plain,
% 7.36/5.48 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB113) <=> (v114(constB113) | v125(constB113)))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15908,plain,
% 7.36/5.48 (v113(constB113) <=> (v114(constB113) | v125(constB113))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15907, 4039])).
% 7.36/5.48 tff(15909,plain,
% 7.36/5.48 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB113) <=> (v115(constB113) | v124(constB113)))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15910,plain,
% 7.36/5.48 (v114(constB113) <=> (v115(constB113) | v124(constB113))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15909, 4048])).
% 7.36/5.48 tff(15911,plain,
% 7.36/5.48 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB113) <=> (v116(constB113) | v123(constB113)))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15912,plain,
% 7.36/5.48 (v115(constB113) <=> (v116(constB113) | v123(constB113))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15911, 4057])).
% 7.36/5.48 tff(15913,plain,
% 7.36/5.48 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB113) <=> (v117(constB113) | v122(constB113)))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15914,plain,
% 7.36/5.48 (v116(constB113) <=> (v117(constB113) | v122(constB113))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15913, 4066])).
% 7.36/5.48 tff(15915,plain,
% 7.36/5.48 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB113) <=> (v118(constB113) | v121(constB113)))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15916,plain,
% 7.36/5.48 (v117(constB113) <=> (v118(constB113) | v121(constB113))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15915, 4075])).
% 7.36/5.48 tff(15917,plain,
% 7.36/5.48 ((v118(constB113) | v121(constB113)) | (~v121(constB113))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15918,plain,
% 7.36/5.48 (v118(constB113) | v121(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15917, 15852])).
% 7.36/5.48 tff(15919,plain,
% 7.36/5.48 ((~(v117(constB113) <=> (v118(constB113) | v121(constB113)))) | v117(constB113) | (~(v118(constB113) | v121(constB113)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15920,plain,
% 7.36/5.48 (v117(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15919, 15918, 15916])).
% 7.36/5.48 tff(15921,plain,
% 7.36/5.48 ((v117(constB113) | v122(constB113)) | (~v117(constB113))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15922,plain,
% 7.36/5.48 (v117(constB113) | v122(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15921, 15920])).
% 7.36/5.48 tff(15923,plain,
% 7.36/5.48 ((~(v116(constB113) <=> (v117(constB113) | v122(constB113)))) | v116(constB113) | (~(v117(constB113) | v122(constB113)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15924,plain,
% 7.36/5.48 (v116(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15923, 15922, 15914])).
% 7.36/5.48 tff(15925,plain,
% 7.36/5.48 ((v116(constB113) | v123(constB113)) | (~v116(constB113))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15926,plain,
% 7.36/5.48 (v116(constB113) | v123(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15925, 15924])).
% 7.36/5.48 tff(15927,plain,
% 7.36/5.48 ((~(v115(constB113) <=> (v116(constB113) | v123(constB113)))) | v115(constB113) | (~(v116(constB113) | v123(constB113)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15928,plain,
% 7.36/5.48 (v115(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15927, 15926, 15912])).
% 7.36/5.48 tff(15929,plain,
% 7.36/5.48 ((v115(constB113) | v124(constB113)) | (~v115(constB113))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15930,plain,
% 7.36/5.48 (v115(constB113) | v124(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15929, 15928])).
% 7.36/5.48 tff(15931,plain,
% 7.36/5.48 ((~(v114(constB113) <=> (v115(constB113) | v124(constB113)))) | v114(constB113) | (~(v115(constB113) | v124(constB113)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15932,plain,
% 7.36/5.48 (v114(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15931, 15930, 15910])).
% 7.36/5.48 tff(15933,plain,
% 7.36/5.48 ((v114(constB113) | v125(constB113)) | (~v114(constB113))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15934,plain,
% 7.36/5.48 (v114(constB113) | v125(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15933, 15932])).
% 7.36/5.48 tff(15935,plain,
% 7.36/5.48 ((~(v113(constB113) <=> (v114(constB113) | v125(constB113)))) | v113(constB113) | (~(v114(constB113) | v125(constB113)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15936,plain,
% 7.36/5.48 (v113(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15935, 15934, 15908])).
% 7.36/5.48 tff(15937,plain,
% 7.36/5.48 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB113)) <=> v111(constB113))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15938,plain,
% 7.36/5.48 ((~v126(constB113)) <=> v111(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15937, 4118])).
% 7.36/5.48 tff(15939,plain,
% 7.36/5.48 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113) | v111(constB113)),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15940,plain,
% 7.36/5.48 ((~((~v126(constB113)) <=> v111(constB113))) | v126(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15939, 14746])).
% 7.36/5.48 tff(15941,plain,
% 7.36/5.48 (v126(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15940, 15938])).
% 7.36/5.48 tff(15942,plain,
% 7.36/5.48 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113)) | (~v126(constB113))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15943,plain,
% 7.36/5.48 ((~((~v113(constB113)) | (~v126(constB113)))) | (~v113(constB113))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15942, 15941])).
% 7.36/5.48 tff(15944,plain,
% 7.36/5.48 (~((~v113(constB113)) | (~v126(constB113)))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15943, 15936])).
% 7.36/5.48 tff(15945,plain,
% 7.36/5.48 ((~(v112(constB113) <=> (~((~v113(constB113)) | (~v126(constB113)))))) | v112(constB113) | ((~v113(constB113)) | (~v126(constB113)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15946,plain,
% 7.36/5.48 (v112(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15945, 15944, 15906])).
% 7.36/5.48 tff(15947,plain,
% 7.36/5.48 ((v111(constB113) | v112(constB113)) | (~v112(constB113))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15948,plain,
% 7.36/5.48 (v111(constB113) | v112(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15947, 15946])).
% 7.36/5.48 tff(15949,plain,
% 7.36/5.48 ((~(v108(constB113) <=> (v111(constB113) | v112(constB113)))) | v108(constB113) | (~(v111(constB113) | v112(constB113)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15950,plain,
% 7.36/5.48 (v108(constB113)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15949, 15948, 15904])).
% 7.36/5.48 tff(15951,plain,
% 7.36/5.48 ((~(v110(constB114) <=> v108(constB113))) | v110(constB114) | (~v108(constB113))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15952,plain,
% 7.36/5.48 (v110(constB114)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15951, 15950, 15902])).
% 7.36/5.48 tff(15953,plain,
% 7.36/5.48 ((~((~v101(constB114)) | (~v110(constB114)))) | (~v101(constB114)) | (~v110(constB114))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15954,plain,
% 7.36/5.48 (~((~v101(constB114)) | (~v110(constB114)))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15953, 15952, 15898])).
% 7.36/5.48 tff(15955,plain,
% 7.36/5.48 ((~(v100(constB114) <=> (~((~v101(constB114)) | (~v110(constB114)))))) | v100(constB114) | ((~v101(constB114)) | (~v110(constB114)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15956,plain,
% 7.36/5.48 (v100(constB114)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15955, 15954, 15870])).
% 7.36/5.48 tff(15957,plain,
% 7.36/5.48 (((~![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)))))),
% 7.36/5.48 inference(rewrite,[status(thm)],[])).
% 7.36/5.48 tff(15958,plain,
% 7.36/5.48 (((~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)))))),
% 7.36/5.48 inference(rewrite,[status(thm)],[])).
% 7.36/5.48 tff(15959,plain,
% 7.36/5.48 (((~![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))))))),
% 7.36/5.48 inference(monotonicity,[status(thm)],[15958])).
% 7.36/5.48 tff(15960,plain,
% 7.36/5.48 (((~![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)))))),
% 7.36/5.48 inference(transitivity,[status(thm)],[15959, 15957])).
% 7.36/5.48 tff(15961,plain,
% 7.36/5.48 ((~![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)))))),
% 7.36/5.48 inference(quant_inst,[status(thm)],[])).
% 7.36/5.48 tff(15962,plain,
% 7.36/5.48 ((~![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))))),
% 7.36/5.48 inference(modus_ponens,[status(thm)],[15961, 15960])).
% 7.36/5.48 tff(15963,plain,
% 7.36/5.48 ((~v100(constB114)) | (~(((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15962, 4151])).
% 7.36/5.48 tff(15964,plain,
% 7.36/5.48 (~(((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15963, 15956])).
% 7.36/5.48 tff(15965,plain,
% 7.36/5.48 ((((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))) | (~((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15966,plain,
% 7.36/5.48 (~((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15965, 15964])).
% 7.36/5.48 tff(15967,plain,
% 7.36/5.48 (((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | (~v90(constB114, bitIndex2)) | v129(constB114, bitIndex2)),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15968,plain,
% 7.36/5.48 (~v90(constB114, bitIndex2)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15967, 15966, 15866])).
% 7.36/5.48 tff(15969,plain,
% 7.36/5.48 (((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | (~v90(constB115, bitIndex2)) | v90(constB114, bitIndex2)),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15970,plain,
% 7.36/5.48 (~v90(constB115, bitIndex2)),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15969, 15968, 14730])).
% 7.36/5.48 tff(15971,plain,
% 7.36/5.48 ((((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))) | (~((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15972,plain,
% 7.36/5.48 (~((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15971, 14728])).
% 7.36/5.48 tff(15973,plain,
% 7.36/5.48 ((((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0))) | (~((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15974,plain,
% 7.36/5.48 (~((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15973, 14737])).
% 7.36/5.48 tff(15975,plain,
% 7.36/5.48 ((((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1))) | (~((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)))),
% 7.36/5.48 inference(tautology,[status(thm)],[])).
% 7.36/5.48 tff(15976,plain,
% 7.36/5.48 (~((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0))),
% 7.36/5.48 inference(unit_resolution,[status(thm)],[15975, 14751])).
% 7.36/5.48 tff(15977,plain,
% 7.36/5.48 ((v130(constB113, bitIndex2) | (~v130(constB113, bitIndex0)) | (~v130(constB113, bitIndex1))) | v130(constB113, bitIndex0)),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(15978,plain,
% 7.36/5.49 (v130(constB113, bitIndex0)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15977, 15860])).
% 7.36/5.49 tff(15979,plain,
% 7.36/5.49 (((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)) | v127(constB113, bitIndex0) | (~v130(constB113, bitIndex0))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(15980,plain,
% 7.36/5.49 (v127(constB113, bitIndex0)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15979, 15978, 15976])).
% 7.36/5.49 tff(15981,plain,
% 7.36/5.49 (((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0)) | v129(constB114, bitIndex0) | (~v127(constB113, bitIndex0))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(15982,plain,
% 7.36/5.49 (v129(constB114, bitIndex0)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15981, 15980, 15974])).
% 7.36/5.49 tff(15983,plain,
% 7.36/5.49 ((((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))) | (~((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(15984,plain,
% 7.36/5.49 (~((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15983, 15964])).
% 7.36/5.49 tff(15985,plain,
% 7.36/5.49 (((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | v90(constB114, bitIndex0) | (~v129(constB114, bitIndex0))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(15986,plain,
% 7.36/5.49 (v90(constB114, bitIndex0)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15985, 15984, 15982])).
% 7.36/5.49 tff(15987,plain,
% 7.36/5.49 (((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0)) | v90(constB115, bitIndex0) | (~v90(constB114, bitIndex0))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(15988,plain,
% 7.36/5.49 (v90(constB115, bitIndex0)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15987, 15986, 15972])).
% 7.36/5.49 tff(15989,plain,
% 7.36/5.49 ((((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | ((~v90(constB115, bitIndex2)) <=> v90(constB114, bitIndex2)) | ((~v90(constB115, bitIndex0)) <=> v90(constB114, bitIndex0))) | (~((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(15990,plain,
% 7.36/5.49 (~((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15989, 14728])).
% 7.36/5.49 tff(15991,plain,
% 7.36/5.49 ((((~v129(constB114, bitIndex2)) <=> v127(constB113, bitIndex2)) | ((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | ((~v129(constB114, bitIndex0)) <=> v127(constB113, bitIndex0))) | (~((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(15992,plain,
% 7.36/5.49 (~((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15991, 14737])).
% 7.36/5.49 tff(15993,plain,
% 7.36/5.49 ((((~v127(constB113, bitIndex2)) <=> v130(constB113, bitIndex2)) | ((~v127(constB113, bitIndex0)) <=> v130(constB113, bitIndex0)) | ((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1))) | (~((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(15994,plain,
% 7.36/5.49 (~((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15993, 14751])).
% 7.36/5.49 tff(15995,plain,
% 7.36/5.49 ((v130(constB113, bitIndex2) | (~v130(constB113, bitIndex0)) | (~v130(constB113, bitIndex1))) | v130(constB113, bitIndex1)),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(15996,plain,
% 7.36/5.49 (v130(constB113, bitIndex1)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15995, 15860])).
% 7.36/5.49 tff(15997,plain,
% 7.36/5.49 (((~v127(constB113, bitIndex1)) <=> v130(constB113, bitIndex1)) | v127(constB113, bitIndex1) | (~v130(constB113, bitIndex1))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(15998,plain,
% 7.36/5.49 (v127(constB113, bitIndex1)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15997, 15996, 15994])).
% 7.36/5.49 tff(15999,plain,
% 7.36/5.49 (((~v129(constB114, bitIndex1)) <=> v127(constB113, bitIndex1)) | v129(constB114, bitIndex1) | (~v127(constB113, bitIndex1))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16000,plain,
% 7.36/5.49 (v129(constB114, bitIndex1)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[15999, 15998, 15992])).
% 7.36/5.49 tff(16001,plain,
% 7.36/5.49 ((((~v90(constB114, bitIndex0)) <=> v129(constB114, bitIndex0)) | ((~v90(constB114, bitIndex2)) <=> v129(constB114, bitIndex2)) | ((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))) | (~((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16002,plain,
% 7.36/5.49 (~((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16001, 15964])).
% 7.36/5.49 tff(16003,plain,
% 7.36/5.49 (((~v90(constB114, bitIndex1)) <=> v129(constB114, bitIndex1)) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16004,plain,
% 7.36/5.49 (v90(constB114, bitIndex1)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16003, 16002, 16000])).
% 7.36/5.49 tff(16005,plain,
% 7.36/5.49 (((~v90(constB115, bitIndex1)) <=> v90(constB114, bitIndex1)) | v90(constB115, bitIndex1) | (~v90(constB114, bitIndex1))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16006,plain,
% 7.36/5.49 (v90(constB115, bitIndex1)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16005, 16004, 15990])).
% 7.36/5.49 tff(16007,plain,
% 7.36/5.49 ((~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))) | v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16008,plain,
% 7.36/5.49 (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16007, 16006, 15988, 15970])).
% 7.36/5.49 tff(16009,plain,
% 7.36/5.49 ((~(v122(constB115) <=> (~(v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))))) | v122(constB115) | (v90(constB115, bitIndex2) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex0)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16010,plain,
% 7.36/5.49 (v122(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16009, 16008, 14694])).
% 7.36/5.49 tff(16011,plain,
% 7.36/5.49 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB115)) | (~(v130(constB115, bitIndex0) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB115)) | (~(v130(constB115, bitIndex0) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex2)))))),
% 7.36/5.49 inference(rewrite,[status(thm)],[])).
% 7.36/5.49 tff(16012,plain,
% 7.36/5.49 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB115)) | (~(v130(constB115, bitIndex0) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex2)))))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16013,plain,
% 7.36/5.49 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB115)) | (~(v130(constB115, bitIndex0) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex2))))),
% 7.36/5.49 inference(modus_ponens,[status(thm)],[16012, 16011])).
% 7.36/5.49 tff(16014,plain,
% 7.36/5.49 ((~v122(constB115)) | (~(v130(constB115, bitIndex0) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex2))))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16013, 4563])).
% 7.36/5.49 tff(16015,plain,
% 7.36/5.49 (~(v130(constB115, bitIndex0) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex2)))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16014, 16010])).
% 7.36/5.49 tff(16016,plain,
% 7.36/5.49 ((v130(constB115, bitIndex0) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex2))) | v130(constB115, bitIndex2)),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16017,plain,
% 7.36/5.49 (v130(constB115, bitIndex2)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16016, 16015])).
% 7.36/5.49 tff(16018,plain,
% 7.36/5.49 (((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | v127(constB115, bitIndex2) | (~v130(constB115, bitIndex2))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16019,plain,
% 7.36/5.49 (v127(constB115, bitIndex2)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16018, 16017, 14687])).
% 7.36/5.49 tff(16020,plain,
% 7.36/5.49 (((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | v129(constB116, bitIndex2) | (~v127(constB115, bitIndex2))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16021,plain,
% 7.36/5.49 (v129(constB116, bitIndex2)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16020, 16019, 14673])).
% 7.36/5.49 tff(16022,plain,
% 7.36/5.49 (((~![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))))))),
% 7.36/5.49 inference(rewrite,[status(thm)],[])).
% 7.36/5.49 tff(16023,plain,
% 7.36/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16024,plain,
% 7.36/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB115, constB116)) | (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))),
% 7.36/5.49 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 7.36/5.49 tff(16025,plain,
% 7.36/5.49 (v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116))))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16024, 14667, 433])).
% 7.36/5.49 tff(16026,plain,
% 7.36/5.49 (((~![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))))))),
% 7.36/5.49 inference(rewrite,[status(thm)],[])).
% 7.36/5.49 tff(16027,plain,
% 7.36/5.49 (((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116)))))) <=> ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))))),
% 7.36/5.49 inference(rewrite,[status(thm)],[])).
% 7.36/5.49 tff(16028,plain,
% 7.36/5.49 (((~![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)))))))),
% 7.36/5.49 inference(monotonicity,[status(thm)],[16027])).
% 7.36/5.49 tff(16029,plain,
% 7.36/5.49 (((~![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))))))),
% 7.36/5.49 inference(transitivity,[status(thm)],[16028, 16026])).
% 7.36/5.49 tff(16030,plain,
% 7.36/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v102(constB116)) | (~v1(constB116))))))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16031,plain,
% 7.36/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))),
% 7.36/5.49 inference(modus_ponens,[status(thm)],[16030, 16029])).
% 7.36/5.49 tff(16032,plain,
% 7.36/5.49 (v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116))))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16031, 14667, 453])).
% 7.36/5.49 tff(16033,plain,
% 7.36/5.49 (((~![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)))),
% 7.36/5.49 inference(rewrite,[status(thm)],[])).
% 7.36/5.49 tff(16034,plain,
% 7.36/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116)))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16035,plain,
% 7.36/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB115, constB116)) | ((~v102(constB116)) <=> v104(constB116))),
% 7.36/5.49 inference(modus_ponens,[status(thm)],[16034, 16033])).
% 7.36/5.49 tff(16036,plain,
% 7.36/5.49 ((~v102(constB116)) <=> v104(constB116)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16035, 14667, 3966])).
% 7.36/5.49 tff(16037,plain,
% 7.36/5.49 (((~![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)))),
% 7.36/5.49 inference(rewrite,[status(thm)],[])).
% 7.36/5.49 tff(16038,plain,
% 7.36/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115)))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16039,plain,
% 7.36/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v1(constB115))),
% 7.36/5.49 inference(modus_ponens,[status(thm)],[16038, 16037])).
% 7.36/5.49 tff(16040,plain,
% 7.36/5.49 (v104(constB116) <=> v1(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16039, 14667, 3980])).
% 7.36/5.49 tff(16041,plain,
% 7.36/5.49 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116)) | v1(constB115)),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16042,plain,
% 7.36/5.49 ((~(v104(constB116) <=> v1(constB115))) | (~v104(constB116))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16041, 14711])).
% 7.36/5.49 tff(16043,plain,
% 7.36/5.49 (~v104(constB116)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16042, 16040])).
% 7.36/5.49 tff(16044,plain,
% 7.36/5.49 ((~((~v102(constB116)) <=> v104(constB116))) | v102(constB116) | v104(constB116)),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16045,plain,
% 7.36/5.49 (v102(constB116)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16044, 16043, 16036])).
% 7.36/5.49 tff(16046,plain,
% 7.36/5.49 (v1(constB116) <=> v1(constB116)),
% 7.36/5.49 inference(rewrite,[status(thm)],[])).
% 7.36/5.49 tff(16047,axiom,(v1(constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_116')).
% 7.36/5.49 tff(16048,plain,
% 7.36/5.49 (v1(constB116)),
% 7.36/5.49 inference(modus_ponens,[status(thm)],[16047, 16046])).
% 7.36/5.49 tff(16049,plain,
% 7.36/5.49 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v1(constB116)) | (~v102(constB116))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16050,plain,
% 7.36/5.49 ((~((~v1(constB116)) | (~v102(constB116)))) | (~v102(constB116))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16049, 16048])).
% 7.36/5.49 tff(16051,plain,
% 7.36/5.49 (~((~v1(constB116)) | (~v102(constB116)))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16050, 16045])).
% 7.36/5.49 tff(16052,plain,
% 7.36/5.49 ((~(v101(constB116) <=> (~((~v1(constB116)) | (~v102(constB116)))))) | v101(constB116) | ((~v1(constB116)) | (~v102(constB116)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16053,plain,
% 7.36/5.49 (v101(constB116)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16052, 16051, 16032])).
% 7.36/5.49 tff(16054,plain,
% 7.36/5.49 (((~![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)))),
% 7.36/5.49 inference(rewrite,[status(thm)],[])).
% 7.36/5.49 tff(16055,plain,
% 7.36/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115)))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16056,plain,
% 7.36/5.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB115, constB116)) | (v110(constB116) <=> v108(constB115))),
% 7.36/5.49 inference(modus_ponens,[status(thm)],[16055, 16054])).
% 7.36/5.49 tff(16057,plain,
% 7.36/5.49 (v110(constB116) <=> v108(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16056, 14667, 4007])).
% 7.36/5.49 tff(16058,plain,
% 7.36/5.49 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB115) <=> (v111(constB115) | v112(constB115)))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16059,plain,
% 7.36/5.49 (v108(constB115) <=> (v111(constB115) | v112(constB115))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16058, 4018])).
% 7.36/5.49 tff(16060,plain,
% 7.36/5.49 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16061,plain,
% 7.36/5.49 (v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115))))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16060, 4030])).
% 7.36/5.49 tff(16062,plain,
% 7.36/5.49 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB115) <=> (v114(constB115) | v125(constB115)))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16063,plain,
% 7.36/5.49 (v113(constB115) <=> (v114(constB115) | v125(constB115))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16062, 4039])).
% 7.36/5.49 tff(16064,plain,
% 7.36/5.49 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB115) <=> (v115(constB115) | v124(constB115)))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16065,plain,
% 7.36/5.49 (v114(constB115) <=> (v115(constB115) | v124(constB115))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16064, 4048])).
% 7.36/5.49 tff(16066,plain,
% 7.36/5.49 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB115) <=> (v116(constB115) | v123(constB115)))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16067,plain,
% 7.36/5.49 (v115(constB115) <=> (v116(constB115) | v123(constB115))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16066, 4057])).
% 7.36/5.49 tff(16068,plain,
% 7.36/5.49 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB115) <=> (v117(constB115) | v122(constB115)))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16069,plain,
% 7.36/5.49 (v116(constB115) <=> (v117(constB115) | v122(constB115))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16068, 4066])).
% 7.36/5.49 tff(16070,plain,
% 7.36/5.49 ((v117(constB115) | v122(constB115)) | (~v122(constB115))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16071,plain,
% 7.36/5.49 (v117(constB115) | v122(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16070, 16010])).
% 7.36/5.49 tff(16072,plain,
% 7.36/5.49 ((~(v116(constB115) <=> (v117(constB115) | v122(constB115)))) | v116(constB115) | (~(v117(constB115) | v122(constB115)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16073,plain,
% 7.36/5.49 (v116(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16072, 16071, 16069])).
% 7.36/5.49 tff(16074,plain,
% 7.36/5.49 ((v116(constB115) | v123(constB115)) | (~v116(constB115))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16075,plain,
% 7.36/5.49 (v116(constB115) | v123(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16074, 16073])).
% 7.36/5.49 tff(16076,plain,
% 7.36/5.49 ((~(v115(constB115) <=> (v116(constB115) | v123(constB115)))) | v115(constB115) | (~(v116(constB115) | v123(constB115)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16077,plain,
% 7.36/5.49 (v115(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16076, 16075, 16067])).
% 7.36/5.49 tff(16078,plain,
% 7.36/5.49 ((v115(constB115) | v124(constB115)) | (~v115(constB115))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16079,plain,
% 7.36/5.49 (v115(constB115) | v124(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16078, 16077])).
% 7.36/5.49 tff(16080,plain,
% 7.36/5.49 ((~(v114(constB115) <=> (v115(constB115) | v124(constB115)))) | v114(constB115) | (~(v115(constB115) | v124(constB115)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16081,plain,
% 7.36/5.49 (v114(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16080, 16079, 16065])).
% 7.36/5.49 tff(16082,plain,
% 7.36/5.49 ((v114(constB115) | v125(constB115)) | (~v114(constB115))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16083,plain,
% 7.36/5.49 (v114(constB115) | v125(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16082, 16081])).
% 7.36/5.49 tff(16084,plain,
% 7.36/5.49 ((~(v113(constB115) <=> (v114(constB115) | v125(constB115)))) | v113(constB115) | (~(v114(constB115) | v125(constB115)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16085,plain,
% 7.36/5.49 (v113(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16084, 16083, 16063])).
% 7.36/5.49 tff(16086,plain,
% 7.36/5.49 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB115)) <=> v111(constB115))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16087,plain,
% 7.36/5.49 ((~v126(constB115)) <=> v111(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16086, 4118])).
% 7.36/5.49 tff(16088,plain,
% 7.36/5.49 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115) | v111(constB115)),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16089,plain,
% 7.36/5.49 ((~((~v126(constB115)) <=> v111(constB115))) | v126(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16088, 14680])).
% 7.36/5.49 tff(16090,plain,
% 7.36/5.49 (v126(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16089, 16087])).
% 7.36/5.49 tff(16091,plain,
% 7.36/5.49 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115)) | (~v126(constB115))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16092,plain,
% 7.36/5.49 ((~((~v113(constB115)) | (~v126(constB115)))) | (~v113(constB115))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16091, 16090])).
% 7.36/5.49 tff(16093,plain,
% 7.36/5.49 (~((~v113(constB115)) | (~v126(constB115)))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16092, 16085])).
% 7.36/5.49 tff(16094,plain,
% 7.36/5.49 ((~(v112(constB115) <=> (~((~v113(constB115)) | (~v126(constB115)))))) | v112(constB115) | ((~v113(constB115)) | (~v126(constB115)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16095,plain,
% 7.36/5.49 (v112(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16094, 16093, 16061])).
% 7.36/5.49 tff(16096,plain,
% 7.36/5.49 ((v111(constB115) | v112(constB115)) | (~v112(constB115))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16097,plain,
% 7.36/5.49 (v111(constB115) | v112(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16096, 16095])).
% 7.36/5.49 tff(16098,plain,
% 7.36/5.49 ((~(v108(constB115) <=> (v111(constB115) | v112(constB115)))) | v108(constB115) | (~(v111(constB115) | v112(constB115)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16099,plain,
% 7.36/5.49 (v108(constB115)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16098, 16097, 16059])).
% 7.36/5.49 tff(16100,plain,
% 7.36/5.49 ((~(v110(constB116) <=> v108(constB115))) | v110(constB116) | (~v108(constB115))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16101,plain,
% 7.36/5.49 (v110(constB116)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16100, 16099, 16057])).
% 7.36/5.49 tff(16102,plain,
% 7.36/5.49 ((~((~v101(constB116)) | (~v110(constB116)))) | (~v101(constB116)) | (~v110(constB116))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16103,plain,
% 7.36/5.49 (~((~v101(constB116)) | (~v110(constB116)))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16102, 16101, 16053])).
% 7.36/5.49 tff(16104,plain,
% 7.36/5.49 ((~(v100(constB116) <=> (~((~v101(constB116)) | (~v110(constB116)))))) | v100(constB116) | ((~v101(constB116)) | (~v110(constB116)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16105,plain,
% 7.36/5.49 (v100(constB116)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16104, 16103, 16025])).
% 7.36/5.49 tff(16106,plain,
% 7.36/5.49 (((~![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)))))),
% 7.36/5.49 inference(rewrite,[status(thm)],[])).
% 7.36/5.49 tff(16107,plain,
% 7.36/5.49 ((~![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)))))),
% 7.36/5.49 inference(quant_inst,[status(thm)],[])).
% 7.36/5.49 tff(16108,plain,
% 7.36/5.49 ((~![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))))),
% 7.36/5.49 inference(modus_ponens,[status(thm)],[16107, 16106])).
% 7.36/5.49 tff(16109,plain,
% 7.36/5.49 ((~v100(constB116)) | (~(((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0))))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16108, 4151])).
% 7.36/5.49 tff(16110,plain,
% 7.36/5.49 (~(((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0)))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16109, 16105])).
% 7.36/5.49 tff(16111,plain,
% 7.36/5.49 ((((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0))) | (~((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16112,plain,
% 7.36/5.49 (~((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16111, 16110])).
% 7.36/5.49 tff(16113,plain,
% 7.36/5.49 (((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | v90(constB116, bitIndex2) | (~v129(constB116, bitIndex2))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16114,plain,
% 7.36/5.49 (v90(constB116, bitIndex2)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16113, 16112, 16021])).
% 7.36/5.49 tff(16115,plain,
% 7.36/5.49 (((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | v90(constB117, bitIndex2) | (~v90(constB116, bitIndex2))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16116,plain,
% 7.36/5.49 (v90(constB117, bitIndex2)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16115, 16114, 14664])).
% 7.36/5.49 tff(16117,plain,
% 7.36/5.49 ((((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))) | (~((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16118,plain,
% 7.36/5.49 (~((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16117, 14662])).
% 7.36/5.49 tff(16119,plain,
% 7.36/5.49 ((((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0))) | (~((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16120,plain,
% 7.36/5.49 (~((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16119, 14671])).
% 7.36/5.49 tff(16121,plain,
% 7.36/5.49 ((((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1))) | (~((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16122,plain,
% 7.36/5.49 (~((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16121, 14685])).
% 7.36/5.49 tff(16123,plain,
% 7.36/5.49 ((v130(constB115, bitIndex0) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex2))) | (~v130(constB115, bitIndex0))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16124,plain,
% 7.36/5.49 (~v130(constB115, bitIndex0)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16123, 16015])).
% 7.36/5.49 tff(16125,plain,
% 7.36/5.49 (((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)) | (~v127(constB115, bitIndex0)) | v130(constB115, bitIndex0)),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16126,plain,
% 7.36/5.49 (~v127(constB115, bitIndex0)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16125, 16124, 16122])).
% 7.36/5.49 tff(16127,plain,
% 7.36/5.49 (((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0)) | (~v129(constB116, bitIndex0)) | v127(constB115, bitIndex0)),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16128,plain,
% 7.36/5.49 (~v129(constB116, bitIndex0)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16127, 16126, 16120])).
% 7.36/5.49 tff(16129,plain,
% 7.36/5.49 ((((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0))) | (~((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16130,plain,
% 7.36/5.49 (~((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16129, 16110])).
% 7.36/5.49 tff(16131,plain,
% 7.36/5.49 (((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0)) | (~v90(constB116, bitIndex0)) | v129(constB116, bitIndex0)),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16132,plain,
% 7.36/5.49 (~v90(constB116, bitIndex0)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16131, 16130, 16128])).
% 7.36/5.49 tff(16133,plain,
% 7.36/5.49 (((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0)) | (~v90(constB117, bitIndex0)) | v90(constB116, bitIndex0)),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16134,plain,
% 7.36/5.49 (~v90(constB117, bitIndex0)),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16133, 16132, 16118])).
% 7.36/5.49 tff(16135,plain,
% 7.36/5.49 ((((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | ((~v90(constB117, bitIndex2)) <=> v90(constB116, bitIndex2)) | ((~v90(constB117, bitIndex0)) <=> v90(constB116, bitIndex0))) | (~((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16136,plain,
% 7.36/5.49 (~((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1))),
% 7.36/5.49 inference(unit_resolution,[status(thm)],[16135, 14662])).
% 7.36/5.49 tff(16137,plain,
% 7.36/5.49 ((((~v129(constB116, bitIndex2)) <=> v127(constB115, bitIndex2)) | ((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | ((~v129(constB116, bitIndex0)) <=> v127(constB115, bitIndex0))) | (~((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)))),
% 7.36/5.49 inference(tautology,[status(thm)],[])).
% 7.36/5.49 tff(16138,plain,
% 7.36/5.49 (~((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16137, 14671])).
% 7.36/5.50 tff(16139,plain,
% 7.36/5.50 ((((~v127(constB115, bitIndex2)) <=> v130(constB115, bitIndex2)) | ((~v127(constB115, bitIndex0)) <=> v130(constB115, bitIndex0)) | ((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1))) | (~((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16140,plain,
% 7.36/5.50 (~((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16139, 14685])).
% 7.36/5.50 tff(16141,plain,
% 7.36/5.50 ((v130(constB115, bitIndex0) | v130(constB115, bitIndex1) | (~v130(constB115, bitIndex2))) | (~v130(constB115, bitIndex1))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16142,plain,
% 7.36/5.50 (~v130(constB115, bitIndex1)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16141, 16015])).
% 7.36/5.50 tff(16143,plain,
% 7.36/5.50 (((~v127(constB115, bitIndex1)) <=> v130(constB115, bitIndex1)) | (~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16144,plain,
% 7.36/5.50 (~v127(constB115, bitIndex1)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16143, 16142, 16140])).
% 7.36/5.50 tff(16145,plain,
% 7.36/5.50 (((~v129(constB116, bitIndex1)) <=> v127(constB115, bitIndex1)) | (~v129(constB116, bitIndex1)) | v127(constB115, bitIndex1)),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16146,plain,
% 7.36/5.50 (~v129(constB116, bitIndex1)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16145, 16144, 16138])).
% 7.36/5.50 tff(16147,plain,
% 7.36/5.50 ((((~v90(constB116, bitIndex2)) <=> v129(constB116, bitIndex2)) | ((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | ((~v90(constB116, bitIndex0)) <=> v129(constB116, bitIndex0))) | (~((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16148,plain,
% 7.36/5.50 (~((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16147, 16110])).
% 7.36/5.50 tff(16149,plain,
% 7.36/5.50 (((~v90(constB116, bitIndex1)) <=> v129(constB116, bitIndex1)) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1)),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16150,plain,
% 7.36/5.50 (~v90(constB116, bitIndex1)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16149, 16148, 16146])).
% 7.36/5.50 tff(16151,plain,
% 7.36/5.50 (((~v90(constB117, bitIndex1)) <=> v90(constB116, bitIndex1)) | (~v90(constB117, bitIndex1)) | v90(constB116, bitIndex1)),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16152,plain,
% 7.36/5.50 (~v90(constB117, bitIndex1)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16151, 16150, 16136])).
% 7.36/5.50 tff(16153,plain,
% 7.36/5.50 ((~(v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2)))) | v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16154,plain,
% 7.36/5.50 (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2)))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16153, 16152, 16134, 16116])).
% 7.36/5.50 tff(16155,plain,
% 7.36/5.50 ((~(v123(constB117) <=> (~(v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2)))))) | v123(constB117) | (v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex2)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16156,plain,
% 7.36/5.50 (v123(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16155, 16154, 14628])).
% 7.36/5.50 tff(16157,plain,
% 7.36/5.50 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB117)) | (~(v130(constB117, bitIndex1) | (~v130(constB117, bitIndex2)) | (~v130(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB117)) | (~(v130(constB117, bitIndex1) | (~v130(constB117, bitIndex2)) | (~v130(constB117, bitIndex0)))))),
% 7.36/5.50 inference(rewrite,[status(thm)],[])).
% 7.36/5.50 tff(16158,plain,
% 7.36/5.50 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB117)) | (~(v130(constB117, bitIndex1) | (~v130(constB117, bitIndex2)) | (~v130(constB117, bitIndex0)))))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16159,plain,
% 7.36/5.50 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB117)) | (~(v130(constB117, bitIndex1) | (~v130(constB117, bitIndex2)) | (~v130(constB117, bitIndex0))))),
% 7.36/5.50 inference(modus_ponens,[status(thm)],[16158, 16157])).
% 7.36/5.50 tff(16160,plain,
% 7.36/5.50 ((~v123(constB117)) | (~(v130(constB117, bitIndex1) | (~v130(constB117, bitIndex2)) | (~v130(constB117, bitIndex0))))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16159, 4722])).
% 7.36/5.50 tff(16161,plain,
% 7.36/5.50 (~(v130(constB117, bitIndex1) | (~v130(constB117, bitIndex2)) | (~v130(constB117, bitIndex0)))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16160, 16156])).
% 7.36/5.50 tff(16162,plain,
% 7.36/5.50 ((v130(constB117, bitIndex1) | (~v130(constB117, bitIndex2)) | (~v130(constB117, bitIndex0))) | v130(constB117, bitIndex2)),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16163,plain,
% 7.36/5.50 (v130(constB117, bitIndex2)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16162, 16161])).
% 7.36/5.50 tff(16164,plain,
% 7.36/5.50 (((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | v127(constB117, bitIndex2) | (~v130(constB117, bitIndex2))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16165,plain,
% 7.36/5.50 (v127(constB117, bitIndex2)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16164, 16163, 14621])).
% 7.36/5.50 tff(16166,plain,
% 7.36/5.50 (((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | v129(constB118, bitIndex2) | (~v127(constB117, bitIndex2))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16167,plain,
% 7.36/5.50 (v129(constB118, bitIndex2)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16166, 16165, 14607])).
% 7.36/5.50 tff(16168,plain,
% 7.36/5.50 (((~![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))))))),
% 7.36/5.50 inference(rewrite,[status(thm)],[])).
% 7.36/5.50 tff(16169,plain,
% 7.36/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16170,plain,
% 7.36/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB117, constB118)) | (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))),
% 7.36/5.50 inference(modus_ponens,[status(thm)],[16169, 16168])).
% 7.36/5.50 tff(16171,plain,
% 7.36/5.50 (v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118))))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16170, 14601, 433])).
% 7.36/5.50 tff(16172,plain,
% 7.36/5.50 (((~![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))))))),
% 7.36/5.50 inference(rewrite,[status(thm)],[])).
% 7.36/5.50 tff(16173,plain,
% 7.36/5.50 (((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118)))))) <=> ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))))),
% 7.36/5.50 inference(rewrite,[status(thm)],[])).
% 7.36/5.50 tff(16174,plain,
% 7.36/5.50 (((~![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)))))))),
% 7.36/5.50 inference(monotonicity,[status(thm)],[16173])).
% 7.36/5.50 tff(16175,plain,
% 7.36/5.50 (((~![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))))))),
% 7.36/5.50 inference(transitivity,[status(thm)],[16174, 16172])).
% 7.36/5.50 tff(16176,plain,
% 7.36/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v102(constB118)) | (~v1(constB118))))))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16177,plain,
% 7.36/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))),
% 7.36/5.50 inference(modus_ponens,[status(thm)],[16176, 16175])).
% 7.36/5.50 tff(16178,plain,
% 7.36/5.50 (v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118))))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16177, 14601, 453])).
% 7.36/5.50 tff(16179,plain,
% 7.36/5.50 (((~![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)))),
% 7.36/5.50 inference(rewrite,[status(thm)],[])).
% 7.36/5.50 tff(16180,plain,
% 7.36/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118)))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16181,plain,
% 7.36/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB117, constB118)) | ((~v102(constB118)) <=> v104(constB118))),
% 7.36/5.50 inference(modus_ponens,[status(thm)],[16180, 16179])).
% 7.36/5.50 tff(16182,plain,
% 7.36/5.50 ((~v102(constB118)) <=> v104(constB118)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16181, 14601, 3966])).
% 7.36/5.50 tff(16183,plain,
% 7.36/5.50 (((~![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)))),
% 7.36/5.50 inference(rewrite,[status(thm)],[])).
% 7.36/5.50 tff(16184,plain,
% 7.36/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117)))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16185,plain,
% 7.36/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v1(constB117))),
% 7.36/5.50 inference(modus_ponens,[status(thm)],[16184, 16183])).
% 7.36/5.50 tff(16186,plain,
% 7.36/5.50 (v104(constB118) <=> v1(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16185, 14601, 3980])).
% 7.36/5.50 tff(16187,plain,
% 7.36/5.50 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118)) | v1(constB117)),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16188,plain,
% 7.36/5.50 ((~(v104(constB118) <=> v1(constB117))) | (~v104(constB118))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16187, 14645])).
% 7.36/5.50 tff(16189,plain,
% 7.36/5.50 (~v104(constB118)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16188, 16186])).
% 7.36/5.50 tff(16190,plain,
% 7.36/5.50 ((~((~v102(constB118)) <=> v104(constB118))) | v102(constB118) | v104(constB118)),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16191,plain,
% 7.36/5.50 (v102(constB118)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16190, 16189, 16182])).
% 7.36/5.50 tff(16192,plain,
% 7.36/5.50 (v1(constB118) <=> v1(constB118)),
% 7.36/5.50 inference(rewrite,[status(thm)],[])).
% 7.36/5.50 tff(16193,axiom,(v1(constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_118')).
% 7.36/5.50 tff(16194,plain,
% 7.36/5.50 (v1(constB118)),
% 7.36/5.50 inference(modus_ponens,[status(thm)],[16193, 16192])).
% 7.36/5.50 tff(16195,plain,
% 7.36/5.50 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v1(constB118)) | (~v102(constB118))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16196,plain,
% 7.36/5.50 ((~((~v1(constB118)) | (~v102(constB118)))) | (~v102(constB118))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16195, 16194])).
% 7.36/5.50 tff(16197,plain,
% 7.36/5.50 (~((~v1(constB118)) | (~v102(constB118)))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16196, 16191])).
% 7.36/5.50 tff(16198,plain,
% 7.36/5.50 ((~(v101(constB118) <=> (~((~v1(constB118)) | (~v102(constB118)))))) | v101(constB118) | ((~v1(constB118)) | (~v102(constB118)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16199,plain,
% 7.36/5.50 (v101(constB118)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16198, 16197, 16178])).
% 7.36/5.50 tff(16200,plain,
% 7.36/5.50 (((~![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)))),
% 7.36/5.50 inference(rewrite,[status(thm)],[])).
% 7.36/5.50 tff(16201,plain,
% 7.36/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117)))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16202,plain,
% 7.36/5.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB117, constB118)) | (v110(constB118) <=> v108(constB117))),
% 7.36/5.50 inference(modus_ponens,[status(thm)],[16201, 16200])).
% 7.36/5.50 tff(16203,plain,
% 7.36/5.50 (v110(constB118) <=> v108(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16202, 14601, 4007])).
% 7.36/5.50 tff(16204,plain,
% 7.36/5.50 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB117) <=> (v111(constB117) | v112(constB117)))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16205,plain,
% 7.36/5.50 (v108(constB117) <=> (v111(constB117) | v112(constB117))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16204, 4018])).
% 7.36/5.50 tff(16206,plain,
% 7.36/5.50 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16207,plain,
% 7.36/5.50 (v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117))))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16206, 4030])).
% 7.36/5.50 tff(16208,plain,
% 7.36/5.50 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB117) <=> (v114(constB117) | v125(constB117)))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16209,plain,
% 7.36/5.50 (v113(constB117) <=> (v114(constB117) | v125(constB117))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16208, 4039])).
% 7.36/5.50 tff(16210,plain,
% 7.36/5.50 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB117) <=> (v115(constB117) | v124(constB117)))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16211,plain,
% 7.36/5.50 (v114(constB117) <=> (v115(constB117) | v124(constB117))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16210, 4048])).
% 7.36/5.50 tff(16212,plain,
% 7.36/5.50 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB117) <=> (v116(constB117) | v123(constB117)))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16213,plain,
% 7.36/5.50 (v115(constB117) <=> (v116(constB117) | v123(constB117))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16212, 4057])).
% 7.36/5.50 tff(16214,plain,
% 7.36/5.50 ((v116(constB117) | v123(constB117)) | (~v123(constB117))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16215,plain,
% 7.36/5.50 (v116(constB117) | v123(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16214, 16156])).
% 7.36/5.50 tff(16216,plain,
% 7.36/5.50 ((~(v115(constB117) <=> (v116(constB117) | v123(constB117)))) | v115(constB117) | (~(v116(constB117) | v123(constB117)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16217,plain,
% 7.36/5.50 (v115(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16216, 16215, 16213])).
% 7.36/5.50 tff(16218,plain,
% 7.36/5.50 ((v115(constB117) | v124(constB117)) | (~v115(constB117))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16219,plain,
% 7.36/5.50 (v115(constB117) | v124(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16218, 16217])).
% 7.36/5.50 tff(16220,plain,
% 7.36/5.50 ((~(v114(constB117) <=> (v115(constB117) | v124(constB117)))) | v114(constB117) | (~(v115(constB117) | v124(constB117)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16221,plain,
% 7.36/5.50 (v114(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16220, 16219, 16211])).
% 7.36/5.50 tff(16222,plain,
% 7.36/5.50 ((v114(constB117) | v125(constB117)) | (~v114(constB117))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16223,plain,
% 7.36/5.50 (v114(constB117) | v125(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16222, 16221])).
% 7.36/5.50 tff(16224,plain,
% 7.36/5.50 ((~(v113(constB117) <=> (v114(constB117) | v125(constB117)))) | v113(constB117) | (~(v114(constB117) | v125(constB117)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16225,plain,
% 7.36/5.50 (v113(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16224, 16223, 16209])).
% 7.36/5.50 tff(16226,plain,
% 7.36/5.50 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB117)) <=> v111(constB117))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16227,plain,
% 7.36/5.50 ((~v126(constB117)) <=> v111(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16226, 4118])).
% 7.36/5.50 tff(16228,plain,
% 7.36/5.50 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117) | v111(constB117)),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16229,plain,
% 7.36/5.50 ((~((~v126(constB117)) <=> v111(constB117))) | v126(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16228, 14614])).
% 7.36/5.50 tff(16230,plain,
% 7.36/5.50 (v126(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16229, 16227])).
% 7.36/5.50 tff(16231,plain,
% 7.36/5.50 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117)) | (~v126(constB117))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16232,plain,
% 7.36/5.50 ((~((~v113(constB117)) | (~v126(constB117)))) | (~v113(constB117))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16231, 16230])).
% 7.36/5.50 tff(16233,plain,
% 7.36/5.50 (~((~v113(constB117)) | (~v126(constB117)))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16232, 16225])).
% 7.36/5.50 tff(16234,plain,
% 7.36/5.50 ((~(v112(constB117) <=> (~((~v113(constB117)) | (~v126(constB117)))))) | v112(constB117) | ((~v113(constB117)) | (~v126(constB117)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16235,plain,
% 7.36/5.50 (v112(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16234, 16233, 16207])).
% 7.36/5.50 tff(16236,plain,
% 7.36/5.50 ((v111(constB117) | v112(constB117)) | (~v112(constB117))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16237,plain,
% 7.36/5.50 (v111(constB117) | v112(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16236, 16235])).
% 7.36/5.50 tff(16238,plain,
% 7.36/5.50 ((~(v108(constB117) <=> (v111(constB117) | v112(constB117)))) | v108(constB117) | (~(v111(constB117) | v112(constB117)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16239,plain,
% 7.36/5.50 (v108(constB117)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16238, 16237, 16205])).
% 7.36/5.50 tff(16240,plain,
% 7.36/5.50 ((~(v110(constB118) <=> v108(constB117))) | v110(constB118) | (~v108(constB117))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16241,plain,
% 7.36/5.50 (v110(constB118)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16240, 16239, 16203])).
% 7.36/5.50 tff(16242,plain,
% 7.36/5.50 ((~((~v101(constB118)) | (~v110(constB118)))) | (~v101(constB118)) | (~v110(constB118))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16243,plain,
% 7.36/5.50 (~((~v101(constB118)) | (~v110(constB118)))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16242, 16241, 16199])).
% 7.36/5.50 tff(16244,plain,
% 7.36/5.50 ((~(v100(constB118) <=> (~((~v101(constB118)) | (~v110(constB118)))))) | v100(constB118) | ((~v101(constB118)) | (~v110(constB118)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16245,plain,
% 7.36/5.50 (v100(constB118)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16244, 16243, 16171])).
% 7.36/5.50 tff(16246,plain,
% 7.36/5.50 (((~![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)))))),
% 7.36/5.50 inference(rewrite,[status(thm)],[])).
% 7.36/5.50 tff(16247,plain,
% 7.36/5.50 (((~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)))))),
% 7.36/5.50 inference(rewrite,[status(thm)],[])).
% 7.36/5.50 tff(16248,plain,
% 7.36/5.50 (((~![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))))))),
% 7.36/5.50 inference(monotonicity,[status(thm)],[16247])).
% 7.36/5.50 tff(16249,plain,
% 7.36/5.50 (((~![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)))))),
% 7.36/5.50 inference(transitivity,[status(thm)],[16248, 16246])).
% 7.36/5.50 tff(16250,plain,
% 7.36/5.50 ((~![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)))))),
% 7.36/5.50 inference(quant_inst,[status(thm)],[])).
% 7.36/5.50 tff(16251,plain,
% 7.36/5.50 ((~![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))))),
% 7.36/5.50 inference(modus_ponens,[status(thm)],[16250, 16249])).
% 7.36/5.50 tff(16252,plain,
% 7.36/5.50 ((~v100(constB118)) | (~(((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16251, 4151])).
% 7.36/5.50 tff(16253,plain,
% 7.36/5.50 (~(((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16252, 16245])).
% 7.36/5.50 tff(16254,plain,
% 7.36/5.50 ((((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))) | (~((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16255,plain,
% 7.36/5.50 (~((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16254, 16253])).
% 7.36/5.50 tff(16256,plain,
% 7.36/5.50 (((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16257,plain,
% 7.36/5.50 (v90(constB118, bitIndex2)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16256, 16255, 16167])).
% 7.36/5.50 tff(16258,plain,
% 7.36/5.50 (((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | v90(constB119, bitIndex2) | (~v90(constB118, bitIndex2))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16259,plain,
% 7.36/5.50 (v90(constB119, bitIndex2)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16258, 16257, 14598])).
% 7.36/5.50 tff(16260,plain,
% 7.36/5.50 ((((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))) | (~((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16261,plain,
% 7.36/5.50 (~((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16260, 14596])).
% 7.36/5.50 tff(16262,plain,
% 7.36/5.50 ((((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0))) | (~((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16263,plain,
% 7.36/5.50 (~((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16262, 14605])).
% 7.36/5.50 tff(16264,plain,
% 7.36/5.50 ((((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1))) | (~((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16265,plain,
% 7.36/5.50 (~((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16264, 14619])).
% 7.36/5.50 tff(16266,plain,
% 7.36/5.50 ((v130(constB117, bitIndex1) | (~v130(constB117, bitIndex2)) | (~v130(constB117, bitIndex0))) | v130(constB117, bitIndex0)),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16267,plain,
% 7.36/5.50 (v130(constB117, bitIndex0)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16266, 16161])).
% 7.36/5.50 tff(16268,plain,
% 7.36/5.50 (((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)) | v127(constB117, bitIndex0) | (~v130(constB117, bitIndex0))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16269,plain,
% 7.36/5.50 (v127(constB117, bitIndex0)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16268, 16267, 16265])).
% 7.36/5.50 tff(16270,plain,
% 7.36/5.50 (((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0)) | v129(constB118, bitIndex0) | (~v127(constB117, bitIndex0))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16271,plain,
% 7.36/5.50 (v129(constB118, bitIndex0)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16270, 16269, 16263])).
% 7.36/5.50 tff(16272,plain,
% 7.36/5.50 ((((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))) | (~((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16273,plain,
% 7.36/5.50 (~((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16272, 16253])).
% 7.36/5.50 tff(16274,plain,
% 7.36/5.50 (((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16275,plain,
% 7.36/5.50 (v90(constB118, bitIndex0)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16274, 16273, 16271])).
% 7.36/5.50 tff(16276,plain,
% 7.36/5.50 (((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0)) | v90(constB119, bitIndex0) | (~v90(constB118, bitIndex0))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16277,plain,
% 7.36/5.50 (v90(constB119, bitIndex0)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16276, 16275, 16261])).
% 7.36/5.50 tff(16278,plain,
% 7.36/5.50 ((((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | ((~v90(constB119, bitIndex2)) <=> v90(constB118, bitIndex2)) | ((~v90(constB119, bitIndex0)) <=> v90(constB118, bitIndex0))) | (~((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16279,plain,
% 7.36/5.50 (~((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16278, 14596])).
% 7.36/5.50 tff(16280,plain,
% 7.36/5.50 ((((~v129(constB118, bitIndex2)) <=> v127(constB117, bitIndex2)) | ((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | ((~v129(constB118, bitIndex0)) <=> v127(constB117, bitIndex0))) | (~((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16281,plain,
% 7.36/5.50 (~((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16280, 14605])).
% 7.36/5.50 tff(16282,plain,
% 7.36/5.50 ((((~v127(constB117, bitIndex2)) <=> v130(constB117, bitIndex2)) | ((~v127(constB117, bitIndex0)) <=> v130(constB117, bitIndex0)) | ((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1))) | (~((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16283,plain,
% 7.36/5.50 (~((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1))),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16282, 14619])).
% 7.36/5.50 tff(16284,plain,
% 7.36/5.50 ((v130(constB117, bitIndex1) | (~v130(constB117, bitIndex2)) | (~v130(constB117, bitIndex0))) | (~v130(constB117, bitIndex1))),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16285,plain,
% 7.36/5.50 (~v130(constB117, bitIndex1)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16284, 16161])).
% 7.36/5.50 tff(16286,plain,
% 7.36/5.50 (((~v127(constB117, bitIndex1)) <=> v130(constB117, bitIndex1)) | (~v127(constB117, bitIndex1)) | v130(constB117, bitIndex1)),
% 7.36/5.50 inference(tautology,[status(thm)],[])).
% 7.36/5.50 tff(16287,plain,
% 7.36/5.50 (~v127(constB117, bitIndex1)),
% 7.36/5.50 inference(unit_resolution,[status(thm)],[16286, 16285, 16283])).
% 7.36/5.50 tff(16288,plain,
% 7.36/5.50 (((~v129(constB118, bitIndex1)) <=> v127(constB117, bitIndex1)) | (~v129(constB118, bitIndex1)) | v127(constB117, bitIndex1)),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16289,plain,
% 7.36/5.51 (~v129(constB118, bitIndex1)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16288, 16287, 16281])).
% 7.36/5.51 tff(16290,plain,
% 7.36/5.51 ((((~v90(constB118, bitIndex0)) <=> v129(constB118, bitIndex0)) | ((~v90(constB118, bitIndex2)) <=> v129(constB118, bitIndex2)) | ((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))) | (~((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16291,plain,
% 7.36/5.51 (~((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16290, 16253])).
% 7.36/5.51 tff(16292,plain,
% 7.36/5.51 (((~v90(constB118, bitIndex1)) <=> v129(constB118, bitIndex1)) | (~v90(constB118, bitIndex1)) | v129(constB118, bitIndex1)),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16293,plain,
% 7.36/5.51 (~v90(constB118, bitIndex1)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16292, 16291, 16289])).
% 7.36/5.51 tff(16294,plain,
% 7.36/5.51 (((~v90(constB119, bitIndex1)) <=> v90(constB118, bitIndex1)) | (~v90(constB119, bitIndex1)) | v90(constB118, bitIndex1)),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16295,plain,
% 7.36/5.51 (~v90(constB119, bitIndex1)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16294, 16293, 16279])).
% 7.36/5.51 tff(16296,plain,
% 7.36/5.51 ((~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0)))) | v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16297,plain,
% 7.36/5.51 (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0)))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16296, 16295, 16277, 16259])).
% 7.36/5.51 tff(16298,plain,
% 7.36/5.51 ((~(v124(constB119) <=> (~(v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0)))))) | v124(constB119) | (v90(constB119, bitIndex1) | (~v90(constB119, bitIndex2)) | (~v90(constB119, bitIndex0)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16299,plain,
% 7.36/5.51 (v124(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16298, 16297, 14562])).
% 7.36/5.51 tff(16300,plain,
% 7.36/5.51 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB119)) | (~(v130(constB119, bitIndex0) | (~v130(constB119, bitIndex2)) | (~v130(constB119, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB119)) | (~(v130(constB119, bitIndex0) | (~v130(constB119, bitIndex2)) | (~v130(constB119, bitIndex1)))))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16301,plain,
% 7.36/5.51 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB119)) | (~(v130(constB119, bitIndex0) | (~v130(constB119, bitIndex2)) | (~v130(constB119, bitIndex1)))))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16302,plain,
% 7.36/5.51 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB119)) | (~(v130(constB119, bitIndex0) | (~v130(constB119, bitIndex2)) | (~v130(constB119, bitIndex1))))),
% 7.36/5.51 inference(modus_ponens,[status(thm)],[16301, 16300])).
% 7.36/5.51 tff(16303,plain,
% 7.36/5.51 ((~v124(constB119)) | (~(v130(constB119, bitIndex0) | (~v130(constB119, bitIndex2)) | (~v130(constB119, bitIndex1))))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16302, 4878])).
% 7.36/5.51 tff(16304,plain,
% 7.36/5.51 (~(v130(constB119, bitIndex0) | (~v130(constB119, bitIndex2)) | (~v130(constB119, bitIndex1)))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16303, 16299])).
% 7.36/5.51 tff(16305,plain,
% 7.36/5.51 ((v130(constB119, bitIndex0) | (~v130(constB119, bitIndex2)) | (~v130(constB119, bitIndex1))) | v130(constB119, bitIndex2)),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16306,plain,
% 7.36/5.51 (v130(constB119, bitIndex2)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16305, 16304])).
% 7.36/5.51 tff(16307,plain,
% 7.36/5.51 (((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | v127(constB119, bitIndex2) | (~v130(constB119, bitIndex2))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16308,plain,
% 7.36/5.51 (v127(constB119, bitIndex2)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16307, 16306, 14555])).
% 7.36/5.51 tff(16309,plain,
% 7.36/5.51 (((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | v129(constB120, bitIndex2) | (~v127(constB119, bitIndex2))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16310,plain,
% 7.36/5.51 (v129(constB120, bitIndex2)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16309, 16308, 14541])).
% 7.36/5.51 tff(16311,plain,
% 7.36/5.51 (((~![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))))))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16312,plain,
% 7.36/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16313,plain,
% 7.36/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB119, constB120)) | (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))),
% 7.36/5.51 inference(modus_ponens,[status(thm)],[16312, 16311])).
% 7.36/5.51 tff(16314,plain,
% 7.36/5.51 (v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120))))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16313, 14535, 433])).
% 7.36/5.51 tff(16315,plain,
% 7.36/5.51 (((~![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))))))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16316,plain,
% 7.36/5.51 (((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120)))))) <=> ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16317,plain,
% 7.36/5.51 (((~![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)))))))),
% 7.36/5.51 inference(monotonicity,[status(thm)],[16316])).
% 7.36/5.51 tff(16318,plain,
% 7.36/5.51 (((~![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))))))),
% 7.36/5.51 inference(transitivity,[status(thm)],[16317, 16315])).
% 7.36/5.51 tff(16319,plain,
% 7.36/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v102(constB120)) | (~v1(constB120))))))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16320,plain,
% 7.36/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))),
% 7.36/5.51 inference(modus_ponens,[status(thm)],[16319, 16318])).
% 7.36/5.51 tff(16321,plain,
% 7.36/5.51 (v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120))))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16320, 14535, 453])).
% 7.36/5.51 tff(16322,plain,
% 7.36/5.51 (((~![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)))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16323,plain,
% 7.36/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120)))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16324,plain,
% 7.36/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB119, constB120)) | ((~v102(constB120)) <=> v104(constB120))),
% 7.36/5.51 inference(modus_ponens,[status(thm)],[16323, 16322])).
% 7.36/5.51 tff(16325,plain,
% 7.36/5.51 ((~v102(constB120)) <=> v104(constB120)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16324, 14535, 3966])).
% 7.36/5.51 tff(16326,plain,
% 7.36/5.51 (((~![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)))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16327,plain,
% 7.36/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119)))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16328,plain,
% 7.36/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v1(constB119))),
% 7.36/5.51 inference(modus_ponens,[status(thm)],[16327, 16326])).
% 7.36/5.51 tff(16329,plain,
% 7.36/5.51 (v104(constB120) <=> v1(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16328, 14535, 3980])).
% 7.36/5.51 tff(16330,plain,
% 7.36/5.51 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120)) | v1(constB119)),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16331,plain,
% 7.36/5.51 ((~(v104(constB120) <=> v1(constB119))) | (~v104(constB120))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16330, 14579])).
% 7.36/5.51 tff(16332,plain,
% 7.36/5.51 (~v104(constB120)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16331, 16329])).
% 7.36/5.51 tff(16333,plain,
% 7.36/5.51 ((~((~v102(constB120)) <=> v104(constB120))) | v102(constB120) | v104(constB120)),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16334,plain,
% 7.36/5.51 (v102(constB120)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16333, 16332, 16325])).
% 7.36/5.51 tff(16335,plain,
% 7.36/5.51 (v1(constB120) <=> v1(constB120)),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16336,axiom,(v1(constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_120')).
% 7.36/5.51 tff(16337,plain,
% 7.36/5.51 (v1(constB120)),
% 7.36/5.51 inference(modus_ponens,[status(thm)],[16336, 16335])).
% 7.36/5.51 tff(16338,plain,
% 7.36/5.51 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v1(constB120)) | (~v102(constB120))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16339,plain,
% 7.36/5.51 ((~((~v1(constB120)) | (~v102(constB120)))) | (~v102(constB120))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16338, 16337])).
% 7.36/5.51 tff(16340,plain,
% 7.36/5.51 (~((~v1(constB120)) | (~v102(constB120)))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16339, 16334])).
% 7.36/5.51 tff(16341,plain,
% 7.36/5.51 ((~(v101(constB120) <=> (~((~v1(constB120)) | (~v102(constB120)))))) | v101(constB120) | ((~v1(constB120)) | (~v102(constB120)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16342,plain,
% 7.36/5.51 (v101(constB120)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16341, 16340, 16321])).
% 7.36/5.51 tff(16343,plain,
% 7.36/5.51 (((~![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)))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16344,plain,
% 7.36/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119)))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16345,plain,
% 7.36/5.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB119, constB120)) | (v110(constB120) <=> v108(constB119))),
% 7.36/5.51 inference(modus_ponens,[status(thm)],[16344, 16343])).
% 7.36/5.51 tff(16346,plain,
% 7.36/5.51 (v110(constB120) <=> v108(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16345, 14535, 4007])).
% 7.36/5.51 tff(16347,plain,
% 7.36/5.51 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB119) <=> (v111(constB119) | v112(constB119)))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16348,plain,
% 7.36/5.51 (v108(constB119) <=> (v111(constB119) | v112(constB119))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16347, 4018])).
% 7.36/5.51 tff(16349,plain,
% 7.36/5.51 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16350,plain,
% 7.36/5.51 (v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119))))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16349, 4030])).
% 7.36/5.51 tff(16351,plain,
% 7.36/5.51 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB119) <=> (v114(constB119) | v125(constB119)))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16352,plain,
% 7.36/5.51 (v113(constB119) <=> (v114(constB119) | v125(constB119))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16351, 4039])).
% 7.36/5.51 tff(16353,plain,
% 7.36/5.51 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB119) <=> (v115(constB119) | v124(constB119)))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16354,plain,
% 7.36/5.51 (v114(constB119) <=> (v115(constB119) | v124(constB119))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16353, 4048])).
% 7.36/5.51 tff(16355,plain,
% 7.36/5.51 ((v115(constB119) | v124(constB119)) | (~v124(constB119))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16356,plain,
% 7.36/5.51 (v115(constB119) | v124(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16355, 16299])).
% 7.36/5.51 tff(16357,plain,
% 7.36/5.51 ((~(v114(constB119) <=> (v115(constB119) | v124(constB119)))) | v114(constB119) | (~(v115(constB119) | v124(constB119)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16358,plain,
% 7.36/5.51 (v114(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16357, 16356, 16354])).
% 7.36/5.51 tff(16359,plain,
% 7.36/5.51 ((v114(constB119) | v125(constB119)) | (~v114(constB119))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16360,plain,
% 7.36/5.51 (v114(constB119) | v125(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16359, 16358])).
% 7.36/5.51 tff(16361,plain,
% 7.36/5.51 ((~(v113(constB119) <=> (v114(constB119) | v125(constB119)))) | v113(constB119) | (~(v114(constB119) | v125(constB119)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16362,plain,
% 7.36/5.51 (v113(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16361, 16360, 16352])).
% 7.36/5.51 tff(16363,plain,
% 7.36/5.51 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB119)) <=> v111(constB119))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16364,plain,
% 7.36/5.51 ((~v126(constB119)) <=> v111(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16363, 4118])).
% 7.36/5.51 tff(16365,plain,
% 7.36/5.51 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119) | v111(constB119)),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16366,plain,
% 7.36/5.51 ((~((~v126(constB119)) <=> v111(constB119))) | v126(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16365, 14548])).
% 7.36/5.51 tff(16367,plain,
% 7.36/5.51 (v126(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16366, 16364])).
% 7.36/5.51 tff(16368,plain,
% 7.36/5.51 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119)) | (~v126(constB119))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16369,plain,
% 7.36/5.51 ((~((~v113(constB119)) | (~v126(constB119)))) | (~v113(constB119))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16368, 16367])).
% 7.36/5.51 tff(16370,plain,
% 7.36/5.51 (~((~v113(constB119)) | (~v126(constB119)))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16369, 16362])).
% 7.36/5.51 tff(16371,plain,
% 7.36/5.51 ((~(v112(constB119) <=> (~((~v113(constB119)) | (~v126(constB119)))))) | v112(constB119) | ((~v113(constB119)) | (~v126(constB119)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16372,plain,
% 7.36/5.51 (v112(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16371, 16370, 16350])).
% 7.36/5.51 tff(16373,plain,
% 7.36/5.51 ((v111(constB119) | v112(constB119)) | (~v112(constB119))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16374,plain,
% 7.36/5.51 (v111(constB119) | v112(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16373, 16372])).
% 7.36/5.51 tff(16375,plain,
% 7.36/5.51 ((~(v108(constB119) <=> (v111(constB119) | v112(constB119)))) | v108(constB119) | (~(v111(constB119) | v112(constB119)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16376,plain,
% 7.36/5.51 (v108(constB119)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16375, 16374, 16348])).
% 7.36/5.51 tff(16377,plain,
% 7.36/5.51 ((~(v110(constB120) <=> v108(constB119))) | v110(constB120) | (~v108(constB119))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16378,plain,
% 7.36/5.51 (v110(constB120)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16377, 16376, 16346])).
% 7.36/5.51 tff(16379,plain,
% 7.36/5.51 ((~((~v101(constB120)) | (~v110(constB120)))) | (~v101(constB120)) | (~v110(constB120))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16380,plain,
% 7.36/5.51 (~((~v101(constB120)) | (~v110(constB120)))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16379, 16378, 16342])).
% 7.36/5.51 tff(16381,plain,
% 7.36/5.51 ((~(v100(constB120) <=> (~((~v101(constB120)) | (~v110(constB120)))))) | v100(constB120) | ((~v101(constB120)) | (~v110(constB120)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16382,plain,
% 7.36/5.51 (v100(constB120)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16381, 16380, 16314])).
% 7.36/5.51 tff(16383,plain,
% 7.36/5.51 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16384,plain,
% 7.36/5.51 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB120)) | (~(((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0)))))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16385,plain,
% 7.36/5.51 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB120)) | (~(((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))))),
% 7.36/5.51 inference(modus_ponens,[status(thm)],[16384, 16383])).
% 7.36/5.51 tff(16386,plain,
% 7.36/5.51 ((~v100(constB120)) | (~(((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16385, 4151])).
% 7.36/5.51 tff(16387,plain,
% 7.36/5.51 (~(((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0)))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16386, 16382])).
% 7.36/5.51 tff(16388,plain,
% 7.36/5.51 ((((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))) | (~((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16389,plain,
% 7.36/5.51 (~((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16388, 16387])).
% 7.36/5.51 tff(16390,plain,
% 7.36/5.51 (((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | v90(constB120, bitIndex2) | (~v129(constB120, bitIndex2))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16391,plain,
% 7.36/5.51 (v90(constB120, bitIndex2)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16390, 16389, 16310])).
% 7.36/5.51 tff(16392,plain,
% 7.36/5.51 (((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | v90(constB121, bitIndex2) | (~v90(constB120, bitIndex2))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16393,plain,
% 7.36/5.51 (v90(constB121, bitIndex2)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16392, 16391, 14532])).
% 7.36/5.51 tff(16394,plain,
% 7.36/5.51 ((v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex2))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16395,plain,
% 7.36/5.51 (v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16394, 16393])).
% 7.36/5.51 tff(16396,plain,
% 7.36/5.51 ((~(v119(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2))))) | (~v119(constB121)) | (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | v90(constB121, bitIndex2)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16397,plain,
% 7.36/5.51 (~v119(constB121)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16396, 16395, 14496])).
% 7.36/5.51 tff(16398,plain,
% 7.36/5.51 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex0))))))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16399,plain,
% 7.36/5.51 ((v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2))))) <=> (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex0)))))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16400,plain,
% 7.36/5.51 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex0))))))),
% 7.36/5.51 inference(monotonicity,[status(thm)],[16399])).
% 7.36/5.51 tff(16401,plain,
% 7.36/5.51 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex0))))))),
% 7.36/5.51 inference(transitivity,[status(thm)],[16400, 16398])).
% 7.36/5.51 tff(16402,plain,
% 7.36/5.51 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex2)))))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.51 tff(16403,plain,
% 7.36/5.51 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex0)))))),
% 7.36/5.51 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 7.36/5.51 tff(16404,plain,
% 7.36/5.51 (v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex0))))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16403, 801])).
% 7.36/5.51 tff(16405,plain,
% 7.36/5.51 ((((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))) | (~((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16406,plain,
% 7.36/5.51 (~((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16405, 14530])).
% 7.36/5.51 tff(16407,plain,
% 7.36/5.51 ((((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0))) | (~((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16408,plain,
% 7.36/5.51 (~((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16407, 14539])).
% 7.36/5.51 tff(16409,plain,
% 7.36/5.51 ((((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1))) | (~((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16410,plain,
% 7.36/5.51 (~((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16409, 14553])).
% 7.36/5.51 tff(16411,plain,
% 7.36/5.51 ((v130(constB119, bitIndex0) | (~v130(constB119, bitIndex2)) | (~v130(constB119, bitIndex1))) | v130(constB119, bitIndex1)),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16412,plain,
% 7.36/5.51 (v130(constB119, bitIndex1)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16411, 16304])).
% 7.36/5.51 tff(16413,plain,
% 7.36/5.51 (((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1)) | v127(constB119, bitIndex1) | (~v130(constB119, bitIndex1))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16414,plain,
% 7.36/5.51 (v127(constB119, bitIndex1)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16413, 16412, 16410])).
% 7.36/5.51 tff(16415,plain,
% 7.36/5.51 (((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | v129(constB120, bitIndex1) | (~v127(constB119, bitIndex1))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16416,plain,
% 7.36/5.51 (v129(constB120, bitIndex1)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16415, 16414, 16408])).
% 7.36/5.51 tff(16417,plain,
% 7.36/5.51 ((((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))) | (~((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16418,plain,
% 7.36/5.51 (~((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16417, 16387])).
% 7.36/5.51 tff(16419,plain,
% 7.36/5.51 (((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16420,plain,
% 7.36/5.51 (v90(constB120, bitIndex1)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16419, 16418, 16416])).
% 7.36/5.51 tff(16421,plain,
% 7.36/5.51 (((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | v90(constB121, bitIndex1) | (~v90(constB120, bitIndex1))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16422,plain,
% 7.36/5.51 (v90(constB121, bitIndex1)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16421, 16420, 16406])).
% 7.36/5.51 tff(16423,plain,
% 7.36/5.51 ((v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex0))) | (~v90(constB121, bitIndex1))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16424,plain,
% 7.36/5.51 (v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex0))),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16423, 16422])).
% 7.36/5.51 tff(16425,plain,
% 7.36/5.51 ((~(v124(constB121) <=> (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex0)))))) | (~v124(constB121)) | (~(v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)) | (~v90(constB121, bitIndex0))))),
% 7.36/5.51 inference(tautology,[status(thm)],[])).
% 7.36/5.51 tff(16426,plain,
% 7.36/5.51 (~v124(constB121)),
% 7.36/5.51 inference(unit_resolution,[status(thm)],[16425, 16424, 16404])).
% 7.36/5.51 tff(16427,plain,
% 7.36/5.51 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex2))))))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16428,plain,
% 7.36/5.51 ((v123(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2))))) <=> (v123(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex2)))))),
% 7.36/5.51 inference(rewrite,[status(thm)],[])).
% 7.36/5.51 tff(16429,plain,
% 7.36/5.51 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex2))))))),
% 7.36/5.51 inference(monotonicity,[status(thm)],[16428])).
% 7.36/5.51 tff(16430,plain,
% 7.36/5.51 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex2))))))),
% 7.36/5.51 inference(transitivity,[status(thm)],[16429, 16427])).
% 7.36/5.51 tff(16431,plain,
% 7.36/5.51 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex1) | (~v90(constB121, bitIndex2)))))),
% 7.36/5.51 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16432,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex2)))))),
% 7.36/5.52 inference(modus_ponens,[status(thm)],[16431, 16430])).
% 7.36/5.52 tff(16433,plain,
% 7.36/5.52 (v123(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex2))))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16432, 880])).
% 7.36/5.52 tff(16434,plain,
% 7.36/5.52 ((v90(constB121, bitIndex1) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex2))) | (~v90(constB121, bitIndex1))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16435,plain,
% 7.36/5.52 (v90(constB121, bitIndex1) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex2))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16434, 16422])).
% 7.36/5.52 tff(16436,plain,
% 7.36/5.52 ((~(v123(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex2)))))) | (~v123(constB121)) | (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex2))))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16437,plain,
% 7.36/5.52 (~v123(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16436, 16435, 16433])).
% 7.36/5.52 tff(16438,plain,
% 7.36/5.52 (((~![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))))))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16439,plain,
% 7.36/5.52 ((v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1))))) <=> (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16440,plain,
% 7.36/5.52 (((~![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))))))),
% 7.36/5.52 inference(monotonicity,[status(thm)],[16439])).
% 7.36/5.52 tff(16441,plain,
% 7.36/5.52 (((~![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))))))),
% 7.36/5.52 inference(transitivity,[status(thm)],[16440, 16438])).
% 7.36/5.52 tff(16442,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)))))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16443,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))),
% 7.36/5.52 inference(modus_ponens,[status(thm)],[16442, 16441])).
% 7.36/5.52 tff(16444,plain,
% 7.36/5.52 (v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16443, 959])).
% 7.36/5.52 tff(16445,plain,
% 7.36/5.52 ((v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))) | (~v90(constB121, bitIndex2))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16446,plain,
% 7.36/5.52 (v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16445, 16393])).
% 7.36/5.52 tff(16447,plain,
% 7.36/5.52 ((~(v122(constB121) <=> (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0)))))) | (~v122(constB121)) | (~(v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex0))))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16448,plain,
% 7.36/5.52 (~v122(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16447, 16446, 16444])).
% 7.36/5.52 tff(16449,plain,
% 7.36/5.52 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1))))))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16450,plain,
% 7.36/5.52 ((v121(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1))))) <=> (v121(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)))))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16451,plain,
% 7.36/5.52 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1))))))),
% 7.36/5.52 inference(monotonicity,[status(thm)],[16450])).
% 7.36/5.52 tff(16452,plain,
% 7.36/5.52 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1))))))),
% 7.36/5.52 inference(transitivity,[status(thm)],[16451, 16449])).
% 7.36/5.52 tff(16453,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex0) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex1)))))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16454,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)))))),
% 7.36/5.52 inference(modus_ponens,[status(thm)],[16453, 16452])).
% 7.36/5.52 tff(16455,plain,
% 7.36/5.52 (v121(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1))))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16454, 574])).
% 7.36/5.52 tff(16456,plain,
% 7.36/5.52 ((v90(constB121, bitIndex2) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1))) | (~v90(constB121, bitIndex2))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16457,plain,
% 7.36/5.52 (v90(constB121, bitIndex2) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16456, 16393])).
% 7.36/5.52 tff(16458,plain,
% 7.36/5.52 ((~(v121(constB121) <=> (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)))))) | (~v121(constB121)) | (~(v90(constB121, bitIndex2) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1))))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16459,plain,
% 7.36/5.52 (~v121(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16458, 16457, 16455])).
% 7.36/5.52 tff(16460,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)))))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16461,plain,
% 7.36/5.52 (v120(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0))))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16460, 653])).
% 7.36/5.52 tff(16462,plain,
% 7.36/5.52 ((v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0))) | (~v90(constB121, bitIndex2))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16463,plain,
% 7.36/5.52 (v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16462, 16393])).
% 7.36/5.52 tff(16464,plain,
% 7.36/5.52 ((~(v120(constB121) <=> (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0)))))) | (~v120(constB121)) | (~(v90(constB121, bitIndex1) | v90(constB121, bitIndex2) | (~v90(constB121, bitIndex0))))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16465,plain,
% 7.36/5.52 (~v120(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16464, 16463, 16461])).
% 7.36/5.52 tff(16466,plain,
% 7.36/5.52 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, 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(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0)))))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16467,plain,
% 7.36/5.52 ((v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0))))) <=> (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0)))))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16468,plain,
% 7.36/5.52 ((~(v130(constB121, bitIndex1) | v130(constB121, bitIndex2) | (~v130(constB121, bitIndex0)))) <=> (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0))))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16469,plain,
% 7.36/5.52 ((v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex2) | (~v130(constB121, bitIndex0))))) <=> (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0)))))),
% 7.36/5.52 inference(monotonicity,[status(thm)],[16468])).
% 7.36/5.52 tff(16470,plain,
% 7.36/5.52 ((v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex2) | (~v130(constB121, bitIndex0))))) <=> (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0)))))),
% 7.36/5.52 inference(transitivity,[status(thm)],[16469, 16467])).
% 7.36/5.52 tff(16471,plain,
% 7.36/5.52 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex2) | (~v130(constB121, 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(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0))))))),
% 7.36/5.52 inference(monotonicity,[status(thm)],[16470])).
% 7.36/5.52 tff(16472,plain,
% 7.36/5.52 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex2) | (~v130(constB121, 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(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0)))))),
% 7.36/5.52 inference(transitivity,[status(thm)],[16471, 16466])).
% 7.36/5.52 tff(16473,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB121) | v123(constB121) | v122(constB121) | v121(constB121) | v120(constB121) | v119(constB121) | (~(v130(constB121, bitIndex1) | v130(constB121, bitIndex2) | (~v130(constB121, bitIndex0)))))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16474,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0))))),
% 7.36/5.52 inference(modus_ponens,[status(thm)],[16473, 16472])).
% 7.36/5.52 tff(16475,plain,
% 7.36/5.52 (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0))))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16474, 5057])).
% 7.36/5.52 tff(16476,plain,
% 7.36/5.52 (~(v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0)))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16475, 16465, 16459, 16448, 16437, 16426, 16397])).
% 7.36/5.52 tff(16477,plain,
% 7.36/5.52 ((v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0))) | (~v130(constB121, bitIndex2))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16478,plain,
% 7.36/5.52 (~v130(constB121, bitIndex2)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16477, 16476])).
% 7.36/5.52 tff(16479,plain,
% 7.36/5.52 (((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | (~v127(constB121, bitIndex2)) | v130(constB121, bitIndex2)),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16480,plain,
% 7.36/5.52 (~v127(constB121, bitIndex2)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16479, 16478, 14494])).
% 7.36/5.52 tff(16481,plain,
% 7.36/5.52 (((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | (~v129(constB122, bitIndex2)) | v127(constB121, bitIndex2)),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16482,plain,
% 7.36/5.52 (~v129(constB122, bitIndex2)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16481, 16480, 14480])).
% 7.36/5.52 tff(16483,plain,
% 7.36/5.52 (((~![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))))))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16484,plain,
% 7.36/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16485,plain,
% 7.36/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB121, constB122)) | (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))),
% 7.36/5.52 inference(modus_ponens,[status(thm)],[16484, 16483])).
% 7.36/5.52 tff(16486,plain,
% 7.36/5.52 (v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122))))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16485, 14474, 433])).
% 7.36/5.52 tff(16487,plain,
% 7.36/5.52 (((~![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))))))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16488,plain,
% 7.36/5.52 (((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122)))))) <=> ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16489,plain,
% 7.36/5.52 (((~![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)))))))),
% 7.36/5.52 inference(monotonicity,[status(thm)],[16488])).
% 7.36/5.52 tff(16490,plain,
% 7.36/5.52 (((~![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))))))),
% 7.36/5.52 inference(transitivity,[status(thm)],[16489, 16487])).
% 7.36/5.52 tff(16491,plain,
% 7.36/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v102(constB122)) | (~v1(constB122))))))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16492,plain,
% 7.36/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))),
% 7.36/5.52 inference(modus_ponens,[status(thm)],[16491, 16490])).
% 7.36/5.52 tff(16493,plain,
% 7.36/5.52 (v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122))))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16492, 14474, 453])).
% 7.36/5.52 tff(16494,plain,
% 7.36/5.52 (((~![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)))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16495,plain,
% 7.36/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122)))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16496,plain,
% 7.36/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB121, constB122)) | ((~v102(constB122)) <=> v104(constB122))),
% 7.36/5.52 inference(modus_ponens,[status(thm)],[16495, 16494])).
% 7.36/5.52 tff(16497,plain,
% 7.36/5.52 ((~v102(constB122)) <=> v104(constB122)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16496, 14474, 3966])).
% 7.36/5.52 tff(16498,plain,
% 7.36/5.52 (((~![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)))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16499,plain,
% 7.36/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121)))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16500,plain,
% 7.36/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v1(constB121))),
% 7.36/5.52 inference(modus_ponens,[status(thm)],[16499, 16498])).
% 7.36/5.52 tff(16501,plain,
% 7.36/5.52 (v104(constB122) <=> v1(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16500, 14474, 3980])).
% 7.36/5.52 tff(16502,plain,
% 7.36/5.52 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122)) | v1(constB121)),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16503,plain,
% 7.36/5.52 ((~(v104(constB122) <=> v1(constB121))) | (~v104(constB122))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16502, 14513])).
% 7.36/5.52 tff(16504,plain,
% 7.36/5.52 (~v104(constB122)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16503, 16501])).
% 7.36/5.52 tff(16505,plain,
% 7.36/5.52 ((~((~v102(constB122)) <=> v104(constB122))) | v102(constB122) | v104(constB122)),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16506,plain,
% 7.36/5.52 (v102(constB122)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16505, 16504, 16497])).
% 7.36/5.52 tff(16507,plain,
% 7.36/5.52 (v1(constB122) <=> v1(constB122)),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16508,axiom,(v1(constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_122')).
% 7.36/5.52 tff(16509,plain,
% 7.36/5.52 (v1(constB122)),
% 7.36/5.52 inference(modus_ponens,[status(thm)],[16508, 16507])).
% 7.36/5.52 tff(16510,plain,
% 7.36/5.52 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v1(constB122)) | (~v102(constB122))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16511,plain,
% 7.36/5.52 ((~((~v1(constB122)) | (~v102(constB122)))) | (~v102(constB122))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16510, 16509])).
% 7.36/5.52 tff(16512,plain,
% 7.36/5.52 (~((~v1(constB122)) | (~v102(constB122)))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16511, 16506])).
% 7.36/5.52 tff(16513,plain,
% 7.36/5.52 ((~(v101(constB122) <=> (~((~v1(constB122)) | (~v102(constB122)))))) | v101(constB122) | ((~v1(constB122)) | (~v102(constB122)))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16514,plain,
% 7.36/5.52 (v101(constB122)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16513, 16512, 16493])).
% 7.36/5.52 tff(16515,plain,
% 7.36/5.52 (((~![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)))),
% 7.36/5.52 inference(rewrite,[status(thm)],[])).
% 7.36/5.52 tff(16516,plain,
% 7.36/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121)))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16517,plain,
% 7.36/5.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB121, constB122)) | (v110(constB122) <=> v108(constB121))),
% 7.36/5.52 inference(modus_ponens,[status(thm)],[16516, 16515])).
% 7.36/5.52 tff(16518,plain,
% 7.36/5.52 (v110(constB122) <=> v108(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16517, 14474, 4007])).
% 7.36/5.52 tff(16519,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB121) <=> (v111(constB121) | v112(constB121)))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16520,plain,
% 7.36/5.52 (v108(constB121) <=> (v111(constB121) | v112(constB121))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16519, 4018])).
% 7.36/5.52 tff(16521,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16522,plain,
% 7.36/5.52 (v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121))))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16521, 4030])).
% 7.36/5.52 tff(16523,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB121) <=> (v114(constB121) | v125(constB121)))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16524,plain,
% 7.36/5.52 (v113(constB121) <=> (v114(constB121) | v125(constB121))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16523, 4039])).
% 7.36/5.52 tff(16525,plain,
% 7.36/5.52 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB121) <=> (~(v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)))))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16526,plain,
% 7.36/5.52 (v125(constB121) <=> (~(v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2))))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16525, 5129])).
% 7.36/5.52 tff(16527,plain,
% 7.36/5.52 ((((~v90(constB121, bitIndex1)) <=> v90(constB120, bitIndex1)) | ((~v90(constB121, bitIndex2)) <=> v90(constB120, bitIndex2)) | ((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))) | (~((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16528,plain,
% 7.36/5.52 (~((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16527, 14530])).
% 7.36/5.52 tff(16529,plain,
% 7.36/5.52 ((((~v129(constB120, bitIndex2)) <=> v127(constB119, bitIndex2)) | ((~v129(constB120, bitIndex1)) <=> v127(constB119, bitIndex1)) | ((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0))) | (~((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0)))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16530,plain,
% 7.36/5.52 (~((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16529, 14539])).
% 7.36/5.52 tff(16531,plain,
% 7.36/5.52 ((((~v127(constB119, bitIndex2)) <=> v130(constB119, bitIndex2)) | ((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)) | ((~v127(constB119, bitIndex1)) <=> v130(constB119, bitIndex1))) | (~((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16532,plain,
% 7.36/5.52 (~((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16531, 14553])).
% 7.36/5.52 tff(16533,plain,
% 7.36/5.52 ((v130(constB119, bitIndex0) | (~v130(constB119, bitIndex2)) | (~v130(constB119, bitIndex1))) | (~v130(constB119, bitIndex0))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16534,plain,
% 7.36/5.52 (~v130(constB119, bitIndex0)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16533, 16304])).
% 7.36/5.52 tff(16535,plain,
% 7.36/5.52 (((~v127(constB119, bitIndex0)) <=> v130(constB119, bitIndex0)) | (~v127(constB119, bitIndex0)) | v130(constB119, bitIndex0)),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16536,plain,
% 7.36/5.52 (~v127(constB119, bitIndex0)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16535, 16534, 16532])).
% 7.36/5.52 tff(16537,plain,
% 7.36/5.52 (((~v129(constB120, bitIndex0)) <=> v127(constB119, bitIndex0)) | (~v129(constB120, bitIndex0)) | v127(constB119, bitIndex0)),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16538,plain,
% 7.36/5.52 (~v129(constB120, bitIndex0)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16537, 16536, 16530])).
% 7.36/5.52 tff(16539,plain,
% 7.36/5.52 ((((~v90(constB120, bitIndex2)) <=> v129(constB120, bitIndex2)) | ((~v90(constB120, bitIndex1)) <=> v129(constB120, bitIndex1)) | ((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))) | (~((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0)))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16540,plain,
% 7.36/5.52 (~((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16539, 16387])).
% 7.36/5.52 tff(16541,plain,
% 7.36/5.52 (((~v90(constB120, bitIndex0)) <=> v129(constB120, bitIndex0)) | (~v90(constB120, bitIndex0)) | v129(constB120, bitIndex0)),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16542,plain,
% 7.36/5.52 (~v90(constB120, bitIndex0)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16541, 16540, 16538])).
% 7.36/5.52 tff(16543,plain,
% 7.36/5.52 (((~v90(constB121, bitIndex0)) <=> v90(constB120, bitIndex0)) | (~v90(constB121, bitIndex0)) | v90(constB120, bitIndex0)),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16544,plain,
% 7.36/5.52 (~v90(constB121, bitIndex0)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16543, 16542, 16528])).
% 7.36/5.52 tff(16545,plain,
% 7.36/5.52 ((~(v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)))) | v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16546,plain,
% 7.36/5.52 (~(v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)))),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16545, 16422, 16544, 16393])).
% 7.36/5.52 tff(16547,plain,
% 7.36/5.52 ((~(v125(constB121) <=> (~(v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)))))) | v125(constB121) | (v90(constB121, bitIndex0) | (~v90(constB121, bitIndex1)) | (~v90(constB121, bitIndex2)))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16548,plain,
% 7.36/5.52 (v125(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16547, 16546, 16526])).
% 7.36/5.52 tff(16549,plain,
% 7.36/5.52 ((v114(constB121) | v125(constB121)) | (~v125(constB121))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16550,plain,
% 7.36/5.52 (v114(constB121) | v125(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16549, 16548])).
% 7.36/5.52 tff(16551,plain,
% 7.36/5.52 ((~(v113(constB121) <=> (v114(constB121) | v125(constB121)))) | v113(constB121) | (~(v114(constB121) | v125(constB121)))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16552,plain,
% 7.36/5.52 (v113(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16551, 16550, 16524])).
% 7.36/5.52 tff(16553,plain,
% 7.36/5.52 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB121)) <=> v111(constB121))),
% 7.36/5.52 inference(quant_inst,[status(thm)],[])).
% 7.36/5.52 tff(16554,plain,
% 7.36/5.52 ((~v126(constB121)) <=> v111(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16553, 4118])).
% 7.36/5.52 tff(16555,plain,
% 7.36/5.52 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121) | v111(constB121)),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16556,plain,
% 7.36/5.52 ((~((~v126(constB121)) <=> v111(constB121))) | v126(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16555, 14487])).
% 7.36/5.52 tff(16557,plain,
% 7.36/5.52 (v126(constB121)),
% 7.36/5.52 inference(unit_resolution,[status(thm)],[16556, 16554])).
% 7.36/5.52 tff(16558,plain,
% 7.36/5.52 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121)) | (~v126(constB121))),
% 7.36/5.52 inference(tautology,[status(thm)],[])).
% 7.36/5.52 tff(16559,plain,
% 7.36/5.53 ((~((~v113(constB121)) | (~v126(constB121)))) | (~v113(constB121))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16558, 16557])).
% 7.36/5.53 tff(16560,plain,
% 7.36/5.53 (~((~v113(constB121)) | (~v126(constB121)))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16559, 16552])).
% 7.36/5.53 tff(16561,plain,
% 7.36/5.53 ((~(v112(constB121) <=> (~((~v113(constB121)) | (~v126(constB121)))))) | v112(constB121) | ((~v113(constB121)) | (~v126(constB121)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16562,plain,
% 7.36/5.53 (v112(constB121)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16561, 16560, 16522])).
% 7.36/5.53 tff(16563,plain,
% 7.36/5.53 ((v111(constB121) | v112(constB121)) | (~v112(constB121))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16564,plain,
% 7.36/5.53 (v111(constB121) | v112(constB121)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16563, 16562])).
% 7.36/5.53 tff(16565,plain,
% 7.36/5.53 ((~(v108(constB121) <=> (v111(constB121) | v112(constB121)))) | v108(constB121) | (~(v111(constB121) | v112(constB121)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16566,plain,
% 7.36/5.53 (v108(constB121)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16565, 16564, 16520])).
% 7.36/5.53 tff(16567,plain,
% 7.36/5.53 ((~(v110(constB122) <=> v108(constB121))) | v110(constB122) | (~v108(constB121))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16568,plain,
% 7.36/5.53 (v110(constB122)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16567, 16566, 16518])).
% 7.36/5.53 tff(16569,plain,
% 7.36/5.53 ((~((~v101(constB122)) | (~v110(constB122)))) | (~v101(constB122)) | (~v110(constB122))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16570,plain,
% 7.36/5.53 (~((~v101(constB122)) | (~v110(constB122)))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16569, 16568, 16514])).
% 7.36/5.53 tff(16571,plain,
% 7.36/5.53 ((~(v100(constB122) <=> (~((~v101(constB122)) | (~v110(constB122)))))) | v100(constB122) | ((~v101(constB122)) | (~v110(constB122)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16572,plain,
% 7.36/5.53 (v100(constB122)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16571, 16570, 16486])).
% 7.36/5.53 tff(16573,plain,
% 7.36/5.53 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.36/5.53 inference(rewrite,[status(thm)],[])).
% 7.36/5.53 tff(16574,plain,
% 7.36/5.53 (((~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)))))),
% 7.36/5.53 inference(rewrite,[status(thm)],[])).
% 7.36/5.53 tff(16575,plain,
% 7.36/5.53 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 7.36/5.53 inference(monotonicity,[status(thm)],[16574])).
% 7.36/5.53 tff(16576,plain,
% 7.36/5.53 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.36/5.53 inference(transitivity,[status(thm)],[16575, 16573])).
% 7.36/5.53 tff(16577,plain,
% 7.36/5.53 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB122)) | (~(((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)) | ((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)))))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16578,plain,
% 7.36/5.53 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB122)) | (~(((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))))),
% 7.36/5.53 inference(modus_ponens,[status(thm)],[16577, 16576])).
% 7.36/5.53 tff(16579,plain,
% 7.36/5.53 ((~v100(constB122)) | (~(((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16578, 4151])).
% 7.36/5.53 tff(16580,plain,
% 7.36/5.53 (~(((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16579, 16572])).
% 7.36/5.53 tff(16581,plain,
% 7.36/5.53 ((((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))) | (~((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16582,plain,
% 7.36/5.53 (~((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16581, 16580])).
% 7.36/5.53 tff(16583,plain,
% 7.36/5.53 (((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | (~v90(constB122, bitIndex2)) | v129(constB122, bitIndex2)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16584,plain,
% 7.36/5.53 (~v90(constB122, bitIndex2)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16583, 16582, 16482])).
% 7.36/5.53 tff(16585,plain,
% 7.36/5.53 (((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | (~v90(constB123, bitIndex2)) | v90(constB122, bitIndex2)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16586,plain,
% 7.36/5.53 (~v90(constB123, bitIndex2)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16585, 16584, 14471])).
% 7.36/5.53 tff(16587,plain,
% 7.36/5.53 ((((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))) | (~((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16588,plain,
% 7.36/5.53 (~((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16587, 14469])).
% 7.36/5.53 tff(16589,plain,
% 7.36/5.53 ((((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0))) | (~((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16590,plain,
% 7.36/5.53 (~((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16589, 14478])).
% 7.36/5.53 tff(16591,plain,
% 7.36/5.53 ((((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1))) | (~((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16592,plain,
% 7.36/5.53 (~((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16591, 14492])).
% 7.36/5.53 tff(16593,plain,
% 7.36/5.53 ((v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0))) | v130(constB121, bitIndex0)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16594,plain,
% 7.36/5.53 (v130(constB121, bitIndex0)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16593, 16476])).
% 7.36/5.53 tff(16595,plain,
% 7.36/5.53 (((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)) | v127(constB121, bitIndex0) | (~v130(constB121, bitIndex0))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16596,plain,
% 7.36/5.53 (v127(constB121, bitIndex0)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16595, 16594, 16592])).
% 7.36/5.53 tff(16597,plain,
% 7.36/5.53 (((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0)) | v129(constB122, bitIndex0) | (~v127(constB121, bitIndex0))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16598,plain,
% 7.36/5.53 (v129(constB122, bitIndex0)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16597, 16596, 16590])).
% 7.36/5.53 tff(16599,plain,
% 7.36/5.53 ((((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))) | (~((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16600,plain,
% 7.36/5.53 (~((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16599, 16580])).
% 7.36/5.53 tff(16601,plain,
% 7.36/5.53 (((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | v90(constB122, bitIndex0) | (~v129(constB122, bitIndex0))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16602,plain,
% 7.36/5.53 (v90(constB122, bitIndex0)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16601, 16600, 16598])).
% 7.36/5.53 tff(16603,plain,
% 7.36/5.53 (((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0)) | v90(constB123, bitIndex0) | (~v90(constB122, bitIndex0))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16604,plain,
% 7.36/5.53 (v90(constB123, bitIndex0)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16603, 16602, 16588])).
% 7.36/5.53 tff(16605,plain,
% 7.36/5.53 ((((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | ((~v90(constB123, bitIndex2)) <=> v90(constB122, bitIndex2)) | ((~v90(constB123, bitIndex0)) <=> v90(constB122, bitIndex0))) | (~((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16606,plain,
% 7.36/5.53 (~((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16605, 14469])).
% 7.36/5.53 tff(16607,plain,
% 7.36/5.53 ((((~v129(constB122, bitIndex2)) <=> v127(constB121, bitIndex2)) | ((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | ((~v129(constB122, bitIndex0)) <=> v127(constB121, bitIndex0))) | (~((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16608,plain,
% 7.36/5.53 (~((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16607, 14478])).
% 7.36/5.53 tff(16609,plain,
% 7.36/5.53 ((((~v127(constB121, bitIndex2)) <=> v130(constB121, bitIndex2)) | ((~v127(constB121, bitIndex0)) <=> v130(constB121, bitIndex0)) | ((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1))) | (~((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16610,plain,
% 7.36/5.53 (~((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16609, 14492])).
% 7.36/5.53 tff(16611,plain,
% 7.36/5.53 ((v130(constB121, bitIndex2) | v130(constB121, bitIndex1) | (~v130(constB121, bitIndex0))) | (~v130(constB121, bitIndex1))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16612,plain,
% 7.36/5.53 (~v130(constB121, bitIndex1)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16611, 16476])).
% 7.36/5.53 tff(16613,plain,
% 7.36/5.53 (((~v127(constB121, bitIndex1)) <=> v130(constB121, bitIndex1)) | (~v127(constB121, bitIndex1)) | v130(constB121, bitIndex1)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16614,plain,
% 7.36/5.53 (~v127(constB121, bitIndex1)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16613, 16612, 16610])).
% 7.36/5.53 tff(16615,plain,
% 7.36/5.53 (((~v129(constB122, bitIndex1)) <=> v127(constB121, bitIndex1)) | (~v129(constB122, bitIndex1)) | v127(constB121, bitIndex1)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16616,plain,
% 7.36/5.53 (~v129(constB122, bitIndex1)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16615, 16614, 16608])).
% 7.36/5.53 tff(16617,plain,
% 7.36/5.53 ((((~v90(constB122, bitIndex0)) <=> v129(constB122, bitIndex0)) | ((~v90(constB122, bitIndex2)) <=> v129(constB122, bitIndex2)) | ((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))) | (~((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16618,plain,
% 7.36/5.53 (~((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16617, 16580])).
% 7.36/5.53 tff(16619,plain,
% 7.36/5.53 (((~v90(constB122, bitIndex1)) <=> v129(constB122, bitIndex1)) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16620,plain,
% 7.36/5.53 (~v90(constB122, bitIndex1)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16619, 16618, 16616])).
% 7.36/5.53 tff(16621,plain,
% 7.36/5.53 (((~v90(constB123, bitIndex1)) <=> v90(constB122, bitIndex1)) | (~v90(constB123, bitIndex1)) | v90(constB122, bitIndex1)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16622,plain,
% 7.36/5.53 (~v90(constB123, bitIndex1)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16621, 16620, 16606])).
% 7.36/5.53 tff(16623,plain,
% 7.36/5.53 ((~(v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0)))) | v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16624,plain,
% 7.36/5.53 (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0)))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16623, 16622, 16604, 16586])).
% 7.36/5.53 tff(16625,plain,
% 7.36/5.53 ((~(v120(constB123) <=> (~(v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0)))))) | v120(constB123) | (v90(constB123, bitIndex1) | v90(constB123, bitIndex2) | (~v90(constB123, bitIndex0)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16626,plain,
% 7.36/5.53 (v120(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16625, 16624, 14435])).
% 7.36/5.53 tff(16627,plain,
% 7.36/5.53 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB123)) | (~(v130(constB123, bitIndex2) | v130(constB123, bitIndex0) | (~v130(constB123, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB123)) | (~(v130(constB123, bitIndex2) | v130(constB123, bitIndex0) | (~v130(constB123, bitIndex1)))))),
% 7.36/5.53 inference(rewrite,[status(thm)],[])).
% 7.36/5.53 tff(16628,plain,
% 7.36/5.53 (((~v120(constB123)) | (~(v130(constB123, bitIndex0) | v130(constB123, bitIndex2) | (~v130(constB123, bitIndex1))))) <=> ((~v120(constB123)) | (~(v130(constB123, bitIndex2) | v130(constB123, bitIndex0) | (~v130(constB123, bitIndex1)))))),
% 7.36/5.53 inference(rewrite,[status(thm)],[])).
% 7.36/5.53 tff(16629,plain,
% 7.36/5.53 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB123)) | (~(v130(constB123, bitIndex0) | v130(constB123, bitIndex2) | (~v130(constB123, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB123)) | (~(v130(constB123, bitIndex2) | v130(constB123, bitIndex0) | (~v130(constB123, bitIndex1))))))),
% 7.36/5.53 inference(monotonicity,[status(thm)],[16628])).
% 7.36/5.53 tff(16630,plain,
% 7.36/5.53 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB123)) | (~(v130(constB123, bitIndex0) | v130(constB123, bitIndex2) | (~v130(constB123, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB123)) | (~(v130(constB123, bitIndex2) | v130(constB123, bitIndex0) | (~v130(constB123, bitIndex1)))))),
% 7.36/5.53 inference(transitivity,[status(thm)],[16629, 16627])).
% 7.36/5.53 tff(16631,plain,
% 7.36/5.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB123)) | (~(v130(constB123, bitIndex0) | v130(constB123, bitIndex2) | (~v130(constB123, bitIndex1)))))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16632,plain,
% 7.36/5.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB123)) | (~(v130(constB123, bitIndex2) | v130(constB123, bitIndex0) | (~v130(constB123, bitIndex1))))),
% 7.36/5.53 inference(modus_ponens,[status(thm)],[16631, 16630])).
% 7.36/5.53 tff(16633,plain,
% 7.36/5.53 ((~v120(constB123)) | (~(v130(constB123, bitIndex2) | v130(constB123, bitIndex0) | (~v130(constB123, bitIndex1))))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16632, 4218])).
% 7.36/5.53 tff(16634,plain,
% 7.36/5.53 (~(v130(constB123, bitIndex2) | v130(constB123, bitIndex0) | (~v130(constB123, bitIndex1)))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16633, 16626])).
% 7.36/5.53 tff(16635,plain,
% 7.36/5.53 ((v130(constB123, bitIndex2) | v130(constB123, bitIndex0) | (~v130(constB123, bitIndex1))) | (~v130(constB123, bitIndex2))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16636,plain,
% 7.36/5.53 (~v130(constB123, bitIndex2)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16635, 16634])).
% 7.36/5.53 tff(16637,plain,
% 7.36/5.53 (((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | (~v127(constB123, bitIndex2)) | v130(constB123, bitIndex2)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16638,plain,
% 7.36/5.53 (~v127(constB123, bitIndex2)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16637, 16636, 14433])).
% 7.36/5.53 tff(16639,plain,
% 7.36/5.53 (((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | (~v129(constB124, bitIndex2)) | v127(constB123, bitIndex2)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16640,plain,
% 7.36/5.53 (~v129(constB124, bitIndex2)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16639, 16638, 14419])).
% 7.36/5.53 tff(16641,plain,
% 7.36/5.53 (((~![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))))))),
% 7.36/5.53 inference(rewrite,[status(thm)],[])).
% 7.36/5.53 tff(16642,plain,
% 7.36/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16643,plain,
% 7.36/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB123, constB124)) | (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))),
% 7.36/5.53 inference(modus_ponens,[status(thm)],[16642, 16641])).
% 7.36/5.53 tff(16644,plain,
% 7.36/5.53 (v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124))))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16643, 14413, 433])).
% 7.36/5.53 tff(16645,plain,
% 7.36/5.53 (((~![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))))))),
% 7.36/5.53 inference(rewrite,[status(thm)],[])).
% 7.36/5.53 tff(16646,plain,
% 7.36/5.53 (((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124)))))) <=> ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))))),
% 7.36/5.53 inference(rewrite,[status(thm)],[])).
% 7.36/5.53 tff(16647,plain,
% 7.36/5.53 (((~![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)))))))),
% 7.36/5.53 inference(monotonicity,[status(thm)],[16646])).
% 7.36/5.53 tff(16648,plain,
% 7.36/5.53 (((~![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))))))),
% 7.36/5.53 inference(transitivity,[status(thm)],[16647, 16645])).
% 7.36/5.53 tff(16649,plain,
% 7.36/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v102(constB124)) | (~v1(constB124))))))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16650,plain,
% 7.36/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))),
% 7.36/5.53 inference(modus_ponens,[status(thm)],[16649, 16648])).
% 7.36/5.53 tff(16651,plain,
% 7.36/5.53 (v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124))))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16650, 14413, 453])).
% 7.36/5.53 tff(16652,plain,
% 7.36/5.53 (((~![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)))),
% 7.36/5.53 inference(rewrite,[status(thm)],[])).
% 7.36/5.53 tff(16653,plain,
% 7.36/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124)))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16654,plain,
% 7.36/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB123, constB124)) | ((~v102(constB124)) <=> v104(constB124))),
% 7.36/5.53 inference(modus_ponens,[status(thm)],[16653, 16652])).
% 7.36/5.53 tff(16655,plain,
% 7.36/5.53 ((~v102(constB124)) <=> v104(constB124)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16654, 14413, 3966])).
% 7.36/5.53 tff(16656,plain,
% 7.36/5.53 (((~![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)))),
% 7.36/5.53 inference(rewrite,[status(thm)],[])).
% 7.36/5.53 tff(16657,plain,
% 7.36/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123)))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16658,plain,
% 7.36/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v1(constB123))),
% 7.36/5.53 inference(modus_ponens,[status(thm)],[16657, 16656])).
% 7.36/5.53 tff(16659,plain,
% 7.36/5.53 (v104(constB124) <=> v1(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16658, 14413, 3980])).
% 7.36/5.53 tff(16660,plain,
% 7.36/5.53 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124)) | v1(constB123)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16661,plain,
% 7.36/5.53 ((~(v104(constB124) <=> v1(constB123))) | (~v104(constB124))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16660, 14452])).
% 7.36/5.53 tff(16662,plain,
% 7.36/5.53 (~v104(constB124)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16661, 16659])).
% 7.36/5.53 tff(16663,plain,
% 7.36/5.53 ((~((~v102(constB124)) <=> v104(constB124))) | v102(constB124) | v104(constB124)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16664,plain,
% 7.36/5.53 (v102(constB124)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16663, 16662, 16655])).
% 7.36/5.53 tff(16665,plain,
% 7.36/5.53 (v1(constB124) <=> v1(constB124)),
% 7.36/5.53 inference(rewrite,[status(thm)],[])).
% 7.36/5.53 tff(16666,axiom,(v1(constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_124')).
% 7.36/5.53 tff(16667,plain,
% 7.36/5.53 (v1(constB124)),
% 7.36/5.53 inference(modus_ponens,[status(thm)],[16666, 16665])).
% 7.36/5.53 tff(16668,plain,
% 7.36/5.53 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v1(constB124)) | (~v102(constB124))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16669,plain,
% 7.36/5.53 ((~((~v1(constB124)) | (~v102(constB124)))) | (~v102(constB124))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16668, 16667])).
% 7.36/5.53 tff(16670,plain,
% 7.36/5.53 (~((~v1(constB124)) | (~v102(constB124)))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16669, 16664])).
% 7.36/5.53 tff(16671,plain,
% 7.36/5.53 ((~(v101(constB124) <=> (~((~v1(constB124)) | (~v102(constB124)))))) | v101(constB124) | ((~v1(constB124)) | (~v102(constB124)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16672,plain,
% 7.36/5.53 (v101(constB124)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16671, 16670, 16651])).
% 7.36/5.53 tff(16673,plain,
% 7.36/5.53 (((~![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)))),
% 7.36/5.53 inference(rewrite,[status(thm)],[])).
% 7.36/5.53 tff(16674,plain,
% 7.36/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123)))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16675,plain,
% 7.36/5.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB123, constB124)) | (v110(constB124) <=> v108(constB123))),
% 7.36/5.53 inference(modus_ponens,[status(thm)],[16674, 16673])).
% 7.36/5.53 tff(16676,plain,
% 7.36/5.53 (v110(constB124) <=> v108(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16675, 14413, 4007])).
% 7.36/5.53 tff(16677,plain,
% 7.36/5.53 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB123) <=> (v111(constB123) | v112(constB123)))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16678,plain,
% 7.36/5.53 (v108(constB123) <=> (v111(constB123) | v112(constB123))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16677, 4018])).
% 7.36/5.53 tff(16679,plain,
% 7.36/5.53 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16680,plain,
% 7.36/5.53 (v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123))))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16679, 4030])).
% 7.36/5.53 tff(16681,plain,
% 7.36/5.53 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB123) <=> (v114(constB123) | v125(constB123)))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16682,plain,
% 7.36/5.53 (v113(constB123) <=> (v114(constB123) | v125(constB123))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16681, 4039])).
% 7.36/5.53 tff(16683,plain,
% 7.36/5.53 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB123) <=> (v115(constB123) | v124(constB123)))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16684,plain,
% 7.36/5.53 (v114(constB123) <=> (v115(constB123) | v124(constB123))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16683, 4048])).
% 7.36/5.53 tff(16685,plain,
% 7.36/5.53 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB123) <=> (v116(constB123) | v123(constB123)))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16686,plain,
% 7.36/5.53 (v115(constB123) <=> (v116(constB123) | v123(constB123))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16685, 4057])).
% 7.36/5.53 tff(16687,plain,
% 7.36/5.53 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB123) <=> (v117(constB123) | v122(constB123)))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16688,plain,
% 7.36/5.53 (v116(constB123) <=> (v117(constB123) | v122(constB123))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16687, 4066])).
% 7.36/5.53 tff(16689,plain,
% 7.36/5.53 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB123) <=> (v118(constB123) | v121(constB123)))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16690,plain,
% 7.36/5.53 (v117(constB123) <=> (v118(constB123) | v121(constB123))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16689, 4075])).
% 7.36/5.53 tff(16691,plain,
% 7.36/5.53 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB123) <=> (v119(constB123) | v120(constB123)))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16692,plain,
% 7.36/5.53 (v118(constB123) <=> (v119(constB123) | v120(constB123))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16691, 4084])).
% 7.36/5.53 tff(16693,plain,
% 7.36/5.53 ((v119(constB123) | v120(constB123)) | (~v120(constB123))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16694,plain,
% 7.36/5.53 (v119(constB123) | v120(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16693, 16626])).
% 7.36/5.53 tff(16695,plain,
% 7.36/5.53 ((~(v118(constB123) <=> (v119(constB123) | v120(constB123)))) | v118(constB123) | (~(v119(constB123) | v120(constB123)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16696,plain,
% 7.36/5.53 (v118(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16695, 16694, 16692])).
% 7.36/5.53 tff(16697,plain,
% 7.36/5.53 ((v118(constB123) | v121(constB123)) | (~v118(constB123))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16698,plain,
% 7.36/5.53 (v118(constB123) | v121(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16697, 16696])).
% 7.36/5.53 tff(16699,plain,
% 7.36/5.53 ((~(v117(constB123) <=> (v118(constB123) | v121(constB123)))) | v117(constB123) | (~(v118(constB123) | v121(constB123)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16700,plain,
% 7.36/5.53 (v117(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16699, 16698, 16690])).
% 7.36/5.53 tff(16701,plain,
% 7.36/5.53 ((v117(constB123) | v122(constB123)) | (~v117(constB123))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16702,plain,
% 7.36/5.53 (v117(constB123) | v122(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16701, 16700])).
% 7.36/5.53 tff(16703,plain,
% 7.36/5.53 ((~(v116(constB123) <=> (v117(constB123) | v122(constB123)))) | v116(constB123) | (~(v117(constB123) | v122(constB123)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16704,plain,
% 7.36/5.53 (v116(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16703, 16702, 16688])).
% 7.36/5.53 tff(16705,plain,
% 7.36/5.53 ((v116(constB123) | v123(constB123)) | (~v116(constB123))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16706,plain,
% 7.36/5.53 (v116(constB123) | v123(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16705, 16704])).
% 7.36/5.53 tff(16707,plain,
% 7.36/5.53 ((~(v115(constB123) <=> (v116(constB123) | v123(constB123)))) | v115(constB123) | (~(v116(constB123) | v123(constB123)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16708,plain,
% 7.36/5.53 (v115(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16707, 16706, 16686])).
% 7.36/5.53 tff(16709,plain,
% 7.36/5.53 ((v115(constB123) | v124(constB123)) | (~v115(constB123))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16710,plain,
% 7.36/5.53 (v115(constB123) | v124(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16709, 16708])).
% 7.36/5.53 tff(16711,plain,
% 7.36/5.53 ((~(v114(constB123) <=> (v115(constB123) | v124(constB123)))) | v114(constB123) | (~(v115(constB123) | v124(constB123)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16712,plain,
% 7.36/5.53 (v114(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16711, 16710, 16684])).
% 7.36/5.53 tff(16713,plain,
% 7.36/5.53 ((v114(constB123) | v125(constB123)) | (~v114(constB123))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16714,plain,
% 7.36/5.53 (v114(constB123) | v125(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16713, 16712])).
% 7.36/5.53 tff(16715,plain,
% 7.36/5.53 ((~(v113(constB123) <=> (v114(constB123) | v125(constB123)))) | v113(constB123) | (~(v114(constB123) | v125(constB123)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16716,plain,
% 7.36/5.53 (v113(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16715, 16714, 16682])).
% 7.36/5.53 tff(16717,plain,
% 7.36/5.53 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB123)) <=> v111(constB123))),
% 7.36/5.53 inference(quant_inst,[status(thm)],[])).
% 7.36/5.53 tff(16718,plain,
% 7.36/5.53 ((~v126(constB123)) <=> v111(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16717, 4118])).
% 7.36/5.53 tff(16719,plain,
% 7.36/5.53 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123) | v111(constB123)),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16720,plain,
% 7.36/5.53 ((~((~v126(constB123)) <=> v111(constB123))) | v126(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16719, 14426])).
% 7.36/5.53 tff(16721,plain,
% 7.36/5.53 (v126(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16720, 16718])).
% 7.36/5.53 tff(16722,plain,
% 7.36/5.53 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123)) | (~v126(constB123))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16723,plain,
% 7.36/5.53 ((~((~v113(constB123)) | (~v126(constB123)))) | (~v113(constB123))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16722, 16721])).
% 7.36/5.53 tff(16724,plain,
% 7.36/5.53 (~((~v113(constB123)) | (~v126(constB123)))),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16723, 16716])).
% 7.36/5.53 tff(16725,plain,
% 7.36/5.53 ((~(v112(constB123) <=> (~((~v113(constB123)) | (~v126(constB123)))))) | v112(constB123) | ((~v113(constB123)) | (~v126(constB123)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16726,plain,
% 7.36/5.53 (v112(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16725, 16724, 16680])).
% 7.36/5.53 tff(16727,plain,
% 7.36/5.53 ((v111(constB123) | v112(constB123)) | (~v112(constB123))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16728,plain,
% 7.36/5.53 (v111(constB123) | v112(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16727, 16726])).
% 7.36/5.53 tff(16729,plain,
% 7.36/5.53 ((~(v108(constB123) <=> (v111(constB123) | v112(constB123)))) | v108(constB123) | (~(v111(constB123) | v112(constB123)))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.53 tff(16730,plain,
% 7.36/5.53 (v108(constB123)),
% 7.36/5.53 inference(unit_resolution,[status(thm)],[16729, 16728, 16678])).
% 7.36/5.53 tff(16731,plain,
% 7.36/5.53 ((~(v110(constB124) <=> v108(constB123))) | v110(constB124) | (~v108(constB123))),
% 7.36/5.53 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16732,plain,
% 7.36/5.54 (v110(constB124)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16731, 16730, 16676])).
% 7.36/5.54 tff(16733,plain,
% 7.36/5.54 ((~((~v101(constB124)) | (~v110(constB124)))) | (~v101(constB124)) | (~v110(constB124))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16734,plain,
% 7.36/5.54 (~((~v101(constB124)) | (~v110(constB124)))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16733, 16732, 16672])).
% 7.36/5.54 tff(16735,plain,
% 7.36/5.54 ((~(v100(constB124) <=> (~((~v101(constB124)) | (~v110(constB124)))))) | v100(constB124) | ((~v101(constB124)) | (~v110(constB124)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16736,plain,
% 7.36/5.54 (v100(constB124)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16735, 16734, 16644])).
% 7.36/5.54 tff(16737,plain,
% 7.36/5.54 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.36/5.54 inference(rewrite,[status(thm)],[])).
% 7.36/5.54 tff(16738,plain,
% 7.36/5.54 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB124)) | (~(((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0)))))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16739,plain,
% 7.36/5.54 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB124)) | (~(((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))))),
% 7.36/5.54 inference(modus_ponens,[status(thm)],[16738, 16737])).
% 7.36/5.54 tff(16740,plain,
% 7.36/5.54 ((~v100(constB124)) | (~(((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16739, 4151])).
% 7.36/5.54 tff(16741,plain,
% 7.36/5.54 (~(((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0)))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16740, 16736])).
% 7.36/5.54 tff(16742,plain,
% 7.36/5.54 ((((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))) | (~((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16743,plain,
% 7.36/5.54 (~((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16742, 16741])).
% 7.36/5.54 tff(16744,plain,
% 7.36/5.54 (((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | (~v90(constB124, bitIndex2)) | v129(constB124, bitIndex2)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16745,plain,
% 7.36/5.54 (~v90(constB124, bitIndex2)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16744, 16743, 16640])).
% 7.36/5.54 tff(16746,plain,
% 7.36/5.54 (((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | (~v90(constB125, bitIndex2)) | v90(constB124, bitIndex2)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16747,plain,
% 7.36/5.54 (~v90(constB125, bitIndex2)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16746, 16745, 14410])).
% 7.36/5.54 tff(16748,plain,
% 7.36/5.54 ((((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))) | (~((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16749,plain,
% 7.36/5.54 (~((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16748, 14408])).
% 7.36/5.54 tff(16750,plain,
% 7.36/5.54 ((((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0))) | (~((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16751,plain,
% 7.36/5.54 (~((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16750, 14417])).
% 7.36/5.54 tff(16752,plain,
% 7.36/5.54 ((((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1))) | (~((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16753,plain,
% 7.36/5.54 (~((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16752, 14431])).
% 7.36/5.54 tff(16754,plain,
% 7.36/5.54 ((v130(constB123, bitIndex2) | v130(constB123, bitIndex0) | (~v130(constB123, bitIndex1))) | (~v130(constB123, bitIndex0))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16755,plain,
% 7.36/5.54 (~v130(constB123, bitIndex0)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16754, 16634])).
% 7.36/5.54 tff(16756,plain,
% 7.36/5.54 (((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)) | (~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16757,plain,
% 7.36/5.54 (~v127(constB123, bitIndex0)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16756, 16755, 16753])).
% 7.36/5.54 tff(16758,plain,
% 7.36/5.54 (((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0)) | (~v129(constB124, bitIndex0)) | v127(constB123, bitIndex0)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16759,plain,
% 7.36/5.54 (~v129(constB124, bitIndex0)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16758, 16757, 16751])).
% 7.36/5.54 tff(16760,plain,
% 7.36/5.54 ((((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))) | (~((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16761,plain,
% 7.36/5.54 (~((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16760, 16741])).
% 7.36/5.54 tff(16762,plain,
% 7.36/5.54 (((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0)) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16763,plain,
% 7.36/5.54 (~v90(constB124, bitIndex0)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16762, 16761, 16759])).
% 7.36/5.54 tff(16764,plain,
% 7.36/5.54 (((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0)) | (~v90(constB125, bitIndex0)) | v90(constB124, bitIndex0)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16765,plain,
% 7.36/5.54 (~v90(constB125, bitIndex0)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16764, 16763, 16749])).
% 7.36/5.54 tff(16766,plain,
% 7.36/5.54 ((((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | ((~v90(constB125, bitIndex2)) <=> v90(constB124, bitIndex2)) | ((~v90(constB125, bitIndex0)) <=> v90(constB124, bitIndex0))) | (~((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16767,plain,
% 7.36/5.54 (~((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16766, 14408])).
% 7.36/5.54 tff(16768,plain,
% 7.36/5.54 ((((~v129(constB124, bitIndex2)) <=> v127(constB123, bitIndex2)) | ((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | ((~v129(constB124, bitIndex0)) <=> v127(constB123, bitIndex0))) | (~((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16769,plain,
% 7.36/5.54 (~((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16768, 14417])).
% 7.36/5.54 tff(16770,plain,
% 7.36/5.54 ((((~v127(constB123, bitIndex2)) <=> v130(constB123, bitIndex2)) | ((~v127(constB123, bitIndex0)) <=> v130(constB123, bitIndex0)) | ((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1))) | (~((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16771,plain,
% 7.36/5.54 (~((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16770, 14431])).
% 7.36/5.54 tff(16772,plain,
% 7.36/5.54 ((v130(constB123, bitIndex2) | v130(constB123, bitIndex0) | (~v130(constB123, bitIndex1))) | v130(constB123, bitIndex1)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16773,plain,
% 7.36/5.54 (v130(constB123, bitIndex1)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16772, 16634])).
% 7.36/5.54 tff(16774,plain,
% 7.36/5.54 (((~v127(constB123, bitIndex1)) <=> v130(constB123, bitIndex1)) | v127(constB123, bitIndex1) | (~v130(constB123, bitIndex1))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16775,plain,
% 7.36/5.54 (v127(constB123, bitIndex1)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16774, 16773, 16771])).
% 7.36/5.54 tff(16776,plain,
% 7.36/5.54 (((~v129(constB124, bitIndex1)) <=> v127(constB123, bitIndex1)) | v129(constB124, bitIndex1) | (~v127(constB123, bitIndex1))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16777,plain,
% 7.36/5.54 (v129(constB124, bitIndex1)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16776, 16775, 16769])).
% 7.36/5.54 tff(16778,plain,
% 7.36/5.54 ((((~v90(constB124, bitIndex2)) <=> v129(constB124, bitIndex2)) | ((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | ((~v90(constB124, bitIndex0)) <=> v129(constB124, bitIndex0))) | (~((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16779,plain,
% 7.36/5.54 (~((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16778, 16741])).
% 7.36/5.54 tff(16780,plain,
% 7.36/5.54 (((~v90(constB124, bitIndex1)) <=> v129(constB124, bitIndex1)) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16781,plain,
% 7.36/5.54 (v90(constB124, bitIndex1)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16780, 16779, 16777])).
% 7.36/5.54 tff(16782,plain,
% 7.36/5.54 (((~v90(constB125, bitIndex1)) <=> v90(constB124, bitIndex1)) | v90(constB125, bitIndex1) | (~v90(constB124, bitIndex1))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16783,plain,
% 7.36/5.54 (v90(constB125, bitIndex1)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16782, 16781, 16767])).
% 7.36/5.54 tff(16784,plain,
% 7.36/5.54 ((~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)))) | v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16785,plain,
% 7.36/5.54 (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16784, 16783, 16765, 16747])).
% 7.36/5.54 tff(16786,plain,
% 7.36/5.54 ((~(v121(constB125) <=> (~(v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)))))) | v121(constB125) | (v90(constB125, bitIndex2) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16787,plain,
% 7.36/5.54 (v121(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16786, 16785, 14374])).
% 7.36/5.54 tff(16788,plain,
% 7.36/5.54 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB125)) | (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)) | (~v130(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB125)) | (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)) | (~v130(constB125, bitIndex1)))))),
% 7.36/5.54 inference(rewrite,[status(thm)],[])).
% 7.36/5.54 tff(16789,plain,
% 7.36/5.54 (((~v121(constB125)) | (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex1)) | (~v130(constB125, bitIndex0))))) <=> ((~v121(constB125)) | (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)) | (~v130(constB125, bitIndex1)))))),
% 7.36/5.54 inference(rewrite,[status(thm)],[])).
% 7.36/5.54 tff(16790,plain,
% 7.36/5.54 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB125)) | (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex1)) | (~v130(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB125)) | (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)) | (~v130(constB125, bitIndex1))))))),
% 7.36/5.54 inference(monotonicity,[status(thm)],[16789])).
% 7.36/5.54 tff(16791,plain,
% 7.36/5.54 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB125)) | (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex1)) | (~v130(constB125, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB125)) | (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)) | (~v130(constB125, bitIndex1)))))),
% 7.36/5.54 inference(transitivity,[status(thm)],[16790, 16788])).
% 7.36/5.54 tff(16792,plain,
% 7.36/5.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB125)) | (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex1)) | (~v130(constB125, bitIndex0)))))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16793,plain,
% 7.36/5.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB125)) | (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)) | (~v130(constB125, bitIndex1))))),
% 7.36/5.54 inference(modus_ponens,[status(thm)],[16792, 16791])).
% 7.36/5.54 tff(16794,plain,
% 7.36/5.54 ((~v121(constB125)) | (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)) | (~v130(constB125, bitIndex1))))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16793, 4392])).
% 7.36/5.54 tff(16795,plain,
% 7.36/5.54 (~(v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)) | (~v130(constB125, bitIndex1)))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16794, 16787])).
% 7.36/5.54 tff(16796,plain,
% 7.36/5.54 ((v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)) | (~v130(constB125, bitIndex1))) | (~v130(constB125, bitIndex2))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16797,plain,
% 7.36/5.54 (~v130(constB125, bitIndex2)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16796, 16795])).
% 7.36/5.54 tff(16798,plain,
% 7.36/5.54 (((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | (~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16799,plain,
% 7.36/5.54 (~v127(constB125, bitIndex2)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16798, 16797, 14367])).
% 7.36/5.54 tff(16800,plain,
% 7.36/5.54 (((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | (~v129(constB126, bitIndex2)) | v127(constB125, bitIndex2)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16801,plain,
% 7.36/5.54 (~v129(constB126, bitIndex2)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16800, 16799, 14353])).
% 7.36/5.54 tff(16802,plain,
% 7.36/5.54 (((~![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))))))),
% 7.36/5.54 inference(rewrite,[status(thm)],[])).
% 7.36/5.54 tff(16803,plain,
% 7.36/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16804,plain,
% 7.36/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB125, constB126)) | (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))),
% 7.36/5.54 inference(modus_ponens,[status(thm)],[16803, 16802])).
% 7.36/5.54 tff(16805,plain,
% 7.36/5.54 (v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126))))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16804, 14347, 433])).
% 7.36/5.54 tff(16806,plain,
% 7.36/5.54 (((~![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))))))),
% 7.36/5.54 inference(rewrite,[status(thm)],[])).
% 7.36/5.54 tff(16807,plain,
% 7.36/5.54 (((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126)))))) <=> ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))))),
% 7.36/5.54 inference(rewrite,[status(thm)],[])).
% 7.36/5.54 tff(16808,plain,
% 7.36/5.54 (((~![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)))))))),
% 7.36/5.54 inference(monotonicity,[status(thm)],[16807])).
% 7.36/5.54 tff(16809,plain,
% 7.36/5.54 (((~![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))))))),
% 7.36/5.54 inference(transitivity,[status(thm)],[16808, 16806])).
% 7.36/5.54 tff(16810,plain,
% 7.36/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v102(constB126)) | (~v1(constB126))))))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16811,plain,
% 7.36/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))),
% 7.36/5.54 inference(modus_ponens,[status(thm)],[16810, 16809])).
% 7.36/5.54 tff(16812,plain,
% 7.36/5.54 (v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126))))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16811, 14347, 453])).
% 7.36/5.54 tff(16813,plain,
% 7.36/5.54 (((~![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)))),
% 7.36/5.54 inference(rewrite,[status(thm)],[])).
% 7.36/5.54 tff(16814,plain,
% 7.36/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126)))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16815,plain,
% 7.36/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB125, constB126)) | ((~v102(constB126)) <=> v104(constB126))),
% 7.36/5.54 inference(modus_ponens,[status(thm)],[16814, 16813])).
% 7.36/5.54 tff(16816,plain,
% 7.36/5.54 ((~v102(constB126)) <=> v104(constB126)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16815, 14347, 3966])).
% 7.36/5.54 tff(16817,plain,
% 7.36/5.54 (((~![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)))),
% 7.36/5.54 inference(rewrite,[status(thm)],[])).
% 7.36/5.54 tff(16818,plain,
% 7.36/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125)))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16819,plain,
% 7.36/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v1(constB125))),
% 7.36/5.54 inference(modus_ponens,[status(thm)],[16818, 16817])).
% 7.36/5.54 tff(16820,plain,
% 7.36/5.54 (v104(constB126) <=> v1(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16819, 14347, 3980])).
% 7.36/5.54 tff(16821,plain,
% 7.36/5.54 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126)) | v1(constB125)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16822,plain,
% 7.36/5.54 ((~(v104(constB126) <=> v1(constB125))) | (~v104(constB126))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16821, 14391])).
% 7.36/5.54 tff(16823,plain,
% 7.36/5.54 (~v104(constB126)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16822, 16820])).
% 7.36/5.54 tff(16824,plain,
% 7.36/5.54 ((~((~v102(constB126)) <=> v104(constB126))) | v102(constB126) | v104(constB126)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16825,plain,
% 7.36/5.54 (v102(constB126)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16824, 16823, 16816])).
% 7.36/5.54 tff(16826,plain,
% 7.36/5.54 (v1(constB126) <=> v1(constB126)),
% 7.36/5.54 inference(rewrite,[status(thm)],[])).
% 7.36/5.54 tff(16827,axiom,(v1(constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_126')).
% 7.36/5.54 tff(16828,plain,
% 7.36/5.54 (v1(constB126)),
% 7.36/5.54 inference(modus_ponens,[status(thm)],[16827, 16826])).
% 7.36/5.54 tff(16829,plain,
% 7.36/5.54 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v1(constB126)) | (~v102(constB126))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16830,plain,
% 7.36/5.54 ((~((~v1(constB126)) | (~v102(constB126)))) | (~v102(constB126))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16829, 16828])).
% 7.36/5.54 tff(16831,plain,
% 7.36/5.54 (~((~v1(constB126)) | (~v102(constB126)))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16830, 16825])).
% 7.36/5.54 tff(16832,plain,
% 7.36/5.54 ((~(v101(constB126) <=> (~((~v1(constB126)) | (~v102(constB126)))))) | v101(constB126) | ((~v1(constB126)) | (~v102(constB126)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16833,plain,
% 7.36/5.54 (v101(constB126)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16832, 16831, 16812])).
% 7.36/5.54 tff(16834,plain,
% 7.36/5.54 (((~![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)))),
% 7.36/5.54 inference(rewrite,[status(thm)],[])).
% 7.36/5.54 tff(16835,plain,
% 7.36/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125)))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16836,plain,
% 7.36/5.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB125, constB126)) | (v110(constB126) <=> v108(constB125))),
% 7.36/5.54 inference(modus_ponens,[status(thm)],[16835, 16834])).
% 7.36/5.54 tff(16837,plain,
% 7.36/5.54 (v110(constB126) <=> v108(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16836, 14347, 4007])).
% 7.36/5.54 tff(16838,plain,
% 7.36/5.54 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB125) <=> (v111(constB125) | v112(constB125)))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16839,plain,
% 7.36/5.54 (v108(constB125) <=> (v111(constB125) | v112(constB125))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16838, 4018])).
% 7.36/5.54 tff(16840,plain,
% 7.36/5.54 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16841,plain,
% 7.36/5.54 (v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125))))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16840, 4030])).
% 7.36/5.54 tff(16842,plain,
% 7.36/5.54 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB125) <=> (v114(constB125) | v125(constB125)))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16843,plain,
% 7.36/5.54 (v113(constB125) <=> (v114(constB125) | v125(constB125))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16842, 4039])).
% 7.36/5.54 tff(16844,plain,
% 7.36/5.54 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB125) <=> (v115(constB125) | v124(constB125)))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16845,plain,
% 7.36/5.54 (v114(constB125) <=> (v115(constB125) | v124(constB125))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16844, 4048])).
% 7.36/5.54 tff(16846,plain,
% 7.36/5.54 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB125) <=> (v116(constB125) | v123(constB125)))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16847,plain,
% 7.36/5.54 (v115(constB125) <=> (v116(constB125) | v123(constB125))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16846, 4057])).
% 7.36/5.54 tff(16848,plain,
% 7.36/5.54 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB125) <=> (v117(constB125) | v122(constB125)))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16849,plain,
% 7.36/5.54 (v116(constB125) <=> (v117(constB125) | v122(constB125))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16848, 4066])).
% 7.36/5.54 tff(16850,plain,
% 7.36/5.54 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB125) <=> (v118(constB125) | v121(constB125)))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16851,plain,
% 7.36/5.54 (v117(constB125) <=> (v118(constB125) | v121(constB125))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16850, 4075])).
% 7.36/5.54 tff(16852,plain,
% 7.36/5.54 ((v118(constB125) | v121(constB125)) | (~v121(constB125))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16853,plain,
% 7.36/5.54 (v118(constB125) | v121(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16852, 16787])).
% 7.36/5.54 tff(16854,plain,
% 7.36/5.54 ((~(v117(constB125) <=> (v118(constB125) | v121(constB125)))) | v117(constB125) | (~(v118(constB125) | v121(constB125)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16855,plain,
% 7.36/5.54 (v117(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16854, 16853, 16851])).
% 7.36/5.54 tff(16856,plain,
% 7.36/5.54 ((v117(constB125) | v122(constB125)) | (~v117(constB125))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16857,plain,
% 7.36/5.54 (v117(constB125) | v122(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16856, 16855])).
% 7.36/5.54 tff(16858,plain,
% 7.36/5.54 ((~(v116(constB125) <=> (v117(constB125) | v122(constB125)))) | v116(constB125) | (~(v117(constB125) | v122(constB125)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16859,plain,
% 7.36/5.54 (v116(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16858, 16857, 16849])).
% 7.36/5.54 tff(16860,plain,
% 7.36/5.54 ((v116(constB125) | v123(constB125)) | (~v116(constB125))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16861,plain,
% 7.36/5.54 (v116(constB125) | v123(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16860, 16859])).
% 7.36/5.54 tff(16862,plain,
% 7.36/5.54 ((~(v115(constB125) <=> (v116(constB125) | v123(constB125)))) | v115(constB125) | (~(v116(constB125) | v123(constB125)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16863,plain,
% 7.36/5.54 (v115(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16862, 16861, 16847])).
% 7.36/5.54 tff(16864,plain,
% 7.36/5.54 ((v115(constB125) | v124(constB125)) | (~v115(constB125))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16865,plain,
% 7.36/5.54 (v115(constB125) | v124(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16864, 16863])).
% 7.36/5.54 tff(16866,plain,
% 7.36/5.54 ((~(v114(constB125) <=> (v115(constB125) | v124(constB125)))) | v114(constB125) | (~(v115(constB125) | v124(constB125)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16867,plain,
% 7.36/5.54 (v114(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16866, 16865, 16845])).
% 7.36/5.54 tff(16868,plain,
% 7.36/5.54 ((v114(constB125) | v125(constB125)) | (~v114(constB125))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16869,plain,
% 7.36/5.54 (v114(constB125) | v125(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16868, 16867])).
% 7.36/5.54 tff(16870,plain,
% 7.36/5.54 ((~(v113(constB125) <=> (v114(constB125) | v125(constB125)))) | v113(constB125) | (~(v114(constB125) | v125(constB125)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16871,plain,
% 7.36/5.54 (v113(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16870, 16869, 16843])).
% 7.36/5.54 tff(16872,plain,
% 7.36/5.54 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB125)) <=> v111(constB125))),
% 7.36/5.54 inference(quant_inst,[status(thm)],[])).
% 7.36/5.54 tff(16873,plain,
% 7.36/5.54 ((~v126(constB125)) <=> v111(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16872, 4118])).
% 7.36/5.54 tff(16874,plain,
% 7.36/5.54 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125) | v111(constB125)),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16875,plain,
% 7.36/5.54 ((~((~v126(constB125)) <=> v111(constB125))) | v126(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16874, 14360])).
% 7.36/5.54 tff(16876,plain,
% 7.36/5.54 (v126(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16875, 16873])).
% 7.36/5.54 tff(16877,plain,
% 7.36/5.54 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125)) | (~v126(constB125))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16878,plain,
% 7.36/5.54 ((~((~v113(constB125)) | (~v126(constB125)))) | (~v113(constB125))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16877, 16876])).
% 7.36/5.54 tff(16879,plain,
% 7.36/5.54 (~((~v113(constB125)) | (~v126(constB125)))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16878, 16871])).
% 7.36/5.54 tff(16880,plain,
% 7.36/5.54 ((~(v112(constB125) <=> (~((~v113(constB125)) | (~v126(constB125)))))) | v112(constB125) | ((~v113(constB125)) | (~v126(constB125)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16881,plain,
% 7.36/5.54 (v112(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16880, 16879, 16841])).
% 7.36/5.54 tff(16882,plain,
% 7.36/5.54 ((v111(constB125) | v112(constB125)) | (~v112(constB125))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16883,plain,
% 7.36/5.54 (v111(constB125) | v112(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16882, 16881])).
% 7.36/5.54 tff(16884,plain,
% 7.36/5.54 ((~(v108(constB125) <=> (v111(constB125) | v112(constB125)))) | v108(constB125) | (~(v111(constB125) | v112(constB125)))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16885,plain,
% 7.36/5.54 (v108(constB125)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16884, 16883, 16839])).
% 7.36/5.54 tff(16886,plain,
% 7.36/5.54 ((~(v110(constB126) <=> v108(constB125))) | v110(constB126) | (~v108(constB125))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16887,plain,
% 7.36/5.54 (v110(constB126)),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16886, 16885, 16837])).
% 7.36/5.54 tff(16888,plain,
% 7.36/5.54 ((~((~v101(constB126)) | (~v110(constB126)))) | (~v101(constB126)) | (~v110(constB126))),
% 7.36/5.54 inference(tautology,[status(thm)],[])).
% 7.36/5.54 tff(16889,plain,
% 7.36/5.54 (~((~v101(constB126)) | (~v110(constB126)))),
% 7.36/5.54 inference(unit_resolution,[status(thm)],[16888, 16887, 16833])).
% 7.36/5.55 tff(16890,plain,
% 7.36/5.55 ((~(v100(constB126) <=> (~((~v101(constB126)) | (~v110(constB126)))))) | v100(constB126) | ((~v101(constB126)) | (~v110(constB126)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16891,plain,
% 7.36/5.55 (v100(constB126)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16890, 16889, 16805])).
% 7.36/5.55 tff(16892,plain,
% 7.36/5.55 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(16893,plain,
% 7.36/5.55 (((~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)))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(16894,plain,
% 7.36/5.55 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 7.36/5.55 inference(monotonicity,[status(thm)],[16893])).
% 7.36/5.55 tff(16895,plain,
% 7.36/5.55 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.36/5.55 inference(transitivity,[status(thm)],[16894, 16892])).
% 7.36/5.55 tff(16896,plain,
% 7.36/5.55 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB126)) | (~(((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)) | ((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(16897,plain,
% 7.36/5.55 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB126)) | (~(((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[16896, 16895])).
% 7.36/5.55 tff(16898,plain,
% 7.36/5.55 ((~v100(constB126)) | (~(((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16897, 4151])).
% 7.36/5.55 tff(16899,plain,
% 7.36/5.55 (~(((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16898, 16891])).
% 7.36/5.55 tff(16900,plain,
% 7.36/5.55 ((((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))) | (~((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16901,plain,
% 7.36/5.55 (~((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16900, 16899])).
% 7.36/5.55 tff(16902,plain,
% 7.36/5.55 (((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16903,plain,
% 7.36/5.55 (~v90(constB126, bitIndex2)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16902, 16901, 16801])).
% 7.36/5.55 tff(16904,plain,
% 7.36/5.55 (((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | (~v90(constB127, bitIndex2)) | v90(constB126, bitIndex2)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16905,plain,
% 7.36/5.55 (~v90(constB127, bitIndex2)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16904, 16903, 14344])).
% 7.36/5.55 tff(16906,plain,
% 7.36/5.55 ((((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))) | (~((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16907,plain,
% 7.36/5.55 (~((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16906, 14342])).
% 7.36/5.55 tff(16908,plain,
% 7.36/5.55 ((((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0))) | (~((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16909,plain,
% 7.36/5.55 (~((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16908, 14351])).
% 7.36/5.55 tff(16910,plain,
% 7.36/5.55 ((((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1))) | (~((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16911,plain,
% 7.36/5.55 (~((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16910, 14365])).
% 7.36/5.55 tff(16912,plain,
% 7.36/5.55 ((v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)) | (~v130(constB125, bitIndex1))) | v130(constB125, bitIndex0)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16913,plain,
% 7.36/5.55 (v130(constB125, bitIndex0)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16912, 16795])).
% 7.36/5.55 tff(16914,plain,
% 7.36/5.55 (((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)) | v127(constB125, bitIndex0) | (~v130(constB125, bitIndex0))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16915,plain,
% 7.36/5.55 (v127(constB125, bitIndex0)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16914, 16913, 16911])).
% 7.36/5.55 tff(16916,plain,
% 7.36/5.55 (((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0)) | v129(constB126, bitIndex0) | (~v127(constB125, bitIndex0))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16917,plain,
% 7.36/5.55 (v129(constB126, bitIndex0)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16916, 16915, 16909])).
% 7.36/5.55 tff(16918,plain,
% 7.36/5.55 ((((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))) | (~((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16919,plain,
% 7.36/5.55 (~((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16918, 16899])).
% 7.36/5.55 tff(16920,plain,
% 7.36/5.55 (((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16921,plain,
% 7.36/5.55 (v90(constB126, bitIndex0)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16920, 16919, 16917])).
% 7.36/5.55 tff(16922,plain,
% 7.36/5.55 (((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0)) | v90(constB127, bitIndex0) | (~v90(constB126, bitIndex0))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16923,plain,
% 7.36/5.55 (v90(constB127, bitIndex0)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16922, 16921, 16907])).
% 7.36/5.55 tff(16924,plain,
% 7.36/5.55 ((((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | ((~v90(constB127, bitIndex2)) <=> v90(constB126, bitIndex2)) | ((~v90(constB127, bitIndex0)) <=> v90(constB126, bitIndex0))) | (~((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16925,plain,
% 7.36/5.55 (~((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16924, 14342])).
% 7.36/5.55 tff(16926,plain,
% 7.36/5.55 ((((~v129(constB126, bitIndex2)) <=> v127(constB125, bitIndex2)) | ((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | ((~v129(constB126, bitIndex0)) <=> v127(constB125, bitIndex0))) | (~((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16927,plain,
% 7.36/5.55 (~((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16926, 14351])).
% 7.36/5.55 tff(16928,plain,
% 7.36/5.55 ((((~v127(constB125, bitIndex2)) <=> v130(constB125, bitIndex2)) | ((~v127(constB125, bitIndex0)) <=> v130(constB125, bitIndex0)) | ((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1))) | (~((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16929,plain,
% 7.36/5.55 (~((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16928, 14365])).
% 7.36/5.55 tff(16930,plain,
% 7.36/5.55 ((v130(constB125, bitIndex2) | (~v130(constB125, bitIndex0)) | (~v130(constB125, bitIndex1))) | v130(constB125, bitIndex1)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16931,plain,
% 7.36/5.55 (v130(constB125, bitIndex1)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16930, 16795])).
% 7.36/5.55 tff(16932,plain,
% 7.36/5.55 (((~v127(constB125, bitIndex1)) <=> v130(constB125, bitIndex1)) | v127(constB125, bitIndex1) | (~v130(constB125, bitIndex1))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16933,plain,
% 7.36/5.55 (v127(constB125, bitIndex1)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16932, 16931, 16929])).
% 7.36/5.55 tff(16934,plain,
% 7.36/5.55 (((~v129(constB126, bitIndex1)) <=> v127(constB125, bitIndex1)) | v129(constB126, bitIndex1) | (~v127(constB125, bitIndex1))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16935,plain,
% 7.36/5.55 (v129(constB126, bitIndex1)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16934, 16933, 16927])).
% 7.36/5.55 tff(16936,plain,
% 7.36/5.55 ((((~v90(constB126, bitIndex0)) <=> v129(constB126, bitIndex0)) | ((~v90(constB126, bitIndex2)) <=> v129(constB126, bitIndex2)) | ((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))) | (~((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16937,plain,
% 7.36/5.55 (~((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16936, 16899])).
% 7.36/5.55 tff(16938,plain,
% 7.36/5.55 (((~v90(constB126, bitIndex1)) <=> v129(constB126, bitIndex1)) | v90(constB126, bitIndex1) | (~v129(constB126, bitIndex1))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16939,plain,
% 7.36/5.55 (v90(constB126, bitIndex1)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16938, 16937, 16935])).
% 7.36/5.55 tff(16940,plain,
% 7.36/5.55 (((~v90(constB127, bitIndex1)) <=> v90(constB126, bitIndex1)) | v90(constB127, bitIndex1) | (~v90(constB126, bitIndex1))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16941,plain,
% 7.36/5.55 (v90(constB127, bitIndex1)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16940, 16939, 16925])).
% 7.36/5.55 tff(16942,plain,
% 7.36/5.55 ((~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))) | v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16943,plain,
% 7.36/5.55 (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16942, 16941, 16923, 16905])).
% 7.36/5.55 tff(16944,plain,
% 7.36/5.55 ((~(v122(constB127) <=> (~(v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))))) | v122(constB127) | (v90(constB127, bitIndex2) | (~v90(constB127, bitIndex1)) | (~v90(constB127, bitIndex0)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16945,plain,
% 7.36/5.55 (v122(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16944, 16943, 14308])).
% 7.36/5.55 tff(16946,plain,
% 7.36/5.55 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB127)) | (~(v130(constB127, bitIndex0) | v130(constB127, bitIndex1) | (~v130(constB127, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB127)) | (~(v130(constB127, bitIndex0) | v130(constB127, bitIndex1) | (~v130(constB127, bitIndex2)))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(16947,plain,
% 7.36/5.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB127)) | (~(v130(constB127, bitIndex0) | v130(constB127, bitIndex1) | (~v130(constB127, bitIndex2)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(16948,plain,
% 7.36/5.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB127)) | (~(v130(constB127, bitIndex0) | v130(constB127, bitIndex1) | (~v130(constB127, bitIndex2))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[16947, 16946])).
% 7.36/5.55 tff(16949,plain,
% 7.36/5.55 ((~v122(constB127)) | (~(v130(constB127, bitIndex0) | v130(constB127, bitIndex1) | (~v130(constB127, bitIndex2))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16948, 4563])).
% 7.36/5.55 tff(16950,plain,
% 7.36/5.55 (~(v130(constB127, bitIndex0) | v130(constB127, bitIndex1) | (~v130(constB127, bitIndex2)))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16949, 16945])).
% 7.36/5.55 tff(16951,plain,
% 7.36/5.55 ((v130(constB127, bitIndex0) | v130(constB127, bitIndex1) | (~v130(constB127, bitIndex2))) | v130(constB127, bitIndex2)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16952,plain,
% 7.36/5.55 (v130(constB127, bitIndex2)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16951, 16950])).
% 7.36/5.55 tff(16953,plain,
% 7.36/5.55 (((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | v127(constB127, bitIndex2) | (~v130(constB127, bitIndex2))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16954,plain,
% 7.36/5.55 (v127(constB127, bitIndex2)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16953, 16952, 14301])).
% 7.36/5.55 tff(16955,plain,
% 7.36/5.55 (((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | v129(constB128, bitIndex2) | (~v127(constB127, bitIndex2))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16956,plain,
% 7.36/5.55 (v129(constB128, bitIndex2)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16955, 16954, 14287])).
% 7.36/5.55 tff(16957,plain,
% 7.36/5.55 (((~![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))))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(16958,plain,
% 7.36/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(16959,plain,
% 7.36/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB127, constB128)) | (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[16958, 16957])).
% 7.36/5.55 tff(16960,plain,
% 7.36/5.55 (v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16959, 14281, 433])).
% 7.36/5.55 tff(16961,plain,
% 7.36/5.55 (((~![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))))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(16962,plain,
% 7.36/5.55 (((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128)))))) <=> ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(16963,plain,
% 7.36/5.55 (((~![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)))))))),
% 7.36/5.55 inference(monotonicity,[status(thm)],[16962])).
% 7.36/5.55 tff(16964,plain,
% 7.36/5.55 (((~![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))))))),
% 7.36/5.55 inference(transitivity,[status(thm)],[16963, 16961])).
% 7.36/5.55 tff(16965,plain,
% 7.36/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v102(constB128)) | (~v1(constB128))))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(16966,plain,
% 7.36/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 7.36/5.55 tff(16967,plain,
% 7.36/5.55 (v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16966, 14281, 453])).
% 7.36/5.55 tff(16968,plain,
% 7.36/5.55 (((~![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)))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(16969,plain,
% 7.36/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(16970,plain,
% 7.36/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB127, constB128)) | ((~v102(constB128)) <=> v104(constB128))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[16969, 16968])).
% 7.36/5.55 tff(16971,plain,
% 7.36/5.55 ((~v102(constB128)) <=> v104(constB128)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16970, 14281, 3966])).
% 7.36/5.55 tff(16972,plain,
% 7.36/5.55 (((~![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)))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(16973,plain,
% 7.36/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(16974,plain,
% 7.36/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v1(constB127))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[16973, 16972])).
% 7.36/5.55 tff(16975,plain,
% 7.36/5.55 (v104(constB128) <=> v1(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16974, 14281, 3980])).
% 7.36/5.55 tff(16976,plain,
% 7.36/5.55 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128)) | v1(constB127)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16977,plain,
% 7.36/5.55 ((~(v104(constB128) <=> v1(constB127))) | (~v104(constB128))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16976, 14325])).
% 7.36/5.55 tff(16978,plain,
% 7.36/5.55 (~v104(constB128)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16977, 16975])).
% 7.36/5.55 tff(16979,plain,
% 7.36/5.55 ((~((~v102(constB128)) <=> v104(constB128))) | v102(constB128) | v104(constB128)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16980,plain,
% 7.36/5.55 (v102(constB128)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16979, 16978, 16971])).
% 7.36/5.55 tff(16981,plain,
% 7.36/5.55 (v1(constB128) <=> v1(constB128)),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(16982,axiom,(v1(constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_128')).
% 7.36/5.55 tff(16983,plain,
% 7.36/5.55 (v1(constB128)),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[16982, 16981])).
% 7.36/5.55 tff(16984,plain,
% 7.36/5.55 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v1(constB128)) | (~v102(constB128))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16985,plain,
% 7.36/5.55 ((~((~v1(constB128)) | (~v102(constB128)))) | (~v102(constB128))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16984, 16983])).
% 7.36/5.55 tff(16986,plain,
% 7.36/5.55 (~((~v1(constB128)) | (~v102(constB128)))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16985, 16980])).
% 7.36/5.55 tff(16987,plain,
% 7.36/5.55 ((~(v101(constB128) <=> (~((~v1(constB128)) | (~v102(constB128)))))) | v101(constB128) | ((~v1(constB128)) | (~v102(constB128)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(16988,plain,
% 7.36/5.55 (v101(constB128)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16987, 16986, 16967])).
% 7.36/5.55 tff(16989,plain,
% 7.36/5.55 (((~![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)))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(16990,plain,
% 7.36/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(16991,plain,
% 7.36/5.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB127, constB128)) | (v110(constB128) <=> v108(constB127))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[16990, 16989])).
% 7.36/5.55 tff(16992,plain,
% 7.36/5.55 (v110(constB128) <=> v108(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16991, 14281, 4007])).
% 7.36/5.55 tff(16993,plain,
% 7.36/5.55 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB127) <=> (v111(constB127) | v112(constB127)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(16994,plain,
% 7.36/5.55 (v108(constB127) <=> (v111(constB127) | v112(constB127))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16993, 4018])).
% 7.36/5.55 tff(16995,plain,
% 7.36/5.55 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(16996,plain,
% 7.36/5.55 (v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16995, 4030])).
% 7.36/5.55 tff(16997,plain,
% 7.36/5.55 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB127) <=> (v114(constB127) | v125(constB127)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(16998,plain,
% 7.36/5.55 (v113(constB127) <=> (v114(constB127) | v125(constB127))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16997, 4039])).
% 7.36/5.55 tff(16999,plain,
% 7.36/5.55 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB127) <=> (v115(constB127) | v124(constB127)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(17000,plain,
% 7.36/5.55 (v114(constB127) <=> (v115(constB127) | v124(constB127))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[16999, 4048])).
% 7.36/5.55 tff(17001,plain,
% 7.36/5.55 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB127) <=> (v116(constB127) | v123(constB127)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(17002,plain,
% 7.36/5.55 (v115(constB127) <=> (v116(constB127) | v123(constB127))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17001, 4057])).
% 7.36/5.55 tff(17003,plain,
% 7.36/5.55 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB127) <=> (v117(constB127) | v122(constB127)))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(17004,plain,
% 7.36/5.55 (v116(constB127) <=> (v117(constB127) | v122(constB127))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17003, 4066])).
% 7.36/5.55 tff(17005,plain,
% 7.36/5.55 ((v117(constB127) | v122(constB127)) | (~v122(constB127))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17006,plain,
% 7.36/5.55 (v117(constB127) | v122(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17005, 16945])).
% 7.36/5.55 tff(17007,plain,
% 7.36/5.55 ((~(v116(constB127) <=> (v117(constB127) | v122(constB127)))) | v116(constB127) | (~(v117(constB127) | v122(constB127)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17008,plain,
% 7.36/5.55 (v116(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17007, 17006, 17004])).
% 7.36/5.55 tff(17009,plain,
% 7.36/5.55 ((v116(constB127) | v123(constB127)) | (~v116(constB127))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17010,plain,
% 7.36/5.55 (v116(constB127) | v123(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17009, 17008])).
% 7.36/5.55 tff(17011,plain,
% 7.36/5.55 ((~(v115(constB127) <=> (v116(constB127) | v123(constB127)))) | v115(constB127) | (~(v116(constB127) | v123(constB127)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17012,plain,
% 7.36/5.55 (v115(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17011, 17010, 17002])).
% 7.36/5.55 tff(17013,plain,
% 7.36/5.55 ((v115(constB127) | v124(constB127)) | (~v115(constB127))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17014,plain,
% 7.36/5.55 (v115(constB127) | v124(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17013, 17012])).
% 7.36/5.55 tff(17015,plain,
% 7.36/5.55 ((~(v114(constB127) <=> (v115(constB127) | v124(constB127)))) | v114(constB127) | (~(v115(constB127) | v124(constB127)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17016,plain,
% 7.36/5.55 (v114(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17015, 17014, 17000])).
% 7.36/5.55 tff(17017,plain,
% 7.36/5.55 ((v114(constB127) | v125(constB127)) | (~v114(constB127))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17018,plain,
% 7.36/5.55 (v114(constB127) | v125(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17017, 17016])).
% 7.36/5.55 tff(17019,plain,
% 7.36/5.55 ((~(v113(constB127) <=> (v114(constB127) | v125(constB127)))) | v113(constB127) | (~(v114(constB127) | v125(constB127)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17020,plain,
% 7.36/5.55 (v113(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17019, 17018, 16998])).
% 7.36/5.55 tff(17021,plain,
% 7.36/5.55 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB127)) <=> v111(constB127))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(17022,plain,
% 7.36/5.55 ((~v126(constB127)) <=> v111(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17021, 4118])).
% 7.36/5.55 tff(17023,plain,
% 7.36/5.55 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127) | v111(constB127)),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17024,plain,
% 7.36/5.55 ((~((~v126(constB127)) <=> v111(constB127))) | v126(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17023, 14294])).
% 7.36/5.55 tff(17025,plain,
% 7.36/5.55 (v126(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17024, 17022])).
% 7.36/5.55 tff(17026,plain,
% 7.36/5.55 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127)) | (~v126(constB127))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17027,plain,
% 7.36/5.55 ((~((~v113(constB127)) | (~v126(constB127)))) | (~v113(constB127))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17026, 17025])).
% 7.36/5.55 tff(17028,plain,
% 7.36/5.55 (~((~v113(constB127)) | (~v126(constB127)))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17027, 17020])).
% 7.36/5.55 tff(17029,plain,
% 7.36/5.55 ((~(v112(constB127) <=> (~((~v113(constB127)) | (~v126(constB127)))))) | v112(constB127) | ((~v113(constB127)) | (~v126(constB127)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17030,plain,
% 7.36/5.55 (v112(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17029, 17028, 16996])).
% 7.36/5.55 tff(17031,plain,
% 7.36/5.55 ((v111(constB127) | v112(constB127)) | (~v112(constB127))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17032,plain,
% 7.36/5.55 (v111(constB127) | v112(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17031, 17030])).
% 7.36/5.55 tff(17033,plain,
% 7.36/5.55 ((~(v108(constB127) <=> (v111(constB127) | v112(constB127)))) | v108(constB127) | (~(v111(constB127) | v112(constB127)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17034,plain,
% 7.36/5.55 (v108(constB127)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17033, 17032, 16994])).
% 7.36/5.55 tff(17035,plain,
% 7.36/5.55 ((~(v110(constB128) <=> v108(constB127))) | v110(constB128) | (~v108(constB127))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17036,plain,
% 7.36/5.55 (v110(constB128)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17035, 17034, 16992])).
% 7.36/5.55 tff(17037,plain,
% 7.36/5.55 ((~((~v101(constB128)) | (~v110(constB128)))) | (~v101(constB128)) | (~v110(constB128))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17038,plain,
% 7.36/5.55 (~((~v101(constB128)) | (~v110(constB128)))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17037, 17036, 16988])).
% 7.36/5.55 tff(17039,plain,
% 7.36/5.55 ((~(v100(constB128) <=> (~((~v101(constB128)) | (~v110(constB128)))))) | v100(constB128) | ((~v101(constB128)) | (~v110(constB128)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17040,plain,
% 7.36/5.55 (v100(constB128)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17039, 17038, 16960])).
% 7.36/5.55 tff(17041,plain,
% 7.36/5.55 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.36/5.55 inference(rewrite,[status(thm)],[])).
% 7.36/5.55 tff(17042,plain,
% 7.36/5.55 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB128)) | (~(((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0)))))),
% 7.36/5.55 inference(quant_inst,[status(thm)],[])).
% 7.36/5.55 tff(17043,plain,
% 7.36/5.55 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB128)) | (~(((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))))),
% 7.36/5.55 inference(modus_ponens,[status(thm)],[17042, 17041])).
% 7.36/5.55 tff(17044,plain,
% 7.36/5.55 ((~v100(constB128)) | (~(((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17043, 4151])).
% 7.36/5.55 tff(17045,plain,
% 7.36/5.55 (~(((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0)))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17044, 17040])).
% 7.36/5.55 tff(17046,plain,
% 7.36/5.55 ((((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))) | (~((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17047,plain,
% 7.36/5.55 (~((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17046, 17045])).
% 7.36/5.55 tff(17048,plain,
% 7.36/5.55 (((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | v90(constB128, bitIndex2) | (~v129(constB128, bitIndex2))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17049,plain,
% 7.36/5.55 (v90(constB128, bitIndex2)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17048, 17047, 16956])).
% 7.36/5.55 tff(17050,plain,
% 7.36/5.55 (((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | v90(constB129, bitIndex2) | (~v90(constB128, bitIndex2))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17051,plain,
% 7.36/5.55 (v90(constB129, bitIndex2)),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17050, 17049, 14278])).
% 7.36/5.55 tff(17052,plain,
% 7.36/5.55 ((((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))) | (~((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)))),
% 7.36/5.55 inference(tautology,[status(thm)],[])).
% 7.36/5.55 tff(17053,plain,
% 7.36/5.55 (~((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))),
% 7.36/5.55 inference(unit_resolution,[status(thm)],[17052, 14276])).
% 7.36/5.55 tff(17054,plain,
% 7.36/5.56 ((((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0))) | (~((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17055,plain,
% 7.36/5.56 (~((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17054, 14285])).
% 7.36/5.56 tff(17056,plain,
% 7.36/5.56 ((((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1))) | (~((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17057,plain,
% 7.36/5.56 (~((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17056, 14299])).
% 7.36/5.56 tff(17058,plain,
% 7.36/5.56 ((v130(constB127, bitIndex0) | v130(constB127, bitIndex1) | (~v130(constB127, bitIndex2))) | (~v130(constB127, bitIndex0))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17059,plain,
% 7.36/5.56 (~v130(constB127, bitIndex0)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17058, 16950])).
% 7.36/5.56 tff(17060,plain,
% 7.36/5.56 (((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)) | (~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17061,plain,
% 7.36/5.56 (~v127(constB127, bitIndex0)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17060, 17059, 17057])).
% 7.36/5.56 tff(17062,plain,
% 7.36/5.56 (((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0)) | (~v129(constB128, bitIndex0)) | v127(constB127, bitIndex0)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17063,plain,
% 7.36/5.56 (~v129(constB128, bitIndex0)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17062, 17061, 17055])).
% 7.36/5.56 tff(17064,plain,
% 7.36/5.56 ((((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))) | (~((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17065,plain,
% 7.36/5.56 (~((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17064, 17045])).
% 7.36/5.56 tff(17066,plain,
% 7.36/5.56 (((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0)) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17067,plain,
% 7.36/5.56 (~v90(constB128, bitIndex0)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17066, 17065, 17063])).
% 7.36/5.56 tff(17068,plain,
% 7.36/5.56 (((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0)) | (~v90(constB129, bitIndex0)) | v90(constB128, bitIndex0)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17069,plain,
% 7.36/5.56 (~v90(constB129, bitIndex0)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17068, 17067, 17053])).
% 7.36/5.56 tff(17070,plain,
% 7.36/5.56 ((((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | ((~v90(constB129, bitIndex2)) <=> v90(constB128, bitIndex2)) | ((~v90(constB129, bitIndex0)) <=> v90(constB128, bitIndex0))) | (~((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17071,plain,
% 7.36/5.56 (~((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17070, 14276])).
% 7.36/5.56 tff(17072,plain,
% 7.36/5.56 ((((~v129(constB128, bitIndex2)) <=> v127(constB127, bitIndex2)) | ((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | ((~v129(constB128, bitIndex0)) <=> v127(constB127, bitIndex0))) | (~((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17073,plain,
% 7.36/5.56 (~((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17072, 14285])).
% 7.36/5.56 tff(17074,plain,
% 7.36/5.56 ((((~v127(constB127, bitIndex2)) <=> v130(constB127, bitIndex2)) | ((~v127(constB127, bitIndex0)) <=> v130(constB127, bitIndex0)) | ((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1))) | (~((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17075,plain,
% 7.36/5.56 (~((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17074, 14299])).
% 7.36/5.56 tff(17076,plain,
% 7.36/5.56 ((v130(constB127, bitIndex0) | v130(constB127, bitIndex1) | (~v130(constB127, bitIndex2))) | (~v130(constB127, bitIndex1))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17077,plain,
% 7.36/5.56 (~v130(constB127, bitIndex1)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17076, 16950])).
% 7.36/5.56 tff(17078,plain,
% 7.36/5.56 (((~v127(constB127, bitIndex1)) <=> v130(constB127, bitIndex1)) | (~v127(constB127, bitIndex1)) | v130(constB127, bitIndex1)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17079,plain,
% 7.36/5.56 (~v127(constB127, bitIndex1)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17078, 17077, 17075])).
% 7.36/5.56 tff(17080,plain,
% 7.36/5.56 (((~v129(constB128, bitIndex1)) <=> v127(constB127, bitIndex1)) | (~v129(constB128, bitIndex1)) | v127(constB127, bitIndex1)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17081,plain,
% 7.36/5.56 (~v129(constB128, bitIndex1)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17080, 17079, 17073])).
% 7.36/5.56 tff(17082,plain,
% 7.36/5.56 ((((~v90(constB128, bitIndex2)) <=> v129(constB128, bitIndex2)) | ((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | ((~v90(constB128, bitIndex0)) <=> v129(constB128, bitIndex0))) | (~((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17083,plain,
% 7.36/5.56 (~((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17082, 17045])).
% 7.36/5.56 tff(17084,plain,
% 7.36/5.56 (((~v90(constB128, bitIndex1)) <=> v129(constB128, bitIndex1)) | (~v90(constB128, bitIndex1)) | v129(constB128, bitIndex1)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17085,plain,
% 7.36/5.56 (~v90(constB128, bitIndex1)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17084, 17083, 17081])).
% 7.36/5.56 tff(17086,plain,
% 7.36/5.56 (((~v90(constB129, bitIndex1)) <=> v90(constB128, bitIndex1)) | (~v90(constB129, bitIndex1)) | v90(constB128, bitIndex1)),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17087,plain,
% 7.36/5.56 (~v90(constB129, bitIndex1)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17086, 17085, 17071])).
% 7.36/5.56 tff(17088,plain,
% 7.36/5.56 ((~(v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2)))) | v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17089,plain,
% 7.36/5.56 (~(v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2)))),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17088, 17087, 17069, 17051])).
% 7.36/5.56 tff(17090,plain,
% 7.36/5.56 ((~(v123(constB129) <=> (~(v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2)))))) | v123(constB129) | (v90(constB129, bitIndex1) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex2)))),
% 7.36/5.56 inference(tautology,[status(thm)],[])).
% 7.36/5.56 tff(17091,plain,
% 7.36/5.56 (v123(constB129)),
% 7.36/5.56 inference(unit_resolution,[status(thm)],[17090, 17089, 14242])).
% 7.36/5.56 tff(17092,plain,
% 7.36/5.56 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB129)) | (~(v130(constB129, bitIndex1) | (~v130(constB129, bitIndex2)) | (~v130(constB129, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB129)) | (~(v130(constB129, bitIndex1) | (~v130(constB129, bitIndex2)) | (~v130(constB129, bitIndex0)))))),
% 7.36/5.56 inference(rewrite,[status(thm)],[])).
% 7.36/5.56 tff(17093,plain,
% 7.36/5.56 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB129)) | (~(v130(constB129, bitIndex1) | (~v130(constB129, bitIndex2)) | (~v130(constB129, bitIndex0)))))),
% 7.36/5.56 inference(quant_inst,[status(thm)],[])).
% 7.36/5.56 tff(17094,plain,
% 7.36/5.56 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB129)) | (~(v130(constB129, bitIndex1) | (~v130(constB129, bitIndex2)) | (~v130(constB129, bitIndex0))))),
% 7.45/5.56 inference(modus_ponens,[status(thm)],[17093, 17092])).
% 7.45/5.56 tff(17095,plain,
% 7.45/5.56 ((~v123(constB129)) | (~(v130(constB129, bitIndex1) | (~v130(constB129, bitIndex2)) | (~v130(constB129, bitIndex0))))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17094, 4722])).
% 7.45/5.56 tff(17096,plain,
% 7.45/5.56 (~(v130(constB129, bitIndex1) | (~v130(constB129, bitIndex2)) | (~v130(constB129, bitIndex0)))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17095, 17091])).
% 7.45/5.56 tff(17097,plain,
% 7.45/5.56 ((v130(constB129, bitIndex1) | (~v130(constB129, bitIndex2)) | (~v130(constB129, bitIndex0))) | v130(constB129, bitIndex2)),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17098,plain,
% 7.45/5.56 (v130(constB129, bitIndex2)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17097, 17096])).
% 7.45/5.56 tff(17099,plain,
% 7.45/5.56 (((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | v127(constB129, bitIndex2) | (~v130(constB129, bitIndex2))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17100,plain,
% 7.45/5.56 (v127(constB129, bitIndex2)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17099, 17098, 14235])).
% 7.45/5.56 tff(17101,plain,
% 7.45/5.56 (((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | v129(constB130, bitIndex2) | (~v127(constB129, bitIndex2))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17102,plain,
% 7.45/5.56 (v129(constB130, bitIndex2)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17101, 17100, 14221])).
% 7.45/5.56 tff(17103,plain,
% 7.45/5.56 (((~![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))))))),
% 7.45/5.56 inference(rewrite,[status(thm)],[])).
% 7.45/5.56 tff(17104,plain,
% 7.45/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17105,plain,
% 7.45/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB129, constB130)) | (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))),
% 7.45/5.56 inference(modus_ponens,[status(thm)],[17104, 17103])).
% 7.45/5.56 tff(17106,plain,
% 7.45/5.56 (v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130))))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17105, 14215, 433])).
% 7.45/5.56 tff(17107,plain,
% 7.45/5.56 (((~![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))))))),
% 7.45/5.56 inference(rewrite,[status(thm)],[])).
% 7.45/5.56 tff(17108,plain,
% 7.45/5.56 (((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130)))))) <=> ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))))),
% 7.45/5.56 inference(rewrite,[status(thm)],[])).
% 7.45/5.56 tff(17109,plain,
% 7.45/5.56 (((~![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)))))))),
% 7.45/5.56 inference(monotonicity,[status(thm)],[17108])).
% 7.45/5.56 tff(17110,plain,
% 7.45/5.56 (((~![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))))))),
% 7.45/5.56 inference(transitivity,[status(thm)],[17109, 17107])).
% 7.45/5.56 tff(17111,plain,
% 7.45/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v102(constB130)) | (~v1(constB130))))))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17112,plain,
% 7.45/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))),
% 7.45/5.56 inference(modus_ponens,[status(thm)],[17111, 17110])).
% 7.45/5.56 tff(17113,plain,
% 7.45/5.56 (v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130))))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17112, 14215, 453])).
% 7.45/5.56 tff(17114,plain,
% 7.45/5.56 (((~![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)))),
% 7.45/5.56 inference(rewrite,[status(thm)],[])).
% 7.45/5.56 tff(17115,plain,
% 7.45/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130)))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17116,plain,
% 7.45/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB129, constB130)) | ((~v102(constB130)) <=> v104(constB130))),
% 7.45/5.56 inference(modus_ponens,[status(thm)],[17115, 17114])).
% 7.45/5.56 tff(17117,plain,
% 7.45/5.56 ((~v102(constB130)) <=> v104(constB130)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17116, 14215, 3966])).
% 7.45/5.56 tff(17118,plain,
% 7.45/5.56 (((~![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)))),
% 7.45/5.56 inference(rewrite,[status(thm)],[])).
% 7.45/5.56 tff(17119,plain,
% 7.45/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129)))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17120,plain,
% 7.45/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v1(constB129))),
% 7.45/5.56 inference(modus_ponens,[status(thm)],[17119, 17118])).
% 7.45/5.56 tff(17121,plain,
% 7.45/5.56 (v104(constB130) <=> v1(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17120, 14215, 3980])).
% 7.45/5.56 tff(17122,plain,
% 7.45/5.56 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130)) | v1(constB129)),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17123,plain,
% 7.45/5.56 ((~(v104(constB130) <=> v1(constB129))) | (~v104(constB130))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17122, 14259])).
% 7.45/5.56 tff(17124,plain,
% 7.45/5.56 (~v104(constB130)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17123, 17121])).
% 7.45/5.56 tff(17125,plain,
% 7.45/5.56 ((~((~v102(constB130)) <=> v104(constB130))) | v102(constB130) | v104(constB130)),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17126,plain,
% 7.45/5.56 (v102(constB130)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17125, 17124, 17117])).
% 7.45/5.56 tff(17127,plain,
% 7.45/5.56 (v1(constB130) <=> v1(constB130)),
% 7.45/5.56 inference(rewrite,[status(thm)],[])).
% 7.45/5.56 tff(17128,axiom,(v1(constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_130')).
% 7.45/5.56 tff(17129,plain,
% 7.45/5.56 (v1(constB130)),
% 7.45/5.56 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 7.45/5.56 tff(17130,plain,
% 7.45/5.56 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v1(constB130)) | (~v102(constB130))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17131,plain,
% 7.45/5.56 ((~((~v1(constB130)) | (~v102(constB130)))) | (~v102(constB130))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17130, 17129])).
% 7.45/5.56 tff(17132,plain,
% 7.45/5.56 (~((~v1(constB130)) | (~v102(constB130)))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17131, 17126])).
% 7.45/5.56 tff(17133,plain,
% 7.45/5.56 ((~(v101(constB130) <=> (~((~v1(constB130)) | (~v102(constB130)))))) | v101(constB130) | ((~v1(constB130)) | (~v102(constB130)))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17134,plain,
% 7.45/5.56 (v101(constB130)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17133, 17132, 17113])).
% 7.45/5.56 tff(17135,plain,
% 7.45/5.56 (((~![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)))),
% 7.45/5.56 inference(rewrite,[status(thm)],[])).
% 7.45/5.56 tff(17136,plain,
% 7.45/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129)))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17137,plain,
% 7.45/5.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB129, constB130)) | (v110(constB130) <=> v108(constB129))),
% 7.45/5.56 inference(modus_ponens,[status(thm)],[17136, 17135])).
% 7.45/5.56 tff(17138,plain,
% 7.45/5.56 (v110(constB130) <=> v108(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17137, 14215, 4007])).
% 7.45/5.56 tff(17139,plain,
% 7.45/5.56 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB129) <=> (v111(constB129) | v112(constB129)))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17140,plain,
% 7.45/5.56 (v108(constB129) <=> (v111(constB129) | v112(constB129))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17139, 4018])).
% 7.45/5.56 tff(17141,plain,
% 7.45/5.56 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17142,plain,
% 7.45/5.56 (v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129))))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17141, 4030])).
% 7.45/5.56 tff(17143,plain,
% 7.45/5.56 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB129) <=> (v114(constB129) | v125(constB129)))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17144,plain,
% 7.45/5.56 (v113(constB129) <=> (v114(constB129) | v125(constB129))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17143, 4039])).
% 7.45/5.56 tff(17145,plain,
% 7.45/5.56 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB129) <=> (v115(constB129) | v124(constB129)))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17146,plain,
% 7.45/5.56 (v114(constB129) <=> (v115(constB129) | v124(constB129))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17145, 4048])).
% 7.45/5.56 tff(17147,plain,
% 7.45/5.56 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB129) <=> (v116(constB129) | v123(constB129)))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17148,plain,
% 7.45/5.56 (v115(constB129) <=> (v116(constB129) | v123(constB129))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17147, 4057])).
% 7.45/5.56 tff(17149,plain,
% 7.45/5.56 ((v116(constB129) | v123(constB129)) | (~v123(constB129))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17150,plain,
% 7.45/5.56 (v116(constB129) | v123(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17149, 17091])).
% 7.45/5.56 tff(17151,plain,
% 7.45/5.56 ((~(v115(constB129) <=> (v116(constB129) | v123(constB129)))) | v115(constB129) | (~(v116(constB129) | v123(constB129)))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17152,plain,
% 7.45/5.56 (v115(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17151, 17150, 17148])).
% 7.45/5.56 tff(17153,plain,
% 7.45/5.56 ((v115(constB129) | v124(constB129)) | (~v115(constB129))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17154,plain,
% 7.45/5.56 (v115(constB129) | v124(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17153, 17152])).
% 7.45/5.56 tff(17155,plain,
% 7.45/5.56 ((~(v114(constB129) <=> (v115(constB129) | v124(constB129)))) | v114(constB129) | (~(v115(constB129) | v124(constB129)))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17156,plain,
% 7.45/5.56 (v114(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17155, 17154, 17146])).
% 7.45/5.56 tff(17157,plain,
% 7.45/5.56 ((v114(constB129) | v125(constB129)) | (~v114(constB129))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17158,plain,
% 7.45/5.56 (v114(constB129) | v125(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17157, 17156])).
% 7.45/5.56 tff(17159,plain,
% 7.45/5.56 ((~(v113(constB129) <=> (v114(constB129) | v125(constB129)))) | v113(constB129) | (~(v114(constB129) | v125(constB129)))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17160,plain,
% 7.45/5.56 (v113(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17159, 17158, 17144])).
% 7.45/5.56 tff(17161,plain,
% 7.45/5.56 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB129)) <=> v111(constB129))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17162,plain,
% 7.45/5.56 ((~v126(constB129)) <=> v111(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17161, 4118])).
% 7.45/5.56 tff(17163,plain,
% 7.45/5.56 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129) | v111(constB129)),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17164,plain,
% 7.45/5.56 ((~((~v126(constB129)) <=> v111(constB129))) | v126(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17163, 14228])).
% 7.45/5.56 tff(17165,plain,
% 7.45/5.56 (v126(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17164, 17162])).
% 7.45/5.56 tff(17166,plain,
% 7.45/5.56 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129)) | (~v126(constB129))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17167,plain,
% 7.45/5.56 ((~((~v113(constB129)) | (~v126(constB129)))) | (~v113(constB129))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17166, 17165])).
% 7.45/5.56 tff(17168,plain,
% 7.45/5.56 (~((~v113(constB129)) | (~v126(constB129)))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17167, 17160])).
% 7.45/5.56 tff(17169,plain,
% 7.45/5.56 ((~(v112(constB129) <=> (~((~v113(constB129)) | (~v126(constB129)))))) | v112(constB129) | ((~v113(constB129)) | (~v126(constB129)))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17170,plain,
% 7.45/5.56 (v112(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17169, 17168, 17142])).
% 7.45/5.56 tff(17171,plain,
% 7.45/5.56 ((v111(constB129) | v112(constB129)) | (~v112(constB129))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17172,plain,
% 7.45/5.56 (v111(constB129) | v112(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17171, 17170])).
% 7.45/5.56 tff(17173,plain,
% 7.45/5.56 ((~(v108(constB129) <=> (v111(constB129) | v112(constB129)))) | v108(constB129) | (~(v111(constB129) | v112(constB129)))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17174,plain,
% 7.45/5.56 (v108(constB129)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17173, 17172, 17140])).
% 7.45/5.56 tff(17175,plain,
% 7.45/5.56 ((~(v110(constB130) <=> v108(constB129))) | v110(constB130) | (~v108(constB129))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17176,plain,
% 7.45/5.56 (v110(constB130)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17175, 17174, 17138])).
% 7.45/5.56 tff(17177,plain,
% 7.45/5.56 ((~((~v101(constB130)) | (~v110(constB130)))) | (~v101(constB130)) | (~v110(constB130))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17178,plain,
% 7.45/5.56 (~((~v101(constB130)) | (~v110(constB130)))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17177, 17176, 17134])).
% 7.45/5.56 tff(17179,plain,
% 7.45/5.56 ((~(v100(constB130) <=> (~((~v101(constB130)) | (~v110(constB130)))))) | v100(constB130) | ((~v101(constB130)) | (~v110(constB130)))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17180,plain,
% 7.45/5.56 (v100(constB130)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17179, 17178, 17106])).
% 7.45/5.56 tff(17181,plain,
% 7.45/5.56 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.45/5.56 inference(rewrite,[status(thm)],[])).
% 7.45/5.56 tff(17182,plain,
% 7.45/5.56 (((~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)))))),
% 7.45/5.56 inference(rewrite,[status(thm)],[])).
% 7.45/5.56 tff(17183,plain,
% 7.45/5.56 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 7.45/5.56 inference(monotonicity,[status(thm)],[17182])).
% 7.45/5.56 tff(17184,plain,
% 7.45/5.56 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.45/5.56 inference(transitivity,[status(thm)],[17183, 17181])).
% 7.45/5.56 tff(17185,plain,
% 7.45/5.56 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB130)) | (~(((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)) | ((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)))))),
% 7.45/5.56 inference(quant_inst,[status(thm)],[])).
% 7.45/5.56 tff(17186,plain,
% 7.45/5.56 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB130)) | (~(((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))))),
% 7.45/5.56 inference(modus_ponens,[status(thm)],[17185, 17184])).
% 7.45/5.56 tff(17187,plain,
% 7.45/5.56 ((~v100(constB130)) | (~(((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17186, 4151])).
% 7.45/5.56 tff(17188,plain,
% 7.45/5.56 (~(((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17187, 17180])).
% 7.45/5.56 tff(17189,plain,
% 7.45/5.56 ((((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))) | (~((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17190,plain,
% 7.45/5.56 (~((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17189, 17188])).
% 7.45/5.56 tff(17191,plain,
% 7.45/5.56 (((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | v90(constB130, bitIndex2) | (~v129(constB130, bitIndex2))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17192,plain,
% 7.45/5.56 (v90(constB130, bitIndex2)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17191, 17190, 17102])).
% 7.45/5.56 tff(17193,plain,
% 7.45/5.56 (((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | v90(constB131, bitIndex2) | (~v90(constB130, bitIndex2))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17194,plain,
% 7.45/5.56 (v90(constB131, bitIndex2)),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17193, 17192, 14212])).
% 7.45/5.56 tff(17195,plain,
% 7.45/5.56 ((((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))) | (~((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)))),
% 7.45/5.56 inference(tautology,[status(thm)],[])).
% 7.45/5.56 tff(17196,plain,
% 7.45/5.56 (~((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))),
% 7.45/5.56 inference(unit_resolution,[status(thm)],[17195, 14210])).
% 7.45/5.56 tff(17197,plain,
% 7.45/5.56 ((((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0))) | (~((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17198,plain,
% 7.45/5.57 (~((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17197, 14219])).
% 7.45/5.57 tff(17199,plain,
% 7.45/5.57 ((((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1))) | (~((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17200,plain,
% 7.45/5.57 (~((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17199, 14233])).
% 7.45/5.57 tff(17201,plain,
% 7.45/5.57 ((v130(constB129, bitIndex1) | (~v130(constB129, bitIndex2)) | (~v130(constB129, bitIndex0))) | v130(constB129, bitIndex0)),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17202,plain,
% 7.45/5.57 (v130(constB129, bitIndex0)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17201, 17096])).
% 7.45/5.57 tff(17203,plain,
% 7.45/5.57 (((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)) | v127(constB129, bitIndex0) | (~v130(constB129, bitIndex0))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17204,plain,
% 7.45/5.57 (v127(constB129, bitIndex0)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17203, 17202, 17200])).
% 7.45/5.57 tff(17205,plain,
% 7.45/5.57 (((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0)) | v129(constB130, bitIndex0) | (~v127(constB129, bitIndex0))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17206,plain,
% 7.45/5.57 (v129(constB130, bitIndex0)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17205, 17204, 17198])).
% 7.45/5.57 tff(17207,plain,
% 7.45/5.57 ((((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))) | (~((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17208,plain,
% 7.45/5.57 (~((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17207, 17188])).
% 7.45/5.57 tff(17209,plain,
% 7.45/5.57 (((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17210,plain,
% 7.45/5.57 (v90(constB130, bitIndex0)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17209, 17208, 17206])).
% 7.45/5.57 tff(17211,plain,
% 7.45/5.57 (((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0)) | v90(constB131, bitIndex0) | (~v90(constB130, bitIndex0))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17212,plain,
% 7.45/5.57 (v90(constB131, bitIndex0)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17211, 17210, 17196])).
% 7.45/5.57 tff(17213,plain,
% 7.45/5.57 ((((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | ((~v90(constB131, bitIndex2)) <=> v90(constB130, bitIndex2)) | ((~v90(constB131, bitIndex0)) <=> v90(constB130, bitIndex0))) | (~((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17214,plain,
% 7.45/5.57 (~((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17213, 14210])).
% 7.45/5.57 tff(17215,plain,
% 7.45/5.57 ((((~v129(constB130, bitIndex2)) <=> v127(constB129, bitIndex2)) | ((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | ((~v129(constB130, bitIndex0)) <=> v127(constB129, bitIndex0))) | (~((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17216,plain,
% 7.45/5.57 (~((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17215, 14219])).
% 7.45/5.57 tff(17217,plain,
% 7.45/5.57 ((((~v127(constB129, bitIndex2)) <=> v130(constB129, bitIndex2)) | ((~v127(constB129, bitIndex0)) <=> v130(constB129, bitIndex0)) | ((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1))) | (~((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17218,plain,
% 7.45/5.57 (~((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17217, 14233])).
% 7.45/5.57 tff(17219,plain,
% 7.45/5.57 ((v130(constB129, bitIndex1) | (~v130(constB129, bitIndex2)) | (~v130(constB129, bitIndex0))) | (~v130(constB129, bitIndex1))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17220,plain,
% 7.45/5.57 (~v130(constB129, bitIndex1)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17219, 17096])).
% 7.45/5.57 tff(17221,plain,
% 7.45/5.57 (((~v127(constB129, bitIndex1)) <=> v130(constB129, bitIndex1)) | (~v127(constB129, bitIndex1)) | v130(constB129, bitIndex1)),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17222,plain,
% 7.45/5.57 (~v127(constB129, bitIndex1)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17221, 17220, 17218])).
% 7.45/5.57 tff(17223,plain,
% 7.45/5.57 (((~v129(constB130, bitIndex1)) <=> v127(constB129, bitIndex1)) | (~v129(constB130, bitIndex1)) | v127(constB129, bitIndex1)),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17224,plain,
% 7.45/5.57 (~v129(constB130, bitIndex1)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17223, 17222, 17216])).
% 7.45/5.57 tff(17225,plain,
% 7.45/5.57 ((((~v90(constB130, bitIndex0)) <=> v129(constB130, bitIndex0)) | ((~v90(constB130, bitIndex2)) <=> v129(constB130, bitIndex2)) | ((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))) | (~((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17226,plain,
% 7.45/5.57 (~((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17225, 17188])).
% 7.45/5.57 tff(17227,plain,
% 7.45/5.57 (((~v90(constB130, bitIndex1)) <=> v129(constB130, bitIndex1)) | (~v90(constB130, bitIndex1)) | v129(constB130, bitIndex1)),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17228,plain,
% 7.45/5.57 (~v90(constB130, bitIndex1)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17227, 17226, 17224])).
% 7.45/5.57 tff(17229,plain,
% 7.45/5.57 (((~v90(constB131, bitIndex1)) <=> v90(constB130, bitIndex1)) | (~v90(constB131, bitIndex1)) | v90(constB130, bitIndex1)),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17230,plain,
% 7.45/5.57 (~v90(constB131, bitIndex1)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17229, 17228, 17214])).
% 7.45/5.57 tff(17231,plain,
% 7.45/5.57 ((~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0)))) | v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17232,plain,
% 7.45/5.57 (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0)))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17231, 17230, 17212, 17194])).
% 7.45/5.57 tff(17233,plain,
% 7.45/5.57 ((~(v124(constB131) <=> (~(v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0)))))) | v124(constB131) | (v90(constB131, bitIndex1) | (~v90(constB131, bitIndex2)) | (~v90(constB131, bitIndex0)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17234,plain,
% 7.45/5.57 (v124(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17233, 17232, 14176])).
% 7.45/5.57 tff(17235,plain,
% 7.45/5.57 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB131)) | (~(v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)) | (~v130(constB131, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB131)) | (~(v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)) | (~v130(constB131, bitIndex1)))))),
% 7.45/5.57 inference(rewrite,[status(thm)],[])).
% 7.45/5.57 tff(17236,plain,
% 7.45/5.57 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB131)) | (~(v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)) | (~v130(constB131, bitIndex1)))))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17237,plain,
% 7.45/5.57 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB131)) | (~(v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)) | (~v130(constB131, bitIndex1))))),
% 7.45/5.57 inference(modus_ponens,[status(thm)],[17236, 17235])).
% 7.45/5.57 tff(17238,plain,
% 7.45/5.57 ((~v124(constB131)) | (~(v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)) | (~v130(constB131, bitIndex1))))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17237, 4878])).
% 7.45/5.57 tff(17239,plain,
% 7.45/5.57 (~(v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)) | (~v130(constB131, bitIndex1)))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17238, 17234])).
% 7.45/5.57 tff(17240,plain,
% 7.45/5.57 ((v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)) | (~v130(constB131, bitIndex1))) | v130(constB131, bitIndex2)),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17241,plain,
% 7.45/5.57 (v130(constB131, bitIndex2)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17240, 17239])).
% 7.45/5.57 tff(17242,plain,
% 7.45/5.57 (((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | v127(constB131, bitIndex2) | (~v130(constB131, bitIndex2))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17243,plain,
% 7.45/5.57 (v127(constB131, bitIndex2)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17242, 17241, 14169])).
% 7.45/5.57 tff(17244,plain,
% 7.45/5.57 (((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | v129(constB132, bitIndex2) | (~v127(constB131, bitIndex2))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17245,plain,
% 7.45/5.57 (v129(constB132, bitIndex2)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17244, 17243, 14155])).
% 7.45/5.57 tff(17246,plain,
% 7.45/5.57 (((~![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))))))),
% 7.45/5.57 inference(rewrite,[status(thm)],[])).
% 7.45/5.57 tff(17247,plain,
% 7.45/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17248,plain,
% 7.45/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB131, constB132)) | (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))),
% 7.45/5.57 inference(modus_ponens,[status(thm)],[17247, 17246])).
% 7.45/5.57 tff(17249,plain,
% 7.45/5.57 (v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132))))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17248, 14149, 433])).
% 7.45/5.57 tff(17250,plain,
% 7.45/5.57 (((~![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))))))),
% 7.45/5.57 inference(rewrite,[status(thm)],[])).
% 7.45/5.57 tff(17251,plain,
% 7.45/5.57 (((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132)))))) <=> ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))))),
% 7.45/5.57 inference(rewrite,[status(thm)],[])).
% 7.45/5.57 tff(17252,plain,
% 7.45/5.57 (((~![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)))))))),
% 7.45/5.57 inference(monotonicity,[status(thm)],[17251])).
% 7.45/5.57 tff(17253,plain,
% 7.45/5.57 (((~![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))))))),
% 7.45/5.57 inference(transitivity,[status(thm)],[17252, 17250])).
% 7.45/5.57 tff(17254,plain,
% 7.45/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v102(constB132)) | (~v1(constB132))))))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17255,plain,
% 7.45/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))),
% 7.45/5.57 inference(modus_ponens,[status(thm)],[17254, 17253])).
% 7.45/5.57 tff(17256,plain,
% 7.45/5.57 (v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132))))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17255, 14149, 453])).
% 7.45/5.57 tff(17257,plain,
% 7.45/5.57 (((~![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)))),
% 7.45/5.57 inference(rewrite,[status(thm)],[])).
% 7.45/5.57 tff(17258,plain,
% 7.45/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132)))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17259,plain,
% 7.45/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB131, constB132)) | ((~v102(constB132)) <=> v104(constB132))),
% 7.45/5.57 inference(modus_ponens,[status(thm)],[17258, 17257])).
% 7.45/5.57 tff(17260,plain,
% 7.45/5.57 ((~v102(constB132)) <=> v104(constB132)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17259, 14149, 3966])).
% 7.45/5.57 tff(17261,plain,
% 7.45/5.57 (((~![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)))),
% 7.45/5.57 inference(rewrite,[status(thm)],[])).
% 7.45/5.57 tff(17262,plain,
% 7.45/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131)))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17263,plain,
% 7.45/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v1(constB131))),
% 7.45/5.57 inference(modus_ponens,[status(thm)],[17262, 17261])).
% 7.45/5.57 tff(17264,plain,
% 7.45/5.57 (v104(constB132) <=> v1(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17263, 14149, 3980])).
% 7.45/5.57 tff(17265,plain,
% 7.45/5.57 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132)) | v1(constB131)),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17266,plain,
% 7.45/5.57 ((~(v104(constB132) <=> v1(constB131))) | (~v104(constB132))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17265, 14193])).
% 7.45/5.57 tff(17267,plain,
% 7.45/5.57 (~v104(constB132)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17266, 17264])).
% 7.45/5.57 tff(17268,plain,
% 7.45/5.57 ((~((~v102(constB132)) <=> v104(constB132))) | v102(constB132) | v104(constB132)),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17269,plain,
% 7.45/5.57 (v102(constB132)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17268, 17267, 17260])).
% 7.45/5.57 tff(17270,plain,
% 7.45/5.57 (v1(constB132) <=> v1(constB132)),
% 7.45/5.57 inference(rewrite,[status(thm)],[])).
% 7.45/5.57 tff(17271,axiom,(v1(constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_132')).
% 7.45/5.57 tff(17272,plain,
% 7.45/5.57 (v1(constB132)),
% 7.45/5.57 inference(modus_ponens,[status(thm)],[17271, 17270])).
% 7.45/5.57 tff(17273,plain,
% 7.45/5.57 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v1(constB132)) | (~v102(constB132))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17274,plain,
% 7.45/5.57 ((~((~v1(constB132)) | (~v102(constB132)))) | (~v102(constB132))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17273, 17272])).
% 7.45/5.57 tff(17275,plain,
% 7.45/5.57 (~((~v1(constB132)) | (~v102(constB132)))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17274, 17269])).
% 7.45/5.57 tff(17276,plain,
% 7.45/5.57 ((~(v101(constB132) <=> (~((~v1(constB132)) | (~v102(constB132)))))) | v101(constB132) | ((~v1(constB132)) | (~v102(constB132)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17277,plain,
% 7.45/5.57 (v101(constB132)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17276, 17275, 17256])).
% 7.45/5.57 tff(17278,plain,
% 7.45/5.57 (((~![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)))),
% 7.45/5.57 inference(rewrite,[status(thm)],[])).
% 7.45/5.57 tff(17279,plain,
% 7.45/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131)))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17280,plain,
% 7.45/5.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB131, constB132)) | (v110(constB132) <=> v108(constB131))),
% 7.45/5.57 inference(modus_ponens,[status(thm)],[17279, 17278])).
% 7.45/5.57 tff(17281,plain,
% 7.45/5.57 (v110(constB132) <=> v108(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17280, 14149, 4007])).
% 7.45/5.57 tff(17282,plain,
% 7.45/5.57 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB131) <=> (v111(constB131) | v112(constB131)))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17283,plain,
% 7.45/5.57 (v108(constB131) <=> (v111(constB131) | v112(constB131))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17282, 4018])).
% 7.45/5.57 tff(17284,plain,
% 7.45/5.57 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17285,plain,
% 7.45/5.57 (v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131))))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17284, 4030])).
% 7.45/5.57 tff(17286,plain,
% 7.45/5.57 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB131) <=> (v114(constB131) | v125(constB131)))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17287,plain,
% 7.45/5.57 (v113(constB131) <=> (v114(constB131) | v125(constB131))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17286, 4039])).
% 7.45/5.57 tff(17288,plain,
% 7.45/5.57 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB131) <=> (v115(constB131) | v124(constB131)))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17289,plain,
% 7.45/5.57 (v114(constB131) <=> (v115(constB131) | v124(constB131))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17288, 4048])).
% 7.45/5.57 tff(17290,plain,
% 7.45/5.57 ((v115(constB131) | v124(constB131)) | (~v124(constB131))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17291,plain,
% 7.45/5.57 (v115(constB131) | v124(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17290, 17234])).
% 7.45/5.57 tff(17292,plain,
% 7.45/5.57 ((~(v114(constB131) <=> (v115(constB131) | v124(constB131)))) | v114(constB131) | (~(v115(constB131) | v124(constB131)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17293,plain,
% 7.45/5.57 (v114(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17292, 17291, 17289])).
% 7.45/5.57 tff(17294,plain,
% 7.45/5.57 ((v114(constB131) | v125(constB131)) | (~v114(constB131))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17295,plain,
% 7.45/5.57 (v114(constB131) | v125(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17294, 17293])).
% 7.45/5.57 tff(17296,plain,
% 7.45/5.57 ((~(v113(constB131) <=> (v114(constB131) | v125(constB131)))) | v113(constB131) | (~(v114(constB131) | v125(constB131)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17297,plain,
% 7.45/5.57 (v113(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17296, 17295, 17287])).
% 7.45/5.57 tff(17298,plain,
% 7.45/5.57 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB131)) <=> v111(constB131))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17299,plain,
% 7.45/5.57 ((~v126(constB131)) <=> v111(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17298, 4118])).
% 7.45/5.57 tff(17300,plain,
% 7.45/5.57 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131) | v111(constB131)),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17301,plain,
% 7.45/5.57 ((~((~v126(constB131)) <=> v111(constB131))) | v126(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17300, 14162])).
% 7.45/5.57 tff(17302,plain,
% 7.45/5.57 (v126(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17301, 17299])).
% 7.45/5.57 tff(17303,plain,
% 7.45/5.57 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131)) | (~v126(constB131))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17304,plain,
% 7.45/5.57 ((~((~v113(constB131)) | (~v126(constB131)))) | (~v113(constB131))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17303, 17302])).
% 7.45/5.57 tff(17305,plain,
% 7.45/5.57 (~((~v113(constB131)) | (~v126(constB131)))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17304, 17297])).
% 7.45/5.57 tff(17306,plain,
% 7.45/5.57 ((~(v112(constB131) <=> (~((~v113(constB131)) | (~v126(constB131)))))) | v112(constB131) | ((~v113(constB131)) | (~v126(constB131)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17307,plain,
% 7.45/5.57 (v112(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17306, 17305, 17285])).
% 7.45/5.57 tff(17308,plain,
% 7.45/5.57 ((v111(constB131) | v112(constB131)) | (~v112(constB131))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17309,plain,
% 7.45/5.57 (v111(constB131) | v112(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17308, 17307])).
% 7.45/5.57 tff(17310,plain,
% 7.45/5.57 ((~(v108(constB131) <=> (v111(constB131) | v112(constB131)))) | v108(constB131) | (~(v111(constB131) | v112(constB131)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17311,plain,
% 7.45/5.57 (v108(constB131)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17310, 17309, 17283])).
% 7.45/5.57 tff(17312,plain,
% 7.45/5.57 ((~(v110(constB132) <=> v108(constB131))) | v110(constB132) | (~v108(constB131))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17313,plain,
% 7.45/5.57 (v110(constB132)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17312, 17311, 17281])).
% 7.45/5.57 tff(17314,plain,
% 7.45/5.57 ((~((~v101(constB132)) | (~v110(constB132)))) | (~v101(constB132)) | (~v110(constB132))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17315,plain,
% 7.45/5.57 (~((~v101(constB132)) | (~v110(constB132)))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17314, 17313, 17277])).
% 7.45/5.57 tff(17316,plain,
% 7.45/5.57 ((~(v100(constB132) <=> (~((~v101(constB132)) | (~v110(constB132)))))) | v100(constB132) | ((~v101(constB132)) | (~v110(constB132)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17317,plain,
% 7.45/5.57 (v100(constB132)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17316, 17315, 17249])).
% 7.45/5.57 tff(17318,plain,
% 7.45/5.57 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.45/5.57 inference(rewrite,[status(thm)],[])).
% 7.45/5.57 tff(17319,plain,
% 7.45/5.57 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB132)) | (~(((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0)))))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17320,plain,
% 7.45/5.57 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB132)) | (~(((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))))),
% 7.45/5.57 inference(modus_ponens,[status(thm)],[17319, 17318])).
% 7.45/5.57 tff(17321,plain,
% 7.45/5.57 ((~v100(constB132)) | (~(((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17320, 4151])).
% 7.45/5.57 tff(17322,plain,
% 7.45/5.57 (~(((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0)))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17321, 17317])).
% 7.45/5.57 tff(17323,plain,
% 7.45/5.57 ((((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))) | (~((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17324,plain,
% 7.45/5.57 (~((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17323, 17322])).
% 7.45/5.57 tff(17325,plain,
% 7.45/5.57 (((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17326,plain,
% 7.45/5.57 (v90(constB132, bitIndex2)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17325, 17324, 17245])).
% 7.45/5.57 tff(17327,plain,
% 7.45/5.57 (((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | v90(constB133, bitIndex2) | (~v90(constB132, bitIndex2))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17328,plain,
% 7.45/5.57 (v90(constB133, bitIndex2)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17327, 17326, 14146])).
% 7.45/5.57 tff(17329,plain,
% 7.45/5.57 ((v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex2))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17330,plain,
% 7.45/5.57 (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17329, 17328])).
% 7.45/5.57 tff(17331,plain,
% 7.45/5.57 ((~(v119(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))))) | (~v119(constB133)) | (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17332,plain,
% 7.45/5.57 (~v119(constB133)),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17331, 17330, 14110])).
% 7.45/5.57 tff(17333,plain,
% 7.45/5.57 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex0))))))),
% 7.45/5.57 inference(rewrite,[status(thm)],[])).
% 7.45/5.57 tff(17334,plain,
% 7.45/5.57 ((v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2))))) <=> (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex0)))))),
% 7.45/5.57 inference(rewrite,[status(thm)],[])).
% 7.45/5.57 tff(17335,plain,
% 7.45/5.57 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex0))))))),
% 7.45/5.57 inference(monotonicity,[status(thm)],[17334])).
% 7.45/5.57 tff(17336,plain,
% 7.45/5.57 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex0))))))),
% 7.45/5.57 inference(transitivity,[status(thm)],[17335, 17333])).
% 7.45/5.57 tff(17337,plain,
% 7.45/5.57 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex2)))))),
% 7.45/5.57 inference(quant_inst,[status(thm)],[])).
% 7.45/5.57 tff(17338,plain,
% 7.45/5.57 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex0)))))),
% 7.45/5.57 inference(modus_ponens,[status(thm)],[17337, 17336])).
% 7.45/5.57 tff(17339,plain,
% 7.45/5.57 (v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex0))))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17338, 801])).
% 7.45/5.57 tff(17340,plain,
% 7.45/5.57 ((((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))) | (~((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17341,plain,
% 7.45/5.57 (~((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17340, 14144])).
% 7.45/5.57 tff(17342,plain,
% 7.45/5.57 ((((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0))) | (~((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17343,plain,
% 7.45/5.57 (~((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17342, 14153])).
% 7.45/5.57 tff(17344,plain,
% 7.45/5.57 ((((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1))) | (~((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)))),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.57 tff(17345,plain,
% 7.45/5.57 (~((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1))),
% 7.45/5.57 inference(unit_resolution,[status(thm)],[17344, 14167])).
% 7.45/5.57 tff(17346,plain,
% 7.45/5.57 ((v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)) | (~v130(constB131, bitIndex1))) | v130(constB131, bitIndex1)),
% 7.45/5.57 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17347,plain,
% 7.45/5.58 (v130(constB131, bitIndex1)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17346, 17239])).
% 7.45/5.58 tff(17348,plain,
% 7.45/5.58 (((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1)) | v127(constB131, bitIndex1) | (~v130(constB131, bitIndex1))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17349,plain,
% 7.45/5.58 (v127(constB131, bitIndex1)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17348, 17347, 17345])).
% 7.45/5.58 tff(17350,plain,
% 7.45/5.58 (((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | v129(constB132, bitIndex1) | (~v127(constB131, bitIndex1))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17351,plain,
% 7.45/5.58 (v129(constB132, bitIndex1)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17350, 17349, 17343])).
% 7.45/5.58 tff(17352,plain,
% 7.45/5.58 ((((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))) | (~((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17353,plain,
% 7.45/5.58 (~((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17352, 17322])).
% 7.45/5.58 tff(17354,plain,
% 7.45/5.58 (((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | v90(constB132, bitIndex1) | (~v129(constB132, bitIndex1))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17355,plain,
% 7.45/5.58 (v90(constB132, bitIndex1)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17354, 17353, 17351])).
% 7.45/5.58 tff(17356,plain,
% 7.45/5.58 (((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | v90(constB133, bitIndex1) | (~v90(constB132, bitIndex1))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17357,plain,
% 7.45/5.58 (v90(constB133, bitIndex1)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17356, 17355, 17341])).
% 7.45/5.58 tff(17358,plain,
% 7.45/5.58 ((v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex1))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17359,plain,
% 7.45/5.58 (v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex0))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17358, 17357])).
% 7.45/5.58 tff(17360,plain,
% 7.45/5.58 ((~(v124(constB133) <=> (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex0)))))) | (~v124(constB133)) | (~(v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | (~v90(constB133, bitIndex0))))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17361,plain,
% 7.45/5.58 (~v124(constB133)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17360, 17359, 17339])).
% 7.45/5.58 tff(17362,plain,
% 7.45/5.58 (((~![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))))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17363,plain,
% 7.45/5.58 ((v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2))))) <=> (v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2)))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17364,plain,
% 7.45/5.58 (((~![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))))))),
% 7.45/5.58 inference(monotonicity,[status(thm)],[17363])).
% 7.45/5.58 tff(17365,plain,
% 7.45/5.58 (((~![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))))))),
% 7.45/5.58 inference(transitivity,[status(thm)],[17364, 17362])).
% 7.45/5.58 tff(17366,plain,
% 7.45/5.58 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)))))),
% 7.45/5.58 inference(quant_inst,[status(thm)],[])).
% 7.45/5.58 tff(17367,plain,
% 7.45/5.58 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2)))))),
% 7.45/5.58 inference(modus_ponens,[status(thm)],[17366, 17365])).
% 7.45/5.58 tff(17368,plain,
% 7.45/5.58 (v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2))))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17367, 880])).
% 7.45/5.58 tff(17369,plain,
% 7.45/5.58 ((v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2))) | (~v90(constB133, bitIndex1))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17370,plain,
% 7.45/5.58 (v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17369, 17357])).
% 7.45/5.58 tff(17371,plain,
% 7.45/5.58 ((~(v123(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2)))))) | (~v123(constB133)) | (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex2))))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17372,plain,
% 7.45/5.58 (~v123(constB133)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17371, 17370, 17368])).
% 7.45/5.58 tff(17373,plain,
% 7.45/5.58 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17374,plain,
% 7.45/5.58 ((v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1))))) <=> (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0)))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17375,plain,
% 7.45/5.58 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))))),
% 7.45/5.58 inference(monotonicity,[status(thm)],[17374])).
% 7.45/5.58 tff(17376,plain,
% 7.45/5.58 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))))),
% 7.45/5.58 inference(transitivity,[status(thm)],[17375, 17373])).
% 7.45/5.58 tff(17377,plain,
% 7.45/5.58 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)) | (~v90(constB133, bitIndex1)))))),
% 7.45/5.58 inference(quant_inst,[status(thm)],[])).
% 7.45/5.58 tff(17378,plain,
% 7.45/5.58 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0)))))),
% 7.45/5.58 inference(modus_ponens,[status(thm)],[17377, 17376])).
% 7.45/5.58 tff(17379,plain,
% 7.45/5.58 (v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17378, 959])).
% 7.45/5.58 tff(17380,plain,
% 7.45/5.58 ((v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex2))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17381,plain,
% 7.45/5.58 (v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17380, 17328])).
% 7.45/5.58 tff(17382,plain,
% 7.45/5.58 ((~(v122(constB133) <=> (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0)))))) | (~v122(constB133)) | (~(v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex0))))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17383,plain,
% 7.45/5.58 (~v122(constB133)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17382, 17381, 17379])).
% 7.45/5.58 tff(17384,plain,
% 7.45/5.58 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1))))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17385,plain,
% 7.45/5.58 ((v121(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1))))) <=> (v121(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17386,plain,
% 7.45/5.58 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1))))))),
% 7.45/5.58 inference(monotonicity,[status(thm)],[17385])).
% 7.45/5.58 tff(17387,plain,
% 7.45/5.58 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1))))))),
% 7.45/5.58 inference(transitivity,[status(thm)],[17386, 17384])).
% 7.45/5.58 tff(17388,plain,
% 7.45/5.58 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex0) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex1)))))),
% 7.45/5.58 inference(quant_inst,[status(thm)],[])).
% 7.45/5.58 tff(17389,plain,
% 7.45/5.58 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)))))),
% 7.45/5.58 inference(modus_ponens,[status(thm)],[17388, 17387])).
% 7.45/5.58 tff(17390,plain,
% 7.45/5.58 (v121(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1))))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17389, 574])).
% 7.45/5.58 tff(17391,plain,
% 7.45/5.58 ((v90(constB133, bitIndex2) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1))) | (~v90(constB133, bitIndex2))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17392,plain,
% 7.45/5.58 (v90(constB133, bitIndex2) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17391, 17328])).
% 7.45/5.58 tff(17393,plain,
% 7.45/5.58 ((~(v121(constB133) <=> (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)))))) | (~v121(constB133)) | (~(v90(constB133, bitIndex2) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1))))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17394,plain,
% 7.45/5.58 (~v121(constB133)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17393, 17392, 17390])).
% 7.45/5.58 tff(17395,plain,
% 7.45/5.58 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)))))),
% 7.45/5.58 inference(quant_inst,[status(thm)],[])).
% 7.45/5.58 tff(17396,plain,
% 7.45/5.58 (v120(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0))))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17395, 653])).
% 7.45/5.58 tff(17397,plain,
% 7.45/5.58 ((v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0))) | (~v90(constB133, bitIndex2))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17398,plain,
% 7.45/5.58 (v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17397, 17328])).
% 7.45/5.58 tff(17399,plain,
% 7.45/5.58 ((~(v120(constB133) <=> (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0)))))) | (~v120(constB133)) | (~(v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | (~v90(constB133, bitIndex0))))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17400,plain,
% 7.45/5.58 (~v120(constB133)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17399, 17398, 17396])).
% 7.45/5.58 tff(17401,plain,
% 7.45/5.58 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, 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(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0)))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17402,plain,
% 7.45/5.58 ((v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0))))) <=> (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0)))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17403,plain,
% 7.45/5.58 ((~(v130(constB133, bitIndex1) | v130(constB133, bitIndex2) | (~v130(constB133, bitIndex0)))) <=> (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17404,plain,
% 7.45/5.58 ((v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~(v130(constB133, bitIndex1) | v130(constB133, bitIndex2) | (~v130(constB133, bitIndex0))))) <=> (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0)))))),
% 7.45/5.58 inference(monotonicity,[status(thm)],[17403])).
% 7.45/5.58 tff(17405,plain,
% 7.45/5.58 ((v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~(v130(constB133, bitIndex1) | v130(constB133, bitIndex2) | (~v130(constB133, bitIndex0))))) <=> (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0)))))),
% 7.45/5.58 inference(transitivity,[status(thm)],[17404, 17402])).
% 7.45/5.58 tff(17406,plain,
% 7.45/5.58 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~(v130(constB133, bitIndex1) | v130(constB133, bitIndex2) | (~v130(constB133, 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(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0))))))),
% 7.45/5.58 inference(monotonicity,[status(thm)],[17405])).
% 7.45/5.58 tff(17407,plain,
% 7.45/5.58 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~(v130(constB133, bitIndex1) | v130(constB133, bitIndex2) | (~v130(constB133, 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(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0)))))),
% 7.45/5.58 inference(transitivity,[status(thm)],[17406, 17401])).
% 7.45/5.58 tff(17408,plain,
% 7.45/5.58 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB133) | v123(constB133) | v122(constB133) | v121(constB133) | v120(constB133) | v119(constB133) | (~(v130(constB133, bitIndex1) | v130(constB133, bitIndex2) | (~v130(constB133, bitIndex0)))))),
% 7.45/5.58 inference(quant_inst,[status(thm)],[])).
% 7.45/5.58 tff(17409,plain,
% 7.45/5.58 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0))))),
% 7.45/5.58 inference(modus_ponens,[status(thm)],[17408, 17407])).
% 7.45/5.58 tff(17410,plain,
% 7.45/5.58 (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0))))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17409, 5057])).
% 7.45/5.58 tff(17411,plain,
% 7.45/5.58 (~(v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0)))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17410, 17400, 17394, 17383, 17372, 17361, 17332])).
% 7.45/5.58 tff(17412,plain,
% 7.45/5.58 ((v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0))) | (~v130(constB133, bitIndex2))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17413,plain,
% 7.45/5.58 (~v130(constB133, bitIndex2)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17412, 17411])).
% 7.45/5.58 tff(17414,plain,
% 7.45/5.58 (((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | (~v127(constB133, bitIndex2)) | v130(constB133, bitIndex2)),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17415,plain,
% 7.45/5.58 (~v127(constB133, bitIndex2)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17414, 17413, 14108])).
% 7.45/5.58 tff(17416,plain,
% 7.45/5.58 (((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | (~v129(constB134, bitIndex2)) | v127(constB133, bitIndex2)),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17417,plain,
% 7.45/5.58 (~v129(constB134, bitIndex2)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17416, 17415, 14094])).
% 7.45/5.58 tff(17418,plain,
% 7.45/5.58 (((~![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))))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17419,plain,
% 7.45/5.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))))),
% 7.45/5.58 inference(quant_inst,[status(thm)],[])).
% 7.45/5.58 tff(17420,plain,
% 7.45/5.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB133, constB134)) | (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))),
% 7.45/5.58 inference(modus_ponens,[status(thm)],[17419, 17418])).
% 7.45/5.58 tff(17421,plain,
% 7.45/5.58 (v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134))))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17420, 14088, 433])).
% 7.45/5.58 tff(17422,plain,
% 7.45/5.58 (((~![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))))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17423,plain,
% 7.45/5.58 (((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134)))))) <=> ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17424,plain,
% 7.45/5.58 (((~![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)))))))),
% 7.45/5.58 inference(monotonicity,[status(thm)],[17423])).
% 7.45/5.58 tff(17425,plain,
% 7.45/5.58 (((~![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))))))),
% 7.45/5.58 inference(transitivity,[status(thm)],[17424, 17422])).
% 7.45/5.58 tff(17426,plain,
% 7.45/5.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v102(constB134)) | (~v1(constB134))))))),
% 7.45/5.58 inference(quant_inst,[status(thm)],[])).
% 7.45/5.58 tff(17427,plain,
% 7.45/5.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))),
% 7.45/5.58 inference(modus_ponens,[status(thm)],[17426, 17425])).
% 7.45/5.58 tff(17428,plain,
% 7.45/5.58 (v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134))))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17427, 14088, 453])).
% 7.45/5.58 tff(17429,plain,
% 7.45/5.58 (((~![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)))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17430,plain,
% 7.45/5.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134)))),
% 7.45/5.58 inference(quant_inst,[status(thm)],[])).
% 7.45/5.58 tff(17431,plain,
% 7.45/5.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB133, constB134)) | ((~v102(constB134)) <=> v104(constB134))),
% 7.45/5.58 inference(modus_ponens,[status(thm)],[17430, 17429])).
% 7.45/5.58 tff(17432,plain,
% 7.45/5.58 ((~v102(constB134)) <=> v104(constB134)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17431, 14088, 3966])).
% 7.45/5.58 tff(17433,plain,
% 7.45/5.58 (((~![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)))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17434,plain,
% 7.45/5.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133)))),
% 7.45/5.58 inference(quant_inst,[status(thm)],[])).
% 7.45/5.58 tff(17435,plain,
% 7.45/5.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v1(constB133))),
% 7.45/5.58 inference(modus_ponens,[status(thm)],[17434, 17433])).
% 7.45/5.58 tff(17436,plain,
% 7.45/5.58 (v104(constB134) <=> v1(constB133)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17435, 14088, 3980])).
% 7.45/5.58 tff(17437,plain,
% 7.45/5.58 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134)) | v1(constB133)),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17438,plain,
% 7.45/5.58 ((~(v104(constB134) <=> v1(constB133))) | (~v104(constB134))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17437, 14127])).
% 7.45/5.58 tff(17439,plain,
% 7.45/5.58 (~v104(constB134)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17438, 17436])).
% 7.45/5.58 tff(17440,plain,
% 7.45/5.58 ((~((~v102(constB134)) <=> v104(constB134))) | v102(constB134) | v104(constB134)),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17441,plain,
% 7.45/5.58 (v102(constB134)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17440, 17439, 17432])).
% 7.45/5.58 tff(17442,plain,
% 7.45/5.58 (v1(constB134) <=> v1(constB134)),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.58 tff(17443,axiom,(v1(constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_134')).
% 7.45/5.58 tff(17444,plain,
% 7.45/5.58 (v1(constB134)),
% 7.45/5.58 inference(modus_ponens,[status(thm)],[17443, 17442])).
% 7.45/5.58 tff(17445,plain,
% 7.45/5.58 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v1(constB134)) | (~v102(constB134))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17446,plain,
% 7.45/5.58 ((~((~v1(constB134)) | (~v102(constB134)))) | (~v102(constB134))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17445, 17444])).
% 7.45/5.58 tff(17447,plain,
% 7.45/5.58 (~((~v1(constB134)) | (~v102(constB134)))),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17446, 17441])).
% 7.45/5.58 tff(17448,plain,
% 7.45/5.58 ((~(v101(constB134) <=> (~((~v1(constB134)) | (~v102(constB134)))))) | v101(constB134) | ((~v1(constB134)) | (~v102(constB134)))),
% 7.45/5.58 inference(tautology,[status(thm)],[])).
% 7.45/5.58 tff(17449,plain,
% 7.45/5.58 (v101(constB134)),
% 7.45/5.58 inference(unit_resolution,[status(thm)],[17448, 17447, 17428])).
% 7.45/5.58 tff(17450,plain,
% 7.45/5.58 (((~![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)))),
% 7.45/5.58 inference(rewrite,[status(thm)],[])).
% 7.45/5.59 tff(17451,plain,
% 7.45/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133)))),
% 7.45/5.59 inference(quant_inst,[status(thm)],[])).
% 7.45/5.59 tff(17452,plain,
% 7.45/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB133, constB134)) | (v110(constB134) <=> v108(constB133))),
% 7.45/5.59 inference(modus_ponens,[status(thm)],[17451, 17450])).
% 7.45/5.59 tff(17453,plain,
% 7.45/5.59 (v110(constB134) <=> v108(constB133)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17452, 14088, 4007])).
% 7.45/5.59 tff(17454,plain,
% 7.45/5.59 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB133) <=> (v111(constB133) | v112(constB133)))),
% 7.45/5.59 inference(quant_inst,[status(thm)],[])).
% 7.45/5.59 tff(17455,plain,
% 7.45/5.59 (v108(constB133) <=> (v111(constB133) | v112(constB133))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17454, 4018])).
% 7.45/5.59 tff(17456,plain,
% 7.45/5.59 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))),
% 7.45/5.59 inference(quant_inst,[status(thm)],[])).
% 7.45/5.59 tff(17457,plain,
% 7.45/5.59 (v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133))))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17456, 4030])).
% 7.45/5.59 tff(17458,plain,
% 7.45/5.59 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB133) <=> (v114(constB133) | v125(constB133)))),
% 7.45/5.59 inference(quant_inst,[status(thm)],[])).
% 7.45/5.59 tff(17459,plain,
% 7.45/5.59 (v113(constB133) <=> (v114(constB133) | v125(constB133))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17458, 4039])).
% 7.45/5.59 tff(17460,plain,
% 7.45/5.59 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB133) <=> (~(v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)))))),
% 7.45/5.59 inference(quant_inst,[status(thm)],[])).
% 7.45/5.59 tff(17461,plain,
% 7.45/5.59 (v125(constB133) <=> (~(v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2))))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17460, 5129])).
% 7.45/5.59 tff(17462,plain,
% 7.45/5.59 ((((~v90(constB133, bitIndex1)) <=> v90(constB132, bitIndex1)) | ((~v90(constB133, bitIndex2)) <=> v90(constB132, bitIndex2)) | ((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))) | (~((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17463,plain,
% 7.45/5.59 (~((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17462, 14144])).
% 7.45/5.59 tff(17464,plain,
% 7.45/5.59 ((((~v129(constB132, bitIndex2)) <=> v127(constB131, bitIndex2)) | ((~v129(constB132, bitIndex1)) <=> v127(constB131, bitIndex1)) | ((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0))) | (~((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17465,plain,
% 7.45/5.59 (~((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17464, 14153])).
% 7.45/5.59 tff(17466,plain,
% 7.45/5.59 ((((~v127(constB131, bitIndex2)) <=> v130(constB131, bitIndex2)) | ((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)) | ((~v127(constB131, bitIndex1)) <=> v130(constB131, bitIndex1))) | (~((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17467,plain,
% 7.45/5.59 (~((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17466, 14167])).
% 7.45/5.59 tff(17468,plain,
% 7.45/5.59 ((v130(constB131, bitIndex0) | (~v130(constB131, bitIndex2)) | (~v130(constB131, bitIndex1))) | (~v130(constB131, bitIndex0))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17469,plain,
% 7.45/5.59 (~v130(constB131, bitIndex0)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17468, 17239])).
% 7.45/5.59 tff(17470,plain,
% 7.45/5.59 (((~v127(constB131, bitIndex0)) <=> v130(constB131, bitIndex0)) | (~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17471,plain,
% 7.45/5.59 (~v127(constB131, bitIndex0)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17470, 17469, 17467])).
% 7.45/5.59 tff(17472,plain,
% 7.45/5.59 (((~v129(constB132, bitIndex0)) <=> v127(constB131, bitIndex0)) | (~v129(constB132, bitIndex0)) | v127(constB131, bitIndex0)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17473,plain,
% 7.45/5.59 (~v129(constB132, bitIndex0)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17472, 17471, 17465])).
% 7.45/5.59 tff(17474,plain,
% 7.45/5.59 ((((~v90(constB132, bitIndex2)) <=> v129(constB132, bitIndex2)) | ((~v90(constB132, bitIndex1)) <=> v129(constB132, bitIndex1)) | ((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))) | (~((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17475,plain,
% 7.45/5.59 (~((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17474, 17322])).
% 7.45/5.59 tff(17476,plain,
% 7.45/5.59 (((~v90(constB132, bitIndex0)) <=> v129(constB132, bitIndex0)) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17477,plain,
% 7.45/5.59 (~v90(constB132, bitIndex0)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17476, 17475, 17473])).
% 7.45/5.59 tff(17478,plain,
% 7.45/5.59 (((~v90(constB133, bitIndex0)) <=> v90(constB132, bitIndex0)) | (~v90(constB133, bitIndex0)) | v90(constB132, bitIndex0)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17479,plain,
% 7.45/5.59 (~v90(constB133, bitIndex0)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17478, 17477, 17463])).
% 7.45/5.59 tff(17480,plain,
% 7.45/5.59 ((~(v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)))) | v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17481,plain,
% 7.45/5.59 (~(v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17480, 17357, 17479, 17328])).
% 7.45/5.59 tff(17482,plain,
% 7.45/5.59 ((~(v125(constB133) <=> (~(v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)))))) | v125(constB133) | (v90(constB133, bitIndex0) | (~v90(constB133, bitIndex1)) | (~v90(constB133, bitIndex2)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17483,plain,
% 7.45/5.59 (v125(constB133)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17482, 17481, 17461])).
% 7.45/5.59 tff(17484,plain,
% 7.45/5.59 ((v114(constB133) | v125(constB133)) | (~v125(constB133))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17485,plain,
% 7.45/5.59 (v114(constB133) | v125(constB133)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17484, 17483])).
% 7.45/5.59 tff(17486,plain,
% 7.45/5.59 ((~(v113(constB133) <=> (v114(constB133) | v125(constB133)))) | v113(constB133) | (~(v114(constB133) | v125(constB133)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17487,plain,
% 7.45/5.59 (v113(constB133)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17486, 17485, 17459])).
% 7.45/5.59 tff(17488,plain,
% 7.45/5.59 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB133)) <=> v111(constB133))),
% 7.45/5.59 inference(quant_inst,[status(thm)],[])).
% 7.45/5.59 tff(17489,plain,
% 7.45/5.59 ((~v126(constB133)) <=> v111(constB133)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17488, 4118])).
% 7.45/5.59 tff(17490,plain,
% 7.45/5.59 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133) | v111(constB133)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17491,plain,
% 7.45/5.59 ((~((~v126(constB133)) <=> v111(constB133))) | v126(constB133)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17490, 14101])).
% 7.45/5.59 tff(17492,plain,
% 7.45/5.59 (v126(constB133)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17491, 17489])).
% 7.45/5.59 tff(17493,plain,
% 7.45/5.59 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133)) | (~v126(constB133))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17494,plain,
% 7.45/5.59 ((~((~v113(constB133)) | (~v126(constB133)))) | (~v113(constB133))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17493, 17492])).
% 7.45/5.59 tff(17495,plain,
% 7.45/5.59 (~((~v113(constB133)) | (~v126(constB133)))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17494, 17487])).
% 7.45/5.59 tff(17496,plain,
% 7.45/5.59 ((~(v112(constB133) <=> (~((~v113(constB133)) | (~v126(constB133)))))) | v112(constB133) | ((~v113(constB133)) | (~v126(constB133)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17497,plain,
% 7.45/5.59 (v112(constB133)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17496, 17495, 17457])).
% 7.45/5.59 tff(17498,plain,
% 7.45/5.59 ((v111(constB133) | v112(constB133)) | (~v112(constB133))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17499,plain,
% 7.45/5.59 (v111(constB133) | v112(constB133)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17498, 17497])).
% 7.45/5.59 tff(17500,plain,
% 7.45/5.59 ((~(v108(constB133) <=> (v111(constB133) | v112(constB133)))) | v108(constB133) | (~(v111(constB133) | v112(constB133)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17501,plain,
% 7.45/5.59 (v108(constB133)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17500, 17499, 17455])).
% 7.45/5.59 tff(17502,plain,
% 7.45/5.59 ((~(v110(constB134) <=> v108(constB133))) | v110(constB134) | (~v108(constB133))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17503,plain,
% 7.45/5.59 (v110(constB134)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17502, 17501, 17453])).
% 7.45/5.59 tff(17504,plain,
% 7.45/5.59 ((~((~v101(constB134)) | (~v110(constB134)))) | (~v101(constB134)) | (~v110(constB134))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17505,plain,
% 7.45/5.59 (~((~v101(constB134)) | (~v110(constB134)))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17504, 17503, 17449])).
% 7.45/5.59 tff(17506,plain,
% 7.45/5.59 ((~(v100(constB134) <=> (~((~v101(constB134)) | (~v110(constB134)))))) | v100(constB134) | ((~v101(constB134)) | (~v110(constB134)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17507,plain,
% 7.45/5.59 (v100(constB134)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17506, 17505, 17421])).
% 7.45/5.59 tff(17508,plain,
% 7.45/5.59 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.45/5.59 inference(rewrite,[status(thm)],[])).
% 7.45/5.59 tff(17509,plain,
% 7.45/5.59 (((~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)))))),
% 7.45/5.59 inference(rewrite,[status(thm)],[])).
% 7.45/5.59 tff(17510,plain,
% 7.45/5.59 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 7.45/5.59 inference(monotonicity,[status(thm)],[17509])).
% 7.45/5.59 tff(17511,plain,
% 7.45/5.59 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.45/5.59 inference(transitivity,[status(thm)],[17510, 17508])).
% 7.45/5.59 tff(17512,plain,
% 7.45/5.59 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB134)) | (~(((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)) | ((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)))))),
% 7.45/5.59 inference(quant_inst,[status(thm)],[])).
% 7.45/5.59 tff(17513,plain,
% 7.45/5.59 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB134)) | (~(((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))))),
% 7.45/5.59 inference(modus_ponens,[status(thm)],[17512, 17511])).
% 7.45/5.59 tff(17514,plain,
% 7.45/5.59 ((~v100(constB134)) | (~(((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17513, 4151])).
% 7.45/5.59 tff(17515,plain,
% 7.45/5.59 (~(((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17514, 17507])).
% 7.45/5.59 tff(17516,plain,
% 7.45/5.59 ((((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))) | (~((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17517,plain,
% 7.45/5.59 (~((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17516, 17515])).
% 7.45/5.59 tff(17518,plain,
% 7.45/5.59 (((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | (~v90(constB134, bitIndex2)) | v129(constB134, bitIndex2)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17519,plain,
% 7.45/5.59 (~v90(constB134, bitIndex2)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17518, 17517, 17417])).
% 7.45/5.59 tff(17520,plain,
% 7.45/5.59 (((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | (~v90(constB135, bitIndex2)) | v90(constB134, bitIndex2)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17521,plain,
% 7.45/5.59 (~v90(constB135, bitIndex2)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17520, 17519, 14085])).
% 7.45/5.59 tff(17522,plain,
% 7.45/5.59 ((((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))) | (~((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17523,plain,
% 7.45/5.59 (~((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17522, 14083])).
% 7.45/5.59 tff(17524,plain,
% 7.45/5.59 ((((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0))) | (~((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17525,plain,
% 7.45/5.59 (~((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17524, 14092])).
% 7.45/5.59 tff(17526,plain,
% 7.45/5.59 ((((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1))) | (~((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17527,plain,
% 7.45/5.59 (~((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17526, 14106])).
% 7.45/5.59 tff(17528,plain,
% 7.45/5.59 ((v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0))) | v130(constB133, bitIndex0)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17529,plain,
% 7.45/5.59 (v130(constB133, bitIndex0)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17528, 17411])).
% 7.45/5.59 tff(17530,plain,
% 7.45/5.59 (((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)) | v127(constB133, bitIndex0) | (~v130(constB133, bitIndex0))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17531,plain,
% 7.45/5.59 (v127(constB133, bitIndex0)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17530, 17529, 17527])).
% 7.45/5.59 tff(17532,plain,
% 7.45/5.59 (((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0)) | v129(constB134, bitIndex0) | (~v127(constB133, bitIndex0))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17533,plain,
% 7.45/5.59 (v129(constB134, bitIndex0)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17532, 17531, 17525])).
% 7.45/5.59 tff(17534,plain,
% 7.45/5.59 ((((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))) | (~((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17535,plain,
% 7.45/5.59 (~((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17534, 17515])).
% 7.45/5.59 tff(17536,plain,
% 7.45/5.59 (((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | v90(constB134, bitIndex0) | (~v129(constB134, bitIndex0))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17537,plain,
% 7.45/5.59 (v90(constB134, bitIndex0)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17536, 17535, 17533])).
% 7.45/5.59 tff(17538,plain,
% 7.45/5.59 (((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0)) | v90(constB135, bitIndex0) | (~v90(constB134, bitIndex0))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17539,plain,
% 7.45/5.59 (v90(constB135, bitIndex0)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17538, 17537, 17523])).
% 7.45/5.59 tff(17540,plain,
% 7.45/5.59 ((((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | ((~v90(constB135, bitIndex2)) <=> v90(constB134, bitIndex2)) | ((~v90(constB135, bitIndex0)) <=> v90(constB134, bitIndex0))) | (~((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17541,plain,
% 7.45/5.59 (~((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17540, 14083])).
% 7.45/5.59 tff(17542,plain,
% 7.45/5.59 ((((~v129(constB134, bitIndex2)) <=> v127(constB133, bitIndex2)) | ((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | ((~v129(constB134, bitIndex0)) <=> v127(constB133, bitIndex0))) | (~((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17543,plain,
% 7.45/5.59 (~((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17542, 14092])).
% 7.45/5.59 tff(17544,plain,
% 7.45/5.59 ((((~v127(constB133, bitIndex2)) <=> v130(constB133, bitIndex2)) | ((~v127(constB133, bitIndex0)) <=> v130(constB133, bitIndex0)) | ((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1))) | (~((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17545,plain,
% 7.45/5.59 (~((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17544, 14106])).
% 7.45/5.59 tff(17546,plain,
% 7.45/5.59 ((v130(constB133, bitIndex2) | v130(constB133, bitIndex1) | (~v130(constB133, bitIndex0))) | (~v130(constB133, bitIndex1))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17547,plain,
% 7.45/5.59 (~v130(constB133, bitIndex1)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17546, 17411])).
% 7.45/5.59 tff(17548,plain,
% 7.45/5.59 (((~v127(constB133, bitIndex1)) <=> v130(constB133, bitIndex1)) | (~v127(constB133, bitIndex1)) | v130(constB133, bitIndex1)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17549,plain,
% 7.45/5.59 (~v127(constB133, bitIndex1)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17548, 17547, 17545])).
% 7.45/5.59 tff(17550,plain,
% 7.45/5.59 (((~v129(constB134, bitIndex1)) <=> v127(constB133, bitIndex1)) | (~v129(constB134, bitIndex1)) | v127(constB133, bitIndex1)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17551,plain,
% 7.45/5.59 (~v129(constB134, bitIndex1)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17550, 17549, 17543])).
% 7.45/5.59 tff(17552,plain,
% 7.45/5.59 ((((~v90(constB134, bitIndex0)) <=> v129(constB134, bitIndex0)) | ((~v90(constB134, bitIndex2)) <=> v129(constB134, bitIndex2)) | ((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))) | (~((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17553,plain,
% 7.45/5.59 (~((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17552, 17515])).
% 7.45/5.59 tff(17554,plain,
% 7.45/5.59 (((~v90(constB134, bitIndex1)) <=> v129(constB134, bitIndex1)) | (~v90(constB134, bitIndex1)) | v129(constB134, bitIndex1)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17555,plain,
% 7.45/5.59 (~v90(constB134, bitIndex1)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17554, 17553, 17551])).
% 7.45/5.59 tff(17556,plain,
% 7.45/5.59 (((~v90(constB135, bitIndex1)) <=> v90(constB134, bitIndex1)) | (~v90(constB135, bitIndex1)) | v90(constB134, bitIndex1)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17557,plain,
% 7.45/5.59 (~v90(constB135, bitIndex1)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17556, 17555, 17541])).
% 7.45/5.59 tff(17558,plain,
% 7.45/5.59 ((~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))) | v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17559,plain,
% 7.45/5.59 (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17558, 17557, 17539, 17521])).
% 7.45/5.59 tff(17560,plain,
% 7.45/5.59 ((~(v120(constB135) <=> (~(v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))))) | v120(constB135) | (v90(constB135, bitIndex1) | v90(constB135, bitIndex2) | (~v90(constB135, bitIndex0)))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17561,plain,
% 7.45/5.59 (v120(constB135)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17560, 17559, 14049])).
% 7.45/5.59 tff(17562,plain,
% 7.45/5.59 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB135)) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex0) | (~v130(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB135)) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex0) | (~v130(constB135, bitIndex1)))))),
% 7.45/5.59 inference(rewrite,[status(thm)],[])).
% 7.45/5.59 tff(17563,plain,
% 7.45/5.59 (((~v120(constB135)) | (~(v130(constB135, bitIndex0) | v130(constB135, bitIndex2) | (~v130(constB135, bitIndex1))))) <=> ((~v120(constB135)) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex0) | (~v130(constB135, bitIndex1)))))),
% 7.45/5.59 inference(rewrite,[status(thm)],[])).
% 7.45/5.59 tff(17564,plain,
% 7.45/5.59 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB135)) | (~(v130(constB135, bitIndex0) | v130(constB135, bitIndex2) | (~v130(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB135)) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex0) | (~v130(constB135, bitIndex1))))))),
% 7.45/5.59 inference(monotonicity,[status(thm)],[17563])).
% 7.45/5.59 tff(17565,plain,
% 7.45/5.59 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB135)) | (~(v130(constB135, bitIndex0) | v130(constB135, bitIndex2) | (~v130(constB135, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB135)) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex0) | (~v130(constB135, bitIndex1)))))),
% 7.45/5.59 inference(transitivity,[status(thm)],[17564, 17562])).
% 7.45/5.59 tff(17566,plain,
% 7.45/5.59 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB135)) | (~(v130(constB135, bitIndex0) | v130(constB135, bitIndex2) | (~v130(constB135, bitIndex1)))))),
% 7.45/5.59 inference(quant_inst,[status(thm)],[])).
% 7.45/5.59 tff(17567,plain,
% 7.45/5.59 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB135)) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex0) | (~v130(constB135, bitIndex1))))),
% 7.45/5.59 inference(modus_ponens,[status(thm)],[17566, 17565])).
% 7.45/5.59 tff(17568,plain,
% 7.45/5.59 ((~v120(constB135)) | (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex0) | (~v130(constB135, bitIndex1))))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17567, 4218])).
% 7.45/5.59 tff(17569,plain,
% 7.45/5.59 (~(v130(constB135, bitIndex2) | v130(constB135, bitIndex0) | (~v130(constB135, bitIndex1)))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17568, 17561])).
% 7.45/5.59 tff(17570,plain,
% 7.45/5.59 ((v130(constB135, bitIndex2) | v130(constB135, bitIndex0) | (~v130(constB135, bitIndex1))) | (~v130(constB135, bitIndex2))),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17571,plain,
% 7.45/5.59 (~v130(constB135, bitIndex2)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17570, 17569])).
% 7.45/5.59 tff(17572,plain,
% 7.45/5.59 (((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | (~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17573,plain,
% 7.45/5.59 (~v127(constB135, bitIndex2)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17572, 17571, 14047])).
% 7.45/5.59 tff(17574,plain,
% 7.45/5.59 (((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | (~v129(constB136, bitIndex2)) | v127(constB135, bitIndex2)),
% 7.45/5.59 inference(tautology,[status(thm)],[])).
% 7.45/5.59 tff(17575,plain,
% 7.45/5.59 (~v129(constB136, bitIndex2)),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17574, 17573, 14033])).
% 7.45/5.59 tff(17576,plain,
% 7.45/5.59 (((~![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))))))),
% 7.45/5.59 inference(rewrite,[status(thm)],[])).
% 7.45/5.59 tff(17577,plain,
% 7.45/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))))),
% 7.45/5.59 inference(quant_inst,[status(thm)],[])).
% 7.45/5.59 tff(17578,plain,
% 7.45/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB135, constB136)) | (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))),
% 7.45/5.59 inference(modus_ponens,[status(thm)],[17577, 17576])).
% 7.45/5.59 tff(17579,plain,
% 7.45/5.59 (v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136))))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17578, 14027, 433])).
% 7.45/5.59 tff(17580,plain,
% 7.45/5.59 (((~![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))))))),
% 7.45/5.59 inference(rewrite,[status(thm)],[])).
% 7.45/5.59 tff(17581,plain,
% 7.45/5.59 (((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136)))))) <=> ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))))),
% 7.45/5.59 inference(rewrite,[status(thm)],[])).
% 7.45/5.59 tff(17582,plain,
% 7.45/5.59 (((~![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)))))))),
% 7.45/5.59 inference(monotonicity,[status(thm)],[17581])).
% 7.45/5.59 tff(17583,plain,
% 7.45/5.59 (((~![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))))))),
% 7.45/5.59 inference(transitivity,[status(thm)],[17582, 17580])).
% 7.45/5.59 tff(17584,plain,
% 7.45/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v102(constB136)) | (~v1(constB136))))))),
% 7.45/5.59 inference(quant_inst,[status(thm)],[])).
% 7.45/5.59 tff(17585,plain,
% 7.45/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))),
% 7.45/5.59 inference(modus_ponens,[status(thm)],[17584, 17583])).
% 7.45/5.59 tff(17586,plain,
% 7.45/5.59 (v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136))))),
% 7.45/5.59 inference(unit_resolution,[status(thm)],[17585, 14027, 453])).
% 7.45/5.59 tff(17587,plain,
% 7.45/5.59 (((~![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)))),
% 7.45/5.59 inference(rewrite,[status(thm)],[])).
% 7.45/5.59 tff(17588,plain,
% 7.45/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136)))),
% 7.45/5.59 inference(quant_inst,[status(thm)],[])).
% 7.45/5.59 tff(17589,plain,
% 7.45/5.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB135, constB136)) | ((~v102(constB136)) <=> v104(constB136))),
% 7.45/5.59 inference(modus_ponens,[status(thm)],[17588, 17587])).
% 7.45/5.59 tff(17590,plain,
% 7.45/5.59 ((~v102(constB136)) <=> v104(constB136)),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17589, 14027, 3966])).
% 7.45/5.60 tff(17591,plain,
% 7.45/5.60 (((~![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)))),
% 7.45/5.60 inference(rewrite,[status(thm)],[])).
% 7.45/5.60 tff(17592,plain,
% 7.45/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135)))),
% 7.45/5.60 inference(quant_inst,[status(thm)],[])).
% 7.45/5.60 tff(17593,plain,
% 7.45/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v1(constB135))),
% 7.45/5.60 inference(modus_ponens,[status(thm)],[17592, 17591])).
% 7.45/5.60 tff(17594,plain,
% 7.45/5.60 (v104(constB136) <=> v1(constB135)),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17593, 14027, 3980])).
% 7.45/5.60 tff(17595,plain,
% 7.45/5.60 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136)) | v1(constB135)),
% 7.45/5.60 inference(tautology,[status(thm)],[])).
% 7.45/5.60 tff(17596,plain,
% 7.45/5.60 ((~(v104(constB136) <=> v1(constB135))) | (~v104(constB136))),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17595, 14066])).
% 7.45/5.60 tff(17597,plain,
% 7.45/5.60 (~v104(constB136)),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17596, 17594])).
% 7.45/5.60 tff(17598,plain,
% 7.45/5.60 ((~((~v102(constB136)) <=> v104(constB136))) | v102(constB136) | v104(constB136)),
% 7.45/5.60 inference(tautology,[status(thm)],[])).
% 7.45/5.60 tff(17599,plain,
% 7.45/5.60 (v102(constB136)),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17598, 17597, 17590])).
% 7.45/5.60 tff(17600,plain,
% 7.45/5.60 (v1(constB136) <=> v1(constB136)),
% 7.45/5.60 inference(rewrite,[status(thm)],[])).
% 7.45/5.60 tff(17601,axiom,(v1(constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_136')).
% 7.45/5.60 tff(17602,plain,
% 7.45/5.60 (v1(constB136)),
% 7.45/5.60 inference(modus_ponens,[status(thm)],[17601, 17600])).
% 7.45/5.60 tff(17603,plain,
% 7.45/5.60 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v1(constB136)) | (~v102(constB136))),
% 7.45/5.60 inference(tautology,[status(thm)],[])).
% 7.45/5.60 tff(17604,plain,
% 7.45/5.60 ((~((~v1(constB136)) | (~v102(constB136)))) | (~v102(constB136))),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17603, 17602])).
% 7.45/5.60 tff(17605,plain,
% 7.45/5.60 (~((~v1(constB136)) | (~v102(constB136)))),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17604, 17599])).
% 7.45/5.60 tff(17606,plain,
% 7.45/5.60 ((~(v101(constB136) <=> (~((~v1(constB136)) | (~v102(constB136)))))) | v101(constB136) | ((~v1(constB136)) | (~v102(constB136)))),
% 7.45/5.60 inference(tautology,[status(thm)],[])).
% 7.45/5.60 tff(17607,plain,
% 7.45/5.60 (v101(constB136)),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17606, 17605, 17586])).
% 7.45/5.60 tff(17608,plain,
% 7.45/5.60 (((~![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)))),
% 7.45/5.60 inference(rewrite,[status(thm)],[])).
% 7.45/5.60 tff(17609,plain,
% 7.45/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135)))),
% 7.45/5.60 inference(quant_inst,[status(thm)],[])).
% 7.45/5.60 tff(17610,plain,
% 7.45/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB135, constB136)) | (v110(constB136) <=> v108(constB135))),
% 7.45/5.60 inference(modus_ponens,[status(thm)],[17609, 17608])).
% 7.45/5.60 tff(17611,plain,
% 7.45/5.60 (v110(constB136) <=> v108(constB135)),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17610, 14027, 4007])).
% 7.45/5.60 tff(17612,plain,
% 7.45/5.60 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB135) <=> (v111(constB135) | v112(constB135)))),
% 7.45/5.60 inference(quant_inst,[status(thm)],[])).
% 7.45/5.60 tff(17613,plain,
% 7.45/5.60 (v108(constB135) <=> (v111(constB135) | v112(constB135))),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17612, 4018])).
% 7.45/5.60 tff(17614,plain,
% 7.45/5.60 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))),
% 7.45/5.60 inference(quant_inst,[status(thm)],[])).
% 7.45/5.60 tff(17615,plain,
% 7.45/5.60 (v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135))))),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17614, 4030])).
% 7.45/5.60 tff(17616,plain,
% 7.45/5.60 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB135) <=> (v114(constB135) | v125(constB135)))),
% 7.45/5.60 inference(quant_inst,[status(thm)],[])).
% 7.45/5.60 tff(17617,plain,
% 7.45/5.60 (v113(constB135) <=> (v114(constB135) | v125(constB135))),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17616, 4039])).
% 7.45/5.60 tff(17618,plain,
% 7.45/5.60 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB135) <=> (v115(constB135) | v124(constB135)))),
% 7.45/5.60 inference(quant_inst,[status(thm)],[])).
% 7.45/5.60 tff(17619,plain,
% 7.45/5.60 (v114(constB135) <=> (v115(constB135) | v124(constB135))),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17618, 4048])).
% 7.45/5.60 tff(17620,plain,
% 7.45/5.60 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB135) <=> (v116(constB135) | v123(constB135)))),
% 7.45/5.60 inference(quant_inst,[status(thm)],[])).
% 7.45/5.60 tff(17621,plain,
% 7.45/5.60 (v115(constB135) <=> (v116(constB135) | v123(constB135))),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17620, 4057])).
% 7.45/5.60 tff(17622,plain,
% 7.45/5.60 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB135) <=> (v117(constB135) | v122(constB135)))),
% 7.45/5.60 inference(quant_inst,[status(thm)],[])).
% 7.45/5.60 tff(17623,plain,
% 7.45/5.60 (v116(constB135) <=> (v117(constB135) | v122(constB135))),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17622, 4066])).
% 7.45/5.60 tff(17624,plain,
% 7.45/5.60 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB135) <=> (v118(constB135) | v121(constB135)))),
% 7.45/5.60 inference(quant_inst,[status(thm)],[])).
% 7.45/5.60 tff(17625,plain,
% 7.45/5.60 (v117(constB135) <=> (v118(constB135) | v121(constB135))),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17624, 4075])).
% 7.45/5.60 tff(17626,plain,
% 7.45/5.60 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB135) <=> (v119(constB135) | v120(constB135)))),
% 7.45/5.60 inference(quant_inst,[status(thm)],[])).
% 7.45/5.60 tff(17627,plain,
% 7.45/5.60 (v118(constB135) <=> (v119(constB135) | v120(constB135))),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17626, 4084])).
% 7.45/5.60 tff(17628,plain,
% 7.45/5.60 ((v119(constB135) | v120(constB135)) | (~v120(constB135))),
% 7.45/5.60 inference(tautology,[status(thm)],[])).
% 7.45/5.60 tff(17629,plain,
% 7.45/5.60 (v119(constB135) | v120(constB135)),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17628, 17561])).
% 7.45/5.60 tff(17630,plain,
% 7.45/5.60 ((~(v118(constB135) <=> (v119(constB135) | v120(constB135)))) | v118(constB135) | (~(v119(constB135) | v120(constB135)))),
% 7.45/5.60 inference(tautology,[status(thm)],[])).
% 7.45/5.60 tff(17631,plain,
% 7.45/5.60 (v118(constB135)),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17630, 17629, 17627])).
% 7.45/5.60 tff(17632,plain,
% 7.45/5.60 ((v118(constB135) | v121(constB135)) | (~v118(constB135))),
% 7.45/5.60 inference(tautology,[status(thm)],[])).
% 7.45/5.60 tff(17633,plain,
% 7.45/5.60 (v118(constB135) | v121(constB135)),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17632, 17631])).
% 7.45/5.60 tff(17634,plain,
% 7.45/5.60 ((~(v117(constB135) <=> (v118(constB135) | v121(constB135)))) | v117(constB135) | (~(v118(constB135) | v121(constB135)))),
% 7.45/5.60 inference(tautology,[status(thm)],[])).
% 7.45/5.60 tff(17635,plain,
% 7.45/5.60 (v117(constB135)),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17634, 17633, 17625])).
% 7.45/5.60 tff(17636,plain,
% 7.45/5.60 ((v117(constB135) | v122(constB135)) | (~v117(constB135))),
% 7.45/5.60 inference(tautology,[status(thm)],[])).
% 7.45/5.60 tff(17637,plain,
% 7.45/5.60 (v117(constB135) | v122(constB135)),
% 7.45/5.60 inference(unit_resolution,[status(thm)],[17636, 17635])).
% 7.45/5.60 tff(17638,plain,
% 7.45/5.60 ((~(v116(constB135) <=> (v117(constB135) | v122(constB135)))) | v116(constB135) | (~(v117(constB135) | v122(constB135)))),
% 7.45/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17639,plain,
% 7.49/5.60 (v116(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17638, 17637, 17623])).
% 7.49/5.60 tff(17640,plain,
% 7.49/5.60 ((v116(constB135) | v123(constB135)) | (~v116(constB135))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17641,plain,
% 7.49/5.60 (v116(constB135) | v123(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17640, 17639])).
% 7.49/5.60 tff(17642,plain,
% 7.49/5.60 ((~(v115(constB135) <=> (v116(constB135) | v123(constB135)))) | v115(constB135) | (~(v116(constB135) | v123(constB135)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17643,plain,
% 7.49/5.60 (v115(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17642, 17641, 17621])).
% 7.49/5.60 tff(17644,plain,
% 7.49/5.60 ((v115(constB135) | v124(constB135)) | (~v115(constB135))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17645,plain,
% 7.49/5.60 (v115(constB135) | v124(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17644, 17643])).
% 7.49/5.60 tff(17646,plain,
% 7.49/5.60 ((~(v114(constB135) <=> (v115(constB135) | v124(constB135)))) | v114(constB135) | (~(v115(constB135) | v124(constB135)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17647,plain,
% 7.49/5.60 (v114(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17646, 17645, 17619])).
% 7.49/5.60 tff(17648,plain,
% 7.49/5.60 ((v114(constB135) | v125(constB135)) | (~v114(constB135))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17649,plain,
% 7.49/5.60 (v114(constB135) | v125(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17648, 17647])).
% 7.49/5.60 tff(17650,plain,
% 7.49/5.60 ((~(v113(constB135) <=> (v114(constB135) | v125(constB135)))) | v113(constB135) | (~(v114(constB135) | v125(constB135)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17651,plain,
% 7.49/5.60 (v113(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17650, 17649, 17617])).
% 7.49/5.60 tff(17652,plain,
% 7.49/5.60 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB135)) <=> v111(constB135))),
% 7.49/5.60 inference(quant_inst,[status(thm)],[])).
% 7.49/5.60 tff(17653,plain,
% 7.49/5.60 ((~v126(constB135)) <=> v111(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17652, 4118])).
% 7.49/5.60 tff(17654,plain,
% 7.49/5.60 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135) | v111(constB135)),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17655,plain,
% 7.49/5.60 ((~((~v126(constB135)) <=> v111(constB135))) | v126(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17654, 14040])).
% 7.49/5.60 tff(17656,plain,
% 7.49/5.60 (v126(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17655, 17653])).
% 7.49/5.60 tff(17657,plain,
% 7.49/5.60 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135)) | (~v126(constB135))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17658,plain,
% 7.49/5.60 ((~((~v113(constB135)) | (~v126(constB135)))) | (~v113(constB135))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17657, 17656])).
% 7.49/5.60 tff(17659,plain,
% 7.49/5.60 (~((~v113(constB135)) | (~v126(constB135)))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17658, 17651])).
% 7.49/5.60 tff(17660,plain,
% 7.49/5.60 ((~(v112(constB135) <=> (~((~v113(constB135)) | (~v126(constB135)))))) | v112(constB135) | ((~v113(constB135)) | (~v126(constB135)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17661,plain,
% 7.49/5.60 (v112(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17660, 17659, 17615])).
% 7.49/5.60 tff(17662,plain,
% 7.49/5.60 ((v111(constB135) | v112(constB135)) | (~v112(constB135))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17663,plain,
% 7.49/5.60 (v111(constB135) | v112(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17662, 17661])).
% 7.49/5.60 tff(17664,plain,
% 7.49/5.60 ((~(v108(constB135) <=> (v111(constB135) | v112(constB135)))) | v108(constB135) | (~(v111(constB135) | v112(constB135)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17665,plain,
% 7.49/5.60 (v108(constB135)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17664, 17663, 17613])).
% 7.49/5.60 tff(17666,plain,
% 7.49/5.60 ((~(v110(constB136) <=> v108(constB135))) | v110(constB136) | (~v108(constB135))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17667,plain,
% 7.49/5.60 (v110(constB136)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17666, 17665, 17611])).
% 7.49/5.60 tff(17668,plain,
% 7.49/5.60 ((~((~v101(constB136)) | (~v110(constB136)))) | (~v101(constB136)) | (~v110(constB136))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17669,plain,
% 7.49/5.60 (~((~v101(constB136)) | (~v110(constB136)))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17668, 17667, 17607])).
% 7.49/5.60 tff(17670,plain,
% 7.49/5.60 ((~(v100(constB136) <=> (~((~v101(constB136)) | (~v110(constB136)))))) | v100(constB136) | ((~v101(constB136)) | (~v110(constB136)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17671,plain,
% 7.49/5.60 (v100(constB136)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17670, 17669, 17579])).
% 7.49/5.60 tff(17672,plain,
% 7.49/5.60 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.49/5.60 inference(rewrite,[status(thm)],[])).
% 7.49/5.60 tff(17673,plain,
% 7.49/5.60 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB136)) | (~(((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0)))))),
% 7.49/5.60 inference(quant_inst,[status(thm)],[])).
% 7.49/5.60 tff(17674,plain,
% 7.49/5.60 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB136)) | (~(((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))))),
% 7.49/5.60 inference(modus_ponens,[status(thm)],[17673, 17672])).
% 7.49/5.60 tff(17675,plain,
% 7.49/5.60 ((~v100(constB136)) | (~(((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17674, 4151])).
% 7.49/5.60 tff(17676,plain,
% 7.49/5.60 (~(((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0)))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17675, 17671])).
% 7.49/5.60 tff(17677,plain,
% 7.49/5.60 ((((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))) | (~((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17678,plain,
% 7.49/5.60 (~((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17677, 17676])).
% 7.49/5.60 tff(17679,plain,
% 7.49/5.60 (((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2)),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17680,plain,
% 7.49/5.60 (~v90(constB136, bitIndex2)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17679, 17678, 17575])).
% 7.49/5.60 tff(17681,plain,
% 7.49/5.60 (((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | (~v90(constB137, bitIndex2)) | v90(constB136, bitIndex2)),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17682,plain,
% 7.49/5.60 (~v90(constB137, bitIndex2)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17681, 17680, 14024])).
% 7.49/5.60 tff(17683,plain,
% 7.49/5.60 ((((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))) | (~((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17684,plain,
% 7.49/5.60 (~((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17683, 14022])).
% 7.49/5.60 tff(17685,plain,
% 7.49/5.60 ((((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0))) | (~((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17686,plain,
% 7.49/5.60 (~((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17685, 14031])).
% 7.49/5.60 tff(17687,plain,
% 7.49/5.60 ((((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1))) | (~((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17688,plain,
% 7.49/5.60 (~((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17687, 14045])).
% 7.49/5.60 tff(17689,plain,
% 7.49/5.60 ((v130(constB135, bitIndex2) | v130(constB135, bitIndex0) | (~v130(constB135, bitIndex1))) | (~v130(constB135, bitIndex0))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17690,plain,
% 7.49/5.60 (~v130(constB135, bitIndex0)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17689, 17569])).
% 7.49/5.60 tff(17691,plain,
% 7.49/5.60 (((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)) | (~v127(constB135, bitIndex0)) | v130(constB135, bitIndex0)),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17692,plain,
% 7.49/5.60 (~v127(constB135, bitIndex0)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17691, 17690, 17688])).
% 7.49/5.60 tff(17693,plain,
% 7.49/5.60 (((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0)) | (~v129(constB136, bitIndex0)) | v127(constB135, bitIndex0)),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17694,plain,
% 7.49/5.60 (~v129(constB136, bitIndex0)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17693, 17692, 17686])).
% 7.49/5.60 tff(17695,plain,
% 7.49/5.60 ((((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))) | (~((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17696,plain,
% 7.49/5.60 (~((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17695, 17676])).
% 7.49/5.60 tff(17697,plain,
% 7.49/5.60 (((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0)) | (~v90(constB136, bitIndex0)) | v129(constB136, bitIndex0)),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17698,plain,
% 7.49/5.60 (~v90(constB136, bitIndex0)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17697, 17696, 17694])).
% 7.49/5.60 tff(17699,plain,
% 7.49/5.60 (((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0)) | (~v90(constB137, bitIndex0)) | v90(constB136, bitIndex0)),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17700,plain,
% 7.49/5.60 (~v90(constB137, bitIndex0)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17699, 17698, 17684])).
% 7.49/5.60 tff(17701,plain,
% 7.49/5.60 ((((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | ((~v90(constB137, bitIndex2)) <=> v90(constB136, bitIndex2)) | ((~v90(constB137, bitIndex0)) <=> v90(constB136, bitIndex0))) | (~((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17702,plain,
% 7.49/5.60 (~((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17701, 14022])).
% 7.49/5.60 tff(17703,plain,
% 7.49/5.60 ((((~v129(constB136, bitIndex2)) <=> v127(constB135, bitIndex2)) | ((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | ((~v129(constB136, bitIndex0)) <=> v127(constB135, bitIndex0))) | (~((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17704,plain,
% 7.49/5.60 (~((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17703, 14031])).
% 7.49/5.60 tff(17705,plain,
% 7.49/5.60 ((((~v127(constB135, bitIndex2)) <=> v130(constB135, bitIndex2)) | ((~v127(constB135, bitIndex0)) <=> v130(constB135, bitIndex0)) | ((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1))) | (~((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17706,plain,
% 7.49/5.60 (~((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17705, 14045])).
% 7.49/5.60 tff(17707,plain,
% 7.49/5.60 ((v130(constB135, bitIndex2) | v130(constB135, bitIndex0) | (~v130(constB135, bitIndex1))) | v130(constB135, bitIndex1)),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17708,plain,
% 7.49/5.60 (v130(constB135, bitIndex1)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17707, 17569])).
% 7.49/5.60 tff(17709,plain,
% 7.49/5.60 (((~v127(constB135, bitIndex1)) <=> v130(constB135, bitIndex1)) | v127(constB135, bitIndex1) | (~v130(constB135, bitIndex1))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17710,plain,
% 7.49/5.60 (v127(constB135, bitIndex1)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17709, 17708, 17706])).
% 7.49/5.60 tff(17711,plain,
% 7.49/5.60 (((~v129(constB136, bitIndex1)) <=> v127(constB135, bitIndex1)) | v129(constB136, bitIndex1) | (~v127(constB135, bitIndex1))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17712,plain,
% 7.49/5.60 (v129(constB136, bitIndex1)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17711, 17710, 17704])).
% 7.49/5.60 tff(17713,plain,
% 7.49/5.60 ((((~v90(constB136, bitIndex2)) <=> v129(constB136, bitIndex2)) | ((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | ((~v90(constB136, bitIndex0)) <=> v129(constB136, bitIndex0))) | (~((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17714,plain,
% 7.49/5.60 (~((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17713, 17676])).
% 7.49/5.60 tff(17715,plain,
% 7.49/5.60 (((~v90(constB136, bitIndex1)) <=> v129(constB136, bitIndex1)) | v90(constB136, bitIndex1) | (~v129(constB136, bitIndex1))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17716,plain,
% 7.49/5.60 (v90(constB136, bitIndex1)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17715, 17714, 17712])).
% 7.49/5.60 tff(17717,plain,
% 7.49/5.60 (((~v90(constB137, bitIndex1)) <=> v90(constB136, bitIndex1)) | v90(constB137, bitIndex1) | (~v90(constB136, bitIndex1))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17718,plain,
% 7.49/5.60 (v90(constB137, bitIndex1)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17717, 17716, 17702])).
% 7.49/5.60 tff(17719,plain,
% 7.49/5.60 ((~(v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)))) | v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17720,plain,
% 7.49/5.60 (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17719, 17718, 17700, 17682])).
% 7.49/5.60 tff(17721,plain,
% 7.49/5.60 ((~(v121(constB137) <=> (~(v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)))))) | v121(constB137) | (v90(constB137, bitIndex2) | v90(constB137, bitIndex0) | (~v90(constB137, bitIndex1)))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17722,plain,
% 7.49/5.60 (v121(constB137)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17721, 17720, 13988])).
% 7.49/5.60 tff(17723,plain,
% 7.49/5.60 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB137)) | (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex0)) | (~v130(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB137)) | (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex0)) | (~v130(constB137, bitIndex1)))))),
% 7.49/5.60 inference(rewrite,[status(thm)],[])).
% 7.49/5.60 tff(17724,plain,
% 7.49/5.60 (((~v121(constB137)) | (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex1)) | (~v130(constB137, bitIndex0))))) <=> ((~v121(constB137)) | (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex0)) | (~v130(constB137, bitIndex1)))))),
% 7.49/5.60 inference(rewrite,[status(thm)],[])).
% 7.49/5.60 tff(17725,plain,
% 7.49/5.60 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB137)) | (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex1)) | (~v130(constB137, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB137)) | (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex0)) | (~v130(constB137, bitIndex1))))))),
% 7.49/5.60 inference(monotonicity,[status(thm)],[17724])).
% 7.49/5.60 tff(17726,plain,
% 7.49/5.60 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB137)) | (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex1)) | (~v130(constB137, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB137)) | (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex0)) | (~v130(constB137, bitIndex1)))))),
% 7.49/5.60 inference(transitivity,[status(thm)],[17725, 17723])).
% 7.49/5.60 tff(17727,plain,
% 7.49/5.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB137)) | (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex1)) | (~v130(constB137, bitIndex0)))))),
% 7.49/5.60 inference(quant_inst,[status(thm)],[])).
% 7.49/5.60 tff(17728,plain,
% 7.49/5.60 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB137)) | (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex0)) | (~v130(constB137, bitIndex1))))),
% 7.49/5.60 inference(modus_ponens,[status(thm)],[17727, 17726])).
% 7.49/5.60 tff(17729,plain,
% 7.49/5.60 ((~v121(constB137)) | (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex0)) | (~v130(constB137, bitIndex1))))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17728, 4392])).
% 7.49/5.60 tff(17730,plain,
% 7.49/5.60 (~(v130(constB137, bitIndex2) | (~v130(constB137, bitIndex0)) | (~v130(constB137, bitIndex1)))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17729, 17722])).
% 7.49/5.60 tff(17731,plain,
% 7.49/5.60 ((v130(constB137, bitIndex2) | (~v130(constB137, bitIndex0)) | (~v130(constB137, bitIndex1))) | (~v130(constB137, bitIndex2))),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17732,plain,
% 7.49/5.60 (~v130(constB137, bitIndex2)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17731, 17730])).
% 7.49/5.60 tff(17733,plain,
% 7.49/5.60 (((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | (~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17734,plain,
% 7.49/5.60 (~v127(constB137, bitIndex2)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17733, 17732, 13981])).
% 7.49/5.60 tff(17735,plain,
% 7.49/5.60 (((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | (~v129(constB138, bitIndex2)) | v127(constB137, bitIndex2)),
% 7.49/5.60 inference(tautology,[status(thm)],[])).
% 7.49/5.60 tff(17736,plain,
% 7.49/5.60 (~v129(constB138, bitIndex2)),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17735, 17734, 13967])).
% 7.49/5.60 tff(17737,plain,
% 7.49/5.60 (((~![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))))))),
% 7.49/5.60 inference(rewrite,[status(thm)],[])).
% 7.49/5.60 tff(17738,plain,
% 7.49/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))))),
% 7.49/5.60 inference(quant_inst,[status(thm)],[])).
% 7.49/5.60 tff(17739,plain,
% 7.49/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB137, constB138)) | (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))),
% 7.49/5.60 inference(modus_ponens,[status(thm)],[17738, 17737])).
% 7.49/5.60 tff(17740,plain,
% 7.49/5.60 (v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138))))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17739, 13961, 433])).
% 7.49/5.60 tff(17741,plain,
% 7.49/5.60 (((~![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))))))),
% 7.49/5.60 inference(rewrite,[status(thm)],[])).
% 7.49/5.60 tff(17742,plain,
% 7.49/5.60 (((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138)))))) <=> ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))))),
% 7.49/5.60 inference(rewrite,[status(thm)],[])).
% 7.49/5.60 tff(17743,plain,
% 7.49/5.60 (((~![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)))))))),
% 7.49/5.60 inference(monotonicity,[status(thm)],[17742])).
% 7.49/5.60 tff(17744,plain,
% 7.49/5.60 (((~![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))))))),
% 7.49/5.60 inference(transitivity,[status(thm)],[17743, 17741])).
% 7.49/5.60 tff(17745,plain,
% 7.49/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v102(constB138)) | (~v1(constB138))))))),
% 7.49/5.60 inference(quant_inst,[status(thm)],[])).
% 7.49/5.60 tff(17746,plain,
% 7.49/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))),
% 7.49/5.60 inference(modus_ponens,[status(thm)],[17745, 17744])).
% 7.49/5.60 tff(17747,plain,
% 7.49/5.60 (v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138))))),
% 7.49/5.60 inference(unit_resolution,[status(thm)],[17746, 13961, 453])).
% 7.49/5.60 tff(17748,plain,
% 7.49/5.60 (((~![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)))),
% 7.49/5.60 inference(rewrite,[status(thm)],[])).
% 7.49/5.60 tff(17749,plain,
% 7.49/5.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138)))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17750,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB137, constB138)) | ((~v102(constB138)) <=> v104(constB138))),
% 7.49/5.61 inference(modus_ponens,[status(thm)],[17749, 17748])).
% 7.49/5.61 tff(17751,plain,
% 7.49/5.61 ((~v102(constB138)) <=> v104(constB138)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17750, 13961, 3966])).
% 7.49/5.61 tff(17752,plain,
% 7.49/5.61 (((~![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)))),
% 7.49/5.61 inference(rewrite,[status(thm)],[])).
% 7.49/5.61 tff(17753,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137)))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17754,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v1(constB137))),
% 7.49/5.61 inference(modus_ponens,[status(thm)],[17753, 17752])).
% 7.49/5.61 tff(17755,plain,
% 7.49/5.61 (v104(constB138) <=> v1(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17754, 13961, 3980])).
% 7.49/5.61 tff(17756,plain,
% 7.49/5.61 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138)) | v1(constB137)),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17757,plain,
% 7.49/5.61 ((~(v104(constB138) <=> v1(constB137))) | (~v104(constB138))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17756, 14005])).
% 7.49/5.61 tff(17758,plain,
% 7.49/5.61 (~v104(constB138)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17757, 17755])).
% 7.49/5.61 tff(17759,plain,
% 7.49/5.61 ((~((~v102(constB138)) <=> v104(constB138))) | v102(constB138) | v104(constB138)),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17760,plain,
% 7.49/5.61 (v102(constB138)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17759, 17758, 17751])).
% 7.49/5.61 tff(17761,plain,
% 7.49/5.61 (v1(constB138) <=> v1(constB138)),
% 7.49/5.61 inference(rewrite,[status(thm)],[])).
% 7.49/5.61 tff(17762,axiom,(v1(constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_138')).
% 7.49/5.61 tff(17763,plain,
% 7.49/5.61 (v1(constB138)),
% 7.49/5.61 inference(modus_ponens,[status(thm)],[17762, 17761])).
% 7.49/5.61 tff(17764,plain,
% 7.49/5.61 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v1(constB138)) | (~v102(constB138))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17765,plain,
% 7.49/5.61 ((~((~v1(constB138)) | (~v102(constB138)))) | (~v102(constB138))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17764, 17763])).
% 7.49/5.61 tff(17766,plain,
% 7.49/5.61 (~((~v1(constB138)) | (~v102(constB138)))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17765, 17760])).
% 7.49/5.61 tff(17767,plain,
% 7.49/5.61 ((~(v101(constB138) <=> (~((~v1(constB138)) | (~v102(constB138)))))) | v101(constB138) | ((~v1(constB138)) | (~v102(constB138)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17768,plain,
% 7.49/5.61 (v101(constB138)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17767, 17766, 17747])).
% 7.49/5.61 tff(17769,plain,
% 7.49/5.61 (((~![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)))),
% 7.49/5.61 inference(rewrite,[status(thm)],[])).
% 7.49/5.61 tff(17770,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137)))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17771,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB137, constB138)) | (v110(constB138) <=> v108(constB137))),
% 7.49/5.61 inference(modus_ponens,[status(thm)],[17770, 17769])).
% 7.49/5.61 tff(17772,plain,
% 7.49/5.61 (v110(constB138) <=> v108(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17771, 13961, 4007])).
% 7.49/5.61 tff(17773,plain,
% 7.49/5.61 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB137) <=> (v111(constB137) | v112(constB137)))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17774,plain,
% 7.49/5.61 (v108(constB137) <=> (v111(constB137) | v112(constB137))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17773, 4018])).
% 7.49/5.61 tff(17775,plain,
% 7.49/5.61 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17776,plain,
% 7.49/5.61 (v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137))))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17775, 4030])).
% 7.49/5.61 tff(17777,plain,
% 7.49/5.61 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB137) <=> (v114(constB137) | v125(constB137)))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17778,plain,
% 7.49/5.61 (v113(constB137) <=> (v114(constB137) | v125(constB137))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17777, 4039])).
% 7.49/5.61 tff(17779,plain,
% 7.49/5.61 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB137) <=> (v115(constB137) | v124(constB137)))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17780,plain,
% 7.49/5.61 (v114(constB137) <=> (v115(constB137) | v124(constB137))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17779, 4048])).
% 7.49/5.61 tff(17781,plain,
% 7.49/5.61 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB137) <=> (v116(constB137) | v123(constB137)))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17782,plain,
% 7.49/5.61 (v115(constB137) <=> (v116(constB137) | v123(constB137))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17781, 4057])).
% 7.49/5.61 tff(17783,plain,
% 7.49/5.61 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB137) <=> (v117(constB137) | v122(constB137)))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17784,plain,
% 7.49/5.61 (v116(constB137) <=> (v117(constB137) | v122(constB137))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17783, 4066])).
% 7.49/5.61 tff(17785,plain,
% 7.49/5.61 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB137) <=> (v118(constB137) | v121(constB137)))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17786,plain,
% 7.49/5.61 (v117(constB137) <=> (v118(constB137) | v121(constB137))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17785, 4075])).
% 7.49/5.61 tff(17787,plain,
% 7.49/5.61 ((v118(constB137) | v121(constB137)) | (~v121(constB137))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17788,plain,
% 7.49/5.61 (v118(constB137) | v121(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17787, 17722])).
% 7.49/5.61 tff(17789,plain,
% 7.49/5.61 ((~(v117(constB137) <=> (v118(constB137) | v121(constB137)))) | v117(constB137) | (~(v118(constB137) | v121(constB137)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17790,plain,
% 7.49/5.61 (v117(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17789, 17788, 17786])).
% 7.49/5.61 tff(17791,plain,
% 7.49/5.61 ((v117(constB137) | v122(constB137)) | (~v117(constB137))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17792,plain,
% 7.49/5.61 (v117(constB137) | v122(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17791, 17790])).
% 7.49/5.61 tff(17793,plain,
% 7.49/5.61 ((~(v116(constB137) <=> (v117(constB137) | v122(constB137)))) | v116(constB137) | (~(v117(constB137) | v122(constB137)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17794,plain,
% 7.49/5.61 (v116(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17793, 17792, 17784])).
% 7.49/5.61 tff(17795,plain,
% 7.49/5.61 ((v116(constB137) | v123(constB137)) | (~v116(constB137))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17796,plain,
% 7.49/5.61 (v116(constB137) | v123(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17795, 17794])).
% 7.49/5.61 tff(17797,plain,
% 7.49/5.61 ((~(v115(constB137) <=> (v116(constB137) | v123(constB137)))) | v115(constB137) | (~(v116(constB137) | v123(constB137)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17798,plain,
% 7.49/5.61 (v115(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17797, 17796, 17782])).
% 7.49/5.61 tff(17799,plain,
% 7.49/5.61 ((v115(constB137) | v124(constB137)) | (~v115(constB137))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17800,plain,
% 7.49/5.61 (v115(constB137) | v124(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17799, 17798])).
% 7.49/5.61 tff(17801,plain,
% 7.49/5.61 ((~(v114(constB137) <=> (v115(constB137) | v124(constB137)))) | v114(constB137) | (~(v115(constB137) | v124(constB137)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17802,plain,
% 7.49/5.61 (v114(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17801, 17800, 17780])).
% 7.49/5.61 tff(17803,plain,
% 7.49/5.61 ((v114(constB137) | v125(constB137)) | (~v114(constB137))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17804,plain,
% 7.49/5.61 (v114(constB137) | v125(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17803, 17802])).
% 7.49/5.61 tff(17805,plain,
% 7.49/5.61 ((~(v113(constB137) <=> (v114(constB137) | v125(constB137)))) | v113(constB137) | (~(v114(constB137) | v125(constB137)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17806,plain,
% 7.49/5.61 (v113(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17805, 17804, 17778])).
% 7.49/5.61 tff(17807,plain,
% 7.49/5.61 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB137)) <=> v111(constB137))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17808,plain,
% 7.49/5.61 ((~v126(constB137)) <=> v111(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17807, 4118])).
% 7.49/5.61 tff(17809,plain,
% 7.49/5.61 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137) | v111(constB137)),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17810,plain,
% 7.49/5.61 ((~((~v126(constB137)) <=> v111(constB137))) | v126(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17809, 13974])).
% 7.49/5.61 tff(17811,plain,
% 7.49/5.61 (v126(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17810, 17808])).
% 7.49/5.61 tff(17812,plain,
% 7.49/5.61 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137)) | (~v126(constB137))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17813,plain,
% 7.49/5.61 ((~((~v113(constB137)) | (~v126(constB137)))) | (~v113(constB137))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17812, 17811])).
% 7.49/5.61 tff(17814,plain,
% 7.49/5.61 (~((~v113(constB137)) | (~v126(constB137)))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17813, 17806])).
% 7.49/5.61 tff(17815,plain,
% 7.49/5.61 ((~(v112(constB137) <=> (~((~v113(constB137)) | (~v126(constB137)))))) | v112(constB137) | ((~v113(constB137)) | (~v126(constB137)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17816,plain,
% 7.49/5.61 (v112(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17815, 17814, 17776])).
% 7.49/5.61 tff(17817,plain,
% 7.49/5.61 ((v111(constB137) | v112(constB137)) | (~v112(constB137))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17818,plain,
% 7.49/5.61 (v111(constB137) | v112(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17817, 17816])).
% 7.49/5.61 tff(17819,plain,
% 7.49/5.61 ((~(v108(constB137) <=> (v111(constB137) | v112(constB137)))) | v108(constB137) | (~(v111(constB137) | v112(constB137)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17820,plain,
% 7.49/5.61 (v108(constB137)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17819, 17818, 17774])).
% 7.49/5.61 tff(17821,plain,
% 7.49/5.61 ((~(v110(constB138) <=> v108(constB137))) | v110(constB138) | (~v108(constB137))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17822,plain,
% 7.49/5.61 (v110(constB138)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17821, 17820, 17772])).
% 7.49/5.61 tff(17823,plain,
% 7.49/5.61 ((~((~v101(constB138)) | (~v110(constB138)))) | (~v101(constB138)) | (~v110(constB138))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17824,plain,
% 7.49/5.61 (~((~v101(constB138)) | (~v110(constB138)))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17823, 17822, 17768])).
% 7.49/5.61 tff(17825,plain,
% 7.49/5.61 ((~(v100(constB138) <=> (~((~v101(constB138)) | (~v110(constB138)))))) | v100(constB138) | ((~v101(constB138)) | (~v110(constB138)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17826,plain,
% 7.49/5.61 (v100(constB138)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17825, 17824, 17740])).
% 7.49/5.61 tff(17827,plain,
% 7.49/5.61 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.49/5.61 inference(rewrite,[status(thm)],[])).
% 7.49/5.61 tff(17828,plain,
% 7.49/5.61 (((~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)))))),
% 7.49/5.61 inference(rewrite,[status(thm)],[])).
% 7.49/5.61 tff(17829,plain,
% 7.49/5.61 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 7.49/5.61 inference(monotonicity,[status(thm)],[17828])).
% 7.49/5.61 tff(17830,plain,
% 7.49/5.61 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.49/5.61 inference(transitivity,[status(thm)],[17829, 17827])).
% 7.49/5.61 tff(17831,plain,
% 7.49/5.61 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB138)) | (~(((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)) | ((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)))))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17832,plain,
% 7.49/5.61 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB138)) | (~(((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))))),
% 7.49/5.61 inference(modus_ponens,[status(thm)],[17831, 17830])).
% 7.49/5.61 tff(17833,plain,
% 7.49/5.61 ((~v100(constB138)) | (~(((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17832, 4151])).
% 7.49/5.61 tff(17834,plain,
% 7.49/5.61 (~(((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17833, 17826])).
% 7.49/5.61 tff(17835,plain,
% 7.49/5.61 ((((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))) | (~((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17836,plain,
% 7.49/5.61 (~((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17835, 17834])).
% 7.49/5.61 tff(17837,plain,
% 7.49/5.61 (((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2)),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17838,plain,
% 7.49/5.61 (~v90(constB138, bitIndex2)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17837, 17836, 17736])).
% 7.49/5.61 tff(17839,plain,
% 7.49/5.61 (((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | (~v90(constB139, bitIndex2)) | v90(constB138, bitIndex2)),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17840,plain,
% 7.49/5.61 (~v90(constB139, bitIndex2)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17839, 17838, 13958])).
% 7.49/5.61 tff(17841,plain,
% 7.49/5.61 ((((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))) | (~((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17842,plain,
% 7.49/5.61 (~((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17841, 13956])).
% 7.49/5.61 tff(17843,plain,
% 7.49/5.61 ((((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0))) | (~((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17844,plain,
% 7.49/5.61 (~((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17843, 13965])).
% 7.49/5.61 tff(17845,plain,
% 7.49/5.61 ((((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1))) | (~((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17846,plain,
% 7.49/5.61 (~((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17845, 13979])).
% 7.49/5.61 tff(17847,plain,
% 7.49/5.61 ((v130(constB137, bitIndex2) | (~v130(constB137, bitIndex0)) | (~v130(constB137, bitIndex1))) | v130(constB137, bitIndex0)),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17848,plain,
% 7.49/5.61 (v130(constB137, bitIndex0)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17847, 17730])).
% 7.49/5.61 tff(17849,plain,
% 7.49/5.61 (((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)) | v127(constB137, bitIndex0) | (~v130(constB137, bitIndex0))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17850,plain,
% 7.49/5.61 (v127(constB137, bitIndex0)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17849, 17848, 17846])).
% 7.49/5.61 tff(17851,plain,
% 7.49/5.61 (((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0)) | v129(constB138, bitIndex0) | (~v127(constB137, bitIndex0))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17852,plain,
% 7.49/5.61 (v129(constB138, bitIndex0)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17851, 17850, 17844])).
% 7.49/5.61 tff(17853,plain,
% 7.49/5.61 ((((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))) | (~((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17854,plain,
% 7.49/5.61 (~((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17853, 17834])).
% 7.49/5.61 tff(17855,plain,
% 7.49/5.61 (((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | v90(constB138, bitIndex0) | (~v129(constB138, bitIndex0))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17856,plain,
% 7.49/5.61 (v90(constB138, bitIndex0)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17855, 17854, 17852])).
% 7.49/5.61 tff(17857,plain,
% 7.49/5.61 (((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0)) | v90(constB139, bitIndex0) | (~v90(constB138, bitIndex0))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17858,plain,
% 7.49/5.61 (v90(constB139, bitIndex0)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17857, 17856, 17842])).
% 7.49/5.61 tff(17859,plain,
% 7.49/5.61 ((((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | ((~v90(constB139, bitIndex2)) <=> v90(constB138, bitIndex2)) | ((~v90(constB139, bitIndex0)) <=> v90(constB138, bitIndex0))) | (~((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17860,plain,
% 7.49/5.61 (~((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17859, 13956])).
% 7.49/5.61 tff(17861,plain,
% 7.49/5.61 ((((~v129(constB138, bitIndex2)) <=> v127(constB137, bitIndex2)) | ((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | ((~v129(constB138, bitIndex0)) <=> v127(constB137, bitIndex0))) | (~((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17862,plain,
% 7.49/5.61 (~((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17861, 13965])).
% 7.49/5.61 tff(17863,plain,
% 7.49/5.61 ((((~v127(constB137, bitIndex2)) <=> v130(constB137, bitIndex2)) | ((~v127(constB137, bitIndex0)) <=> v130(constB137, bitIndex0)) | ((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1))) | (~((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17864,plain,
% 7.49/5.61 (~((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17863, 13979])).
% 7.49/5.61 tff(17865,plain,
% 7.49/5.61 ((v130(constB137, bitIndex2) | (~v130(constB137, bitIndex0)) | (~v130(constB137, bitIndex1))) | v130(constB137, bitIndex1)),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17866,plain,
% 7.49/5.61 (v130(constB137, bitIndex1)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17865, 17730])).
% 7.49/5.61 tff(17867,plain,
% 7.49/5.61 (((~v127(constB137, bitIndex1)) <=> v130(constB137, bitIndex1)) | v127(constB137, bitIndex1) | (~v130(constB137, bitIndex1))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17868,plain,
% 7.49/5.61 (v127(constB137, bitIndex1)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17867, 17866, 17864])).
% 7.49/5.61 tff(17869,plain,
% 7.49/5.61 (((~v129(constB138, bitIndex1)) <=> v127(constB137, bitIndex1)) | v129(constB138, bitIndex1) | (~v127(constB137, bitIndex1))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17870,plain,
% 7.49/5.61 (v129(constB138, bitIndex1)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17869, 17868, 17862])).
% 7.49/5.61 tff(17871,plain,
% 7.49/5.61 ((((~v90(constB138, bitIndex0)) <=> v129(constB138, bitIndex0)) | ((~v90(constB138, bitIndex2)) <=> v129(constB138, bitIndex2)) | ((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))) | (~((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17872,plain,
% 7.49/5.61 (~((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17871, 17834])).
% 7.49/5.61 tff(17873,plain,
% 7.49/5.61 (((~v90(constB138, bitIndex1)) <=> v129(constB138, bitIndex1)) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17874,plain,
% 7.49/5.61 (v90(constB138, bitIndex1)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17873, 17872, 17870])).
% 7.49/5.61 tff(17875,plain,
% 7.49/5.61 (((~v90(constB139, bitIndex1)) <=> v90(constB138, bitIndex1)) | v90(constB139, bitIndex1) | (~v90(constB138, bitIndex1))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17876,plain,
% 7.49/5.61 (v90(constB139, bitIndex1)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17875, 17874, 17860])).
% 7.49/5.61 tff(17877,plain,
% 7.49/5.61 ((~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))) | v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17878,plain,
% 7.49/5.61 (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17877, 17876, 17858, 17840])).
% 7.49/5.61 tff(17879,plain,
% 7.49/5.61 ((~(v122(constB139) <=> (~(v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))))) | v122(constB139) | (v90(constB139, bitIndex2) | (~v90(constB139, bitIndex1)) | (~v90(constB139, bitIndex0)))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17880,plain,
% 7.49/5.61 (v122(constB139)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17879, 17878, 13922])).
% 7.49/5.61 tff(17881,plain,
% 7.49/5.61 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB139)) | (~(v130(constB139, bitIndex0) | v130(constB139, bitIndex1) | (~v130(constB139, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB139)) | (~(v130(constB139, bitIndex0) | v130(constB139, bitIndex1) | (~v130(constB139, bitIndex2)))))),
% 7.49/5.61 inference(rewrite,[status(thm)],[])).
% 7.49/5.61 tff(17882,plain,
% 7.49/5.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB139)) | (~(v130(constB139, bitIndex0) | v130(constB139, bitIndex1) | (~v130(constB139, bitIndex2)))))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17883,plain,
% 7.49/5.61 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB139)) | (~(v130(constB139, bitIndex0) | v130(constB139, bitIndex1) | (~v130(constB139, bitIndex2))))),
% 7.49/5.61 inference(modus_ponens,[status(thm)],[17882, 17881])).
% 7.49/5.61 tff(17884,plain,
% 7.49/5.61 ((~v122(constB139)) | (~(v130(constB139, bitIndex0) | v130(constB139, bitIndex1) | (~v130(constB139, bitIndex2))))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17883, 4563])).
% 7.49/5.61 tff(17885,plain,
% 7.49/5.61 (~(v130(constB139, bitIndex0) | v130(constB139, bitIndex1) | (~v130(constB139, bitIndex2)))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17884, 17880])).
% 7.49/5.61 tff(17886,plain,
% 7.49/5.61 ((v130(constB139, bitIndex0) | v130(constB139, bitIndex1) | (~v130(constB139, bitIndex2))) | v130(constB139, bitIndex2)),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17887,plain,
% 7.49/5.61 (v130(constB139, bitIndex2)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17886, 17885])).
% 7.49/5.61 tff(17888,plain,
% 7.49/5.61 (((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | v127(constB139, bitIndex2) | (~v130(constB139, bitIndex2))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17889,plain,
% 7.49/5.61 (v127(constB139, bitIndex2)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17888, 17887, 13915])).
% 7.49/5.61 tff(17890,plain,
% 7.49/5.61 (((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | v129(constB140, bitIndex2) | (~v127(constB139, bitIndex2))),
% 7.49/5.61 inference(tautology,[status(thm)],[])).
% 7.49/5.61 tff(17891,plain,
% 7.49/5.61 (v129(constB140, bitIndex2)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17890, 17889, 13901])).
% 7.49/5.61 tff(17892,plain,
% 7.49/5.61 (((~![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))))))),
% 7.49/5.61 inference(rewrite,[status(thm)],[])).
% 7.49/5.61 tff(17893,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17894,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB139, constB140)) | (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))),
% 7.49/5.61 inference(modus_ponens,[status(thm)],[17893, 17892])).
% 7.49/5.61 tff(17895,plain,
% 7.49/5.61 (v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140))))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17894, 13895, 433])).
% 7.49/5.61 tff(17896,plain,
% 7.49/5.61 (((~![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))))))),
% 7.49/5.61 inference(rewrite,[status(thm)],[])).
% 7.49/5.61 tff(17897,plain,
% 7.49/5.61 (((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140)))))) <=> ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))))),
% 7.49/5.61 inference(rewrite,[status(thm)],[])).
% 7.49/5.61 tff(17898,plain,
% 7.49/5.61 (((~![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)))))))),
% 7.49/5.61 inference(monotonicity,[status(thm)],[17897])).
% 7.49/5.61 tff(17899,plain,
% 7.49/5.61 (((~![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))))))),
% 7.49/5.61 inference(transitivity,[status(thm)],[17898, 17896])).
% 7.49/5.61 tff(17900,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v102(constB140)) | (~v1(constB140))))))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17901,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))),
% 7.49/5.61 inference(modus_ponens,[status(thm)],[17900, 17899])).
% 7.49/5.61 tff(17902,plain,
% 7.49/5.61 (v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140))))),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17901, 13895, 453])).
% 7.49/5.61 tff(17903,plain,
% 7.49/5.61 (((~![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)))),
% 7.49/5.61 inference(rewrite,[status(thm)],[])).
% 7.49/5.61 tff(17904,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140)))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17905,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB139, constB140)) | ((~v102(constB140)) <=> v104(constB140))),
% 7.49/5.61 inference(modus_ponens,[status(thm)],[17904, 17903])).
% 7.49/5.61 tff(17906,plain,
% 7.49/5.61 ((~v102(constB140)) <=> v104(constB140)),
% 7.49/5.61 inference(unit_resolution,[status(thm)],[17905, 13895, 3966])).
% 7.49/5.61 tff(17907,plain,
% 7.49/5.61 (((~![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)))),
% 7.49/5.61 inference(rewrite,[status(thm)],[])).
% 7.49/5.61 tff(17908,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139)))),
% 7.49/5.61 inference(quant_inst,[status(thm)],[])).
% 7.49/5.61 tff(17909,plain,
% 7.49/5.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v1(constB139))),
% 7.49/5.61 inference(modus_ponens,[status(thm)],[17908, 17907])).
% 7.49/5.61 tff(17910,plain,
% 7.49/5.61 (v104(constB140) <=> v1(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17909, 13895, 3980])).
% 7.49/5.62 tff(17911,plain,
% 7.49/5.62 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140)) | v1(constB139)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17912,plain,
% 7.49/5.62 ((~(v104(constB140) <=> v1(constB139))) | (~v104(constB140))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17911, 13939])).
% 7.49/5.62 tff(17913,plain,
% 7.49/5.62 (~v104(constB140)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17912, 17910])).
% 7.49/5.62 tff(17914,plain,
% 7.49/5.62 ((~((~v102(constB140)) <=> v104(constB140))) | v102(constB140) | v104(constB140)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17915,plain,
% 7.49/5.62 (v102(constB140)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17914, 17913, 17906])).
% 7.49/5.62 tff(17916,plain,
% 7.49/5.62 (v1(constB140) <=> v1(constB140)),
% 7.49/5.62 inference(rewrite,[status(thm)],[])).
% 7.49/5.62 tff(17917,axiom,(v1(constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_140')).
% 7.49/5.62 tff(17918,plain,
% 7.49/5.62 (v1(constB140)),
% 7.49/5.62 inference(modus_ponens,[status(thm)],[17917, 17916])).
% 7.49/5.62 tff(17919,plain,
% 7.49/5.62 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v1(constB140)) | (~v102(constB140))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17920,plain,
% 7.49/5.62 ((~((~v1(constB140)) | (~v102(constB140)))) | (~v102(constB140))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17919, 17918])).
% 7.49/5.62 tff(17921,plain,
% 7.49/5.62 (~((~v1(constB140)) | (~v102(constB140)))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17920, 17915])).
% 7.49/5.62 tff(17922,plain,
% 7.49/5.62 ((~(v101(constB140) <=> (~((~v1(constB140)) | (~v102(constB140)))))) | v101(constB140) | ((~v1(constB140)) | (~v102(constB140)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17923,plain,
% 7.49/5.62 (v101(constB140)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17922, 17921, 17902])).
% 7.49/5.62 tff(17924,plain,
% 7.49/5.62 (((~![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)))),
% 7.49/5.62 inference(rewrite,[status(thm)],[])).
% 7.49/5.62 tff(17925,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(17926,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB139, constB140)) | (v110(constB140) <=> v108(constB139))),
% 7.49/5.62 inference(modus_ponens,[status(thm)],[17925, 17924])).
% 7.49/5.62 tff(17927,plain,
% 7.49/5.62 (v110(constB140) <=> v108(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17926, 13895, 4007])).
% 7.49/5.62 tff(17928,plain,
% 7.49/5.62 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB139) <=> (v111(constB139) | v112(constB139)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(17929,plain,
% 7.49/5.62 (v108(constB139) <=> (v111(constB139) | v112(constB139))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17928, 4018])).
% 7.49/5.62 tff(17930,plain,
% 7.49/5.62 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(17931,plain,
% 7.49/5.62 (v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139))))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17930, 4030])).
% 7.49/5.62 tff(17932,plain,
% 7.49/5.62 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB139) <=> (v114(constB139) | v125(constB139)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(17933,plain,
% 7.49/5.62 (v113(constB139) <=> (v114(constB139) | v125(constB139))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17932, 4039])).
% 7.49/5.62 tff(17934,plain,
% 7.49/5.62 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB139) <=> (v115(constB139) | v124(constB139)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(17935,plain,
% 7.49/5.62 (v114(constB139) <=> (v115(constB139) | v124(constB139))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17934, 4048])).
% 7.49/5.62 tff(17936,plain,
% 7.49/5.62 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB139) <=> (v116(constB139) | v123(constB139)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(17937,plain,
% 7.49/5.62 (v115(constB139) <=> (v116(constB139) | v123(constB139))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17936, 4057])).
% 7.49/5.62 tff(17938,plain,
% 7.49/5.62 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB139) <=> (v117(constB139) | v122(constB139)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(17939,plain,
% 7.49/5.62 (v116(constB139) <=> (v117(constB139) | v122(constB139))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17938, 4066])).
% 7.49/5.62 tff(17940,plain,
% 7.49/5.62 ((v117(constB139) | v122(constB139)) | (~v122(constB139))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17941,plain,
% 7.49/5.62 (v117(constB139) | v122(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17940, 17880])).
% 7.49/5.62 tff(17942,plain,
% 7.49/5.62 ((~(v116(constB139) <=> (v117(constB139) | v122(constB139)))) | v116(constB139) | (~(v117(constB139) | v122(constB139)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17943,plain,
% 7.49/5.62 (v116(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17942, 17941, 17939])).
% 7.49/5.62 tff(17944,plain,
% 7.49/5.62 ((v116(constB139) | v123(constB139)) | (~v116(constB139))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17945,plain,
% 7.49/5.62 (v116(constB139) | v123(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17944, 17943])).
% 7.49/5.62 tff(17946,plain,
% 7.49/5.62 ((~(v115(constB139) <=> (v116(constB139) | v123(constB139)))) | v115(constB139) | (~(v116(constB139) | v123(constB139)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17947,plain,
% 7.49/5.62 (v115(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17946, 17945, 17937])).
% 7.49/5.62 tff(17948,plain,
% 7.49/5.62 ((v115(constB139) | v124(constB139)) | (~v115(constB139))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17949,plain,
% 7.49/5.62 (v115(constB139) | v124(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17948, 17947])).
% 7.49/5.62 tff(17950,plain,
% 7.49/5.62 ((~(v114(constB139) <=> (v115(constB139) | v124(constB139)))) | v114(constB139) | (~(v115(constB139) | v124(constB139)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17951,plain,
% 7.49/5.62 (v114(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17950, 17949, 17935])).
% 7.49/5.62 tff(17952,plain,
% 7.49/5.62 ((v114(constB139) | v125(constB139)) | (~v114(constB139))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17953,plain,
% 7.49/5.62 (v114(constB139) | v125(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17952, 17951])).
% 7.49/5.62 tff(17954,plain,
% 7.49/5.62 ((~(v113(constB139) <=> (v114(constB139) | v125(constB139)))) | v113(constB139) | (~(v114(constB139) | v125(constB139)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17955,plain,
% 7.49/5.62 (v113(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17954, 17953, 17933])).
% 7.49/5.62 tff(17956,plain,
% 7.49/5.62 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB139)) <=> v111(constB139))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(17957,plain,
% 7.49/5.62 ((~v126(constB139)) <=> v111(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17956, 4118])).
% 7.49/5.62 tff(17958,plain,
% 7.49/5.62 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139) | v111(constB139)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17959,plain,
% 7.49/5.62 ((~((~v126(constB139)) <=> v111(constB139))) | v126(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17958, 13908])).
% 7.49/5.62 tff(17960,plain,
% 7.49/5.62 (v126(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17959, 17957])).
% 7.49/5.62 tff(17961,plain,
% 7.49/5.62 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139)) | (~v126(constB139))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17962,plain,
% 7.49/5.62 ((~((~v113(constB139)) | (~v126(constB139)))) | (~v113(constB139))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17961, 17960])).
% 7.49/5.62 tff(17963,plain,
% 7.49/5.62 (~((~v113(constB139)) | (~v126(constB139)))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17962, 17955])).
% 7.49/5.62 tff(17964,plain,
% 7.49/5.62 ((~(v112(constB139) <=> (~((~v113(constB139)) | (~v126(constB139)))))) | v112(constB139) | ((~v113(constB139)) | (~v126(constB139)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17965,plain,
% 7.49/5.62 (v112(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17964, 17963, 17931])).
% 7.49/5.62 tff(17966,plain,
% 7.49/5.62 ((v111(constB139) | v112(constB139)) | (~v112(constB139))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17967,plain,
% 7.49/5.62 (v111(constB139) | v112(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17966, 17965])).
% 7.49/5.62 tff(17968,plain,
% 7.49/5.62 ((~(v108(constB139) <=> (v111(constB139) | v112(constB139)))) | v108(constB139) | (~(v111(constB139) | v112(constB139)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17969,plain,
% 7.49/5.62 (v108(constB139)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17968, 17967, 17929])).
% 7.49/5.62 tff(17970,plain,
% 7.49/5.62 ((~(v110(constB140) <=> v108(constB139))) | v110(constB140) | (~v108(constB139))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17971,plain,
% 7.49/5.62 (v110(constB140)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17970, 17969, 17927])).
% 7.49/5.62 tff(17972,plain,
% 7.49/5.62 ((~((~v101(constB140)) | (~v110(constB140)))) | (~v101(constB140)) | (~v110(constB140))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17973,plain,
% 7.49/5.62 (~((~v101(constB140)) | (~v110(constB140)))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17972, 17971, 17923])).
% 7.49/5.62 tff(17974,plain,
% 7.49/5.62 ((~(v100(constB140) <=> (~((~v101(constB140)) | (~v110(constB140)))))) | v100(constB140) | ((~v101(constB140)) | (~v110(constB140)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17975,plain,
% 7.49/5.62 (v100(constB140)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17974, 17973, 17895])).
% 7.49/5.62 tff(17976,plain,
% 7.49/5.62 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.49/5.62 inference(rewrite,[status(thm)],[])).
% 7.49/5.62 tff(17977,plain,
% 7.49/5.62 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB140)) | (~(((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0)))))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(17978,plain,
% 7.49/5.62 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB140)) | (~(((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))))),
% 7.49/5.62 inference(modus_ponens,[status(thm)],[17977, 17976])).
% 7.49/5.62 tff(17979,plain,
% 7.49/5.62 ((~v100(constB140)) | (~(((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17978, 4151])).
% 7.49/5.62 tff(17980,plain,
% 7.49/5.62 (~(((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0)))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17979, 17975])).
% 7.49/5.62 tff(17981,plain,
% 7.49/5.62 ((((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))) | (~((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17982,plain,
% 7.49/5.62 (~((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17981, 17980])).
% 7.49/5.62 tff(17983,plain,
% 7.49/5.62 (((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | v90(constB140, bitIndex2) | (~v129(constB140, bitIndex2))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17984,plain,
% 7.49/5.62 (v90(constB140, bitIndex2)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17983, 17982, 17891])).
% 7.49/5.62 tff(17985,plain,
% 7.49/5.62 (((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | v90(constB141, bitIndex2) | (~v90(constB140, bitIndex2))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17986,plain,
% 7.49/5.62 (v90(constB141, bitIndex2)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17985, 17984, 13892])).
% 7.49/5.62 tff(17987,plain,
% 7.49/5.62 ((((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))) | (~((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17988,plain,
% 7.49/5.62 (~((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17987, 13890])).
% 7.49/5.62 tff(17989,plain,
% 7.49/5.62 ((((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0))) | (~((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17990,plain,
% 7.49/5.62 (~((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17989, 13899])).
% 7.49/5.62 tff(17991,plain,
% 7.49/5.62 ((((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1))) | (~((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17992,plain,
% 7.49/5.62 (~((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17991, 13913])).
% 7.49/5.62 tff(17993,plain,
% 7.49/5.62 ((v130(constB139, bitIndex0) | v130(constB139, bitIndex1) | (~v130(constB139, bitIndex2))) | (~v130(constB139, bitIndex0))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17994,plain,
% 7.49/5.62 (~v130(constB139, bitIndex0)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17993, 17885])).
% 7.49/5.62 tff(17995,plain,
% 7.49/5.62 (((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)) | (~v127(constB139, bitIndex0)) | v130(constB139, bitIndex0)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17996,plain,
% 7.49/5.62 (~v127(constB139, bitIndex0)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17995, 17994, 17992])).
% 7.49/5.62 tff(17997,plain,
% 7.49/5.62 (((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0)) | (~v129(constB140, bitIndex0)) | v127(constB139, bitIndex0)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(17998,plain,
% 7.49/5.62 (~v129(constB140, bitIndex0)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17997, 17996, 17990])).
% 7.49/5.62 tff(17999,plain,
% 7.49/5.62 ((((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))) | (~((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18000,plain,
% 7.49/5.62 (~((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[17999, 17980])).
% 7.49/5.62 tff(18001,plain,
% 7.49/5.62 (((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0)) | (~v90(constB140, bitIndex0)) | v129(constB140, bitIndex0)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18002,plain,
% 7.49/5.62 (~v90(constB140, bitIndex0)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18001, 18000, 17998])).
% 7.49/5.62 tff(18003,plain,
% 7.49/5.62 (((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0)) | (~v90(constB141, bitIndex0)) | v90(constB140, bitIndex0)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18004,plain,
% 7.49/5.62 (~v90(constB141, bitIndex0)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18003, 18002, 17988])).
% 7.49/5.62 tff(18005,plain,
% 7.49/5.62 ((((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | ((~v90(constB141, bitIndex2)) <=> v90(constB140, bitIndex2)) | ((~v90(constB141, bitIndex0)) <=> v90(constB140, bitIndex0))) | (~((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18006,plain,
% 7.49/5.62 (~((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18005, 13890])).
% 7.49/5.62 tff(18007,plain,
% 7.49/5.62 ((((~v129(constB140, bitIndex2)) <=> v127(constB139, bitIndex2)) | ((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | ((~v129(constB140, bitIndex0)) <=> v127(constB139, bitIndex0))) | (~((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18008,plain,
% 7.49/5.62 (~((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18007, 13899])).
% 7.49/5.62 tff(18009,plain,
% 7.49/5.62 ((((~v127(constB139, bitIndex2)) <=> v130(constB139, bitIndex2)) | ((~v127(constB139, bitIndex0)) <=> v130(constB139, bitIndex0)) | ((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1))) | (~((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18010,plain,
% 7.49/5.62 (~((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18009, 13913])).
% 7.49/5.62 tff(18011,plain,
% 7.49/5.62 ((v130(constB139, bitIndex0) | v130(constB139, bitIndex1) | (~v130(constB139, bitIndex2))) | (~v130(constB139, bitIndex1))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18012,plain,
% 7.49/5.62 (~v130(constB139, bitIndex1)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18011, 17885])).
% 7.49/5.62 tff(18013,plain,
% 7.49/5.62 (((~v127(constB139, bitIndex1)) <=> v130(constB139, bitIndex1)) | (~v127(constB139, bitIndex1)) | v130(constB139, bitIndex1)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18014,plain,
% 7.49/5.62 (~v127(constB139, bitIndex1)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18013, 18012, 18010])).
% 7.49/5.62 tff(18015,plain,
% 7.49/5.62 (((~v129(constB140, bitIndex1)) <=> v127(constB139, bitIndex1)) | (~v129(constB140, bitIndex1)) | v127(constB139, bitIndex1)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18016,plain,
% 7.49/5.62 (~v129(constB140, bitIndex1)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18015, 18014, 18008])).
% 7.49/5.62 tff(18017,plain,
% 7.49/5.62 ((((~v90(constB140, bitIndex2)) <=> v129(constB140, bitIndex2)) | ((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | ((~v90(constB140, bitIndex0)) <=> v129(constB140, bitIndex0))) | (~((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18018,plain,
% 7.49/5.62 (~((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18017, 17980])).
% 7.49/5.62 tff(18019,plain,
% 7.49/5.62 (((~v90(constB140, bitIndex1)) <=> v129(constB140, bitIndex1)) | (~v90(constB140, bitIndex1)) | v129(constB140, bitIndex1)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18020,plain,
% 7.49/5.62 (~v90(constB140, bitIndex1)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18019, 18018, 18016])).
% 7.49/5.62 tff(18021,plain,
% 7.49/5.62 (((~v90(constB141, bitIndex1)) <=> v90(constB140, bitIndex1)) | (~v90(constB141, bitIndex1)) | v90(constB140, bitIndex1)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18022,plain,
% 7.49/5.62 (~v90(constB141, bitIndex1)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18021, 18020, 18006])).
% 7.49/5.62 tff(18023,plain,
% 7.49/5.62 ((~(v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2)))) | v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18024,plain,
% 7.49/5.62 (~(v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2)))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18023, 18022, 18004, 17986])).
% 7.49/5.62 tff(18025,plain,
% 7.49/5.62 ((~(v123(constB141) <=> (~(v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2)))))) | v123(constB141) | (v90(constB141, bitIndex1) | v90(constB141, bitIndex0) | (~v90(constB141, bitIndex2)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18026,plain,
% 7.49/5.62 (v123(constB141)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18025, 18024, 13856])).
% 7.49/5.62 tff(18027,plain,
% 7.49/5.62 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB141)) | (~(v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)) | (~v130(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB141)) | (~(v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)) | (~v130(constB141, bitIndex0)))))),
% 7.49/5.62 inference(rewrite,[status(thm)],[])).
% 7.49/5.62 tff(18028,plain,
% 7.49/5.62 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB141)) | (~(v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)) | (~v130(constB141, bitIndex0)))))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(18029,plain,
% 7.49/5.62 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB141)) | (~(v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)) | (~v130(constB141, bitIndex0))))),
% 7.49/5.62 inference(modus_ponens,[status(thm)],[18028, 18027])).
% 7.49/5.62 tff(18030,plain,
% 7.49/5.62 ((~v123(constB141)) | (~(v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)) | (~v130(constB141, bitIndex0))))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18029, 4722])).
% 7.49/5.62 tff(18031,plain,
% 7.49/5.62 (~(v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)) | (~v130(constB141, bitIndex0)))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18030, 18026])).
% 7.49/5.62 tff(18032,plain,
% 7.49/5.62 ((v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)) | (~v130(constB141, bitIndex0))) | v130(constB141, bitIndex2)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18033,plain,
% 7.49/5.62 (v130(constB141, bitIndex2)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18032, 18031])).
% 7.49/5.62 tff(18034,plain,
% 7.49/5.62 (((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | v127(constB141, bitIndex2) | (~v130(constB141, bitIndex2))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18035,plain,
% 7.49/5.62 (v127(constB141, bitIndex2)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18034, 18033, 13849])).
% 7.49/5.62 tff(18036,plain,
% 7.49/5.62 (((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | v129(constB142, bitIndex2) | (~v127(constB141, bitIndex2))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18037,plain,
% 7.49/5.62 (v129(constB142, bitIndex2)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18036, 18035, 13835])).
% 7.49/5.62 tff(18038,plain,
% 7.49/5.62 (((~![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))))))),
% 7.49/5.62 inference(rewrite,[status(thm)],[])).
% 7.49/5.62 tff(18039,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(18040,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB141, constB142)) | (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))),
% 7.49/5.62 inference(modus_ponens,[status(thm)],[18039, 18038])).
% 7.49/5.62 tff(18041,plain,
% 7.49/5.62 (v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142))))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18040, 13829, 433])).
% 7.49/5.62 tff(18042,plain,
% 7.49/5.62 (((~![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))))))),
% 7.49/5.62 inference(rewrite,[status(thm)],[])).
% 7.49/5.62 tff(18043,plain,
% 7.49/5.62 (((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142)))))) <=> ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))))),
% 7.49/5.62 inference(rewrite,[status(thm)],[])).
% 7.49/5.62 tff(18044,plain,
% 7.49/5.62 (((~![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)))))))),
% 7.49/5.62 inference(monotonicity,[status(thm)],[18043])).
% 7.49/5.62 tff(18045,plain,
% 7.49/5.62 (((~![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))))))),
% 7.49/5.62 inference(transitivity,[status(thm)],[18044, 18042])).
% 7.49/5.62 tff(18046,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v102(constB142)) | (~v1(constB142))))))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(18047,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))),
% 7.49/5.62 inference(modus_ponens,[status(thm)],[18046, 18045])).
% 7.49/5.62 tff(18048,plain,
% 7.49/5.62 (v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142))))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18047, 13829, 453])).
% 7.49/5.62 tff(18049,plain,
% 7.49/5.62 (((~![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)))),
% 7.49/5.62 inference(rewrite,[status(thm)],[])).
% 7.49/5.62 tff(18050,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(18051,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB141, constB142)) | ((~v102(constB142)) <=> v104(constB142))),
% 7.49/5.62 inference(modus_ponens,[status(thm)],[18050, 18049])).
% 7.49/5.62 tff(18052,plain,
% 7.49/5.62 ((~v102(constB142)) <=> v104(constB142)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18051, 13829, 3966])).
% 7.49/5.62 tff(18053,plain,
% 7.49/5.62 (((~![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)))),
% 7.49/5.62 inference(rewrite,[status(thm)],[])).
% 7.49/5.62 tff(18054,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(18055,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v1(constB141))),
% 7.49/5.62 inference(modus_ponens,[status(thm)],[18054, 18053])).
% 7.49/5.62 tff(18056,plain,
% 7.49/5.62 (v104(constB142) <=> v1(constB141)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18055, 13829, 3980])).
% 7.49/5.62 tff(18057,plain,
% 7.49/5.62 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142)) | v1(constB141)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18058,plain,
% 7.49/5.62 ((~(v104(constB142) <=> v1(constB141))) | (~v104(constB142))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18057, 13873])).
% 7.49/5.62 tff(18059,plain,
% 7.49/5.62 (~v104(constB142)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18058, 18056])).
% 7.49/5.62 tff(18060,plain,
% 7.49/5.62 ((~((~v102(constB142)) <=> v104(constB142))) | v102(constB142) | v104(constB142)),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18061,plain,
% 7.49/5.62 (v102(constB142)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18060, 18059, 18052])).
% 7.49/5.62 tff(18062,plain,
% 7.49/5.62 (v1(constB142) <=> v1(constB142)),
% 7.49/5.62 inference(rewrite,[status(thm)],[])).
% 7.49/5.62 tff(18063,axiom,(v1(constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_142')).
% 7.49/5.62 tff(18064,plain,
% 7.49/5.62 (v1(constB142)),
% 7.49/5.62 inference(modus_ponens,[status(thm)],[18063, 18062])).
% 7.49/5.62 tff(18065,plain,
% 7.49/5.62 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v1(constB142)) | (~v102(constB142))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18066,plain,
% 7.49/5.62 ((~((~v1(constB142)) | (~v102(constB142)))) | (~v102(constB142))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18065, 18064])).
% 7.49/5.62 tff(18067,plain,
% 7.49/5.62 (~((~v1(constB142)) | (~v102(constB142)))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18066, 18061])).
% 7.49/5.62 tff(18068,plain,
% 7.49/5.62 ((~(v101(constB142) <=> (~((~v1(constB142)) | (~v102(constB142)))))) | v101(constB142) | ((~v1(constB142)) | (~v102(constB142)))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18069,plain,
% 7.49/5.62 (v101(constB142)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18068, 18067, 18048])).
% 7.49/5.62 tff(18070,plain,
% 7.49/5.62 (((~![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)))),
% 7.49/5.62 inference(rewrite,[status(thm)],[])).
% 7.49/5.62 tff(18071,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(18072,plain,
% 7.49/5.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB141, constB142)) | (v110(constB142) <=> v108(constB141))),
% 7.49/5.62 inference(modus_ponens,[status(thm)],[18071, 18070])).
% 7.49/5.62 tff(18073,plain,
% 7.49/5.62 (v110(constB142) <=> v108(constB141)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18072, 13829, 4007])).
% 7.49/5.62 tff(18074,plain,
% 7.49/5.62 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB141) <=> (v111(constB141) | v112(constB141)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(18075,plain,
% 7.49/5.62 (v108(constB141) <=> (v111(constB141) | v112(constB141))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18074, 4018])).
% 7.49/5.62 tff(18076,plain,
% 7.49/5.62 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(18077,plain,
% 7.49/5.62 (v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141))))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18076, 4030])).
% 7.49/5.62 tff(18078,plain,
% 7.49/5.62 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB141) <=> (v114(constB141) | v125(constB141)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(18079,plain,
% 7.49/5.62 (v113(constB141) <=> (v114(constB141) | v125(constB141))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18078, 4039])).
% 7.49/5.62 tff(18080,plain,
% 7.49/5.62 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB141) <=> (v115(constB141) | v124(constB141)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(18081,plain,
% 7.49/5.62 (v114(constB141) <=> (v115(constB141) | v124(constB141))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18080, 4048])).
% 7.49/5.62 tff(18082,plain,
% 7.49/5.62 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB141) <=> (v116(constB141) | v123(constB141)))),
% 7.49/5.62 inference(quant_inst,[status(thm)],[])).
% 7.49/5.62 tff(18083,plain,
% 7.49/5.62 (v115(constB141) <=> (v116(constB141) | v123(constB141))),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18082, 4057])).
% 7.49/5.62 tff(18084,plain,
% 7.49/5.62 ((v116(constB141) | v123(constB141)) | (~v123(constB141))),
% 7.49/5.62 inference(tautology,[status(thm)],[])).
% 7.49/5.62 tff(18085,plain,
% 7.49/5.62 (v116(constB141) | v123(constB141)),
% 7.49/5.62 inference(unit_resolution,[status(thm)],[18084, 18026])).
% 7.49/5.63 tff(18086,plain,
% 7.49/5.63 ((~(v115(constB141) <=> (v116(constB141) | v123(constB141)))) | v115(constB141) | (~(v116(constB141) | v123(constB141)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18087,plain,
% 7.49/5.63 (v115(constB141)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18086, 18085, 18083])).
% 7.49/5.63 tff(18088,plain,
% 7.49/5.63 ((v115(constB141) | v124(constB141)) | (~v115(constB141))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18089,plain,
% 7.49/5.63 (v115(constB141) | v124(constB141)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18088, 18087])).
% 7.49/5.63 tff(18090,plain,
% 7.49/5.63 ((~(v114(constB141) <=> (v115(constB141) | v124(constB141)))) | v114(constB141) | (~(v115(constB141) | v124(constB141)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18091,plain,
% 7.49/5.63 (v114(constB141)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18090, 18089, 18081])).
% 7.49/5.63 tff(18092,plain,
% 7.49/5.63 ((v114(constB141) | v125(constB141)) | (~v114(constB141))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18093,plain,
% 7.49/5.63 (v114(constB141) | v125(constB141)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18092, 18091])).
% 7.49/5.63 tff(18094,plain,
% 7.49/5.63 ((~(v113(constB141) <=> (v114(constB141) | v125(constB141)))) | v113(constB141) | (~(v114(constB141) | v125(constB141)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18095,plain,
% 7.49/5.63 (v113(constB141)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18094, 18093, 18079])).
% 7.49/5.63 tff(18096,plain,
% 7.49/5.63 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB141)) <=> v111(constB141))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18097,plain,
% 7.49/5.63 ((~v126(constB141)) <=> v111(constB141)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18096, 4118])).
% 7.49/5.63 tff(18098,plain,
% 7.49/5.63 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141) | v111(constB141)),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18099,plain,
% 7.49/5.63 ((~((~v126(constB141)) <=> v111(constB141))) | v126(constB141)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18098, 13842])).
% 7.49/5.63 tff(18100,plain,
% 7.49/5.63 (v126(constB141)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18099, 18097])).
% 7.49/5.63 tff(18101,plain,
% 7.49/5.63 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141)) | (~v126(constB141))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18102,plain,
% 7.49/5.63 ((~((~v113(constB141)) | (~v126(constB141)))) | (~v113(constB141))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18101, 18100])).
% 7.49/5.63 tff(18103,plain,
% 7.49/5.63 (~((~v113(constB141)) | (~v126(constB141)))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18102, 18095])).
% 7.49/5.63 tff(18104,plain,
% 7.49/5.63 ((~(v112(constB141) <=> (~((~v113(constB141)) | (~v126(constB141)))))) | v112(constB141) | ((~v113(constB141)) | (~v126(constB141)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18105,plain,
% 7.49/5.63 (v112(constB141)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18104, 18103, 18077])).
% 7.49/5.63 tff(18106,plain,
% 7.49/5.63 ((v111(constB141) | v112(constB141)) | (~v112(constB141))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18107,plain,
% 7.49/5.63 (v111(constB141) | v112(constB141)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18106, 18105])).
% 7.49/5.63 tff(18108,plain,
% 7.49/5.63 ((~(v108(constB141) <=> (v111(constB141) | v112(constB141)))) | v108(constB141) | (~(v111(constB141) | v112(constB141)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18109,plain,
% 7.49/5.63 (v108(constB141)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18108, 18107, 18075])).
% 7.49/5.63 tff(18110,plain,
% 7.49/5.63 ((~(v110(constB142) <=> v108(constB141))) | v110(constB142) | (~v108(constB141))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18111,plain,
% 7.49/5.63 (v110(constB142)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18110, 18109, 18073])).
% 7.49/5.63 tff(18112,plain,
% 7.49/5.63 ((~((~v101(constB142)) | (~v110(constB142)))) | (~v101(constB142)) | (~v110(constB142))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18113,plain,
% 7.49/5.63 (~((~v101(constB142)) | (~v110(constB142)))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18112, 18111, 18069])).
% 7.49/5.63 tff(18114,plain,
% 7.49/5.63 ((~(v100(constB142) <=> (~((~v101(constB142)) | (~v110(constB142)))))) | v100(constB142) | ((~v101(constB142)) | (~v110(constB142)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18115,plain,
% 7.49/5.63 (v100(constB142)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18114, 18113, 18041])).
% 7.49/5.63 tff(18116,plain,
% 7.49/5.63 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.49/5.63 inference(rewrite,[status(thm)],[])).
% 7.49/5.63 tff(18117,plain,
% 7.49/5.63 (((~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)))))),
% 7.49/5.63 inference(rewrite,[status(thm)],[])).
% 7.49/5.63 tff(18118,plain,
% 7.49/5.63 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 7.49/5.63 inference(monotonicity,[status(thm)],[18117])).
% 7.49/5.63 tff(18119,plain,
% 7.49/5.63 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.49/5.63 inference(transitivity,[status(thm)],[18118, 18116])).
% 7.49/5.63 tff(18120,plain,
% 7.49/5.63 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB142)) | (~(((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)) | ((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)))))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18121,plain,
% 7.49/5.63 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB142)) | (~(((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))))),
% 7.49/5.63 inference(modus_ponens,[status(thm)],[18120, 18119])).
% 7.49/5.63 tff(18122,plain,
% 7.49/5.63 ((~v100(constB142)) | (~(((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18121, 4151])).
% 7.49/5.63 tff(18123,plain,
% 7.49/5.63 (~(((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18122, 18115])).
% 7.49/5.63 tff(18124,plain,
% 7.49/5.63 ((((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))) | (~((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18125,plain,
% 7.49/5.63 (~((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18124, 18123])).
% 7.49/5.63 tff(18126,plain,
% 7.49/5.63 (((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18127,plain,
% 7.49/5.63 (v90(constB142, bitIndex2)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18126, 18125, 18037])).
% 7.49/5.63 tff(18128,plain,
% 7.49/5.63 (((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | v90(constB143, bitIndex2) | (~v90(constB142, bitIndex2))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18129,plain,
% 7.49/5.63 (v90(constB143, bitIndex2)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18128, 18127, 13826])).
% 7.49/5.63 tff(18130,plain,
% 7.49/5.63 ((((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))) | (~((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18131,plain,
% 7.49/5.63 (~((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18130, 13824])).
% 7.49/5.63 tff(18132,plain,
% 7.49/5.63 ((((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0))) | (~((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18133,plain,
% 7.49/5.63 (~((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18132, 13833])).
% 7.49/5.63 tff(18134,plain,
% 7.49/5.63 ((((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1))) | (~((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18135,plain,
% 7.49/5.63 (~((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18134, 13847])).
% 7.49/5.63 tff(18136,plain,
% 7.49/5.63 ((v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)) | (~v130(constB141, bitIndex0))) | v130(constB141, bitIndex0)),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18137,plain,
% 7.49/5.63 (v130(constB141, bitIndex0)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18136, 18031])).
% 7.49/5.63 tff(18138,plain,
% 7.49/5.63 (((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)) | v127(constB141, bitIndex0) | (~v130(constB141, bitIndex0))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18139,plain,
% 7.49/5.63 (v127(constB141, bitIndex0)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18138, 18137, 18135])).
% 7.49/5.63 tff(18140,plain,
% 7.49/5.63 (((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0)) | v129(constB142, bitIndex0) | (~v127(constB141, bitIndex0))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18141,plain,
% 7.49/5.63 (v129(constB142, bitIndex0)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18140, 18139, 18133])).
% 7.49/5.63 tff(18142,plain,
% 7.49/5.63 ((((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))) | (~((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18143,plain,
% 7.49/5.63 (~((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18142, 18123])).
% 7.49/5.63 tff(18144,plain,
% 7.49/5.63 (((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | v90(constB142, bitIndex0) | (~v129(constB142, bitIndex0))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18145,plain,
% 7.49/5.63 (v90(constB142, bitIndex0)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18144, 18143, 18141])).
% 7.49/5.63 tff(18146,plain,
% 7.49/5.63 (((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0)) | v90(constB143, bitIndex0) | (~v90(constB142, bitIndex0))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18147,plain,
% 7.49/5.63 (v90(constB143, bitIndex0)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18146, 18145, 18131])).
% 7.49/5.63 tff(18148,plain,
% 7.49/5.63 ((((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | ((~v90(constB143, bitIndex2)) <=> v90(constB142, bitIndex2)) | ((~v90(constB143, bitIndex0)) <=> v90(constB142, bitIndex0))) | (~((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18149,plain,
% 7.49/5.63 (~((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18148, 13824])).
% 7.49/5.63 tff(18150,plain,
% 7.49/5.63 ((((~v129(constB142, bitIndex2)) <=> v127(constB141, bitIndex2)) | ((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | ((~v129(constB142, bitIndex0)) <=> v127(constB141, bitIndex0))) | (~((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18151,plain,
% 7.49/5.63 (~((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18150, 13833])).
% 7.49/5.63 tff(18152,plain,
% 7.49/5.63 ((((~v127(constB141, bitIndex2)) <=> v130(constB141, bitIndex2)) | ((~v127(constB141, bitIndex0)) <=> v130(constB141, bitIndex0)) | ((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1))) | (~((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18153,plain,
% 7.49/5.63 (~((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18152, 13847])).
% 7.49/5.63 tff(18154,plain,
% 7.49/5.63 ((v130(constB141, bitIndex1) | (~v130(constB141, bitIndex2)) | (~v130(constB141, bitIndex0))) | (~v130(constB141, bitIndex1))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18155,plain,
% 7.49/5.63 (~v130(constB141, bitIndex1)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18154, 18031])).
% 7.49/5.63 tff(18156,plain,
% 7.49/5.63 (((~v127(constB141, bitIndex1)) <=> v130(constB141, bitIndex1)) | (~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18157,plain,
% 7.49/5.63 (~v127(constB141, bitIndex1)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18156, 18155, 18153])).
% 7.49/5.63 tff(18158,plain,
% 7.49/5.63 (((~v129(constB142, bitIndex1)) <=> v127(constB141, bitIndex1)) | (~v129(constB142, bitIndex1)) | v127(constB141, bitIndex1)),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18159,plain,
% 7.49/5.63 (~v129(constB142, bitIndex1)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18158, 18157, 18151])).
% 7.49/5.63 tff(18160,plain,
% 7.49/5.63 ((((~v90(constB142, bitIndex0)) <=> v129(constB142, bitIndex0)) | ((~v90(constB142, bitIndex2)) <=> v129(constB142, bitIndex2)) | ((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))) | (~((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18161,plain,
% 7.49/5.63 (~((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18160, 18123])).
% 7.49/5.63 tff(18162,plain,
% 7.49/5.63 (((~v90(constB142, bitIndex1)) <=> v129(constB142, bitIndex1)) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1)),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18163,plain,
% 7.49/5.63 (~v90(constB142, bitIndex1)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18162, 18161, 18159])).
% 7.49/5.63 tff(18164,plain,
% 7.49/5.63 (((~v90(constB143, bitIndex1)) <=> v90(constB142, bitIndex1)) | (~v90(constB143, bitIndex1)) | v90(constB142, bitIndex1)),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18165,plain,
% 7.49/5.63 (~v90(constB143, bitIndex1)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18164, 18163, 18149])).
% 7.49/5.63 tff(18166,plain,
% 7.49/5.63 ((~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0)))) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18167,plain,
% 7.49/5.63 (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0)))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18166, 18165, 18147, 18129])).
% 7.49/5.63 tff(18168,plain,
% 7.49/5.63 ((~(v124(constB143) <=> (~(v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0)))))) | v124(constB143) | (v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | (~v90(constB143, bitIndex0)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18169,plain,
% 7.49/5.63 (v124(constB143)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18168, 18167, 13790])).
% 7.49/5.63 tff(18170,plain,
% 7.49/5.63 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB143)) | (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB143)) | (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1)))))),
% 7.49/5.63 inference(rewrite,[status(thm)],[])).
% 7.49/5.63 tff(18171,plain,
% 7.49/5.63 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB143)) | (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1)))))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18172,plain,
% 7.49/5.63 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB143)) | (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1))))),
% 7.49/5.63 inference(modus_ponens,[status(thm)],[18171, 18170])).
% 7.49/5.63 tff(18173,plain,
% 7.49/5.63 ((~v124(constB143)) | (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1))))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18172, 4878])).
% 7.49/5.63 tff(18174,plain,
% 7.49/5.63 (~(v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1)))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18173, 18169])).
% 7.49/5.63 tff(18175,plain,
% 7.49/5.63 ((v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1))) | v130(constB143, bitIndex2)),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18176,plain,
% 7.49/5.63 (v130(constB143, bitIndex2)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18175, 18174])).
% 7.49/5.63 tff(18177,plain,
% 7.49/5.63 (((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | v127(constB143, bitIndex2) | (~v130(constB143, bitIndex2))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18178,plain,
% 7.49/5.63 (v127(constB143, bitIndex2)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18177, 18176, 13783])).
% 7.49/5.63 tff(18179,plain,
% 7.49/5.63 (((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | v129(constB144, bitIndex2) | (~v127(constB143, bitIndex2))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18180,plain,
% 7.49/5.63 (v129(constB144, bitIndex2)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18179, 18178, 13769])).
% 7.49/5.63 tff(18181,plain,
% 7.49/5.63 (((~![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))))))),
% 7.49/5.63 inference(rewrite,[status(thm)],[])).
% 7.49/5.63 tff(18182,plain,
% 7.49/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18183,plain,
% 7.49/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB143, constB144)) | (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))),
% 7.49/5.63 inference(modus_ponens,[status(thm)],[18182, 18181])).
% 7.49/5.63 tff(18184,plain,
% 7.49/5.63 (v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144))))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18183, 13763, 433])).
% 7.49/5.63 tff(18185,plain,
% 7.49/5.63 (((~![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))))))),
% 7.49/5.63 inference(rewrite,[status(thm)],[])).
% 7.49/5.63 tff(18186,plain,
% 7.49/5.63 (((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144)))))) <=> ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))))),
% 7.49/5.63 inference(rewrite,[status(thm)],[])).
% 7.49/5.63 tff(18187,plain,
% 7.49/5.63 (((~![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)))))))),
% 7.49/5.63 inference(monotonicity,[status(thm)],[18186])).
% 7.49/5.63 tff(18188,plain,
% 7.49/5.63 (((~![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))))))),
% 7.49/5.63 inference(transitivity,[status(thm)],[18187, 18185])).
% 7.49/5.63 tff(18189,plain,
% 7.49/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v102(constB144)) | (~v1(constB144))))))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18190,plain,
% 7.49/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))),
% 7.49/5.63 inference(modus_ponens,[status(thm)],[18189, 18188])).
% 7.49/5.63 tff(18191,plain,
% 7.49/5.63 (v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144))))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18190, 13763, 453])).
% 7.49/5.63 tff(18192,plain,
% 7.49/5.63 (((~![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)))),
% 7.49/5.63 inference(rewrite,[status(thm)],[])).
% 7.49/5.63 tff(18193,plain,
% 7.49/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144)))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18194,plain,
% 7.49/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB143, constB144)) | ((~v102(constB144)) <=> v104(constB144))),
% 7.49/5.63 inference(modus_ponens,[status(thm)],[18193, 18192])).
% 7.49/5.63 tff(18195,plain,
% 7.49/5.63 ((~v102(constB144)) <=> v104(constB144)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18194, 13763, 3966])).
% 7.49/5.63 tff(18196,plain,
% 7.49/5.63 (((~![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)))),
% 7.49/5.63 inference(rewrite,[status(thm)],[])).
% 7.49/5.63 tff(18197,plain,
% 7.49/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143)))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18198,plain,
% 7.49/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v1(constB143))),
% 7.49/5.63 inference(modus_ponens,[status(thm)],[18197, 18196])).
% 7.49/5.63 tff(18199,plain,
% 7.49/5.63 (v104(constB144) <=> v1(constB143)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18198, 13763, 3980])).
% 7.49/5.63 tff(18200,plain,
% 7.49/5.63 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144)) | v1(constB143)),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18201,plain,
% 7.49/5.63 ((~(v104(constB144) <=> v1(constB143))) | (~v104(constB144))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18200, 13807])).
% 7.49/5.63 tff(18202,plain,
% 7.49/5.63 (~v104(constB144)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18201, 18199])).
% 7.49/5.63 tff(18203,plain,
% 7.49/5.63 ((~((~v102(constB144)) <=> v104(constB144))) | v102(constB144) | v104(constB144)),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18204,plain,
% 7.49/5.63 (v102(constB144)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18203, 18202, 18195])).
% 7.49/5.63 tff(18205,plain,
% 7.49/5.63 (v1(constB144) <=> v1(constB144)),
% 7.49/5.63 inference(rewrite,[status(thm)],[])).
% 7.49/5.63 tff(18206,axiom,(v1(constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_144')).
% 7.49/5.63 tff(18207,plain,
% 7.49/5.63 (v1(constB144)),
% 7.49/5.63 inference(modus_ponens,[status(thm)],[18206, 18205])).
% 7.49/5.63 tff(18208,plain,
% 7.49/5.63 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v1(constB144)) | (~v102(constB144))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18209,plain,
% 7.49/5.63 ((~((~v1(constB144)) | (~v102(constB144)))) | (~v102(constB144))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18208, 18207])).
% 7.49/5.63 tff(18210,plain,
% 7.49/5.63 (~((~v1(constB144)) | (~v102(constB144)))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18209, 18204])).
% 7.49/5.63 tff(18211,plain,
% 7.49/5.63 ((~(v101(constB144) <=> (~((~v1(constB144)) | (~v102(constB144)))))) | v101(constB144) | ((~v1(constB144)) | (~v102(constB144)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18212,plain,
% 7.49/5.63 (v101(constB144)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18211, 18210, 18191])).
% 7.49/5.63 tff(18213,plain,
% 7.49/5.63 (((~![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)))),
% 7.49/5.63 inference(rewrite,[status(thm)],[])).
% 7.49/5.63 tff(18214,plain,
% 7.49/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143)))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18215,plain,
% 7.49/5.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB143, constB144)) | (v110(constB144) <=> v108(constB143))),
% 7.49/5.63 inference(modus_ponens,[status(thm)],[18214, 18213])).
% 7.49/5.63 tff(18216,plain,
% 7.49/5.63 (v110(constB144) <=> v108(constB143)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18215, 13763, 4007])).
% 7.49/5.63 tff(18217,plain,
% 7.49/5.63 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB143) <=> (v111(constB143) | v112(constB143)))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18218,plain,
% 7.49/5.63 (v108(constB143) <=> (v111(constB143) | v112(constB143))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18217, 4018])).
% 7.49/5.63 tff(18219,plain,
% 7.49/5.63 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18220,plain,
% 7.49/5.63 (v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143))))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18219, 4030])).
% 7.49/5.63 tff(18221,plain,
% 7.49/5.63 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB143) <=> (v114(constB143) | v125(constB143)))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18222,plain,
% 7.49/5.63 (v113(constB143) <=> (v114(constB143) | v125(constB143))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18221, 4039])).
% 7.49/5.63 tff(18223,plain,
% 7.49/5.63 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB143) <=> (v115(constB143) | v124(constB143)))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18224,plain,
% 7.49/5.63 (v114(constB143) <=> (v115(constB143) | v124(constB143))),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18223, 4048])).
% 7.49/5.63 tff(18225,plain,
% 7.49/5.63 ((v115(constB143) | v124(constB143)) | (~v124(constB143))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18226,plain,
% 7.49/5.63 (v115(constB143) | v124(constB143)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18225, 18169])).
% 7.49/5.63 tff(18227,plain,
% 7.49/5.63 ((~(v114(constB143) <=> (v115(constB143) | v124(constB143)))) | v114(constB143) | (~(v115(constB143) | v124(constB143)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18228,plain,
% 7.49/5.63 (v114(constB143)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18227, 18226, 18224])).
% 7.49/5.63 tff(18229,plain,
% 7.49/5.63 ((v114(constB143) | v125(constB143)) | (~v114(constB143))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18230,plain,
% 7.49/5.63 (v114(constB143) | v125(constB143)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18229, 18228])).
% 7.49/5.63 tff(18231,plain,
% 7.49/5.63 ((~(v113(constB143) <=> (v114(constB143) | v125(constB143)))) | v113(constB143) | (~(v114(constB143) | v125(constB143)))),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18232,plain,
% 7.49/5.63 (v113(constB143)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18231, 18230, 18222])).
% 7.49/5.63 tff(18233,plain,
% 7.49/5.63 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB143)) <=> v111(constB143))),
% 7.49/5.63 inference(quant_inst,[status(thm)],[])).
% 7.49/5.63 tff(18234,plain,
% 7.49/5.63 ((~v126(constB143)) <=> v111(constB143)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18233, 4118])).
% 7.49/5.63 tff(18235,plain,
% 7.49/5.63 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143) | v111(constB143)),
% 7.49/5.63 inference(tautology,[status(thm)],[])).
% 7.49/5.63 tff(18236,plain,
% 7.49/5.63 ((~((~v126(constB143)) <=> v111(constB143))) | v126(constB143)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18235, 13776])).
% 7.49/5.63 tff(18237,plain,
% 7.49/5.63 (v126(constB143)),
% 7.49/5.63 inference(unit_resolution,[status(thm)],[18236, 18234])).
% 7.49/5.63 tff(18238,plain,
% 7.52/5.63 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143)) | (~v126(constB143))),
% 7.52/5.63 inference(tautology,[status(thm)],[])).
% 7.52/5.63 tff(18239,plain,
% 7.52/5.63 ((~((~v113(constB143)) | (~v126(constB143)))) | (~v113(constB143))),
% 7.52/5.63 inference(unit_resolution,[status(thm)],[18238, 18237])).
% 7.52/5.63 tff(18240,plain,
% 7.52/5.63 (~((~v113(constB143)) | (~v126(constB143)))),
% 7.52/5.63 inference(unit_resolution,[status(thm)],[18239, 18232])).
% 7.52/5.63 tff(18241,plain,
% 7.52/5.63 ((~(v112(constB143) <=> (~((~v113(constB143)) | (~v126(constB143)))))) | v112(constB143) | ((~v113(constB143)) | (~v126(constB143)))),
% 7.52/5.63 inference(tautology,[status(thm)],[])).
% 7.52/5.63 tff(18242,plain,
% 7.52/5.63 (v112(constB143)),
% 7.52/5.63 inference(unit_resolution,[status(thm)],[18241, 18240, 18220])).
% 7.52/5.63 tff(18243,plain,
% 7.52/5.63 ((v111(constB143) | v112(constB143)) | (~v112(constB143))),
% 7.52/5.63 inference(tautology,[status(thm)],[])).
% 7.52/5.63 tff(18244,plain,
% 7.52/5.63 (v111(constB143) | v112(constB143)),
% 7.52/5.63 inference(unit_resolution,[status(thm)],[18243, 18242])).
% 7.52/5.63 tff(18245,plain,
% 7.52/5.63 ((~(v108(constB143) <=> (v111(constB143) | v112(constB143)))) | v108(constB143) | (~(v111(constB143) | v112(constB143)))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18246,plain,
% 7.52/5.64 (v108(constB143)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18245, 18244, 18218])).
% 7.52/5.64 tff(18247,plain,
% 7.52/5.64 ((~(v110(constB144) <=> v108(constB143))) | v110(constB144) | (~v108(constB143))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18248,plain,
% 7.52/5.64 (v110(constB144)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18247, 18246, 18216])).
% 7.52/5.64 tff(18249,plain,
% 7.52/5.64 ((~((~v101(constB144)) | (~v110(constB144)))) | (~v101(constB144)) | (~v110(constB144))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18250,plain,
% 7.52/5.64 (~((~v101(constB144)) | (~v110(constB144)))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18249, 18248, 18212])).
% 7.52/5.64 tff(18251,plain,
% 7.52/5.64 ((~(v100(constB144) <=> (~((~v101(constB144)) | (~v110(constB144)))))) | v100(constB144) | ((~v101(constB144)) | (~v110(constB144)))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18252,plain,
% 7.52/5.64 (v100(constB144)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18251, 18250, 18184])).
% 7.52/5.64 tff(18253,plain,
% 7.52/5.64 (((~![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)))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18254,plain,
% 7.52/5.64 ((~![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)))))),
% 7.52/5.64 inference(quant_inst,[status(thm)],[])).
% 7.52/5.64 tff(18255,plain,
% 7.52/5.64 ((~![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))))),
% 7.52/5.64 inference(modus_ponens,[status(thm)],[18254, 18253])).
% 7.52/5.64 tff(18256,plain,
% 7.52/5.64 ((~v100(constB144)) | (~(((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0))))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18255, 4151])).
% 7.52/5.64 tff(18257,plain,
% 7.52/5.64 (~(((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0)))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18256, 18252])).
% 7.52/5.64 tff(18258,plain,
% 7.52/5.64 ((((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0))) | (~((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18259,plain,
% 7.52/5.64 (~((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18258, 18257])).
% 7.52/5.64 tff(18260,plain,
% 7.52/5.64 (((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18261,plain,
% 7.52/5.64 (v90(constB144, bitIndex2)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18260, 18259, 18180])).
% 7.52/5.64 tff(18262,plain,
% 7.52/5.64 (((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | v90(constB145, bitIndex2) | (~v90(constB144, bitIndex2))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18263,plain,
% 7.52/5.64 (v90(constB145, bitIndex2)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18262, 18261, 13760])).
% 7.52/5.64 tff(18264,plain,
% 7.52/5.64 ((v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex2))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18265,plain,
% 7.52/5.64 (v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18264, 18263])).
% 7.52/5.64 tff(18266,plain,
% 7.52/5.64 ((~(v119(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2))))) | (~v119(constB145)) | (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | v90(constB145, bitIndex2)))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18267,plain,
% 7.52/5.64 (~v119(constB145)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18266, 18265, 13724])).
% 7.52/5.64 tff(18268,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18269,plain,
% 7.52/5.64 ((v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2))))) <=> (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0)))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18270,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(monotonicity,[status(thm)],[18269])).
% 7.52/5.64 tff(18271,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(transitivity,[status(thm)],[18270, 18268])).
% 7.52/5.64 tff(18272,plain,
% 7.52/5.64 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex2)))))),
% 7.52/5.64 inference(quant_inst,[status(thm)],[])).
% 7.52/5.64 tff(18273,plain,
% 7.52/5.64 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0)))))),
% 7.52/5.64 inference(modus_ponens,[status(thm)],[18272, 18271])).
% 7.52/5.64 tff(18274,plain,
% 7.52/5.64 (v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0))))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18273, 801])).
% 7.52/5.64 tff(18275,plain,
% 7.52/5.64 ((((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))) | (~((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18276,plain,
% 7.52/5.64 (~((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18275, 13758])).
% 7.52/5.64 tff(18277,plain,
% 7.52/5.64 ((((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0))) | (~((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18278,plain,
% 7.52/5.64 (~((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18277, 13767])).
% 7.52/5.64 tff(18279,plain,
% 7.52/5.64 ((((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1))) | (~((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18280,plain,
% 7.52/5.64 (~((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18279, 13781])).
% 7.52/5.64 tff(18281,plain,
% 7.52/5.64 ((v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1))) | v130(constB143, bitIndex1)),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18282,plain,
% 7.52/5.64 (v130(constB143, bitIndex1)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18281, 18174])).
% 7.52/5.64 tff(18283,plain,
% 7.52/5.64 (((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1)) | v127(constB143, bitIndex1) | (~v130(constB143, bitIndex1))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18284,plain,
% 7.52/5.64 (v127(constB143, bitIndex1)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18283, 18282, 18280])).
% 7.52/5.64 tff(18285,plain,
% 7.52/5.64 (((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | v129(constB144, bitIndex1) | (~v127(constB143, bitIndex1))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18286,plain,
% 7.52/5.64 (v129(constB144, bitIndex1)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18285, 18284, 18278])).
% 7.52/5.64 tff(18287,plain,
% 7.52/5.64 ((((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0))) | (~((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18288,plain,
% 7.52/5.64 (~((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18287, 18257])).
% 7.52/5.64 tff(18289,plain,
% 7.52/5.64 (((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18290,plain,
% 7.52/5.64 (v90(constB144, bitIndex1)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18289, 18288, 18286])).
% 7.52/5.64 tff(18291,plain,
% 7.52/5.64 (((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | v90(constB145, bitIndex1) | (~v90(constB144, bitIndex1))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18292,plain,
% 7.52/5.64 (v90(constB145, bitIndex1)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18291, 18290, 18276])).
% 7.52/5.64 tff(18293,plain,
% 7.52/5.64 ((v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex1))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18294,plain,
% 7.52/5.64 (v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18293, 18292])).
% 7.52/5.64 tff(18295,plain,
% 7.52/5.64 ((~(v124(constB145) <=> (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0)))))) | (~v124(constB145)) | (~(v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)) | (~v90(constB145, bitIndex0))))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18296,plain,
% 7.52/5.64 (~v124(constB145)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18295, 18294, 18274])).
% 7.52/5.64 tff(18297,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18298,plain,
% 7.52/5.64 ((v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2))))) <=> (v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2)))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18299,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(monotonicity,[status(thm)],[18298])).
% 7.52/5.64 tff(18300,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(transitivity,[status(thm)],[18299, 18297])).
% 7.52/5.64 tff(18301,plain,
% 7.52/5.64 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex1) | (~v90(constB145, bitIndex2)))))),
% 7.52/5.64 inference(quant_inst,[status(thm)],[])).
% 7.52/5.64 tff(18302,plain,
% 7.52/5.64 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2)))))),
% 7.52/5.64 inference(modus_ponens,[status(thm)],[18301, 18300])).
% 7.52/5.64 tff(18303,plain,
% 7.52/5.64 (v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2))))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18302, 880])).
% 7.52/5.64 tff(18304,plain,
% 7.52/5.64 ((v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2))) | (~v90(constB145, bitIndex1))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18305,plain,
% 7.52/5.64 (v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18304, 18292])).
% 7.52/5.64 tff(18306,plain,
% 7.52/5.64 ((~(v123(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2)))))) | (~v123(constB145)) | (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex2))))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18307,plain,
% 7.52/5.64 (~v123(constB145)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18306, 18305, 18303])).
% 7.52/5.64 tff(18308,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18309,plain,
% 7.52/5.64 ((v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1))))) <=> (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18310,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(monotonicity,[status(thm)],[18309])).
% 7.52/5.64 tff(18311,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(transitivity,[status(thm)],[18310, 18308])).
% 7.52/5.64 tff(18312,plain,
% 7.52/5.64 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)) | (~v90(constB145, bitIndex1)))))),
% 7.52/5.64 inference(quant_inst,[status(thm)],[])).
% 7.52/5.64 tff(18313,plain,
% 7.52/5.64 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))),
% 7.52/5.64 inference(modus_ponens,[status(thm)],[18312, 18311])).
% 7.52/5.64 tff(18314,plain,
% 7.52/5.64 (v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18313, 959])).
% 7.52/5.64 tff(18315,plain,
% 7.52/5.64 ((v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18316,plain,
% 7.52/5.64 (v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18315, 18263])).
% 7.52/5.64 tff(18317,plain,
% 7.52/5.64 ((~(v122(constB145) <=> (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0)))))) | (~v122(constB145)) | (~(v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex0))))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18318,plain,
% 7.52/5.64 (~v122(constB145)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18317, 18316, 18314])).
% 7.52/5.64 tff(18319,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18320,plain,
% 7.52/5.64 ((v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1))))) <=> (v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18321,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(monotonicity,[status(thm)],[18320])).
% 7.52/5.64 tff(18322,plain,
% 7.52/5.64 (((~![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))))))),
% 7.52/5.64 inference(transitivity,[status(thm)],[18321, 18319])).
% 7.52/5.64 tff(18323,plain,
% 7.52/5.64 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex0) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex1)))))),
% 7.52/5.64 inference(quant_inst,[status(thm)],[])).
% 7.52/5.64 tff(18324,plain,
% 7.52/5.64 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)))))),
% 7.52/5.64 inference(modus_ponens,[status(thm)],[18323, 18322])).
% 7.52/5.64 tff(18325,plain,
% 7.52/5.64 (v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1))))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18324, 574])).
% 7.52/5.64 tff(18326,plain,
% 7.52/5.64 ((v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1))) | (~v90(constB145, bitIndex2))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18327,plain,
% 7.52/5.64 (v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18326, 18263])).
% 7.52/5.64 tff(18328,plain,
% 7.52/5.64 ((~(v121(constB145) <=> (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)))))) | (~v121(constB145)) | (~(v90(constB145, bitIndex2) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1))))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18329,plain,
% 7.52/5.64 (~v121(constB145)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18328, 18327, 18325])).
% 7.52/5.64 tff(18330,plain,
% 7.52/5.64 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)))))),
% 7.52/5.64 inference(quant_inst,[status(thm)],[])).
% 7.52/5.64 tff(18331,plain,
% 7.52/5.64 (v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0))))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18330, 653])).
% 7.52/5.64 tff(18332,plain,
% 7.52/5.64 ((v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0))) | (~v90(constB145, bitIndex2))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18333,plain,
% 7.52/5.64 (v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0))),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18332, 18263])).
% 7.52/5.64 tff(18334,plain,
% 7.52/5.64 ((~(v120(constB145) <=> (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0)))))) | (~v120(constB145)) | (~(v90(constB145, bitIndex1) | v90(constB145, bitIndex2) | (~v90(constB145, bitIndex0))))),
% 7.52/5.64 inference(tautology,[status(thm)],[])).
% 7.52/5.64 tff(18335,plain,
% 7.52/5.64 (~v120(constB145)),
% 7.52/5.64 inference(unit_resolution,[status(thm)],[18334, 18333, 18331])).
% 7.52/5.64 tff(18336,plain,
% 7.52/5.64 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(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)))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18337,plain,
% 7.52/5.64 ((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)))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18338,plain,
% 7.52/5.64 ((~(v130(constB145, bitIndex1) | v130(constB145, bitIndex2) | (~v130(constB145, bitIndex0)))) <=> (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))))),
% 7.52/5.64 inference(rewrite,[status(thm)],[])).
% 7.52/5.64 tff(18339,plain,
% 7.52/5.64 ((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)))))),
% 7.52/5.64 inference(monotonicity,[status(thm)],[18338])).
% 7.52/5.64 tff(18340,plain,
% 7.52/5.64 ((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)))))),
% 7.52/5.64 inference(transitivity,[status(thm)],[18339, 18337])).
% 7.52/5.64 tff(18341,plain,
% 7.52/5.64 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(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))))))),
% 7.52/5.65 inference(monotonicity,[status(thm)],[18340])).
% 7.52/5.65 tff(18342,plain,
% 7.52/5.65 (((~![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)))))),
% 7.52/5.65 inference(transitivity,[status(thm)],[18341, 18336])).
% 7.52/5.65 tff(18343,plain,
% 7.52/5.65 ((~![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)))))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18344,plain,
% 7.52/5.65 ((~![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))))),
% 7.52/5.65 inference(modus_ponens,[status(thm)],[18343, 18342])).
% 7.52/5.65 tff(18345,plain,
% 7.52/5.65 (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18344, 5057])).
% 7.52/5.65 tff(18346,plain,
% 7.52/5.65 (~(v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0)))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18345, 18335, 18329, 18318, 18307, 18296, 18267])).
% 7.52/5.65 tff(18347,plain,
% 7.52/5.65 ((v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))) | (~v130(constB145, bitIndex2))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18348,plain,
% 7.52/5.65 (~v130(constB145, bitIndex2)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18347, 18346])).
% 7.52/5.65 tff(18349,plain,
% 7.52/5.65 (((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | (~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18350,plain,
% 7.52/5.65 (~v127(constB145, bitIndex2)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18349, 18348, 13722])).
% 7.52/5.65 tff(18351,plain,
% 7.52/5.65 (((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | (~v129(constB146, bitIndex2)) | v127(constB145, bitIndex2)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18352,plain,
% 7.52/5.65 (~v129(constB146, bitIndex2)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18351, 18350, 13708])).
% 7.52/5.65 tff(18353,plain,
% 7.52/5.65 (((~![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))))))),
% 7.52/5.65 inference(rewrite,[status(thm)],[])).
% 7.52/5.65 tff(18354,plain,
% 7.52/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18355,plain,
% 7.52/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB145, constB146)) | (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))),
% 7.52/5.65 inference(modus_ponens,[status(thm)],[18354, 18353])).
% 7.52/5.65 tff(18356,plain,
% 7.52/5.65 (v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146))))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18355, 13702, 433])).
% 7.52/5.65 tff(18357,plain,
% 7.52/5.65 (((~![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))))))),
% 7.52/5.65 inference(rewrite,[status(thm)],[])).
% 7.52/5.65 tff(18358,plain,
% 7.52/5.65 (((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146)))))) <=> ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))))),
% 7.52/5.65 inference(rewrite,[status(thm)],[])).
% 7.52/5.65 tff(18359,plain,
% 7.52/5.65 (((~![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)))))))),
% 7.52/5.65 inference(monotonicity,[status(thm)],[18358])).
% 7.52/5.65 tff(18360,plain,
% 7.52/5.65 (((~![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))))))),
% 7.52/5.65 inference(transitivity,[status(thm)],[18359, 18357])).
% 7.52/5.65 tff(18361,plain,
% 7.52/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v102(constB146)) | (~v1(constB146))))))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18362,plain,
% 7.52/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))),
% 7.52/5.65 inference(modus_ponens,[status(thm)],[18361, 18360])).
% 7.52/5.65 tff(18363,plain,
% 7.52/5.65 (v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146))))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18362, 13702, 453])).
% 7.52/5.65 tff(18364,plain,
% 7.52/5.65 (((~![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)))),
% 7.52/5.65 inference(rewrite,[status(thm)],[])).
% 7.52/5.65 tff(18365,plain,
% 7.52/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146)))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18366,plain,
% 7.52/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB145, constB146)) | ((~v102(constB146)) <=> v104(constB146))),
% 7.52/5.65 inference(modus_ponens,[status(thm)],[18365, 18364])).
% 7.52/5.65 tff(18367,plain,
% 7.52/5.65 ((~v102(constB146)) <=> v104(constB146)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18366, 13702, 3966])).
% 7.52/5.65 tff(18368,plain,
% 7.52/5.65 (((~![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)))),
% 7.52/5.65 inference(rewrite,[status(thm)],[])).
% 7.52/5.65 tff(18369,plain,
% 7.52/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145)))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18370,plain,
% 7.52/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v1(constB145))),
% 7.52/5.65 inference(modus_ponens,[status(thm)],[18369, 18368])).
% 7.52/5.65 tff(18371,plain,
% 7.52/5.65 (v104(constB146) <=> v1(constB145)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18370, 13702, 3980])).
% 7.52/5.65 tff(18372,plain,
% 7.52/5.65 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146)) | v1(constB145)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18373,plain,
% 7.52/5.65 ((~(v104(constB146) <=> v1(constB145))) | (~v104(constB146))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18372, 13741])).
% 7.52/5.65 tff(18374,plain,
% 7.52/5.65 (~v104(constB146)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18373, 18371])).
% 7.52/5.65 tff(18375,plain,
% 7.52/5.65 ((~((~v102(constB146)) <=> v104(constB146))) | v102(constB146) | v104(constB146)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18376,plain,
% 7.52/5.65 (v102(constB146)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18375, 18374, 18367])).
% 7.52/5.65 tff(18377,plain,
% 7.52/5.65 (v1(constB146) <=> v1(constB146)),
% 7.52/5.65 inference(rewrite,[status(thm)],[])).
% 7.52/5.65 tff(18378,axiom,(v1(constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_146')).
% 7.52/5.65 tff(18379,plain,
% 7.52/5.65 (v1(constB146)),
% 7.52/5.65 inference(modus_ponens,[status(thm)],[18378, 18377])).
% 7.52/5.65 tff(18380,plain,
% 7.52/5.65 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v1(constB146)) | (~v102(constB146))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18381,plain,
% 7.52/5.65 ((~((~v1(constB146)) | (~v102(constB146)))) | (~v102(constB146))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18380, 18379])).
% 7.52/5.65 tff(18382,plain,
% 7.52/5.65 (~((~v1(constB146)) | (~v102(constB146)))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18381, 18376])).
% 7.52/5.65 tff(18383,plain,
% 7.52/5.65 ((~(v101(constB146) <=> (~((~v1(constB146)) | (~v102(constB146)))))) | v101(constB146) | ((~v1(constB146)) | (~v102(constB146)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18384,plain,
% 7.52/5.65 (v101(constB146)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18383, 18382, 18363])).
% 7.52/5.65 tff(18385,plain,
% 7.52/5.65 (((~![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)))),
% 7.52/5.65 inference(rewrite,[status(thm)],[])).
% 7.52/5.65 tff(18386,plain,
% 7.52/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145)))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18387,plain,
% 7.52/5.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB145, constB146)) | (v110(constB146) <=> v108(constB145))),
% 7.52/5.65 inference(modus_ponens,[status(thm)],[18386, 18385])).
% 7.52/5.65 tff(18388,plain,
% 7.52/5.65 (v110(constB146) <=> v108(constB145)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18387, 13702, 4007])).
% 7.52/5.65 tff(18389,plain,
% 7.52/5.65 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB145) <=> (v111(constB145) | v112(constB145)))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18390,plain,
% 7.52/5.65 (v108(constB145) <=> (v111(constB145) | v112(constB145))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18389, 4018])).
% 7.52/5.65 tff(18391,plain,
% 7.52/5.65 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18392,plain,
% 7.52/5.65 (v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145))))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18391, 4030])).
% 7.52/5.65 tff(18393,plain,
% 7.52/5.65 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB145) <=> (v114(constB145) | v125(constB145)))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18394,plain,
% 7.52/5.65 (v113(constB145) <=> (v114(constB145) | v125(constB145))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18393, 4039])).
% 7.52/5.65 tff(18395,plain,
% 7.52/5.65 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18396,plain,
% 7.52/5.65 (v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2))))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18395, 5129])).
% 7.52/5.65 tff(18397,plain,
% 7.52/5.65 ((((~v90(constB145, bitIndex1)) <=> v90(constB144, bitIndex1)) | ((~v90(constB145, bitIndex2)) <=> v90(constB144, bitIndex2)) | ((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))) | (~((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18398,plain,
% 7.52/5.65 (~((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18397, 13758])).
% 7.52/5.65 tff(18399,plain,
% 7.52/5.65 ((((~v129(constB144, bitIndex2)) <=> v127(constB143, bitIndex2)) | ((~v129(constB144, bitIndex1)) <=> v127(constB143, bitIndex1)) | ((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0))) | (~((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18400,plain,
% 7.52/5.65 (~((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18399, 13767])).
% 7.52/5.65 tff(18401,plain,
% 7.52/5.65 ((((~v127(constB143, bitIndex2)) <=> v130(constB143, bitIndex2)) | ((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)) | ((~v127(constB143, bitIndex1)) <=> v130(constB143, bitIndex1))) | (~((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18402,plain,
% 7.52/5.65 (~((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18401, 13781])).
% 7.52/5.65 tff(18403,plain,
% 7.52/5.65 ((v130(constB143, bitIndex0) | (~v130(constB143, bitIndex2)) | (~v130(constB143, bitIndex1))) | (~v130(constB143, bitIndex0))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18404,plain,
% 7.52/5.65 (~v130(constB143, bitIndex0)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18403, 18174])).
% 7.52/5.65 tff(18405,plain,
% 7.52/5.65 (((~v127(constB143, bitIndex0)) <=> v130(constB143, bitIndex0)) | (~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18406,plain,
% 7.52/5.65 (~v127(constB143, bitIndex0)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18405, 18404, 18402])).
% 7.52/5.65 tff(18407,plain,
% 7.52/5.65 (((~v129(constB144, bitIndex0)) <=> v127(constB143, bitIndex0)) | (~v129(constB144, bitIndex0)) | v127(constB143, bitIndex0)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18408,plain,
% 7.52/5.65 (~v129(constB144, bitIndex0)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18407, 18406, 18400])).
% 7.52/5.65 tff(18409,plain,
% 7.52/5.65 ((((~v90(constB144, bitIndex2)) <=> v129(constB144, bitIndex2)) | ((~v90(constB144, bitIndex1)) <=> v129(constB144, bitIndex1)) | ((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0))) | (~((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18410,plain,
% 7.52/5.65 (~((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18409, 18257])).
% 7.52/5.65 tff(18411,plain,
% 7.52/5.65 (((~v90(constB144, bitIndex0)) <=> v129(constB144, bitIndex0)) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18412,plain,
% 7.52/5.65 (~v90(constB144, bitIndex0)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18411, 18410, 18408])).
% 7.52/5.65 tff(18413,plain,
% 7.52/5.65 (((~v90(constB145, bitIndex0)) <=> v90(constB144, bitIndex0)) | (~v90(constB145, bitIndex0)) | v90(constB144, bitIndex0)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18414,plain,
% 7.52/5.65 (~v90(constB145, bitIndex0)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18413, 18412, 18398])).
% 7.52/5.65 tff(18415,plain,
% 7.52/5.65 ((~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18416,plain,
% 7.52/5.65 (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18415, 18292, 18414, 18263])).
% 7.52/5.65 tff(18417,plain,
% 7.52/5.65 ((~(v125(constB145) <=> (~(v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))))) | v125(constB145) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18418,plain,
% 7.52/5.65 (v125(constB145)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18417, 18416, 18396])).
% 7.52/5.65 tff(18419,plain,
% 7.52/5.65 ((v114(constB145) | v125(constB145)) | (~v125(constB145))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18420,plain,
% 7.52/5.65 (v114(constB145) | v125(constB145)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18419, 18418])).
% 7.52/5.65 tff(18421,plain,
% 7.52/5.65 ((~(v113(constB145) <=> (v114(constB145) | v125(constB145)))) | v113(constB145) | (~(v114(constB145) | v125(constB145)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18422,plain,
% 7.52/5.65 (v113(constB145)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18421, 18420, 18394])).
% 7.52/5.65 tff(18423,plain,
% 7.52/5.65 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB145)) <=> v111(constB145))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18424,plain,
% 7.52/5.65 ((~v126(constB145)) <=> v111(constB145)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18423, 4118])).
% 7.52/5.65 tff(18425,plain,
% 7.52/5.65 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145) | v111(constB145)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18426,plain,
% 7.52/5.65 ((~((~v126(constB145)) <=> v111(constB145))) | v126(constB145)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18425, 13715])).
% 7.52/5.65 tff(18427,plain,
% 7.52/5.65 (v126(constB145)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18426, 18424])).
% 7.52/5.65 tff(18428,plain,
% 7.52/5.65 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145)) | (~v126(constB145))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18429,plain,
% 7.52/5.65 ((~((~v113(constB145)) | (~v126(constB145)))) | (~v113(constB145))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18428, 18427])).
% 7.52/5.65 tff(18430,plain,
% 7.52/5.65 (~((~v113(constB145)) | (~v126(constB145)))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18429, 18422])).
% 7.52/5.65 tff(18431,plain,
% 7.52/5.65 ((~(v112(constB145) <=> (~((~v113(constB145)) | (~v126(constB145)))))) | v112(constB145) | ((~v113(constB145)) | (~v126(constB145)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18432,plain,
% 7.52/5.65 (v112(constB145)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18431, 18430, 18392])).
% 7.52/5.65 tff(18433,plain,
% 7.52/5.65 ((v111(constB145) | v112(constB145)) | (~v112(constB145))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18434,plain,
% 7.52/5.65 (v111(constB145) | v112(constB145)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18433, 18432])).
% 7.52/5.65 tff(18435,plain,
% 7.52/5.65 ((~(v108(constB145) <=> (v111(constB145) | v112(constB145)))) | v108(constB145) | (~(v111(constB145) | v112(constB145)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18436,plain,
% 7.52/5.65 (v108(constB145)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18435, 18434, 18390])).
% 7.52/5.65 tff(18437,plain,
% 7.52/5.65 ((~(v110(constB146) <=> v108(constB145))) | v110(constB146) | (~v108(constB145))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18438,plain,
% 7.52/5.65 (v110(constB146)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18437, 18436, 18388])).
% 7.52/5.65 tff(18439,plain,
% 7.52/5.65 ((~((~v101(constB146)) | (~v110(constB146)))) | (~v101(constB146)) | (~v110(constB146))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18440,plain,
% 7.52/5.65 (~((~v101(constB146)) | (~v110(constB146)))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18439, 18438, 18384])).
% 7.52/5.65 tff(18441,plain,
% 7.52/5.65 ((~(v100(constB146) <=> (~((~v101(constB146)) | (~v110(constB146)))))) | v100(constB146) | ((~v101(constB146)) | (~v110(constB146)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18442,plain,
% 7.52/5.65 (v100(constB146)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18441, 18440, 18356])).
% 7.52/5.65 tff(18443,plain,
% 7.52/5.65 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.52/5.65 inference(rewrite,[status(thm)],[])).
% 7.52/5.65 tff(18444,plain,
% 7.52/5.65 (((~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)))))),
% 7.52/5.65 inference(rewrite,[status(thm)],[])).
% 7.52/5.65 tff(18445,plain,
% 7.52/5.65 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 7.52/5.65 inference(monotonicity,[status(thm)],[18444])).
% 7.52/5.65 tff(18446,plain,
% 7.52/5.65 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.52/5.65 inference(transitivity,[status(thm)],[18445, 18443])).
% 7.52/5.65 tff(18447,plain,
% 7.52/5.65 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB146)) | (~(((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)) | ((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)))))),
% 7.52/5.65 inference(quant_inst,[status(thm)],[])).
% 7.52/5.65 tff(18448,plain,
% 7.52/5.65 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB146)) | (~(((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))))),
% 7.52/5.65 inference(modus_ponens,[status(thm)],[18447, 18446])).
% 7.52/5.65 tff(18449,plain,
% 7.52/5.65 ((~v100(constB146)) | (~(((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18448, 4151])).
% 7.52/5.65 tff(18450,plain,
% 7.52/5.65 (~(((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18449, 18442])).
% 7.52/5.65 tff(18451,plain,
% 7.52/5.65 ((((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))) | (~((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18452,plain,
% 7.52/5.65 (~((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18451, 18450])).
% 7.52/5.65 tff(18453,plain,
% 7.52/5.65 (((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18454,plain,
% 7.52/5.65 (~v90(constB146, bitIndex2)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18453, 18452, 18352])).
% 7.52/5.65 tff(18455,plain,
% 7.52/5.65 (((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | (~v90(constB147, bitIndex2)) | v90(constB146, bitIndex2)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18456,plain,
% 7.52/5.65 (~v90(constB147, bitIndex2)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18455, 18454, 13699])).
% 7.52/5.65 tff(18457,plain,
% 7.52/5.65 ((((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))) | (~((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18458,plain,
% 7.52/5.65 (~((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18457, 13697])).
% 7.52/5.65 tff(18459,plain,
% 7.52/5.65 ((((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0))) | (~((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18460,plain,
% 7.52/5.65 (~((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18459, 13706])).
% 7.52/5.65 tff(18461,plain,
% 7.52/5.65 ((((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1))) | (~((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18462,plain,
% 7.52/5.65 (~((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18461, 13720])).
% 7.52/5.65 tff(18463,plain,
% 7.52/5.65 ((v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))) | v130(constB145, bitIndex0)),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18464,plain,
% 7.52/5.65 (v130(constB145, bitIndex0)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18463, 18346])).
% 7.52/5.65 tff(18465,plain,
% 7.52/5.65 (((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)) | v127(constB145, bitIndex0) | (~v130(constB145, bitIndex0))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18466,plain,
% 7.52/5.65 (v127(constB145, bitIndex0)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18465, 18464, 18462])).
% 7.52/5.65 tff(18467,plain,
% 7.52/5.65 (((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0)) | v129(constB146, bitIndex0) | (~v127(constB145, bitIndex0))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18468,plain,
% 7.52/5.65 (v129(constB146, bitIndex0)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18467, 18466, 18460])).
% 7.52/5.65 tff(18469,plain,
% 7.52/5.65 ((((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))) | (~((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18470,plain,
% 7.52/5.65 (~((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18469, 18450])).
% 7.52/5.65 tff(18471,plain,
% 7.52/5.65 (((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18472,plain,
% 7.52/5.65 (v90(constB146, bitIndex0)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18471, 18470, 18468])).
% 7.52/5.65 tff(18473,plain,
% 7.52/5.65 (((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0)) | v90(constB147, bitIndex0) | (~v90(constB146, bitIndex0))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18474,plain,
% 7.52/5.65 (v90(constB147, bitIndex0)),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18473, 18472, 18458])).
% 7.52/5.65 tff(18475,plain,
% 7.52/5.65 ((((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | ((~v90(constB147, bitIndex2)) <=> v90(constB146, bitIndex2)) | ((~v90(constB147, bitIndex0)) <=> v90(constB146, bitIndex0))) | (~((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18476,plain,
% 7.52/5.65 (~((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18475, 13697])).
% 7.52/5.65 tff(18477,plain,
% 7.52/5.65 ((((~v129(constB146, bitIndex2)) <=> v127(constB145, bitIndex2)) | ((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | ((~v129(constB146, bitIndex0)) <=> v127(constB145, bitIndex0))) | (~((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)))),
% 7.52/5.65 inference(tautology,[status(thm)],[])).
% 7.52/5.65 tff(18478,plain,
% 7.52/5.65 (~((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1))),
% 7.52/5.65 inference(unit_resolution,[status(thm)],[18477, 13706])).
% 7.52/5.65 tff(18479,plain,
% 7.52/5.65 ((((~v127(constB145, bitIndex2)) <=> v130(constB145, bitIndex2)) | ((~v127(constB145, bitIndex0)) <=> v130(constB145, bitIndex0)) | ((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1))) | (~((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18480,plain,
% 7.52/5.66 (~((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18479, 13720])).
% 7.52/5.66 tff(18481,plain,
% 7.52/5.66 ((v130(constB145, bitIndex2) | v130(constB145, bitIndex1) | (~v130(constB145, bitIndex0))) | (~v130(constB145, bitIndex1))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18482,plain,
% 7.52/5.66 (~v130(constB145, bitIndex1)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18481, 18346])).
% 7.52/5.66 tff(18483,plain,
% 7.52/5.66 (((~v127(constB145, bitIndex1)) <=> v130(constB145, bitIndex1)) | (~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18484,plain,
% 7.52/5.66 (~v127(constB145, bitIndex1)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18483, 18482, 18480])).
% 7.52/5.66 tff(18485,plain,
% 7.52/5.66 (((~v129(constB146, bitIndex1)) <=> v127(constB145, bitIndex1)) | (~v129(constB146, bitIndex1)) | v127(constB145, bitIndex1)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18486,plain,
% 7.52/5.66 (~v129(constB146, bitIndex1)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18485, 18484, 18478])).
% 7.52/5.66 tff(18487,plain,
% 7.52/5.66 ((((~v90(constB146, bitIndex0)) <=> v129(constB146, bitIndex0)) | ((~v90(constB146, bitIndex2)) <=> v129(constB146, bitIndex2)) | ((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))) | (~((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18488,plain,
% 7.52/5.66 (~((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18487, 18450])).
% 7.52/5.66 tff(18489,plain,
% 7.52/5.66 (((~v90(constB146, bitIndex1)) <=> v129(constB146, bitIndex1)) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18490,plain,
% 7.52/5.66 (~v90(constB146, bitIndex1)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18489, 18488, 18486])).
% 7.52/5.66 tff(18491,plain,
% 7.52/5.66 (((~v90(constB147, bitIndex1)) <=> v90(constB146, bitIndex1)) | (~v90(constB147, bitIndex1)) | v90(constB146, bitIndex1)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18492,plain,
% 7.52/5.66 (~v90(constB147, bitIndex1)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18491, 18490, 18476])).
% 7.52/5.66 tff(18493,plain,
% 7.52/5.66 ((~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18494,plain,
% 7.52/5.66 (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18493, 18492, 18474, 18456])).
% 7.52/5.66 tff(18495,plain,
% 7.52/5.66 ((~(v120(constB147) <=> (~(v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))))) | v120(constB147) | (v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | (~v90(constB147, bitIndex0)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18496,plain,
% 7.52/5.66 (v120(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18495, 18494, 13663])).
% 7.52/5.66 tff(18497,plain,
% 7.52/5.66 (((~![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)))))),
% 7.52/5.66 inference(rewrite,[status(thm)],[])).
% 7.52/5.66 tff(18498,plain,
% 7.52/5.66 (((~v120(constB147)) | (~(v130(constB147, bitIndex0) | v130(constB147, bitIndex2) | (~v130(constB147, bitIndex1))))) <=> ((~v120(constB147)) | (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1)))))),
% 7.52/5.66 inference(rewrite,[status(thm)],[])).
% 7.52/5.66 tff(18499,plain,
% 7.52/5.66 (((~![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))))))),
% 7.52/5.66 inference(monotonicity,[status(thm)],[18498])).
% 7.52/5.66 tff(18500,plain,
% 7.52/5.66 (((~![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)))))),
% 7.52/5.66 inference(transitivity,[status(thm)],[18499, 18497])).
% 7.52/5.66 tff(18501,plain,
% 7.52/5.66 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB147)) | (~(v130(constB147, bitIndex0) | v130(constB147, bitIndex2) | (~v130(constB147, bitIndex1)))))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18502,plain,
% 7.52/5.66 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB147)) | (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1))))),
% 7.52/5.66 inference(modus_ponens,[status(thm)],[18501, 18500])).
% 7.52/5.66 tff(18503,plain,
% 7.52/5.66 ((~v120(constB147)) | (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1))))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18502, 4218])).
% 7.52/5.66 tff(18504,plain,
% 7.52/5.66 (~(v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1)))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18503, 18496])).
% 7.52/5.66 tff(18505,plain,
% 7.52/5.66 ((v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1))) | (~v130(constB147, bitIndex2))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18506,plain,
% 7.52/5.66 (~v130(constB147, bitIndex2)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18505, 18504])).
% 7.52/5.66 tff(18507,plain,
% 7.52/5.66 (((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | (~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18508,plain,
% 7.52/5.66 (~v127(constB147, bitIndex2)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18507, 18506, 13661])).
% 7.52/5.66 tff(18509,plain,
% 7.52/5.66 (((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | (~v129(constB148, bitIndex2)) | v127(constB147, bitIndex2)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18510,plain,
% 7.52/5.66 (~v129(constB148, bitIndex2)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18509, 18508, 13647])).
% 7.52/5.66 tff(18511,plain,
% 7.52/5.66 (((~![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))))))),
% 7.52/5.66 inference(rewrite,[status(thm)],[])).
% 7.52/5.66 tff(18512,plain,
% 7.52/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18513,plain,
% 7.52/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB147, constB148)) | (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))),
% 7.52/5.66 inference(modus_ponens,[status(thm)],[18512, 18511])).
% 7.52/5.66 tff(18514,plain,
% 7.52/5.66 (v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148))))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18513, 13641, 433])).
% 7.52/5.66 tff(18515,plain,
% 7.52/5.66 (((~![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))))))),
% 7.52/5.66 inference(rewrite,[status(thm)],[])).
% 7.52/5.66 tff(18516,plain,
% 7.52/5.66 (((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148)))))) <=> ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))))),
% 7.52/5.66 inference(rewrite,[status(thm)],[])).
% 7.52/5.66 tff(18517,plain,
% 7.52/5.66 (((~![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)))))))),
% 7.52/5.66 inference(monotonicity,[status(thm)],[18516])).
% 7.52/5.66 tff(18518,plain,
% 7.52/5.66 (((~![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))))))),
% 7.52/5.66 inference(transitivity,[status(thm)],[18517, 18515])).
% 7.52/5.66 tff(18519,plain,
% 7.52/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v102(constB148)) | (~v1(constB148))))))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18520,plain,
% 7.52/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))),
% 7.52/5.66 inference(modus_ponens,[status(thm)],[18519, 18518])).
% 7.52/5.66 tff(18521,plain,
% 7.52/5.66 (v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148))))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18520, 13641, 453])).
% 7.52/5.66 tff(18522,plain,
% 7.52/5.66 (((~![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)))),
% 7.52/5.66 inference(rewrite,[status(thm)],[])).
% 7.52/5.66 tff(18523,plain,
% 7.52/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148)))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18524,plain,
% 7.52/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB147, constB148)) | ((~v102(constB148)) <=> v104(constB148))),
% 7.52/5.66 inference(modus_ponens,[status(thm)],[18523, 18522])).
% 7.52/5.66 tff(18525,plain,
% 7.52/5.66 ((~v102(constB148)) <=> v104(constB148)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18524, 13641, 3966])).
% 7.52/5.66 tff(18526,plain,
% 7.52/5.66 (((~![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)))),
% 7.52/5.66 inference(rewrite,[status(thm)],[])).
% 7.52/5.66 tff(18527,plain,
% 7.52/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147)))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18528,plain,
% 7.52/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v1(constB147))),
% 7.52/5.66 inference(modus_ponens,[status(thm)],[18527, 18526])).
% 7.52/5.66 tff(18529,plain,
% 7.52/5.66 (v104(constB148) <=> v1(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18528, 13641, 3980])).
% 7.52/5.66 tff(18530,plain,
% 7.52/5.66 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148)) | v1(constB147)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18531,plain,
% 7.52/5.66 ((~(v104(constB148) <=> v1(constB147))) | (~v104(constB148))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18530, 13680])).
% 7.52/5.66 tff(18532,plain,
% 7.52/5.66 (~v104(constB148)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18531, 18529])).
% 7.52/5.66 tff(18533,plain,
% 7.52/5.66 ((~((~v102(constB148)) <=> v104(constB148))) | v102(constB148) | v104(constB148)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18534,plain,
% 7.52/5.66 (v102(constB148)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18533, 18532, 18525])).
% 7.52/5.66 tff(18535,plain,
% 7.52/5.66 (v1(constB148) <=> v1(constB148)),
% 7.52/5.66 inference(rewrite,[status(thm)],[])).
% 7.52/5.66 tff(18536,axiom,(v1(constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_148')).
% 7.52/5.66 tff(18537,plain,
% 7.52/5.66 (v1(constB148)),
% 7.52/5.66 inference(modus_ponens,[status(thm)],[18536, 18535])).
% 7.52/5.66 tff(18538,plain,
% 7.52/5.66 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v1(constB148)) | (~v102(constB148))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18539,plain,
% 7.52/5.66 ((~((~v1(constB148)) | (~v102(constB148)))) | (~v102(constB148))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18538, 18537])).
% 7.52/5.66 tff(18540,plain,
% 7.52/5.66 (~((~v1(constB148)) | (~v102(constB148)))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18539, 18534])).
% 7.52/5.66 tff(18541,plain,
% 7.52/5.66 ((~(v101(constB148) <=> (~((~v1(constB148)) | (~v102(constB148)))))) | v101(constB148) | ((~v1(constB148)) | (~v102(constB148)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18542,plain,
% 7.52/5.66 (v101(constB148)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18541, 18540, 18521])).
% 7.52/5.66 tff(18543,plain,
% 7.52/5.66 (((~![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)))),
% 7.52/5.66 inference(rewrite,[status(thm)],[])).
% 7.52/5.66 tff(18544,plain,
% 7.52/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147)))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18545,plain,
% 7.52/5.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB147, constB148)) | (v110(constB148) <=> v108(constB147))),
% 7.52/5.66 inference(modus_ponens,[status(thm)],[18544, 18543])).
% 7.52/5.66 tff(18546,plain,
% 7.52/5.66 (v110(constB148) <=> v108(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18545, 13641, 4007])).
% 7.52/5.66 tff(18547,plain,
% 7.52/5.66 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB147) <=> (v111(constB147) | v112(constB147)))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18548,plain,
% 7.52/5.66 (v108(constB147) <=> (v111(constB147) | v112(constB147))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18547, 4018])).
% 7.52/5.66 tff(18549,plain,
% 7.52/5.66 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18550,plain,
% 7.52/5.66 (v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147))))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18549, 4030])).
% 7.52/5.66 tff(18551,plain,
% 7.52/5.66 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB147) <=> (v114(constB147) | v125(constB147)))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18552,plain,
% 7.52/5.66 (v113(constB147) <=> (v114(constB147) | v125(constB147))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18551, 4039])).
% 7.52/5.66 tff(18553,plain,
% 7.52/5.66 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB147) <=> (v115(constB147) | v124(constB147)))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18554,plain,
% 7.52/5.66 (v114(constB147) <=> (v115(constB147) | v124(constB147))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18553, 4048])).
% 7.52/5.66 tff(18555,plain,
% 7.52/5.66 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB147) <=> (v116(constB147) | v123(constB147)))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18556,plain,
% 7.52/5.66 (v115(constB147) <=> (v116(constB147) | v123(constB147))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18555, 4057])).
% 7.52/5.66 tff(18557,plain,
% 7.52/5.66 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB147) <=> (v117(constB147) | v122(constB147)))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18558,plain,
% 7.52/5.66 (v116(constB147) <=> (v117(constB147) | v122(constB147))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18557, 4066])).
% 7.52/5.66 tff(18559,plain,
% 7.52/5.66 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB147) <=> (v118(constB147) | v121(constB147)))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18560,plain,
% 7.52/5.66 (v117(constB147) <=> (v118(constB147) | v121(constB147))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18559, 4075])).
% 7.52/5.66 tff(18561,plain,
% 7.52/5.66 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB147) <=> (v119(constB147) | v120(constB147)))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18562,plain,
% 7.52/5.66 (v118(constB147) <=> (v119(constB147) | v120(constB147))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18561, 4084])).
% 7.52/5.66 tff(18563,plain,
% 7.52/5.66 ((v119(constB147) | v120(constB147)) | (~v120(constB147))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18564,plain,
% 7.52/5.66 (v119(constB147) | v120(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18563, 18496])).
% 7.52/5.66 tff(18565,plain,
% 7.52/5.66 ((~(v118(constB147) <=> (v119(constB147) | v120(constB147)))) | v118(constB147) | (~(v119(constB147) | v120(constB147)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18566,plain,
% 7.52/5.66 (v118(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18565, 18564, 18562])).
% 7.52/5.66 tff(18567,plain,
% 7.52/5.66 ((v118(constB147) | v121(constB147)) | (~v118(constB147))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18568,plain,
% 7.52/5.66 (v118(constB147) | v121(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18567, 18566])).
% 7.52/5.66 tff(18569,plain,
% 7.52/5.66 ((~(v117(constB147) <=> (v118(constB147) | v121(constB147)))) | v117(constB147) | (~(v118(constB147) | v121(constB147)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18570,plain,
% 7.52/5.66 (v117(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18569, 18568, 18560])).
% 7.52/5.66 tff(18571,plain,
% 7.52/5.66 ((v117(constB147) | v122(constB147)) | (~v117(constB147))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18572,plain,
% 7.52/5.66 (v117(constB147) | v122(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18571, 18570])).
% 7.52/5.66 tff(18573,plain,
% 7.52/5.66 ((~(v116(constB147) <=> (v117(constB147) | v122(constB147)))) | v116(constB147) | (~(v117(constB147) | v122(constB147)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18574,plain,
% 7.52/5.66 (v116(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18573, 18572, 18558])).
% 7.52/5.66 tff(18575,plain,
% 7.52/5.66 ((v116(constB147) | v123(constB147)) | (~v116(constB147))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18576,plain,
% 7.52/5.66 (v116(constB147) | v123(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18575, 18574])).
% 7.52/5.66 tff(18577,plain,
% 7.52/5.66 ((~(v115(constB147) <=> (v116(constB147) | v123(constB147)))) | v115(constB147) | (~(v116(constB147) | v123(constB147)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18578,plain,
% 7.52/5.66 (v115(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18577, 18576, 18556])).
% 7.52/5.66 tff(18579,plain,
% 7.52/5.66 ((v115(constB147) | v124(constB147)) | (~v115(constB147))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18580,plain,
% 7.52/5.66 (v115(constB147) | v124(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18579, 18578])).
% 7.52/5.66 tff(18581,plain,
% 7.52/5.66 ((~(v114(constB147) <=> (v115(constB147) | v124(constB147)))) | v114(constB147) | (~(v115(constB147) | v124(constB147)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18582,plain,
% 7.52/5.66 (v114(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18581, 18580, 18554])).
% 7.52/5.66 tff(18583,plain,
% 7.52/5.66 ((v114(constB147) | v125(constB147)) | (~v114(constB147))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18584,plain,
% 7.52/5.66 (v114(constB147) | v125(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18583, 18582])).
% 7.52/5.66 tff(18585,plain,
% 7.52/5.66 ((~(v113(constB147) <=> (v114(constB147) | v125(constB147)))) | v113(constB147) | (~(v114(constB147) | v125(constB147)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18586,plain,
% 7.52/5.66 (v113(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18585, 18584, 18552])).
% 7.52/5.66 tff(18587,plain,
% 7.52/5.66 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB147)) <=> v111(constB147))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18588,plain,
% 7.52/5.66 ((~v126(constB147)) <=> v111(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18587, 4118])).
% 7.52/5.66 tff(18589,plain,
% 7.52/5.66 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147) | v111(constB147)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18590,plain,
% 7.52/5.66 ((~((~v126(constB147)) <=> v111(constB147))) | v126(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18589, 13654])).
% 7.52/5.66 tff(18591,plain,
% 7.52/5.66 (v126(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18590, 18588])).
% 7.52/5.66 tff(18592,plain,
% 7.52/5.66 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147)) | (~v126(constB147))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18593,plain,
% 7.52/5.66 ((~((~v113(constB147)) | (~v126(constB147)))) | (~v113(constB147))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18592, 18591])).
% 7.52/5.66 tff(18594,plain,
% 7.52/5.66 (~((~v113(constB147)) | (~v126(constB147)))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18593, 18586])).
% 7.52/5.66 tff(18595,plain,
% 7.52/5.66 ((~(v112(constB147) <=> (~((~v113(constB147)) | (~v126(constB147)))))) | v112(constB147) | ((~v113(constB147)) | (~v126(constB147)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18596,plain,
% 7.52/5.66 (v112(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18595, 18594, 18550])).
% 7.52/5.66 tff(18597,plain,
% 7.52/5.66 ((v111(constB147) | v112(constB147)) | (~v112(constB147))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18598,plain,
% 7.52/5.66 (v111(constB147) | v112(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18597, 18596])).
% 7.52/5.66 tff(18599,plain,
% 7.52/5.66 ((~(v108(constB147) <=> (v111(constB147) | v112(constB147)))) | v108(constB147) | (~(v111(constB147) | v112(constB147)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18600,plain,
% 7.52/5.66 (v108(constB147)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18599, 18598, 18548])).
% 7.52/5.66 tff(18601,plain,
% 7.52/5.66 ((~(v110(constB148) <=> v108(constB147))) | v110(constB148) | (~v108(constB147))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18602,plain,
% 7.52/5.66 (v110(constB148)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18601, 18600, 18546])).
% 7.52/5.66 tff(18603,plain,
% 7.52/5.66 ((~((~v101(constB148)) | (~v110(constB148)))) | (~v101(constB148)) | (~v110(constB148))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18604,plain,
% 7.52/5.66 (~((~v101(constB148)) | (~v110(constB148)))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18603, 18602, 18542])).
% 7.52/5.66 tff(18605,plain,
% 7.52/5.66 ((~(v100(constB148) <=> (~((~v101(constB148)) | (~v110(constB148)))))) | v100(constB148) | ((~v101(constB148)) | (~v110(constB148)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18606,plain,
% 7.52/5.66 (v100(constB148)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18605, 18604, 18514])).
% 7.52/5.66 tff(18607,plain,
% 7.52/5.66 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.52/5.66 inference(rewrite,[status(thm)],[])).
% 7.52/5.66 tff(18608,plain,
% 7.52/5.66 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB148)) | (~(((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0)))))),
% 7.52/5.66 inference(quant_inst,[status(thm)],[])).
% 7.52/5.66 tff(18609,plain,
% 7.52/5.66 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB148)) | (~(((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))))),
% 7.52/5.66 inference(modus_ponens,[status(thm)],[18608, 18607])).
% 7.52/5.66 tff(18610,plain,
% 7.52/5.66 ((~v100(constB148)) | (~(((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18609, 4151])).
% 7.52/5.66 tff(18611,plain,
% 7.52/5.66 (~(((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0)))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18610, 18606])).
% 7.52/5.66 tff(18612,plain,
% 7.52/5.66 ((((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))) | (~((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18613,plain,
% 7.52/5.66 (~((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18612, 18611])).
% 7.52/5.66 tff(18614,plain,
% 7.52/5.66 (((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18615,plain,
% 7.52/5.66 (~v90(constB148, bitIndex2)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18614, 18613, 18510])).
% 7.52/5.66 tff(18616,plain,
% 7.52/5.66 (((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | (~v90(constB149, bitIndex2)) | v90(constB148, bitIndex2)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18617,plain,
% 7.52/5.66 (~v90(constB149, bitIndex2)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18616, 18615, 13638])).
% 7.52/5.66 tff(18618,plain,
% 7.52/5.66 ((((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))) | (~((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18619,plain,
% 7.52/5.66 (~((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18618, 13636])).
% 7.52/5.66 tff(18620,plain,
% 7.52/5.66 ((((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0))) | (~((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18621,plain,
% 7.52/5.66 (~((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18620, 13645])).
% 7.52/5.66 tff(18622,plain,
% 7.52/5.66 ((((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1))) | (~((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18623,plain,
% 7.52/5.66 (~((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18622, 13659])).
% 7.52/5.66 tff(18624,plain,
% 7.52/5.66 ((v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1))) | (~v130(constB147, bitIndex0))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18625,plain,
% 7.52/5.66 (~v130(constB147, bitIndex0)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18624, 18504])).
% 7.52/5.66 tff(18626,plain,
% 7.52/5.66 (((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)) | (~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18627,plain,
% 7.52/5.66 (~v127(constB147, bitIndex0)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18626, 18625, 18623])).
% 7.52/5.66 tff(18628,plain,
% 7.52/5.66 (((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0)) | (~v129(constB148, bitIndex0)) | v127(constB147, bitIndex0)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18629,plain,
% 7.52/5.66 (~v129(constB148, bitIndex0)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18628, 18627, 18621])).
% 7.52/5.66 tff(18630,plain,
% 7.52/5.66 ((((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))) | (~((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18631,plain,
% 7.52/5.66 (~((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18630, 18611])).
% 7.52/5.66 tff(18632,plain,
% 7.52/5.66 (((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0)) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18633,plain,
% 7.52/5.66 (~v90(constB148, bitIndex0)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18632, 18631, 18629])).
% 7.52/5.66 tff(18634,plain,
% 7.52/5.66 (((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0)) | (~v90(constB149, bitIndex0)) | v90(constB148, bitIndex0)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18635,plain,
% 7.52/5.66 (~v90(constB149, bitIndex0)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18634, 18633, 18619])).
% 7.52/5.66 tff(18636,plain,
% 7.52/5.66 ((((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | ((~v90(constB149, bitIndex2)) <=> v90(constB148, bitIndex2)) | ((~v90(constB149, bitIndex0)) <=> v90(constB148, bitIndex0))) | (~((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18637,plain,
% 7.52/5.66 (~((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18636, 13636])).
% 7.52/5.66 tff(18638,plain,
% 7.52/5.66 ((((~v129(constB148, bitIndex2)) <=> v127(constB147, bitIndex2)) | ((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | ((~v129(constB148, bitIndex0)) <=> v127(constB147, bitIndex0))) | (~((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18639,plain,
% 7.52/5.66 (~((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18638, 13645])).
% 7.52/5.66 tff(18640,plain,
% 7.52/5.66 ((((~v127(constB147, bitIndex2)) <=> v130(constB147, bitIndex2)) | ((~v127(constB147, bitIndex0)) <=> v130(constB147, bitIndex0)) | ((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1))) | (~((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18641,plain,
% 7.52/5.66 (~((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18640, 13659])).
% 7.52/5.66 tff(18642,plain,
% 7.52/5.66 ((v130(constB147, bitIndex2) | v130(constB147, bitIndex0) | (~v130(constB147, bitIndex1))) | v130(constB147, bitIndex1)),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18643,plain,
% 7.52/5.66 (v130(constB147, bitIndex1)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18642, 18504])).
% 7.52/5.66 tff(18644,plain,
% 7.52/5.66 (((~v127(constB147, bitIndex1)) <=> v130(constB147, bitIndex1)) | v127(constB147, bitIndex1) | (~v130(constB147, bitIndex1))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18645,plain,
% 7.52/5.66 (v127(constB147, bitIndex1)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18644, 18643, 18641])).
% 7.52/5.66 tff(18646,plain,
% 7.52/5.66 (((~v129(constB148, bitIndex1)) <=> v127(constB147, bitIndex1)) | v129(constB148, bitIndex1) | (~v127(constB147, bitIndex1))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18647,plain,
% 7.52/5.66 (v129(constB148, bitIndex1)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18646, 18645, 18639])).
% 7.52/5.66 tff(18648,plain,
% 7.52/5.66 ((((~v90(constB148, bitIndex2)) <=> v129(constB148, bitIndex2)) | ((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | ((~v90(constB148, bitIndex0)) <=> v129(constB148, bitIndex0))) | (~((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18649,plain,
% 7.52/5.66 (~((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18648, 18611])).
% 7.52/5.66 tff(18650,plain,
% 7.52/5.66 (((~v90(constB148, bitIndex1)) <=> v129(constB148, bitIndex1)) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18651,plain,
% 7.52/5.66 (v90(constB148, bitIndex1)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18650, 18649, 18647])).
% 7.52/5.66 tff(18652,plain,
% 7.52/5.66 (((~v90(constB149, bitIndex1)) <=> v90(constB148, bitIndex1)) | v90(constB149, bitIndex1) | (~v90(constB148, bitIndex1))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18653,plain,
% 7.52/5.66 (v90(constB149, bitIndex1)),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18652, 18651, 18637])).
% 7.52/5.66 tff(18654,plain,
% 7.52/5.66 ((~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))) | v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1))),
% 7.52/5.66 inference(tautology,[status(thm)],[])).
% 7.52/5.66 tff(18655,plain,
% 7.52/5.66 (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))),
% 7.52/5.66 inference(unit_resolution,[status(thm)],[18654, 18653, 18635, 18617])).
% 7.52/5.66 tff(18656,plain,
% 7.52/5.67 ((~(v121(constB149) <=> (~(v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))))) | v121(constB149) | (v90(constB149, bitIndex2) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18657,plain,
% 7.52/5.67 (v121(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18656, 18655, 13602])).
% 7.52/5.67 tff(18658,plain,
% 7.52/5.67 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex0)) | (~v130(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex0)) | (~v130(constB149, bitIndex1)))))),
% 7.52/5.67 inference(rewrite,[status(thm)],[])).
% 7.52/5.67 tff(18659,plain,
% 7.52/5.67 (((~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex1)) | (~v130(constB149, bitIndex0))))) <=> ((~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex0)) | (~v130(constB149, bitIndex1)))))),
% 7.52/5.67 inference(rewrite,[status(thm)],[])).
% 7.52/5.67 tff(18660,plain,
% 7.52/5.67 (((~![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, bitIndex0)) | (~v130(constB149, bitIndex1))))))),
% 7.52/5.67 inference(monotonicity,[status(thm)],[18659])).
% 7.52/5.67 tff(18661,plain,
% 7.52/5.67 (((~![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, bitIndex0)) | (~v130(constB149, bitIndex1)))))),
% 7.52/5.67 inference(transitivity,[status(thm)],[18660, 18658])).
% 7.52/5.67 tff(18662,plain,
% 7.52/5.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex1)) | (~v130(constB149, bitIndex0)))))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18663,plain,
% 7.52/5.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex0)) | (~v130(constB149, bitIndex1))))),
% 7.52/5.67 inference(modus_ponens,[status(thm)],[18662, 18661])).
% 7.52/5.67 tff(18664,plain,
% 7.52/5.67 ((~v121(constB149)) | (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex0)) | (~v130(constB149, bitIndex1))))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18663, 4392])).
% 7.52/5.67 tff(18665,plain,
% 7.52/5.67 (~(v130(constB149, bitIndex2) | (~v130(constB149, bitIndex0)) | (~v130(constB149, bitIndex1)))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18664, 18657])).
% 7.52/5.67 tff(18666,plain,
% 7.52/5.67 ((v130(constB149, bitIndex2) | (~v130(constB149, bitIndex0)) | (~v130(constB149, bitIndex1))) | (~v130(constB149, bitIndex2))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18667,plain,
% 7.52/5.67 (~v130(constB149, bitIndex2)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18666, 18665])).
% 7.52/5.67 tff(18668,plain,
% 7.52/5.67 (((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | (~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18669,plain,
% 7.52/5.67 (~v127(constB149, bitIndex2)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18668, 18667, 13595])).
% 7.52/5.67 tff(18670,plain,
% 7.52/5.67 (((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | (~v129(constB150, bitIndex2)) | v127(constB149, bitIndex2)),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18671,plain,
% 7.52/5.67 (~v129(constB150, bitIndex2)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18670, 18669, 13581])).
% 7.52/5.67 tff(18672,plain,
% 7.52/5.67 (((~![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))))))),
% 7.52/5.67 inference(rewrite,[status(thm)],[])).
% 7.52/5.67 tff(18673,plain,
% 7.52/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18674,plain,
% 7.52/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB149, constB150)) | (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))),
% 7.52/5.67 inference(modus_ponens,[status(thm)],[18673, 18672])).
% 7.52/5.67 tff(18675,plain,
% 7.52/5.67 (v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150))))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18674, 13575, 433])).
% 7.52/5.67 tff(18676,plain,
% 7.52/5.67 (((~![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))))))),
% 7.52/5.67 inference(rewrite,[status(thm)],[])).
% 7.52/5.67 tff(18677,plain,
% 7.52/5.67 (((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150)))))) <=> ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))))),
% 7.52/5.67 inference(rewrite,[status(thm)],[])).
% 7.52/5.67 tff(18678,plain,
% 7.52/5.67 (((~![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)))))))),
% 7.52/5.67 inference(monotonicity,[status(thm)],[18677])).
% 7.52/5.67 tff(18679,plain,
% 7.52/5.67 (((~![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))))))),
% 7.52/5.67 inference(transitivity,[status(thm)],[18678, 18676])).
% 7.52/5.67 tff(18680,plain,
% 7.52/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v102(constB150)) | (~v1(constB150))))))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18681,plain,
% 7.52/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))),
% 7.52/5.67 inference(modus_ponens,[status(thm)],[18680, 18679])).
% 7.52/5.67 tff(18682,plain,
% 7.52/5.67 (v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150))))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18681, 13575, 453])).
% 7.52/5.67 tff(18683,plain,
% 7.52/5.67 (((~![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)))),
% 7.52/5.67 inference(rewrite,[status(thm)],[])).
% 7.52/5.67 tff(18684,plain,
% 7.52/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150)))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18685,plain,
% 7.52/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB149, constB150)) | ((~v102(constB150)) <=> v104(constB150))),
% 7.52/5.67 inference(modus_ponens,[status(thm)],[18684, 18683])).
% 7.52/5.67 tff(18686,plain,
% 7.52/5.67 ((~v102(constB150)) <=> v104(constB150)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18685, 13575, 3966])).
% 7.52/5.67 tff(18687,plain,
% 7.52/5.67 (((~![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)))),
% 7.52/5.67 inference(rewrite,[status(thm)],[])).
% 7.52/5.67 tff(18688,plain,
% 7.52/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149)))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18689,plain,
% 7.52/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v1(constB149))),
% 7.52/5.67 inference(modus_ponens,[status(thm)],[18688, 18687])).
% 7.52/5.67 tff(18690,plain,
% 7.52/5.67 (v104(constB150) <=> v1(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18689, 13575, 3980])).
% 7.52/5.67 tff(18691,plain,
% 7.52/5.67 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150)) | v1(constB149)),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18692,plain,
% 7.52/5.67 ((~(v104(constB150) <=> v1(constB149))) | (~v104(constB150))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18691, 13619])).
% 7.52/5.67 tff(18693,plain,
% 7.52/5.67 (~v104(constB150)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18692, 18690])).
% 7.52/5.67 tff(18694,plain,
% 7.52/5.67 ((~((~v102(constB150)) <=> v104(constB150))) | v102(constB150) | v104(constB150)),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18695,plain,
% 7.52/5.67 (v102(constB150)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18694, 18693, 18686])).
% 7.52/5.67 tff(18696,plain,
% 7.52/5.67 (v1(constB150) <=> v1(constB150)),
% 7.52/5.67 inference(rewrite,[status(thm)],[])).
% 7.52/5.67 tff(18697,axiom,(v1(constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_150')).
% 7.52/5.67 tff(18698,plain,
% 7.52/5.67 (v1(constB150)),
% 7.52/5.67 inference(modus_ponens,[status(thm)],[18697, 18696])).
% 7.52/5.67 tff(18699,plain,
% 7.52/5.67 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v1(constB150)) | (~v102(constB150))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18700,plain,
% 7.52/5.67 ((~((~v1(constB150)) | (~v102(constB150)))) | (~v102(constB150))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18699, 18698])).
% 7.52/5.67 tff(18701,plain,
% 7.52/5.67 (~((~v1(constB150)) | (~v102(constB150)))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18700, 18695])).
% 7.52/5.67 tff(18702,plain,
% 7.52/5.67 ((~(v101(constB150) <=> (~((~v1(constB150)) | (~v102(constB150)))))) | v101(constB150) | ((~v1(constB150)) | (~v102(constB150)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18703,plain,
% 7.52/5.67 (v101(constB150)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18702, 18701, 18682])).
% 7.52/5.67 tff(18704,plain,
% 7.52/5.67 (((~![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)))),
% 7.52/5.67 inference(rewrite,[status(thm)],[])).
% 7.52/5.67 tff(18705,plain,
% 7.52/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149)))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18706,plain,
% 7.52/5.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB149, constB150)) | (v110(constB150) <=> v108(constB149))),
% 7.52/5.67 inference(modus_ponens,[status(thm)],[18705, 18704])).
% 7.52/5.67 tff(18707,plain,
% 7.52/5.67 (v110(constB150) <=> v108(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18706, 13575, 4007])).
% 7.52/5.67 tff(18708,plain,
% 7.52/5.67 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB149) <=> (v111(constB149) | v112(constB149)))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18709,plain,
% 7.52/5.67 (v108(constB149) <=> (v111(constB149) | v112(constB149))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18708, 4018])).
% 7.52/5.67 tff(18710,plain,
% 7.52/5.67 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18711,plain,
% 7.52/5.67 (v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149))))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18710, 4030])).
% 7.52/5.67 tff(18712,plain,
% 7.52/5.67 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB149) <=> (v114(constB149) | v125(constB149)))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18713,plain,
% 7.52/5.67 (v113(constB149) <=> (v114(constB149) | v125(constB149))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18712, 4039])).
% 7.52/5.67 tff(18714,plain,
% 7.52/5.67 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB149) <=> (v115(constB149) | v124(constB149)))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18715,plain,
% 7.52/5.67 (v114(constB149) <=> (v115(constB149) | v124(constB149))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18714, 4048])).
% 7.52/5.67 tff(18716,plain,
% 7.52/5.67 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB149) <=> (v116(constB149) | v123(constB149)))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18717,plain,
% 7.52/5.67 (v115(constB149) <=> (v116(constB149) | v123(constB149))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18716, 4057])).
% 7.52/5.67 tff(18718,plain,
% 7.52/5.67 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB149) <=> (v117(constB149) | v122(constB149)))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18719,plain,
% 7.52/5.67 (v116(constB149) <=> (v117(constB149) | v122(constB149))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18718, 4066])).
% 7.52/5.67 tff(18720,plain,
% 7.52/5.67 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB149) <=> (v118(constB149) | v121(constB149)))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18721,plain,
% 7.52/5.67 (v117(constB149) <=> (v118(constB149) | v121(constB149))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18720, 4075])).
% 7.52/5.67 tff(18722,plain,
% 7.52/5.67 ((v118(constB149) | v121(constB149)) | (~v121(constB149))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18723,plain,
% 7.52/5.67 (v118(constB149) | v121(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18722, 18657])).
% 7.52/5.67 tff(18724,plain,
% 7.52/5.67 ((~(v117(constB149) <=> (v118(constB149) | v121(constB149)))) | v117(constB149) | (~(v118(constB149) | v121(constB149)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18725,plain,
% 7.52/5.67 (v117(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18724, 18723, 18721])).
% 7.52/5.67 tff(18726,plain,
% 7.52/5.67 ((v117(constB149) | v122(constB149)) | (~v117(constB149))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18727,plain,
% 7.52/5.67 (v117(constB149) | v122(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18726, 18725])).
% 7.52/5.67 tff(18728,plain,
% 7.52/5.67 ((~(v116(constB149) <=> (v117(constB149) | v122(constB149)))) | v116(constB149) | (~(v117(constB149) | v122(constB149)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18729,plain,
% 7.52/5.67 (v116(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18728, 18727, 18719])).
% 7.52/5.67 tff(18730,plain,
% 7.52/5.67 ((v116(constB149) | v123(constB149)) | (~v116(constB149))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18731,plain,
% 7.52/5.67 (v116(constB149) | v123(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18730, 18729])).
% 7.52/5.67 tff(18732,plain,
% 7.52/5.67 ((~(v115(constB149) <=> (v116(constB149) | v123(constB149)))) | v115(constB149) | (~(v116(constB149) | v123(constB149)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18733,plain,
% 7.52/5.67 (v115(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18732, 18731, 18717])).
% 7.52/5.67 tff(18734,plain,
% 7.52/5.67 ((v115(constB149) | v124(constB149)) | (~v115(constB149))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18735,plain,
% 7.52/5.67 (v115(constB149) | v124(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18734, 18733])).
% 7.52/5.67 tff(18736,plain,
% 7.52/5.67 ((~(v114(constB149) <=> (v115(constB149) | v124(constB149)))) | v114(constB149) | (~(v115(constB149) | v124(constB149)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18737,plain,
% 7.52/5.67 (v114(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18736, 18735, 18715])).
% 7.52/5.67 tff(18738,plain,
% 7.52/5.67 ((v114(constB149) | v125(constB149)) | (~v114(constB149))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18739,plain,
% 7.52/5.67 (v114(constB149) | v125(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18738, 18737])).
% 7.52/5.67 tff(18740,plain,
% 7.52/5.67 ((~(v113(constB149) <=> (v114(constB149) | v125(constB149)))) | v113(constB149) | (~(v114(constB149) | v125(constB149)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18741,plain,
% 7.52/5.67 (v113(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18740, 18739, 18713])).
% 7.52/5.67 tff(18742,plain,
% 7.52/5.67 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB149)) <=> v111(constB149))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18743,plain,
% 7.52/5.67 ((~v126(constB149)) <=> v111(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18742, 4118])).
% 7.52/5.67 tff(18744,plain,
% 7.52/5.67 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149) | v111(constB149)),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18745,plain,
% 7.52/5.67 ((~((~v126(constB149)) <=> v111(constB149))) | v126(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18744, 13588])).
% 7.52/5.67 tff(18746,plain,
% 7.52/5.67 (v126(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18745, 18743])).
% 7.52/5.67 tff(18747,plain,
% 7.52/5.67 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149)) | (~v126(constB149))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18748,plain,
% 7.52/5.67 ((~((~v113(constB149)) | (~v126(constB149)))) | (~v113(constB149))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18747, 18746])).
% 7.52/5.67 tff(18749,plain,
% 7.52/5.67 (~((~v113(constB149)) | (~v126(constB149)))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18748, 18741])).
% 7.52/5.67 tff(18750,plain,
% 7.52/5.67 ((~(v112(constB149) <=> (~((~v113(constB149)) | (~v126(constB149)))))) | v112(constB149) | ((~v113(constB149)) | (~v126(constB149)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18751,plain,
% 7.52/5.67 (v112(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18750, 18749, 18711])).
% 7.52/5.67 tff(18752,plain,
% 7.52/5.67 ((v111(constB149) | v112(constB149)) | (~v112(constB149))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18753,plain,
% 7.52/5.67 (v111(constB149) | v112(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18752, 18751])).
% 7.52/5.67 tff(18754,plain,
% 7.52/5.67 ((~(v108(constB149) <=> (v111(constB149) | v112(constB149)))) | v108(constB149) | (~(v111(constB149) | v112(constB149)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18755,plain,
% 7.52/5.67 (v108(constB149)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18754, 18753, 18709])).
% 7.52/5.67 tff(18756,plain,
% 7.52/5.67 ((~(v110(constB150) <=> v108(constB149))) | v110(constB150) | (~v108(constB149))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18757,plain,
% 7.52/5.67 (v110(constB150)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18756, 18755, 18707])).
% 7.52/5.67 tff(18758,plain,
% 7.52/5.67 ((~((~v101(constB150)) | (~v110(constB150)))) | (~v101(constB150)) | (~v110(constB150))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18759,plain,
% 7.52/5.67 (~((~v101(constB150)) | (~v110(constB150)))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18758, 18757, 18703])).
% 7.52/5.67 tff(18760,plain,
% 7.52/5.67 ((~(v100(constB150) <=> (~((~v101(constB150)) | (~v110(constB150)))))) | v100(constB150) | ((~v101(constB150)) | (~v110(constB150)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18761,plain,
% 7.52/5.67 (v100(constB150)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18760, 18759, 18675])).
% 7.52/5.67 tff(18762,plain,
% 7.52/5.67 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.52/5.67 inference(rewrite,[status(thm)],[])).
% 7.52/5.67 tff(18763,plain,
% 7.52/5.67 (((~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)))))),
% 7.52/5.67 inference(rewrite,[status(thm)],[])).
% 7.52/5.67 tff(18764,plain,
% 7.52/5.67 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 7.52/5.67 inference(monotonicity,[status(thm)],[18763])).
% 7.52/5.67 tff(18765,plain,
% 7.52/5.67 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.52/5.67 inference(transitivity,[status(thm)],[18764, 18762])).
% 7.52/5.67 tff(18766,plain,
% 7.52/5.67 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB150)) | (~(((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)) | ((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)))))),
% 7.52/5.67 inference(quant_inst,[status(thm)],[])).
% 7.52/5.67 tff(18767,plain,
% 7.52/5.67 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB150)) | (~(((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))))),
% 7.52/5.67 inference(modus_ponens,[status(thm)],[18766, 18765])).
% 7.52/5.67 tff(18768,plain,
% 7.52/5.67 ((~v100(constB150)) | (~(((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18767, 4151])).
% 7.52/5.67 tff(18769,plain,
% 7.52/5.67 (~(((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18768, 18761])).
% 7.52/5.67 tff(18770,plain,
% 7.52/5.67 ((((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))) | (~((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18771,plain,
% 7.52/5.67 (~((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18770, 18769])).
% 7.52/5.67 tff(18772,plain,
% 7.52/5.67 (((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2)),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18773,plain,
% 7.52/5.67 (~v90(constB150, bitIndex2)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18772, 18771, 18671])).
% 7.52/5.67 tff(18774,plain,
% 7.52/5.67 (((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | (~v90(constB151, bitIndex2)) | v90(constB150, bitIndex2)),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18775,plain,
% 7.52/5.67 (~v90(constB151, bitIndex2)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18774, 18773, 13572])).
% 7.52/5.67 tff(18776,plain,
% 7.52/5.67 ((((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))) | (~((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18777,plain,
% 7.52/5.67 (~((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18776, 13570])).
% 7.52/5.67 tff(18778,plain,
% 7.52/5.67 ((((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0))) | (~((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18779,plain,
% 7.52/5.67 (~((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18778, 13579])).
% 7.52/5.67 tff(18780,plain,
% 7.52/5.67 ((((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1))) | (~((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18781,plain,
% 7.52/5.67 (~((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18780, 13593])).
% 7.52/5.67 tff(18782,plain,
% 7.52/5.67 ((v130(constB149, bitIndex2) | (~v130(constB149, bitIndex0)) | (~v130(constB149, bitIndex1))) | v130(constB149, bitIndex0)),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18783,plain,
% 7.52/5.67 (v130(constB149, bitIndex0)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18782, 18665])).
% 7.52/5.67 tff(18784,plain,
% 7.52/5.67 (((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)) | v127(constB149, bitIndex0) | (~v130(constB149, bitIndex0))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18785,plain,
% 7.52/5.67 (v127(constB149, bitIndex0)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18784, 18783, 18781])).
% 7.52/5.67 tff(18786,plain,
% 7.52/5.67 (((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0)) | v129(constB150, bitIndex0) | (~v127(constB149, bitIndex0))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18787,plain,
% 7.52/5.67 (v129(constB150, bitIndex0)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18786, 18785, 18779])).
% 7.52/5.67 tff(18788,plain,
% 7.52/5.67 ((((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))) | (~((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18789,plain,
% 7.52/5.67 (~((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18788, 18769])).
% 7.52/5.67 tff(18790,plain,
% 7.52/5.67 (((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18791,plain,
% 7.52/5.67 (v90(constB150, bitIndex0)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18790, 18789, 18787])).
% 7.52/5.67 tff(18792,plain,
% 7.52/5.67 (((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0)) | v90(constB151, bitIndex0) | (~v90(constB150, bitIndex0))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18793,plain,
% 7.52/5.67 (v90(constB151, bitIndex0)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18792, 18791, 18777])).
% 7.52/5.67 tff(18794,plain,
% 7.52/5.67 ((((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | ((~v90(constB151, bitIndex2)) <=> v90(constB150, bitIndex2)) | ((~v90(constB151, bitIndex0)) <=> v90(constB150, bitIndex0))) | (~((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18795,plain,
% 7.52/5.67 (~((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18794, 13570])).
% 7.52/5.67 tff(18796,plain,
% 7.52/5.67 ((((~v129(constB150, bitIndex2)) <=> v127(constB149, bitIndex2)) | ((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | ((~v129(constB150, bitIndex0)) <=> v127(constB149, bitIndex0))) | (~((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18797,plain,
% 7.52/5.67 (~((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18796, 13579])).
% 7.52/5.67 tff(18798,plain,
% 7.52/5.67 ((((~v127(constB149, bitIndex2)) <=> v130(constB149, bitIndex2)) | ((~v127(constB149, bitIndex0)) <=> v130(constB149, bitIndex0)) | ((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1))) | (~((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18799,plain,
% 7.52/5.67 (~((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18798, 13593])).
% 7.52/5.67 tff(18800,plain,
% 7.52/5.67 ((v130(constB149, bitIndex2) | (~v130(constB149, bitIndex0)) | (~v130(constB149, bitIndex1))) | v130(constB149, bitIndex1)),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18801,plain,
% 7.52/5.67 (v130(constB149, bitIndex1)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18800, 18665])).
% 7.52/5.67 tff(18802,plain,
% 7.52/5.67 (((~v127(constB149, bitIndex1)) <=> v130(constB149, bitIndex1)) | v127(constB149, bitIndex1) | (~v130(constB149, bitIndex1))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18803,plain,
% 7.52/5.67 (v127(constB149, bitIndex1)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18802, 18801, 18799])).
% 7.52/5.67 tff(18804,plain,
% 7.52/5.67 (((~v129(constB150, bitIndex1)) <=> v127(constB149, bitIndex1)) | v129(constB150, bitIndex1) | (~v127(constB149, bitIndex1))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18805,plain,
% 7.52/5.67 (v129(constB150, bitIndex1)),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18804, 18803, 18797])).
% 7.52/5.67 tff(18806,plain,
% 7.52/5.67 ((((~v90(constB150, bitIndex0)) <=> v129(constB150, bitIndex0)) | ((~v90(constB150, bitIndex2)) <=> v129(constB150, bitIndex2)) | ((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))) | (~((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)))),
% 7.52/5.67 inference(tautology,[status(thm)],[])).
% 7.52/5.67 tff(18807,plain,
% 7.52/5.67 (~((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1))),
% 7.52/5.67 inference(unit_resolution,[status(thm)],[18806, 18769])).
% 7.52/5.67 tff(18808,plain,
% 7.52/5.67 (((~v90(constB150, bitIndex1)) <=> v129(constB150, bitIndex1)) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18809,plain,
% 7.52/5.68 (v90(constB150, bitIndex1)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18808, 18807, 18805])).
% 7.52/5.68 tff(18810,plain,
% 7.52/5.68 (((~v90(constB151, bitIndex1)) <=> v90(constB150, bitIndex1)) | v90(constB151, bitIndex1) | (~v90(constB150, bitIndex1))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18811,plain,
% 7.52/5.68 (v90(constB151, bitIndex1)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18810, 18809, 18795])).
% 7.52/5.68 tff(18812,plain,
% 7.52/5.68 ((~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))) | v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18813,plain,
% 7.52/5.68 (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18812, 18811, 18793, 18775])).
% 7.52/5.68 tff(18814,plain,
% 7.52/5.68 ((~(v122(constB151) <=> (~(v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))))) | v122(constB151) | (v90(constB151, bitIndex2) | (~v90(constB151, bitIndex1)) | (~v90(constB151, bitIndex0)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18815,plain,
% 7.52/5.68 (v122(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18814, 18813, 13536])).
% 7.52/5.68 tff(18816,plain,
% 7.52/5.68 (((~![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, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2)))))),
% 7.52/5.68 inference(rewrite,[status(thm)],[])).
% 7.52/5.68 tff(18817,plain,
% 7.52/5.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB151)) | (~(v130(constB151, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2)))))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18818,plain,
% 7.52/5.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB151)) | (~(v130(constB151, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2))))),
% 7.52/5.68 inference(modus_ponens,[status(thm)],[18817, 18816])).
% 7.52/5.68 tff(18819,plain,
% 7.52/5.68 ((~v122(constB151)) | (~(v130(constB151, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2))))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18818, 4563])).
% 7.52/5.68 tff(18820,plain,
% 7.52/5.68 (~(v130(constB151, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2)))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18819, 18815])).
% 7.52/5.68 tff(18821,plain,
% 7.52/5.68 ((v130(constB151, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2))) | v130(constB151, bitIndex2)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18822,plain,
% 7.52/5.68 (v130(constB151, bitIndex2)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18821, 18820])).
% 7.52/5.68 tff(18823,plain,
% 7.52/5.68 (((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | v127(constB151, bitIndex2) | (~v130(constB151, bitIndex2))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18824,plain,
% 7.52/5.68 (v127(constB151, bitIndex2)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18823, 18822, 13529])).
% 7.52/5.68 tff(18825,plain,
% 7.52/5.68 (((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | v129(constB152, bitIndex2) | (~v127(constB151, bitIndex2))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18826,plain,
% 7.52/5.68 (v129(constB152, bitIndex2)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18825, 18824, 13515])).
% 7.52/5.68 tff(18827,plain,
% 7.52/5.68 (((~![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))))))),
% 7.52/5.68 inference(rewrite,[status(thm)],[])).
% 7.52/5.68 tff(18828,plain,
% 7.52/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18829,plain,
% 7.52/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB151, constB152)) | (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))),
% 7.52/5.68 inference(modus_ponens,[status(thm)],[18828, 18827])).
% 7.52/5.68 tff(18830,plain,
% 7.52/5.68 (v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152))))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18829, 13509, 433])).
% 7.52/5.68 tff(18831,plain,
% 7.52/5.68 (((~![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))))))),
% 7.52/5.68 inference(rewrite,[status(thm)],[])).
% 7.52/5.68 tff(18832,plain,
% 7.52/5.68 (((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152)))))) <=> ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))))),
% 7.52/5.68 inference(rewrite,[status(thm)],[])).
% 7.52/5.68 tff(18833,plain,
% 7.52/5.68 (((~![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)))))))),
% 7.52/5.68 inference(monotonicity,[status(thm)],[18832])).
% 7.52/5.68 tff(18834,plain,
% 7.52/5.68 (((~![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))))))),
% 7.52/5.68 inference(transitivity,[status(thm)],[18833, 18831])).
% 7.52/5.68 tff(18835,plain,
% 7.52/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v102(constB152)) | (~v1(constB152))))))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18836,plain,
% 7.52/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))),
% 7.52/5.68 inference(modus_ponens,[status(thm)],[18835, 18834])).
% 7.52/5.68 tff(18837,plain,
% 7.52/5.68 (v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152))))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18836, 13509, 453])).
% 7.52/5.68 tff(18838,plain,
% 7.52/5.68 (((~![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)))),
% 7.52/5.68 inference(rewrite,[status(thm)],[])).
% 7.52/5.68 tff(18839,plain,
% 7.52/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152)))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18840,plain,
% 7.52/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB151, constB152)) | ((~v102(constB152)) <=> v104(constB152))),
% 7.52/5.68 inference(modus_ponens,[status(thm)],[18839, 18838])).
% 7.52/5.68 tff(18841,plain,
% 7.52/5.68 ((~v102(constB152)) <=> v104(constB152)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18840, 13509, 3966])).
% 7.52/5.68 tff(18842,plain,
% 7.52/5.68 (((~![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)))),
% 7.52/5.68 inference(rewrite,[status(thm)],[])).
% 7.52/5.68 tff(18843,plain,
% 7.52/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151)))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18844,plain,
% 7.52/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v1(constB151))),
% 7.52/5.68 inference(modus_ponens,[status(thm)],[18843, 18842])).
% 7.52/5.68 tff(18845,plain,
% 7.52/5.68 (v104(constB152) <=> v1(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18844, 13509, 3980])).
% 7.52/5.68 tff(18846,plain,
% 7.52/5.68 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152)) | v1(constB151)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18847,plain,
% 7.52/5.68 ((~(v104(constB152) <=> v1(constB151))) | (~v104(constB152))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18846, 13553])).
% 7.52/5.68 tff(18848,plain,
% 7.52/5.68 (~v104(constB152)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18847, 18845])).
% 7.52/5.68 tff(18849,plain,
% 7.52/5.68 ((~((~v102(constB152)) <=> v104(constB152))) | v102(constB152) | v104(constB152)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18850,plain,
% 7.52/5.68 (v102(constB152)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18849, 18848, 18841])).
% 7.52/5.68 tff(18851,plain,
% 7.52/5.68 (v1(constB152) <=> v1(constB152)),
% 7.52/5.68 inference(rewrite,[status(thm)],[])).
% 7.52/5.68 tff(18852,axiom,(v1(constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_152')).
% 7.52/5.68 tff(18853,plain,
% 7.52/5.68 (v1(constB152)),
% 7.52/5.68 inference(modus_ponens,[status(thm)],[18852, 18851])).
% 7.52/5.68 tff(18854,plain,
% 7.52/5.68 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v1(constB152)) | (~v102(constB152))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18855,plain,
% 7.52/5.68 ((~((~v1(constB152)) | (~v102(constB152)))) | (~v102(constB152))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18854, 18853])).
% 7.52/5.68 tff(18856,plain,
% 7.52/5.68 (~((~v1(constB152)) | (~v102(constB152)))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18855, 18850])).
% 7.52/5.68 tff(18857,plain,
% 7.52/5.68 ((~(v101(constB152) <=> (~((~v1(constB152)) | (~v102(constB152)))))) | v101(constB152) | ((~v1(constB152)) | (~v102(constB152)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18858,plain,
% 7.52/5.68 (v101(constB152)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18857, 18856, 18837])).
% 7.52/5.68 tff(18859,plain,
% 7.52/5.68 (((~![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)))),
% 7.52/5.68 inference(rewrite,[status(thm)],[])).
% 7.52/5.68 tff(18860,plain,
% 7.52/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151)))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18861,plain,
% 7.52/5.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB151, constB152)) | (v110(constB152) <=> v108(constB151))),
% 7.52/5.68 inference(modus_ponens,[status(thm)],[18860, 18859])).
% 7.52/5.68 tff(18862,plain,
% 7.52/5.68 (v110(constB152) <=> v108(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18861, 13509, 4007])).
% 7.52/5.68 tff(18863,plain,
% 7.52/5.68 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB151) <=> (v111(constB151) | v112(constB151)))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18864,plain,
% 7.52/5.68 (v108(constB151) <=> (v111(constB151) | v112(constB151))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18863, 4018])).
% 7.52/5.68 tff(18865,plain,
% 7.52/5.68 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18866,plain,
% 7.52/5.68 (v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151))))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18865, 4030])).
% 7.52/5.68 tff(18867,plain,
% 7.52/5.68 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB151) <=> (v114(constB151) | v125(constB151)))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18868,plain,
% 7.52/5.68 (v113(constB151) <=> (v114(constB151) | v125(constB151))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18867, 4039])).
% 7.52/5.68 tff(18869,plain,
% 7.52/5.68 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB151) <=> (v115(constB151) | v124(constB151)))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18870,plain,
% 7.52/5.68 (v114(constB151) <=> (v115(constB151) | v124(constB151))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18869, 4048])).
% 7.52/5.68 tff(18871,plain,
% 7.52/5.68 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB151) <=> (v116(constB151) | v123(constB151)))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18872,plain,
% 7.52/5.68 (v115(constB151) <=> (v116(constB151) | v123(constB151))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18871, 4057])).
% 7.52/5.68 tff(18873,plain,
% 7.52/5.68 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB151) <=> (v117(constB151) | v122(constB151)))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18874,plain,
% 7.52/5.68 (v116(constB151) <=> (v117(constB151) | v122(constB151))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18873, 4066])).
% 7.52/5.68 tff(18875,plain,
% 7.52/5.68 ((v117(constB151) | v122(constB151)) | (~v122(constB151))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18876,plain,
% 7.52/5.68 (v117(constB151) | v122(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18875, 18815])).
% 7.52/5.68 tff(18877,plain,
% 7.52/5.68 ((~(v116(constB151) <=> (v117(constB151) | v122(constB151)))) | v116(constB151) | (~(v117(constB151) | v122(constB151)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18878,plain,
% 7.52/5.68 (v116(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18877, 18876, 18874])).
% 7.52/5.68 tff(18879,plain,
% 7.52/5.68 ((v116(constB151) | v123(constB151)) | (~v116(constB151))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18880,plain,
% 7.52/5.68 (v116(constB151) | v123(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18879, 18878])).
% 7.52/5.68 tff(18881,plain,
% 7.52/5.68 ((~(v115(constB151) <=> (v116(constB151) | v123(constB151)))) | v115(constB151) | (~(v116(constB151) | v123(constB151)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18882,plain,
% 7.52/5.68 (v115(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18881, 18880, 18872])).
% 7.52/5.68 tff(18883,plain,
% 7.52/5.68 ((v115(constB151) | v124(constB151)) | (~v115(constB151))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18884,plain,
% 7.52/5.68 (v115(constB151) | v124(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18883, 18882])).
% 7.52/5.68 tff(18885,plain,
% 7.52/5.68 ((~(v114(constB151) <=> (v115(constB151) | v124(constB151)))) | v114(constB151) | (~(v115(constB151) | v124(constB151)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18886,plain,
% 7.52/5.68 (v114(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18885, 18884, 18870])).
% 7.52/5.68 tff(18887,plain,
% 7.52/5.68 ((v114(constB151) | v125(constB151)) | (~v114(constB151))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18888,plain,
% 7.52/5.68 (v114(constB151) | v125(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18887, 18886])).
% 7.52/5.68 tff(18889,plain,
% 7.52/5.68 ((~(v113(constB151) <=> (v114(constB151) | v125(constB151)))) | v113(constB151) | (~(v114(constB151) | v125(constB151)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18890,plain,
% 7.52/5.68 (v113(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18889, 18888, 18868])).
% 7.52/5.68 tff(18891,plain,
% 7.52/5.68 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB151)) <=> v111(constB151))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18892,plain,
% 7.52/5.68 ((~v126(constB151)) <=> v111(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18891, 4118])).
% 7.52/5.68 tff(18893,plain,
% 7.52/5.68 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151) | v111(constB151)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18894,plain,
% 7.52/5.68 ((~((~v126(constB151)) <=> v111(constB151))) | v126(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18893, 13522])).
% 7.52/5.68 tff(18895,plain,
% 7.52/5.68 (v126(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18894, 18892])).
% 7.52/5.68 tff(18896,plain,
% 7.52/5.68 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151)) | (~v126(constB151))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18897,plain,
% 7.52/5.68 ((~((~v113(constB151)) | (~v126(constB151)))) | (~v113(constB151))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18896, 18895])).
% 7.52/5.68 tff(18898,plain,
% 7.52/5.68 (~((~v113(constB151)) | (~v126(constB151)))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18897, 18890])).
% 7.52/5.68 tff(18899,plain,
% 7.52/5.68 ((~(v112(constB151) <=> (~((~v113(constB151)) | (~v126(constB151)))))) | v112(constB151) | ((~v113(constB151)) | (~v126(constB151)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18900,plain,
% 7.52/5.68 (v112(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18899, 18898, 18866])).
% 7.52/5.68 tff(18901,plain,
% 7.52/5.68 ((v111(constB151) | v112(constB151)) | (~v112(constB151))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18902,plain,
% 7.52/5.68 (v111(constB151) | v112(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18901, 18900])).
% 7.52/5.68 tff(18903,plain,
% 7.52/5.68 ((~(v108(constB151) <=> (v111(constB151) | v112(constB151)))) | v108(constB151) | (~(v111(constB151) | v112(constB151)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18904,plain,
% 7.52/5.68 (v108(constB151)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18903, 18902, 18864])).
% 7.52/5.68 tff(18905,plain,
% 7.52/5.68 ((~(v110(constB152) <=> v108(constB151))) | v110(constB152) | (~v108(constB151))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18906,plain,
% 7.52/5.68 (v110(constB152)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18905, 18904, 18862])).
% 7.52/5.68 tff(18907,plain,
% 7.52/5.68 ((~((~v101(constB152)) | (~v110(constB152)))) | (~v101(constB152)) | (~v110(constB152))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18908,plain,
% 7.52/5.68 (~((~v101(constB152)) | (~v110(constB152)))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18907, 18906, 18858])).
% 7.52/5.68 tff(18909,plain,
% 7.52/5.68 ((~(v100(constB152) <=> (~((~v101(constB152)) | (~v110(constB152)))))) | v100(constB152) | ((~v101(constB152)) | (~v110(constB152)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18910,plain,
% 7.52/5.68 (v100(constB152)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18909, 18908, 18830])).
% 7.52/5.68 tff(18911,plain,
% 7.52/5.68 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.52/5.68 inference(rewrite,[status(thm)],[])).
% 7.52/5.68 tff(18912,plain,
% 7.52/5.68 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB152)) | (~(((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0)))))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18913,plain,
% 7.52/5.68 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB152)) | (~(((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))))),
% 7.52/5.68 inference(modus_ponens,[status(thm)],[18912, 18911])).
% 7.52/5.68 tff(18914,plain,
% 7.52/5.68 ((~v100(constB152)) | (~(((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18913, 4151])).
% 7.52/5.68 tff(18915,plain,
% 7.52/5.68 (~(((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0)))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18914, 18910])).
% 7.52/5.68 tff(18916,plain,
% 7.52/5.68 ((((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))) | (~((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18917,plain,
% 7.52/5.68 (~((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18916, 18915])).
% 7.52/5.68 tff(18918,plain,
% 7.52/5.68 (((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18919,plain,
% 7.52/5.68 (v90(constB152, bitIndex2)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18918, 18917, 18826])).
% 7.52/5.68 tff(18920,plain,
% 7.52/5.68 (((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | v90(constB153, bitIndex2) | (~v90(constB152, bitIndex2))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18921,plain,
% 7.52/5.68 (v90(constB153, bitIndex2)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18920, 18919, 13506])).
% 7.52/5.68 tff(18922,plain,
% 7.52/5.68 ((((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))) | (~((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18923,plain,
% 7.52/5.68 (~((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18922, 13504])).
% 7.52/5.68 tff(18924,plain,
% 7.52/5.68 ((((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0))) | (~((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18925,plain,
% 7.52/5.68 (~((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18924, 13513])).
% 7.52/5.68 tff(18926,plain,
% 7.52/5.68 ((((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1))) | (~((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18927,plain,
% 7.52/5.68 (~((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18926, 13527])).
% 7.52/5.68 tff(18928,plain,
% 7.52/5.68 ((v130(constB151, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2))) | (~v130(constB151, bitIndex0))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18929,plain,
% 7.52/5.68 (~v130(constB151, bitIndex0)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18928, 18820])).
% 7.52/5.68 tff(18930,plain,
% 7.52/5.68 (((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)) | (~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18931,plain,
% 7.52/5.68 (~v127(constB151, bitIndex0)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18930, 18929, 18927])).
% 7.52/5.68 tff(18932,plain,
% 7.52/5.68 (((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0)) | (~v129(constB152, bitIndex0)) | v127(constB151, bitIndex0)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18933,plain,
% 7.52/5.68 (~v129(constB152, bitIndex0)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18932, 18931, 18925])).
% 7.52/5.68 tff(18934,plain,
% 7.52/5.68 ((((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))) | (~((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18935,plain,
% 7.52/5.68 (~((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18934, 18915])).
% 7.52/5.68 tff(18936,plain,
% 7.52/5.68 (((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0)) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18937,plain,
% 7.52/5.68 (~v90(constB152, bitIndex0)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18936, 18935, 18933])).
% 7.52/5.68 tff(18938,plain,
% 7.52/5.68 (((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0)) | (~v90(constB153, bitIndex0)) | v90(constB152, bitIndex0)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18939,plain,
% 7.52/5.68 (~v90(constB153, bitIndex0)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18938, 18937, 18923])).
% 7.52/5.68 tff(18940,plain,
% 7.52/5.68 ((((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | ((~v90(constB153, bitIndex2)) <=> v90(constB152, bitIndex2)) | ((~v90(constB153, bitIndex0)) <=> v90(constB152, bitIndex0))) | (~((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18941,plain,
% 7.52/5.68 (~((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18940, 13504])).
% 7.52/5.68 tff(18942,plain,
% 7.52/5.68 ((((~v129(constB152, bitIndex2)) <=> v127(constB151, bitIndex2)) | ((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | ((~v129(constB152, bitIndex0)) <=> v127(constB151, bitIndex0))) | (~((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18943,plain,
% 7.52/5.68 (~((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18942, 13513])).
% 7.52/5.68 tff(18944,plain,
% 7.52/5.68 ((((~v127(constB151, bitIndex2)) <=> v130(constB151, bitIndex2)) | ((~v127(constB151, bitIndex0)) <=> v130(constB151, bitIndex0)) | ((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1))) | (~((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18945,plain,
% 7.52/5.68 (~((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18944, 13527])).
% 7.52/5.68 tff(18946,plain,
% 7.52/5.68 ((v130(constB151, bitIndex0) | v130(constB151, bitIndex1) | (~v130(constB151, bitIndex2))) | (~v130(constB151, bitIndex1))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18947,plain,
% 7.52/5.68 (~v130(constB151, bitIndex1)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18946, 18820])).
% 7.52/5.68 tff(18948,plain,
% 7.52/5.68 (((~v127(constB151, bitIndex1)) <=> v130(constB151, bitIndex1)) | (~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18949,plain,
% 7.52/5.68 (~v127(constB151, bitIndex1)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18948, 18947, 18945])).
% 7.52/5.68 tff(18950,plain,
% 7.52/5.68 (((~v129(constB152, bitIndex1)) <=> v127(constB151, bitIndex1)) | (~v129(constB152, bitIndex1)) | v127(constB151, bitIndex1)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18951,plain,
% 7.52/5.68 (~v129(constB152, bitIndex1)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18950, 18949, 18943])).
% 7.52/5.68 tff(18952,plain,
% 7.52/5.68 ((((~v90(constB152, bitIndex2)) <=> v129(constB152, bitIndex2)) | ((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | ((~v90(constB152, bitIndex0)) <=> v129(constB152, bitIndex0))) | (~((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18953,plain,
% 7.52/5.68 (~((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18952, 18915])).
% 7.52/5.68 tff(18954,plain,
% 7.52/5.68 (((~v90(constB152, bitIndex1)) <=> v129(constB152, bitIndex1)) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18955,plain,
% 7.52/5.68 (~v90(constB152, bitIndex1)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18954, 18953, 18951])).
% 7.52/5.68 tff(18956,plain,
% 7.52/5.68 (((~v90(constB153, bitIndex1)) <=> v90(constB152, bitIndex1)) | (~v90(constB153, bitIndex1)) | v90(constB152, bitIndex1)),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18957,plain,
% 7.52/5.68 (~v90(constB153, bitIndex1)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18956, 18955, 18941])).
% 7.52/5.68 tff(18958,plain,
% 7.52/5.68 ((~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))) | v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18959,plain,
% 7.52/5.68 (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18958, 18957, 18939, 18921])).
% 7.52/5.68 tff(18960,plain,
% 7.52/5.68 ((~(v123(constB153) <=> (~(v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))))) | v123(constB153) | (v90(constB153, bitIndex1) | v90(constB153, bitIndex0) | (~v90(constB153, bitIndex2)))),
% 7.52/5.68 inference(tautology,[status(thm)],[])).
% 7.52/5.68 tff(18961,plain,
% 7.52/5.68 (v123(constB153)),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18960, 18959, 13470])).
% 7.52/5.68 tff(18962,plain,
% 7.52/5.68 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB153)) | (~(v130(constB153, bitIndex1) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB153)) | (~(v130(constB153, bitIndex1) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex0)))))),
% 7.52/5.68 inference(rewrite,[status(thm)],[])).
% 7.52/5.68 tff(18963,plain,
% 7.52/5.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB153)) | (~(v130(constB153, bitIndex1) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex0)))))),
% 7.52/5.68 inference(quant_inst,[status(thm)],[])).
% 7.52/5.68 tff(18964,plain,
% 7.52/5.68 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB153)) | (~(v130(constB153, bitIndex1) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex0))))),
% 7.52/5.68 inference(modus_ponens,[status(thm)],[18963, 18962])).
% 7.52/5.68 tff(18965,plain,
% 7.52/5.68 ((~v123(constB153)) | (~(v130(constB153, bitIndex1) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex0))))),
% 7.52/5.68 inference(unit_resolution,[status(thm)],[18964, 4722])).
% 7.52/5.69 tff(18966,plain,
% 7.52/5.69 (~(v130(constB153, bitIndex1) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex0)))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[18965, 18961])).
% 7.52/5.69 tff(18967,plain,
% 7.52/5.69 ((v130(constB153, bitIndex1) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex0))) | v130(constB153, bitIndex2)),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(18968,plain,
% 7.52/5.69 (v130(constB153, bitIndex2)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[18967, 18966])).
% 7.52/5.69 tff(18969,plain,
% 7.52/5.69 (((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | v127(constB153, bitIndex2) | (~v130(constB153, bitIndex2))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(18970,plain,
% 7.52/5.69 (v127(constB153, bitIndex2)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[18969, 18968, 13463])).
% 7.52/5.69 tff(18971,plain,
% 7.52/5.69 (((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | v129(constB154, bitIndex2) | (~v127(constB153, bitIndex2))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(18972,plain,
% 7.52/5.69 (v129(constB154, bitIndex2)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[18971, 18970, 13449])).
% 7.52/5.69 tff(18973,plain,
% 7.52/5.69 (((~![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))))))),
% 7.52/5.69 inference(rewrite,[status(thm)],[])).
% 7.52/5.69 tff(18974,plain,
% 7.52/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(18975,plain,
% 7.52/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB153, constB154)) | (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))),
% 7.52/5.69 inference(modus_ponens,[status(thm)],[18974, 18973])).
% 7.52/5.69 tff(18976,plain,
% 7.52/5.69 (v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154))))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[18975, 13443, 433])).
% 7.52/5.69 tff(18977,plain,
% 7.52/5.69 (((~![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))))))),
% 7.52/5.69 inference(rewrite,[status(thm)],[])).
% 7.52/5.69 tff(18978,plain,
% 7.52/5.69 (((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154)))))) <=> ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))))),
% 7.52/5.69 inference(rewrite,[status(thm)],[])).
% 7.52/5.69 tff(18979,plain,
% 7.52/5.69 (((~![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)))))))),
% 7.52/5.69 inference(monotonicity,[status(thm)],[18978])).
% 7.52/5.69 tff(18980,plain,
% 7.52/5.69 (((~![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))))))),
% 7.52/5.69 inference(transitivity,[status(thm)],[18979, 18977])).
% 7.52/5.69 tff(18981,plain,
% 7.52/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v102(constB154)) | (~v1(constB154))))))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(18982,plain,
% 7.52/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))),
% 7.52/5.69 inference(modus_ponens,[status(thm)],[18981, 18980])).
% 7.52/5.69 tff(18983,plain,
% 7.52/5.69 (v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154))))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[18982, 13443, 453])).
% 7.52/5.69 tff(18984,plain,
% 7.52/5.69 (((~![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)))),
% 7.52/5.69 inference(rewrite,[status(thm)],[])).
% 7.52/5.69 tff(18985,plain,
% 7.52/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154)))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(18986,plain,
% 7.52/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB153, constB154)) | ((~v102(constB154)) <=> v104(constB154))),
% 7.52/5.69 inference(modus_ponens,[status(thm)],[18985, 18984])).
% 7.52/5.69 tff(18987,plain,
% 7.52/5.69 ((~v102(constB154)) <=> v104(constB154)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[18986, 13443, 3966])).
% 7.52/5.69 tff(18988,plain,
% 7.52/5.69 (((~![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)))),
% 7.52/5.69 inference(rewrite,[status(thm)],[])).
% 7.52/5.69 tff(18989,plain,
% 7.52/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153)))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(18990,plain,
% 7.52/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v1(constB153))),
% 7.52/5.69 inference(modus_ponens,[status(thm)],[18989, 18988])).
% 7.52/5.69 tff(18991,plain,
% 7.52/5.69 (v104(constB154) <=> v1(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[18990, 13443, 3980])).
% 7.52/5.69 tff(18992,plain,
% 7.52/5.69 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154)) | v1(constB153)),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(18993,plain,
% 7.52/5.69 ((~(v104(constB154) <=> v1(constB153))) | (~v104(constB154))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[18992, 13487])).
% 7.52/5.69 tff(18994,plain,
% 7.52/5.69 (~v104(constB154)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[18993, 18991])).
% 7.52/5.69 tff(18995,plain,
% 7.52/5.69 ((~((~v102(constB154)) <=> v104(constB154))) | v102(constB154) | v104(constB154)),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(18996,plain,
% 7.52/5.69 (v102(constB154)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[18995, 18994, 18987])).
% 7.52/5.69 tff(18997,plain,
% 7.52/5.69 (v1(constB154) <=> v1(constB154)),
% 7.52/5.69 inference(rewrite,[status(thm)],[])).
% 7.52/5.69 tff(18998,axiom,(v1(constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_154')).
% 7.52/5.69 tff(18999,plain,
% 7.52/5.69 (v1(constB154)),
% 7.52/5.69 inference(modus_ponens,[status(thm)],[18998, 18997])).
% 7.52/5.69 tff(19000,plain,
% 7.52/5.69 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v1(constB154)) | (~v102(constB154))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19001,plain,
% 7.52/5.69 ((~((~v1(constB154)) | (~v102(constB154)))) | (~v102(constB154))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19000, 18999])).
% 7.52/5.69 tff(19002,plain,
% 7.52/5.69 (~((~v1(constB154)) | (~v102(constB154)))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19001, 18996])).
% 7.52/5.69 tff(19003,plain,
% 7.52/5.69 ((~(v101(constB154) <=> (~((~v1(constB154)) | (~v102(constB154)))))) | v101(constB154) | ((~v1(constB154)) | (~v102(constB154)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19004,plain,
% 7.52/5.69 (v101(constB154)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19003, 19002, 18983])).
% 7.52/5.69 tff(19005,plain,
% 7.52/5.69 (((~![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)))),
% 7.52/5.69 inference(rewrite,[status(thm)],[])).
% 7.52/5.69 tff(19006,plain,
% 7.52/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153)))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(19007,plain,
% 7.52/5.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB153, constB154)) | (v110(constB154) <=> v108(constB153))),
% 7.52/5.69 inference(modus_ponens,[status(thm)],[19006, 19005])).
% 7.52/5.69 tff(19008,plain,
% 7.52/5.69 (v110(constB154) <=> v108(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19007, 13443, 4007])).
% 7.52/5.69 tff(19009,plain,
% 7.52/5.69 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB153) <=> (v111(constB153) | v112(constB153)))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(19010,plain,
% 7.52/5.69 (v108(constB153) <=> (v111(constB153) | v112(constB153))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19009, 4018])).
% 7.52/5.69 tff(19011,plain,
% 7.52/5.69 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(19012,plain,
% 7.52/5.69 (v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153))))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19011, 4030])).
% 7.52/5.69 tff(19013,plain,
% 7.52/5.69 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB153) <=> (v114(constB153) | v125(constB153)))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(19014,plain,
% 7.52/5.69 (v113(constB153) <=> (v114(constB153) | v125(constB153))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19013, 4039])).
% 7.52/5.69 tff(19015,plain,
% 7.52/5.69 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB153) <=> (v115(constB153) | v124(constB153)))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(19016,plain,
% 7.52/5.69 (v114(constB153) <=> (v115(constB153) | v124(constB153))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19015, 4048])).
% 7.52/5.69 tff(19017,plain,
% 7.52/5.69 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB153) <=> (v116(constB153) | v123(constB153)))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(19018,plain,
% 7.52/5.69 (v115(constB153) <=> (v116(constB153) | v123(constB153))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19017, 4057])).
% 7.52/5.69 tff(19019,plain,
% 7.52/5.69 ((v116(constB153) | v123(constB153)) | (~v123(constB153))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19020,plain,
% 7.52/5.69 (v116(constB153) | v123(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19019, 18961])).
% 7.52/5.69 tff(19021,plain,
% 7.52/5.69 ((~(v115(constB153) <=> (v116(constB153) | v123(constB153)))) | v115(constB153) | (~(v116(constB153) | v123(constB153)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19022,plain,
% 7.52/5.69 (v115(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19021, 19020, 19018])).
% 7.52/5.69 tff(19023,plain,
% 7.52/5.69 ((v115(constB153) | v124(constB153)) | (~v115(constB153))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19024,plain,
% 7.52/5.69 (v115(constB153) | v124(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19023, 19022])).
% 7.52/5.69 tff(19025,plain,
% 7.52/5.69 ((~(v114(constB153) <=> (v115(constB153) | v124(constB153)))) | v114(constB153) | (~(v115(constB153) | v124(constB153)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19026,plain,
% 7.52/5.69 (v114(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19025, 19024, 19016])).
% 7.52/5.69 tff(19027,plain,
% 7.52/5.69 ((v114(constB153) | v125(constB153)) | (~v114(constB153))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19028,plain,
% 7.52/5.69 (v114(constB153) | v125(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19027, 19026])).
% 7.52/5.69 tff(19029,plain,
% 7.52/5.69 ((~(v113(constB153) <=> (v114(constB153) | v125(constB153)))) | v113(constB153) | (~(v114(constB153) | v125(constB153)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19030,plain,
% 7.52/5.69 (v113(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19029, 19028, 19014])).
% 7.52/5.69 tff(19031,plain,
% 7.52/5.69 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB153)) <=> v111(constB153))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(19032,plain,
% 7.52/5.69 ((~v126(constB153)) <=> v111(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19031, 4118])).
% 7.52/5.69 tff(19033,plain,
% 7.52/5.69 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153) | v111(constB153)),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19034,plain,
% 7.52/5.69 ((~((~v126(constB153)) <=> v111(constB153))) | v126(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19033, 13456])).
% 7.52/5.69 tff(19035,plain,
% 7.52/5.69 (v126(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19034, 19032])).
% 7.52/5.69 tff(19036,plain,
% 7.52/5.69 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153)) | (~v126(constB153))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19037,plain,
% 7.52/5.69 ((~((~v113(constB153)) | (~v126(constB153)))) | (~v113(constB153))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19036, 19035])).
% 7.52/5.69 tff(19038,plain,
% 7.52/5.69 (~((~v113(constB153)) | (~v126(constB153)))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19037, 19030])).
% 7.52/5.69 tff(19039,plain,
% 7.52/5.69 ((~(v112(constB153) <=> (~((~v113(constB153)) | (~v126(constB153)))))) | v112(constB153) | ((~v113(constB153)) | (~v126(constB153)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19040,plain,
% 7.52/5.69 (v112(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19039, 19038, 19012])).
% 7.52/5.69 tff(19041,plain,
% 7.52/5.69 ((v111(constB153) | v112(constB153)) | (~v112(constB153))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19042,plain,
% 7.52/5.69 (v111(constB153) | v112(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19041, 19040])).
% 7.52/5.69 tff(19043,plain,
% 7.52/5.69 ((~(v108(constB153) <=> (v111(constB153) | v112(constB153)))) | v108(constB153) | (~(v111(constB153) | v112(constB153)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19044,plain,
% 7.52/5.69 (v108(constB153)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19043, 19042, 19010])).
% 7.52/5.69 tff(19045,plain,
% 7.52/5.69 ((~(v110(constB154) <=> v108(constB153))) | v110(constB154) | (~v108(constB153))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19046,plain,
% 7.52/5.69 (v110(constB154)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19045, 19044, 19008])).
% 7.52/5.69 tff(19047,plain,
% 7.52/5.69 ((~((~v101(constB154)) | (~v110(constB154)))) | (~v101(constB154)) | (~v110(constB154))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19048,plain,
% 7.52/5.69 (~((~v101(constB154)) | (~v110(constB154)))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19047, 19046, 19004])).
% 7.52/5.69 tff(19049,plain,
% 7.52/5.69 ((~(v100(constB154) <=> (~((~v101(constB154)) | (~v110(constB154)))))) | v100(constB154) | ((~v101(constB154)) | (~v110(constB154)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19050,plain,
% 7.52/5.69 (v100(constB154)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19049, 19048, 18976])).
% 7.52/5.69 tff(19051,plain,
% 7.52/5.69 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.52/5.69 inference(rewrite,[status(thm)],[])).
% 7.52/5.69 tff(19052,plain,
% 7.52/5.69 (((~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)))))),
% 7.52/5.69 inference(rewrite,[status(thm)],[])).
% 7.52/5.69 tff(19053,plain,
% 7.52/5.69 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 7.52/5.69 inference(monotonicity,[status(thm)],[19052])).
% 7.52/5.69 tff(19054,plain,
% 7.52/5.69 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 7.52/5.69 inference(transitivity,[status(thm)],[19053, 19051])).
% 7.52/5.69 tff(19055,plain,
% 7.52/5.69 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB154)) | (~(((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)) | ((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)))))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(19056,plain,
% 7.52/5.69 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB154)) | (~(((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))))),
% 7.52/5.69 inference(modus_ponens,[status(thm)],[19055, 19054])).
% 7.52/5.69 tff(19057,plain,
% 7.52/5.69 ((~v100(constB154)) | (~(((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19056, 4151])).
% 7.52/5.69 tff(19058,plain,
% 7.52/5.69 (~(((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19057, 19050])).
% 7.52/5.69 tff(19059,plain,
% 7.52/5.69 ((((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))) | (~((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19060,plain,
% 7.52/5.69 (~((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19059, 19058])).
% 7.52/5.69 tff(19061,plain,
% 7.52/5.69 (((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19062,plain,
% 7.52/5.69 (v90(constB154, bitIndex2)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19061, 19060, 18972])).
% 7.52/5.69 tff(19063,plain,
% 7.52/5.69 (((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | v90(constB155, bitIndex2) | (~v90(constB154, bitIndex2))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19064,plain,
% 7.52/5.69 (v90(constB155, bitIndex2)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19063, 19062, 13440])).
% 7.52/5.69 tff(19065,plain,
% 7.52/5.69 ((((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))) | (~((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19066,plain,
% 7.52/5.69 (~((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19065, 13438])).
% 7.52/5.69 tff(19067,plain,
% 7.52/5.69 ((((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0))) | (~((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19068,plain,
% 7.52/5.69 (~((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19067, 13447])).
% 7.52/5.69 tff(19069,plain,
% 7.52/5.69 ((((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1))) | (~((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19070,plain,
% 7.52/5.69 (~((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19069, 13461])).
% 7.52/5.69 tff(19071,plain,
% 7.52/5.69 ((v130(constB153, bitIndex1) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex0))) | v130(constB153, bitIndex0)),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19072,plain,
% 7.52/5.69 (v130(constB153, bitIndex0)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19071, 18966])).
% 7.52/5.69 tff(19073,plain,
% 7.52/5.69 (((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)) | v127(constB153, bitIndex0) | (~v130(constB153, bitIndex0))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19074,plain,
% 7.52/5.69 (v127(constB153, bitIndex0)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19073, 19072, 19070])).
% 7.52/5.69 tff(19075,plain,
% 7.52/5.69 (((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0)) | v129(constB154, bitIndex0) | (~v127(constB153, bitIndex0))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19076,plain,
% 7.52/5.69 (v129(constB154, bitIndex0)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19075, 19074, 19068])).
% 7.52/5.69 tff(19077,plain,
% 7.52/5.69 ((((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))) | (~((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19078,plain,
% 7.52/5.69 (~((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19077, 19058])).
% 7.52/5.69 tff(19079,plain,
% 7.52/5.69 (((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | v90(constB154, bitIndex0) | (~v129(constB154, bitIndex0))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19080,plain,
% 7.52/5.69 (v90(constB154, bitIndex0)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19079, 19078, 19076])).
% 7.52/5.69 tff(19081,plain,
% 7.52/5.69 (((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0)) | v90(constB155, bitIndex0) | (~v90(constB154, bitIndex0))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19082,plain,
% 7.52/5.69 (v90(constB155, bitIndex0)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19081, 19080, 19066])).
% 7.52/5.69 tff(19083,plain,
% 7.52/5.69 ((((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | ((~v90(constB155, bitIndex2)) <=> v90(constB154, bitIndex2)) | ((~v90(constB155, bitIndex0)) <=> v90(constB154, bitIndex0))) | (~((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19084,plain,
% 7.52/5.69 (~((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19083, 13438])).
% 7.52/5.69 tff(19085,plain,
% 7.52/5.69 ((((~v129(constB154, bitIndex2)) <=> v127(constB153, bitIndex2)) | ((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | ((~v129(constB154, bitIndex0)) <=> v127(constB153, bitIndex0))) | (~((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19086,plain,
% 7.52/5.69 (~((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19085, 13447])).
% 7.52/5.69 tff(19087,plain,
% 7.52/5.69 ((((~v127(constB153, bitIndex2)) <=> v130(constB153, bitIndex2)) | ((~v127(constB153, bitIndex0)) <=> v130(constB153, bitIndex0)) | ((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1))) | (~((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19088,plain,
% 7.52/5.69 (~((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19087, 13461])).
% 7.52/5.69 tff(19089,plain,
% 7.52/5.69 ((v130(constB153, bitIndex1) | (~v130(constB153, bitIndex2)) | (~v130(constB153, bitIndex0))) | (~v130(constB153, bitIndex1))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19090,plain,
% 7.52/5.69 (~v130(constB153, bitIndex1)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19089, 18966])).
% 7.52/5.69 tff(19091,plain,
% 7.52/5.69 (((~v127(constB153, bitIndex1)) <=> v130(constB153, bitIndex1)) | (~v127(constB153, bitIndex1)) | v130(constB153, bitIndex1)),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19092,plain,
% 7.52/5.69 (~v127(constB153, bitIndex1)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19091, 19090, 19088])).
% 7.52/5.69 tff(19093,plain,
% 7.52/5.69 (((~v129(constB154, bitIndex1)) <=> v127(constB153, bitIndex1)) | (~v129(constB154, bitIndex1)) | v127(constB153, bitIndex1)),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19094,plain,
% 7.52/5.69 (~v129(constB154, bitIndex1)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19093, 19092, 19086])).
% 7.52/5.69 tff(19095,plain,
% 7.52/5.69 ((((~v90(constB154, bitIndex0)) <=> v129(constB154, bitIndex0)) | ((~v90(constB154, bitIndex2)) <=> v129(constB154, bitIndex2)) | ((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))) | (~((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19096,plain,
% 7.52/5.69 (~((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19095, 19058])).
% 7.52/5.69 tff(19097,plain,
% 7.52/5.69 (((~v90(constB154, bitIndex1)) <=> v129(constB154, bitIndex1)) | (~v90(constB154, bitIndex1)) | v129(constB154, bitIndex1)),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19098,plain,
% 7.52/5.69 (~v90(constB154, bitIndex1)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19097, 19096, 19094])).
% 7.52/5.69 tff(19099,plain,
% 7.52/5.69 (((~v90(constB155, bitIndex1)) <=> v90(constB154, bitIndex1)) | (~v90(constB155, bitIndex1)) | v90(constB154, bitIndex1)),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19100,plain,
% 7.52/5.69 (~v90(constB155, bitIndex1)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19099, 19098, 19084])).
% 7.52/5.69 tff(19101,plain,
% 7.52/5.69 ((~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0)))) | v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19102,plain,
% 7.52/5.69 (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0)))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19101, 19100, 19082, 19064])).
% 7.52/5.69 tff(19103,plain,
% 7.52/5.69 ((~(v124(constB155) <=> (~(v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0)))))) | v124(constB155) | (v90(constB155, bitIndex1) | (~v90(constB155, bitIndex2)) | (~v90(constB155, bitIndex0)))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19104,plain,
% 7.52/5.69 (v124(constB155)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19103, 19102, 13404])).
% 7.52/5.69 tff(19105,plain,
% 7.52/5.69 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB155)) | (~(v130(constB155, bitIndex0) | (~v130(constB155, bitIndex2)) | (~v130(constB155, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB155)) | (~(v130(constB155, bitIndex0) | (~v130(constB155, bitIndex2)) | (~v130(constB155, bitIndex1)))))),
% 7.52/5.69 inference(rewrite,[status(thm)],[])).
% 7.52/5.69 tff(19106,plain,
% 7.52/5.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB155)) | (~(v130(constB155, bitIndex0) | (~v130(constB155, bitIndex2)) | (~v130(constB155, bitIndex1)))))),
% 7.52/5.69 inference(quant_inst,[status(thm)],[])).
% 7.52/5.69 tff(19107,plain,
% 7.52/5.69 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB155)) | (~(v130(constB155, bitIndex0) | (~v130(constB155, bitIndex2)) | (~v130(constB155, bitIndex1))))),
% 7.52/5.69 inference(modus_ponens,[status(thm)],[19106, 19105])).
% 7.52/5.69 tff(19108,plain,
% 7.52/5.69 ((~v124(constB155)) | (~(v130(constB155, bitIndex0) | (~v130(constB155, bitIndex2)) | (~v130(constB155, bitIndex1))))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19107, 4878])).
% 7.52/5.69 tff(19109,plain,
% 7.52/5.69 (~(v130(constB155, bitIndex0) | (~v130(constB155, bitIndex2)) | (~v130(constB155, bitIndex1)))),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19108, 19104])).
% 7.52/5.69 tff(19110,plain,
% 7.52/5.69 ((v130(constB155, bitIndex0) | (~v130(constB155, bitIndex2)) | (~v130(constB155, bitIndex1))) | v130(constB155, bitIndex2)),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19111,plain,
% 7.52/5.69 (v130(constB155, bitIndex2)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19110, 19109])).
% 7.52/5.69 tff(19112,plain,
% 7.52/5.69 (((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | v127(constB155, bitIndex2) | (~v130(constB155, bitIndex2))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19113,plain,
% 7.52/5.69 (v127(constB155, bitIndex2)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19112, 19111, 13397])).
% 7.52/5.69 tff(19114,plain,
% 7.52/5.69 (((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | v129(constB156, bitIndex2) | (~v127(constB155, bitIndex2))),
% 7.52/5.69 inference(tautology,[status(thm)],[])).
% 7.52/5.69 tff(19115,plain,
% 7.52/5.69 (v129(constB156, bitIndex2)),
% 7.52/5.69 inference(unit_resolution,[status(thm)],[19114, 19113, 13383])).
% 7.52/5.69 tff(19116,plain,
% 7.52/5.69 (((~![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))))))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19117,plain,
% 7.52/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19118,plain,
% 7.52/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB155, constB156)) | (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))),
% 7.52/5.70 inference(modus_ponens,[status(thm)],[19117, 19116])).
% 7.52/5.70 tff(19119,plain,
% 7.52/5.70 (v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156))))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19118, 13377, 433])).
% 7.52/5.70 tff(19120,plain,
% 7.52/5.70 (((~![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))))))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19121,plain,
% 7.52/5.70 (((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156)))))) <=> ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19122,plain,
% 7.52/5.70 (((~![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)))))))),
% 7.52/5.70 inference(monotonicity,[status(thm)],[19121])).
% 7.52/5.70 tff(19123,plain,
% 7.52/5.70 (((~![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))))))),
% 7.52/5.70 inference(transitivity,[status(thm)],[19122, 19120])).
% 7.52/5.70 tff(19124,plain,
% 7.52/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v102(constB156)) | (~v1(constB156))))))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19125,plain,
% 7.52/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))),
% 7.52/5.70 inference(modus_ponens,[status(thm)],[19124, 19123])).
% 7.52/5.70 tff(19126,plain,
% 7.52/5.70 (v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156))))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19125, 13377, 453])).
% 7.52/5.70 tff(19127,plain,
% 7.52/5.70 (((~![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)))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19128,plain,
% 7.52/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156)))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19129,plain,
% 7.52/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB155, constB156)) | ((~v102(constB156)) <=> v104(constB156))),
% 7.52/5.70 inference(modus_ponens,[status(thm)],[19128, 19127])).
% 7.52/5.70 tff(19130,plain,
% 7.52/5.70 ((~v102(constB156)) <=> v104(constB156)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19129, 13377, 3966])).
% 7.52/5.70 tff(19131,plain,
% 7.52/5.70 (((~![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)))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19132,plain,
% 7.52/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155)))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19133,plain,
% 7.52/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v1(constB155))),
% 7.52/5.70 inference(modus_ponens,[status(thm)],[19132, 19131])).
% 7.52/5.70 tff(19134,plain,
% 7.52/5.70 (v104(constB156) <=> v1(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19133, 13377, 3980])).
% 7.52/5.70 tff(19135,plain,
% 7.52/5.70 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156)) | v1(constB155)),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19136,plain,
% 7.52/5.70 ((~(v104(constB156) <=> v1(constB155))) | (~v104(constB156))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19135, 13421])).
% 7.52/5.70 tff(19137,plain,
% 7.52/5.70 (~v104(constB156)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19136, 19134])).
% 7.52/5.70 tff(19138,plain,
% 7.52/5.70 ((~((~v102(constB156)) <=> v104(constB156))) | v102(constB156) | v104(constB156)),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19139,plain,
% 7.52/5.70 (v102(constB156)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19138, 19137, 19130])).
% 7.52/5.70 tff(19140,plain,
% 7.52/5.70 (v1(constB156) <=> v1(constB156)),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19141,axiom,(v1(constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_156')).
% 7.52/5.70 tff(19142,plain,
% 7.52/5.70 (v1(constB156)),
% 7.52/5.70 inference(modus_ponens,[status(thm)],[19141, 19140])).
% 7.52/5.70 tff(19143,plain,
% 7.52/5.70 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v1(constB156)) | (~v102(constB156))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19144,plain,
% 7.52/5.70 ((~((~v1(constB156)) | (~v102(constB156)))) | (~v102(constB156))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19143, 19142])).
% 7.52/5.70 tff(19145,plain,
% 7.52/5.70 (~((~v1(constB156)) | (~v102(constB156)))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19144, 19139])).
% 7.52/5.70 tff(19146,plain,
% 7.52/5.70 ((~(v101(constB156) <=> (~((~v1(constB156)) | (~v102(constB156)))))) | v101(constB156) | ((~v1(constB156)) | (~v102(constB156)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19147,plain,
% 7.52/5.70 (v101(constB156)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19146, 19145, 19126])).
% 7.52/5.70 tff(19148,plain,
% 7.52/5.70 (((~![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)))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19149,plain,
% 7.52/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155)))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19150,plain,
% 7.52/5.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB155, constB156)) | (v110(constB156) <=> v108(constB155))),
% 7.52/5.70 inference(modus_ponens,[status(thm)],[19149, 19148])).
% 7.52/5.70 tff(19151,plain,
% 7.52/5.70 (v110(constB156) <=> v108(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19150, 13377, 4007])).
% 7.52/5.70 tff(19152,plain,
% 7.52/5.70 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB155) <=> (v111(constB155) | v112(constB155)))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19153,plain,
% 7.52/5.70 (v108(constB155) <=> (v111(constB155) | v112(constB155))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19152, 4018])).
% 7.52/5.70 tff(19154,plain,
% 7.52/5.70 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19155,plain,
% 7.52/5.70 (v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155))))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19154, 4030])).
% 7.52/5.70 tff(19156,plain,
% 7.52/5.70 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB155) <=> (v114(constB155) | v125(constB155)))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19157,plain,
% 7.52/5.70 (v113(constB155) <=> (v114(constB155) | v125(constB155))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19156, 4039])).
% 7.52/5.70 tff(19158,plain,
% 7.52/5.70 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB155) <=> (v115(constB155) | v124(constB155)))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19159,plain,
% 7.52/5.70 (v114(constB155) <=> (v115(constB155) | v124(constB155))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19158, 4048])).
% 7.52/5.70 tff(19160,plain,
% 7.52/5.70 ((v115(constB155) | v124(constB155)) | (~v124(constB155))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19161,plain,
% 7.52/5.70 (v115(constB155) | v124(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19160, 19104])).
% 7.52/5.70 tff(19162,plain,
% 7.52/5.70 ((~(v114(constB155) <=> (v115(constB155) | v124(constB155)))) | v114(constB155) | (~(v115(constB155) | v124(constB155)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19163,plain,
% 7.52/5.70 (v114(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19162, 19161, 19159])).
% 7.52/5.70 tff(19164,plain,
% 7.52/5.70 ((v114(constB155) | v125(constB155)) | (~v114(constB155))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19165,plain,
% 7.52/5.70 (v114(constB155) | v125(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19164, 19163])).
% 7.52/5.70 tff(19166,plain,
% 7.52/5.70 ((~(v113(constB155) <=> (v114(constB155) | v125(constB155)))) | v113(constB155) | (~(v114(constB155) | v125(constB155)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19167,plain,
% 7.52/5.70 (v113(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19166, 19165, 19157])).
% 7.52/5.70 tff(19168,plain,
% 7.52/5.70 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB155)) <=> v111(constB155))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19169,plain,
% 7.52/5.70 ((~v126(constB155)) <=> v111(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19168, 4118])).
% 7.52/5.70 tff(19170,plain,
% 7.52/5.70 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155) | v111(constB155)),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19171,plain,
% 7.52/5.70 ((~((~v126(constB155)) <=> v111(constB155))) | v126(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19170, 13390])).
% 7.52/5.70 tff(19172,plain,
% 7.52/5.70 (v126(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19171, 19169])).
% 7.52/5.70 tff(19173,plain,
% 7.52/5.70 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155)) | (~v126(constB155))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19174,plain,
% 7.52/5.70 ((~((~v113(constB155)) | (~v126(constB155)))) | (~v113(constB155))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19173, 19172])).
% 7.52/5.70 tff(19175,plain,
% 7.52/5.70 (~((~v113(constB155)) | (~v126(constB155)))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19174, 19167])).
% 7.52/5.70 tff(19176,plain,
% 7.52/5.70 ((~(v112(constB155) <=> (~((~v113(constB155)) | (~v126(constB155)))))) | v112(constB155) | ((~v113(constB155)) | (~v126(constB155)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19177,plain,
% 7.52/5.70 (v112(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19176, 19175, 19155])).
% 7.52/5.70 tff(19178,plain,
% 7.52/5.70 ((v111(constB155) | v112(constB155)) | (~v112(constB155))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19179,plain,
% 7.52/5.70 (v111(constB155) | v112(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19178, 19177])).
% 7.52/5.70 tff(19180,plain,
% 7.52/5.70 ((~(v108(constB155) <=> (v111(constB155) | v112(constB155)))) | v108(constB155) | (~(v111(constB155) | v112(constB155)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19181,plain,
% 7.52/5.70 (v108(constB155)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19180, 19179, 19153])).
% 7.52/5.70 tff(19182,plain,
% 7.52/5.70 ((~(v110(constB156) <=> v108(constB155))) | v110(constB156) | (~v108(constB155))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19183,plain,
% 7.52/5.70 (v110(constB156)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19182, 19181, 19151])).
% 7.52/5.70 tff(19184,plain,
% 7.52/5.70 ((~((~v101(constB156)) | (~v110(constB156)))) | (~v101(constB156)) | (~v110(constB156))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19185,plain,
% 7.52/5.70 (~((~v101(constB156)) | (~v110(constB156)))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19184, 19183, 19147])).
% 7.52/5.70 tff(19186,plain,
% 7.52/5.70 ((~(v100(constB156) <=> (~((~v101(constB156)) | (~v110(constB156)))))) | v100(constB156) | ((~v101(constB156)) | (~v110(constB156)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19187,plain,
% 7.52/5.70 (v100(constB156)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19186, 19185, 19119])).
% 7.52/5.70 tff(19188,plain,
% 7.52/5.70 (((~![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)))))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19189,plain,
% 7.52/5.70 ((~![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)))))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19190,plain,
% 7.52/5.70 ((~![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))))),
% 7.52/5.70 inference(modus_ponens,[status(thm)],[19189, 19188])).
% 7.52/5.70 tff(19191,plain,
% 7.52/5.70 ((~v100(constB156)) | (~(((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0))))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19190, 4151])).
% 7.52/5.70 tff(19192,plain,
% 7.52/5.70 (~(((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0)))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19191, 19187])).
% 7.52/5.70 tff(19193,plain,
% 7.52/5.70 ((((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0))) | (~((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19194,plain,
% 7.52/5.70 (~((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19193, 19192])).
% 7.52/5.70 tff(19195,plain,
% 7.52/5.70 (((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | v90(constB156, bitIndex2) | (~v129(constB156, bitIndex2))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19196,plain,
% 7.52/5.70 (v90(constB156, bitIndex2)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19195, 19194, 19115])).
% 7.52/5.70 tff(19197,plain,
% 7.52/5.70 (((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | v90(constB157, bitIndex2) | (~v90(constB156, bitIndex2))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19198,plain,
% 7.52/5.70 (v90(constB157, bitIndex2)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19197, 19196, 13374])).
% 7.52/5.70 tff(19199,plain,
% 7.52/5.70 ((v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex2))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19200,plain,
% 7.52/5.70 (v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19199, 19198])).
% 7.52/5.70 tff(19201,plain,
% 7.52/5.70 ((~(v119(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))))) | (~v119(constB157)) | (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19202,plain,
% 7.52/5.70 (~v119(constB157)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19201, 19200, 13338])).
% 7.52/5.70 tff(19203,plain,
% 7.52/5.70 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex0))))))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19204,plain,
% 7.52/5.70 ((v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2))))) <=> (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex0)))))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19205,plain,
% 7.52/5.70 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex0))))))),
% 7.52/5.70 inference(monotonicity,[status(thm)],[19204])).
% 7.52/5.70 tff(19206,plain,
% 7.52/5.70 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex0))))))),
% 7.52/5.70 inference(transitivity,[status(thm)],[19205, 19203])).
% 7.52/5.70 tff(19207,plain,
% 7.52/5.70 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex2)))))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19208,plain,
% 7.52/5.70 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex0)))))),
% 7.52/5.70 inference(modus_ponens,[status(thm)],[19207, 19206])).
% 7.52/5.70 tff(19209,plain,
% 7.52/5.70 (v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex0))))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19208, 801])).
% 7.52/5.70 tff(19210,plain,
% 7.52/5.70 ((((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))) | (~((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19211,plain,
% 7.52/5.70 (~((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19210, 13372])).
% 7.52/5.70 tff(19212,plain,
% 7.52/5.70 ((((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0))) | (~((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19213,plain,
% 7.52/5.70 (~((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19212, 13381])).
% 7.52/5.70 tff(19214,plain,
% 7.52/5.70 ((((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1))) | (~((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19215,plain,
% 7.52/5.70 (~((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19214, 13395])).
% 7.52/5.70 tff(19216,plain,
% 7.52/5.70 ((v130(constB155, bitIndex0) | (~v130(constB155, bitIndex2)) | (~v130(constB155, bitIndex1))) | v130(constB155, bitIndex1)),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19217,plain,
% 7.52/5.70 (v130(constB155, bitIndex1)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19216, 19109])).
% 7.52/5.70 tff(19218,plain,
% 7.52/5.70 (((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1)) | v127(constB155, bitIndex1) | (~v130(constB155, bitIndex1))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19219,plain,
% 7.52/5.70 (v127(constB155, bitIndex1)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19218, 19217, 19215])).
% 7.52/5.70 tff(19220,plain,
% 7.52/5.70 (((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | v129(constB156, bitIndex1) | (~v127(constB155, bitIndex1))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19221,plain,
% 7.52/5.70 (v129(constB156, bitIndex1)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19220, 19219, 19213])).
% 7.52/5.70 tff(19222,plain,
% 7.52/5.70 ((((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0))) | (~((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19223,plain,
% 7.52/5.70 (~((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19222, 19192])).
% 7.52/5.70 tff(19224,plain,
% 7.52/5.70 (((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | v90(constB156, bitIndex1) | (~v129(constB156, bitIndex1))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19225,plain,
% 7.52/5.70 (v90(constB156, bitIndex1)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19224, 19223, 19221])).
% 7.52/5.70 tff(19226,plain,
% 7.52/5.70 (((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | v90(constB157, bitIndex1) | (~v90(constB156, bitIndex1))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19227,plain,
% 7.52/5.70 (v90(constB157, bitIndex1)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19226, 19225, 19211])).
% 7.52/5.70 tff(19228,plain,
% 7.52/5.70 ((v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex0))) | (~v90(constB157, bitIndex1))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19229,plain,
% 7.52/5.70 (v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex0))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19228, 19227])).
% 7.52/5.70 tff(19230,plain,
% 7.52/5.70 ((~(v124(constB157) <=> (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex0)))))) | (~v124(constB157)) | (~(v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)) | (~v90(constB157, bitIndex0))))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19231,plain,
% 7.52/5.70 (~v124(constB157)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19230, 19229, 19209])).
% 7.52/5.70 tff(19232,plain,
% 7.52/5.70 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2))))))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19233,plain,
% 7.52/5.70 ((v123(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2))))) <=> (v123(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2)))))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19234,plain,
% 7.52/5.70 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2))))))),
% 7.52/5.70 inference(monotonicity,[status(thm)],[19233])).
% 7.52/5.70 tff(19235,plain,
% 7.52/5.70 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2))))))),
% 7.52/5.70 inference(transitivity,[status(thm)],[19234, 19232])).
% 7.52/5.70 tff(19236,plain,
% 7.52/5.70 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex1) | (~v90(constB157, bitIndex2)))))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19237,plain,
% 7.52/5.70 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2)))))),
% 7.52/5.70 inference(modus_ponens,[status(thm)],[19236, 19235])).
% 7.52/5.70 tff(19238,plain,
% 7.52/5.70 (v123(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2))))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19237, 880])).
% 7.52/5.70 tff(19239,plain,
% 7.52/5.70 ((v90(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2))) | (~v90(constB157, bitIndex1))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19240,plain,
% 7.52/5.70 (v90(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19239, 19227])).
% 7.52/5.70 tff(19241,plain,
% 7.52/5.70 ((~(v123(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2)))))) | (~v123(constB157)) | (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex2))))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19242,plain,
% 7.52/5.70 (~v123(constB157)),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19241, 19240, 19238])).
% 7.52/5.70 tff(19243,plain,
% 7.52/5.70 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19244,plain,
% 7.52/5.70 ((v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1))))) <=> (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0)))))),
% 7.52/5.70 inference(rewrite,[status(thm)],[])).
% 7.52/5.70 tff(19245,plain,
% 7.52/5.70 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))))),
% 7.52/5.70 inference(monotonicity,[status(thm)],[19244])).
% 7.52/5.70 tff(19246,plain,
% 7.52/5.70 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))))),
% 7.52/5.70 inference(transitivity,[status(thm)],[19245, 19243])).
% 7.52/5.70 tff(19247,plain,
% 7.52/5.70 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)) | (~v90(constB157, bitIndex1)))))),
% 7.52/5.70 inference(quant_inst,[status(thm)],[])).
% 7.52/5.70 tff(19248,plain,
% 7.52/5.70 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0)))))),
% 7.52/5.70 inference(modus_ponens,[status(thm)],[19247, 19246])).
% 7.52/5.70 tff(19249,plain,
% 7.52/5.70 (v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19248, 959])).
% 7.52/5.70 tff(19250,plain,
% 7.52/5.70 ((v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))) | (~v90(constB157, bitIndex2))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19251,plain,
% 7.52/5.70 (v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))),
% 7.52/5.70 inference(unit_resolution,[status(thm)],[19250, 19198])).
% 7.52/5.70 tff(19252,plain,
% 7.52/5.70 ((~(v122(constB157) <=> (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0)))))) | (~v122(constB157)) | (~(v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex0))))),
% 7.52/5.70 inference(tautology,[status(thm)],[])).
% 7.52/5.70 tff(19253,plain,
% 7.52/5.70 (~v122(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19252, 19251, 19249])).
% 7.52/5.71 tff(19254,plain,
% 7.52/5.71 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1))))))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19255,plain,
% 7.52/5.71 ((v121(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1))))) <=> (v121(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)))))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19256,plain,
% 7.52/5.71 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1))))))),
% 7.52/5.71 inference(monotonicity,[status(thm)],[19255])).
% 7.52/5.71 tff(19257,plain,
% 7.52/5.71 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1))))))),
% 7.52/5.71 inference(transitivity,[status(thm)],[19256, 19254])).
% 7.52/5.71 tff(19258,plain,
% 7.52/5.71 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex0) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex1)))))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19259,plain,
% 7.52/5.71 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)))))),
% 7.52/5.71 inference(modus_ponens,[status(thm)],[19258, 19257])).
% 7.52/5.71 tff(19260,plain,
% 7.52/5.71 (v121(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1))))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19259, 574])).
% 7.52/5.71 tff(19261,plain,
% 7.52/5.71 ((v90(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1))) | (~v90(constB157, bitIndex2))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19262,plain,
% 7.52/5.71 (v90(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19261, 19198])).
% 7.52/5.71 tff(19263,plain,
% 7.52/5.71 ((~(v121(constB157) <=> (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)))))) | (~v121(constB157)) | (~(v90(constB157, bitIndex2) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1))))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19264,plain,
% 7.52/5.71 (~v121(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19263, 19262, 19260])).
% 7.52/5.71 tff(19265,plain,
% 7.52/5.71 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19266,plain,
% 7.52/5.71 (v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0))))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19265, 653])).
% 7.52/5.71 tff(19267,plain,
% 7.52/5.71 ((v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0))) | (~v90(constB157, bitIndex2))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19268,plain,
% 7.52/5.71 (v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19267, 19198])).
% 7.52/5.71 tff(19269,plain,
% 7.52/5.71 ((~(v120(constB157) <=> (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0)))))) | (~v120(constB157)) | (~(v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | (~v90(constB157, bitIndex0))))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19270,plain,
% 7.52/5.71 (~v120(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19269, 19268, 19266])).
% 7.52/5.71 tff(19271,plain,
% 7.52/5.71 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, 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(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0)))))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19272,plain,
% 7.52/5.71 ((v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0))))) <=> (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0)))))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19273,plain,
% 7.52/5.71 ((~(v130(constB157, bitIndex1) | v130(constB157, bitIndex2) | (~v130(constB157, bitIndex0)))) <=> (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0))))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19274,plain,
% 7.52/5.71 ((v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~(v130(constB157, bitIndex1) | v130(constB157, bitIndex2) | (~v130(constB157, bitIndex0))))) <=> (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0)))))),
% 7.52/5.71 inference(monotonicity,[status(thm)],[19273])).
% 7.52/5.71 tff(19275,plain,
% 7.52/5.71 ((v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~(v130(constB157, bitIndex1) | v130(constB157, bitIndex2) | (~v130(constB157, bitIndex0))))) <=> (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0)))))),
% 7.52/5.71 inference(transitivity,[status(thm)],[19274, 19272])).
% 7.52/5.71 tff(19276,plain,
% 7.52/5.71 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~(v130(constB157, bitIndex1) | v130(constB157, bitIndex2) | (~v130(constB157, 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(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0))))))),
% 7.52/5.71 inference(monotonicity,[status(thm)],[19275])).
% 7.52/5.71 tff(19277,plain,
% 7.52/5.71 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~(v130(constB157, bitIndex1) | v130(constB157, bitIndex2) | (~v130(constB157, 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(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0)))))),
% 7.52/5.71 inference(transitivity,[status(thm)],[19276, 19271])).
% 7.52/5.71 tff(19278,plain,
% 7.52/5.71 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB157) | v123(constB157) | v122(constB157) | v121(constB157) | v120(constB157) | v119(constB157) | (~(v130(constB157, bitIndex1) | v130(constB157, bitIndex2) | (~v130(constB157, bitIndex0)))))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19279,plain,
% 7.52/5.71 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0))))),
% 7.52/5.71 inference(modus_ponens,[status(thm)],[19278, 19277])).
% 7.52/5.71 tff(19280,plain,
% 7.52/5.71 (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0))))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19279, 5057])).
% 7.52/5.71 tff(19281,plain,
% 7.52/5.71 (~(v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0)))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19280, 19270, 19264, 19253, 19242, 19231, 19202])).
% 7.52/5.71 tff(19282,plain,
% 7.52/5.71 ((v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0))) | (~v130(constB157, bitIndex2))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19283,plain,
% 7.52/5.71 (~v130(constB157, bitIndex2)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19282, 19281])).
% 7.52/5.71 tff(19284,plain,
% 7.52/5.71 (((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | (~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19285,plain,
% 7.52/5.71 (~v127(constB157, bitIndex2)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19284, 19283, 13336])).
% 7.52/5.71 tff(19286,plain,
% 7.52/5.71 (((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | (~v129(constB158, bitIndex2)) | v127(constB157, bitIndex2)),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19287,plain,
% 7.52/5.71 (~v129(constB158, bitIndex2)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19286, 19285, 13322])).
% 7.52/5.71 tff(19288,plain,
% 7.52/5.71 (((~![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))))))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19289,plain,
% 7.52/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19290,plain,
% 7.52/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB157, constB158)) | (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))),
% 7.52/5.71 inference(modus_ponens,[status(thm)],[19289, 19288])).
% 7.52/5.71 tff(19291,plain,
% 7.52/5.71 (v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158))))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19290, 13316, 433])).
% 7.52/5.71 tff(19292,plain,
% 7.52/5.71 (((~![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))))))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19293,plain,
% 7.52/5.71 (((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158)))))) <=> ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19294,plain,
% 7.52/5.71 (((~![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)))))))),
% 7.52/5.71 inference(monotonicity,[status(thm)],[19293])).
% 7.52/5.71 tff(19295,plain,
% 7.52/5.71 (((~![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))))))),
% 7.52/5.71 inference(transitivity,[status(thm)],[19294, 19292])).
% 7.52/5.71 tff(19296,plain,
% 7.52/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v102(constB158)) | (~v1(constB158))))))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19297,plain,
% 7.52/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))),
% 7.52/5.71 inference(modus_ponens,[status(thm)],[19296, 19295])).
% 7.52/5.71 tff(19298,plain,
% 7.52/5.71 (v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158))))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19297, 13316, 453])).
% 7.52/5.71 tff(19299,plain,
% 7.52/5.71 (((~![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)))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19300,plain,
% 7.52/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158)))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19301,plain,
% 7.52/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB157, constB158)) | ((~v102(constB158)) <=> v104(constB158))),
% 7.52/5.71 inference(modus_ponens,[status(thm)],[19300, 19299])).
% 7.52/5.71 tff(19302,plain,
% 7.52/5.71 ((~v102(constB158)) <=> v104(constB158)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19301, 13316, 3966])).
% 7.52/5.71 tff(19303,plain,
% 7.52/5.71 (((~![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)))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19304,plain,
% 7.52/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157)))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19305,plain,
% 7.52/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v1(constB157))),
% 7.52/5.71 inference(modus_ponens,[status(thm)],[19304, 19303])).
% 7.52/5.71 tff(19306,plain,
% 7.52/5.71 (v104(constB158) <=> v1(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19305, 13316, 3980])).
% 7.52/5.71 tff(19307,plain,
% 7.52/5.71 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158)) | v1(constB157)),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19308,plain,
% 7.52/5.71 ((~(v104(constB158) <=> v1(constB157))) | (~v104(constB158))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19307, 13355])).
% 7.52/5.71 tff(19309,plain,
% 7.52/5.71 (~v104(constB158)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19308, 19306])).
% 7.52/5.71 tff(19310,plain,
% 7.52/5.71 ((~((~v102(constB158)) <=> v104(constB158))) | v102(constB158) | v104(constB158)),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19311,plain,
% 7.52/5.71 (v102(constB158)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19310, 19309, 19302])).
% 7.52/5.71 tff(19312,plain,
% 7.52/5.71 (v1(constB158) <=> v1(constB158)),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19313,axiom,(v1(constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_158')).
% 7.52/5.71 tff(19314,plain,
% 7.52/5.71 (v1(constB158)),
% 7.52/5.71 inference(modus_ponens,[status(thm)],[19313, 19312])).
% 7.52/5.71 tff(19315,plain,
% 7.52/5.71 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v1(constB158)) | (~v102(constB158))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19316,plain,
% 7.52/5.71 ((~((~v1(constB158)) | (~v102(constB158)))) | (~v102(constB158))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19315, 19314])).
% 7.52/5.71 tff(19317,plain,
% 7.52/5.71 (~((~v1(constB158)) | (~v102(constB158)))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19316, 19311])).
% 7.52/5.71 tff(19318,plain,
% 7.52/5.71 ((~(v101(constB158) <=> (~((~v1(constB158)) | (~v102(constB158)))))) | v101(constB158) | ((~v1(constB158)) | (~v102(constB158)))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19319,plain,
% 7.52/5.71 (v101(constB158)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19318, 19317, 19298])).
% 7.52/5.71 tff(19320,plain,
% 7.52/5.71 (((~![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)))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19321,plain,
% 7.52/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157)))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19322,plain,
% 7.52/5.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB157, constB158)) | (v110(constB158) <=> v108(constB157))),
% 7.52/5.71 inference(modus_ponens,[status(thm)],[19321, 19320])).
% 7.52/5.71 tff(19323,plain,
% 7.52/5.71 (v110(constB158) <=> v108(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19322, 13316, 4007])).
% 7.52/5.71 tff(19324,plain,
% 7.52/5.71 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB157) <=> (v111(constB157) | v112(constB157)))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19325,plain,
% 7.52/5.71 (v108(constB157) <=> (v111(constB157) | v112(constB157))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19324, 4018])).
% 7.52/5.71 tff(19326,plain,
% 7.52/5.71 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19327,plain,
% 7.52/5.71 (v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157))))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19326, 4030])).
% 7.52/5.71 tff(19328,plain,
% 7.52/5.71 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB157) <=> (v114(constB157) | v125(constB157)))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19329,plain,
% 7.52/5.71 (v113(constB157) <=> (v114(constB157) | v125(constB157))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19328, 4039])).
% 7.52/5.71 tff(19330,plain,
% 7.52/5.71 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB157) <=> (~(v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)))))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19331,plain,
% 7.52/5.71 (v125(constB157) <=> (~(v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2))))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19330, 5129])).
% 7.52/5.71 tff(19332,plain,
% 7.52/5.71 ((((~v90(constB157, bitIndex1)) <=> v90(constB156, bitIndex1)) | ((~v90(constB157, bitIndex2)) <=> v90(constB156, bitIndex2)) | ((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))) | (~((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19333,plain,
% 7.52/5.71 (~((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19332, 13372])).
% 7.52/5.71 tff(19334,plain,
% 7.52/5.71 ((((~v129(constB156, bitIndex2)) <=> v127(constB155, bitIndex2)) | ((~v129(constB156, bitIndex1)) <=> v127(constB155, bitIndex1)) | ((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0))) | (~((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0)))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19335,plain,
% 7.52/5.71 (~((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19334, 13381])).
% 7.52/5.71 tff(19336,plain,
% 7.52/5.71 ((((~v127(constB155, bitIndex2)) <=> v130(constB155, bitIndex2)) | ((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)) | ((~v127(constB155, bitIndex1)) <=> v130(constB155, bitIndex1))) | (~((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19337,plain,
% 7.52/5.71 (~((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19336, 13395])).
% 7.52/5.71 tff(19338,plain,
% 7.52/5.71 ((v130(constB155, bitIndex0) | (~v130(constB155, bitIndex2)) | (~v130(constB155, bitIndex1))) | (~v130(constB155, bitIndex0))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19339,plain,
% 7.52/5.71 (~v130(constB155, bitIndex0)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19338, 19109])).
% 7.52/5.71 tff(19340,plain,
% 7.52/5.71 (((~v127(constB155, bitIndex0)) <=> v130(constB155, bitIndex0)) | (~v127(constB155, bitIndex0)) | v130(constB155, bitIndex0)),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19341,plain,
% 7.52/5.71 (~v127(constB155, bitIndex0)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19340, 19339, 19337])).
% 7.52/5.71 tff(19342,plain,
% 7.52/5.71 (((~v129(constB156, bitIndex0)) <=> v127(constB155, bitIndex0)) | (~v129(constB156, bitIndex0)) | v127(constB155, bitIndex0)),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19343,plain,
% 7.52/5.71 (~v129(constB156, bitIndex0)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19342, 19341, 19335])).
% 7.52/5.71 tff(19344,plain,
% 7.52/5.71 ((((~v90(constB156, bitIndex2)) <=> v129(constB156, bitIndex2)) | ((~v90(constB156, bitIndex1)) <=> v129(constB156, bitIndex1)) | ((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0))) | (~((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0)))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19345,plain,
% 7.52/5.71 (~((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19344, 19192])).
% 7.52/5.71 tff(19346,plain,
% 7.52/5.71 (((~v90(constB156, bitIndex0)) <=> v129(constB156, bitIndex0)) | (~v90(constB156, bitIndex0)) | v129(constB156, bitIndex0)),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19347,plain,
% 7.52/5.71 (~v90(constB156, bitIndex0)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19346, 19345, 19343])).
% 7.52/5.71 tff(19348,plain,
% 7.52/5.71 (((~v90(constB157, bitIndex0)) <=> v90(constB156, bitIndex0)) | (~v90(constB157, bitIndex0)) | v90(constB156, bitIndex0)),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19349,plain,
% 7.52/5.71 (~v90(constB157, bitIndex0)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19348, 19347, 19333])).
% 7.52/5.71 tff(19350,plain,
% 7.52/5.71 ((~(v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)))) | v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19351,plain,
% 7.52/5.71 (~(v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19350, 19227, 19349, 19198])).
% 7.52/5.71 tff(19352,plain,
% 7.52/5.71 ((~(v125(constB157) <=> (~(v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)))))) | v125(constB157) | (v90(constB157, bitIndex0) | (~v90(constB157, bitIndex1)) | (~v90(constB157, bitIndex2)))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19353,plain,
% 7.52/5.71 (v125(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19352, 19351, 19331])).
% 7.52/5.71 tff(19354,plain,
% 7.52/5.71 ((v114(constB157) | v125(constB157)) | (~v125(constB157))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19355,plain,
% 7.52/5.71 (v114(constB157) | v125(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19354, 19353])).
% 7.52/5.71 tff(19356,plain,
% 7.52/5.71 ((~(v113(constB157) <=> (v114(constB157) | v125(constB157)))) | v113(constB157) | (~(v114(constB157) | v125(constB157)))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19357,plain,
% 7.52/5.71 (v113(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19356, 19355, 19329])).
% 7.52/5.71 tff(19358,plain,
% 7.52/5.71 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB157)) <=> v111(constB157))),
% 7.52/5.71 inference(quant_inst,[status(thm)],[])).
% 7.52/5.71 tff(19359,plain,
% 7.52/5.71 ((~v126(constB157)) <=> v111(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19358, 4118])).
% 7.52/5.71 tff(19360,plain,
% 7.52/5.71 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157) | v111(constB157)),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19361,plain,
% 7.52/5.71 ((~((~v126(constB157)) <=> v111(constB157))) | v126(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19360, 13329])).
% 7.52/5.71 tff(19362,plain,
% 7.52/5.71 (v126(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19361, 19359])).
% 7.52/5.71 tff(19363,plain,
% 7.52/5.71 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157)) | (~v126(constB157))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19364,plain,
% 7.52/5.71 ((~((~v113(constB157)) | (~v126(constB157)))) | (~v113(constB157))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19363, 19362])).
% 7.52/5.71 tff(19365,plain,
% 7.52/5.71 (~((~v113(constB157)) | (~v126(constB157)))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19364, 19357])).
% 7.52/5.71 tff(19366,plain,
% 7.52/5.71 ((~(v112(constB157) <=> (~((~v113(constB157)) | (~v126(constB157)))))) | v112(constB157) | ((~v113(constB157)) | (~v126(constB157)))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19367,plain,
% 7.52/5.71 (v112(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19366, 19365, 19327])).
% 7.52/5.71 tff(19368,plain,
% 7.52/5.71 ((v111(constB157) | v112(constB157)) | (~v112(constB157))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19369,plain,
% 7.52/5.71 (v111(constB157) | v112(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19368, 19367])).
% 7.52/5.71 tff(19370,plain,
% 7.52/5.71 ((~(v108(constB157) <=> (v111(constB157) | v112(constB157)))) | v108(constB157) | (~(v111(constB157) | v112(constB157)))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19371,plain,
% 7.52/5.71 (v108(constB157)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19370, 19369, 19325])).
% 7.52/5.71 tff(19372,plain,
% 7.52/5.71 ((~(v110(constB158) <=> v108(constB157))) | v110(constB158) | (~v108(constB157))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19373,plain,
% 7.52/5.71 (v110(constB158)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19372, 19371, 19323])).
% 7.52/5.71 tff(19374,plain,
% 7.52/5.71 ((~((~v101(constB158)) | (~v110(constB158)))) | (~v101(constB158)) | (~v110(constB158))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19375,plain,
% 7.52/5.71 (~((~v101(constB158)) | (~v110(constB158)))),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19374, 19373, 19319])).
% 7.52/5.71 tff(19376,plain,
% 7.52/5.71 ((~(v100(constB158) <=> (~((~v101(constB158)) | (~v110(constB158)))))) | v100(constB158) | ((~v101(constB158)) | (~v110(constB158)))),
% 7.52/5.71 inference(tautology,[status(thm)],[])).
% 7.52/5.71 tff(19377,plain,
% 7.52/5.71 (v100(constB158)),
% 7.52/5.71 inference(unit_resolution,[status(thm)],[19376, 19375, 19291])).
% 7.52/5.71 tff(19378,plain,
% 7.52/5.71 (((~![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)))))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19379,plain,
% 7.52/5.71 (((~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)))))),
% 7.52/5.71 inference(rewrite,[status(thm)],[])).
% 7.52/5.71 tff(19380,plain,
% 7.52/5.71 (((~![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))))))),
% 7.52/5.71 inference(monotonicity,[status(thm)],[19379])).
% 7.52/5.71 tff(19381,plain,
% 7.52/5.71 (((~![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)))))),
% 7.52/5.72 inference(transitivity,[status(thm)],[19380, 19378])).
% 7.52/5.72 tff(19382,plain,
% 7.52/5.72 ((~![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)))))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19383,plain,
% 7.52/5.72 ((~![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))))),
% 7.52/5.72 inference(modus_ponens,[status(thm)],[19382, 19381])).
% 7.52/5.72 tff(19384,plain,
% 7.52/5.72 ((~v100(constB158)) | (~(((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19383, 4151])).
% 7.52/5.72 tff(19385,plain,
% 7.52/5.72 (~(((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19384, 19377])).
% 7.52/5.72 tff(19386,plain,
% 7.52/5.72 ((((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))) | (~((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19387,plain,
% 7.52/5.72 (~((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19386, 19385])).
% 7.52/5.72 tff(19388,plain,
% 7.52/5.72 (((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19389,plain,
% 7.52/5.72 (~v90(constB158, bitIndex2)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19388, 19387, 19287])).
% 7.52/5.72 tff(19390,plain,
% 7.52/5.72 (((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | (~v90(constB159, bitIndex2)) | v90(constB158, bitIndex2)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19391,plain,
% 7.52/5.72 (~v90(constB159, bitIndex2)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19390, 19389, 13313])).
% 7.52/5.72 tff(19392,plain,
% 7.52/5.72 ((((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))) | (~((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19393,plain,
% 7.52/5.72 (~((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19392, 13311])).
% 7.52/5.72 tff(19394,plain,
% 7.52/5.72 ((((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0))) | (~((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19395,plain,
% 7.52/5.72 (~((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19394, 13320])).
% 7.52/5.72 tff(19396,plain,
% 7.52/5.72 ((((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1))) | (~((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19397,plain,
% 7.52/5.72 (~((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19396, 13334])).
% 7.52/5.72 tff(19398,plain,
% 7.52/5.72 ((v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0))) | v130(constB157, bitIndex0)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19399,plain,
% 7.52/5.72 (v130(constB157, bitIndex0)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19398, 19281])).
% 7.52/5.72 tff(19400,plain,
% 7.52/5.72 (((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)) | v127(constB157, bitIndex0) | (~v130(constB157, bitIndex0))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19401,plain,
% 7.52/5.72 (v127(constB157, bitIndex0)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19400, 19399, 19397])).
% 7.52/5.72 tff(19402,plain,
% 7.52/5.72 (((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0)) | v129(constB158, bitIndex0) | (~v127(constB157, bitIndex0))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19403,plain,
% 7.52/5.72 (v129(constB158, bitIndex0)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19402, 19401, 19395])).
% 7.52/5.72 tff(19404,plain,
% 7.52/5.72 ((((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))) | (~((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19405,plain,
% 7.52/5.72 (~((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19404, 19385])).
% 7.52/5.72 tff(19406,plain,
% 7.52/5.72 (((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | v90(constB158, bitIndex0) | (~v129(constB158, bitIndex0))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19407,plain,
% 7.52/5.72 (v90(constB158, bitIndex0)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19406, 19405, 19403])).
% 7.52/5.72 tff(19408,plain,
% 7.52/5.72 (((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0)) | v90(constB159, bitIndex0) | (~v90(constB158, bitIndex0))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19409,plain,
% 7.52/5.72 (v90(constB159, bitIndex0)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19408, 19407, 19393])).
% 7.52/5.72 tff(19410,plain,
% 7.52/5.72 ((((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | ((~v90(constB159, bitIndex2)) <=> v90(constB158, bitIndex2)) | ((~v90(constB159, bitIndex0)) <=> v90(constB158, bitIndex0))) | (~((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19411,plain,
% 7.52/5.72 (~((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19410, 13311])).
% 7.52/5.72 tff(19412,plain,
% 7.52/5.72 ((((~v129(constB158, bitIndex2)) <=> v127(constB157, bitIndex2)) | ((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | ((~v129(constB158, bitIndex0)) <=> v127(constB157, bitIndex0))) | (~((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19413,plain,
% 7.52/5.72 (~((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19412, 13320])).
% 7.52/5.72 tff(19414,plain,
% 7.52/5.72 ((((~v127(constB157, bitIndex2)) <=> v130(constB157, bitIndex2)) | ((~v127(constB157, bitIndex0)) <=> v130(constB157, bitIndex0)) | ((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1))) | (~((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19415,plain,
% 7.52/5.72 (~((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19414, 13334])).
% 7.52/5.72 tff(19416,plain,
% 7.52/5.72 ((v130(constB157, bitIndex2) | v130(constB157, bitIndex1) | (~v130(constB157, bitIndex0))) | (~v130(constB157, bitIndex1))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19417,plain,
% 7.52/5.72 (~v130(constB157, bitIndex1)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19416, 19281])).
% 7.52/5.72 tff(19418,plain,
% 7.52/5.72 (((~v127(constB157, bitIndex1)) <=> v130(constB157, bitIndex1)) | (~v127(constB157, bitIndex1)) | v130(constB157, bitIndex1)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19419,plain,
% 7.52/5.72 (~v127(constB157, bitIndex1)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19418, 19417, 19415])).
% 7.52/5.72 tff(19420,plain,
% 7.52/5.72 (((~v129(constB158, bitIndex1)) <=> v127(constB157, bitIndex1)) | (~v129(constB158, bitIndex1)) | v127(constB157, bitIndex1)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19421,plain,
% 7.52/5.72 (~v129(constB158, bitIndex1)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19420, 19419, 19413])).
% 7.52/5.72 tff(19422,plain,
% 7.52/5.72 ((((~v90(constB158, bitIndex0)) <=> v129(constB158, bitIndex0)) | ((~v90(constB158, bitIndex2)) <=> v129(constB158, bitIndex2)) | ((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))) | (~((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19423,plain,
% 7.52/5.72 (~((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19422, 19385])).
% 7.52/5.72 tff(19424,plain,
% 7.52/5.72 (((~v90(constB158, bitIndex1)) <=> v129(constB158, bitIndex1)) | (~v90(constB158, bitIndex1)) | v129(constB158, bitIndex1)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19425,plain,
% 7.52/5.72 (~v90(constB158, bitIndex1)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19424, 19423, 19421])).
% 7.52/5.72 tff(19426,plain,
% 7.52/5.72 (((~v90(constB159, bitIndex1)) <=> v90(constB158, bitIndex1)) | (~v90(constB159, bitIndex1)) | v90(constB158, bitIndex1)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19427,plain,
% 7.52/5.72 (~v90(constB159, bitIndex1)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19426, 19425, 19411])).
% 7.52/5.72 tff(19428,plain,
% 7.52/5.72 ((~(v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0)))) | v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19429,plain,
% 7.52/5.72 (~(v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0)))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19428, 19427, 19409, 19391])).
% 7.52/5.72 tff(19430,plain,
% 7.52/5.72 ((~(v120(constB159) <=> (~(v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0)))))) | v120(constB159) | (v90(constB159, bitIndex1) | v90(constB159, bitIndex2) | (~v90(constB159, bitIndex0)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19431,plain,
% 7.52/5.72 (v120(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19430, 19429, 13277])).
% 7.52/5.72 tff(19432,plain,
% 7.52/5.72 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB159)) | (~(v130(constB159, bitIndex2) | v130(constB159, bitIndex0) | (~v130(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB159)) | (~(v130(constB159, bitIndex2) | v130(constB159, bitIndex0) | (~v130(constB159, bitIndex1)))))),
% 7.52/5.72 inference(rewrite,[status(thm)],[])).
% 7.52/5.72 tff(19433,plain,
% 7.52/5.72 (((~v120(constB159)) | (~(v130(constB159, bitIndex0) | v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1))))) <=> ((~v120(constB159)) | (~(v130(constB159, bitIndex2) | v130(constB159, bitIndex0) | (~v130(constB159, bitIndex1)))))),
% 7.52/5.72 inference(rewrite,[status(thm)],[])).
% 7.52/5.72 tff(19434,plain,
% 7.52/5.72 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB159)) | (~(v130(constB159, bitIndex0) | v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB159)) | (~(v130(constB159, bitIndex2) | v130(constB159, bitIndex0) | (~v130(constB159, bitIndex1))))))),
% 7.52/5.72 inference(monotonicity,[status(thm)],[19433])).
% 7.52/5.72 tff(19435,plain,
% 7.52/5.72 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB159)) | (~(v130(constB159, bitIndex0) | v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB159)) | (~(v130(constB159, bitIndex2) | v130(constB159, bitIndex0) | (~v130(constB159, bitIndex1)))))),
% 7.52/5.72 inference(transitivity,[status(thm)],[19434, 19432])).
% 7.52/5.72 tff(19436,plain,
% 7.52/5.72 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB159)) | (~(v130(constB159, bitIndex0) | v130(constB159, bitIndex2) | (~v130(constB159, bitIndex1)))))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19437,plain,
% 7.52/5.72 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB159)) | (~(v130(constB159, bitIndex2) | v130(constB159, bitIndex0) | (~v130(constB159, bitIndex1))))),
% 7.52/5.72 inference(modus_ponens,[status(thm)],[19436, 19435])).
% 7.52/5.72 tff(19438,plain,
% 7.52/5.72 ((~v120(constB159)) | (~(v130(constB159, bitIndex2) | v130(constB159, bitIndex0) | (~v130(constB159, bitIndex1))))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19437, 4218])).
% 7.52/5.72 tff(19439,plain,
% 7.52/5.72 (~(v130(constB159, bitIndex2) | v130(constB159, bitIndex0) | (~v130(constB159, bitIndex1)))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19438, 19431])).
% 7.52/5.72 tff(19440,plain,
% 7.52/5.72 ((v130(constB159, bitIndex2) | v130(constB159, bitIndex0) | (~v130(constB159, bitIndex1))) | (~v130(constB159, bitIndex2))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19441,plain,
% 7.52/5.72 (~v130(constB159, bitIndex2)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19440, 19439])).
% 7.52/5.72 tff(19442,plain,
% 7.52/5.72 (((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | (~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19443,plain,
% 7.52/5.72 (~v127(constB159, bitIndex2)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19442, 19441, 13275])).
% 7.52/5.72 tff(19444,plain,
% 7.52/5.72 (((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | (~v129(constB160, bitIndex2)) | v127(constB159, bitIndex2)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19445,plain,
% 7.52/5.72 (~v129(constB160, bitIndex2)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19444, 19443, 13261])).
% 7.52/5.72 tff(19446,plain,
% 7.52/5.72 (((~![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))))))),
% 7.52/5.72 inference(rewrite,[status(thm)],[])).
% 7.52/5.72 tff(19447,plain,
% 7.52/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19448,plain,
% 7.52/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB159, constB160)) | (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))),
% 7.52/5.72 inference(modus_ponens,[status(thm)],[19447, 19446])).
% 7.52/5.72 tff(19449,plain,
% 7.52/5.72 (v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160))))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19448, 13255, 433])).
% 7.52/5.72 tff(19450,plain,
% 7.52/5.72 (((~![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))))))),
% 7.52/5.72 inference(rewrite,[status(thm)],[])).
% 7.52/5.72 tff(19451,plain,
% 7.52/5.72 (((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160)))))) <=> ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))))),
% 7.52/5.72 inference(rewrite,[status(thm)],[])).
% 7.52/5.72 tff(19452,plain,
% 7.52/5.72 (((~![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)))))))),
% 7.52/5.72 inference(monotonicity,[status(thm)],[19451])).
% 7.52/5.72 tff(19453,plain,
% 7.52/5.72 (((~![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))))))),
% 7.52/5.72 inference(transitivity,[status(thm)],[19452, 19450])).
% 7.52/5.72 tff(19454,plain,
% 7.52/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v102(constB160)) | (~v1(constB160))))))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19455,plain,
% 7.52/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))),
% 7.52/5.72 inference(modus_ponens,[status(thm)],[19454, 19453])).
% 7.52/5.72 tff(19456,plain,
% 7.52/5.72 (v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160))))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19455, 13255, 453])).
% 7.52/5.72 tff(19457,plain,
% 7.52/5.72 (((~![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)))),
% 7.52/5.72 inference(rewrite,[status(thm)],[])).
% 7.52/5.72 tff(19458,plain,
% 7.52/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160)))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19459,plain,
% 7.52/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB159, constB160)) | ((~v102(constB160)) <=> v104(constB160))),
% 7.52/5.72 inference(modus_ponens,[status(thm)],[19458, 19457])).
% 7.52/5.72 tff(19460,plain,
% 7.52/5.72 ((~v102(constB160)) <=> v104(constB160)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19459, 13255, 3966])).
% 7.52/5.72 tff(19461,plain,
% 7.52/5.72 (((~![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)))),
% 7.52/5.72 inference(rewrite,[status(thm)],[])).
% 7.52/5.72 tff(19462,plain,
% 7.52/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159)))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19463,plain,
% 7.52/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v1(constB159))),
% 7.52/5.72 inference(modus_ponens,[status(thm)],[19462, 19461])).
% 7.52/5.72 tff(19464,plain,
% 7.52/5.72 (v104(constB160) <=> v1(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19463, 13255, 3980])).
% 7.52/5.72 tff(19465,plain,
% 7.52/5.72 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160)) | v1(constB159)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19466,plain,
% 7.52/5.72 ((~(v104(constB160) <=> v1(constB159))) | (~v104(constB160))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19465, 13294])).
% 7.52/5.72 tff(19467,plain,
% 7.52/5.72 (~v104(constB160)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19466, 19464])).
% 7.52/5.72 tff(19468,plain,
% 7.52/5.72 ((~((~v102(constB160)) <=> v104(constB160))) | v102(constB160) | v104(constB160)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19469,plain,
% 7.52/5.72 (v102(constB160)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19468, 19467, 19460])).
% 7.52/5.72 tff(19470,plain,
% 7.52/5.72 (v1(constB160) <=> v1(constB160)),
% 7.52/5.72 inference(rewrite,[status(thm)],[])).
% 7.52/5.72 tff(19471,axiom,(v1(constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_160')).
% 7.52/5.72 tff(19472,plain,
% 7.52/5.72 (v1(constB160)),
% 7.52/5.72 inference(modus_ponens,[status(thm)],[19471, 19470])).
% 7.52/5.72 tff(19473,plain,
% 7.52/5.72 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v1(constB160)) | (~v102(constB160))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19474,plain,
% 7.52/5.72 ((~((~v1(constB160)) | (~v102(constB160)))) | (~v102(constB160))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19473, 19472])).
% 7.52/5.72 tff(19475,plain,
% 7.52/5.72 (~((~v1(constB160)) | (~v102(constB160)))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19474, 19469])).
% 7.52/5.72 tff(19476,plain,
% 7.52/5.72 ((~(v101(constB160) <=> (~((~v1(constB160)) | (~v102(constB160)))))) | v101(constB160) | ((~v1(constB160)) | (~v102(constB160)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19477,plain,
% 7.52/5.72 (v101(constB160)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19476, 19475, 19456])).
% 7.52/5.72 tff(19478,plain,
% 7.52/5.72 (((~![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)))),
% 7.52/5.72 inference(rewrite,[status(thm)],[])).
% 7.52/5.72 tff(19479,plain,
% 7.52/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159)))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19480,plain,
% 7.52/5.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB159, constB160)) | (v110(constB160) <=> v108(constB159))),
% 7.52/5.72 inference(modus_ponens,[status(thm)],[19479, 19478])).
% 7.52/5.72 tff(19481,plain,
% 7.52/5.72 (v110(constB160) <=> v108(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19480, 13255, 4007])).
% 7.52/5.72 tff(19482,plain,
% 7.52/5.72 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB159) <=> (v111(constB159) | v112(constB159)))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19483,plain,
% 7.52/5.72 (v108(constB159) <=> (v111(constB159) | v112(constB159))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19482, 4018])).
% 7.52/5.72 tff(19484,plain,
% 7.52/5.72 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19485,plain,
% 7.52/5.72 (v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159))))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19484, 4030])).
% 7.52/5.72 tff(19486,plain,
% 7.52/5.72 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB159) <=> (v114(constB159) | v125(constB159)))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19487,plain,
% 7.52/5.72 (v113(constB159) <=> (v114(constB159) | v125(constB159))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19486, 4039])).
% 7.52/5.72 tff(19488,plain,
% 7.52/5.72 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB159) <=> (v115(constB159) | v124(constB159)))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19489,plain,
% 7.52/5.72 (v114(constB159) <=> (v115(constB159) | v124(constB159))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19488, 4048])).
% 7.52/5.72 tff(19490,plain,
% 7.52/5.72 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB159) <=> (v116(constB159) | v123(constB159)))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19491,plain,
% 7.52/5.72 (v115(constB159) <=> (v116(constB159) | v123(constB159))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19490, 4057])).
% 7.52/5.72 tff(19492,plain,
% 7.52/5.72 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB159) <=> (v117(constB159) | v122(constB159)))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19493,plain,
% 7.52/5.72 (v116(constB159) <=> (v117(constB159) | v122(constB159))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19492, 4066])).
% 7.52/5.72 tff(19494,plain,
% 7.52/5.72 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB159) <=> (v118(constB159) | v121(constB159)))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19495,plain,
% 7.52/5.72 (v117(constB159) <=> (v118(constB159) | v121(constB159))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19494, 4075])).
% 7.52/5.72 tff(19496,plain,
% 7.52/5.72 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB159) <=> (v119(constB159) | v120(constB159)))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19497,plain,
% 7.52/5.72 (v118(constB159) <=> (v119(constB159) | v120(constB159))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19496, 4084])).
% 7.52/5.72 tff(19498,plain,
% 7.52/5.72 ((v119(constB159) | v120(constB159)) | (~v120(constB159))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19499,plain,
% 7.52/5.72 (v119(constB159) | v120(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19498, 19431])).
% 7.52/5.72 tff(19500,plain,
% 7.52/5.72 ((~(v118(constB159) <=> (v119(constB159) | v120(constB159)))) | v118(constB159) | (~(v119(constB159) | v120(constB159)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19501,plain,
% 7.52/5.72 (v118(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19500, 19499, 19497])).
% 7.52/5.72 tff(19502,plain,
% 7.52/5.72 ((v118(constB159) | v121(constB159)) | (~v118(constB159))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19503,plain,
% 7.52/5.72 (v118(constB159) | v121(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19502, 19501])).
% 7.52/5.72 tff(19504,plain,
% 7.52/5.72 ((~(v117(constB159) <=> (v118(constB159) | v121(constB159)))) | v117(constB159) | (~(v118(constB159) | v121(constB159)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19505,plain,
% 7.52/5.72 (v117(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19504, 19503, 19495])).
% 7.52/5.72 tff(19506,plain,
% 7.52/5.72 ((v117(constB159) | v122(constB159)) | (~v117(constB159))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19507,plain,
% 7.52/5.72 (v117(constB159) | v122(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19506, 19505])).
% 7.52/5.72 tff(19508,plain,
% 7.52/5.72 ((~(v116(constB159) <=> (v117(constB159) | v122(constB159)))) | v116(constB159) | (~(v117(constB159) | v122(constB159)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19509,plain,
% 7.52/5.72 (v116(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19508, 19507, 19493])).
% 7.52/5.72 tff(19510,plain,
% 7.52/5.72 ((v116(constB159) | v123(constB159)) | (~v116(constB159))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19511,plain,
% 7.52/5.72 (v116(constB159) | v123(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19510, 19509])).
% 7.52/5.72 tff(19512,plain,
% 7.52/5.72 ((~(v115(constB159) <=> (v116(constB159) | v123(constB159)))) | v115(constB159) | (~(v116(constB159) | v123(constB159)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19513,plain,
% 7.52/5.72 (v115(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19512, 19511, 19491])).
% 7.52/5.72 tff(19514,plain,
% 7.52/5.72 ((v115(constB159) | v124(constB159)) | (~v115(constB159))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19515,plain,
% 7.52/5.72 (v115(constB159) | v124(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19514, 19513])).
% 7.52/5.72 tff(19516,plain,
% 7.52/5.72 ((~(v114(constB159) <=> (v115(constB159) | v124(constB159)))) | v114(constB159) | (~(v115(constB159) | v124(constB159)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19517,plain,
% 7.52/5.72 (v114(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19516, 19515, 19489])).
% 7.52/5.72 tff(19518,plain,
% 7.52/5.72 ((v114(constB159) | v125(constB159)) | (~v114(constB159))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19519,plain,
% 7.52/5.72 (v114(constB159) | v125(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19518, 19517])).
% 7.52/5.72 tff(19520,plain,
% 7.52/5.72 ((~(v113(constB159) <=> (v114(constB159) | v125(constB159)))) | v113(constB159) | (~(v114(constB159) | v125(constB159)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19521,plain,
% 7.52/5.72 (v113(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19520, 19519, 19487])).
% 7.52/5.72 tff(19522,plain,
% 7.52/5.72 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB159)) <=> v111(constB159))),
% 7.52/5.72 inference(quant_inst,[status(thm)],[])).
% 7.52/5.72 tff(19523,plain,
% 7.52/5.72 ((~v126(constB159)) <=> v111(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19522, 4118])).
% 7.52/5.72 tff(19524,plain,
% 7.52/5.72 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159) | v111(constB159)),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19525,plain,
% 7.52/5.72 ((~((~v126(constB159)) <=> v111(constB159))) | v126(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19524, 13268])).
% 7.52/5.72 tff(19526,plain,
% 7.52/5.72 (v126(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19525, 19523])).
% 7.52/5.72 tff(19527,plain,
% 7.52/5.72 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159)) | (~v126(constB159))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19528,plain,
% 7.52/5.72 ((~((~v113(constB159)) | (~v126(constB159)))) | (~v113(constB159))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19527, 19526])).
% 7.52/5.72 tff(19529,plain,
% 7.52/5.72 (~((~v113(constB159)) | (~v126(constB159)))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19528, 19521])).
% 7.52/5.72 tff(19530,plain,
% 7.52/5.72 ((~(v112(constB159) <=> (~((~v113(constB159)) | (~v126(constB159)))))) | v112(constB159) | ((~v113(constB159)) | (~v126(constB159)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19531,plain,
% 7.52/5.72 (v112(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19530, 19529, 19485])).
% 7.52/5.72 tff(19532,plain,
% 7.52/5.72 ((v111(constB159) | v112(constB159)) | (~v112(constB159))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19533,plain,
% 7.52/5.72 (v111(constB159) | v112(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19532, 19531])).
% 7.52/5.72 tff(19534,plain,
% 7.52/5.72 ((~(v108(constB159) <=> (v111(constB159) | v112(constB159)))) | v108(constB159) | (~(v111(constB159) | v112(constB159)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19535,plain,
% 7.52/5.72 (v108(constB159)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19534, 19533, 19483])).
% 7.52/5.72 tff(19536,plain,
% 7.52/5.72 ((~(v110(constB160) <=> v108(constB159))) | v110(constB160) | (~v108(constB159))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19537,plain,
% 7.52/5.72 (v110(constB160)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19536, 19535, 19481])).
% 7.52/5.72 tff(19538,plain,
% 7.52/5.72 ((~((~v101(constB160)) | (~v110(constB160)))) | (~v101(constB160)) | (~v110(constB160))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19539,plain,
% 7.52/5.72 (~((~v101(constB160)) | (~v110(constB160)))),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19538, 19537, 19477])).
% 7.52/5.72 tff(19540,plain,
% 7.52/5.72 ((~(v100(constB160) <=> (~((~v101(constB160)) | (~v110(constB160)))))) | v100(constB160) | ((~v101(constB160)) | (~v110(constB160)))),
% 7.52/5.72 inference(tautology,[status(thm)],[])).
% 7.52/5.72 tff(19541,plain,
% 7.52/5.72 (v100(constB160)),
% 7.52/5.72 inference(unit_resolution,[status(thm)],[19540, 19539, 19449])).
% 7.52/5.72 tff(19542,plain,
% 7.52/5.73 (((~![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)))))),
% 7.52/5.73 inference(rewrite,[status(thm)],[])).
% 7.52/5.73 tff(19543,plain,
% 7.52/5.73 ((~![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)))))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19544,plain,
% 7.52/5.73 ((~![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))))),
% 7.52/5.73 inference(modus_ponens,[status(thm)],[19543, 19542])).
% 7.52/5.73 tff(19545,plain,
% 7.52/5.73 ((~v100(constB160)) | (~(((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0))))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19544, 4151])).
% 7.52/5.73 tff(19546,plain,
% 7.52/5.73 (~(((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0)))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19545, 19541])).
% 7.52/5.73 tff(19547,plain,
% 7.52/5.73 ((((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0))) | (~((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19548,plain,
% 7.52/5.73 (~((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19547, 19546])).
% 7.52/5.73 tff(19549,plain,
% 7.52/5.73 (((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2)),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19550,plain,
% 7.52/5.73 (~v90(constB160, bitIndex2)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19549, 19548, 19445])).
% 7.52/5.73 tff(19551,plain,
% 7.52/5.73 (((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | (~v90(constB161, bitIndex2)) | v90(constB160, bitIndex2)),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19552,plain,
% 7.52/5.73 (~v90(constB161, bitIndex2)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19551, 19550, 13252])).
% 7.52/5.73 tff(19553,plain,
% 7.52/5.73 ((((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))) | (~((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19554,plain,
% 7.52/5.73 (~((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19553, 13250])).
% 7.52/5.73 tff(19555,plain,
% 7.52/5.73 ((((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0))) | (~((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19556,plain,
% 7.52/5.73 (~((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19555, 13259])).
% 7.52/5.73 tff(19557,plain,
% 7.52/5.73 ((((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1))) | (~((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19558,plain,
% 7.52/5.73 (~((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19557, 13273])).
% 7.52/5.73 tff(19559,plain,
% 7.52/5.73 ((v130(constB159, bitIndex2) | v130(constB159, bitIndex0) | (~v130(constB159, bitIndex1))) | (~v130(constB159, bitIndex0))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19560,plain,
% 7.52/5.73 (~v130(constB159, bitIndex0)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19559, 19439])).
% 7.52/5.73 tff(19561,plain,
% 7.52/5.73 (((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)) | (~v127(constB159, bitIndex0)) | v130(constB159, bitIndex0)),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19562,plain,
% 7.52/5.73 (~v127(constB159, bitIndex0)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19561, 19560, 19558])).
% 7.52/5.73 tff(19563,plain,
% 7.52/5.73 (((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0)) | (~v129(constB160, bitIndex0)) | v127(constB159, bitIndex0)),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19564,plain,
% 7.52/5.73 (~v129(constB160, bitIndex0)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19563, 19562, 19556])).
% 7.52/5.73 tff(19565,plain,
% 7.52/5.73 ((((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0))) | (~((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19566,plain,
% 7.52/5.73 (~((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19565, 19546])).
% 7.52/5.73 tff(19567,plain,
% 7.52/5.73 (((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0)) | (~v90(constB160, bitIndex0)) | v129(constB160, bitIndex0)),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19568,plain,
% 7.52/5.73 (~v90(constB160, bitIndex0)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19567, 19566, 19564])).
% 7.52/5.73 tff(19569,plain,
% 7.52/5.73 (((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0)) | (~v90(constB161, bitIndex0)) | v90(constB160, bitIndex0)),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19570,plain,
% 7.52/5.73 (~v90(constB161, bitIndex0)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19569, 19568, 19554])).
% 7.52/5.73 tff(19571,plain,
% 7.52/5.73 ((((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | ((~v90(constB161, bitIndex2)) <=> v90(constB160, bitIndex2)) | ((~v90(constB161, bitIndex0)) <=> v90(constB160, bitIndex0))) | (~((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19572,plain,
% 7.52/5.73 (~((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19571, 13250])).
% 7.52/5.73 tff(19573,plain,
% 7.52/5.73 ((((~v129(constB160, bitIndex2)) <=> v127(constB159, bitIndex2)) | ((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | ((~v129(constB160, bitIndex0)) <=> v127(constB159, bitIndex0))) | (~((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19574,plain,
% 7.52/5.73 (~((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19573, 13259])).
% 7.52/5.73 tff(19575,plain,
% 7.52/5.73 ((((~v127(constB159, bitIndex2)) <=> v130(constB159, bitIndex2)) | ((~v127(constB159, bitIndex0)) <=> v130(constB159, bitIndex0)) | ((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1))) | (~((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19576,plain,
% 7.52/5.73 (~((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19575, 13273])).
% 7.52/5.73 tff(19577,plain,
% 7.52/5.73 ((v130(constB159, bitIndex2) | v130(constB159, bitIndex0) | (~v130(constB159, bitIndex1))) | v130(constB159, bitIndex1)),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19578,plain,
% 7.52/5.73 (v130(constB159, bitIndex1)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19577, 19439])).
% 7.52/5.73 tff(19579,plain,
% 7.52/5.73 (((~v127(constB159, bitIndex1)) <=> v130(constB159, bitIndex1)) | v127(constB159, bitIndex1) | (~v130(constB159, bitIndex1))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19580,plain,
% 7.52/5.73 (v127(constB159, bitIndex1)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19579, 19578, 19576])).
% 7.52/5.73 tff(19581,plain,
% 7.52/5.73 (((~v129(constB160, bitIndex1)) <=> v127(constB159, bitIndex1)) | v129(constB160, bitIndex1) | (~v127(constB159, bitIndex1))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19582,plain,
% 7.52/5.73 (v129(constB160, bitIndex1)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19581, 19580, 19574])).
% 7.52/5.73 tff(19583,plain,
% 7.52/5.73 ((((~v90(constB160, bitIndex2)) <=> v129(constB160, bitIndex2)) | ((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | ((~v90(constB160, bitIndex0)) <=> v129(constB160, bitIndex0))) | (~((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19584,plain,
% 7.52/5.73 (~((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19583, 19546])).
% 7.52/5.73 tff(19585,plain,
% 7.52/5.73 (((~v90(constB160, bitIndex1)) <=> v129(constB160, bitIndex1)) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19586,plain,
% 7.52/5.73 (v90(constB160, bitIndex1)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19585, 19584, 19582])).
% 7.52/5.73 tff(19587,plain,
% 7.52/5.73 (((~v90(constB161, bitIndex1)) <=> v90(constB160, bitIndex1)) | v90(constB161, bitIndex1) | (~v90(constB160, bitIndex1))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19588,plain,
% 7.52/5.73 (v90(constB161, bitIndex1)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19587, 19586, 19572])).
% 7.52/5.73 tff(19589,plain,
% 7.52/5.73 ((~(v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)))) | v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19590,plain,
% 7.52/5.73 (~(v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19589, 19588, 19570, 19552])).
% 7.52/5.73 tff(19591,plain,
% 7.52/5.73 ((~(v121(constB161) <=> (~(v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)))))) | v121(constB161) | (v90(constB161, bitIndex2) | v90(constB161, bitIndex0) | (~v90(constB161, bitIndex1)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19592,plain,
% 7.52/5.73 (v121(constB161)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19591, 19590, 13216])).
% 7.52/5.73 tff(19593,plain,
% 7.52/5.73 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB161)) | (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex0)) | (~v130(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB161)) | (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex0)) | (~v130(constB161, bitIndex1)))))),
% 7.52/5.73 inference(rewrite,[status(thm)],[])).
% 7.52/5.73 tff(19594,plain,
% 7.52/5.73 (((~v121(constB161)) | (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex1)) | (~v130(constB161, bitIndex0))))) <=> ((~v121(constB161)) | (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex0)) | (~v130(constB161, bitIndex1)))))),
% 7.52/5.73 inference(rewrite,[status(thm)],[])).
% 7.52/5.73 tff(19595,plain,
% 7.52/5.73 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB161)) | (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex1)) | (~v130(constB161, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB161)) | (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex0)) | (~v130(constB161, bitIndex1))))))),
% 7.52/5.73 inference(monotonicity,[status(thm)],[19594])).
% 7.52/5.73 tff(19596,plain,
% 7.52/5.73 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB161)) | (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex1)) | (~v130(constB161, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB161)) | (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex0)) | (~v130(constB161, bitIndex1)))))),
% 7.52/5.73 inference(transitivity,[status(thm)],[19595, 19593])).
% 7.52/5.73 tff(19597,plain,
% 7.52/5.73 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB161)) | (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex1)) | (~v130(constB161, bitIndex0)))))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19598,plain,
% 7.52/5.73 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB161)) | (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex0)) | (~v130(constB161, bitIndex1))))),
% 7.52/5.73 inference(modus_ponens,[status(thm)],[19597, 19596])).
% 7.52/5.73 tff(19599,plain,
% 7.52/5.73 ((~v121(constB161)) | (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex0)) | (~v130(constB161, bitIndex1))))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19598, 4392])).
% 7.52/5.73 tff(19600,plain,
% 7.52/5.73 (~(v130(constB161, bitIndex2) | (~v130(constB161, bitIndex0)) | (~v130(constB161, bitIndex1)))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19599, 19592])).
% 7.52/5.73 tff(19601,plain,
% 7.52/5.73 ((v130(constB161, bitIndex2) | (~v130(constB161, bitIndex0)) | (~v130(constB161, bitIndex1))) | (~v130(constB161, bitIndex2))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19602,plain,
% 7.52/5.73 (~v130(constB161, bitIndex2)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19601, 19600])).
% 7.52/5.73 tff(19603,plain,
% 7.52/5.73 (((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | (~v127(constB161, bitIndex2)) | v130(constB161, bitIndex2)),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19604,plain,
% 7.52/5.73 (~v127(constB161, bitIndex2)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19603, 19602, 13209])).
% 7.52/5.73 tff(19605,plain,
% 7.52/5.73 (((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | (~v129(constB162, bitIndex2)) | v127(constB161, bitIndex2)),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19606,plain,
% 7.52/5.73 (~v129(constB162, bitIndex2)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19605, 19604, 13195])).
% 7.52/5.73 tff(19607,plain,
% 7.52/5.73 (((~![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))))))),
% 7.52/5.73 inference(rewrite,[status(thm)],[])).
% 7.52/5.73 tff(19608,plain,
% 7.52/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19609,plain,
% 7.52/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB161, constB162)) | (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))),
% 7.52/5.73 inference(modus_ponens,[status(thm)],[19608, 19607])).
% 7.52/5.73 tff(19610,plain,
% 7.52/5.73 (v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162))))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19609, 13189, 433])).
% 7.52/5.73 tff(19611,plain,
% 7.52/5.73 (((~![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))))))),
% 7.52/5.73 inference(rewrite,[status(thm)],[])).
% 7.52/5.73 tff(19612,plain,
% 7.52/5.73 (((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162)))))) <=> ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))))),
% 7.52/5.73 inference(rewrite,[status(thm)],[])).
% 7.52/5.73 tff(19613,plain,
% 7.52/5.73 (((~![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)))))))),
% 7.52/5.73 inference(monotonicity,[status(thm)],[19612])).
% 7.52/5.73 tff(19614,plain,
% 7.52/5.73 (((~![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))))))),
% 7.52/5.73 inference(transitivity,[status(thm)],[19613, 19611])).
% 7.52/5.73 tff(19615,plain,
% 7.52/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v102(constB162)) | (~v1(constB162))))))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19616,plain,
% 7.52/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))),
% 7.52/5.73 inference(modus_ponens,[status(thm)],[19615, 19614])).
% 7.52/5.73 tff(19617,plain,
% 7.52/5.73 (v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162))))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19616, 13189, 453])).
% 7.52/5.73 tff(19618,plain,
% 7.52/5.73 (((~![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)))),
% 7.52/5.73 inference(rewrite,[status(thm)],[])).
% 7.52/5.73 tff(19619,plain,
% 7.52/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162)))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19620,plain,
% 7.52/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB161, constB162)) | ((~v102(constB162)) <=> v104(constB162))),
% 7.52/5.73 inference(modus_ponens,[status(thm)],[19619, 19618])).
% 7.52/5.73 tff(19621,plain,
% 7.52/5.73 ((~v102(constB162)) <=> v104(constB162)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19620, 13189, 3966])).
% 7.52/5.73 tff(19622,plain,
% 7.52/5.73 (((~![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)))),
% 7.52/5.73 inference(rewrite,[status(thm)],[])).
% 7.52/5.73 tff(19623,plain,
% 7.52/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161)))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19624,plain,
% 7.52/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v1(constB161))),
% 7.52/5.73 inference(modus_ponens,[status(thm)],[19623, 19622])).
% 7.52/5.73 tff(19625,plain,
% 7.52/5.73 (v104(constB162) <=> v1(constB161)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19624, 13189, 3980])).
% 7.52/5.73 tff(19626,plain,
% 7.52/5.73 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162)) | v1(constB161)),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19627,plain,
% 7.52/5.73 ((~(v104(constB162) <=> v1(constB161))) | (~v104(constB162))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19626, 13233])).
% 7.52/5.73 tff(19628,plain,
% 7.52/5.73 (~v104(constB162)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19627, 19625])).
% 7.52/5.73 tff(19629,plain,
% 7.52/5.73 ((~((~v102(constB162)) <=> v104(constB162))) | v102(constB162) | v104(constB162)),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19630,plain,
% 7.52/5.73 (v102(constB162)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19629, 19628, 19621])).
% 7.52/5.73 tff(19631,plain,
% 7.52/5.73 (v1(constB162) <=> v1(constB162)),
% 7.52/5.73 inference(rewrite,[status(thm)],[])).
% 7.52/5.73 tff(19632,axiom,(v1(constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_162')).
% 7.52/5.73 tff(19633,plain,
% 7.52/5.73 (v1(constB162)),
% 7.52/5.73 inference(modus_ponens,[status(thm)],[19632, 19631])).
% 7.52/5.73 tff(19634,plain,
% 7.52/5.73 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v1(constB162)) | (~v102(constB162))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19635,plain,
% 7.52/5.73 ((~((~v1(constB162)) | (~v102(constB162)))) | (~v102(constB162))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19634, 19633])).
% 7.52/5.73 tff(19636,plain,
% 7.52/5.73 (~((~v1(constB162)) | (~v102(constB162)))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19635, 19630])).
% 7.52/5.73 tff(19637,plain,
% 7.52/5.73 ((~(v101(constB162) <=> (~((~v1(constB162)) | (~v102(constB162)))))) | v101(constB162) | ((~v1(constB162)) | (~v102(constB162)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19638,plain,
% 7.52/5.73 (v101(constB162)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19637, 19636, 19617])).
% 7.52/5.73 tff(19639,plain,
% 7.52/5.73 (((~![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)))),
% 7.52/5.73 inference(rewrite,[status(thm)],[])).
% 7.52/5.73 tff(19640,plain,
% 7.52/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161)))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19641,plain,
% 7.52/5.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB161, constB162)) | (v110(constB162) <=> v108(constB161))),
% 7.52/5.73 inference(modus_ponens,[status(thm)],[19640, 19639])).
% 7.52/5.73 tff(19642,plain,
% 7.52/5.73 (v110(constB162) <=> v108(constB161)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19641, 13189, 4007])).
% 7.52/5.73 tff(19643,plain,
% 7.52/5.73 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB161) <=> (v111(constB161) | v112(constB161)))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19644,plain,
% 7.52/5.73 (v108(constB161) <=> (v111(constB161) | v112(constB161))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19643, 4018])).
% 7.52/5.73 tff(19645,plain,
% 7.52/5.73 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19646,plain,
% 7.52/5.73 (v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161))))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19645, 4030])).
% 7.52/5.73 tff(19647,plain,
% 7.52/5.73 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB161) <=> (v114(constB161) | v125(constB161)))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19648,plain,
% 7.52/5.73 (v113(constB161) <=> (v114(constB161) | v125(constB161))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19647, 4039])).
% 7.52/5.73 tff(19649,plain,
% 7.52/5.73 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB161) <=> (v115(constB161) | v124(constB161)))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19650,plain,
% 7.52/5.73 (v114(constB161) <=> (v115(constB161) | v124(constB161))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19649, 4048])).
% 7.52/5.73 tff(19651,plain,
% 7.52/5.73 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB161) <=> (v116(constB161) | v123(constB161)))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19652,plain,
% 7.52/5.73 (v115(constB161) <=> (v116(constB161) | v123(constB161))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19651, 4057])).
% 7.52/5.73 tff(19653,plain,
% 7.52/5.73 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB161) <=> (v117(constB161) | v122(constB161)))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19654,plain,
% 7.52/5.73 (v116(constB161) <=> (v117(constB161) | v122(constB161))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19653, 4066])).
% 7.52/5.73 tff(19655,plain,
% 7.52/5.73 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB161) <=> (v118(constB161) | v121(constB161)))),
% 7.52/5.73 inference(quant_inst,[status(thm)],[])).
% 7.52/5.73 tff(19656,plain,
% 7.52/5.73 (v117(constB161) <=> (v118(constB161) | v121(constB161))),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19655, 4075])).
% 7.52/5.73 tff(19657,plain,
% 7.52/5.73 ((v118(constB161) | v121(constB161)) | (~v121(constB161))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19658,plain,
% 7.52/5.73 (v118(constB161) | v121(constB161)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19657, 19592])).
% 7.52/5.73 tff(19659,plain,
% 7.52/5.73 ((~(v117(constB161) <=> (v118(constB161) | v121(constB161)))) | v117(constB161) | (~(v118(constB161) | v121(constB161)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19660,plain,
% 7.52/5.73 (v117(constB161)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19659, 19658, 19656])).
% 7.52/5.73 tff(19661,plain,
% 7.52/5.73 ((v117(constB161) | v122(constB161)) | (~v117(constB161))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19662,plain,
% 7.52/5.73 (v117(constB161) | v122(constB161)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19661, 19660])).
% 7.52/5.73 tff(19663,plain,
% 7.52/5.73 ((~(v116(constB161) <=> (v117(constB161) | v122(constB161)))) | v116(constB161) | (~(v117(constB161) | v122(constB161)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19664,plain,
% 7.52/5.73 (v116(constB161)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19663, 19662, 19654])).
% 7.52/5.73 tff(19665,plain,
% 7.52/5.73 ((v116(constB161) | v123(constB161)) | (~v116(constB161))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19666,plain,
% 7.52/5.73 (v116(constB161) | v123(constB161)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19665, 19664])).
% 7.52/5.73 tff(19667,plain,
% 7.52/5.73 ((~(v115(constB161) <=> (v116(constB161) | v123(constB161)))) | v115(constB161) | (~(v116(constB161) | v123(constB161)))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19668,plain,
% 7.52/5.73 (v115(constB161)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19667, 19666, 19652])).
% 7.52/5.73 tff(19669,plain,
% 7.52/5.73 ((v115(constB161) | v124(constB161)) | (~v115(constB161))),
% 7.52/5.73 inference(tautology,[status(thm)],[])).
% 7.52/5.73 tff(19670,plain,
% 7.52/5.73 (v115(constB161) | v124(constB161)),
% 7.52/5.73 inference(unit_resolution,[status(thm)],[19669, 19668])).
% 7.52/5.73 tff(19671,plain,
% 7.62/5.73 ((~(v114(constB161) <=> (v115(constB161) | v124(constB161)))) | v114(constB161) | (~(v115(constB161) | v124(constB161)))),
% 7.62/5.73 inference(tautology,[status(thm)],[])).
% 7.62/5.73 tff(19672,plain,
% 7.62/5.73 (v114(constB161)),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19671, 19670, 19650])).
% 7.62/5.73 tff(19673,plain,
% 7.62/5.73 ((v114(constB161) | v125(constB161)) | (~v114(constB161))),
% 7.62/5.73 inference(tautology,[status(thm)],[])).
% 7.62/5.73 tff(19674,plain,
% 7.62/5.73 (v114(constB161) | v125(constB161)),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19673, 19672])).
% 7.62/5.73 tff(19675,plain,
% 7.62/5.73 ((~(v113(constB161) <=> (v114(constB161) | v125(constB161)))) | v113(constB161) | (~(v114(constB161) | v125(constB161)))),
% 7.62/5.73 inference(tautology,[status(thm)],[])).
% 7.62/5.73 tff(19676,plain,
% 7.62/5.73 (v113(constB161)),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19675, 19674, 19648])).
% 7.62/5.73 tff(19677,plain,
% 7.62/5.73 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB161)) <=> v111(constB161))),
% 7.62/5.73 inference(quant_inst,[status(thm)],[])).
% 7.62/5.73 tff(19678,plain,
% 7.62/5.73 ((~v126(constB161)) <=> v111(constB161)),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19677, 4118])).
% 7.62/5.73 tff(19679,plain,
% 7.62/5.73 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161) | v111(constB161)),
% 7.62/5.73 inference(tautology,[status(thm)],[])).
% 7.62/5.73 tff(19680,plain,
% 7.62/5.73 ((~((~v126(constB161)) <=> v111(constB161))) | v126(constB161)),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19679, 13202])).
% 7.62/5.73 tff(19681,plain,
% 7.62/5.73 (v126(constB161)),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19680, 19678])).
% 7.62/5.73 tff(19682,plain,
% 7.62/5.73 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161)) | (~v126(constB161))),
% 7.62/5.73 inference(tautology,[status(thm)],[])).
% 7.62/5.73 tff(19683,plain,
% 7.62/5.73 ((~((~v113(constB161)) | (~v126(constB161)))) | (~v113(constB161))),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19682, 19681])).
% 7.62/5.73 tff(19684,plain,
% 7.62/5.73 (~((~v113(constB161)) | (~v126(constB161)))),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19683, 19676])).
% 7.62/5.73 tff(19685,plain,
% 7.62/5.73 ((~(v112(constB161) <=> (~((~v113(constB161)) | (~v126(constB161)))))) | v112(constB161) | ((~v113(constB161)) | (~v126(constB161)))),
% 7.62/5.73 inference(tautology,[status(thm)],[])).
% 7.62/5.73 tff(19686,plain,
% 7.62/5.73 (v112(constB161)),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19685, 19684, 19646])).
% 7.62/5.73 tff(19687,plain,
% 7.62/5.73 ((v111(constB161) | v112(constB161)) | (~v112(constB161))),
% 7.62/5.73 inference(tautology,[status(thm)],[])).
% 7.62/5.73 tff(19688,plain,
% 7.62/5.73 (v111(constB161) | v112(constB161)),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19687, 19686])).
% 7.62/5.73 tff(19689,plain,
% 7.62/5.73 ((~(v108(constB161) <=> (v111(constB161) | v112(constB161)))) | v108(constB161) | (~(v111(constB161) | v112(constB161)))),
% 7.62/5.73 inference(tautology,[status(thm)],[])).
% 7.62/5.73 tff(19690,plain,
% 7.62/5.73 (v108(constB161)),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19689, 19688, 19644])).
% 7.62/5.73 tff(19691,plain,
% 7.62/5.73 ((~(v110(constB162) <=> v108(constB161))) | v110(constB162) | (~v108(constB161))),
% 7.62/5.73 inference(tautology,[status(thm)],[])).
% 7.62/5.73 tff(19692,plain,
% 7.62/5.73 (v110(constB162)),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19691, 19690, 19642])).
% 7.62/5.73 tff(19693,plain,
% 7.62/5.73 ((~((~v101(constB162)) | (~v110(constB162)))) | (~v101(constB162)) | (~v110(constB162))),
% 7.62/5.73 inference(tautology,[status(thm)],[])).
% 7.62/5.73 tff(19694,plain,
% 7.62/5.73 (~((~v101(constB162)) | (~v110(constB162)))),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19693, 19692, 19638])).
% 7.62/5.73 tff(19695,plain,
% 7.62/5.73 ((~(v100(constB162) <=> (~((~v101(constB162)) | (~v110(constB162)))))) | v100(constB162) | ((~v101(constB162)) | (~v110(constB162)))),
% 7.62/5.73 inference(tautology,[status(thm)],[])).
% 7.62/5.73 tff(19696,plain,
% 7.62/5.73 (v100(constB162)),
% 7.62/5.73 inference(unit_resolution,[status(thm)],[19695, 19694, 19610])).
% 7.62/5.73 tff(19697,plain,
% 7.62/5.73 (((~![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)))))),
% 7.62/5.73 inference(rewrite,[status(thm)],[])).
% 7.62/5.73 tff(19698,plain,
% 7.62/5.73 (((~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)))))),
% 7.62/5.73 inference(rewrite,[status(thm)],[])).
% 7.62/5.73 tff(19699,plain,
% 7.62/5.73 (((~![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))))))),
% 7.62/5.73 inference(monotonicity,[status(thm)],[19698])).
% 7.62/5.73 tff(19700,plain,
% 7.62/5.73 (((~![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)))))),
% 7.62/5.73 inference(transitivity,[status(thm)],[19699, 19697])).
% 7.62/5.73 tff(19701,plain,
% 7.62/5.73 ((~![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)))))),
% 7.62/5.73 inference(quant_inst,[status(thm)],[])).
% 7.62/5.73 tff(19702,plain,
% 7.62/5.73 ((~![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))))),
% 7.62/5.73 inference(modus_ponens,[status(thm)],[19701, 19700])).
% 7.62/5.73 tff(19703,plain,
% 7.62/5.73 ((~v100(constB162)) | (~(((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19702, 4151])).
% 7.62/5.74 tff(19704,plain,
% 7.62/5.74 (~(((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19703, 19696])).
% 7.62/5.74 tff(19705,plain,
% 7.62/5.74 ((((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))) | (~((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19706,plain,
% 7.62/5.74 (~((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19705, 19704])).
% 7.62/5.74 tff(19707,plain,
% 7.62/5.74 (((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | (~v90(constB162, bitIndex2)) | v129(constB162, bitIndex2)),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19708,plain,
% 7.62/5.74 (~v90(constB162, bitIndex2)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19707, 19706, 19606])).
% 7.62/5.74 tff(19709,plain,
% 7.62/5.74 (((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | (~v90(constB163, bitIndex2)) | v90(constB162, bitIndex2)),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19710,plain,
% 7.62/5.74 (~v90(constB163, bitIndex2)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19709, 19708, 13186])).
% 7.62/5.74 tff(19711,plain,
% 7.62/5.74 ((((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))) | (~((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19712,plain,
% 7.62/5.74 (~((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19711, 13184])).
% 7.62/5.74 tff(19713,plain,
% 7.62/5.74 ((((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0))) | (~((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19714,plain,
% 7.62/5.74 (~((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19713, 13193])).
% 7.62/5.74 tff(19715,plain,
% 7.62/5.74 ((((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1))) | (~((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19716,plain,
% 7.62/5.74 (~((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19715, 13207])).
% 7.62/5.74 tff(19717,plain,
% 7.62/5.74 ((v130(constB161, bitIndex2) | (~v130(constB161, bitIndex0)) | (~v130(constB161, bitIndex1))) | v130(constB161, bitIndex0)),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19718,plain,
% 7.62/5.74 (v130(constB161, bitIndex0)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19717, 19600])).
% 7.62/5.74 tff(19719,plain,
% 7.62/5.74 (((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)) | v127(constB161, bitIndex0) | (~v130(constB161, bitIndex0))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19720,plain,
% 7.62/5.74 (v127(constB161, bitIndex0)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19719, 19718, 19716])).
% 7.62/5.74 tff(19721,plain,
% 7.62/5.74 (((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0)) | v129(constB162, bitIndex0) | (~v127(constB161, bitIndex0))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19722,plain,
% 7.62/5.74 (v129(constB162, bitIndex0)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19721, 19720, 19714])).
% 7.62/5.74 tff(19723,plain,
% 7.62/5.74 ((((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))) | (~((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19724,plain,
% 7.62/5.74 (~((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19723, 19704])).
% 7.62/5.74 tff(19725,plain,
% 7.62/5.74 (((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | v90(constB162, bitIndex0) | (~v129(constB162, bitIndex0))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19726,plain,
% 7.62/5.74 (v90(constB162, bitIndex0)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19725, 19724, 19722])).
% 7.62/5.74 tff(19727,plain,
% 7.62/5.74 (((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0)) | v90(constB163, bitIndex0) | (~v90(constB162, bitIndex0))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19728,plain,
% 7.62/5.74 (v90(constB163, bitIndex0)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19727, 19726, 19712])).
% 7.62/5.74 tff(19729,plain,
% 7.62/5.74 ((((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | ((~v90(constB163, bitIndex2)) <=> v90(constB162, bitIndex2)) | ((~v90(constB163, bitIndex0)) <=> v90(constB162, bitIndex0))) | (~((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19730,plain,
% 7.62/5.74 (~((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19729, 13184])).
% 7.62/5.74 tff(19731,plain,
% 7.62/5.74 ((((~v129(constB162, bitIndex2)) <=> v127(constB161, bitIndex2)) | ((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | ((~v129(constB162, bitIndex0)) <=> v127(constB161, bitIndex0))) | (~((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19732,plain,
% 7.62/5.74 (~((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19731, 13193])).
% 7.62/5.74 tff(19733,plain,
% 7.62/5.74 ((((~v127(constB161, bitIndex2)) <=> v130(constB161, bitIndex2)) | ((~v127(constB161, bitIndex0)) <=> v130(constB161, bitIndex0)) | ((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1))) | (~((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19734,plain,
% 7.62/5.74 (~((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19733, 13207])).
% 7.62/5.74 tff(19735,plain,
% 7.62/5.74 ((v130(constB161, bitIndex2) | (~v130(constB161, bitIndex0)) | (~v130(constB161, bitIndex1))) | v130(constB161, bitIndex1)),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19736,plain,
% 7.62/5.74 (v130(constB161, bitIndex1)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19735, 19600])).
% 7.62/5.74 tff(19737,plain,
% 7.62/5.74 (((~v127(constB161, bitIndex1)) <=> v130(constB161, bitIndex1)) | v127(constB161, bitIndex1) | (~v130(constB161, bitIndex1))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19738,plain,
% 7.62/5.74 (v127(constB161, bitIndex1)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19737, 19736, 19734])).
% 7.62/5.74 tff(19739,plain,
% 7.62/5.74 (((~v129(constB162, bitIndex1)) <=> v127(constB161, bitIndex1)) | v129(constB162, bitIndex1) | (~v127(constB161, bitIndex1))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19740,plain,
% 7.62/5.74 (v129(constB162, bitIndex1)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19739, 19738, 19732])).
% 7.62/5.74 tff(19741,plain,
% 7.62/5.74 ((((~v90(constB162, bitIndex0)) <=> v129(constB162, bitIndex0)) | ((~v90(constB162, bitIndex2)) <=> v129(constB162, bitIndex2)) | ((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))) | (~((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19742,plain,
% 7.62/5.74 (~((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19741, 19704])).
% 7.62/5.74 tff(19743,plain,
% 7.62/5.74 (((~v90(constB162, bitIndex1)) <=> v129(constB162, bitIndex1)) | v90(constB162, bitIndex1) | (~v129(constB162, bitIndex1))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19744,plain,
% 7.62/5.74 (v90(constB162, bitIndex1)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19743, 19742, 19740])).
% 7.62/5.74 tff(19745,plain,
% 7.62/5.74 (((~v90(constB163, bitIndex1)) <=> v90(constB162, bitIndex1)) | v90(constB163, bitIndex1) | (~v90(constB162, bitIndex1))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19746,plain,
% 7.62/5.74 (v90(constB163, bitIndex1)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19745, 19744, 19730])).
% 7.62/5.74 tff(19747,plain,
% 7.62/5.74 ((~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))) | v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19748,plain,
% 7.62/5.74 (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19747, 19746, 19728, 19710])).
% 7.62/5.74 tff(19749,plain,
% 7.62/5.74 ((~(v122(constB163) <=> (~(v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))))) | v122(constB163) | (v90(constB163, bitIndex2) | (~v90(constB163, bitIndex1)) | (~v90(constB163, bitIndex0)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19750,plain,
% 7.62/5.74 (v122(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19749, 19748, 13150])).
% 7.62/5.74 tff(19751,plain,
% 7.62/5.74 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB163)) | (~(v130(constB163, bitIndex0) | v130(constB163, bitIndex1) | (~v130(constB163, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB163)) | (~(v130(constB163, bitIndex0) | v130(constB163, bitIndex1) | (~v130(constB163, bitIndex2)))))),
% 7.62/5.74 inference(rewrite,[status(thm)],[])).
% 7.62/5.74 tff(19752,plain,
% 7.62/5.74 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB163)) | (~(v130(constB163, bitIndex0) | v130(constB163, bitIndex1) | (~v130(constB163, bitIndex2)))))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19753,plain,
% 7.62/5.74 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB163)) | (~(v130(constB163, bitIndex0) | v130(constB163, bitIndex1) | (~v130(constB163, bitIndex2))))),
% 7.62/5.74 inference(modus_ponens,[status(thm)],[19752, 19751])).
% 7.62/5.74 tff(19754,plain,
% 7.62/5.74 ((~v122(constB163)) | (~(v130(constB163, bitIndex0) | v130(constB163, bitIndex1) | (~v130(constB163, bitIndex2))))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19753, 4563])).
% 7.62/5.74 tff(19755,plain,
% 7.62/5.74 (~(v130(constB163, bitIndex0) | v130(constB163, bitIndex1) | (~v130(constB163, bitIndex2)))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19754, 19750])).
% 7.62/5.74 tff(19756,plain,
% 7.62/5.74 ((v130(constB163, bitIndex0) | v130(constB163, bitIndex1) | (~v130(constB163, bitIndex2))) | v130(constB163, bitIndex2)),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19757,plain,
% 7.62/5.74 (v130(constB163, bitIndex2)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19756, 19755])).
% 7.62/5.74 tff(19758,plain,
% 7.62/5.74 (((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | v127(constB163, bitIndex2) | (~v130(constB163, bitIndex2))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19759,plain,
% 7.62/5.74 (v127(constB163, bitIndex2)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19758, 19757, 13143])).
% 7.62/5.74 tff(19760,plain,
% 7.62/5.74 (((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | v129(constB164, bitIndex2) | (~v127(constB163, bitIndex2))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19761,plain,
% 7.62/5.74 (v129(constB164, bitIndex2)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19760, 19759, 13129])).
% 7.62/5.74 tff(19762,plain,
% 7.62/5.74 (((~![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))))))),
% 7.62/5.74 inference(rewrite,[status(thm)],[])).
% 7.62/5.74 tff(19763,plain,
% 7.62/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19764,plain,
% 7.62/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB163, constB164)) | (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))),
% 7.62/5.74 inference(modus_ponens,[status(thm)],[19763, 19762])).
% 7.62/5.74 tff(19765,plain,
% 7.62/5.74 (v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164))))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19764, 13123, 433])).
% 7.62/5.74 tff(19766,plain,
% 7.62/5.74 (((~![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))))))),
% 7.62/5.74 inference(rewrite,[status(thm)],[])).
% 7.62/5.74 tff(19767,plain,
% 7.62/5.74 (((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164)))))) <=> ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))))),
% 7.62/5.74 inference(rewrite,[status(thm)],[])).
% 7.62/5.74 tff(19768,plain,
% 7.62/5.74 (((~![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)))))))),
% 7.62/5.74 inference(monotonicity,[status(thm)],[19767])).
% 7.62/5.74 tff(19769,plain,
% 7.62/5.74 (((~![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))))))),
% 7.62/5.74 inference(transitivity,[status(thm)],[19768, 19766])).
% 7.62/5.74 tff(19770,plain,
% 7.62/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v102(constB164)) | (~v1(constB164))))))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19771,plain,
% 7.62/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))),
% 7.62/5.74 inference(modus_ponens,[status(thm)],[19770, 19769])).
% 7.62/5.74 tff(19772,plain,
% 7.62/5.74 (v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164))))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19771, 13123, 453])).
% 7.62/5.74 tff(19773,plain,
% 7.62/5.74 (((~![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)))),
% 7.62/5.74 inference(rewrite,[status(thm)],[])).
% 7.62/5.74 tff(19774,plain,
% 7.62/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164)))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19775,plain,
% 7.62/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB163, constB164)) | ((~v102(constB164)) <=> v104(constB164))),
% 7.62/5.74 inference(modus_ponens,[status(thm)],[19774, 19773])).
% 7.62/5.74 tff(19776,plain,
% 7.62/5.74 ((~v102(constB164)) <=> v104(constB164)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19775, 13123, 3966])).
% 7.62/5.74 tff(19777,plain,
% 7.62/5.74 (((~![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)))),
% 7.62/5.74 inference(rewrite,[status(thm)],[])).
% 7.62/5.74 tff(19778,plain,
% 7.62/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163)))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19779,plain,
% 7.62/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v1(constB163))),
% 7.62/5.74 inference(modus_ponens,[status(thm)],[19778, 19777])).
% 7.62/5.74 tff(19780,plain,
% 7.62/5.74 (v104(constB164) <=> v1(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19779, 13123, 3980])).
% 7.62/5.74 tff(19781,plain,
% 7.62/5.74 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164)) | v1(constB163)),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19782,plain,
% 7.62/5.74 ((~(v104(constB164) <=> v1(constB163))) | (~v104(constB164))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19781, 13167])).
% 7.62/5.74 tff(19783,plain,
% 7.62/5.74 (~v104(constB164)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19782, 19780])).
% 7.62/5.74 tff(19784,plain,
% 7.62/5.74 ((~((~v102(constB164)) <=> v104(constB164))) | v102(constB164) | v104(constB164)),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19785,plain,
% 7.62/5.74 (v102(constB164)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19784, 19783, 19776])).
% 7.62/5.74 tff(19786,plain,
% 7.62/5.74 (v1(constB164) <=> v1(constB164)),
% 7.62/5.74 inference(rewrite,[status(thm)],[])).
% 7.62/5.74 tff(19787,axiom,(v1(constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_164')).
% 7.62/5.74 tff(19788,plain,
% 7.62/5.74 (v1(constB164)),
% 7.62/5.74 inference(modus_ponens,[status(thm)],[19787, 19786])).
% 7.62/5.74 tff(19789,plain,
% 7.62/5.74 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v1(constB164)) | (~v102(constB164))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19790,plain,
% 7.62/5.74 ((~((~v1(constB164)) | (~v102(constB164)))) | (~v102(constB164))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19789, 19788])).
% 7.62/5.74 tff(19791,plain,
% 7.62/5.74 (~((~v1(constB164)) | (~v102(constB164)))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19790, 19785])).
% 7.62/5.74 tff(19792,plain,
% 7.62/5.74 ((~(v101(constB164) <=> (~((~v1(constB164)) | (~v102(constB164)))))) | v101(constB164) | ((~v1(constB164)) | (~v102(constB164)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19793,plain,
% 7.62/5.74 (v101(constB164)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19792, 19791, 19772])).
% 7.62/5.74 tff(19794,plain,
% 7.62/5.74 (((~![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)))),
% 7.62/5.74 inference(rewrite,[status(thm)],[])).
% 7.62/5.74 tff(19795,plain,
% 7.62/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163)))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19796,plain,
% 7.62/5.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB163, constB164)) | (v110(constB164) <=> v108(constB163))),
% 7.62/5.74 inference(modus_ponens,[status(thm)],[19795, 19794])).
% 7.62/5.74 tff(19797,plain,
% 7.62/5.74 (v110(constB164) <=> v108(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19796, 13123, 4007])).
% 7.62/5.74 tff(19798,plain,
% 7.62/5.74 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB163) <=> (v111(constB163) | v112(constB163)))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19799,plain,
% 7.62/5.74 (v108(constB163) <=> (v111(constB163) | v112(constB163))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19798, 4018])).
% 7.62/5.74 tff(19800,plain,
% 7.62/5.74 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19801,plain,
% 7.62/5.74 (v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163))))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19800, 4030])).
% 7.62/5.74 tff(19802,plain,
% 7.62/5.74 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB163) <=> (v114(constB163) | v125(constB163)))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19803,plain,
% 7.62/5.74 (v113(constB163) <=> (v114(constB163) | v125(constB163))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19802, 4039])).
% 7.62/5.74 tff(19804,plain,
% 7.62/5.74 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB163) <=> (v115(constB163) | v124(constB163)))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19805,plain,
% 7.62/5.74 (v114(constB163) <=> (v115(constB163) | v124(constB163))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19804, 4048])).
% 7.62/5.74 tff(19806,plain,
% 7.62/5.74 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB163) <=> (v116(constB163) | v123(constB163)))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19807,plain,
% 7.62/5.74 (v115(constB163) <=> (v116(constB163) | v123(constB163))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19806, 4057])).
% 7.62/5.74 tff(19808,plain,
% 7.62/5.74 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB163) <=> (v117(constB163) | v122(constB163)))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19809,plain,
% 7.62/5.74 (v116(constB163) <=> (v117(constB163) | v122(constB163))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19808, 4066])).
% 7.62/5.74 tff(19810,plain,
% 7.62/5.74 ((v117(constB163) | v122(constB163)) | (~v122(constB163))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19811,plain,
% 7.62/5.74 (v117(constB163) | v122(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19810, 19750])).
% 7.62/5.74 tff(19812,plain,
% 7.62/5.74 ((~(v116(constB163) <=> (v117(constB163) | v122(constB163)))) | v116(constB163) | (~(v117(constB163) | v122(constB163)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19813,plain,
% 7.62/5.74 (v116(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19812, 19811, 19809])).
% 7.62/5.74 tff(19814,plain,
% 7.62/5.74 ((v116(constB163) | v123(constB163)) | (~v116(constB163))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19815,plain,
% 7.62/5.74 (v116(constB163) | v123(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19814, 19813])).
% 7.62/5.74 tff(19816,plain,
% 7.62/5.74 ((~(v115(constB163) <=> (v116(constB163) | v123(constB163)))) | v115(constB163) | (~(v116(constB163) | v123(constB163)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19817,plain,
% 7.62/5.74 (v115(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19816, 19815, 19807])).
% 7.62/5.74 tff(19818,plain,
% 7.62/5.74 ((v115(constB163) | v124(constB163)) | (~v115(constB163))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19819,plain,
% 7.62/5.74 (v115(constB163) | v124(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19818, 19817])).
% 7.62/5.74 tff(19820,plain,
% 7.62/5.74 ((~(v114(constB163) <=> (v115(constB163) | v124(constB163)))) | v114(constB163) | (~(v115(constB163) | v124(constB163)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19821,plain,
% 7.62/5.74 (v114(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19820, 19819, 19805])).
% 7.62/5.74 tff(19822,plain,
% 7.62/5.74 ((v114(constB163) | v125(constB163)) | (~v114(constB163))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19823,plain,
% 7.62/5.74 (v114(constB163) | v125(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19822, 19821])).
% 7.62/5.74 tff(19824,plain,
% 7.62/5.74 ((~(v113(constB163) <=> (v114(constB163) | v125(constB163)))) | v113(constB163) | (~(v114(constB163) | v125(constB163)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19825,plain,
% 7.62/5.74 (v113(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19824, 19823, 19803])).
% 7.62/5.74 tff(19826,plain,
% 7.62/5.74 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB163)) <=> v111(constB163))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19827,plain,
% 7.62/5.74 ((~v126(constB163)) <=> v111(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19826, 4118])).
% 7.62/5.74 tff(19828,plain,
% 7.62/5.74 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163) | v111(constB163)),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19829,plain,
% 7.62/5.74 ((~((~v126(constB163)) <=> v111(constB163))) | v126(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19828, 13136])).
% 7.62/5.74 tff(19830,plain,
% 7.62/5.74 (v126(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19829, 19827])).
% 7.62/5.74 tff(19831,plain,
% 7.62/5.74 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163)) | (~v126(constB163))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19832,plain,
% 7.62/5.74 ((~((~v113(constB163)) | (~v126(constB163)))) | (~v113(constB163))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19831, 19830])).
% 7.62/5.74 tff(19833,plain,
% 7.62/5.74 (~((~v113(constB163)) | (~v126(constB163)))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19832, 19825])).
% 7.62/5.74 tff(19834,plain,
% 7.62/5.74 ((~(v112(constB163) <=> (~((~v113(constB163)) | (~v126(constB163)))))) | v112(constB163) | ((~v113(constB163)) | (~v126(constB163)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19835,plain,
% 7.62/5.74 (v112(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19834, 19833, 19801])).
% 7.62/5.74 tff(19836,plain,
% 7.62/5.74 ((v111(constB163) | v112(constB163)) | (~v112(constB163))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19837,plain,
% 7.62/5.74 (v111(constB163) | v112(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19836, 19835])).
% 7.62/5.74 tff(19838,plain,
% 7.62/5.74 ((~(v108(constB163) <=> (v111(constB163) | v112(constB163)))) | v108(constB163) | (~(v111(constB163) | v112(constB163)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19839,plain,
% 7.62/5.74 (v108(constB163)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19838, 19837, 19799])).
% 7.62/5.74 tff(19840,plain,
% 7.62/5.74 ((~(v110(constB164) <=> v108(constB163))) | v110(constB164) | (~v108(constB163))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19841,plain,
% 7.62/5.74 (v110(constB164)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19840, 19839, 19797])).
% 7.62/5.74 tff(19842,plain,
% 7.62/5.74 ((~((~v101(constB164)) | (~v110(constB164)))) | (~v101(constB164)) | (~v110(constB164))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19843,plain,
% 7.62/5.74 (~((~v101(constB164)) | (~v110(constB164)))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19842, 19841, 19793])).
% 7.62/5.74 tff(19844,plain,
% 7.62/5.74 ((~(v100(constB164) <=> (~((~v101(constB164)) | (~v110(constB164)))))) | v100(constB164) | ((~v101(constB164)) | (~v110(constB164)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19845,plain,
% 7.62/5.74 (v100(constB164)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19844, 19843, 19765])).
% 7.62/5.74 tff(19846,plain,
% 7.62/5.74 (((~![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)))))),
% 7.62/5.74 inference(rewrite,[status(thm)],[])).
% 7.62/5.74 tff(19847,plain,
% 7.62/5.74 ((~![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)))))),
% 7.62/5.74 inference(quant_inst,[status(thm)],[])).
% 7.62/5.74 tff(19848,plain,
% 7.62/5.74 ((~![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))))),
% 7.62/5.74 inference(modus_ponens,[status(thm)],[19847, 19846])).
% 7.62/5.74 tff(19849,plain,
% 7.62/5.74 ((~v100(constB164)) | (~(((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0))))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19848, 4151])).
% 7.62/5.74 tff(19850,plain,
% 7.62/5.74 (~(((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0)))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19849, 19845])).
% 7.62/5.74 tff(19851,plain,
% 7.62/5.74 ((((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0))) | (~((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19852,plain,
% 7.62/5.74 (~((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19851, 19850])).
% 7.62/5.74 tff(19853,plain,
% 7.62/5.74 (((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19854,plain,
% 7.62/5.74 (v90(constB164, bitIndex2)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19853, 19852, 19761])).
% 7.62/5.74 tff(19855,plain,
% 7.62/5.74 (((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | v90(constB165, bitIndex2) | (~v90(constB164, bitIndex2))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19856,plain,
% 7.62/5.74 (v90(constB165, bitIndex2)),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19855, 19854, 13120])).
% 7.62/5.74 tff(19857,plain,
% 7.62/5.74 ((((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))) | (~((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19858,plain,
% 7.62/5.74 (~((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19857, 13118])).
% 7.62/5.74 tff(19859,plain,
% 7.62/5.74 ((((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0))) | (~((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0)))),
% 7.62/5.74 inference(tautology,[status(thm)],[])).
% 7.62/5.74 tff(19860,plain,
% 7.62/5.74 (~((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0))),
% 7.62/5.74 inference(unit_resolution,[status(thm)],[19859, 13127])).
% 7.62/5.74 tff(19861,plain,
% 7.62/5.74 ((((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1))) | (~((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19862,plain,
% 7.62/5.75 (~((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19861, 13141])).
% 7.62/5.75 tff(19863,plain,
% 7.62/5.75 ((v130(constB163, bitIndex0) | v130(constB163, bitIndex1) | (~v130(constB163, bitIndex2))) | (~v130(constB163, bitIndex0))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19864,plain,
% 7.62/5.75 (~v130(constB163, bitIndex0)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19863, 19755])).
% 7.62/5.75 tff(19865,plain,
% 7.62/5.75 (((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)) | (~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19866,plain,
% 7.62/5.75 (~v127(constB163, bitIndex0)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19865, 19864, 19862])).
% 7.62/5.75 tff(19867,plain,
% 7.62/5.75 (((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0)) | (~v129(constB164, bitIndex0)) | v127(constB163, bitIndex0)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19868,plain,
% 7.62/5.75 (~v129(constB164, bitIndex0)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19867, 19866, 19860])).
% 7.62/5.75 tff(19869,plain,
% 7.62/5.75 ((((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0))) | (~((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19870,plain,
% 7.62/5.75 (~((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19869, 19850])).
% 7.62/5.75 tff(19871,plain,
% 7.62/5.75 (((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0)) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19872,plain,
% 7.62/5.75 (~v90(constB164, bitIndex0)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19871, 19870, 19868])).
% 7.62/5.75 tff(19873,plain,
% 7.62/5.75 (((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0)) | (~v90(constB165, bitIndex0)) | v90(constB164, bitIndex0)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19874,plain,
% 7.62/5.75 (~v90(constB165, bitIndex0)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19873, 19872, 19858])).
% 7.62/5.75 tff(19875,plain,
% 7.62/5.75 ((((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | ((~v90(constB165, bitIndex2)) <=> v90(constB164, bitIndex2)) | ((~v90(constB165, bitIndex0)) <=> v90(constB164, bitIndex0))) | (~((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19876,plain,
% 7.62/5.75 (~((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19875, 13118])).
% 7.62/5.75 tff(19877,plain,
% 7.62/5.75 ((((~v129(constB164, bitIndex2)) <=> v127(constB163, bitIndex2)) | ((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | ((~v129(constB164, bitIndex0)) <=> v127(constB163, bitIndex0))) | (~((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19878,plain,
% 7.62/5.75 (~((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19877, 13127])).
% 7.62/5.75 tff(19879,plain,
% 7.62/5.75 ((((~v127(constB163, bitIndex2)) <=> v130(constB163, bitIndex2)) | ((~v127(constB163, bitIndex0)) <=> v130(constB163, bitIndex0)) | ((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1))) | (~((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19880,plain,
% 7.62/5.75 (~((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19879, 13141])).
% 7.62/5.75 tff(19881,plain,
% 7.62/5.75 ((v130(constB163, bitIndex0) | v130(constB163, bitIndex1) | (~v130(constB163, bitIndex2))) | (~v130(constB163, bitIndex1))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19882,plain,
% 7.62/5.75 (~v130(constB163, bitIndex1)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19881, 19755])).
% 7.62/5.75 tff(19883,plain,
% 7.62/5.75 (((~v127(constB163, bitIndex1)) <=> v130(constB163, bitIndex1)) | (~v127(constB163, bitIndex1)) | v130(constB163, bitIndex1)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19884,plain,
% 7.62/5.75 (~v127(constB163, bitIndex1)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19883, 19882, 19880])).
% 7.62/5.75 tff(19885,plain,
% 7.62/5.75 (((~v129(constB164, bitIndex1)) <=> v127(constB163, bitIndex1)) | (~v129(constB164, bitIndex1)) | v127(constB163, bitIndex1)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19886,plain,
% 7.62/5.75 (~v129(constB164, bitIndex1)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19885, 19884, 19878])).
% 7.62/5.75 tff(19887,plain,
% 7.62/5.75 ((((~v90(constB164, bitIndex2)) <=> v129(constB164, bitIndex2)) | ((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | ((~v90(constB164, bitIndex0)) <=> v129(constB164, bitIndex0))) | (~((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19888,plain,
% 7.62/5.75 (~((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19887, 19850])).
% 7.62/5.75 tff(19889,plain,
% 7.62/5.75 (((~v90(constB164, bitIndex1)) <=> v129(constB164, bitIndex1)) | (~v90(constB164, bitIndex1)) | v129(constB164, bitIndex1)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19890,plain,
% 7.62/5.75 (~v90(constB164, bitIndex1)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19889, 19888, 19886])).
% 7.62/5.75 tff(19891,plain,
% 7.62/5.75 (((~v90(constB165, bitIndex1)) <=> v90(constB164, bitIndex1)) | (~v90(constB165, bitIndex1)) | v90(constB164, bitIndex1)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19892,plain,
% 7.62/5.75 (~v90(constB165, bitIndex1)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19891, 19890, 19876])).
% 7.62/5.75 tff(19893,plain,
% 7.62/5.75 ((~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2)))) | v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19894,plain,
% 7.62/5.75 (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2)))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19893, 19892, 19874, 19856])).
% 7.62/5.75 tff(19895,plain,
% 7.62/5.75 ((~(v123(constB165) <=> (~(v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2)))))) | v123(constB165) | (v90(constB165, bitIndex1) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex2)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19896,plain,
% 7.62/5.75 (v123(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19895, 19894, 13084])).
% 7.62/5.75 tff(19897,plain,
% 7.62/5.75 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB165)) | (~(v130(constB165, bitIndex1) | (~v130(constB165, bitIndex2)) | (~v130(constB165, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB165)) | (~(v130(constB165, bitIndex1) | (~v130(constB165, bitIndex2)) | (~v130(constB165, bitIndex0)))))),
% 7.62/5.75 inference(rewrite,[status(thm)],[])).
% 7.62/5.75 tff(19898,plain,
% 7.62/5.75 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB165)) | (~(v130(constB165, bitIndex1) | (~v130(constB165, bitIndex2)) | (~v130(constB165, bitIndex0)))))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19899,plain,
% 7.62/5.75 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB165)) | (~(v130(constB165, bitIndex1) | (~v130(constB165, bitIndex2)) | (~v130(constB165, bitIndex0))))),
% 7.62/5.75 inference(modus_ponens,[status(thm)],[19898, 19897])).
% 7.62/5.75 tff(19900,plain,
% 7.62/5.75 ((~v123(constB165)) | (~(v130(constB165, bitIndex1) | (~v130(constB165, bitIndex2)) | (~v130(constB165, bitIndex0))))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19899, 4722])).
% 7.62/5.75 tff(19901,plain,
% 7.62/5.75 (~(v130(constB165, bitIndex1) | (~v130(constB165, bitIndex2)) | (~v130(constB165, bitIndex0)))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19900, 19896])).
% 7.62/5.75 tff(19902,plain,
% 7.62/5.75 ((v130(constB165, bitIndex1) | (~v130(constB165, bitIndex2)) | (~v130(constB165, bitIndex0))) | v130(constB165, bitIndex2)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19903,plain,
% 7.62/5.75 (v130(constB165, bitIndex2)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19902, 19901])).
% 7.62/5.75 tff(19904,plain,
% 7.62/5.75 (((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | v127(constB165, bitIndex2) | (~v130(constB165, bitIndex2))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19905,plain,
% 7.62/5.75 (v127(constB165, bitIndex2)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19904, 19903, 13077])).
% 7.62/5.75 tff(19906,plain,
% 7.62/5.75 (((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | v129(constB166, bitIndex2) | (~v127(constB165, bitIndex2))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19907,plain,
% 7.62/5.75 (v129(constB166, bitIndex2)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19906, 19905, 13063])).
% 7.62/5.75 tff(19908,plain,
% 7.62/5.75 (((~![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))))))),
% 7.62/5.75 inference(rewrite,[status(thm)],[])).
% 7.62/5.75 tff(19909,plain,
% 7.62/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19910,plain,
% 7.62/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB165, constB166)) | (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))),
% 7.62/5.75 inference(modus_ponens,[status(thm)],[19909, 19908])).
% 7.62/5.75 tff(19911,plain,
% 7.62/5.75 (v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166))))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19910, 13057, 433])).
% 7.62/5.75 tff(19912,plain,
% 7.62/5.75 (((~![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))))))),
% 7.62/5.75 inference(rewrite,[status(thm)],[])).
% 7.62/5.75 tff(19913,plain,
% 7.62/5.75 (((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166)))))) <=> ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))))),
% 7.62/5.75 inference(rewrite,[status(thm)],[])).
% 7.62/5.75 tff(19914,plain,
% 7.62/5.75 (((~![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)))))))),
% 7.62/5.75 inference(monotonicity,[status(thm)],[19913])).
% 7.62/5.75 tff(19915,plain,
% 7.62/5.75 (((~![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))))))),
% 7.62/5.75 inference(transitivity,[status(thm)],[19914, 19912])).
% 7.62/5.75 tff(19916,plain,
% 7.62/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v102(constB166)) | (~v1(constB166))))))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19917,plain,
% 7.62/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))),
% 7.62/5.75 inference(modus_ponens,[status(thm)],[19916, 19915])).
% 7.62/5.75 tff(19918,plain,
% 7.62/5.75 (v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166))))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19917, 13057, 453])).
% 7.62/5.75 tff(19919,plain,
% 7.62/5.75 (((~![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)))),
% 7.62/5.75 inference(rewrite,[status(thm)],[])).
% 7.62/5.75 tff(19920,plain,
% 7.62/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166)))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19921,plain,
% 7.62/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB165, constB166)) | ((~v102(constB166)) <=> v104(constB166))),
% 7.62/5.75 inference(modus_ponens,[status(thm)],[19920, 19919])).
% 7.62/5.75 tff(19922,plain,
% 7.62/5.75 ((~v102(constB166)) <=> v104(constB166)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19921, 13057, 3966])).
% 7.62/5.75 tff(19923,plain,
% 7.62/5.75 (((~![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)))),
% 7.62/5.75 inference(rewrite,[status(thm)],[])).
% 7.62/5.75 tff(19924,plain,
% 7.62/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165)))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19925,plain,
% 7.62/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v1(constB165))),
% 7.62/5.75 inference(modus_ponens,[status(thm)],[19924, 19923])).
% 7.62/5.75 tff(19926,plain,
% 7.62/5.75 (v104(constB166) <=> v1(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19925, 13057, 3980])).
% 7.62/5.75 tff(19927,plain,
% 7.62/5.75 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166)) | v1(constB165)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19928,plain,
% 7.62/5.75 ((~(v104(constB166) <=> v1(constB165))) | (~v104(constB166))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19927, 13101])).
% 7.62/5.75 tff(19929,plain,
% 7.62/5.75 (~v104(constB166)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19928, 19926])).
% 7.62/5.75 tff(19930,plain,
% 7.62/5.75 ((~((~v102(constB166)) <=> v104(constB166))) | v102(constB166) | v104(constB166)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19931,plain,
% 7.62/5.75 (v102(constB166)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19930, 19929, 19922])).
% 7.62/5.75 tff(19932,plain,
% 7.62/5.75 (v1(constB166) <=> v1(constB166)),
% 7.62/5.75 inference(rewrite,[status(thm)],[])).
% 7.62/5.75 tff(19933,axiom,(v1(constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_166')).
% 7.62/5.75 tff(19934,plain,
% 7.62/5.75 (v1(constB166)),
% 7.62/5.75 inference(modus_ponens,[status(thm)],[19933, 19932])).
% 7.62/5.75 tff(19935,plain,
% 7.62/5.75 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v1(constB166)) | (~v102(constB166))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19936,plain,
% 7.62/5.75 ((~((~v1(constB166)) | (~v102(constB166)))) | (~v102(constB166))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19935, 19934])).
% 7.62/5.75 tff(19937,plain,
% 7.62/5.75 (~((~v1(constB166)) | (~v102(constB166)))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19936, 19931])).
% 7.62/5.75 tff(19938,plain,
% 7.62/5.75 ((~(v101(constB166) <=> (~((~v1(constB166)) | (~v102(constB166)))))) | v101(constB166) | ((~v1(constB166)) | (~v102(constB166)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19939,plain,
% 7.62/5.75 (v101(constB166)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19938, 19937, 19918])).
% 7.62/5.75 tff(19940,plain,
% 7.62/5.75 (((~![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)))),
% 7.62/5.75 inference(rewrite,[status(thm)],[])).
% 7.62/5.75 tff(19941,plain,
% 7.62/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165)))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19942,plain,
% 7.62/5.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB165, constB166)) | (v110(constB166) <=> v108(constB165))),
% 7.62/5.75 inference(modus_ponens,[status(thm)],[19941, 19940])).
% 7.62/5.75 tff(19943,plain,
% 7.62/5.75 (v110(constB166) <=> v108(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19942, 13057, 4007])).
% 7.62/5.75 tff(19944,plain,
% 7.62/5.75 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB165) <=> (v111(constB165) | v112(constB165)))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19945,plain,
% 7.62/5.75 (v108(constB165) <=> (v111(constB165) | v112(constB165))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19944, 4018])).
% 7.62/5.75 tff(19946,plain,
% 7.62/5.75 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19947,plain,
% 7.62/5.75 (v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165))))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19946, 4030])).
% 7.62/5.75 tff(19948,plain,
% 7.62/5.75 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB165) <=> (v114(constB165) | v125(constB165)))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19949,plain,
% 7.62/5.75 (v113(constB165) <=> (v114(constB165) | v125(constB165))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19948, 4039])).
% 7.62/5.75 tff(19950,plain,
% 7.62/5.75 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB165) <=> (v115(constB165) | v124(constB165)))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19951,plain,
% 7.62/5.75 (v114(constB165) <=> (v115(constB165) | v124(constB165))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19950, 4048])).
% 7.62/5.75 tff(19952,plain,
% 7.62/5.75 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB165) <=> (v116(constB165) | v123(constB165)))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19953,plain,
% 7.62/5.75 (v115(constB165) <=> (v116(constB165) | v123(constB165))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19952, 4057])).
% 7.62/5.75 tff(19954,plain,
% 7.62/5.75 ((v116(constB165) | v123(constB165)) | (~v123(constB165))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19955,plain,
% 7.62/5.75 (v116(constB165) | v123(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19954, 19896])).
% 7.62/5.75 tff(19956,plain,
% 7.62/5.75 ((~(v115(constB165) <=> (v116(constB165) | v123(constB165)))) | v115(constB165) | (~(v116(constB165) | v123(constB165)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19957,plain,
% 7.62/5.75 (v115(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19956, 19955, 19953])).
% 7.62/5.75 tff(19958,plain,
% 7.62/5.75 ((v115(constB165) | v124(constB165)) | (~v115(constB165))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19959,plain,
% 7.62/5.75 (v115(constB165) | v124(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19958, 19957])).
% 7.62/5.75 tff(19960,plain,
% 7.62/5.75 ((~(v114(constB165) <=> (v115(constB165) | v124(constB165)))) | v114(constB165) | (~(v115(constB165) | v124(constB165)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19961,plain,
% 7.62/5.75 (v114(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19960, 19959, 19951])).
% 7.62/5.75 tff(19962,plain,
% 7.62/5.75 ((v114(constB165) | v125(constB165)) | (~v114(constB165))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19963,plain,
% 7.62/5.75 (v114(constB165) | v125(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19962, 19961])).
% 7.62/5.75 tff(19964,plain,
% 7.62/5.75 ((~(v113(constB165) <=> (v114(constB165) | v125(constB165)))) | v113(constB165) | (~(v114(constB165) | v125(constB165)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19965,plain,
% 7.62/5.75 (v113(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19964, 19963, 19949])).
% 7.62/5.75 tff(19966,plain,
% 7.62/5.75 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB165)) <=> v111(constB165))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19967,plain,
% 7.62/5.75 ((~v126(constB165)) <=> v111(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19966, 4118])).
% 7.62/5.75 tff(19968,plain,
% 7.62/5.75 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165) | v111(constB165)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19969,plain,
% 7.62/5.75 ((~((~v126(constB165)) <=> v111(constB165))) | v126(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19968, 13070])).
% 7.62/5.75 tff(19970,plain,
% 7.62/5.75 (v126(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19969, 19967])).
% 7.62/5.75 tff(19971,plain,
% 7.62/5.75 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165)) | (~v126(constB165))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19972,plain,
% 7.62/5.75 ((~((~v113(constB165)) | (~v126(constB165)))) | (~v113(constB165))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19971, 19970])).
% 7.62/5.75 tff(19973,plain,
% 7.62/5.75 (~((~v113(constB165)) | (~v126(constB165)))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19972, 19965])).
% 7.62/5.75 tff(19974,plain,
% 7.62/5.75 ((~(v112(constB165) <=> (~((~v113(constB165)) | (~v126(constB165)))))) | v112(constB165) | ((~v113(constB165)) | (~v126(constB165)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19975,plain,
% 7.62/5.75 (v112(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19974, 19973, 19947])).
% 7.62/5.75 tff(19976,plain,
% 7.62/5.75 ((v111(constB165) | v112(constB165)) | (~v112(constB165))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19977,plain,
% 7.62/5.75 (v111(constB165) | v112(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19976, 19975])).
% 7.62/5.75 tff(19978,plain,
% 7.62/5.75 ((~(v108(constB165) <=> (v111(constB165) | v112(constB165)))) | v108(constB165) | (~(v111(constB165) | v112(constB165)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19979,plain,
% 7.62/5.75 (v108(constB165)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19978, 19977, 19945])).
% 7.62/5.75 tff(19980,plain,
% 7.62/5.75 ((~(v110(constB166) <=> v108(constB165))) | v110(constB166) | (~v108(constB165))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19981,plain,
% 7.62/5.75 (v110(constB166)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19980, 19979, 19943])).
% 7.62/5.75 tff(19982,plain,
% 7.62/5.75 ((~((~v101(constB166)) | (~v110(constB166)))) | (~v101(constB166)) | (~v110(constB166))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19983,plain,
% 7.62/5.75 (~((~v101(constB166)) | (~v110(constB166)))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19982, 19981, 19939])).
% 7.62/5.75 tff(19984,plain,
% 7.62/5.75 ((~(v100(constB166) <=> (~((~v101(constB166)) | (~v110(constB166)))))) | v100(constB166) | ((~v101(constB166)) | (~v110(constB166)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19985,plain,
% 7.62/5.75 (v100(constB166)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19984, 19983, 19911])).
% 7.62/5.75 tff(19986,plain,
% 7.62/5.75 (((~![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)))))),
% 7.62/5.75 inference(rewrite,[status(thm)],[])).
% 7.62/5.75 tff(19987,plain,
% 7.62/5.75 (((~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)))))),
% 7.62/5.75 inference(rewrite,[status(thm)],[])).
% 7.62/5.75 tff(19988,plain,
% 7.62/5.75 (((~![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))))))),
% 7.62/5.75 inference(monotonicity,[status(thm)],[19987])).
% 7.62/5.75 tff(19989,plain,
% 7.62/5.75 (((~![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)))))),
% 7.62/5.75 inference(transitivity,[status(thm)],[19988, 19986])).
% 7.62/5.75 tff(19990,plain,
% 7.62/5.75 ((~![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)))))),
% 7.62/5.75 inference(quant_inst,[status(thm)],[])).
% 7.62/5.75 tff(19991,plain,
% 7.62/5.75 ((~![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))))),
% 7.62/5.75 inference(modus_ponens,[status(thm)],[19990, 19989])).
% 7.62/5.75 tff(19992,plain,
% 7.62/5.75 ((~v100(constB166)) | (~(((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19991, 4151])).
% 7.62/5.75 tff(19993,plain,
% 7.62/5.75 (~(((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19992, 19985])).
% 7.62/5.75 tff(19994,plain,
% 7.62/5.75 ((((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))) | (~((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19995,plain,
% 7.62/5.75 (~((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19994, 19993])).
% 7.62/5.75 tff(19996,plain,
% 7.62/5.75 (((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | v90(constB166, bitIndex2) | (~v129(constB166, bitIndex2))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19997,plain,
% 7.62/5.75 (v90(constB166, bitIndex2)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19996, 19995, 19907])).
% 7.62/5.75 tff(19998,plain,
% 7.62/5.75 (((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | v90(constB167, bitIndex2) | (~v90(constB166, bitIndex2))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(19999,plain,
% 7.62/5.75 (v90(constB167, bitIndex2)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[19998, 19997, 13054])).
% 7.62/5.75 tff(20000,plain,
% 7.62/5.75 ((((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))) | (~((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(20001,plain,
% 7.62/5.75 (~((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[20000, 13052])).
% 7.62/5.75 tff(20002,plain,
% 7.62/5.75 ((((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0))) | (~((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(20003,plain,
% 7.62/5.75 (~((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[20002, 13061])).
% 7.62/5.75 tff(20004,plain,
% 7.62/5.75 ((((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1))) | (~((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(20005,plain,
% 7.62/5.75 (~((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0))),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[20004, 13075])).
% 7.62/5.75 tff(20006,plain,
% 7.62/5.75 ((v130(constB165, bitIndex1) | (~v130(constB165, bitIndex2)) | (~v130(constB165, bitIndex0))) | v130(constB165, bitIndex0)),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(20007,plain,
% 7.62/5.75 (v130(constB165, bitIndex0)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[20006, 19901])).
% 7.62/5.75 tff(20008,plain,
% 7.62/5.75 (((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)) | v127(constB165, bitIndex0) | (~v130(constB165, bitIndex0))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(20009,plain,
% 7.62/5.75 (v127(constB165, bitIndex0)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[20008, 20007, 20005])).
% 7.62/5.75 tff(20010,plain,
% 7.62/5.75 (((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0)) | v129(constB166, bitIndex0) | (~v127(constB165, bitIndex0))),
% 7.62/5.75 inference(tautology,[status(thm)],[])).
% 7.62/5.75 tff(20011,plain,
% 7.62/5.75 (v129(constB166, bitIndex0)),
% 7.62/5.75 inference(unit_resolution,[status(thm)],[20010, 20009, 20003])).
% 7.62/5.75 tff(20012,plain,
% 7.62/5.75 ((((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))) | (~((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20013,plain,
% 7.62/5.76 (~((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20012, 19993])).
% 7.62/5.76 tff(20014,plain,
% 7.62/5.76 (((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20015,plain,
% 7.62/5.76 (v90(constB166, bitIndex0)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20014, 20013, 20011])).
% 7.62/5.76 tff(20016,plain,
% 7.62/5.76 (((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0)) | v90(constB167, bitIndex0) | (~v90(constB166, bitIndex0))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20017,plain,
% 7.62/5.76 (v90(constB167, bitIndex0)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20016, 20015, 20001])).
% 7.62/5.76 tff(20018,plain,
% 7.62/5.76 ((((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | ((~v90(constB167, bitIndex2)) <=> v90(constB166, bitIndex2)) | ((~v90(constB167, bitIndex0)) <=> v90(constB166, bitIndex0))) | (~((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20019,plain,
% 7.62/5.76 (~((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20018, 13052])).
% 7.62/5.76 tff(20020,plain,
% 7.62/5.76 ((((~v129(constB166, bitIndex2)) <=> v127(constB165, bitIndex2)) | ((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | ((~v129(constB166, bitIndex0)) <=> v127(constB165, bitIndex0))) | (~((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20021,plain,
% 7.62/5.76 (~((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20020, 13061])).
% 7.62/5.76 tff(20022,plain,
% 7.62/5.76 ((((~v127(constB165, bitIndex2)) <=> v130(constB165, bitIndex2)) | ((~v127(constB165, bitIndex0)) <=> v130(constB165, bitIndex0)) | ((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1))) | (~((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20023,plain,
% 7.62/5.76 (~((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20022, 13075])).
% 7.62/5.76 tff(20024,plain,
% 7.62/5.76 ((v130(constB165, bitIndex1) | (~v130(constB165, bitIndex2)) | (~v130(constB165, bitIndex0))) | (~v130(constB165, bitIndex1))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20025,plain,
% 7.62/5.76 (~v130(constB165, bitIndex1)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20024, 19901])).
% 7.62/5.76 tff(20026,plain,
% 7.62/5.76 (((~v127(constB165, bitIndex1)) <=> v130(constB165, bitIndex1)) | (~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20027,plain,
% 7.62/5.76 (~v127(constB165, bitIndex1)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20026, 20025, 20023])).
% 7.62/5.76 tff(20028,plain,
% 7.62/5.76 (((~v129(constB166, bitIndex1)) <=> v127(constB165, bitIndex1)) | (~v129(constB166, bitIndex1)) | v127(constB165, bitIndex1)),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20029,plain,
% 7.62/5.76 (~v129(constB166, bitIndex1)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20028, 20027, 20021])).
% 7.62/5.76 tff(20030,plain,
% 7.62/5.76 ((((~v90(constB166, bitIndex0)) <=> v129(constB166, bitIndex0)) | ((~v90(constB166, bitIndex2)) <=> v129(constB166, bitIndex2)) | ((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))) | (~((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20031,plain,
% 7.62/5.76 (~((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20030, 19993])).
% 7.62/5.76 tff(20032,plain,
% 7.62/5.76 (((~v90(constB166, bitIndex1)) <=> v129(constB166, bitIndex1)) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1)),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20033,plain,
% 7.62/5.76 (~v90(constB166, bitIndex1)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20032, 20031, 20029])).
% 7.62/5.76 tff(20034,plain,
% 7.62/5.76 (((~v90(constB167, bitIndex1)) <=> v90(constB166, bitIndex1)) | (~v90(constB167, bitIndex1)) | v90(constB166, bitIndex1)),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20035,plain,
% 7.62/5.76 (~v90(constB167, bitIndex1)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20034, 20033, 20019])).
% 7.62/5.76 tff(20036,plain,
% 7.62/5.76 ((~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0)))) | v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20037,plain,
% 7.62/5.76 (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0)))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20036, 20035, 20017, 19999])).
% 7.62/5.76 tff(20038,plain,
% 7.62/5.76 ((~(v124(constB167) <=> (~(v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0)))))) | v124(constB167) | (v90(constB167, bitIndex1) | (~v90(constB167, bitIndex2)) | (~v90(constB167, bitIndex0)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20039,plain,
% 7.62/5.76 (v124(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20038, 20037, 13018])).
% 7.62/5.76 tff(20040,plain,
% 7.62/5.76 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB167)) | (~(v130(constB167, bitIndex0) | (~v130(constB167, bitIndex2)) | (~v130(constB167, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB167)) | (~(v130(constB167, bitIndex0) | (~v130(constB167, bitIndex2)) | (~v130(constB167, bitIndex1)))))),
% 7.62/5.76 inference(rewrite,[status(thm)],[])).
% 7.62/5.76 tff(20041,plain,
% 7.62/5.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB167)) | (~(v130(constB167, bitIndex0) | (~v130(constB167, bitIndex2)) | (~v130(constB167, bitIndex1)))))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20042,plain,
% 7.62/5.76 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB167)) | (~(v130(constB167, bitIndex0) | (~v130(constB167, bitIndex2)) | (~v130(constB167, bitIndex1))))),
% 7.62/5.76 inference(modus_ponens,[status(thm)],[20041, 20040])).
% 7.62/5.76 tff(20043,plain,
% 7.62/5.76 ((~v124(constB167)) | (~(v130(constB167, bitIndex0) | (~v130(constB167, bitIndex2)) | (~v130(constB167, bitIndex1))))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20042, 4878])).
% 7.62/5.76 tff(20044,plain,
% 7.62/5.76 (~(v130(constB167, bitIndex0) | (~v130(constB167, bitIndex2)) | (~v130(constB167, bitIndex1)))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20043, 20039])).
% 7.62/5.76 tff(20045,plain,
% 7.62/5.76 ((v130(constB167, bitIndex0) | (~v130(constB167, bitIndex2)) | (~v130(constB167, bitIndex1))) | v130(constB167, bitIndex2)),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20046,plain,
% 7.62/5.76 (v130(constB167, bitIndex2)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20045, 20044])).
% 7.62/5.76 tff(20047,plain,
% 7.62/5.76 (((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | v127(constB167, bitIndex2) | (~v130(constB167, bitIndex2))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20048,plain,
% 7.62/5.76 (v127(constB167, bitIndex2)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20047, 20046, 13011])).
% 7.62/5.76 tff(20049,plain,
% 7.62/5.76 (((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | v129(constB168, bitIndex2) | (~v127(constB167, bitIndex2))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20050,plain,
% 7.62/5.76 (v129(constB168, bitIndex2)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20049, 20048, 12997])).
% 7.62/5.76 tff(20051,plain,
% 7.62/5.76 (((~![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))))))),
% 7.62/5.76 inference(rewrite,[status(thm)],[])).
% 7.62/5.76 tff(20052,plain,
% 7.62/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20053,plain,
% 7.62/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB167, constB168)) | (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))),
% 7.62/5.76 inference(modus_ponens,[status(thm)],[20052, 20051])).
% 7.62/5.76 tff(20054,plain,
% 7.62/5.76 (v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168))))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20053, 12991, 433])).
% 7.62/5.76 tff(20055,plain,
% 7.62/5.76 (((~![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))))))),
% 7.62/5.76 inference(rewrite,[status(thm)],[])).
% 7.62/5.76 tff(20056,plain,
% 7.62/5.76 (((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168)))))) <=> ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))))),
% 7.62/5.76 inference(rewrite,[status(thm)],[])).
% 7.62/5.76 tff(20057,plain,
% 7.62/5.76 (((~![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)))))))),
% 7.62/5.76 inference(monotonicity,[status(thm)],[20056])).
% 7.62/5.76 tff(20058,plain,
% 7.62/5.76 (((~![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))))))),
% 7.62/5.76 inference(transitivity,[status(thm)],[20057, 20055])).
% 7.62/5.76 tff(20059,plain,
% 7.62/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v102(constB168)) | (~v1(constB168))))))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20060,plain,
% 7.62/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))),
% 7.62/5.76 inference(modus_ponens,[status(thm)],[20059, 20058])).
% 7.62/5.76 tff(20061,plain,
% 7.62/5.76 (v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168))))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20060, 12991, 453])).
% 7.62/5.76 tff(20062,plain,
% 7.62/5.76 (((~![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)))),
% 7.62/5.76 inference(rewrite,[status(thm)],[])).
% 7.62/5.76 tff(20063,plain,
% 7.62/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168)))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20064,plain,
% 7.62/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB167, constB168)) | ((~v102(constB168)) <=> v104(constB168))),
% 7.62/5.76 inference(modus_ponens,[status(thm)],[20063, 20062])).
% 7.62/5.76 tff(20065,plain,
% 7.62/5.76 ((~v102(constB168)) <=> v104(constB168)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20064, 12991, 3966])).
% 7.62/5.76 tff(20066,plain,
% 7.62/5.76 (((~![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)))),
% 7.62/5.76 inference(rewrite,[status(thm)],[])).
% 7.62/5.76 tff(20067,plain,
% 7.62/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167)))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20068,plain,
% 7.62/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v1(constB167))),
% 7.62/5.76 inference(modus_ponens,[status(thm)],[20067, 20066])).
% 7.62/5.76 tff(20069,plain,
% 7.62/5.76 (v104(constB168) <=> v1(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20068, 12991, 3980])).
% 7.62/5.76 tff(20070,plain,
% 7.62/5.76 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168)) | v1(constB167)),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20071,plain,
% 7.62/5.76 ((~(v104(constB168) <=> v1(constB167))) | (~v104(constB168))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20070, 13035])).
% 7.62/5.76 tff(20072,plain,
% 7.62/5.76 (~v104(constB168)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20071, 20069])).
% 7.62/5.76 tff(20073,plain,
% 7.62/5.76 ((~((~v102(constB168)) <=> v104(constB168))) | v102(constB168) | v104(constB168)),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20074,plain,
% 7.62/5.76 (v102(constB168)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20073, 20072, 20065])).
% 7.62/5.76 tff(20075,plain,
% 7.62/5.76 (v1(constB168) <=> v1(constB168)),
% 7.62/5.76 inference(rewrite,[status(thm)],[])).
% 7.62/5.76 tff(20076,axiom,(v1(constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_168')).
% 7.62/5.76 tff(20077,plain,
% 7.62/5.76 (v1(constB168)),
% 7.62/5.76 inference(modus_ponens,[status(thm)],[20076, 20075])).
% 7.62/5.76 tff(20078,plain,
% 7.62/5.76 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v1(constB168)) | (~v102(constB168))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20079,plain,
% 7.62/5.76 ((~((~v1(constB168)) | (~v102(constB168)))) | (~v102(constB168))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20078, 20077])).
% 7.62/5.76 tff(20080,plain,
% 7.62/5.76 (~((~v1(constB168)) | (~v102(constB168)))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20079, 20074])).
% 7.62/5.76 tff(20081,plain,
% 7.62/5.76 ((~(v101(constB168) <=> (~((~v1(constB168)) | (~v102(constB168)))))) | v101(constB168) | ((~v1(constB168)) | (~v102(constB168)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20082,plain,
% 7.62/5.76 (v101(constB168)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20081, 20080, 20061])).
% 7.62/5.76 tff(20083,plain,
% 7.62/5.76 (((~![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)))),
% 7.62/5.76 inference(rewrite,[status(thm)],[])).
% 7.62/5.76 tff(20084,plain,
% 7.62/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167)))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20085,plain,
% 7.62/5.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB167, constB168)) | (v110(constB168) <=> v108(constB167))),
% 7.62/5.76 inference(modus_ponens,[status(thm)],[20084, 20083])).
% 7.62/5.76 tff(20086,plain,
% 7.62/5.76 (v110(constB168) <=> v108(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20085, 12991, 4007])).
% 7.62/5.76 tff(20087,plain,
% 7.62/5.76 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB167) <=> (v111(constB167) | v112(constB167)))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20088,plain,
% 7.62/5.76 (v108(constB167) <=> (v111(constB167) | v112(constB167))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20087, 4018])).
% 7.62/5.76 tff(20089,plain,
% 7.62/5.76 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20090,plain,
% 7.62/5.76 (v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167))))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20089, 4030])).
% 7.62/5.76 tff(20091,plain,
% 7.62/5.76 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB167) <=> (v114(constB167) | v125(constB167)))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20092,plain,
% 7.62/5.76 (v113(constB167) <=> (v114(constB167) | v125(constB167))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20091, 4039])).
% 7.62/5.76 tff(20093,plain,
% 7.62/5.76 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB167) <=> (v115(constB167) | v124(constB167)))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20094,plain,
% 7.62/5.76 (v114(constB167) <=> (v115(constB167) | v124(constB167))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20093, 4048])).
% 7.62/5.76 tff(20095,plain,
% 7.62/5.76 ((v115(constB167) | v124(constB167)) | (~v124(constB167))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20096,plain,
% 7.62/5.76 (v115(constB167) | v124(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20095, 20039])).
% 7.62/5.76 tff(20097,plain,
% 7.62/5.76 ((~(v114(constB167) <=> (v115(constB167) | v124(constB167)))) | v114(constB167) | (~(v115(constB167) | v124(constB167)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20098,plain,
% 7.62/5.76 (v114(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20097, 20096, 20094])).
% 7.62/5.76 tff(20099,plain,
% 7.62/5.76 ((v114(constB167) | v125(constB167)) | (~v114(constB167))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20100,plain,
% 7.62/5.76 (v114(constB167) | v125(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20099, 20098])).
% 7.62/5.76 tff(20101,plain,
% 7.62/5.76 ((~(v113(constB167) <=> (v114(constB167) | v125(constB167)))) | v113(constB167) | (~(v114(constB167) | v125(constB167)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20102,plain,
% 7.62/5.76 (v113(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20101, 20100, 20092])).
% 7.62/5.76 tff(20103,plain,
% 7.62/5.76 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB167)) <=> v111(constB167))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20104,plain,
% 7.62/5.76 ((~v126(constB167)) <=> v111(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20103, 4118])).
% 7.62/5.76 tff(20105,plain,
% 7.62/5.76 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167) | v111(constB167)),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20106,plain,
% 7.62/5.76 ((~((~v126(constB167)) <=> v111(constB167))) | v126(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20105, 13004])).
% 7.62/5.76 tff(20107,plain,
% 7.62/5.76 (v126(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20106, 20104])).
% 7.62/5.76 tff(20108,plain,
% 7.62/5.76 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167)) | (~v126(constB167))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20109,plain,
% 7.62/5.76 ((~((~v113(constB167)) | (~v126(constB167)))) | (~v113(constB167))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20108, 20107])).
% 7.62/5.76 tff(20110,plain,
% 7.62/5.76 (~((~v113(constB167)) | (~v126(constB167)))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20109, 20102])).
% 7.62/5.76 tff(20111,plain,
% 7.62/5.76 ((~(v112(constB167) <=> (~((~v113(constB167)) | (~v126(constB167)))))) | v112(constB167) | ((~v113(constB167)) | (~v126(constB167)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20112,plain,
% 7.62/5.76 (v112(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20111, 20110, 20090])).
% 7.62/5.76 tff(20113,plain,
% 7.62/5.76 ((v111(constB167) | v112(constB167)) | (~v112(constB167))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20114,plain,
% 7.62/5.76 (v111(constB167) | v112(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20113, 20112])).
% 7.62/5.76 tff(20115,plain,
% 7.62/5.76 ((~(v108(constB167) <=> (v111(constB167) | v112(constB167)))) | v108(constB167) | (~(v111(constB167) | v112(constB167)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20116,plain,
% 7.62/5.76 (v108(constB167)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20115, 20114, 20088])).
% 7.62/5.76 tff(20117,plain,
% 7.62/5.76 ((~(v110(constB168) <=> v108(constB167))) | v110(constB168) | (~v108(constB167))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20118,plain,
% 7.62/5.76 (v110(constB168)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20117, 20116, 20086])).
% 7.62/5.76 tff(20119,plain,
% 7.62/5.76 ((~((~v101(constB168)) | (~v110(constB168)))) | (~v101(constB168)) | (~v110(constB168))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20120,plain,
% 7.62/5.76 (~((~v101(constB168)) | (~v110(constB168)))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20119, 20118, 20082])).
% 7.62/5.76 tff(20121,plain,
% 7.62/5.76 ((~(v100(constB168) <=> (~((~v101(constB168)) | (~v110(constB168)))))) | v100(constB168) | ((~v101(constB168)) | (~v110(constB168)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20122,plain,
% 7.62/5.76 (v100(constB168)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20121, 20120, 20054])).
% 7.62/5.76 tff(20123,plain,
% 7.62/5.76 (((~![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)))))),
% 7.62/5.76 inference(rewrite,[status(thm)],[])).
% 7.62/5.76 tff(20124,plain,
% 7.62/5.76 ((~![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)))))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20125,plain,
% 7.62/5.76 ((~![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))))),
% 7.62/5.76 inference(modus_ponens,[status(thm)],[20124, 20123])).
% 7.62/5.76 tff(20126,plain,
% 7.62/5.76 ((~v100(constB168)) | (~(((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0))))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20125, 4151])).
% 7.62/5.76 tff(20127,plain,
% 7.62/5.76 (~(((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0)))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20126, 20122])).
% 7.62/5.76 tff(20128,plain,
% 7.62/5.76 ((((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0))) | (~((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20129,plain,
% 7.62/5.76 (~((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20128, 20127])).
% 7.62/5.76 tff(20130,plain,
% 7.62/5.76 (((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | v90(constB168, bitIndex2) | (~v129(constB168, bitIndex2))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20131,plain,
% 7.62/5.76 (v90(constB168, bitIndex2)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20130, 20129, 20050])).
% 7.62/5.76 tff(20132,plain,
% 7.62/5.76 (((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | v90(constB169, bitIndex2) | (~v90(constB168, bitIndex2))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20133,plain,
% 7.62/5.76 (v90(constB169, bitIndex2)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20132, 20131, 12988])).
% 7.62/5.76 tff(20134,plain,
% 7.62/5.76 ((v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex2))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20135,plain,
% 7.62/5.76 (v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20134, 20133])).
% 7.62/5.76 tff(20136,plain,
% 7.62/5.76 ((~(v119(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2))))) | (~v119(constB169)) | (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | v90(constB169, bitIndex2)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20137,plain,
% 7.62/5.76 (~v119(constB169)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20136, 20135, 12952])).
% 7.62/5.76 tff(20138,plain,
% 7.62/5.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex0))))))),
% 7.62/5.76 inference(rewrite,[status(thm)],[])).
% 7.62/5.76 tff(20139,plain,
% 7.62/5.76 ((v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2))))) <=> (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex0)))))),
% 7.62/5.76 inference(rewrite,[status(thm)],[])).
% 7.62/5.76 tff(20140,plain,
% 7.62/5.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex0))))))),
% 7.62/5.76 inference(monotonicity,[status(thm)],[20139])).
% 7.62/5.76 tff(20141,plain,
% 7.62/5.76 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex0))))))),
% 7.62/5.76 inference(transitivity,[status(thm)],[20140, 20138])).
% 7.62/5.76 tff(20142,plain,
% 7.62/5.76 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex2)))))),
% 7.62/5.76 inference(quant_inst,[status(thm)],[])).
% 7.62/5.76 tff(20143,plain,
% 7.62/5.76 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex0)))))),
% 7.62/5.76 inference(modus_ponens,[status(thm)],[20142, 20141])).
% 7.62/5.76 tff(20144,plain,
% 7.62/5.76 (v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex0))))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20143, 801])).
% 7.62/5.76 tff(20145,plain,
% 7.62/5.76 ((((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))) | (~((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20146,plain,
% 7.62/5.76 (~((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20145, 12986])).
% 7.62/5.76 tff(20147,plain,
% 7.62/5.76 ((((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0))) | (~((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20148,plain,
% 7.62/5.76 (~((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20147, 12995])).
% 7.62/5.76 tff(20149,plain,
% 7.62/5.76 ((((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1))) | (~((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20150,plain,
% 7.62/5.76 (~((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20149, 13009])).
% 7.62/5.76 tff(20151,plain,
% 7.62/5.76 ((v130(constB167, bitIndex0) | (~v130(constB167, bitIndex2)) | (~v130(constB167, bitIndex1))) | v130(constB167, bitIndex1)),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20152,plain,
% 7.62/5.76 (v130(constB167, bitIndex1)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20151, 20044])).
% 7.62/5.76 tff(20153,plain,
% 7.62/5.76 (((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1)) | v127(constB167, bitIndex1) | (~v130(constB167, bitIndex1))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20154,plain,
% 7.62/5.76 (v127(constB167, bitIndex1)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20153, 20152, 20150])).
% 7.62/5.76 tff(20155,plain,
% 7.62/5.76 (((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | v129(constB168, bitIndex1) | (~v127(constB167, bitIndex1))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20156,plain,
% 7.62/5.76 (v129(constB168, bitIndex1)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20155, 20154, 20148])).
% 7.62/5.76 tff(20157,plain,
% 7.62/5.76 ((((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0))) | (~((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20158,plain,
% 7.62/5.76 (~((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1))),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20157, 20127])).
% 7.62/5.76 tff(20159,plain,
% 7.62/5.76 (((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20160,plain,
% 7.62/5.76 (v90(constB168, bitIndex1)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20159, 20158, 20156])).
% 7.62/5.76 tff(20161,plain,
% 7.62/5.76 (((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | v90(constB169, bitIndex1) | (~v90(constB168, bitIndex1))),
% 7.62/5.76 inference(tautology,[status(thm)],[])).
% 7.62/5.76 tff(20162,plain,
% 7.62/5.76 (v90(constB169, bitIndex1)),
% 7.62/5.76 inference(unit_resolution,[status(thm)],[20161, 20160, 20146])).
% 7.62/5.77 tff(20163,plain,
% 7.62/5.77 ((v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex0))) | (~v90(constB169, bitIndex1))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20164,plain,
% 7.62/5.77 (v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex0))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20163, 20162])).
% 7.62/5.77 tff(20165,plain,
% 7.62/5.77 ((~(v124(constB169) <=> (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex0)))))) | (~v124(constB169)) | (~(v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)) | (~v90(constB169, bitIndex0))))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20166,plain,
% 7.62/5.77 (~v124(constB169)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20165, 20164, 20144])).
% 7.62/5.77 tff(20167,plain,
% 7.62/5.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex2))))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20168,plain,
% 7.62/5.77 ((v123(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2))))) <=> (v123(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex2)))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20169,plain,
% 7.62/5.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex2))))))),
% 7.62/5.77 inference(monotonicity,[status(thm)],[20168])).
% 7.62/5.77 tff(20170,plain,
% 7.62/5.77 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex2))))))),
% 7.62/5.77 inference(transitivity,[status(thm)],[20169, 20167])).
% 7.62/5.77 tff(20171,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex1) | (~v90(constB169, bitIndex2)))))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20172,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex2)))))),
% 7.62/5.77 inference(modus_ponens,[status(thm)],[20171, 20170])).
% 7.62/5.77 tff(20173,plain,
% 7.62/5.77 (v123(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex2))))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20172, 880])).
% 7.62/5.77 tff(20174,plain,
% 7.62/5.77 ((v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex2))) | (~v90(constB169, bitIndex1))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20175,plain,
% 7.62/5.77 (v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex2))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20174, 20162])).
% 7.62/5.77 tff(20176,plain,
% 7.62/5.77 ((~(v123(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex2)))))) | (~v123(constB169)) | (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex2))))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20177,plain,
% 7.62/5.77 (~v123(constB169)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20176, 20175, 20173])).
% 7.62/5.77 tff(20178,plain,
% 7.62/5.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20179,plain,
% 7.62/5.77 ((v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1))))) <=> (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0)))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20180,plain,
% 7.62/5.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))))),
% 7.62/5.77 inference(monotonicity,[status(thm)],[20179])).
% 7.62/5.77 tff(20181,plain,
% 7.62/5.77 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))))),
% 7.62/5.77 inference(transitivity,[status(thm)],[20180, 20178])).
% 7.62/5.77 tff(20182,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)) | (~v90(constB169, bitIndex1)))))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20183,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0)))))),
% 7.62/5.77 inference(modus_ponens,[status(thm)],[20182, 20181])).
% 7.62/5.77 tff(20184,plain,
% 7.62/5.77 (v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20183, 959])).
% 7.62/5.77 tff(20185,plain,
% 7.62/5.77 ((v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))) | (~v90(constB169, bitIndex2))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20186,plain,
% 7.62/5.77 (v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20185, 20133])).
% 7.62/5.77 tff(20187,plain,
% 7.62/5.77 ((~(v122(constB169) <=> (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0)))))) | (~v122(constB169)) | (~(v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex0))))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20188,plain,
% 7.62/5.77 (~v122(constB169)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20187, 20186, 20184])).
% 7.62/5.77 tff(20189,plain,
% 7.62/5.77 (((~![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))))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20190,plain,
% 7.62/5.77 ((v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1))))) <=> (v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20191,plain,
% 7.62/5.77 (((~![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))))))),
% 7.62/5.77 inference(monotonicity,[status(thm)],[20190])).
% 7.62/5.77 tff(20192,plain,
% 7.62/5.77 (((~![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))))))),
% 7.62/5.77 inference(transitivity,[status(thm)],[20191, 20189])).
% 7.62/5.77 tff(20193,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex0) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex1)))))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20194,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)))))),
% 7.62/5.77 inference(modus_ponens,[status(thm)],[20193, 20192])).
% 7.62/5.77 tff(20195,plain,
% 7.62/5.77 (v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1))))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20194, 574])).
% 7.62/5.77 tff(20196,plain,
% 7.62/5.77 ((v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1))) | (~v90(constB169, bitIndex2))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20197,plain,
% 7.62/5.77 (v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20196, 20133])).
% 7.62/5.77 tff(20198,plain,
% 7.62/5.77 ((~(v121(constB169) <=> (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)))))) | (~v121(constB169)) | (~(v90(constB169, bitIndex2) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1))))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20199,plain,
% 7.62/5.77 (~v121(constB169)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20198, 20197, 20195])).
% 7.62/5.77 tff(20200,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)))))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20201,plain,
% 7.62/5.77 (v120(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0))))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20200, 653])).
% 7.62/5.77 tff(20202,plain,
% 7.62/5.77 ((v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0))) | (~v90(constB169, bitIndex2))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20203,plain,
% 7.62/5.77 (v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20202, 20133])).
% 7.62/5.77 tff(20204,plain,
% 7.62/5.77 ((~(v120(constB169) <=> (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0)))))) | (~v120(constB169)) | (~(v90(constB169, bitIndex1) | v90(constB169, bitIndex2) | (~v90(constB169, bitIndex0))))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20205,plain,
% 7.62/5.77 (~v120(constB169)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20204, 20203, 20201])).
% 7.62/5.77 tff(20206,plain,
% 7.62/5.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, 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(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0)))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20207,plain,
% 7.62/5.77 ((v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0))))) <=> (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0)))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20208,plain,
% 7.62/5.77 ((~(v130(constB169, bitIndex1) | v130(constB169, bitIndex2) | (~v130(constB169, bitIndex0)))) <=> (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20209,plain,
% 7.62/5.77 ((v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~(v130(constB169, bitIndex1) | v130(constB169, bitIndex2) | (~v130(constB169, bitIndex0))))) <=> (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0)))))),
% 7.62/5.77 inference(monotonicity,[status(thm)],[20208])).
% 7.62/5.77 tff(20210,plain,
% 7.62/5.77 ((v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~(v130(constB169, bitIndex1) | v130(constB169, bitIndex2) | (~v130(constB169, bitIndex0))))) <=> (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0)))))),
% 7.62/5.77 inference(transitivity,[status(thm)],[20209, 20207])).
% 7.62/5.77 tff(20211,plain,
% 7.62/5.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~(v130(constB169, bitIndex1) | v130(constB169, bitIndex2) | (~v130(constB169, 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(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0))))))),
% 7.62/5.77 inference(monotonicity,[status(thm)],[20210])).
% 7.62/5.77 tff(20212,plain,
% 7.62/5.77 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~(v130(constB169, bitIndex1) | v130(constB169, bitIndex2) | (~v130(constB169, 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(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0)))))),
% 7.62/5.77 inference(transitivity,[status(thm)],[20211, 20206])).
% 7.62/5.77 tff(20213,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB169) | v123(constB169) | v122(constB169) | v121(constB169) | v120(constB169) | v119(constB169) | (~(v130(constB169, bitIndex1) | v130(constB169, bitIndex2) | (~v130(constB169, bitIndex0)))))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20214,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0))))),
% 7.62/5.77 inference(modus_ponens,[status(thm)],[20213, 20212])).
% 7.62/5.77 tff(20215,plain,
% 7.62/5.77 (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0))))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20214, 5057])).
% 7.62/5.77 tff(20216,plain,
% 7.62/5.77 (~(v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0)))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20215, 20205, 20199, 20188, 20177, 20166, 20137])).
% 7.62/5.77 tff(20217,plain,
% 7.62/5.77 ((v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0))) | (~v130(constB169, bitIndex2))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20218,plain,
% 7.62/5.77 (~v130(constB169, bitIndex2)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20217, 20216])).
% 7.62/5.77 tff(20219,plain,
% 7.62/5.77 (((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | (~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20220,plain,
% 7.62/5.77 (~v127(constB169, bitIndex2)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20219, 20218, 12950])).
% 7.62/5.77 tff(20221,plain,
% 7.62/5.77 (((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | (~v129(constB170, bitIndex2)) | v127(constB169, bitIndex2)),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20222,plain,
% 7.62/5.77 (~v129(constB170, bitIndex2)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20221, 20220, 12936])).
% 7.62/5.77 tff(20223,plain,
% 7.62/5.77 (((~![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))))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20224,plain,
% 7.62/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20225,plain,
% 7.62/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB169, constB170)) | (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))),
% 7.62/5.77 inference(modus_ponens,[status(thm)],[20224, 20223])).
% 7.62/5.77 tff(20226,plain,
% 7.62/5.77 (v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170))))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20225, 12930, 433])).
% 7.62/5.77 tff(20227,plain,
% 7.62/5.77 (((~![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))))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20228,plain,
% 7.62/5.77 (((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170)))))) <=> ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20229,plain,
% 7.62/5.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))))),
% 7.62/5.77 inference(monotonicity,[status(thm)],[20228])).
% 7.62/5.77 tff(20230,plain,
% 7.62/5.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))))),
% 7.62/5.77 inference(transitivity,[status(thm)],[20229, 20227])).
% 7.62/5.77 tff(20231,plain,
% 7.62/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v102(constB170)) | (~v1(constB170))))))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20232,plain,
% 7.62/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))),
% 7.62/5.77 inference(modus_ponens,[status(thm)],[20231, 20230])).
% 7.62/5.77 tff(20233,plain,
% 7.62/5.77 (v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170))))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20232, 12930, 453])).
% 7.62/5.77 tff(20234,plain,
% 7.62/5.77 (((~![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)))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20235,plain,
% 7.62/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170)))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20236,plain,
% 7.62/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB169, constB170)) | ((~v102(constB170)) <=> v104(constB170))),
% 7.62/5.77 inference(modus_ponens,[status(thm)],[20235, 20234])).
% 7.62/5.77 tff(20237,plain,
% 7.62/5.77 ((~v102(constB170)) <=> v104(constB170)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20236, 12930, 3966])).
% 7.62/5.77 tff(20238,plain,
% 7.62/5.77 (((~![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)))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20239,plain,
% 7.62/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169)))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20240,plain,
% 7.62/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v1(constB169))),
% 7.62/5.77 inference(modus_ponens,[status(thm)],[20239, 20238])).
% 7.62/5.77 tff(20241,plain,
% 7.62/5.77 (v104(constB170) <=> v1(constB169)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20240, 12930, 3980])).
% 7.62/5.77 tff(20242,plain,
% 7.62/5.77 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170)) | v1(constB169)),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20243,plain,
% 7.62/5.77 ((~(v104(constB170) <=> v1(constB169))) | (~v104(constB170))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20242, 12969])).
% 7.62/5.77 tff(20244,plain,
% 7.62/5.77 (~v104(constB170)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20243, 20241])).
% 7.62/5.77 tff(20245,plain,
% 7.62/5.77 ((~((~v102(constB170)) <=> v104(constB170))) | v102(constB170) | v104(constB170)),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20246,plain,
% 7.62/5.77 (v102(constB170)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20245, 20244, 20237])).
% 7.62/5.77 tff(20247,plain,
% 7.62/5.77 (v1(constB170) <=> v1(constB170)),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20248,axiom,(v1(constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_170')).
% 7.62/5.77 tff(20249,plain,
% 7.62/5.77 (v1(constB170)),
% 7.62/5.77 inference(modus_ponens,[status(thm)],[20248, 20247])).
% 7.62/5.77 tff(20250,plain,
% 7.62/5.77 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v1(constB170)) | (~v102(constB170))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20251,plain,
% 7.62/5.77 ((~((~v1(constB170)) | (~v102(constB170)))) | (~v102(constB170))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20250, 20249])).
% 7.62/5.77 tff(20252,plain,
% 7.62/5.77 (~((~v1(constB170)) | (~v102(constB170)))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20251, 20246])).
% 7.62/5.77 tff(20253,plain,
% 7.62/5.77 ((~(v101(constB170) <=> (~((~v1(constB170)) | (~v102(constB170)))))) | v101(constB170) | ((~v1(constB170)) | (~v102(constB170)))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20254,plain,
% 7.62/5.77 (v101(constB170)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20253, 20252, 20233])).
% 7.62/5.77 tff(20255,plain,
% 7.62/5.77 (((~![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)))),
% 7.62/5.77 inference(rewrite,[status(thm)],[])).
% 7.62/5.77 tff(20256,plain,
% 7.62/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169)))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20257,plain,
% 7.62/5.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB169, constB170)) | (v110(constB170) <=> v108(constB169))),
% 7.62/5.77 inference(modus_ponens,[status(thm)],[20256, 20255])).
% 7.62/5.77 tff(20258,plain,
% 7.62/5.77 (v110(constB170) <=> v108(constB169)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20257, 12930, 4007])).
% 7.62/5.77 tff(20259,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB169) <=> (v111(constB169) | v112(constB169)))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20260,plain,
% 7.62/5.77 (v108(constB169) <=> (v111(constB169) | v112(constB169))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20259, 4018])).
% 7.62/5.77 tff(20261,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20262,plain,
% 7.62/5.77 (v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169))))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20261, 4030])).
% 7.62/5.77 tff(20263,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB169) <=> (v114(constB169) | v125(constB169)))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20264,plain,
% 7.62/5.77 (v113(constB169) <=> (v114(constB169) | v125(constB169))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20263, 4039])).
% 7.62/5.77 tff(20265,plain,
% 7.62/5.77 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB169) <=> (~(v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)))))),
% 7.62/5.77 inference(quant_inst,[status(thm)],[])).
% 7.62/5.77 tff(20266,plain,
% 7.62/5.77 (v125(constB169) <=> (~(v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2))))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20265, 5129])).
% 7.62/5.77 tff(20267,plain,
% 7.62/5.77 ((((~v90(constB169, bitIndex1)) <=> v90(constB168, bitIndex1)) | ((~v90(constB169, bitIndex2)) <=> v90(constB168, bitIndex2)) | ((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))) | (~((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20268,plain,
% 7.62/5.77 (~((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20267, 12986])).
% 7.62/5.77 tff(20269,plain,
% 7.62/5.77 ((((~v129(constB168, bitIndex2)) <=> v127(constB167, bitIndex2)) | ((~v129(constB168, bitIndex1)) <=> v127(constB167, bitIndex1)) | ((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0))) | (~((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0)))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20270,plain,
% 7.62/5.77 (~((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20269, 12995])).
% 7.62/5.77 tff(20271,plain,
% 7.62/5.77 ((((~v127(constB167, bitIndex2)) <=> v130(constB167, bitIndex2)) | ((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)) | ((~v127(constB167, bitIndex1)) <=> v130(constB167, bitIndex1))) | (~((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20272,plain,
% 7.62/5.77 (~((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0))),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20271, 13009])).
% 7.62/5.77 tff(20273,plain,
% 7.62/5.77 ((v130(constB167, bitIndex0) | (~v130(constB167, bitIndex2)) | (~v130(constB167, bitIndex1))) | (~v130(constB167, bitIndex0))),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20274,plain,
% 7.62/5.77 (~v130(constB167, bitIndex0)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20273, 20044])).
% 7.62/5.77 tff(20275,plain,
% 7.62/5.77 (((~v127(constB167, bitIndex0)) <=> v130(constB167, bitIndex0)) | (~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20276,plain,
% 7.62/5.77 (~v127(constB167, bitIndex0)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20275, 20274, 20272])).
% 7.62/5.77 tff(20277,plain,
% 7.62/5.77 (((~v129(constB168, bitIndex0)) <=> v127(constB167, bitIndex0)) | (~v129(constB168, bitIndex0)) | v127(constB167, bitIndex0)),
% 7.62/5.77 inference(tautology,[status(thm)],[])).
% 7.62/5.77 tff(20278,plain,
% 7.62/5.77 (~v129(constB168, bitIndex0)),
% 7.62/5.77 inference(unit_resolution,[status(thm)],[20277, 20276, 20270])).
% 7.62/5.77 tff(20279,plain,
% 7.62/5.77 ((((~v90(constB168, bitIndex2)) <=> v129(constB168, bitIndex2)) | ((~v90(constB168, bitIndex1)) <=> v129(constB168, bitIndex1)) | ((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0))) | (~((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20280,plain,
% 7.62/5.78 (~((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20279, 20127])).
% 7.62/5.78 tff(20281,plain,
% 7.62/5.78 (((~v90(constB168, bitIndex0)) <=> v129(constB168, bitIndex0)) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20282,plain,
% 7.62/5.78 (~v90(constB168, bitIndex0)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20281, 20280, 20278])).
% 7.62/5.78 tff(20283,plain,
% 7.62/5.78 (((~v90(constB169, bitIndex0)) <=> v90(constB168, bitIndex0)) | (~v90(constB169, bitIndex0)) | v90(constB168, bitIndex0)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20284,plain,
% 7.62/5.78 (~v90(constB169, bitIndex0)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20283, 20282, 20268])).
% 7.62/5.78 tff(20285,plain,
% 7.62/5.78 ((~(v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20286,plain,
% 7.62/5.78 (~(v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20285, 20162, 20284, 20133])).
% 7.62/5.78 tff(20287,plain,
% 7.62/5.78 ((~(v125(constB169) <=> (~(v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)))))) | v125(constB169) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | (~v90(constB169, bitIndex2)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20288,plain,
% 7.62/5.78 (v125(constB169)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20287, 20286, 20266])).
% 7.62/5.78 tff(20289,plain,
% 7.62/5.78 ((v114(constB169) | v125(constB169)) | (~v125(constB169))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20290,plain,
% 7.62/5.78 (v114(constB169) | v125(constB169)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20289, 20288])).
% 7.62/5.78 tff(20291,plain,
% 7.62/5.78 ((~(v113(constB169) <=> (v114(constB169) | v125(constB169)))) | v113(constB169) | (~(v114(constB169) | v125(constB169)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20292,plain,
% 7.62/5.78 (v113(constB169)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20291, 20290, 20264])).
% 7.62/5.78 tff(20293,plain,
% 7.62/5.78 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB169)) <=> v111(constB169))),
% 7.62/5.78 inference(quant_inst,[status(thm)],[])).
% 7.62/5.78 tff(20294,plain,
% 7.62/5.78 ((~v126(constB169)) <=> v111(constB169)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20293, 4118])).
% 7.62/5.78 tff(20295,plain,
% 7.62/5.78 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169) | v111(constB169)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20296,plain,
% 7.62/5.78 ((~((~v126(constB169)) <=> v111(constB169))) | v126(constB169)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20295, 12943])).
% 7.62/5.78 tff(20297,plain,
% 7.62/5.78 (v126(constB169)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20296, 20294])).
% 7.62/5.78 tff(20298,plain,
% 7.62/5.78 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169)) | (~v126(constB169))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20299,plain,
% 7.62/5.78 ((~((~v113(constB169)) | (~v126(constB169)))) | (~v113(constB169))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20298, 20297])).
% 7.62/5.78 tff(20300,plain,
% 7.62/5.78 (~((~v113(constB169)) | (~v126(constB169)))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20299, 20292])).
% 7.62/5.78 tff(20301,plain,
% 7.62/5.78 ((~(v112(constB169) <=> (~((~v113(constB169)) | (~v126(constB169)))))) | v112(constB169) | ((~v113(constB169)) | (~v126(constB169)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20302,plain,
% 7.62/5.78 (v112(constB169)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20301, 20300, 20262])).
% 7.62/5.78 tff(20303,plain,
% 7.62/5.78 ((v111(constB169) | v112(constB169)) | (~v112(constB169))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20304,plain,
% 7.62/5.78 (v111(constB169) | v112(constB169)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20303, 20302])).
% 7.62/5.78 tff(20305,plain,
% 7.62/5.78 ((~(v108(constB169) <=> (v111(constB169) | v112(constB169)))) | v108(constB169) | (~(v111(constB169) | v112(constB169)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20306,plain,
% 7.62/5.78 (v108(constB169)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20305, 20304, 20260])).
% 7.62/5.78 tff(20307,plain,
% 7.62/5.78 ((~(v110(constB170) <=> v108(constB169))) | v110(constB170) | (~v108(constB169))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20308,plain,
% 7.62/5.78 (v110(constB170)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20307, 20306, 20258])).
% 7.62/5.78 tff(20309,plain,
% 7.62/5.78 ((~((~v101(constB170)) | (~v110(constB170)))) | (~v101(constB170)) | (~v110(constB170))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20310,plain,
% 7.62/5.78 (~((~v101(constB170)) | (~v110(constB170)))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20309, 20308, 20254])).
% 7.62/5.78 tff(20311,plain,
% 7.62/5.78 ((~(v100(constB170) <=> (~((~v101(constB170)) | (~v110(constB170)))))) | v100(constB170) | ((~v101(constB170)) | (~v110(constB170)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20312,plain,
% 7.62/5.78 (v100(constB170)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20311, 20310, 20226])).
% 7.62/5.78 tff(20313,plain,
% 7.62/5.78 (((~![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)))))),
% 7.62/5.78 inference(rewrite,[status(thm)],[])).
% 7.62/5.78 tff(20314,plain,
% 7.62/5.78 (((~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)))))),
% 7.62/5.78 inference(rewrite,[status(thm)],[])).
% 7.62/5.78 tff(20315,plain,
% 7.62/5.78 (((~![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))))))),
% 7.62/5.78 inference(monotonicity,[status(thm)],[20314])).
% 7.62/5.78 tff(20316,plain,
% 7.62/5.78 (((~![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)))))),
% 7.62/5.78 inference(transitivity,[status(thm)],[20315, 20313])).
% 7.62/5.78 tff(20317,plain,
% 7.62/5.78 ((~![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)))))),
% 7.62/5.78 inference(quant_inst,[status(thm)],[])).
% 7.62/5.78 tff(20318,plain,
% 7.62/5.78 ((~![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))))),
% 7.62/5.78 inference(modus_ponens,[status(thm)],[20317, 20316])).
% 7.62/5.78 tff(20319,plain,
% 7.62/5.78 ((~v100(constB170)) | (~(((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20318, 4151])).
% 7.62/5.78 tff(20320,plain,
% 7.62/5.78 (~(((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20319, 20312])).
% 7.62/5.78 tff(20321,plain,
% 7.62/5.78 ((((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))) | (~((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20322,plain,
% 7.62/5.78 (~((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20321, 20320])).
% 7.62/5.78 tff(20323,plain,
% 7.62/5.78 (((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20324,plain,
% 7.62/5.78 (~v90(constB170, bitIndex2)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20323, 20322, 20222])).
% 7.62/5.78 tff(20325,plain,
% 7.62/5.78 (((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | (~v90(constB171, bitIndex2)) | v90(constB170, bitIndex2)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20326,plain,
% 7.62/5.78 (~v90(constB171, bitIndex2)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20325, 20324, 12927])).
% 7.62/5.78 tff(20327,plain,
% 7.62/5.78 ((((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))) | (~((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20328,plain,
% 7.62/5.78 (~((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20327, 12925])).
% 7.62/5.78 tff(20329,plain,
% 7.62/5.78 ((((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0))) | (~((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20330,plain,
% 7.62/5.78 (~((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20329, 12934])).
% 7.62/5.78 tff(20331,plain,
% 7.62/5.78 ((((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1))) | (~((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20332,plain,
% 7.62/5.78 (~((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20331, 12948])).
% 7.62/5.78 tff(20333,plain,
% 7.62/5.78 ((v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0))) | v130(constB169, bitIndex0)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20334,plain,
% 7.62/5.78 (v130(constB169, bitIndex0)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20333, 20216])).
% 7.62/5.78 tff(20335,plain,
% 7.62/5.78 (((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)) | v127(constB169, bitIndex0) | (~v130(constB169, bitIndex0))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20336,plain,
% 7.62/5.78 (v127(constB169, bitIndex0)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20335, 20334, 20332])).
% 7.62/5.78 tff(20337,plain,
% 7.62/5.78 (((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0)) | v129(constB170, bitIndex0) | (~v127(constB169, bitIndex0))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20338,plain,
% 7.62/5.78 (v129(constB170, bitIndex0)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20337, 20336, 20330])).
% 7.62/5.78 tff(20339,plain,
% 7.62/5.78 ((((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))) | (~((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20340,plain,
% 7.62/5.78 (~((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20339, 20320])).
% 7.62/5.78 tff(20341,plain,
% 7.62/5.78 (((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20342,plain,
% 7.62/5.78 (v90(constB170, bitIndex0)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20341, 20340, 20338])).
% 7.62/5.78 tff(20343,plain,
% 7.62/5.78 (((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0)) | v90(constB171, bitIndex0) | (~v90(constB170, bitIndex0))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20344,plain,
% 7.62/5.78 (v90(constB171, bitIndex0)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20343, 20342, 20328])).
% 7.62/5.78 tff(20345,plain,
% 7.62/5.78 ((((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | ((~v90(constB171, bitIndex2)) <=> v90(constB170, bitIndex2)) | ((~v90(constB171, bitIndex0)) <=> v90(constB170, bitIndex0))) | (~((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20346,plain,
% 7.62/5.78 (~((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20345, 12925])).
% 7.62/5.78 tff(20347,plain,
% 7.62/5.78 ((((~v129(constB170, bitIndex2)) <=> v127(constB169, bitIndex2)) | ((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | ((~v129(constB170, bitIndex0)) <=> v127(constB169, bitIndex0))) | (~((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20348,plain,
% 7.62/5.78 (~((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20347, 12934])).
% 7.62/5.78 tff(20349,plain,
% 7.62/5.78 ((((~v127(constB169, bitIndex2)) <=> v130(constB169, bitIndex2)) | ((~v127(constB169, bitIndex0)) <=> v130(constB169, bitIndex0)) | ((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1))) | (~((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20350,plain,
% 7.62/5.78 (~((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20349, 12948])).
% 7.62/5.78 tff(20351,plain,
% 7.62/5.78 ((v130(constB169, bitIndex2) | v130(constB169, bitIndex1) | (~v130(constB169, bitIndex0))) | (~v130(constB169, bitIndex1))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20352,plain,
% 7.62/5.78 (~v130(constB169, bitIndex1)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20351, 20216])).
% 7.62/5.78 tff(20353,plain,
% 7.62/5.78 (((~v127(constB169, bitIndex1)) <=> v130(constB169, bitIndex1)) | (~v127(constB169, bitIndex1)) | v130(constB169, bitIndex1)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20354,plain,
% 7.62/5.78 (~v127(constB169, bitIndex1)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20353, 20352, 20350])).
% 7.62/5.78 tff(20355,plain,
% 7.62/5.78 (((~v129(constB170, bitIndex1)) <=> v127(constB169, bitIndex1)) | (~v129(constB170, bitIndex1)) | v127(constB169, bitIndex1)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20356,plain,
% 7.62/5.78 (~v129(constB170, bitIndex1)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20355, 20354, 20348])).
% 7.62/5.78 tff(20357,plain,
% 7.62/5.78 ((((~v90(constB170, bitIndex0)) <=> v129(constB170, bitIndex0)) | ((~v90(constB170, bitIndex2)) <=> v129(constB170, bitIndex2)) | ((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))) | (~((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20358,plain,
% 7.62/5.78 (~((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20357, 20320])).
% 7.62/5.78 tff(20359,plain,
% 7.62/5.78 (((~v90(constB170, bitIndex1)) <=> v129(constB170, bitIndex1)) | (~v90(constB170, bitIndex1)) | v129(constB170, bitIndex1)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20360,plain,
% 7.62/5.78 (~v90(constB170, bitIndex1)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20359, 20358, 20356])).
% 7.62/5.78 tff(20361,plain,
% 7.62/5.78 (((~v90(constB171, bitIndex1)) <=> v90(constB170, bitIndex1)) | (~v90(constB171, bitIndex1)) | v90(constB170, bitIndex1)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20362,plain,
% 7.62/5.78 (~v90(constB171, bitIndex1)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20361, 20360, 20346])).
% 7.62/5.78 tff(20363,plain,
% 7.62/5.78 ((~(v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)))) | v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20364,plain,
% 7.62/5.78 (~(v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20363, 20362, 20344, 20326])).
% 7.62/5.78 tff(20365,plain,
% 7.62/5.78 ((~(v120(constB171) <=> (~(v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)))))) | v120(constB171) | (v90(constB171, bitIndex1) | v90(constB171, bitIndex2) | (~v90(constB171, bitIndex0)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20366,plain,
% 7.62/5.78 (v120(constB171)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20365, 20364, 12891])).
% 7.62/5.78 tff(20367,plain,
% 7.62/5.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB171)) | (~(v130(constB171, bitIndex2) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB171)) | (~(v130(constB171, bitIndex2) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex1)))))),
% 7.62/5.78 inference(rewrite,[status(thm)],[])).
% 7.62/5.78 tff(20368,plain,
% 7.62/5.78 (((~v120(constB171)) | (~(v130(constB171, bitIndex0) | v130(constB171, bitIndex2) | (~v130(constB171, bitIndex1))))) <=> ((~v120(constB171)) | (~(v130(constB171, bitIndex2) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex1)))))),
% 7.62/5.78 inference(rewrite,[status(thm)],[])).
% 7.62/5.78 tff(20369,plain,
% 7.62/5.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB171)) | (~(v130(constB171, bitIndex0) | v130(constB171, bitIndex2) | (~v130(constB171, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB171)) | (~(v130(constB171, bitIndex2) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex1))))))),
% 7.62/5.78 inference(monotonicity,[status(thm)],[20368])).
% 7.62/5.78 tff(20370,plain,
% 7.62/5.78 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB171)) | (~(v130(constB171, bitIndex0) | v130(constB171, bitIndex2) | (~v130(constB171, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB171)) | (~(v130(constB171, bitIndex2) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex1)))))),
% 7.62/5.78 inference(transitivity,[status(thm)],[20369, 20367])).
% 7.62/5.78 tff(20371,plain,
% 7.62/5.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB171)) | (~(v130(constB171, bitIndex0) | v130(constB171, bitIndex2) | (~v130(constB171, bitIndex1)))))),
% 7.62/5.78 inference(quant_inst,[status(thm)],[])).
% 7.62/5.78 tff(20372,plain,
% 7.62/5.78 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB171)) | (~(v130(constB171, bitIndex2) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex1))))),
% 7.62/5.78 inference(modus_ponens,[status(thm)],[20371, 20370])).
% 7.62/5.78 tff(20373,plain,
% 7.62/5.78 ((~v120(constB171)) | (~(v130(constB171, bitIndex2) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex1))))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20372, 4218])).
% 7.62/5.78 tff(20374,plain,
% 7.62/5.78 (~(v130(constB171, bitIndex2) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex1)))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20373, 20366])).
% 7.62/5.78 tff(20375,plain,
% 7.62/5.78 ((v130(constB171, bitIndex2) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex1))) | (~v130(constB171, bitIndex2))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20376,plain,
% 7.62/5.78 (~v130(constB171, bitIndex2)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20375, 20374])).
% 7.62/5.78 tff(20377,plain,
% 7.62/5.78 (((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | (~v127(constB171, bitIndex2)) | v130(constB171, bitIndex2)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20378,plain,
% 7.62/5.78 (~v127(constB171, bitIndex2)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20377, 20376, 12889])).
% 7.62/5.78 tff(20379,plain,
% 7.62/5.78 (((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | (~v129(constB172, bitIndex2)) | v127(constB171, bitIndex2)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20380,plain,
% 7.62/5.78 (~v129(constB172, bitIndex2)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20379, 20378, 12875])).
% 7.62/5.78 tff(20381,plain,
% 7.62/5.78 (((~![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))))))),
% 7.62/5.78 inference(rewrite,[status(thm)],[])).
% 7.62/5.78 tff(20382,plain,
% 7.62/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))))),
% 7.62/5.78 inference(quant_inst,[status(thm)],[])).
% 7.62/5.78 tff(20383,plain,
% 7.62/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB171, constB172)) | (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))),
% 7.62/5.78 inference(modus_ponens,[status(thm)],[20382, 20381])).
% 7.62/5.78 tff(20384,plain,
% 7.62/5.78 (v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172))))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20383, 12869, 433])).
% 7.62/5.78 tff(20385,plain,
% 7.62/5.78 (((~![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))))))),
% 7.62/5.78 inference(rewrite,[status(thm)],[])).
% 7.62/5.78 tff(20386,plain,
% 7.62/5.78 (((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172)))))) <=> ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 7.62/5.78 inference(rewrite,[status(thm)],[])).
% 7.62/5.78 tff(20387,plain,
% 7.62/5.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))))),
% 7.62/5.78 inference(monotonicity,[status(thm)],[20386])).
% 7.62/5.78 tff(20388,plain,
% 7.62/5.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))))),
% 7.62/5.78 inference(transitivity,[status(thm)],[20387, 20385])).
% 7.62/5.78 tff(20389,plain,
% 7.62/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v102(constB172)) | (~v1(constB172))))))),
% 7.62/5.78 inference(quant_inst,[status(thm)],[])).
% 7.62/5.78 tff(20390,plain,
% 7.62/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))),
% 7.62/5.78 inference(modus_ponens,[status(thm)],[20389, 20388])).
% 7.62/5.78 tff(20391,plain,
% 7.62/5.78 (v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172))))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20390, 12869, 453])).
% 7.62/5.78 tff(20392,plain,
% 7.62/5.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))),
% 7.62/5.78 inference(rewrite,[status(thm)],[])).
% 7.62/5.78 tff(20393,plain,
% 7.62/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172)))),
% 7.62/5.78 inference(quant_inst,[status(thm)],[])).
% 7.62/5.78 tff(20394,plain,
% 7.62/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB171, constB172)) | ((~v102(constB172)) <=> v104(constB172))),
% 7.62/5.78 inference(modus_ponens,[status(thm)],[20393, 20392])).
% 7.62/5.78 tff(20395,plain,
% 7.62/5.78 ((~v102(constB172)) <=> v104(constB172)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20394, 12869, 3966])).
% 7.62/5.78 tff(20396,plain,
% 7.62/5.78 (((~![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)))),
% 7.62/5.78 inference(rewrite,[status(thm)],[])).
% 7.62/5.78 tff(20397,plain,
% 7.62/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171)))),
% 7.62/5.78 inference(quant_inst,[status(thm)],[])).
% 7.62/5.78 tff(20398,plain,
% 7.62/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v1(constB171))),
% 7.62/5.78 inference(modus_ponens,[status(thm)],[20397, 20396])).
% 7.62/5.78 tff(20399,plain,
% 7.62/5.78 (v104(constB172) <=> v1(constB171)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20398, 12869, 3980])).
% 7.62/5.78 tff(20400,plain,
% 7.62/5.78 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172)) | v1(constB171)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20401,plain,
% 7.62/5.78 ((~(v104(constB172) <=> v1(constB171))) | (~v104(constB172))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20400, 12908])).
% 7.62/5.78 tff(20402,plain,
% 7.62/5.78 (~v104(constB172)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20401, 20399])).
% 7.62/5.78 tff(20403,plain,
% 7.62/5.78 ((~((~v102(constB172)) <=> v104(constB172))) | v102(constB172) | v104(constB172)),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20404,plain,
% 7.62/5.78 (v102(constB172)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20403, 20402, 20395])).
% 7.62/5.78 tff(20405,plain,
% 7.62/5.78 (v1(constB172) <=> v1(constB172)),
% 7.62/5.78 inference(rewrite,[status(thm)],[])).
% 7.62/5.78 tff(20406,axiom,(v1(constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_172')).
% 7.62/5.78 tff(20407,plain,
% 7.62/5.78 (v1(constB172)),
% 7.62/5.78 inference(modus_ponens,[status(thm)],[20406, 20405])).
% 7.62/5.78 tff(20408,plain,
% 7.62/5.78 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v1(constB172)) | (~v102(constB172))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20409,plain,
% 7.62/5.78 ((~((~v1(constB172)) | (~v102(constB172)))) | (~v102(constB172))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20408, 20407])).
% 7.62/5.78 tff(20410,plain,
% 7.62/5.78 (~((~v1(constB172)) | (~v102(constB172)))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20409, 20404])).
% 7.62/5.78 tff(20411,plain,
% 7.62/5.78 ((~(v101(constB172) <=> (~((~v1(constB172)) | (~v102(constB172)))))) | v101(constB172) | ((~v1(constB172)) | (~v102(constB172)))),
% 7.62/5.78 inference(tautology,[status(thm)],[])).
% 7.62/5.78 tff(20412,plain,
% 7.62/5.78 (v101(constB172)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20411, 20410, 20391])).
% 7.62/5.78 tff(20413,plain,
% 7.62/5.78 (((~![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)))),
% 7.62/5.78 inference(rewrite,[status(thm)],[])).
% 7.62/5.78 tff(20414,plain,
% 7.62/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171)))),
% 7.62/5.78 inference(quant_inst,[status(thm)],[])).
% 7.62/5.78 tff(20415,plain,
% 7.62/5.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB171, constB172)) | (v110(constB172) <=> v108(constB171))),
% 7.62/5.78 inference(modus_ponens,[status(thm)],[20414, 20413])).
% 7.62/5.78 tff(20416,plain,
% 7.62/5.78 (v110(constB172) <=> v108(constB171)),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20415, 12869, 4007])).
% 7.62/5.78 tff(20417,plain,
% 7.62/5.78 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB171) <=> (v111(constB171) | v112(constB171)))),
% 7.62/5.78 inference(quant_inst,[status(thm)],[])).
% 7.62/5.78 tff(20418,plain,
% 7.62/5.78 (v108(constB171) <=> (v111(constB171) | v112(constB171))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20417, 4018])).
% 7.62/5.78 tff(20419,plain,
% 7.62/5.78 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))),
% 7.62/5.78 inference(quant_inst,[status(thm)],[])).
% 7.62/5.78 tff(20420,plain,
% 7.62/5.78 (v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171))))),
% 7.62/5.78 inference(unit_resolution,[status(thm)],[20419, 4030])).
% 7.62/5.78 tff(20421,plain,
% 7.62/5.78 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB171) <=> (v114(constB171) | v125(constB171)))),
% 7.62/5.78 inference(quant_inst,[status(thm)],[])).
% 7.62/5.78 tff(20422,plain,
% 7.62/5.79 (v113(constB171) <=> (v114(constB171) | v125(constB171))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20421, 4039])).
% 7.62/5.79 tff(20423,plain,
% 7.62/5.79 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB171) <=> (v115(constB171) | v124(constB171)))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20424,plain,
% 7.62/5.79 (v114(constB171) <=> (v115(constB171) | v124(constB171))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20423, 4048])).
% 7.62/5.79 tff(20425,plain,
% 7.62/5.79 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB171) <=> (v116(constB171) | v123(constB171)))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20426,plain,
% 7.62/5.79 (v115(constB171) <=> (v116(constB171) | v123(constB171))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20425, 4057])).
% 7.62/5.79 tff(20427,plain,
% 7.62/5.79 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB171) <=> (v117(constB171) | v122(constB171)))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20428,plain,
% 7.62/5.79 (v116(constB171) <=> (v117(constB171) | v122(constB171))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20427, 4066])).
% 7.62/5.79 tff(20429,plain,
% 7.62/5.79 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB171) <=> (v118(constB171) | v121(constB171)))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20430,plain,
% 7.62/5.79 (v117(constB171) <=> (v118(constB171) | v121(constB171))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20429, 4075])).
% 7.62/5.79 tff(20431,plain,
% 7.62/5.79 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB171) <=> (v119(constB171) | v120(constB171)))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20432,plain,
% 7.62/5.79 (v118(constB171) <=> (v119(constB171) | v120(constB171))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20431, 4084])).
% 7.62/5.79 tff(20433,plain,
% 7.62/5.79 ((v119(constB171) | v120(constB171)) | (~v120(constB171))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20434,plain,
% 7.62/5.79 (v119(constB171) | v120(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20433, 20366])).
% 7.62/5.79 tff(20435,plain,
% 7.62/5.79 ((~(v118(constB171) <=> (v119(constB171) | v120(constB171)))) | v118(constB171) | (~(v119(constB171) | v120(constB171)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20436,plain,
% 7.62/5.79 (v118(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20435, 20434, 20432])).
% 7.62/5.79 tff(20437,plain,
% 7.62/5.79 ((v118(constB171) | v121(constB171)) | (~v118(constB171))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20438,plain,
% 7.62/5.79 (v118(constB171) | v121(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20437, 20436])).
% 7.62/5.79 tff(20439,plain,
% 7.62/5.79 ((~(v117(constB171) <=> (v118(constB171) | v121(constB171)))) | v117(constB171) | (~(v118(constB171) | v121(constB171)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20440,plain,
% 7.62/5.79 (v117(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20439, 20438, 20430])).
% 7.62/5.79 tff(20441,plain,
% 7.62/5.79 ((v117(constB171) | v122(constB171)) | (~v117(constB171))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20442,plain,
% 7.62/5.79 (v117(constB171) | v122(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20441, 20440])).
% 7.62/5.79 tff(20443,plain,
% 7.62/5.79 ((~(v116(constB171) <=> (v117(constB171) | v122(constB171)))) | v116(constB171) | (~(v117(constB171) | v122(constB171)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20444,plain,
% 7.62/5.79 (v116(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20443, 20442, 20428])).
% 7.62/5.79 tff(20445,plain,
% 7.62/5.79 ((v116(constB171) | v123(constB171)) | (~v116(constB171))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20446,plain,
% 7.62/5.79 (v116(constB171) | v123(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20445, 20444])).
% 7.62/5.79 tff(20447,plain,
% 7.62/5.79 ((~(v115(constB171) <=> (v116(constB171) | v123(constB171)))) | v115(constB171) | (~(v116(constB171) | v123(constB171)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20448,plain,
% 7.62/5.79 (v115(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20447, 20446, 20426])).
% 7.62/5.79 tff(20449,plain,
% 7.62/5.79 ((v115(constB171) | v124(constB171)) | (~v115(constB171))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20450,plain,
% 7.62/5.79 (v115(constB171) | v124(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20449, 20448])).
% 7.62/5.79 tff(20451,plain,
% 7.62/5.79 ((~(v114(constB171) <=> (v115(constB171) | v124(constB171)))) | v114(constB171) | (~(v115(constB171) | v124(constB171)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20452,plain,
% 7.62/5.79 (v114(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20451, 20450, 20424])).
% 7.62/5.79 tff(20453,plain,
% 7.62/5.79 ((v114(constB171) | v125(constB171)) | (~v114(constB171))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20454,plain,
% 7.62/5.79 (v114(constB171) | v125(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20453, 20452])).
% 7.62/5.79 tff(20455,plain,
% 7.62/5.79 ((~(v113(constB171) <=> (v114(constB171) | v125(constB171)))) | v113(constB171) | (~(v114(constB171) | v125(constB171)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20456,plain,
% 7.62/5.79 (v113(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20455, 20454, 20422])).
% 7.62/5.79 tff(20457,plain,
% 7.62/5.79 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB171)) <=> v111(constB171))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20458,plain,
% 7.62/5.79 ((~v126(constB171)) <=> v111(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20457, 4118])).
% 7.62/5.79 tff(20459,plain,
% 7.62/5.79 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171) | v111(constB171)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20460,plain,
% 7.62/5.79 ((~((~v126(constB171)) <=> v111(constB171))) | v126(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20459, 12882])).
% 7.62/5.79 tff(20461,plain,
% 7.62/5.79 (v126(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20460, 20458])).
% 7.62/5.79 tff(20462,plain,
% 7.62/5.79 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171)) | (~v126(constB171))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20463,plain,
% 7.62/5.79 ((~((~v113(constB171)) | (~v126(constB171)))) | (~v113(constB171))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20462, 20461])).
% 7.62/5.79 tff(20464,plain,
% 7.62/5.79 (~((~v113(constB171)) | (~v126(constB171)))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20463, 20456])).
% 7.62/5.79 tff(20465,plain,
% 7.62/5.79 ((~(v112(constB171) <=> (~((~v113(constB171)) | (~v126(constB171)))))) | v112(constB171) | ((~v113(constB171)) | (~v126(constB171)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20466,plain,
% 7.62/5.79 (v112(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20465, 20464, 20420])).
% 7.62/5.79 tff(20467,plain,
% 7.62/5.79 ((v111(constB171) | v112(constB171)) | (~v112(constB171))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20468,plain,
% 7.62/5.79 (v111(constB171) | v112(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20467, 20466])).
% 7.62/5.79 tff(20469,plain,
% 7.62/5.79 ((~(v108(constB171) <=> (v111(constB171) | v112(constB171)))) | v108(constB171) | (~(v111(constB171) | v112(constB171)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20470,plain,
% 7.62/5.79 (v108(constB171)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20469, 20468, 20418])).
% 7.62/5.79 tff(20471,plain,
% 7.62/5.79 ((~(v110(constB172) <=> v108(constB171))) | v110(constB172) | (~v108(constB171))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20472,plain,
% 7.62/5.79 (v110(constB172)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20471, 20470, 20416])).
% 7.62/5.79 tff(20473,plain,
% 7.62/5.79 ((~((~v101(constB172)) | (~v110(constB172)))) | (~v101(constB172)) | (~v110(constB172))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20474,plain,
% 7.62/5.79 (~((~v101(constB172)) | (~v110(constB172)))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20473, 20472, 20412])).
% 7.62/5.79 tff(20475,plain,
% 7.62/5.79 ((~(v100(constB172) <=> (~((~v101(constB172)) | (~v110(constB172)))))) | v100(constB172) | ((~v101(constB172)) | (~v110(constB172)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20476,plain,
% 7.62/5.79 (v100(constB172)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20475, 20474, 20384])).
% 7.62/5.79 tff(20477,plain,
% 7.62/5.79 (((~![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)))))),
% 7.62/5.79 inference(rewrite,[status(thm)],[])).
% 7.62/5.79 tff(20478,plain,
% 7.62/5.79 ((~![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)))))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20479,plain,
% 7.62/5.79 ((~![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))))),
% 7.62/5.79 inference(modus_ponens,[status(thm)],[20478, 20477])).
% 7.62/5.79 tff(20480,plain,
% 7.62/5.79 ((~v100(constB172)) | (~(((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0))))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20479, 4151])).
% 7.62/5.79 tff(20481,plain,
% 7.62/5.79 (~(((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0)))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20480, 20476])).
% 7.62/5.79 tff(20482,plain,
% 7.62/5.79 ((((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0))) | (~((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20483,plain,
% 7.62/5.79 (~((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20482, 20481])).
% 7.62/5.79 tff(20484,plain,
% 7.62/5.79 (((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | (~v90(constB172, bitIndex2)) | v129(constB172, bitIndex2)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20485,plain,
% 7.62/5.79 (~v90(constB172, bitIndex2)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20484, 20483, 20380])).
% 7.62/5.79 tff(20486,plain,
% 7.62/5.79 (((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | (~v90(constB173, bitIndex2)) | v90(constB172, bitIndex2)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20487,plain,
% 7.62/5.79 (~v90(constB173, bitIndex2)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20486, 20485, 12866])).
% 7.62/5.79 tff(20488,plain,
% 7.62/5.79 ((((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))) | (~((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20489,plain,
% 7.62/5.79 (~((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20488, 12864])).
% 7.62/5.79 tff(20490,plain,
% 7.62/5.79 ((((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0))) | (~((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20491,plain,
% 7.62/5.79 (~((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20490, 12873])).
% 7.62/5.79 tff(20492,plain,
% 7.62/5.79 ((((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1))) | (~((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20493,plain,
% 7.62/5.79 (~((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20492, 12887])).
% 7.62/5.79 tff(20494,plain,
% 7.62/5.79 ((v130(constB171, bitIndex2) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex1))) | (~v130(constB171, bitIndex0))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20495,plain,
% 7.62/5.79 (~v130(constB171, bitIndex0)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20494, 20374])).
% 7.62/5.79 tff(20496,plain,
% 7.62/5.79 (((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)) | (~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20497,plain,
% 7.62/5.79 (~v127(constB171, bitIndex0)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20496, 20495, 20493])).
% 7.62/5.79 tff(20498,plain,
% 7.62/5.79 (((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0)) | (~v129(constB172, bitIndex0)) | v127(constB171, bitIndex0)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20499,plain,
% 7.62/5.79 (~v129(constB172, bitIndex0)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20498, 20497, 20491])).
% 7.62/5.79 tff(20500,plain,
% 7.62/5.79 ((((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0))) | (~((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20501,plain,
% 7.62/5.79 (~((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20500, 20481])).
% 7.62/5.79 tff(20502,plain,
% 7.62/5.79 (((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0)) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20503,plain,
% 7.62/5.79 (~v90(constB172, bitIndex0)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20502, 20501, 20499])).
% 7.62/5.79 tff(20504,plain,
% 7.62/5.79 (((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0)) | (~v90(constB173, bitIndex0)) | v90(constB172, bitIndex0)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20505,plain,
% 7.62/5.79 (~v90(constB173, bitIndex0)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20504, 20503, 20489])).
% 7.62/5.79 tff(20506,plain,
% 7.62/5.79 ((((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | ((~v90(constB173, bitIndex2)) <=> v90(constB172, bitIndex2)) | ((~v90(constB173, bitIndex0)) <=> v90(constB172, bitIndex0))) | (~((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20507,plain,
% 7.62/5.79 (~((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20506, 12864])).
% 7.62/5.79 tff(20508,plain,
% 7.62/5.79 ((((~v129(constB172, bitIndex2)) <=> v127(constB171, bitIndex2)) | ((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | ((~v129(constB172, bitIndex0)) <=> v127(constB171, bitIndex0))) | (~((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20509,plain,
% 7.62/5.79 (~((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20508, 12873])).
% 7.62/5.79 tff(20510,plain,
% 7.62/5.79 ((((~v127(constB171, bitIndex2)) <=> v130(constB171, bitIndex2)) | ((~v127(constB171, bitIndex0)) <=> v130(constB171, bitIndex0)) | ((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1))) | (~((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20511,plain,
% 7.62/5.79 (~((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20510, 12887])).
% 7.62/5.79 tff(20512,plain,
% 7.62/5.79 ((v130(constB171, bitIndex2) | v130(constB171, bitIndex0) | (~v130(constB171, bitIndex1))) | v130(constB171, bitIndex1)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20513,plain,
% 7.62/5.79 (v130(constB171, bitIndex1)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20512, 20374])).
% 7.62/5.79 tff(20514,plain,
% 7.62/5.79 (((~v127(constB171, bitIndex1)) <=> v130(constB171, bitIndex1)) | v127(constB171, bitIndex1) | (~v130(constB171, bitIndex1))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20515,plain,
% 7.62/5.79 (v127(constB171, bitIndex1)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20514, 20513, 20511])).
% 7.62/5.79 tff(20516,plain,
% 7.62/5.79 (((~v129(constB172, bitIndex1)) <=> v127(constB171, bitIndex1)) | v129(constB172, bitIndex1) | (~v127(constB171, bitIndex1))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20517,plain,
% 7.62/5.79 (v129(constB172, bitIndex1)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20516, 20515, 20509])).
% 7.62/5.79 tff(20518,plain,
% 7.62/5.79 ((((~v90(constB172, bitIndex2)) <=> v129(constB172, bitIndex2)) | ((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | ((~v90(constB172, bitIndex0)) <=> v129(constB172, bitIndex0))) | (~((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20519,plain,
% 7.62/5.79 (~((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20518, 20481])).
% 7.62/5.79 tff(20520,plain,
% 7.62/5.79 (((~v90(constB172, bitIndex1)) <=> v129(constB172, bitIndex1)) | v90(constB172, bitIndex1) | (~v129(constB172, bitIndex1))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20521,plain,
% 7.62/5.79 (v90(constB172, bitIndex1)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20520, 20519, 20517])).
% 7.62/5.79 tff(20522,plain,
% 7.62/5.79 (((~v90(constB173, bitIndex1)) <=> v90(constB172, bitIndex1)) | v90(constB173, bitIndex1) | (~v90(constB172, bitIndex1))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20523,plain,
% 7.62/5.79 (v90(constB173, bitIndex1)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20522, 20521, 20507])).
% 7.62/5.79 tff(20524,plain,
% 7.62/5.79 ((~(v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)))) | v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20525,plain,
% 7.62/5.79 (~(v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20524, 20523, 20505, 20487])).
% 7.62/5.79 tff(20526,plain,
% 7.62/5.79 ((~(v121(constB173) <=> (~(v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)))))) | v121(constB173) | (v90(constB173, bitIndex2) | v90(constB173, bitIndex0) | (~v90(constB173, bitIndex1)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20527,plain,
% 7.62/5.79 (v121(constB173)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20526, 20525, 12830])).
% 7.62/5.79 tff(20528,plain,
% 7.62/5.79 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB173)) | (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex0)) | (~v130(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB173)) | (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex0)) | (~v130(constB173, bitIndex1)))))),
% 7.62/5.79 inference(rewrite,[status(thm)],[])).
% 7.62/5.79 tff(20529,plain,
% 7.62/5.79 (((~v121(constB173)) | (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex1)) | (~v130(constB173, bitIndex0))))) <=> ((~v121(constB173)) | (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex0)) | (~v130(constB173, bitIndex1)))))),
% 7.62/5.79 inference(rewrite,[status(thm)],[])).
% 7.62/5.79 tff(20530,plain,
% 7.62/5.79 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB173)) | (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex1)) | (~v130(constB173, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB173)) | (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex0)) | (~v130(constB173, bitIndex1))))))),
% 7.62/5.79 inference(monotonicity,[status(thm)],[20529])).
% 7.62/5.79 tff(20531,plain,
% 7.62/5.79 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB173)) | (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex1)) | (~v130(constB173, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB173)) | (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex0)) | (~v130(constB173, bitIndex1)))))),
% 7.62/5.79 inference(transitivity,[status(thm)],[20530, 20528])).
% 7.62/5.79 tff(20532,plain,
% 7.62/5.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB173)) | (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex1)) | (~v130(constB173, bitIndex0)))))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20533,plain,
% 7.62/5.79 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB173)) | (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex0)) | (~v130(constB173, bitIndex1))))),
% 7.62/5.79 inference(modus_ponens,[status(thm)],[20532, 20531])).
% 7.62/5.79 tff(20534,plain,
% 7.62/5.79 ((~v121(constB173)) | (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex0)) | (~v130(constB173, bitIndex1))))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20533, 4392])).
% 7.62/5.79 tff(20535,plain,
% 7.62/5.79 (~(v130(constB173, bitIndex2) | (~v130(constB173, bitIndex0)) | (~v130(constB173, bitIndex1)))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20534, 20527])).
% 7.62/5.79 tff(20536,plain,
% 7.62/5.79 ((v130(constB173, bitIndex2) | (~v130(constB173, bitIndex0)) | (~v130(constB173, bitIndex1))) | (~v130(constB173, bitIndex2))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20537,plain,
% 7.62/5.79 (~v130(constB173, bitIndex2)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20536, 20535])).
% 7.62/5.79 tff(20538,plain,
% 7.62/5.79 (((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | (~v127(constB173, bitIndex2)) | v130(constB173, bitIndex2)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20539,plain,
% 7.62/5.79 (~v127(constB173, bitIndex2)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20538, 20537, 12823])).
% 7.62/5.79 tff(20540,plain,
% 7.62/5.79 (((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | (~v129(constB174, bitIndex2)) | v127(constB173, bitIndex2)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20541,plain,
% 7.62/5.79 (~v129(constB174, bitIndex2)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20540, 20539, 12809])).
% 7.62/5.79 tff(20542,plain,
% 7.62/5.79 (((~![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))))))),
% 7.62/5.79 inference(rewrite,[status(thm)],[])).
% 7.62/5.79 tff(20543,plain,
% 7.62/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20544,plain,
% 7.62/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB173, constB174)) | (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))),
% 7.62/5.79 inference(modus_ponens,[status(thm)],[20543, 20542])).
% 7.62/5.79 tff(20545,plain,
% 7.62/5.79 (v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174))))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20544, 12803, 433])).
% 7.62/5.79 tff(20546,plain,
% 7.62/5.79 (((~![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))))))),
% 7.62/5.79 inference(rewrite,[status(thm)],[])).
% 7.62/5.79 tff(20547,plain,
% 7.62/5.79 (((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174)))))) <=> ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 7.62/5.79 inference(rewrite,[status(thm)],[])).
% 7.62/5.79 tff(20548,plain,
% 7.62/5.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))))),
% 7.62/5.79 inference(monotonicity,[status(thm)],[20547])).
% 7.62/5.79 tff(20549,plain,
% 7.62/5.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))))),
% 7.62/5.79 inference(transitivity,[status(thm)],[20548, 20546])).
% 7.62/5.79 tff(20550,plain,
% 7.62/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v102(constB174)) | (~v1(constB174))))))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20551,plain,
% 7.62/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))),
% 7.62/5.79 inference(modus_ponens,[status(thm)],[20550, 20549])).
% 7.62/5.79 tff(20552,plain,
% 7.62/5.79 (v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174))))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20551, 12803, 453])).
% 7.62/5.79 tff(20553,plain,
% 7.62/5.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))),
% 7.62/5.79 inference(rewrite,[status(thm)],[])).
% 7.62/5.79 tff(20554,plain,
% 7.62/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174)))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20555,plain,
% 7.62/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB173, constB174)) | ((~v102(constB174)) <=> v104(constB174))),
% 7.62/5.79 inference(modus_ponens,[status(thm)],[20554, 20553])).
% 7.62/5.79 tff(20556,plain,
% 7.62/5.79 ((~v102(constB174)) <=> v104(constB174)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20555, 12803, 3966])).
% 7.62/5.79 tff(20557,plain,
% 7.62/5.79 (((~![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)))),
% 7.62/5.79 inference(rewrite,[status(thm)],[])).
% 7.62/5.79 tff(20558,plain,
% 7.62/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173)))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20559,plain,
% 7.62/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v1(constB173))),
% 7.62/5.79 inference(modus_ponens,[status(thm)],[20558, 20557])).
% 7.62/5.79 tff(20560,plain,
% 7.62/5.79 (v104(constB174) <=> v1(constB173)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20559, 12803, 3980])).
% 7.62/5.79 tff(20561,plain,
% 7.62/5.79 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174)) | v1(constB173)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20562,plain,
% 7.62/5.79 ((~(v104(constB174) <=> v1(constB173))) | (~v104(constB174))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20561, 12847])).
% 7.62/5.79 tff(20563,plain,
% 7.62/5.79 (~v104(constB174)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20562, 20560])).
% 7.62/5.79 tff(20564,plain,
% 7.62/5.79 ((~((~v102(constB174)) <=> v104(constB174))) | v102(constB174) | v104(constB174)),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20565,plain,
% 7.62/5.79 (v102(constB174)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20564, 20563, 20556])).
% 7.62/5.79 tff(20566,plain,
% 7.62/5.79 (v1(constB174) <=> v1(constB174)),
% 7.62/5.79 inference(rewrite,[status(thm)],[])).
% 7.62/5.79 tff(20567,axiom,(v1(constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_174')).
% 7.62/5.79 tff(20568,plain,
% 7.62/5.79 (v1(constB174)),
% 7.62/5.79 inference(modus_ponens,[status(thm)],[20567, 20566])).
% 7.62/5.79 tff(20569,plain,
% 7.62/5.79 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v1(constB174)) | (~v102(constB174))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20570,plain,
% 7.62/5.79 ((~((~v1(constB174)) | (~v102(constB174)))) | (~v102(constB174))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20569, 20568])).
% 7.62/5.79 tff(20571,plain,
% 7.62/5.79 (~((~v1(constB174)) | (~v102(constB174)))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20570, 20565])).
% 7.62/5.79 tff(20572,plain,
% 7.62/5.79 ((~(v101(constB174) <=> (~((~v1(constB174)) | (~v102(constB174)))))) | v101(constB174) | ((~v1(constB174)) | (~v102(constB174)))),
% 7.62/5.79 inference(tautology,[status(thm)],[])).
% 7.62/5.79 tff(20573,plain,
% 7.62/5.79 (v101(constB174)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20572, 20571, 20552])).
% 7.62/5.79 tff(20574,plain,
% 7.62/5.79 (((~![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)))),
% 7.62/5.79 inference(rewrite,[status(thm)],[])).
% 7.62/5.79 tff(20575,plain,
% 7.62/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173)))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20576,plain,
% 7.62/5.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB173, constB174)) | (v110(constB174) <=> v108(constB173))),
% 7.62/5.79 inference(modus_ponens,[status(thm)],[20575, 20574])).
% 7.62/5.79 tff(20577,plain,
% 7.62/5.79 (v110(constB174) <=> v108(constB173)),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20576, 12803, 4007])).
% 7.62/5.79 tff(20578,plain,
% 7.62/5.79 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB173) <=> (v111(constB173) | v112(constB173)))),
% 7.62/5.79 inference(quant_inst,[status(thm)],[])).
% 7.62/5.79 tff(20579,plain,
% 7.62/5.79 (v108(constB173) <=> (v111(constB173) | v112(constB173))),
% 7.62/5.79 inference(unit_resolution,[status(thm)],[20578, 4018])).
% 7.62/5.79 tff(20580,plain,
% 7.62/5.79 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))),
% 7.68/5.79 inference(quant_inst,[status(thm)],[])).
% 7.68/5.79 tff(20581,plain,
% 7.68/5.79 (v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173))))),
% 7.68/5.79 inference(unit_resolution,[status(thm)],[20580, 4030])).
% 7.68/5.79 tff(20582,plain,
% 7.68/5.79 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB173) <=> (v114(constB173) | v125(constB173)))),
% 7.68/5.79 inference(quant_inst,[status(thm)],[])).
% 7.68/5.79 tff(20583,plain,
% 7.68/5.79 (v113(constB173) <=> (v114(constB173) | v125(constB173))),
% 7.68/5.79 inference(unit_resolution,[status(thm)],[20582, 4039])).
% 7.68/5.79 tff(20584,plain,
% 7.68/5.79 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB173) <=> (v115(constB173) | v124(constB173)))),
% 7.68/5.79 inference(quant_inst,[status(thm)],[])).
% 7.68/5.79 tff(20585,plain,
% 7.68/5.79 (v114(constB173) <=> (v115(constB173) | v124(constB173))),
% 7.68/5.79 inference(unit_resolution,[status(thm)],[20584, 4048])).
% 7.68/5.79 tff(20586,plain,
% 7.68/5.79 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB173) <=> (v116(constB173) | v123(constB173)))),
% 7.68/5.79 inference(quant_inst,[status(thm)],[])).
% 7.68/5.79 tff(20587,plain,
% 7.68/5.79 (v115(constB173) <=> (v116(constB173) | v123(constB173))),
% 7.68/5.79 inference(unit_resolution,[status(thm)],[20586, 4057])).
% 7.68/5.79 tff(20588,plain,
% 7.68/5.79 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB173) <=> (v117(constB173) | v122(constB173)))),
% 7.68/5.79 inference(quant_inst,[status(thm)],[])).
% 7.68/5.79 tff(20589,plain,
% 7.68/5.79 (v116(constB173) <=> (v117(constB173) | v122(constB173))),
% 7.68/5.79 inference(unit_resolution,[status(thm)],[20588, 4066])).
% 7.68/5.79 tff(20590,plain,
% 7.68/5.79 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB173) <=> (v118(constB173) | v121(constB173)))),
% 7.68/5.79 inference(quant_inst,[status(thm)],[])).
% 7.68/5.79 tff(20591,plain,
% 7.68/5.79 (v117(constB173) <=> (v118(constB173) | v121(constB173))),
% 7.68/5.79 inference(unit_resolution,[status(thm)],[20590, 4075])).
% 7.68/5.79 tff(20592,plain,
% 7.68/5.79 ((v118(constB173) | v121(constB173)) | (~v121(constB173))),
% 7.68/5.79 inference(tautology,[status(thm)],[])).
% 7.68/5.79 tff(20593,plain,
% 7.68/5.79 (v118(constB173) | v121(constB173)),
% 7.68/5.79 inference(unit_resolution,[status(thm)],[20592, 20527])).
% 7.68/5.79 tff(20594,plain,
% 7.68/5.79 ((~(v117(constB173) <=> (v118(constB173) | v121(constB173)))) | v117(constB173) | (~(v118(constB173) | v121(constB173)))),
% 7.68/5.79 inference(tautology,[status(thm)],[])).
% 7.68/5.79 tff(20595,plain,
% 7.68/5.79 (v117(constB173)),
% 7.68/5.79 inference(unit_resolution,[status(thm)],[20594, 20593, 20591])).
% 7.68/5.79 tff(20596,plain,
% 7.68/5.79 ((v117(constB173) | v122(constB173)) | (~v117(constB173))),
% 7.68/5.79 inference(tautology,[status(thm)],[])).
% 7.68/5.79 tff(20597,plain,
% 7.68/5.79 (v117(constB173) | v122(constB173)),
% 7.68/5.79 inference(unit_resolution,[status(thm)],[20596, 20595])).
% 7.68/5.79 tff(20598,plain,
% 7.68/5.79 ((~(v116(constB173) <=> (v117(constB173) | v122(constB173)))) | v116(constB173) | (~(v117(constB173) | v122(constB173)))),
% 7.68/5.79 inference(tautology,[status(thm)],[])).
% 7.68/5.79 tff(20599,plain,
% 7.68/5.79 (v116(constB173)),
% 7.68/5.79 inference(unit_resolution,[status(thm)],[20598, 20597, 20589])).
% 7.68/5.79 tff(20600,plain,
% 7.68/5.79 ((v116(constB173) | v123(constB173)) | (~v116(constB173))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20601,plain,
% 7.68/5.80 (v116(constB173) | v123(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20600, 20599])).
% 7.68/5.80 tff(20602,plain,
% 7.68/5.80 ((~(v115(constB173) <=> (v116(constB173) | v123(constB173)))) | v115(constB173) | (~(v116(constB173) | v123(constB173)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20603,plain,
% 7.68/5.80 (v115(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20602, 20601, 20587])).
% 7.68/5.80 tff(20604,plain,
% 7.68/5.80 ((v115(constB173) | v124(constB173)) | (~v115(constB173))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20605,plain,
% 7.68/5.80 (v115(constB173) | v124(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20604, 20603])).
% 7.68/5.80 tff(20606,plain,
% 7.68/5.80 ((~(v114(constB173) <=> (v115(constB173) | v124(constB173)))) | v114(constB173) | (~(v115(constB173) | v124(constB173)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20607,plain,
% 7.68/5.80 (v114(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20606, 20605, 20585])).
% 7.68/5.80 tff(20608,plain,
% 7.68/5.80 ((v114(constB173) | v125(constB173)) | (~v114(constB173))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20609,plain,
% 7.68/5.80 (v114(constB173) | v125(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20608, 20607])).
% 7.68/5.80 tff(20610,plain,
% 7.68/5.80 ((~(v113(constB173) <=> (v114(constB173) | v125(constB173)))) | v113(constB173) | (~(v114(constB173) | v125(constB173)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20611,plain,
% 7.68/5.80 (v113(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20610, 20609, 20583])).
% 7.68/5.80 tff(20612,plain,
% 7.68/5.80 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB173)) <=> v111(constB173))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20613,plain,
% 7.68/5.80 ((~v126(constB173)) <=> v111(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20612, 4118])).
% 7.68/5.80 tff(20614,plain,
% 7.68/5.80 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173) | v111(constB173)),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20615,plain,
% 7.68/5.80 ((~((~v126(constB173)) <=> v111(constB173))) | v126(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20614, 12816])).
% 7.68/5.80 tff(20616,plain,
% 7.68/5.80 (v126(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20615, 20613])).
% 7.68/5.80 tff(20617,plain,
% 7.68/5.80 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173)) | (~v126(constB173))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20618,plain,
% 7.68/5.80 ((~((~v113(constB173)) | (~v126(constB173)))) | (~v113(constB173))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20617, 20616])).
% 7.68/5.80 tff(20619,plain,
% 7.68/5.80 (~((~v113(constB173)) | (~v126(constB173)))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20618, 20611])).
% 7.68/5.80 tff(20620,plain,
% 7.68/5.80 ((~(v112(constB173) <=> (~((~v113(constB173)) | (~v126(constB173)))))) | v112(constB173) | ((~v113(constB173)) | (~v126(constB173)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20621,plain,
% 7.68/5.80 (v112(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20620, 20619, 20581])).
% 7.68/5.80 tff(20622,plain,
% 7.68/5.80 ((v111(constB173) | v112(constB173)) | (~v112(constB173))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20623,plain,
% 7.68/5.80 (v111(constB173) | v112(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20622, 20621])).
% 7.68/5.80 tff(20624,plain,
% 7.68/5.80 ((~(v108(constB173) <=> (v111(constB173) | v112(constB173)))) | v108(constB173) | (~(v111(constB173) | v112(constB173)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20625,plain,
% 7.68/5.80 (v108(constB173)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20624, 20623, 20579])).
% 7.68/5.80 tff(20626,plain,
% 7.68/5.80 ((~(v110(constB174) <=> v108(constB173))) | v110(constB174) | (~v108(constB173))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20627,plain,
% 7.68/5.80 (v110(constB174)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20626, 20625, 20577])).
% 7.68/5.80 tff(20628,plain,
% 7.68/5.80 ((~((~v101(constB174)) | (~v110(constB174)))) | (~v101(constB174)) | (~v110(constB174))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20629,plain,
% 7.68/5.80 (~((~v101(constB174)) | (~v110(constB174)))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20628, 20627, 20573])).
% 7.68/5.80 tff(20630,plain,
% 7.68/5.80 ((~(v100(constB174) <=> (~((~v101(constB174)) | (~v110(constB174)))))) | v100(constB174) | ((~v101(constB174)) | (~v110(constB174)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20631,plain,
% 7.68/5.80 (v100(constB174)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20630, 20629, 20545])).
% 7.68/5.80 tff(20632,plain,
% 7.68/5.80 (((~![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)))))),
% 7.68/5.80 inference(rewrite,[status(thm)],[])).
% 7.68/5.80 tff(20633,plain,
% 7.68/5.80 (((~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)))))),
% 7.68/5.80 inference(rewrite,[status(thm)],[])).
% 7.68/5.80 tff(20634,plain,
% 7.68/5.80 (((~![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))))))),
% 7.68/5.80 inference(monotonicity,[status(thm)],[20633])).
% 7.68/5.80 tff(20635,plain,
% 7.68/5.80 (((~![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)))))),
% 7.68/5.80 inference(transitivity,[status(thm)],[20634, 20632])).
% 7.68/5.80 tff(20636,plain,
% 7.68/5.80 ((~![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)))))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20637,plain,
% 7.68/5.80 ((~![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))))),
% 7.68/5.80 inference(modus_ponens,[status(thm)],[20636, 20635])).
% 7.68/5.80 tff(20638,plain,
% 7.68/5.80 ((~v100(constB174)) | (~(((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20637, 4151])).
% 7.68/5.80 tff(20639,plain,
% 7.68/5.80 (~(((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20638, 20631])).
% 7.68/5.80 tff(20640,plain,
% 7.68/5.80 ((((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))) | (~((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20641,plain,
% 7.68/5.80 (~((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20640, 20639])).
% 7.68/5.80 tff(20642,plain,
% 7.68/5.80 (((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | (~v90(constB174, bitIndex2)) | v129(constB174, bitIndex2)),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20643,plain,
% 7.68/5.80 (~v90(constB174, bitIndex2)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20642, 20641, 20541])).
% 7.68/5.80 tff(20644,plain,
% 7.68/5.80 (((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | (~v90(constB175, bitIndex2)) | v90(constB174, bitIndex2)),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20645,plain,
% 7.68/5.80 (~v90(constB175, bitIndex2)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20644, 20643, 12800])).
% 7.68/5.80 tff(20646,plain,
% 7.68/5.80 ((((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))) | (~((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20647,plain,
% 7.68/5.80 (~((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20646, 12798])).
% 7.68/5.80 tff(20648,plain,
% 7.68/5.80 ((((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0))) | (~((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20649,plain,
% 7.68/5.80 (~((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20648, 12807])).
% 7.68/5.80 tff(20650,plain,
% 7.68/5.80 ((((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1))) | (~((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20651,plain,
% 7.68/5.80 (~((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20650, 12821])).
% 7.68/5.80 tff(20652,plain,
% 7.68/5.80 ((v130(constB173, bitIndex2) | (~v130(constB173, bitIndex0)) | (~v130(constB173, bitIndex1))) | v130(constB173, bitIndex0)),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20653,plain,
% 7.68/5.80 (v130(constB173, bitIndex0)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20652, 20535])).
% 7.68/5.80 tff(20654,plain,
% 7.68/5.80 (((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)) | v127(constB173, bitIndex0) | (~v130(constB173, bitIndex0))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20655,plain,
% 7.68/5.80 (v127(constB173, bitIndex0)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20654, 20653, 20651])).
% 7.68/5.80 tff(20656,plain,
% 7.68/5.80 (((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0)) | v129(constB174, bitIndex0) | (~v127(constB173, bitIndex0))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20657,plain,
% 7.68/5.80 (v129(constB174, bitIndex0)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20656, 20655, 20649])).
% 7.68/5.80 tff(20658,plain,
% 7.68/5.80 ((((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))) | (~((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20659,plain,
% 7.68/5.80 (~((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20658, 20639])).
% 7.68/5.80 tff(20660,plain,
% 7.68/5.80 (((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | v90(constB174, bitIndex0) | (~v129(constB174, bitIndex0))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20661,plain,
% 7.68/5.80 (v90(constB174, bitIndex0)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20660, 20659, 20657])).
% 7.68/5.80 tff(20662,plain,
% 7.68/5.80 (((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0)) | v90(constB175, bitIndex0) | (~v90(constB174, bitIndex0))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20663,plain,
% 7.68/5.80 (v90(constB175, bitIndex0)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20662, 20661, 20647])).
% 7.68/5.80 tff(20664,plain,
% 7.68/5.80 ((((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | ((~v90(constB175, bitIndex2)) <=> v90(constB174, bitIndex2)) | ((~v90(constB175, bitIndex0)) <=> v90(constB174, bitIndex0))) | (~((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20665,plain,
% 7.68/5.80 (~((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20664, 12798])).
% 7.68/5.80 tff(20666,plain,
% 7.68/5.80 ((((~v129(constB174, bitIndex2)) <=> v127(constB173, bitIndex2)) | ((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | ((~v129(constB174, bitIndex0)) <=> v127(constB173, bitIndex0))) | (~((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20667,plain,
% 7.68/5.80 (~((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20666, 12807])).
% 7.68/5.80 tff(20668,plain,
% 7.68/5.80 ((((~v127(constB173, bitIndex2)) <=> v130(constB173, bitIndex2)) | ((~v127(constB173, bitIndex0)) <=> v130(constB173, bitIndex0)) | ((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1))) | (~((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20669,plain,
% 7.68/5.80 (~((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20668, 12821])).
% 7.68/5.80 tff(20670,plain,
% 7.68/5.80 ((v130(constB173, bitIndex2) | (~v130(constB173, bitIndex0)) | (~v130(constB173, bitIndex1))) | v130(constB173, bitIndex1)),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20671,plain,
% 7.68/5.80 (v130(constB173, bitIndex1)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20670, 20535])).
% 7.68/5.80 tff(20672,plain,
% 7.68/5.80 (((~v127(constB173, bitIndex1)) <=> v130(constB173, bitIndex1)) | v127(constB173, bitIndex1) | (~v130(constB173, bitIndex1))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20673,plain,
% 7.68/5.80 (v127(constB173, bitIndex1)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20672, 20671, 20669])).
% 7.68/5.80 tff(20674,plain,
% 7.68/5.80 (((~v129(constB174, bitIndex1)) <=> v127(constB173, bitIndex1)) | v129(constB174, bitIndex1) | (~v127(constB173, bitIndex1))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20675,plain,
% 7.68/5.80 (v129(constB174, bitIndex1)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20674, 20673, 20667])).
% 7.68/5.80 tff(20676,plain,
% 7.68/5.80 ((((~v90(constB174, bitIndex0)) <=> v129(constB174, bitIndex0)) | ((~v90(constB174, bitIndex2)) <=> v129(constB174, bitIndex2)) | ((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))) | (~((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20677,plain,
% 7.68/5.80 (~((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20676, 20639])).
% 7.68/5.80 tff(20678,plain,
% 7.68/5.80 (((~v90(constB174, bitIndex1)) <=> v129(constB174, bitIndex1)) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20679,plain,
% 7.68/5.80 (v90(constB174, bitIndex1)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20678, 20677, 20675])).
% 7.68/5.80 tff(20680,plain,
% 7.68/5.80 (((~v90(constB175, bitIndex1)) <=> v90(constB174, bitIndex1)) | v90(constB175, bitIndex1) | (~v90(constB174, bitIndex1))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20681,plain,
% 7.68/5.80 (v90(constB175, bitIndex1)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20680, 20679, 20665])).
% 7.68/5.80 tff(20682,plain,
% 7.68/5.80 ((~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))) | v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20683,plain,
% 7.68/5.80 (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20682, 20681, 20663, 20645])).
% 7.68/5.80 tff(20684,plain,
% 7.68/5.80 ((~(v122(constB175) <=> (~(v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))))) | v122(constB175) | (v90(constB175, bitIndex2) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex0)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20685,plain,
% 7.68/5.80 (v122(constB175)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20684, 20683, 12764])).
% 7.68/5.80 tff(20686,plain,
% 7.68/5.80 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB175)) | (~(v130(constB175, bitIndex0) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB175)) | (~(v130(constB175, bitIndex0) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex2)))))),
% 7.68/5.80 inference(rewrite,[status(thm)],[])).
% 7.68/5.80 tff(20687,plain,
% 7.68/5.80 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB175)) | (~(v130(constB175, bitIndex0) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex2)))))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20688,plain,
% 7.68/5.80 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB175)) | (~(v130(constB175, bitIndex0) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex2))))),
% 7.68/5.80 inference(modus_ponens,[status(thm)],[20687, 20686])).
% 7.68/5.80 tff(20689,plain,
% 7.68/5.80 ((~v122(constB175)) | (~(v130(constB175, bitIndex0) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex2))))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20688, 4563])).
% 7.68/5.80 tff(20690,plain,
% 7.68/5.80 (~(v130(constB175, bitIndex0) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex2)))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20689, 20685])).
% 7.68/5.80 tff(20691,plain,
% 7.68/5.80 ((v130(constB175, bitIndex0) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex2))) | v130(constB175, bitIndex2)),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20692,plain,
% 7.68/5.80 (v130(constB175, bitIndex2)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20691, 20690])).
% 7.68/5.80 tff(20693,plain,
% 7.68/5.80 (((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | v127(constB175, bitIndex2) | (~v130(constB175, bitIndex2))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20694,plain,
% 7.68/5.80 (v127(constB175, bitIndex2)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20693, 20692, 12757])).
% 7.68/5.80 tff(20695,plain,
% 7.68/5.80 (((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | v129(constB176, bitIndex2) | (~v127(constB175, bitIndex2))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20696,plain,
% 7.68/5.80 (v129(constB176, bitIndex2)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20695, 20694, 12743])).
% 7.68/5.80 tff(20697,plain,
% 7.68/5.80 (((~![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))))))),
% 7.68/5.80 inference(rewrite,[status(thm)],[])).
% 7.68/5.80 tff(20698,plain,
% 7.68/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20699,plain,
% 7.68/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB175, constB176)) | (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))),
% 7.68/5.80 inference(modus_ponens,[status(thm)],[20698, 20697])).
% 7.68/5.80 tff(20700,plain,
% 7.68/5.80 (v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176))))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20699, 12737, 433])).
% 7.68/5.80 tff(20701,plain,
% 7.68/5.80 (((~![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))))))),
% 7.68/5.80 inference(rewrite,[status(thm)],[])).
% 7.68/5.80 tff(20702,plain,
% 7.68/5.80 (((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176)))))) <=> ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 7.68/5.80 inference(rewrite,[status(thm)],[])).
% 7.68/5.80 tff(20703,plain,
% 7.68/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))))),
% 7.68/5.80 inference(monotonicity,[status(thm)],[20702])).
% 7.68/5.80 tff(20704,plain,
% 7.68/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))))),
% 7.68/5.80 inference(transitivity,[status(thm)],[20703, 20701])).
% 7.68/5.80 tff(20705,plain,
% 7.68/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v102(constB176)) | (~v1(constB176))))))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20706,plain,
% 7.68/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))),
% 7.68/5.80 inference(modus_ponens,[status(thm)],[20705, 20704])).
% 7.68/5.80 tff(20707,plain,
% 7.68/5.80 (v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176))))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20706, 12737, 453])).
% 7.68/5.80 tff(20708,plain,
% 7.68/5.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))),
% 7.68/5.80 inference(rewrite,[status(thm)],[])).
% 7.68/5.80 tff(20709,plain,
% 7.68/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176)))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20710,plain,
% 7.68/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB175, constB176)) | ((~v102(constB176)) <=> v104(constB176))),
% 7.68/5.80 inference(modus_ponens,[status(thm)],[20709, 20708])).
% 7.68/5.80 tff(20711,plain,
% 7.68/5.80 ((~v102(constB176)) <=> v104(constB176)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20710, 12737, 3966])).
% 7.68/5.80 tff(20712,plain,
% 7.68/5.80 (((~![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)))),
% 7.68/5.80 inference(rewrite,[status(thm)],[])).
% 7.68/5.80 tff(20713,plain,
% 7.68/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175)))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20714,plain,
% 7.68/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v1(constB175))),
% 7.68/5.80 inference(modus_ponens,[status(thm)],[20713, 20712])).
% 7.68/5.80 tff(20715,plain,
% 7.68/5.80 (v104(constB176) <=> v1(constB175)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20714, 12737, 3980])).
% 7.68/5.80 tff(20716,plain,
% 7.68/5.80 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176)) | v1(constB175)),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20717,plain,
% 7.68/5.80 ((~(v104(constB176) <=> v1(constB175))) | (~v104(constB176))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20716, 12781])).
% 7.68/5.80 tff(20718,plain,
% 7.68/5.80 (~v104(constB176)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20717, 20715])).
% 7.68/5.80 tff(20719,plain,
% 7.68/5.80 ((~((~v102(constB176)) <=> v104(constB176))) | v102(constB176) | v104(constB176)),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20720,plain,
% 7.68/5.80 (v102(constB176)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20719, 20718, 20711])).
% 7.68/5.80 tff(20721,plain,
% 7.68/5.80 (v1(constB176) <=> v1(constB176)),
% 7.68/5.80 inference(rewrite,[status(thm)],[])).
% 7.68/5.80 tff(20722,axiom,(v1(constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_176')).
% 7.68/5.80 tff(20723,plain,
% 7.68/5.80 (v1(constB176)),
% 7.68/5.80 inference(modus_ponens,[status(thm)],[20722, 20721])).
% 7.68/5.80 tff(20724,plain,
% 7.68/5.80 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v1(constB176)) | (~v102(constB176))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20725,plain,
% 7.68/5.80 ((~((~v1(constB176)) | (~v102(constB176)))) | (~v102(constB176))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20724, 20723])).
% 7.68/5.80 tff(20726,plain,
% 7.68/5.80 (~((~v1(constB176)) | (~v102(constB176)))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20725, 20720])).
% 7.68/5.80 tff(20727,plain,
% 7.68/5.80 ((~(v101(constB176) <=> (~((~v1(constB176)) | (~v102(constB176)))))) | v101(constB176) | ((~v1(constB176)) | (~v102(constB176)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20728,plain,
% 7.68/5.80 (v101(constB176)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20727, 20726, 20707])).
% 7.68/5.80 tff(20729,plain,
% 7.68/5.80 (((~![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)))),
% 7.68/5.80 inference(rewrite,[status(thm)],[])).
% 7.68/5.80 tff(20730,plain,
% 7.68/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175)))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20731,plain,
% 7.68/5.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB175, constB176)) | (v110(constB176) <=> v108(constB175))),
% 7.68/5.80 inference(modus_ponens,[status(thm)],[20730, 20729])).
% 7.68/5.80 tff(20732,plain,
% 7.68/5.80 (v110(constB176) <=> v108(constB175)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20731, 12737, 4007])).
% 7.68/5.80 tff(20733,plain,
% 7.68/5.80 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB175) <=> (v111(constB175) | v112(constB175)))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20734,plain,
% 7.68/5.80 (v108(constB175) <=> (v111(constB175) | v112(constB175))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20733, 4018])).
% 7.68/5.80 tff(20735,plain,
% 7.68/5.80 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20736,plain,
% 7.68/5.80 (v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175))))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20735, 4030])).
% 7.68/5.80 tff(20737,plain,
% 7.68/5.80 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB175) <=> (v114(constB175) | v125(constB175)))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20738,plain,
% 7.68/5.80 (v113(constB175) <=> (v114(constB175) | v125(constB175))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20737, 4039])).
% 7.68/5.80 tff(20739,plain,
% 7.68/5.80 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB175) <=> (v115(constB175) | v124(constB175)))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20740,plain,
% 7.68/5.80 (v114(constB175) <=> (v115(constB175) | v124(constB175))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20739, 4048])).
% 7.68/5.80 tff(20741,plain,
% 7.68/5.80 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB175) <=> (v116(constB175) | v123(constB175)))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20742,plain,
% 7.68/5.80 (v115(constB175) <=> (v116(constB175) | v123(constB175))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20741, 4057])).
% 7.68/5.80 tff(20743,plain,
% 7.68/5.80 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB175) <=> (v117(constB175) | v122(constB175)))),
% 7.68/5.80 inference(quant_inst,[status(thm)],[])).
% 7.68/5.80 tff(20744,plain,
% 7.68/5.80 (v116(constB175) <=> (v117(constB175) | v122(constB175))),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20743, 4066])).
% 7.68/5.80 tff(20745,plain,
% 7.68/5.80 ((v117(constB175) | v122(constB175)) | (~v122(constB175))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20746,plain,
% 7.68/5.80 (v117(constB175) | v122(constB175)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20745, 20685])).
% 7.68/5.80 tff(20747,plain,
% 7.68/5.80 ((~(v116(constB175) <=> (v117(constB175) | v122(constB175)))) | v116(constB175) | (~(v117(constB175) | v122(constB175)))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20748,plain,
% 7.68/5.80 (v116(constB175)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20747, 20746, 20744])).
% 7.68/5.80 tff(20749,plain,
% 7.68/5.80 ((v116(constB175) | v123(constB175)) | (~v116(constB175))),
% 7.68/5.80 inference(tautology,[status(thm)],[])).
% 7.68/5.80 tff(20750,plain,
% 7.68/5.80 (v116(constB175) | v123(constB175)),
% 7.68/5.80 inference(unit_resolution,[status(thm)],[20749, 20748])).
% 7.68/5.80 tff(20751,plain,
% 7.68/5.80 ((~(v115(constB175) <=> (v116(constB175) | v123(constB175)))) | v115(constB175) | (~(v116(constB175) | v123(constB175)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20752,plain,
% 7.68/5.81 (v115(constB175)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20751, 20750, 20742])).
% 7.68/5.81 tff(20753,plain,
% 7.68/5.81 ((v115(constB175) | v124(constB175)) | (~v115(constB175))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20754,plain,
% 7.68/5.81 (v115(constB175) | v124(constB175)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20753, 20752])).
% 7.68/5.81 tff(20755,plain,
% 7.68/5.81 ((~(v114(constB175) <=> (v115(constB175) | v124(constB175)))) | v114(constB175) | (~(v115(constB175) | v124(constB175)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20756,plain,
% 7.68/5.81 (v114(constB175)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20755, 20754, 20740])).
% 7.68/5.81 tff(20757,plain,
% 7.68/5.81 ((v114(constB175) | v125(constB175)) | (~v114(constB175))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20758,plain,
% 7.68/5.81 (v114(constB175) | v125(constB175)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20757, 20756])).
% 7.68/5.81 tff(20759,plain,
% 7.68/5.81 ((~(v113(constB175) <=> (v114(constB175) | v125(constB175)))) | v113(constB175) | (~(v114(constB175) | v125(constB175)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20760,plain,
% 7.68/5.81 (v113(constB175)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20759, 20758, 20738])).
% 7.68/5.81 tff(20761,plain,
% 7.68/5.81 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB175)) <=> v111(constB175))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20762,plain,
% 7.68/5.81 ((~v126(constB175)) <=> v111(constB175)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20761, 4118])).
% 7.68/5.81 tff(20763,plain,
% 7.68/5.81 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175) | v111(constB175)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20764,plain,
% 7.68/5.81 ((~((~v126(constB175)) <=> v111(constB175))) | v126(constB175)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20763, 12750])).
% 7.68/5.81 tff(20765,plain,
% 7.68/5.81 (v126(constB175)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20764, 20762])).
% 7.68/5.81 tff(20766,plain,
% 7.68/5.81 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175)) | (~v126(constB175))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20767,plain,
% 7.68/5.81 ((~((~v113(constB175)) | (~v126(constB175)))) | (~v113(constB175))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20766, 20765])).
% 7.68/5.81 tff(20768,plain,
% 7.68/5.81 (~((~v113(constB175)) | (~v126(constB175)))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20767, 20760])).
% 7.68/5.81 tff(20769,plain,
% 7.68/5.81 ((~(v112(constB175) <=> (~((~v113(constB175)) | (~v126(constB175)))))) | v112(constB175) | ((~v113(constB175)) | (~v126(constB175)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20770,plain,
% 7.68/5.81 (v112(constB175)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20769, 20768, 20736])).
% 7.68/5.81 tff(20771,plain,
% 7.68/5.81 ((v111(constB175) | v112(constB175)) | (~v112(constB175))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20772,plain,
% 7.68/5.81 (v111(constB175) | v112(constB175)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20771, 20770])).
% 7.68/5.81 tff(20773,plain,
% 7.68/5.81 ((~(v108(constB175) <=> (v111(constB175) | v112(constB175)))) | v108(constB175) | (~(v111(constB175) | v112(constB175)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20774,plain,
% 7.68/5.81 (v108(constB175)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20773, 20772, 20734])).
% 7.68/5.81 tff(20775,plain,
% 7.68/5.81 ((~(v110(constB176) <=> v108(constB175))) | v110(constB176) | (~v108(constB175))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20776,plain,
% 7.68/5.81 (v110(constB176)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20775, 20774, 20732])).
% 7.68/5.81 tff(20777,plain,
% 7.68/5.81 ((~((~v101(constB176)) | (~v110(constB176)))) | (~v101(constB176)) | (~v110(constB176))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20778,plain,
% 7.68/5.81 (~((~v101(constB176)) | (~v110(constB176)))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20777, 20776, 20728])).
% 7.68/5.81 tff(20779,plain,
% 7.68/5.81 ((~(v100(constB176) <=> (~((~v101(constB176)) | (~v110(constB176)))))) | v100(constB176) | ((~v101(constB176)) | (~v110(constB176)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20780,plain,
% 7.68/5.81 (v100(constB176)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20779, 20778, 20700])).
% 7.68/5.81 tff(20781,plain,
% 7.68/5.81 (((~![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)))))),
% 7.68/5.81 inference(rewrite,[status(thm)],[])).
% 7.68/5.81 tff(20782,plain,
% 7.68/5.81 ((~![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)))))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20783,plain,
% 7.68/5.81 ((~![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))))),
% 7.68/5.81 inference(modus_ponens,[status(thm)],[20782, 20781])).
% 7.68/5.81 tff(20784,plain,
% 7.68/5.81 ((~v100(constB176)) | (~(((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0))))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20783, 4151])).
% 7.68/5.81 tff(20785,plain,
% 7.68/5.81 (~(((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0)))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20784, 20780])).
% 7.68/5.81 tff(20786,plain,
% 7.68/5.81 ((((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0))) | (~((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20787,plain,
% 7.68/5.81 (~((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20786, 20785])).
% 7.68/5.81 tff(20788,plain,
% 7.68/5.81 (((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | v90(constB176, bitIndex2) | (~v129(constB176, bitIndex2))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20789,plain,
% 7.68/5.81 (v90(constB176, bitIndex2)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20788, 20787, 20696])).
% 7.68/5.81 tff(20790,plain,
% 7.68/5.81 (((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | v90(constB177, bitIndex2) | (~v90(constB176, bitIndex2))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20791,plain,
% 7.68/5.81 (v90(constB177, bitIndex2)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20790, 20789, 12734])).
% 7.68/5.81 tff(20792,plain,
% 7.68/5.81 ((((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))) | (~((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20793,plain,
% 7.68/5.81 (~((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20792, 12732])).
% 7.68/5.81 tff(20794,plain,
% 7.68/5.81 ((((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0))) | (~((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20795,plain,
% 7.68/5.81 (~((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20794, 12741])).
% 7.68/5.81 tff(20796,plain,
% 7.68/5.81 ((((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1))) | (~((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20797,plain,
% 7.68/5.81 (~((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20796, 12755])).
% 7.68/5.81 tff(20798,plain,
% 7.68/5.81 ((v130(constB175, bitIndex0) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex2))) | (~v130(constB175, bitIndex0))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20799,plain,
% 7.68/5.81 (~v130(constB175, bitIndex0)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20798, 20690])).
% 7.68/5.81 tff(20800,plain,
% 7.68/5.81 (((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)) | (~v127(constB175, bitIndex0)) | v130(constB175, bitIndex0)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20801,plain,
% 7.68/5.81 (~v127(constB175, bitIndex0)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20800, 20799, 20797])).
% 7.68/5.81 tff(20802,plain,
% 7.68/5.81 (((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0)) | (~v129(constB176, bitIndex0)) | v127(constB175, bitIndex0)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20803,plain,
% 7.68/5.81 (~v129(constB176, bitIndex0)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20802, 20801, 20795])).
% 7.68/5.81 tff(20804,plain,
% 7.68/5.81 ((((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0))) | (~((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20805,plain,
% 7.68/5.81 (~((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20804, 20785])).
% 7.68/5.81 tff(20806,plain,
% 7.68/5.81 (((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0)) | (~v90(constB176, bitIndex0)) | v129(constB176, bitIndex0)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20807,plain,
% 7.68/5.81 (~v90(constB176, bitIndex0)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20806, 20805, 20803])).
% 7.68/5.81 tff(20808,plain,
% 7.68/5.81 (((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0)) | (~v90(constB177, bitIndex0)) | v90(constB176, bitIndex0)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20809,plain,
% 7.68/5.81 (~v90(constB177, bitIndex0)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20808, 20807, 20793])).
% 7.68/5.81 tff(20810,plain,
% 7.68/5.81 ((((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | ((~v90(constB177, bitIndex2)) <=> v90(constB176, bitIndex2)) | ((~v90(constB177, bitIndex0)) <=> v90(constB176, bitIndex0))) | (~((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20811,plain,
% 7.68/5.81 (~((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20810, 12732])).
% 7.68/5.81 tff(20812,plain,
% 7.68/5.81 ((((~v129(constB176, bitIndex2)) <=> v127(constB175, bitIndex2)) | ((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | ((~v129(constB176, bitIndex0)) <=> v127(constB175, bitIndex0))) | (~((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20813,plain,
% 7.68/5.81 (~((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20812, 12741])).
% 7.68/5.81 tff(20814,plain,
% 7.68/5.81 ((((~v127(constB175, bitIndex2)) <=> v130(constB175, bitIndex2)) | ((~v127(constB175, bitIndex0)) <=> v130(constB175, bitIndex0)) | ((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1))) | (~((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20815,plain,
% 7.68/5.81 (~((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20814, 12755])).
% 7.68/5.81 tff(20816,plain,
% 7.68/5.81 ((v130(constB175, bitIndex0) | v130(constB175, bitIndex1) | (~v130(constB175, bitIndex2))) | (~v130(constB175, bitIndex1))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20817,plain,
% 7.68/5.81 (~v130(constB175, bitIndex1)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20816, 20690])).
% 7.68/5.81 tff(20818,plain,
% 7.68/5.81 (((~v127(constB175, bitIndex1)) <=> v130(constB175, bitIndex1)) | (~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20819,plain,
% 7.68/5.81 (~v127(constB175, bitIndex1)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20818, 20817, 20815])).
% 7.68/5.81 tff(20820,plain,
% 7.68/5.81 (((~v129(constB176, bitIndex1)) <=> v127(constB175, bitIndex1)) | (~v129(constB176, bitIndex1)) | v127(constB175, bitIndex1)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20821,plain,
% 7.68/5.81 (~v129(constB176, bitIndex1)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20820, 20819, 20813])).
% 7.68/5.81 tff(20822,plain,
% 7.68/5.81 ((((~v90(constB176, bitIndex2)) <=> v129(constB176, bitIndex2)) | ((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | ((~v90(constB176, bitIndex0)) <=> v129(constB176, bitIndex0))) | (~((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20823,plain,
% 7.68/5.81 (~((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20822, 20785])).
% 7.68/5.81 tff(20824,plain,
% 7.68/5.81 (((~v90(constB176, bitIndex1)) <=> v129(constB176, bitIndex1)) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20825,plain,
% 7.68/5.81 (~v90(constB176, bitIndex1)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20824, 20823, 20821])).
% 7.68/5.81 tff(20826,plain,
% 7.68/5.81 (((~v90(constB177, bitIndex1)) <=> v90(constB176, bitIndex1)) | (~v90(constB177, bitIndex1)) | v90(constB176, bitIndex1)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20827,plain,
% 7.68/5.81 (~v90(constB177, bitIndex1)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20826, 20825, 20811])).
% 7.68/5.81 tff(20828,plain,
% 7.68/5.81 ((~(v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2)))) | v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20829,plain,
% 7.68/5.81 (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2)))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20828, 20827, 20809, 20791])).
% 7.68/5.81 tff(20830,plain,
% 7.68/5.81 ((~(v123(constB177) <=> (~(v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2)))))) | v123(constB177) | (v90(constB177, bitIndex1) | v90(constB177, bitIndex0) | (~v90(constB177, bitIndex2)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20831,plain,
% 7.68/5.81 (v123(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20830, 20829, 12698])).
% 7.68/5.81 tff(20832,plain,
% 7.68/5.81 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB177)) | (~(v130(constB177, bitIndex1) | (~v130(constB177, bitIndex2)) | (~v130(constB177, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB177)) | (~(v130(constB177, bitIndex1) | (~v130(constB177, bitIndex2)) | (~v130(constB177, bitIndex0)))))),
% 7.68/5.81 inference(rewrite,[status(thm)],[])).
% 7.68/5.81 tff(20833,plain,
% 7.68/5.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB177)) | (~(v130(constB177, bitIndex1) | (~v130(constB177, bitIndex2)) | (~v130(constB177, bitIndex0)))))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20834,plain,
% 7.68/5.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB177)) | (~(v130(constB177, bitIndex1) | (~v130(constB177, bitIndex2)) | (~v130(constB177, bitIndex0))))),
% 7.68/5.81 inference(modus_ponens,[status(thm)],[20833, 20832])).
% 7.68/5.81 tff(20835,plain,
% 7.68/5.81 ((~v123(constB177)) | (~(v130(constB177, bitIndex1) | (~v130(constB177, bitIndex2)) | (~v130(constB177, bitIndex0))))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20834, 4722])).
% 7.68/5.81 tff(20836,plain,
% 7.68/5.81 (~(v130(constB177, bitIndex1) | (~v130(constB177, bitIndex2)) | (~v130(constB177, bitIndex0)))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20835, 20831])).
% 7.68/5.81 tff(20837,plain,
% 7.68/5.81 ((v130(constB177, bitIndex1) | (~v130(constB177, bitIndex2)) | (~v130(constB177, bitIndex0))) | v130(constB177, bitIndex2)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20838,plain,
% 7.68/5.81 (v130(constB177, bitIndex2)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20837, 20836])).
% 7.68/5.81 tff(20839,plain,
% 7.68/5.81 (((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | v127(constB177, bitIndex2) | (~v130(constB177, bitIndex2))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20840,plain,
% 7.68/5.81 (v127(constB177, bitIndex2)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20839, 20838, 12691])).
% 7.68/5.81 tff(20841,plain,
% 7.68/5.81 (((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | v129(constB178, bitIndex2) | (~v127(constB177, bitIndex2))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20842,plain,
% 7.68/5.81 (v129(constB178, bitIndex2)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20841, 20840, 12677])).
% 7.68/5.81 tff(20843,plain,
% 7.68/5.81 (((~![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))))))),
% 7.68/5.81 inference(rewrite,[status(thm)],[])).
% 7.68/5.81 tff(20844,plain,
% 7.68/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20845,plain,
% 7.68/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB177, constB178)) | (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))),
% 7.68/5.81 inference(modus_ponens,[status(thm)],[20844, 20843])).
% 7.68/5.81 tff(20846,plain,
% 7.68/5.81 (v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178))))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20845, 12671, 433])).
% 7.68/5.81 tff(20847,plain,
% 7.68/5.81 (((~![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))))))),
% 7.68/5.81 inference(rewrite,[status(thm)],[])).
% 7.68/5.81 tff(20848,plain,
% 7.68/5.81 (((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178)))))) <=> ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))))),
% 7.68/5.81 inference(rewrite,[status(thm)],[])).
% 7.68/5.81 tff(20849,plain,
% 7.68/5.81 (((~![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)))))))),
% 7.68/5.81 inference(monotonicity,[status(thm)],[20848])).
% 7.68/5.81 tff(20850,plain,
% 7.68/5.81 (((~![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))))))),
% 7.68/5.81 inference(transitivity,[status(thm)],[20849, 20847])).
% 7.68/5.81 tff(20851,plain,
% 7.68/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v102(constB178)) | (~v1(constB178))))))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20852,plain,
% 7.68/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))),
% 7.68/5.81 inference(modus_ponens,[status(thm)],[20851, 20850])).
% 7.68/5.81 tff(20853,plain,
% 7.68/5.81 (v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178))))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20852, 12671, 453])).
% 7.68/5.81 tff(20854,plain,
% 7.68/5.81 (((~![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)))),
% 7.68/5.81 inference(rewrite,[status(thm)],[])).
% 7.68/5.81 tff(20855,plain,
% 7.68/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178)))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20856,plain,
% 7.68/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB177, constB178)) | ((~v102(constB178)) <=> v104(constB178))),
% 7.68/5.81 inference(modus_ponens,[status(thm)],[20855, 20854])).
% 7.68/5.81 tff(20857,plain,
% 7.68/5.81 ((~v102(constB178)) <=> v104(constB178)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20856, 12671, 3966])).
% 7.68/5.81 tff(20858,plain,
% 7.68/5.81 (((~![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)))),
% 7.68/5.81 inference(rewrite,[status(thm)],[])).
% 7.68/5.81 tff(20859,plain,
% 7.68/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177)))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20860,plain,
% 7.68/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v1(constB177))),
% 7.68/5.81 inference(modus_ponens,[status(thm)],[20859, 20858])).
% 7.68/5.81 tff(20861,plain,
% 7.68/5.81 (v104(constB178) <=> v1(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20860, 12671, 3980])).
% 7.68/5.81 tff(20862,plain,
% 7.68/5.81 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178)) | v1(constB177)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20863,plain,
% 7.68/5.81 ((~(v104(constB178) <=> v1(constB177))) | (~v104(constB178))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20862, 12715])).
% 7.68/5.81 tff(20864,plain,
% 7.68/5.81 (~v104(constB178)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20863, 20861])).
% 7.68/5.81 tff(20865,plain,
% 7.68/5.81 ((~((~v102(constB178)) <=> v104(constB178))) | v102(constB178) | v104(constB178)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20866,plain,
% 7.68/5.81 (v102(constB178)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20865, 20864, 20857])).
% 7.68/5.81 tff(20867,plain,
% 7.68/5.81 (v1(constB178) <=> v1(constB178)),
% 7.68/5.81 inference(rewrite,[status(thm)],[])).
% 7.68/5.81 tff(20868,axiom,(v1(constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_178')).
% 7.68/5.81 tff(20869,plain,
% 7.68/5.81 (v1(constB178)),
% 7.68/5.81 inference(modus_ponens,[status(thm)],[20868, 20867])).
% 7.68/5.81 tff(20870,plain,
% 7.68/5.81 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v1(constB178)) | (~v102(constB178))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20871,plain,
% 7.68/5.81 ((~((~v1(constB178)) | (~v102(constB178)))) | (~v102(constB178))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20870, 20869])).
% 7.68/5.81 tff(20872,plain,
% 7.68/5.81 (~((~v1(constB178)) | (~v102(constB178)))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20871, 20866])).
% 7.68/5.81 tff(20873,plain,
% 7.68/5.81 ((~(v101(constB178) <=> (~((~v1(constB178)) | (~v102(constB178)))))) | v101(constB178) | ((~v1(constB178)) | (~v102(constB178)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20874,plain,
% 7.68/5.81 (v101(constB178)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20873, 20872, 20853])).
% 7.68/5.81 tff(20875,plain,
% 7.68/5.81 (((~![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)))),
% 7.68/5.81 inference(rewrite,[status(thm)],[])).
% 7.68/5.81 tff(20876,plain,
% 7.68/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177)))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20877,plain,
% 7.68/5.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB177, constB178)) | (v110(constB178) <=> v108(constB177))),
% 7.68/5.81 inference(modus_ponens,[status(thm)],[20876, 20875])).
% 7.68/5.81 tff(20878,plain,
% 7.68/5.81 (v110(constB178) <=> v108(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20877, 12671, 4007])).
% 7.68/5.81 tff(20879,plain,
% 7.68/5.81 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB177) <=> (v111(constB177) | v112(constB177)))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20880,plain,
% 7.68/5.81 (v108(constB177) <=> (v111(constB177) | v112(constB177))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20879, 4018])).
% 7.68/5.81 tff(20881,plain,
% 7.68/5.81 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20882,plain,
% 7.68/5.81 (v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177))))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20881, 4030])).
% 7.68/5.81 tff(20883,plain,
% 7.68/5.81 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB177) <=> (v114(constB177) | v125(constB177)))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20884,plain,
% 7.68/5.81 (v113(constB177) <=> (v114(constB177) | v125(constB177))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20883, 4039])).
% 7.68/5.81 tff(20885,plain,
% 7.68/5.81 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB177) <=> (v115(constB177) | v124(constB177)))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20886,plain,
% 7.68/5.81 (v114(constB177) <=> (v115(constB177) | v124(constB177))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20885, 4048])).
% 7.68/5.81 tff(20887,plain,
% 7.68/5.81 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB177) <=> (v116(constB177) | v123(constB177)))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20888,plain,
% 7.68/5.81 (v115(constB177) <=> (v116(constB177) | v123(constB177))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20887, 4057])).
% 7.68/5.81 tff(20889,plain,
% 7.68/5.81 ((v116(constB177) | v123(constB177)) | (~v123(constB177))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20890,plain,
% 7.68/5.81 (v116(constB177) | v123(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20889, 20831])).
% 7.68/5.81 tff(20891,plain,
% 7.68/5.81 ((~(v115(constB177) <=> (v116(constB177) | v123(constB177)))) | v115(constB177) | (~(v116(constB177) | v123(constB177)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20892,plain,
% 7.68/5.81 (v115(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20891, 20890, 20888])).
% 7.68/5.81 tff(20893,plain,
% 7.68/5.81 ((v115(constB177) | v124(constB177)) | (~v115(constB177))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20894,plain,
% 7.68/5.81 (v115(constB177) | v124(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20893, 20892])).
% 7.68/5.81 tff(20895,plain,
% 7.68/5.81 ((~(v114(constB177) <=> (v115(constB177) | v124(constB177)))) | v114(constB177) | (~(v115(constB177) | v124(constB177)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20896,plain,
% 7.68/5.81 (v114(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20895, 20894, 20886])).
% 7.68/5.81 tff(20897,plain,
% 7.68/5.81 ((v114(constB177) | v125(constB177)) | (~v114(constB177))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20898,plain,
% 7.68/5.81 (v114(constB177) | v125(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20897, 20896])).
% 7.68/5.81 tff(20899,plain,
% 7.68/5.81 ((~(v113(constB177) <=> (v114(constB177) | v125(constB177)))) | v113(constB177) | (~(v114(constB177) | v125(constB177)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20900,plain,
% 7.68/5.81 (v113(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20899, 20898, 20884])).
% 7.68/5.81 tff(20901,plain,
% 7.68/5.81 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB177)) <=> v111(constB177))),
% 7.68/5.81 inference(quant_inst,[status(thm)],[])).
% 7.68/5.81 tff(20902,plain,
% 7.68/5.81 ((~v126(constB177)) <=> v111(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20901, 4118])).
% 7.68/5.81 tff(20903,plain,
% 7.68/5.81 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177) | v111(constB177)),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20904,plain,
% 7.68/5.81 ((~((~v126(constB177)) <=> v111(constB177))) | v126(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20903, 12684])).
% 7.68/5.81 tff(20905,plain,
% 7.68/5.81 (v126(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20904, 20902])).
% 7.68/5.81 tff(20906,plain,
% 7.68/5.81 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177)) | (~v126(constB177))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20907,plain,
% 7.68/5.81 ((~((~v113(constB177)) | (~v126(constB177)))) | (~v113(constB177))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20906, 20905])).
% 7.68/5.81 tff(20908,plain,
% 7.68/5.81 (~((~v113(constB177)) | (~v126(constB177)))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20907, 20900])).
% 7.68/5.81 tff(20909,plain,
% 7.68/5.81 ((~(v112(constB177) <=> (~((~v113(constB177)) | (~v126(constB177)))))) | v112(constB177) | ((~v113(constB177)) | (~v126(constB177)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20910,plain,
% 7.68/5.81 (v112(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20909, 20908, 20882])).
% 7.68/5.81 tff(20911,plain,
% 7.68/5.81 ((v111(constB177) | v112(constB177)) | (~v112(constB177))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20912,plain,
% 7.68/5.81 (v111(constB177) | v112(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20911, 20910])).
% 7.68/5.81 tff(20913,plain,
% 7.68/5.81 ((~(v108(constB177) <=> (v111(constB177) | v112(constB177)))) | v108(constB177) | (~(v111(constB177) | v112(constB177)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20914,plain,
% 7.68/5.81 (v108(constB177)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20913, 20912, 20880])).
% 7.68/5.81 tff(20915,plain,
% 7.68/5.81 ((~(v110(constB178) <=> v108(constB177))) | v110(constB178) | (~v108(constB177))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20916,plain,
% 7.68/5.81 (v110(constB178)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20915, 20914, 20878])).
% 7.68/5.81 tff(20917,plain,
% 7.68/5.81 ((~((~v101(constB178)) | (~v110(constB178)))) | (~v101(constB178)) | (~v110(constB178))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20918,plain,
% 7.68/5.81 (~((~v101(constB178)) | (~v110(constB178)))),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20917, 20916, 20874])).
% 7.68/5.81 tff(20919,plain,
% 7.68/5.81 ((~(v100(constB178) <=> (~((~v101(constB178)) | (~v110(constB178)))))) | v100(constB178) | ((~v101(constB178)) | (~v110(constB178)))),
% 7.68/5.81 inference(tautology,[status(thm)],[])).
% 7.68/5.81 tff(20920,plain,
% 7.68/5.81 (v100(constB178)),
% 7.68/5.81 inference(unit_resolution,[status(thm)],[20919, 20918, 20846])).
% 7.68/5.81 tff(20921,plain,
% 7.68/5.81 (((~![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)))))),
% 7.68/5.82 inference(rewrite,[status(thm)],[])).
% 7.68/5.82 tff(20922,plain,
% 7.68/5.82 (((~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)))))),
% 7.68/5.82 inference(rewrite,[status(thm)],[])).
% 7.68/5.82 tff(20923,plain,
% 7.68/5.82 (((~![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))))))),
% 7.68/5.82 inference(monotonicity,[status(thm)],[20922])).
% 7.68/5.82 tff(20924,plain,
% 7.68/5.82 (((~![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)))))),
% 7.68/5.82 inference(transitivity,[status(thm)],[20923, 20921])).
% 7.68/5.82 tff(20925,plain,
% 7.68/5.82 ((~![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)))))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(20926,plain,
% 7.68/5.82 ((~![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))))),
% 7.68/5.82 inference(modus_ponens,[status(thm)],[20925, 20924])).
% 7.68/5.82 tff(20927,plain,
% 7.68/5.82 ((~v100(constB178)) | (~(((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20926, 4151])).
% 7.68/5.82 tff(20928,plain,
% 7.68/5.82 (~(((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20927, 20920])).
% 7.68/5.82 tff(20929,plain,
% 7.68/5.82 ((((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))) | (~((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20930,plain,
% 7.68/5.82 (~((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20929, 20928])).
% 7.68/5.82 tff(20931,plain,
% 7.68/5.82 (((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | v90(constB178, bitIndex2) | (~v129(constB178, bitIndex2))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20932,plain,
% 7.68/5.82 (v90(constB178, bitIndex2)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20931, 20930, 20842])).
% 7.68/5.82 tff(20933,plain,
% 7.68/5.82 (((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | v90(constB179, bitIndex2) | (~v90(constB178, bitIndex2))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20934,plain,
% 7.68/5.82 (v90(constB179, bitIndex2)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20933, 20932, 12668])).
% 7.68/5.82 tff(20935,plain,
% 7.68/5.82 ((((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))) | (~((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20936,plain,
% 7.68/5.82 (~((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20935, 12666])).
% 7.68/5.82 tff(20937,plain,
% 7.68/5.82 ((((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0))) | (~((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20938,plain,
% 7.68/5.82 (~((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20937, 12675])).
% 7.68/5.82 tff(20939,plain,
% 7.68/5.82 ((((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1))) | (~((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20940,plain,
% 7.68/5.82 (~((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20939, 12689])).
% 7.68/5.82 tff(20941,plain,
% 7.68/5.82 ((v130(constB177, bitIndex1) | (~v130(constB177, bitIndex2)) | (~v130(constB177, bitIndex0))) | v130(constB177, bitIndex0)),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20942,plain,
% 7.68/5.82 (v130(constB177, bitIndex0)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20941, 20836])).
% 7.68/5.82 tff(20943,plain,
% 7.68/5.82 (((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)) | v127(constB177, bitIndex0) | (~v130(constB177, bitIndex0))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20944,plain,
% 7.68/5.82 (v127(constB177, bitIndex0)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20943, 20942, 20940])).
% 7.68/5.82 tff(20945,plain,
% 7.68/5.82 (((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0)) | v129(constB178, bitIndex0) | (~v127(constB177, bitIndex0))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20946,plain,
% 7.68/5.82 (v129(constB178, bitIndex0)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20945, 20944, 20938])).
% 7.68/5.82 tff(20947,plain,
% 7.68/5.82 ((((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))) | (~((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20948,plain,
% 7.68/5.82 (~((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20947, 20928])).
% 7.68/5.82 tff(20949,plain,
% 7.68/5.82 (((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | v90(constB178, bitIndex0) | (~v129(constB178, bitIndex0))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20950,plain,
% 7.68/5.82 (v90(constB178, bitIndex0)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20949, 20948, 20946])).
% 7.68/5.82 tff(20951,plain,
% 7.68/5.82 (((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0)) | v90(constB179, bitIndex0) | (~v90(constB178, bitIndex0))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20952,plain,
% 7.68/5.82 (v90(constB179, bitIndex0)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20951, 20950, 20936])).
% 7.68/5.82 tff(20953,plain,
% 7.68/5.82 ((((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | ((~v90(constB179, bitIndex2)) <=> v90(constB178, bitIndex2)) | ((~v90(constB179, bitIndex0)) <=> v90(constB178, bitIndex0))) | (~((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20954,plain,
% 7.68/5.82 (~((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20953, 12666])).
% 7.68/5.82 tff(20955,plain,
% 7.68/5.82 ((((~v129(constB178, bitIndex2)) <=> v127(constB177, bitIndex2)) | ((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | ((~v129(constB178, bitIndex0)) <=> v127(constB177, bitIndex0))) | (~((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20956,plain,
% 7.68/5.82 (~((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20955, 12675])).
% 7.68/5.82 tff(20957,plain,
% 7.68/5.82 ((((~v127(constB177, bitIndex2)) <=> v130(constB177, bitIndex2)) | ((~v127(constB177, bitIndex0)) <=> v130(constB177, bitIndex0)) | ((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1))) | (~((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20958,plain,
% 7.68/5.82 (~((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20957, 12689])).
% 7.68/5.82 tff(20959,plain,
% 7.68/5.82 ((v130(constB177, bitIndex1) | (~v130(constB177, bitIndex2)) | (~v130(constB177, bitIndex0))) | (~v130(constB177, bitIndex1))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20960,plain,
% 7.68/5.82 (~v130(constB177, bitIndex1)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20959, 20836])).
% 7.68/5.82 tff(20961,plain,
% 7.68/5.82 (((~v127(constB177, bitIndex1)) <=> v130(constB177, bitIndex1)) | (~v127(constB177, bitIndex1)) | v130(constB177, bitIndex1)),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20962,plain,
% 7.68/5.82 (~v127(constB177, bitIndex1)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20961, 20960, 20958])).
% 7.68/5.82 tff(20963,plain,
% 7.68/5.82 (((~v129(constB178, bitIndex1)) <=> v127(constB177, bitIndex1)) | (~v129(constB178, bitIndex1)) | v127(constB177, bitIndex1)),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20964,plain,
% 7.68/5.82 (~v129(constB178, bitIndex1)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20963, 20962, 20956])).
% 7.68/5.82 tff(20965,plain,
% 7.68/5.82 ((((~v90(constB178, bitIndex0)) <=> v129(constB178, bitIndex0)) | ((~v90(constB178, bitIndex2)) <=> v129(constB178, bitIndex2)) | ((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))) | (~((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20966,plain,
% 7.68/5.82 (~((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20965, 20928])).
% 7.68/5.82 tff(20967,plain,
% 7.68/5.82 (((~v90(constB178, bitIndex1)) <=> v129(constB178, bitIndex1)) | (~v90(constB178, bitIndex1)) | v129(constB178, bitIndex1)),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20968,plain,
% 7.68/5.82 (~v90(constB178, bitIndex1)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20967, 20966, 20964])).
% 7.68/5.82 tff(20969,plain,
% 7.68/5.82 (((~v90(constB179, bitIndex1)) <=> v90(constB178, bitIndex1)) | (~v90(constB179, bitIndex1)) | v90(constB178, bitIndex1)),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20970,plain,
% 7.68/5.82 (~v90(constB179, bitIndex1)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20969, 20968, 20954])).
% 7.68/5.82 tff(20971,plain,
% 7.68/5.82 ((~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0)))) | v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20972,plain,
% 7.68/5.82 (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0)))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20971, 20970, 20952, 20934])).
% 7.68/5.82 tff(20973,plain,
% 7.68/5.82 ((~(v124(constB179) <=> (~(v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0)))))) | v124(constB179) | (v90(constB179, bitIndex1) | (~v90(constB179, bitIndex2)) | (~v90(constB179, bitIndex0)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20974,plain,
% 7.68/5.82 (v124(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20973, 20972, 12632])).
% 7.68/5.82 tff(20975,plain,
% 7.68/5.82 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB179)) | (~(v130(constB179, bitIndex0) | (~v130(constB179, bitIndex2)) | (~v130(constB179, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB179)) | (~(v130(constB179, bitIndex0) | (~v130(constB179, bitIndex2)) | (~v130(constB179, bitIndex1)))))),
% 7.68/5.82 inference(rewrite,[status(thm)],[])).
% 7.68/5.82 tff(20976,plain,
% 7.68/5.82 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB179)) | (~(v130(constB179, bitIndex0) | (~v130(constB179, bitIndex2)) | (~v130(constB179, bitIndex1)))))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(20977,plain,
% 7.68/5.82 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB179)) | (~(v130(constB179, bitIndex0) | (~v130(constB179, bitIndex2)) | (~v130(constB179, bitIndex1))))),
% 7.68/5.82 inference(modus_ponens,[status(thm)],[20976, 20975])).
% 7.68/5.82 tff(20978,plain,
% 7.68/5.82 ((~v124(constB179)) | (~(v130(constB179, bitIndex0) | (~v130(constB179, bitIndex2)) | (~v130(constB179, bitIndex1))))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20977, 4878])).
% 7.68/5.82 tff(20979,plain,
% 7.68/5.82 (~(v130(constB179, bitIndex0) | (~v130(constB179, bitIndex2)) | (~v130(constB179, bitIndex1)))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20978, 20974])).
% 7.68/5.82 tff(20980,plain,
% 7.68/5.82 ((v130(constB179, bitIndex0) | (~v130(constB179, bitIndex2)) | (~v130(constB179, bitIndex1))) | v130(constB179, bitIndex2)),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20981,plain,
% 7.68/5.82 (v130(constB179, bitIndex2)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20980, 20979])).
% 7.68/5.82 tff(20982,plain,
% 7.68/5.82 (((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | v127(constB179, bitIndex2) | (~v130(constB179, bitIndex2))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20983,plain,
% 7.68/5.82 (v127(constB179, bitIndex2)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20982, 20981, 12625])).
% 7.68/5.82 tff(20984,plain,
% 7.68/5.82 (((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | v129(constB180, bitIndex2) | (~v127(constB179, bitIndex2))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(20985,plain,
% 7.68/5.82 (v129(constB180, bitIndex2)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20984, 20983, 12611])).
% 7.68/5.82 tff(20986,plain,
% 7.68/5.82 (((~![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))))))),
% 7.68/5.82 inference(rewrite,[status(thm)],[])).
% 7.68/5.82 tff(20987,plain,
% 7.68/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(20988,plain,
% 7.68/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB179, constB180)) | (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))),
% 7.68/5.82 inference(modus_ponens,[status(thm)],[20987, 20986])).
% 7.68/5.82 tff(20989,plain,
% 7.68/5.82 (v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180))))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20988, 12605, 433])).
% 7.68/5.82 tff(20990,plain,
% 7.68/5.82 (((~![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))))))),
% 7.68/5.82 inference(rewrite,[status(thm)],[])).
% 7.68/5.82 tff(20991,plain,
% 7.68/5.82 (((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180)))))) <=> ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))))),
% 7.68/5.82 inference(rewrite,[status(thm)],[])).
% 7.68/5.82 tff(20992,plain,
% 7.68/5.82 (((~![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)))))))),
% 7.68/5.82 inference(monotonicity,[status(thm)],[20991])).
% 7.68/5.82 tff(20993,plain,
% 7.68/5.82 (((~![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))))))),
% 7.68/5.82 inference(transitivity,[status(thm)],[20992, 20990])).
% 7.68/5.82 tff(20994,plain,
% 7.68/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v102(constB180)) | (~v1(constB180))))))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(20995,plain,
% 7.68/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))),
% 7.68/5.82 inference(modus_ponens,[status(thm)],[20994, 20993])).
% 7.68/5.82 tff(20996,plain,
% 7.68/5.82 (v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180))))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20995, 12605, 453])).
% 7.68/5.82 tff(20997,plain,
% 7.68/5.82 (((~![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)))),
% 7.68/5.82 inference(rewrite,[status(thm)],[])).
% 7.68/5.82 tff(20998,plain,
% 7.68/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180)))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(20999,plain,
% 7.68/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB179, constB180)) | ((~v102(constB180)) <=> v104(constB180))),
% 7.68/5.82 inference(modus_ponens,[status(thm)],[20998, 20997])).
% 7.68/5.82 tff(21000,plain,
% 7.68/5.82 ((~v102(constB180)) <=> v104(constB180)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[20999, 12605, 3966])).
% 7.68/5.82 tff(21001,plain,
% 7.68/5.82 (((~![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)))),
% 7.68/5.82 inference(rewrite,[status(thm)],[])).
% 7.68/5.82 tff(21002,plain,
% 7.68/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179)))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(21003,plain,
% 7.68/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v1(constB179))),
% 7.68/5.82 inference(modus_ponens,[status(thm)],[21002, 21001])).
% 7.68/5.82 tff(21004,plain,
% 7.68/5.82 (v104(constB180) <=> v1(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21003, 12605, 3980])).
% 7.68/5.82 tff(21005,plain,
% 7.68/5.82 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180)) | v1(constB179)),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21006,plain,
% 7.68/5.82 ((~(v104(constB180) <=> v1(constB179))) | (~v104(constB180))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21005, 12649])).
% 7.68/5.82 tff(21007,plain,
% 7.68/5.82 (~v104(constB180)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21006, 21004])).
% 7.68/5.82 tff(21008,plain,
% 7.68/5.82 ((~((~v102(constB180)) <=> v104(constB180))) | v102(constB180) | v104(constB180)),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21009,plain,
% 7.68/5.82 (v102(constB180)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21008, 21007, 21000])).
% 7.68/5.82 tff(21010,plain,
% 7.68/5.82 (v1(constB180) <=> v1(constB180)),
% 7.68/5.82 inference(rewrite,[status(thm)],[])).
% 7.68/5.82 tff(21011,axiom,(v1(constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_180')).
% 7.68/5.82 tff(21012,plain,
% 7.68/5.82 (v1(constB180)),
% 7.68/5.82 inference(modus_ponens,[status(thm)],[21011, 21010])).
% 7.68/5.82 tff(21013,plain,
% 7.68/5.82 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v1(constB180)) | (~v102(constB180))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21014,plain,
% 7.68/5.82 ((~((~v1(constB180)) | (~v102(constB180)))) | (~v102(constB180))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21013, 21012])).
% 7.68/5.82 tff(21015,plain,
% 7.68/5.82 (~((~v1(constB180)) | (~v102(constB180)))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21014, 21009])).
% 7.68/5.82 tff(21016,plain,
% 7.68/5.82 ((~(v101(constB180) <=> (~((~v1(constB180)) | (~v102(constB180)))))) | v101(constB180) | ((~v1(constB180)) | (~v102(constB180)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21017,plain,
% 7.68/5.82 (v101(constB180)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21016, 21015, 20996])).
% 7.68/5.82 tff(21018,plain,
% 7.68/5.82 (((~![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)))),
% 7.68/5.82 inference(rewrite,[status(thm)],[])).
% 7.68/5.82 tff(21019,plain,
% 7.68/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179)))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(21020,plain,
% 7.68/5.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB179, constB180)) | (v110(constB180) <=> v108(constB179))),
% 7.68/5.82 inference(modus_ponens,[status(thm)],[21019, 21018])).
% 7.68/5.82 tff(21021,plain,
% 7.68/5.82 (v110(constB180) <=> v108(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21020, 12605, 4007])).
% 7.68/5.82 tff(21022,plain,
% 7.68/5.82 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB179) <=> (v111(constB179) | v112(constB179)))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(21023,plain,
% 7.68/5.82 (v108(constB179) <=> (v111(constB179) | v112(constB179))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21022, 4018])).
% 7.68/5.82 tff(21024,plain,
% 7.68/5.82 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(21025,plain,
% 7.68/5.82 (v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179))))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21024, 4030])).
% 7.68/5.82 tff(21026,plain,
% 7.68/5.82 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB179) <=> (v114(constB179) | v125(constB179)))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(21027,plain,
% 7.68/5.82 (v113(constB179) <=> (v114(constB179) | v125(constB179))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21026, 4039])).
% 7.68/5.82 tff(21028,plain,
% 7.68/5.82 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB179) <=> (v115(constB179) | v124(constB179)))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(21029,plain,
% 7.68/5.82 (v114(constB179) <=> (v115(constB179) | v124(constB179))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21028, 4048])).
% 7.68/5.82 tff(21030,plain,
% 7.68/5.82 ((v115(constB179) | v124(constB179)) | (~v124(constB179))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21031,plain,
% 7.68/5.82 (v115(constB179) | v124(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21030, 20974])).
% 7.68/5.82 tff(21032,plain,
% 7.68/5.82 ((~(v114(constB179) <=> (v115(constB179) | v124(constB179)))) | v114(constB179) | (~(v115(constB179) | v124(constB179)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21033,plain,
% 7.68/5.82 (v114(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21032, 21031, 21029])).
% 7.68/5.82 tff(21034,plain,
% 7.68/5.82 ((v114(constB179) | v125(constB179)) | (~v114(constB179))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21035,plain,
% 7.68/5.82 (v114(constB179) | v125(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21034, 21033])).
% 7.68/5.82 tff(21036,plain,
% 7.68/5.82 ((~(v113(constB179) <=> (v114(constB179) | v125(constB179)))) | v113(constB179) | (~(v114(constB179) | v125(constB179)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21037,plain,
% 7.68/5.82 (v113(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21036, 21035, 21027])).
% 7.68/5.82 tff(21038,plain,
% 7.68/5.82 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB179)) <=> v111(constB179))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(21039,plain,
% 7.68/5.82 ((~v126(constB179)) <=> v111(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21038, 4118])).
% 7.68/5.82 tff(21040,plain,
% 7.68/5.82 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179) | v111(constB179)),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21041,plain,
% 7.68/5.82 ((~((~v126(constB179)) <=> v111(constB179))) | v126(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21040, 12618])).
% 7.68/5.82 tff(21042,plain,
% 7.68/5.82 (v126(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21041, 21039])).
% 7.68/5.82 tff(21043,plain,
% 7.68/5.82 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179)) | (~v126(constB179))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21044,plain,
% 7.68/5.82 ((~((~v113(constB179)) | (~v126(constB179)))) | (~v113(constB179))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21043, 21042])).
% 7.68/5.82 tff(21045,plain,
% 7.68/5.82 (~((~v113(constB179)) | (~v126(constB179)))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21044, 21037])).
% 7.68/5.82 tff(21046,plain,
% 7.68/5.82 ((~(v112(constB179) <=> (~((~v113(constB179)) | (~v126(constB179)))))) | v112(constB179) | ((~v113(constB179)) | (~v126(constB179)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21047,plain,
% 7.68/5.82 (v112(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21046, 21045, 21025])).
% 7.68/5.82 tff(21048,plain,
% 7.68/5.82 ((v111(constB179) | v112(constB179)) | (~v112(constB179))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21049,plain,
% 7.68/5.82 (v111(constB179) | v112(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21048, 21047])).
% 7.68/5.82 tff(21050,plain,
% 7.68/5.82 ((~(v108(constB179) <=> (v111(constB179) | v112(constB179)))) | v108(constB179) | (~(v111(constB179) | v112(constB179)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21051,plain,
% 7.68/5.82 (v108(constB179)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21050, 21049, 21023])).
% 7.68/5.82 tff(21052,plain,
% 7.68/5.82 ((~(v110(constB180) <=> v108(constB179))) | v110(constB180) | (~v108(constB179))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21053,plain,
% 7.68/5.82 (v110(constB180)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21052, 21051, 21021])).
% 7.68/5.82 tff(21054,plain,
% 7.68/5.82 ((~((~v101(constB180)) | (~v110(constB180)))) | (~v101(constB180)) | (~v110(constB180))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21055,plain,
% 7.68/5.82 (~((~v101(constB180)) | (~v110(constB180)))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21054, 21053, 21017])).
% 7.68/5.82 tff(21056,plain,
% 7.68/5.82 ((~(v100(constB180) <=> (~((~v101(constB180)) | (~v110(constB180)))))) | v100(constB180) | ((~v101(constB180)) | (~v110(constB180)))),
% 7.68/5.82 inference(tautology,[status(thm)],[])).
% 7.68/5.82 tff(21057,plain,
% 7.68/5.82 (v100(constB180)),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21056, 21055, 20989])).
% 7.68/5.82 tff(21058,plain,
% 7.68/5.82 (((~![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)))))),
% 7.68/5.82 inference(rewrite,[status(thm)],[])).
% 7.68/5.82 tff(21059,plain,
% 7.68/5.82 ((~![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)))))),
% 7.68/5.82 inference(quant_inst,[status(thm)],[])).
% 7.68/5.82 tff(21060,plain,
% 7.68/5.82 ((~![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))))),
% 7.68/5.82 inference(modus_ponens,[status(thm)],[21059, 21058])).
% 7.68/5.82 tff(21061,plain,
% 7.68/5.82 ((~v100(constB180)) | (~(((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0))))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21060, 4151])).
% 7.68/5.82 tff(21062,plain,
% 7.68/5.82 (~(((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0)))),
% 7.68/5.82 inference(unit_resolution,[status(thm)],[21061, 21057])).
% 7.68/5.82 tff(21063,plain,
% 7.68/5.82 ((((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0))) | (~((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21064,plain,
% 7.68/5.83 (~((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21063, 21062])).
% 7.68/5.83 tff(21065,plain,
% 7.68/5.83 (((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | v90(constB180, bitIndex2) | (~v129(constB180, bitIndex2))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21066,plain,
% 7.68/5.83 (v90(constB180, bitIndex2)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21065, 21064, 20985])).
% 7.68/5.83 tff(21067,plain,
% 7.68/5.83 (((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | v90(constB181, bitIndex2) | (~v90(constB180, bitIndex2))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21068,plain,
% 7.68/5.83 (v90(constB181, bitIndex2)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21067, 21066, 12602])).
% 7.68/5.83 tff(21069,plain,
% 7.68/5.83 ((v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex2))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21070,plain,
% 7.68/5.83 (v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21069, 21068])).
% 7.68/5.83 tff(21071,plain,
% 7.68/5.83 ((~(v119(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2))))) | (~v119(constB181)) | (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | v90(constB181, bitIndex2)))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21072,plain,
% 7.68/5.83 (~v119(constB181)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21071, 21070, 12566])).
% 7.68/5.83 tff(21073,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex0))))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21074,plain,
% 7.68/5.83 ((v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2))))) <=> (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex0)))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21075,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex0))))))),
% 7.68/5.83 inference(monotonicity,[status(thm)],[21074])).
% 7.68/5.83 tff(21076,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex0))))))),
% 7.68/5.83 inference(transitivity,[status(thm)],[21075, 21073])).
% 7.68/5.83 tff(21077,plain,
% 7.68/5.83 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex2)))))),
% 7.68/5.83 inference(quant_inst,[status(thm)],[])).
% 7.68/5.83 tff(21078,plain,
% 7.68/5.83 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex0)))))),
% 7.68/5.83 inference(modus_ponens,[status(thm)],[21077, 21076])).
% 7.68/5.83 tff(21079,plain,
% 7.68/5.83 (v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex0))))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21078, 801])).
% 7.68/5.83 tff(21080,plain,
% 7.68/5.83 ((((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))) | (~((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21081,plain,
% 7.68/5.83 (~((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21080, 12600])).
% 7.68/5.83 tff(21082,plain,
% 7.68/5.83 ((((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0))) | (~((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21083,plain,
% 7.68/5.83 (~((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21082, 12609])).
% 7.68/5.83 tff(21084,plain,
% 7.68/5.83 ((((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1))) | (~((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21085,plain,
% 7.68/5.83 (~((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21084, 12623])).
% 7.68/5.83 tff(21086,plain,
% 7.68/5.83 ((v130(constB179, bitIndex0) | (~v130(constB179, bitIndex2)) | (~v130(constB179, bitIndex1))) | v130(constB179, bitIndex1)),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21087,plain,
% 7.68/5.83 (v130(constB179, bitIndex1)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21086, 20979])).
% 7.68/5.83 tff(21088,plain,
% 7.68/5.83 (((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1)) | v127(constB179, bitIndex1) | (~v130(constB179, bitIndex1))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21089,plain,
% 7.68/5.83 (v127(constB179, bitIndex1)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21088, 21087, 21085])).
% 7.68/5.83 tff(21090,plain,
% 7.68/5.83 (((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | v129(constB180, bitIndex1) | (~v127(constB179, bitIndex1))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21091,plain,
% 7.68/5.83 (v129(constB180, bitIndex1)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21090, 21089, 21083])).
% 7.68/5.83 tff(21092,plain,
% 7.68/5.83 ((((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0))) | (~((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21093,plain,
% 7.68/5.83 (~((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21092, 21062])).
% 7.68/5.83 tff(21094,plain,
% 7.68/5.83 (((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21095,plain,
% 7.68/5.83 (v90(constB180, bitIndex1)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21094, 21093, 21091])).
% 7.68/5.83 tff(21096,plain,
% 7.68/5.83 (((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | v90(constB181, bitIndex1) | (~v90(constB180, bitIndex1))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21097,plain,
% 7.68/5.83 (v90(constB181, bitIndex1)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21096, 21095, 21081])).
% 7.68/5.83 tff(21098,plain,
% 7.68/5.83 ((v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex0))) | (~v90(constB181, bitIndex1))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21099,plain,
% 7.68/5.83 (v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex0))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21098, 21097])).
% 7.68/5.83 tff(21100,plain,
% 7.68/5.83 ((~(v124(constB181) <=> (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex0)))))) | (~v124(constB181)) | (~(v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)) | (~v90(constB181, bitIndex0))))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21101,plain,
% 7.68/5.83 (~v124(constB181)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21100, 21099, 21079])).
% 7.68/5.83 tff(21102,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex2))))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21103,plain,
% 7.68/5.83 ((v123(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2))))) <=> (v123(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex2)))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21104,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex2))))))),
% 7.68/5.83 inference(monotonicity,[status(thm)],[21103])).
% 7.68/5.83 tff(21105,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex2))))))),
% 7.68/5.83 inference(transitivity,[status(thm)],[21104, 21102])).
% 7.68/5.83 tff(21106,plain,
% 7.68/5.83 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex1) | (~v90(constB181, bitIndex2)))))),
% 7.68/5.83 inference(quant_inst,[status(thm)],[])).
% 7.68/5.83 tff(21107,plain,
% 7.68/5.83 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex2)))))),
% 7.68/5.83 inference(modus_ponens,[status(thm)],[21106, 21105])).
% 7.68/5.83 tff(21108,plain,
% 7.68/5.83 (v123(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex2))))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21107, 880])).
% 7.68/5.83 tff(21109,plain,
% 7.68/5.83 ((v90(constB181, bitIndex1) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex2))) | (~v90(constB181, bitIndex1))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21110,plain,
% 7.68/5.83 (v90(constB181, bitIndex1) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex2))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21109, 21097])).
% 7.68/5.83 tff(21111,plain,
% 7.68/5.83 ((~(v123(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex2)))))) | (~v123(constB181)) | (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex2))))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21112,plain,
% 7.68/5.83 (~v123(constB181)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21111, 21110, 21108])).
% 7.68/5.83 tff(21113,plain,
% 7.68/5.83 (((~![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))))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21114,plain,
% 7.68/5.83 ((v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1))))) <=> (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21115,plain,
% 7.68/5.83 (((~![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))))))),
% 7.68/5.83 inference(monotonicity,[status(thm)],[21114])).
% 7.68/5.83 tff(21116,plain,
% 7.68/5.83 (((~![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))))))),
% 7.68/5.83 inference(transitivity,[status(thm)],[21115, 21113])).
% 7.68/5.83 tff(21117,plain,
% 7.68/5.83 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)))))),
% 7.68/5.83 inference(quant_inst,[status(thm)],[])).
% 7.68/5.83 tff(21118,plain,
% 7.68/5.83 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))),
% 7.68/5.83 inference(modus_ponens,[status(thm)],[21117, 21116])).
% 7.68/5.83 tff(21119,plain,
% 7.68/5.83 (v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21118, 959])).
% 7.68/5.83 tff(21120,plain,
% 7.68/5.83 ((v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))) | (~v90(constB181, bitIndex2))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21121,plain,
% 7.68/5.83 (v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21120, 21068])).
% 7.68/5.83 tff(21122,plain,
% 7.68/5.83 ((~(v122(constB181) <=> (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0)))))) | (~v122(constB181)) | (~(v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex0))))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21123,plain,
% 7.68/5.83 (~v122(constB181)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21122, 21121, 21119])).
% 7.68/5.83 tff(21124,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1))))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21125,plain,
% 7.68/5.83 ((v121(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1))))) <=> (v121(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21126,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1))))))),
% 7.68/5.83 inference(monotonicity,[status(thm)],[21125])).
% 7.68/5.83 tff(21127,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1))))))),
% 7.68/5.83 inference(transitivity,[status(thm)],[21126, 21124])).
% 7.68/5.83 tff(21128,plain,
% 7.68/5.83 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex0) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex1)))))),
% 7.68/5.83 inference(quant_inst,[status(thm)],[])).
% 7.68/5.83 tff(21129,plain,
% 7.68/5.83 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)))))),
% 7.68/5.83 inference(modus_ponens,[status(thm)],[21128, 21127])).
% 7.68/5.83 tff(21130,plain,
% 7.68/5.83 (v121(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1))))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21129, 574])).
% 7.68/5.83 tff(21131,plain,
% 7.68/5.83 ((v90(constB181, bitIndex2) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1))) | (~v90(constB181, bitIndex2))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21132,plain,
% 7.68/5.83 (v90(constB181, bitIndex2) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21131, 21068])).
% 7.68/5.83 tff(21133,plain,
% 7.68/5.83 ((~(v121(constB181) <=> (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)))))) | (~v121(constB181)) | (~(v90(constB181, bitIndex2) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1))))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21134,plain,
% 7.68/5.83 (~v121(constB181)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21133, 21132, 21130])).
% 7.68/5.83 tff(21135,plain,
% 7.68/5.83 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)))))),
% 7.68/5.83 inference(quant_inst,[status(thm)],[])).
% 7.68/5.83 tff(21136,plain,
% 7.68/5.83 (v120(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0))))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21135, 653])).
% 7.68/5.83 tff(21137,plain,
% 7.68/5.83 ((v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0))) | (~v90(constB181, bitIndex2))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21138,plain,
% 7.68/5.83 (v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21137, 21068])).
% 7.68/5.83 tff(21139,plain,
% 7.68/5.83 ((~(v120(constB181) <=> (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0)))))) | (~v120(constB181)) | (~(v90(constB181, bitIndex1) | v90(constB181, bitIndex2) | (~v90(constB181, bitIndex0))))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21140,plain,
% 7.68/5.83 (~v120(constB181)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21139, 21138, 21136])).
% 7.68/5.83 tff(21141,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, 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(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0)))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21142,plain,
% 7.68/5.83 ((v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0))))) <=> (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0)))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21143,plain,
% 7.68/5.83 ((~(v130(constB181, bitIndex1) | v130(constB181, bitIndex2) | (~v130(constB181, bitIndex0)))) <=> (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21144,plain,
% 7.68/5.83 ((v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex2) | (~v130(constB181, bitIndex0))))) <=> (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0)))))),
% 7.68/5.83 inference(monotonicity,[status(thm)],[21143])).
% 7.68/5.83 tff(21145,plain,
% 7.68/5.83 ((v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex2) | (~v130(constB181, bitIndex0))))) <=> (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0)))))),
% 7.68/5.83 inference(transitivity,[status(thm)],[21144, 21142])).
% 7.68/5.83 tff(21146,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex2) | (~v130(constB181, 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(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0))))))),
% 7.68/5.83 inference(monotonicity,[status(thm)],[21145])).
% 7.68/5.83 tff(21147,plain,
% 7.68/5.83 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex2) | (~v130(constB181, 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(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0)))))),
% 7.68/5.83 inference(transitivity,[status(thm)],[21146, 21141])).
% 7.68/5.83 tff(21148,plain,
% 7.68/5.83 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB181) | v123(constB181) | v122(constB181) | v121(constB181) | v120(constB181) | v119(constB181) | (~(v130(constB181, bitIndex1) | v130(constB181, bitIndex2) | (~v130(constB181, bitIndex0)))))),
% 7.68/5.83 inference(quant_inst,[status(thm)],[])).
% 7.68/5.83 tff(21149,plain,
% 7.68/5.83 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0))))),
% 7.68/5.83 inference(modus_ponens,[status(thm)],[21148, 21147])).
% 7.68/5.83 tff(21150,plain,
% 7.68/5.83 (v119(constB181) | v120(constB181) | v121(constB181) | v122(constB181) | v123(constB181) | v124(constB181) | (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0))))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21149, 5057])).
% 7.68/5.83 tff(21151,plain,
% 7.68/5.83 (~(v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0)))),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21150, 21140, 21134, 21123, 21112, 21101, 21072])).
% 7.68/5.83 tff(21152,plain,
% 7.68/5.83 ((v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0))) | (~v130(constB181, bitIndex2))),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21153,plain,
% 7.68/5.83 (~v130(constB181, bitIndex2)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21152, 21151])).
% 7.68/5.83 tff(21154,plain,
% 7.68/5.83 (((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | (~v127(constB181, bitIndex2)) | v130(constB181, bitIndex2)),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21155,plain,
% 7.68/5.83 (~v127(constB181, bitIndex2)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21154, 21153, 12564])).
% 7.68/5.83 tff(21156,plain,
% 7.68/5.83 (((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | (~v129(constB182, bitIndex2)) | v127(constB181, bitIndex2)),
% 7.68/5.83 inference(tautology,[status(thm)],[])).
% 7.68/5.83 tff(21157,plain,
% 7.68/5.83 (~v129(constB182, bitIndex2)),
% 7.68/5.83 inference(unit_resolution,[status(thm)],[21156, 21155, 12550])).
% 7.68/5.83 tff(21158,plain,
% 7.68/5.83 (((~![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))))))),
% 7.68/5.83 inference(rewrite,[status(thm)],[])).
% 7.68/5.83 tff(21159,plain,
% 7.68/5.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))))),
% 7.68/5.83 inference(quant_inst,[status(thm)],[])).
% 7.68/5.83 tff(21160,plain,
% 7.68/5.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB181, constB182)) | (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))),
% 7.68/5.84 inference(modus_ponens,[status(thm)],[21159, 21158])).
% 7.68/5.84 tff(21161,plain,
% 7.68/5.84 (v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182))))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21160, 12544, 433])).
% 7.68/5.84 tff(21162,plain,
% 7.68/5.84 (((~![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))))))),
% 7.68/5.84 inference(rewrite,[status(thm)],[])).
% 7.68/5.84 tff(21163,plain,
% 7.68/5.84 (((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182)))))) <=> ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))))),
% 7.68/5.84 inference(rewrite,[status(thm)],[])).
% 7.68/5.84 tff(21164,plain,
% 7.68/5.84 (((~![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)))))))),
% 7.68/5.84 inference(monotonicity,[status(thm)],[21163])).
% 7.68/5.84 tff(21165,plain,
% 7.68/5.84 (((~![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))))))),
% 7.68/5.84 inference(transitivity,[status(thm)],[21164, 21162])).
% 7.68/5.84 tff(21166,plain,
% 7.68/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v102(constB182)) | (~v1(constB182))))))),
% 7.68/5.84 inference(quant_inst,[status(thm)],[])).
% 7.68/5.84 tff(21167,plain,
% 7.68/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))),
% 7.68/5.84 inference(modus_ponens,[status(thm)],[21166, 21165])).
% 7.68/5.84 tff(21168,plain,
% 7.68/5.84 (v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182))))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21167, 12544, 453])).
% 7.68/5.84 tff(21169,plain,
% 7.68/5.84 (((~![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)))),
% 7.68/5.84 inference(rewrite,[status(thm)],[])).
% 7.68/5.84 tff(21170,plain,
% 7.68/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182)))),
% 7.68/5.84 inference(quant_inst,[status(thm)],[])).
% 7.68/5.84 tff(21171,plain,
% 7.68/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB181, constB182)) | ((~v102(constB182)) <=> v104(constB182))),
% 7.68/5.84 inference(modus_ponens,[status(thm)],[21170, 21169])).
% 7.68/5.84 tff(21172,plain,
% 7.68/5.84 ((~v102(constB182)) <=> v104(constB182)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21171, 12544, 3966])).
% 7.68/5.84 tff(21173,plain,
% 7.68/5.84 (((~![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)))),
% 7.68/5.84 inference(rewrite,[status(thm)],[])).
% 7.68/5.84 tff(21174,plain,
% 7.68/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181)))),
% 7.68/5.84 inference(quant_inst,[status(thm)],[])).
% 7.68/5.84 tff(21175,plain,
% 7.68/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v1(constB181))),
% 7.68/5.84 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 7.68/5.84 tff(21176,plain,
% 7.68/5.84 (v104(constB182) <=> v1(constB181)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21175, 12544, 3980])).
% 7.68/5.84 tff(21177,plain,
% 7.68/5.84 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182)) | v1(constB181)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21178,plain,
% 7.68/5.84 ((~(v104(constB182) <=> v1(constB181))) | (~v104(constB182))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21177, 12583])).
% 7.68/5.84 tff(21179,plain,
% 7.68/5.84 (~v104(constB182)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21178, 21176])).
% 7.68/5.84 tff(21180,plain,
% 7.68/5.84 ((~((~v102(constB182)) <=> v104(constB182))) | v102(constB182) | v104(constB182)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21181,plain,
% 7.68/5.84 (v102(constB182)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21180, 21179, 21172])).
% 7.68/5.84 tff(21182,plain,
% 7.68/5.84 (v1(constB182) <=> v1(constB182)),
% 7.68/5.84 inference(rewrite,[status(thm)],[])).
% 7.68/5.84 tff(21183,axiom,(v1(constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_182')).
% 7.68/5.84 tff(21184,plain,
% 7.68/5.84 (v1(constB182)),
% 7.68/5.84 inference(modus_ponens,[status(thm)],[21183, 21182])).
% 7.68/5.84 tff(21185,plain,
% 7.68/5.84 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v1(constB182)) | (~v102(constB182))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21186,plain,
% 7.68/5.84 ((~((~v1(constB182)) | (~v102(constB182)))) | (~v102(constB182))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21185, 21184])).
% 7.68/5.84 tff(21187,plain,
% 7.68/5.84 (~((~v1(constB182)) | (~v102(constB182)))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21186, 21181])).
% 7.68/5.84 tff(21188,plain,
% 7.68/5.84 ((~(v101(constB182) <=> (~((~v1(constB182)) | (~v102(constB182)))))) | v101(constB182) | ((~v1(constB182)) | (~v102(constB182)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21189,plain,
% 7.68/5.84 (v101(constB182)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21188, 21187, 21168])).
% 7.68/5.84 tff(21190,plain,
% 7.68/5.84 (((~![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)))),
% 7.68/5.84 inference(rewrite,[status(thm)],[])).
% 7.68/5.84 tff(21191,plain,
% 7.68/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181)))),
% 7.68/5.84 inference(quant_inst,[status(thm)],[])).
% 7.68/5.84 tff(21192,plain,
% 7.68/5.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB181, constB182)) | (v110(constB182) <=> v108(constB181))),
% 7.68/5.84 inference(modus_ponens,[status(thm)],[21191, 21190])).
% 7.68/5.84 tff(21193,plain,
% 7.68/5.84 (v110(constB182) <=> v108(constB181)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21192, 12544, 4007])).
% 7.68/5.84 tff(21194,plain,
% 7.68/5.84 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB181) <=> (v111(constB181) | v112(constB181)))),
% 7.68/5.84 inference(quant_inst,[status(thm)],[])).
% 7.68/5.84 tff(21195,plain,
% 7.68/5.84 (v108(constB181) <=> (v111(constB181) | v112(constB181))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21194, 4018])).
% 7.68/5.84 tff(21196,plain,
% 7.68/5.84 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))),
% 7.68/5.84 inference(quant_inst,[status(thm)],[])).
% 7.68/5.84 tff(21197,plain,
% 7.68/5.84 (v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181))))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21196, 4030])).
% 7.68/5.84 tff(21198,plain,
% 7.68/5.84 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB181) <=> (v114(constB181) | v125(constB181)))),
% 7.68/5.84 inference(quant_inst,[status(thm)],[])).
% 7.68/5.84 tff(21199,plain,
% 7.68/5.84 (v113(constB181) <=> (v114(constB181) | v125(constB181))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21198, 4039])).
% 7.68/5.84 tff(21200,plain,
% 7.68/5.84 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB181) <=> (~(v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)))))),
% 7.68/5.84 inference(quant_inst,[status(thm)],[])).
% 7.68/5.84 tff(21201,plain,
% 7.68/5.84 (v125(constB181) <=> (~(v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2))))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21200, 5129])).
% 7.68/5.84 tff(21202,plain,
% 7.68/5.84 ((((~v90(constB181, bitIndex1)) <=> v90(constB180, bitIndex1)) | ((~v90(constB181, bitIndex2)) <=> v90(constB180, bitIndex2)) | ((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))) | (~((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21203,plain,
% 7.68/5.84 (~((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21202, 12600])).
% 7.68/5.84 tff(21204,plain,
% 7.68/5.84 ((((~v129(constB180, bitIndex2)) <=> v127(constB179, bitIndex2)) | ((~v129(constB180, bitIndex1)) <=> v127(constB179, bitIndex1)) | ((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0))) | (~((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21205,plain,
% 7.68/5.84 (~((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21204, 12609])).
% 7.68/5.84 tff(21206,plain,
% 7.68/5.84 ((((~v127(constB179, bitIndex2)) <=> v130(constB179, bitIndex2)) | ((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)) | ((~v127(constB179, bitIndex1)) <=> v130(constB179, bitIndex1))) | (~((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21207,plain,
% 7.68/5.84 (~((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21206, 12623])).
% 7.68/5.84 tff(21208,plain,
% 7.68/5.84 ((v130(constB179, bitIndex0) | (~v130(constB179, bitIndex2)) | (~v130(constB179, bitIndex1))) | (~v130(constB179, bitIndex0))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21209,plain,
% 7.68/5.84 (~v130(constB179, bitIndex0)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21208, 20979])).
% 7.68/5.84 tff(21210,plain,
% 7.68/5.84 (((~v127(constB179, bitIndex0)) <=> v130(constB179, bitIndex0)) | (~v127(constB179, bitIndex0)) | v130(constB179, bitIndex0)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21211,plain,
% 7.68/5.84 (~v127(constB179, bitIndex0)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21210, 21209, 21207])).
% 7.68/5.84 tff(21212,plain,
% 7.68/5.84 (((~v129(constB180, bitIndex0)) <=> v127(constB179, bitIndex0)) | (~v129(constB180, bitIndex0)) | v127(constB179, bitIndex0)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21213,plain,
% 7.68/5.84 (~v129(constB180, bitIndex0)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21212, 21211, 21205])).
% 7.68/5.84 tff(21214,plain,
% 7.68/5.84 ((((~v90(constB180, bitIndex2)) <=> v129(constB180, bitIndex2)) | ((~v90(constB180, bitIndex1)) <=> v129(constB180, bitIndex1)) | ((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0))) | (~((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21215,plain,
% 7.68/5.84 (~((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21214, 21062])).
% 7.68/5.84 tff(21216,plain,
% 7.68/5.84 (((~v90(constB180, bitIndex0)) <=> v129(constB180, bitIndex0)) | (~v90(constB180, bitIndex0)) | v129(constB180, bitIndex0)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21217,plain,
% 7.68/5.84 (~v90(constB180, bitIndex0)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21216, 21215, 21213])).
% 7.68/5.84 tff(21218,plain,
% 7.68/5.84 (((~v90(constB181, bitIndex0)) <=> v90(constB180, bitIndex0)) | (~v90(constB181, bitIndex0)) | v90(constB180, bitIndex0)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21219,plain,
% 7.68/5.84 (~v90(constB181, bitIndex0)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21218, 21217, 21203])).
% 7.68/5.84 tff(21220,plain,
% 7.68/5.84 ((~(v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)))) | v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21221,plain,
% 7.68/5.84 (~(v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21220, 21097, 21219, 21068])).
% 7.68/5.84 tff(21222,plain,
% 7.68/5.84 ((~(v125(constB181) <=> (~(v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)))))) | v125(constB181) | (v90(constB181, bitIndex0) | (~v90(constB181, bitIndex1)) | (~v90(constB181, bitIndex2)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21223,plain,
% 7.68/5.84 (v125(constB181)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21222, 21221, 21201])).
% 7.68/5.84 tff(21224,plain,
% 7.68/5.84 ((v114(constB181) | v125(constB181)) | (~v125(constB181))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21225,plain,
% 7.68/5.84 (v114(constB181) | v125(constB181)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21224, 21223])).
% 7.68/5.84 tff(21226,plain,
% 7.68/5.84 ((~(v113(constB181) <=> (v114(constB181) | v125(constB181)))) | v113(constB181) | (~(v114(constB181) | v125(constB181)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21227,plain,
% 7.68/5.84 (v113(constB181)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21226, 21225, 21199])).
% 7.68/5.84 tff(21228,plain,
% 7.68/5.84 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB181)) <=> v111(constB181))),
% 7.68/5.84 inference(quant_inst,[status(thm)],[])).
% 7.68/5.84 tff(21229,plain,
% 7.68/5.84 ((~v126(constB181)) <=> v111(constB181)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21228, 4118])).
% 7.68/5.84 tff(21230,plain,
% 7.68/5.84 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181) | v111(constB181)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21231,plain,
% 7.68/5.84 ((~((~v126(constB181)) <=> v111(constB181))) | v126(constB181)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21230, 12557])).
% 7.68/5.84 tff(21232,plain,
% 7.68/5.84 (v126(constB181)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21231, 21229])).
% 7.68/5.84 tff(21233,plain,
% 7.68/5.84 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181)) | (~v126(constB181))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21234,plain,
% 7.68/5.84 ((~((~v113(constB181)) | (~v126(constB181)))) | (~v113(constB181))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21233, 21232])).
% 7.68/5.84 tff(21235,plain,
% 7.68/5.84 (~((~v113(constB181)) | (~v126(constB181)))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21234, 21227])).
% 7.68/5.84 tff(21236,plain,
% 7.68/5.84 ((~(v112(constB181) <=> (~((~v113(constB181)) | (~v126(constB181)))))) | v112(constB181) | ((~v113(constB181)) | (~v126(constB181)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21237,plain,
% 7.68/5.84 (v112(constB181)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21236, 21235, 21197])).
% 7.68/5.84 tff(21238,plain,
% 7.68/5.84 ((v111(constB181) | v112(constB181)) | (~v112(constB181))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21239,plain,
% 7.68/5.84 (v111(constB181) | v112(constB181)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21238, 21237])).
% 7.68/5.84 tff(21240,plain,
% 7.68/5.84 ((~(v108(constB181) <=> (v111(constB181) | v112(constB181)))) | v108(constB181) | (~(v111(constB181) | v112(constB181)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21241,plain,
% 7.68/5.84 (v108(constB181)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21240, 21239, 21195])).
% 7.68/5.84 tff(21242,plain,
% 7.68/5.84 ((~(v110(constB182) <=> v108(constB181))) | v110(constB182) | (~v108(constB181))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21243,plain,
% 7.68/5.84 (v110(constB182)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21242, 21241, 21193])).
% 7.68/5.84 tff(21244,plain,
% 7.68/5.84 ((~((~v101(constB182)) | (~v110(constB182)))) | (~v101(constB182)) | (~v110(constB182))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21245,plain,
% 7.68/5.84 (~((~v101(constB182)) | (~v110(constB182)))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21244, 21243, 21189])).
% 7.68/5.84 tff(21246,plain,
% 7.68/5.84 ((~(v100(constB182) <=> (~((~v101(constB182)) | (~v110(constB182)))))) | v100(constB182) | ((~v101(constB182)) | (~v110(constB182)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21247,plain,
% 7.68/5.84 (v100(constB182)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21246, 21245, 21161])).
% 7.68/5.84 tff(21248,plain,
% 7.68/5.84 (((~![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)))))),
% 7.68/5.84 inference(rewrite,[status(thm)],[])).
% 7.68/5.84 tff(21249,plain,
% 7.68/5.84 (((~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)))))),
% 7.68/5.84 inference(rewrite,[status(thm)],[])).
% 7.68/5.84 tff(21250,plain,
% 7.68/5.84 (((~![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))))))),
% 7.68/5.84 inference(monotonicity,[status(thm)],[21249])).
% 7.68/5.84 tff(21251,plain,
% 7.68/5.84 (((~![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)))))),
% 7.68/5.84 inference(transitivity,[status(thm)],[21250, 21248])).
% 7.68/5.84 tff(21252,plain,
% 7.68/5.84 ((~![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)))))),
% 7.68/5.84 inference(quant_inst,[status(thm)],[])).
% 7.68/5.84 tff(21253,plain,
% 7.68/5.84 ((~![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))))),
% 7.68/5.84 inference(modus_ponens,[status(thm)],[21252, 21251])).
% 7.68/5.84 tff(21254,plain,
% 7.68/5.84 ((~v100(constB182)) | (~(((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21253, 4151])).
% 7.68/5.84 tff(21255,plain,
% 7.68/5.84 (~(((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21254, 21247])).
% 7.68/5.84 tff(21256,plain,
% 7.68/5.84 ((((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))) | (~((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21257,plain,
% 7.68/5.84 (~((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21256, 21255])).
% 7.68/5.84 tff(21258,plain,
% 7.68/5.84 (((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | (~v90(constB182, bitIndex2)) | v129(constB182, bitIndex2)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21259,plain,
% 7.68/5.84 (~v90(constB182, bitIndex2)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21258, 21257, 21157])).
% 7.68/5.84 tff(21260,plain,
% 7.68/5.84 (((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | (~v90(constB183, bitIndex2)) | v90(constB182, bitIndex2)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21261,plain,
% 7.68/5.84 (~v90(constB183, bitIndex2)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21260, 21259, 12541])).
% 7.68/5.84 tff(21262,plain,
% 7.68/5.84 ((((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))) | (~((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21263,plain,
% 7.68/5.84 (~((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21262, 12539])).
% 7.68/5.84 tff(21264,plain,
% 7.68/5.84 ((((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0))) | (~((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21265,plain,
% 7.68/5.84 (~((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21264, 12548])).
% 7.68/5.84 tff(21266,plain,
% 7.68/5.84 ((((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1))) | (~((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21267,plain,
% 7.68/5.84 (~((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21266, 12562])).
% 7.68/5.84 tff(21268,plain,
% 7.68/5.84 ((v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0))) | v130(constB181, bitIndex0)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21269,plain,
% 7.68/5.84 (v130(constB181, bitIndex0)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21268, 21151])).
% 7.68/5.84 tff(21270,plain,
% 7.68/5.84 (((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)) | v127(constB181, bitIndex0) | (~v130(constB181, bitIndex0))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21271,plain,
% 7.68/5.84 (v127(constB181, bitIndex0)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21270, 21269, 21267])).
% 7.68/5.84 tff(21272,plain,
% 7.68/5.84 (((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0)) | v129(constB182, bitIndex0) | (~v127(constB181, bitIndex0))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21273,plain,
% 7.68/5.84 (v129(constB182, bitIndex0)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21272, 21271, 21265])).
% 7.68/5.84 tff(21274,plain,
% 7.68/5.84 ((((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))) | (~((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21275,plain,
% 7.68/5.84 (~((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21274, 21255])).
% 7.68/5.84 tff(21276,plain,
% 7.68/5.84 (((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | v90(constB182, bitIndex0) | (~v129(constB182, bitIndex0))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21277,plain,
% 7.68/5.84 (v90(constB182, bitIndex0)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21276, 21275, 21273])).
% 7.68/5.84 tff(21278,plain,
% 7.68/5.84 (((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0)) | v90(constB183, bitIndex0) | (~v90(constB182, bitIndex0))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21279,plain,
% 7.68/5.84 (v90(constB183, bitIndex0)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21278, 21277, 21263])).
% 7.68/5.84 tff(21280,plain,
% 7.68/5.84 ((((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | ((~v90(constB183, bitIndex2)) <=> v90(constB182, bitIndex2)) | ((~v90(constB183, bitIndex0)) <=> v90(constB182, bitIndex0))) | (~((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21281,plain,
% 7.68/5.84 (~((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21280, 12539])).
% 7.68/5.84 tff(21282,plain,
% 7.68/5.84 ((((~v129(constB182, bitIndex2)) <=> v127(constB181, bitIndex2)) | ((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | ((~v129(constB182, bitIndex0)) <=> v127(constB181, bitIndex0))) | (~((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21283,plain,
% 7.68/5.84 (~((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21282, 12548])).
% 7.68/5.84 tff(21284,plain,
% 7.68/5.84 ((((~v127(constB181, bitIndex2)) <=> v130(constB181, bitIndex2)) | ((~v127(constB181, bitIndex0)) <=> v130(constB181, bitIndex0)) | ((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1))) | (~((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21285,plain,
% 7.68/5.84 (~((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21284, 12562])).
% 7.68/5.84 tff(21286,plain,
% 7.68/5.84 ((v130(constB181, bitIndex2) | v130(constB181, bitIndex1) | (~v130(constB181, bitIndex0))) | (~v130(constB181, bitIndex1))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21287,plain,
% 7.68/5.84 (~v130(constB181, bitIndex1)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21286, 21151])).
% 7.68/5.84 tff(21288,plain,
% 7.68/5.84 (((~v127(constB181, bitIndex1)) <=> v130(constB181, bitIndex1)) | (~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21289,plain,
% 7.68/5.84 (~v127(constB181, bitIndex1)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21288, 21287, 21285])).
% 7.68/5.84 tff(21290,plain,
% 7.68/5.84 (((~v129(constB182, bitIndex1)) <=> v127(constB181, bitIndex1)) | (~v129(constB182, bitIndex1)) | v127(constB181, bitIndex1)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21291,plain,
% 7.68/5.84 (~v129(constB182, bitIndex1)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21290, 21289, 21283])).
% 7.68/5.84 tff(21292,plain,
% 7.68/5.84 ((((~v90(constB182, bitIndex0)) <=> v129(constB182, bitIndex0)) | ((~v90(constB182, bitIndex2)) <=> v129(constB182, bitIndex2)) | ((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))) | (~((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21293,plain,
% 7.68/5.84 (~((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21292, 21255])).
% 7.68/5.84 tff(21294,plain,
% 7.68/5.84 (((~v90(constB182, bitIndex1)) <=> v129(constB182, bitIndex1)) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21295,plain,
% 7.68/5.84 (~v90(constB182, bitIndex1)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21294, 21293, 21291])).
% 7.68/5.84 tff(21296,plain,
% 7.68/5.84 (((~v90(constB183, bitIndex1)) <=> v90(constB182, bitIndex1)) | (~v90(constB183, bitIndex1)) | v90(constB182, bitIndex1)),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21297,plain,
% 7.68/5.84 (~v90(constB183, bitIndex1)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21296, 21295, 21281])).
% 7.68/5.84 tff(21298,plain,
% 7.68/5.84 ((~(v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0)))) | v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21299,plain,
% 7.68/5.84 (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0)))),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21298, 21297, 21279, 21261])).
% 7.68/5.84 tff(21300,plain,
% 7.68/5.84 ((~(v120(constB183) <=> (~(v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0)))))) | v120(constB183) | (v90(constB183, bitIndex1) | v90(constB183, bitIndex2) | (~v90(constB183, bitIndex0)))),
% 7.68/5.84 inference(tautology,[status(thm)],[])).
% 7.68/5.84 tff(21301,plain,
% 7.68/5.84 (v120(constB183)),
% 7.68/5.84 inference(unit_resolution,[status(thm)],[21300, 21299, 12505])).
% 7.68/5.84 tff(21302,plain,
% 7.68/5.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB183)) | (~(v130(constB183, bitIndex2) | v130(constB183, bitIndex0) | (~v130(constB183, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB183)) | (~(v130(constB183, bitIndex2) | v130(constB183, bitIndex0) | (~v130(constB183, bitIndex1)))))),
% 7.68/5.84 inference(rewrite,[status(thm)],[])).
% 7.68/5.84 tff(21303,plain,
% 7.68/5.84 (((~v120(constB183)) | (~(v130(constB183, bitIndex0) | v130(constB183, bitIndex2) | (~v130(constB183, bitIndex1))))) <=> ((~v120(constB183)) | (~(v130(constB183, bitIndex2) | v130(constB183, bitIndex0) | (~v130(constB183, bitIndex1)))))),
% 7.68/5.84 inference(rewrite,[status(thm)],[])).
% 7.68/5.84 tff(21304,plain,
% 7.68/5.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB183)) | (~(v130(constB183, bitIndex0) | v130(constB183, bitIndex2) | (~v130(constB183, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB183)) | (~(v130(constB183, bitIndex2) | v130(constB183, bitIndex0) | (~v130(constB183, bitIndex1))))))),
% 7.68/5.84 inference(monotonicity,[status(thm)],[21303])).
% 7.68/5.84 tff(21305,plain,
% 7.68/5.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB183)) | (~(v130(constB183, bitIndex0) | v130(constB183, bitIndex2) | (~v130(constB183, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB183)) | (~(v130(constB183, bitIndex2) | v130(constB183, bitIndex0) | (~v130(constB183, bitIndex1)))))),
% 7.68/5.85 inference(transitivity,[status(thm)],[21304, 21302])).
% 7.68/5.85 tff(21306,plain,
% 7.68/5.85 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB183)) | (~(v130(constB183, bitIndex0) | v130(constB183, bitIndex2) | (~v130(constB183, bitIndex1)))))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21307,plain,
% 7.68/5.85 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB183)) | (~(v130(constB183, bitIndex2) | v130(constB183, bitIndex0) | (~v130(constB183, bitIndex1))))),
% 7.68/5.85 inference(modus_ponens,[status(thm)],[21306, 21305])).
% 7.68/5.85 tff(21308,plain,
% 7.68/5.85 ((~v120(constB183)) | (~(v130(constB183, bitIndex2) | v130(constB183, bitIndex0) | (~v130(constB183, bitIndex1))))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21307, 4218])).
% 7.68/5.85 tff(21309,plain,
% 7.68/5.85 (~(v130(constB183, bitIndex2) | v130(constB183, bitIndex0) | (~v130(constB183, bitIndex1)))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21308, 21301])).
% 7.68/5.85 tff(21310,plain,
% 7.68/5.85 ((v130(constB183, bitIndex2) | v130(constB183, bitIndex0) | (~v130(constB183, bitIndex1))) | (~v130(constB183, bitIndex2))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21311,plain,
% 7.68/5.85 (~v130(constB183, bitIndex2)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21310, 21309])).
% 7.68/5.85 tff(21312,plain,
% 7.68/5.85 (((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | (~v127(constB183, bitIndex2)) | v130(constB183, bitIndex2)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21313,plain,
% 7.68/5.85 (~v127(constB183, bitIndex2)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21312, 21311, 12503])).
% 7.68/5.85 tff(21314,plain,
% 7.68/5.85 (((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | (~v129(constB184, bitIndex2)) | v127(constB183, bitIndex2)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21315,plain,
% 7.68/5.85 (~v129(constB184, bitIndex2)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21314, 21313, 12489])).
% 7.68/5.85 tff(21316,plain,
% 7.68/5.85 (((~![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))))))),
% 7.68/5.85 inference(rewrite,[status(thm)],[])).
% 7.68/5.85 tff(21317,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21318,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB183, constB184)) | (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))),
% 7.68/5.85 inference(modus_ponens,[status(thm)],[21317, 21316])).
% 7.68/5.85 tff(21319,plain,
% 7.68/5.85 (v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184))))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21318, 12483, 433])).
% 7.68/5.85 tff(21320,plain,
% 7.68/5.85 (((~![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))))))),
% 7.68/5.85 inference(rewrite,[status(thm)],[])).
% 7.68/5.85 tff(21321,plain,
% 7.68/5.85 (((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184)))))) <=> ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))))),
% 7.68/5.85 inference(rewrite,[status(thm)],[])).
% 7.68/5.85 tff(21322,plain,
% 7.68/5.85 (((~![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)))))))),
% 7.68/5.85 inference(monotonicity,[status(thm)],[21321])).
% 7.68/5.85 tff(21323,plain,
% 7.68/5.85 (((~![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))))))),
% 7.68/5.85 inference(transitivity,[status(thm)],[21322, 21320])).
% 7.68/5.85 tff(21324,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v102(constB184)) | (~v1(constB184))))))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21325,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))),
% 7.68/5.85 inference(modus_ponens,[status(thm)],[21324, 21323])).
% 7.68/5.85 tff(21326,plain,
% 7.68/5.85 (v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184))))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21325, 12483, 453])).
% 7.68/5.85 tff(21327,plain,
% 7.68/5.85 (((~![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)))),
% 7.68/5.85 inference(rewrite,[status(thm)],[])).
% 7.68/5.85 tff(21328,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184)))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21329,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB183, constB184)) | ((~v102(constB184)) <=> v104(constB184))),
% 7.68/5.85 inference(modus_ponens,[status(thm)],[21328, 21327])).
% 7.68/5.85 tff(21330,plain,
% 7.68/5.85 ((~v102(constB184)) <=> v104(constB184)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21329, 12483, 3966])).
% 7.68/5.85 tff(21331,plain,
% 7.68/5.85 (((~![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)))),
% 7.68/5.85 inference(rewrite,[status(thm)],[])).
% 7.68/5.85 tff(21332,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183)))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21333,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v1(constB183))),
% 7.68/5.85 inference(modus_ponens,[status(thm)],[21332, 21331])).
% 7.68/5.85 tff(21334,plain,
% 7.68/5.85 (v104(constB184) <=> v1(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21333, 12483, 3980])).
% 7.68/5.85 tff(21335,plain,
% 7.68/5.85 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184)) | v1(constB183)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21336,plain,
% 7.68/5.85 ((~(v104(constB184) <=> v1(constB183))) | (~v104(constB184))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21335, 12522])).
% 7.68/5.85 tff(21337,plain,
% 7.68/5.85 (~v104(constB184)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21336, 21334])).
% 7.68/5.85 tff(21338,plain,
% 7.68/5.85 ((~((~v102(constB184)) <=> v104(constB184))) | v102(constB184) | v104(constB184)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21339,plain,
% 7.68/5.85 (v102(constB184)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21338, 21337, 21330])).
% 7.68/5.85 tff(21340,plain,
% 7.68/5.85 (v1(constB184) <=> v1(constB184)),
% 7.68/5.85 inference(rewrite,[status(thm)],[])).
% 7.68/5.85 tff(21341,axiom,(v1(constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_184')).
% 7.68/5.85 tff(21342,plain,
% 7.68/5.85 (v1(constB184)),
% 7.68/5.85 inference(modus_ponens,[status(thm)],[21341, 21340])).
% 7.68/5.85 tff(21343,plain,
% 7.68/5.85 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v1(constB184)) | (~v102(constB184))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21344,plain,
% 7.68/5.85 ((~((~v1(constB184)) | (~v102(constB184)))) | (~v102(constB184))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21343, 21342])).
% 7.68/5.85 tff(21345,plain,
% 7.68/5.85 (~((~v1(constB184)) | (~v102(constB184)))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21344, 21339])).
% 7.68/5.85 tff(21346,plain,
% 7.68/5.85 ((~(v101(constB184) <=> (~((~v1(constB184)) | (~v102(constB184)))))) | v101(constB184) | ((~v1(constB184)) | (~v102(constB184)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21347,plain,
% 7.68/5.85 (v101(constB184)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21346, 21345, 21326])).
% 7.68/5.85 tff(21348,plain,
% 7.68/5.85 (((~![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)))),
% 7.68/5.85 inference(rewrite,[status(thm)],[])).
% 7.68/5.85 tff(21349,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183)))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21350,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB183, constB184)) | (v110(constB184) <=> v108(constB183))),
% 7.68/5.85 inference(modus_ponens,[status(thm)],[21349, 21348])).
% 7.68/5.85 tff(21351,plain,
% 7.68/5.85 (v110(constB184) <=> v108(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21350, 12483, 4007])).
% 7.68/5.85 tff(21352,plain,
% 7.68/5.85 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB183) <=> (v111(constB183) | v112(constB183)))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21353,plain,
% 7.68/5.85 (v108(constB183) <=> (v111(constB183) | v112(constB183))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21352, 4018])).
% 7.68/5.85 tff(21354,plain,
% 7.68/5.85 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21355,plain,
% 7.68/5.85 (v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183))))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21354, 4030])).
% 7.68/5.85 tff(21356,plain,
% 7.68/5.85 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB183) <=> (v114(constB183) | v125(constB183)))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21357,plain,
% 7.68/5.85 (v113(constB183) <=> (v114(constB183) | v125(constB183))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21356, 4039])).
% 7.68/5.85 tff(21358,plain,
% 7.68/5.85 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB183) <=> (v115(constB183) | v124(constB183)))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21359,plain,
% 7.68/5.85 (v114(constB183) <=> (v115(constB183) | v124(constB183))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21358, 4048])).
% 7.68/5.85 tff(21360,plain,
% 7.68/5.85 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB183) <=> (v116(constB183) | v123(constB183)))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21361,plain,
% 7.68/5.85 (v115(constB183) <=> (v116(constB183) | v123(constB183))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21360, 4057])).
% 7.68/5.85 tff(21362,plain,
% 7.68/5.85 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB183) <=> (v117(constB183) | v122(constB183)))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21363,plain,
% 7.68/5.85 (v116(constB183) <=> (v117(constB183) | v122(constB183))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21362, 4066])).
% 7.68/5.85 tff(21364,plain,
% 7.68/5.85 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB183) <=> (v118(constB183) | v121(constB183)))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21365,plain,
% 7.68/5.85 (v117(constB183) <=> (v118(constB183) | v121(constB183))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21364, 4075])).
% 7.68/5.85 tff(21366,plain,
% 7.68/5.85 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB183) <=> (v119(constB183) | v120(constB183)))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21367,plain,
% 7.68/5.85 (v118(constB183) <=> (v119(constB183) | v120(constB183))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21366, 4084])).
% 7.68/5.85 tff(21368,plain,
% 7.68/5.85 ((v119(constB183) | v120(constB183)) | (~v120(constB183))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21369,plain,
% 7.68/5.85 (v119(constB183) | v120(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21368, 21301])).
% 7.68/5.85 tff(21370,plain,
% 7.68/5.85 ((~(v118(constB183) <=> (v119(constB183) | v120(constB183)))) | v118(constB183) | (~(v119(constB183) | v120(constB183)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21371,plain,
% 7.68/5.85 (v118(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21370, 21369, 21367])).
% 7.68/5.85 tff(21372,plain,
% 7.68/5.85 ((v118(constB183) | v121(constB183)) | (~v118(constB183))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21373,plain,
% 7.68/5.85 (v118(constB183) | v121(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21372, 21371])).
% 7.68/5.85 tff(21374,plain,
% 7.68/5.85 ((~(v117(constB183) <=> (v118(constB183) | v121(constB183)))) | v117(constB183) | (~(v118(constB183) | v121(constB183)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21375,plain,
% 7.68/5.85 (v117(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21374, 21373, 21365])).
% 7.68/5.85 tff(21376,plain,
% 7.68/5.85 ((v117(constB183) | v122(constB183)) | (~v117(constB183))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21377,plain,
% 7.68/5.85 (v117(constB183) | v122(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21376, 21375])).
% 7.68/5.85 tff(21378,plain,
% 7.68/5.85 ((~(v116(constB183) <=> (v117(constB183) | v122(constB183)))) | v116(constB183) | (~(v117(constB183) | v122(constB183)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21379,plain,
% 7.68/5.85 (v116(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21378, 21377, 21363])).
% 7.68/5.85 tff(21380,plain,
% 7.68/5.85 ((v116(constB183) | v123(constB183)) | (~v116(constB183))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21381,plain,
% 7.68/5.85 (v116(constB183) | v123(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21380, 21379])).
% 7.68/5.85 tff(21382,plain,
% 7.68/5.85 ((~(v115(constB183) <=> (v116(constB183) | v123(constB183)))) | v115(constB183) | (~(v116(constB183) | v123(constB183)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21383,plain,
% 7.68/5.85 (v115(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21382, 21381, 21361])).
% 7.68/5.85 tff(21384,plain,
% 7.68/5.85 ((v115(constB183) | v124(constB183)) | (~v115(constB183))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21385,plain,
% 7.68/5.85 (v115(constB183) | v124(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21384, 21383])).
% 7.68/5.85 tff(21386,plain,
% 7.68/5.85 ((~(v114(constB183) <=> (v115(constB183) | v124(constB183)))) | v114(constB183) | (~(v115(constB183) | v124(constB183)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21387,plain,
% 7.68/5.85 (v114(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21386, 21385, 21359])).
% 7.68/5.85 tff(21388,plain,
% 7.68/5.85 ((v114(constB183) | v125(constB183)) | (~v114(constB183))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21389,plain,
% 7.68/5.85 (v114(constB183) | v125(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21388, 21387])).
% 7.68/5.85 tff(21390,plain,
% 7.68/5.85 ((~(v113(constB183) <=> (v114(constB183) | v125(constB183)))) | v113(constB183) | (~(v114(constB183) | v125(constB183)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21391,plain,
% 7.68/5.85 (v113(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21390, 21389, 21357])).
% 7.68/5.85 tff(21392,plain,
% 7.68/5.85 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB183)) <=> v111(constB183))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21393,plain,
% 7.68/5.85 ((~v126(constB183)) <=> v111(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21392, 4118])).
% 7.68/5.85 tff(21394,plain,
% 7.68/5.85 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183) | v111(constB183)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21395,plain,
% 7.68/5.85 ((~((~v126(constB183)) <=> v111(constB183))) | v126(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21394, 12496])).
% 7.68/5.85 tff(21396,plain,
% 7.68/5.85 (v126(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21395, 21393])).
% 7.68/5.85 tff(21397,plain,
% 7.68/5.85 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183)) | (~v126(constB183))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21398,plain,
% 7.68/5.85 ((~((~v113(constB183)) | (~v126(constB183)))) | (~v113(constB183))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21397, 21396])).
% 7.68/5.85 tff(21399,plain,
% 7.68/5.85 (~((~v113(constB183)) | (~v126(constB183)))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21398, 21391])).
% 7.68/5.85 tff(21400,plain,
% 7.68/5.85 ((~(v112(constB183) <=> (~((~v113(constB183)) | (~v126(constB183)))))) | v112(constB183) | ((~v113(constB183)) | (~v126(constB183)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21401,plain,
% 7.68/5.85 (v112(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21400, 21399, 21355])).
% 7.68/5.85 tff(21402,plain,
% 7.68/5.85 ((v111(constB183) | v112(constB183)) | (~v112(constB183))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21403,plain,
% 7.68/5.85 (v111(constB183) | v112(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21402, 21401])).
% 7.68/5.85 tff(21404,plain,
% 7.68/5.85 ((~(v108(constB183) <=> (v111(constB183) | v112(constB183)))) | v108(constB183) | (~(v111(constB183) | v112(constB183)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21405,plain,
% 7.68/5.85 (v108(constB183)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21404, 21403, 21353])).
% 7.68/5.85 tff(21406,plain,
% 7.68/5.85 ((~(v110(constB184) <=> v108(constB183))) | v110(constB184) | (~v108(constB183))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21407,plain,
% 7.68/5.85 (v110(constB184)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21406, 21405, 21351])).
% 7.68/5.85 tff(21408,plain,
% 7.68/5.85 ((~((~v101(constB184)) | (~v110(constB184)))) | (~v101(constB184)) | (~v110(constB184))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21409,plain,
% 7.68/5.85 (~((~v101(constB184)) | (~v110(constB184)))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21408, 21407, 21347])).
% 7.68/5.85 tff(21410,plain,
% 7.68/5.85 ((~(v100(constB184) <=> (~((~v101(constB184)) | (~v110(constB184)))))) | v100(constB184) | ((~v101(constB184)) | (~v110(constB184)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21411,plain,
% 7.68/5.85 (v100(constB184)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21410, 21409, 21319])).
% 7.68/5.85 tff(21412,plain,
% 7.68/5.85 (((~![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)))))),
% 7.68/5.85 inference(rewrite,[status(thm)],[])).
% 7.68/5.85 tff(21413,plain,
% 7.68/5.85 ((~![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)))))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21414,plain,
% 7.68/5.85 ((~![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))))),
% 7.68/5.85 inference(modus_ponens,[status(thm)],[21413, 21412])).
% 7.68/5.85 tff(21415,plain,
% 7.68/5.85 ((~v100(constB184)) | (~(((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0))))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21414, 4151])).
% 7.68/5.85 tff(21416,plain,
% 7.68/5.85 (~(((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0)))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21415, 21411])).
% 7.68/5.85 tff(21417,plain,
% 7.68/5.85 ((((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0))) | (~((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21418,plain,
% 7.68/5.85 (~((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21417, 21416])).
% 7.68/5.85 tff(21419,plain,
% 7.68/5.85 (((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21420,plain,
% 7.68/5.85 (~v90(constB184, bitIndex2)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21419, 21418, 21315])).
% 7.68/5.85 tff(21421,plain,
% 7.68/5.85 (((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | (~v90(constB185, bitIndex2)) | v90(constB184, bitIndex2)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21422,plain,
% 7.68/5.85 (~v90(constB185, bitIndex2)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21421, 21420, 12480])).
% 7.68/5.85 tff(21423,plain,
% 7.68/5.85 ((((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))) | (~((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21424,plain,
% 7.68/5.85 (~((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21423, 12478])).
% 7.68/5.85 tff(21425,plain,
% 7.68/5.85 ((((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0))) | (~((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21426,plain,
% 7.68/5.85 (~((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21425, 12487])).
% 7.68/5.85 tff(21427,plain,
% 7.68/5.85 ((((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1))) | (~((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21428,plain,
% 7.68/5.85 (~((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21427, 12501])).
% 7.68/5.85 tff(21429,plain,
% 7.68/5.85 ((v130(constB183, bitIndex2) | v130(constB183, bitIndex0) | (~v130(constB183, bitIndex1))) | (~v130(constB183, bitIndex0))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21430,plain,
% 7.68/5.85 (~v130(constB183, bitIndex0)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21429, 21309])).
% 7.68/5.85 tff(21431,plain,
% 7.68/5.85 (((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)) | (~v127(constB183, bitIndex0)) | v130(constB183, bitIndex0)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21432,plain,
% 7.68/5.85 (~v127(constB183, bitIndex0)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21431, 21430, 21428])).
% 7.68/5.85 tff(21433,plain,
% 7.68/5.85 (((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0)) | (~v129(constB184, bitIndex0)) | v127(constB183, bitIndex0)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21434,plain,
% 7.68/5.85 (~v129(constB184, bitIndex0)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21433, 21432, 21426])).
% 7.68/5.85 tff(21435,plain,
% 7.68/5.85 ((((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0))) | (~((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21436,plain,
% 7.68/5.85 (~((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21435, 21416])).
% 7.68/5.85 tff(21437,plain,
% 7.68/5.85 (((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0)) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21438,plain,
% 7.68/5.85 (~v90(constB184, bitIndex0)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21437, 21436, 21434])).
% 7.68/5.85 tff(21439,plain,
% 7.68/5.85 (((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0)) | (~v90(constB185, bitIndex0)) | v90(constB184, bitIndex0)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21440,plain,
% 7.68/5.85 (~v90(constB185, bitIndex0)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21439, 21438, 21424])).
% 7.68/5.85 tff(21441,plain,
% 7.68/5.85 ((((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | ((~v90(constB185, bitIndex2)) <=> v90(constB184, bitIndex2)) | ((~v90(constB185, bitIndex0)) <=> v90(constB184, bitIndex0))) | (~((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21442,plain,
% 7.68/5.85 (~((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21441, 12478])).
% 7.68/5.85 tff(21443,plain,
% 7.68/5.85 ((((~v129(constB184, bitIndex2)) <=> v127(constB183, bitIndex2)) | ((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | ((~v129(constB184, bitIndex0)) <=> v127(constB183, bitIndex0))) | (~((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21444,plain,
% 7.68/5.85 (~((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21443, 12487])).
% 7.68/5.85 tff(21445,plain,
% 7.68/5.85 ((((~v127(constB183, bitIndex2)) <=> v130(constB183, bitIndex2)) | ((~v127(constB183, bitIndex0)) <=> v130(constB183, bitIndex0)) | ((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1))) | (~((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21446,plain,
% 7.68/5.85 (~((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21445, 12501])).
% 7.68/5.85 tff(21447,plain,
% 7.68/5.85 ((v130(constB183, bitIndex2) | v130(constB183, bitIndex0) | (~v130(constB183, bitIndex1))) | v130(constB183, bitIndex1)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21448,plain,
% 7.68/5.85 (v130(constB183, bitIndex1)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21447, 21309])).
% 7.68/5.85 tff(21449,plain,
% 7.68/5.85 (((~v127(constB183, bitIndex1)) <=> v130(constB183, bitIndex1)) | v127(constB183, bitIndex1) | (~v130(constB183, bitIndex1))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21450,plain,
% 7.68/5.85 (v127(constB183, bitIndex1)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21449, 21448, 21446])).
% 7.68/5.85 tff(21451,plain,
% 7.68/5.85 (((~v129(constB184, bitIndex1)) <=> v127(constB183, bitIndex1)) | v129(constB184, bitIndex1) | (~v127(constB183, bitIndex1))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21452,plain,
% 7.68/5.85 (v129(constB184, bitIndex1)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21451, 21450, 21444])).
% 7.68/5.85 tff(21453,plain,
% 7.68/5.85 ((((~v90(constB184, bitIndex2)) <=> v129(constB184, bitIndex2)) | ((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | ((~v90(constB184, bitIndex0)) <=> v129(constB184, bitIndex0))) | (~((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21454,plain,
% 7.68/5.85 (~((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21453, 21416])).
% 7.68/5.85 tff(21455,plain,
% 7.68/5.85 (((~v90(constB184, bitIndex1)) <=> v129(constB184, bitIndex1)) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21456,plain,
% 7.68/5.85 (v90(constB184, bitIndex1)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21455, 21454, 21452])).
% 7.68/5.85 tff(21457,plain,
% 7.68/5.85 (((~v90(constB185, bitIndex1)) <=> v90(constB184, bitIndex1)) | v90(constB185, bitIndex1) | (~v90(constB184, bitIndex1))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21458,plain,
% 7.68/5.85 (v90(constB185, bitIndex1)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21457, 21456, 21442])).
% 7.68/5.85 tff(21459,plain,
% 7.68/5.85 ((~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)))) | v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21460,plain,
% 7.68/5.85 (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21459, 21458, 21440, 21422])).
% 7.68/5.85 tff(21461,plain,
% 7.68/5.85 ((~(v121(constB185) <=> (~(v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)))))) | v121(constB185) | (v90(constB185, bitIndex2) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21462,plain,
% 7.68/5.85 (v121(constB185)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21461, 21460, 12444])).
% 7.68/5.85 tff(21463,plain,
% 7.68/5.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB185)) | (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)) | (~v130(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB185)) | (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)) | (~v130(constB185, bitIndex1)))))),
% 7.68/5.85 inference(rewrite,[status(thm)],[])).
% 7.68/5.85 tff(21464,plain,
% 7.68/5.85 (((~v121(constB185)) | (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex1)) | (~v130(constB185, bitIndex0))))) <=> ((~v121(constB185)) | (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)) | (~v130(constB185, bitIndex1)))))),
% 7.68/5.85 inference(rewrite,[status(thm)],[])).
% 7.68/5.85 tff(21465,plain,
% 7.68/5.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB185)) | (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex1)) | (~v130(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB185)) | (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)) | (~v130(constB185, bitIndex1))))))),
% 7.68/5.85 inference(monotonicity,[status(thm)],[21464])).
% 7.68/5.85 tff(21466,plain,
% 7.68/5.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB185)) | (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex1)) | (~v130(constB185, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB185)) | (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)) | (~v130(constB185, bitIndex1)))))),
% 7.68/5.85 inference(transitivity,[status(thm)],[21465, 21463])).
% 7.68/5.85 tff(21467,plain,
% 7.68/5.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | ((~v121(constB185)) | (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex1)) | (~v130(constB185, bitIndex0)))))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21468,plain,
% 7.68/5.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~(v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)) | (~v130(VarCurr, bitIndex0)))))) | (~v121(constB185)) | (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)) | (~v130(constB185, bitIndex1))))),
% 7.68/5.85 inference(modus_ponens,[status(thm)],[21467, 21466])).
% 7.68/5.85 tff(21469,plain,
% 7.68/5.85 ((~v121(constB185)) | (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)) | (~v130(constB185, bitIndex1))))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21468, 4392])).
% 7.68/5.85 tff(21470,plain,
% 7.68/5.85 (~(v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)) | (~v130(constB185, bitIndex1)))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21469, 21462])).
% 7.68/5.85 tff(21471,plain,
% 7.68/5.85 ((v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)) | (~v130(constB185, bitIndex1))) | (~v130(constB185, bitIndex2))),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21472,plain,
% 7.68/5.85 (~v130(constB185, bitIndex2)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21471, 21470])).
% 7.68/5.85 tff(21473,plain,
% 7.68/5.85 (((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | (~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21474,plain,
% 7.68/5.85 (~v127(constB185, bitIndex2)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21473, 21472, 12437])).
% 7.68/5.85 tff(21475,plain,
% 7.68/5.85 (((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | (~v129(constB186, bitIndex2)) | v127(constB185, bitIndex2)),
% 7.68/5.85 inference(tautology,[status(thm)],[])).
% 7.68/5.85 tff(21476,plain,
% 7.68/5.85 (~v129(constB186, bitIndex2)),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21475, 21474, 12423])).
% 7.68/5.85 tff(21477,plain,
% 7.68/5.85 (((~![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))))))),
% 7.68/5.85 inference(rewrite,[status(thm)],[])).
% 7.68/5.85 tff(21478,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))))),
% 7.68/5.85 inference(quant_inst,[status(thm)],[])).
% 7.68/5.85 tff(21479,plain,
% 7.68/5.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB185, constB186)) | (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))),
% 7.68/5.85 inference(modus_ponens,[status(thm)],[21478, 21477])).
% 7.68/5.85 tff(21480,plain,
% 7.68/5.85 (v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186))))),
% 7.68/5.85 inference(unit_resolution,[status(thm)],[21479, 12417, 433])).
% 7.68/5.85 tff(21481,plain,
% 7.68/5.85 (((~![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))))))),
% 7.68/5.86 inference(rewrite,[status(thm)],[])).
% 7.68/5.86 tff(21482,plain,
% 7.68/5.86 (((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186)))))) <=> ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))))),
% 7.68/5.86 inference(rewrite,[status(thm)],[])).
% 7.68/5.86 tff(21483,plain,
% 7.68/5.86 (((~![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)))))))),
% 7.68/5.86 inference(monotonicity,[status(thm)],[21482])).
% 7.68/5.86 tff(21484,plain,
% 7.68/5.86 (((~![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))))))),
% 7.68/5.86 inference(transitivity,[status(thm)],[21483, 21481])).
% 7.68/5.86 tff(21485,plain,
% 7.68/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v102(constB186)) | (~v1(constB186))))))),
% 7.68/5.86 inference(quant_inst,[status(thm)],[])).
% 7.68/5.86 tff(21486,plain,
% 7.68/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))),
% 7.68/5.86 inference(modus_ponens,[status(thm)],[21485, 21484])).
% 7.68/5.86 tff(21487,plain,
% 7.68/5.86 (v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186))))),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21486, 12417, 453])).
% 7.68/5.86 tff(21488,plain,
% 7.68/5.86 (((~![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)))),
% 7.68/5.86 inference(rewrite,[status(thm)],[])).
% 7.68/5.86 tff(21489,plain,
% 7.68/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186)))),
% 7.68/5.86 inference(quant_inst,[status(thm)],[])).
% 7.68/5.86 tff(21490,plain,
% 7.68/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB185, constB186)) | ((~v102(constB186)) <=> v104(constB186))),
% 7.68/5.86 inference(modus_ponens,[status(thm)],[21489, 21488])).
% 7.68/5.86 tff(21491,plain,
% 7.68/5.86 ((~v102(constB186)) <=> v104(constB186)),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21490, 12417, 3966])).
% 7.68/5.86 tff(21492,plain,
% 7.68/5.86 (((~![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)))),
% 7.68/5.86 inference(rewrite,[status(thm)],[])).
% 7.68/5.86 tff(21493,plain,
% 7.68/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185)))),
% 7.68/5.86 inference(quant_inst,[status(thm)],[])).
% 7.68/5.86 tff(21494,plain,
% 7.68/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v1(constB185))),
% 7.68/5.86 inference(modus_ponens,[status(thm)],[21493, 21492])).
% 7.68/5.86 tff(21495,plain,
% 7.68/5.86 (v104(constB186) <=> v1(constB185)),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21494, 12417, 3980])).
% 7.68/5.86 tff(21496,plain,
% 7.68/5.86 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186)) | v1(constB185)),
% 7.68/5.86 inference(tautology,[status(thm)],[])).
% 7.68/5.86 tff(21497,plain,
% 7.68/5.86 ((~(v104(constB186) <=> v1(constB185))) | (~v104(constB186))),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21496, 12461])).
% 7.68/5.86 tff(21498,plain,
% 7.68/5.86 (~v104(constB186)),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21497, 21495])).
% 7.68/5.86 tff(21499,plain,
% 7.68/5.86 ((~((~v102(constB186)) <=> v104(constB186))) | v102(constB186) | v104(constB186)),
% 7.68/5.86 inference(tautology,[status(thm)],[])).
% 7.68/5.86 tff(21500,plain,
% 7.68/5.86 (v102(constB186)),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21499, 21498, 21491])).
% 7.68/5.86 tff(21501,plain,
% 7.68/5.86 (v1(constB186) <=> v1(constB186)),
% 7.68/5.86 inference(rewrite,[status(thm)],[])).
% 7.68/5.86 tff(21502,axiom,(v1(constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_186')).
% 7.68/5.86 tff(21503,plain,
% 7.68/5.86 (v1(constB186)),
% 7.68/5.86 inference(modus_ponens,[status(thm)],[21502, 21501])).
% 7.68/5.86 tff(21504,plain,
% 7.68/5.86 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v1(constB186)) | (~v102(constB186))),
% 7.68/5.86 inference(tautology,[status(thm)],[])).
% 7.68/5.86 tff(21505,plain,
% 7.68/5.86 ((~((~v1(constB186)) | (~v102(constB186)))) | (~v102(constB186))),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21504, 21503])).
% 7.68/5.86 tff(21506,plain,
% 7.68/5.86 (~((~v1(constB186)) | (~v102(constB186)))),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21505, 21500])).
% 7.68/5.86 tff(21507,plain,
% 7.68/5.86 ((~(v101(constB186) <=> (~((~v1(constB186)) | (~v102(constB186)))))) | v101(constB186) | ((~v1(constB186)) | (~v102(constB186)))),
% 7.68/5.86 inference(tautology,[status(thm)],[])).
% 7.68/5.86 tff(21508,plain,
% 7.68/5.86 (v101(constB186)),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21507, 21506, 21487])).
% 7.68/5.86 tff(21509,plain,
% 7.68/5.86 (((~![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)))),
% 7.68/5.86 inference(rewrite,[status(thm)],[])).
% 7.68/5.86 tff(21510,plain,
% 7.68/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185)))),
% 7.68/5.86 inference(quant_inst,[status(thm)],[])).
% 7.68/5.86 tff(21511,plain,
% 7.68/5.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB185, constB186)) | (v110(constB186) <=> v108(constB185))),
% 7.68/5.86 inference(modus_ponens,[status(thm)],[21510, 21509])).
% 7.68/5.86 tff(21512,plain,
% 7.68/5.86 (v110(constB186) <=> v108(constB185)),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21511, 12417, 4007])).
% 7.68/5.86 tff(21513,plain,
% 7.68/5.86 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB185) <=> (v111(constB185) | v112(constB185)))),
% 7.68/5.86 inference(quant_inst,[status(thm)],[])).
% 7.68/5.86 tff(21514,plain,
% 7.68/5.86 (v108(constB185) <=> (v111(constB185) | v112(constB185))),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21513, 4018])).
% 7.68/5.86 tff(21515,plain,
% 7.68/5.86 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))),
% 7.68/5.86 inference(quant_inst,[status(thm)],[])).
% 7.68/5.86 tff(21516,plain,
% 7.68/5.86 (v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185))))),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21515, 4030])).
% 7.68/5.86 tff(21517,plain,
% 7.68/5.86 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB185) <=> (v114(constB185) | v125(constB185)))),
% 7.68/5.86 inference(quant_inst,[status(thm)],[])).
% 7.68/5.86 tff(21518,plain,
% 7.68/5.86 (v113(constB185) <=> (v114(constB185) | v125(constB185))),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21517, 4039])).
% 7.68/5.86 tff(21519,plain,
% 7.68/5.86 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB185) <=> (v115(constB185) | v124(constB185)))),
% 7.68/5.86 inference(quant_inst,[status(thm)],[])).
% 7.68/5.86 tff(21520,plain,
% 7.68/5.86 (v114(constB185) <=> (v115(constB185) | v124(constB185))),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21519, 4048])).
% 7.68/5.86 tff(21521,plain,
% 7.68/5.86 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB185) <=> (v116(constB185) | v123(constB185)))),
% 7.68/5.86 inference(quant_inst,[status(thm)],[])).
% 7.68/5.86 tff(21522,plain,
% 7.68/5.86 (v115(constB185) <=> (v116(constB185) | v123(constB185))),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21521, 4057])).
% 7.68/5.86 tff(21523,plain,
% 7.68/5.86 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB185) <=> (v117(constB185) | v122(constB185)))),
% 7.68/5.86 inference(quant_inst,[status(thm)],[])).
% 7.68/5.86 tff(21524,plain,
% 7.68/5.86 (v116(constB185) <=> (v117(constB185) | v122(constB185))),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21523, 4066])).
% 7.68/5.86 tff(21525,plain,
% 7.68/5.86 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB185) <=> (v118(constB185) | v121(constB185)))),
% 7.68/5.86 inference(quant_inst,[status(thm)],[])).
% 7.68/5.86 tff(21526,plain,
% 7.68/5.86 (v117(constB185) <=> (v118(constB185) | v121(constB185))),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21525, 4075])).
% 7.68/5.86 tff(21527,plain,
% 7.68/5.86 ((v118(constB185) | v121(constB185)) | (~v121(constB185))),
% 7.68/5.86 inference(tautology,[status(thm)],[])).
% 7.68/5.86 tff(21528,plain,
% 7.68/5.86 (v118(constB185) | v121(constB185)),
% 7.68/5.86 inference(unit_resolution,[status(thm)],[21527, 21462])).
% 7.68/5.86 tff(21529,plain,
% 7.68/5.86 ((~(v117(constB185) <=> (v118(constB185) | v121(constB185)))) | v117(constB185) | (~(v118(constB185) | v121(constB185)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21530,plain,
% 7.75/5.86 (v117(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21529, 21528, 21526])).
% 7.75/5.86 tff(21531,plain,
% 7.75/5.86 ((v117(constB185) | v122(constB185)) | (~v117(constB185))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21532,plain,
% 7.75/5.86 (v117(constB185) | v122(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21531, 21530])).
% 7.75/5.86 tff(21533,plain,
% 7.75/5.86 ((~(v116(constB185) <=> (v117(constB185) | v122(constB185)))) | v116(constB185) | (~(v117(constB185) | v122(constB185)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21534,plain,
% 7.75/5.86 (v116(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21533, 21532, 21524])).
% 7.75/5.86 tff(21535,plain,
% 7.75/5.86 ((v116(constB185) | v123(constB185)) | (~v116(constB185))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21536,plain,
% 7.75/5.86 (v116(constB185) | v123(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21535, 21534])).
% 7.75/5.86 tff(21537,plain,
% 7.75/5.86 ((~(v115(constB185) <=> (v116(constB185) | v123(constB185)))) | v115(constB185) | (~(v116(constB185) | v123(constB185)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21538,plain,
% 7.75/5.86 (v115(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21537, 21536, 21522])).
% 7.75/5.86 tff(21539,plain,
% 7.75/5.86 ((v115(constB185) | v124(constB185)) | (~v115(constB185))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21540,plain,
% 7.75/5.86 (v115(constB185) | v124(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21539, 21538])).
% 7.75/5.86 tff(21541,plain,
% 7.75/5.86 ((~(v114(constB185) <=> (v115(constB185) | v124(constB185)))) | v114(constB185) | (~(v115(constB185) | v124(constB185)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21542,plain,
% 7.75/5.86 (v114(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21541, 21540, 21520])).
% 7.75/5.86 tff(21543,plain,
% 7.75/5.86 ((v114(constB185) | v125(constB185)) | (~v114(constB185))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21544,plain,
% 7.75/5.86 (v114(constB185) | v125(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21543, 21542])).
% 7.75/5.86 tff(21545,plain,
% 7.75/5.86 ((~(v113(constB185) <=> (v114(constB185) | v125(constB185)))) | v113(constB185) | (~(v114(constB185) | v125(constB185)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21546,plain,
% 7.75/5.86 (v113(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21545, 21544, 21518])).
% 7.75/5.86 tff(21547,plain,
% 7.75/5.86 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB185)) <=> v111(constB185))),
% 7.75/5.86 inference(quant_inst,[status(thm)],[])).
% 7.75/5.86 tff(21548,plain,
% 7.75/5.86 ((~v126(constB185)) <=> v111(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21547, 4118])).
% 7.75/5.86 tff(21549,plain,
% 7.75/5.86 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185) | v111(constB185)),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21550,plain,
% 7.75/5.86 ((~((~v126(constB185)) <=> v111(constB185))) | v126(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21549, 12430])).
% 7.75/5.86 tff(21551,plain,
% 7.75/5.86 (v126(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21550, 21548])).
% 7.75/5.86 tff(21552,plain,
% 7.75/5.86 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185)) | (~v126(constB185))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21553,plain,
% 7.75/5.86 ((~((~v113(constB185)) | (~v126(constB185)))) | (~v113(constB185))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21552, 21551])).
% 7.75/5.86 tff(21554,plain,
% 7.75/5.86 (~((~v113(constB185)) | (~v126(constB185)))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21553, 21546])).
% 7.75/5.86 tff(21555,plain,
% 7.75/5.86 ((~(v112(constB185) <=> (~((~v113(constB185)) | (~v126(constB185)))))) | v112(constB185) | ((~v113(constB185)) | (~v126(constB185)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21556,plain,
% 7.75/5.86 (v112(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21555, 21554, 21516])).
% 7.75/5.86 tff(21557,plain,
% 7.75/5.86 ((v111(constB185) | v112(constB185)) | (~v112(constB185))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21558,plain,
% 7.75/5.86 (v111(constB185) | v112(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21557, 21556])).
% 7.75/5.86 tff(21559,plain,
% 7.75/5.86 ((~(v108(constB185) <=> (v111(constB185) | v112(constB185)))) | v108(constB185) | (~(v111(constB185) | v112(constB185)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21560,plain,
% 7.75/5.86 (v108(constB185)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21559, 21558, 21514])).
% 7.75/5.86 tff(21561,plain,
% 7.75/5.86 ((~(v110(constB186) <=> v108(constB185))) | v110(constB186) | (~v108(constB185))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21562,plain,
% 7.75/5.86 (v110(constB186)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21561, 21560, 21512])).
% 7.75/5.86 tff(21563,plain,
% 7.75/5.86 ((~((~v101(constB186)) | (~v110(constB186)))) | (~v101(constB186)) | (~v110(constB186))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21564,plain,
% 7.75/5.86 (~((~v101(constB186)) | (~v110(constB186)))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21563, 21562, 21508])).
% 7.75/5.86 tff(21565,plain,
% 7.75/5.86 ((~(v100(constB186) <=> (~((~v101(constB186)) | (~v110(constB186)))))) | v100(constB186) | ((~v101(constB186)) | (~v110(constB186)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21566,plain,
% 7.75/5.86 (v100(constB186)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21565, 21564, 21480])).
% 7.75/5.86 tff(21567,plain,
% 7.75/5.86 (((~![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)))))),
% 7.75/5.86 inference(rewrite,[status(thm)],[])).
% 7.75/5.86 tff(21568,plain,
% 7.75/5.86 (((~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)))))),
% 7.75/5.86 inference(rewrite,[status(thm)],[])).
% 7.75/5.86 tff(21569,plain,
% 7.75/5.86 (((~![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))))))),
% 7.75/5.86 inference(monotonicity,[status(thm)],[21568])).
% 7.75/5.86 tff(21570,plain,
% 7.75/5.86 (((~![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)))))),
% 7.75/5.86 inference(transitivity,[status(thm)],[21569, 21567])).
% 7.75/5.86 tff(21571,plain,
% 7.75/5.86 ((~![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)))))),
% 7.75/5.86 inference(quant_inst,[status(thm)],[])).
% 7.75/5.86 tff(21572,plain,
% 7.75/5.86 ((~![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))))),
% 7.75/5.86 inference(modus_ponens,[status(thm)],[21571, 21570])).
% 7.75/5.86 tff(21573,plain,
% 7.75/5.86 ((~v100(constB186)) | (~(((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21572, 4151])).
% 7.75/5.86 tff(21574,plain,
% 7.75/5.86 (~(((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21573, 21566])).
% 7.75/5.86 tff(21575,plain,
% 7.75/5.86 ((((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))) | (~((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21576,plain,
% 7.75/5.86 (~((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21575, 21574])).
% 7.75/5.86 tff(21577,plain,
% 7.75/5.86 (((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2)),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21578,plain,
% 7.75/5.86 (~v90(constB186, bitIndex2)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21577, 21576, 21476])).
% 7.75/5.86 tff(21579,plain,
% 7.75/5.86 (((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | (~v90(constB187, bitIndex2)) | v90(constB186, bitIndex2)),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21580,plain,
% 7.75/5.86 (~v90(constB187, bitIndex2)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21579, 21578, 12414])).
% 7.75/5.86 tff(21581,plain,
% 7.75/5.86 (((~v88(constB187, bitIndex2)) <=> v90(constB187, bitIndex2)) | (~v88(constB187, bitIndex2)) | v90(constB187, bitIndex2)),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21582,plain,
% 7.75/5.86 (~v88(constB187, bitIndex2)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21581, 21580, 12381])).
% 7.75/5.86 tff(21583,plain,
% 7.75/5.86 ((((~v88(constB187, bitIndex1)) <=> v90(constB187, bitIndex1)) | ((~v88(constB187, bitIndex2)) <=> v90(constB187, bitIndex2)) | ((~v88(constB187, bitIndex0)) <=> v90(constB187, bitIndex0))) | (~((~v88(constB187, bitIndex0)) <=> v90(constB187, bitIndex0)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21584,plain,
% 7.75/5.86 (~((~v88(constB187, bitIndex0)) <=> v90(constB187, bitIndex0))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21583, 12379])).
% 7.75/5.86 tff(21585,plain,
% 7.75/5.86 ((((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))) | (~((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21586,plain,
% 7.75/5.86 (~((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21585, 12412])).
% 7.75/5.86 tff(21587,plain,
% 7.75/5.86 ((((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0))) | (~((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21588,plain,
% 7.75/5.86 (~((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21587, 12421])).
% 7.75/5.86 tff(21589,plain,
% 7.75/5.86 ((((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1))) | (~((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21590,plain,
% 7.75/5.86 (~((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21589, 12435])).
% 7.75/5.86 tff(21591,plain,
% 7.75/5.86 ((v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)) | (~v130(constB185, bitIndex1))) | v130(constB185, bitIndex0)),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21592,plain,
% 7.75/5.86 (v130(constB185, bitIndex0)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21591, 21470])).
% 7.75/5.86 tff(21593,plain,
% 7.75/5.86 (((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)) | v127(constB185, bitIndex0) | (~v130(constB185, bitIndex0))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21594,plain,
% 7.75/5.86 (v127(constB185, bitIndex0)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21593, 21592, 21590])).
% 7.75/5.86 tff(21595,plain,
% 7.75/5.86 (((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0)) | v129(constB186, bitIndex0) | (~v127(constB185, bitIndex0))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21596,plain,
% 7.75/5.86 (v129(constB186, bitIndex0)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21595, 21594, 21588])).
% 7.75/5.86 tff(21597,plain,
% 7.75/5.86 ((((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))) | (~((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21598,plain,
% 7.75/5.86 (~((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21597, 21574])).
% 7.75/5.86 tff(21599,plain,
% 7.75/5.86 (((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21600,plain,
% 7.75/5.86 (v90(constB186, bitIndex0)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21599, 21598, 21596])).
% 7.75/5.86 tff(21601,plain,
% 7.75/5.86 (((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0)) | v90(constB187, bitIndex0) | (~v90(constB186, bitIndex0))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21602,plain,
% 7.75/5.86 (v90(constB187, bitIndex0)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21601, 21600, 21586])).
% 7.75/5.86 tff(21603,plain,
% 7.75/5.86 (((~v88(constB187, bitIndex0)) <=> v90(constB187, bitIndex0)) | v88(constB187, bitIndex0) | (~v90(constB187, bitIndex0))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21604,plain,
% 7.75/5.86 (v88(constB187, bitIndex0)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21603, 21602, 21584])).
% 7.75/5.86 tff(21605,plain,
% 7.75/5.86 ((((~v88(constB187, bitIndex1)) <=> v90(constB187, bitIndex1)) | ((~v88(constB187, bitIndex2)) <=> v90(constB187, bitIndex2)) | ((~v88(constB187, bitIndex0)) <=> v90(constB187, bitIndex0))) | (~((~v88(constB187, bitIndex1)) <=> v90(constB187, bitIndex1)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21606,plain,
% 7.75/5.86 (~((~v88(constB187, bitIndex1)) <=> v90(constB187, bitIndex1))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21605, 12379])).
% 7.75/5.86 tff(21607,plain,
% 7.75/5.86 ((((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | ((~v90(constB187, bitIndex2)) <=> v90(constB186, bitIndex2)) | ((~v90(constB187, bitIndex0)) <=> v90(constB186, bitIndex0))) | (~((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21608,plain,
% 7.75/5.86 (~((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21607, 12412])).
% 7.75/5.86 tff(21609,plain,
% 7.75/5.86 ((((~v129(constB186, bitIndex2)) <=> v127(constB185, bitIndex2)) | ((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | ((~v129(constB186, bitIndex0)) <=> v127(constB185, bitIndex0))) | (~((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21610,plain,
% 7.75/5.86 (~((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21609, 12421])).
% 7.75/5.86 tff(21611,plain,
% 7.75/5.86 ((((~v127(constB185, bitIndex2)) <=> v130(constB185, bitIndex2)) | ((~v127(constB185, bitIndex0)) <=> v130(constB185, bitIndex0)) | ((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1))) | (~((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21612,plain,
% 7.75/5.86 (~((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21611, 12435])).
% 7.75/5.86 tff(21613,plain,
% 7.75/5.86 ((v130(constB185, bitIndex2) | (~v130(constB185, bitIndex0)) | (~v130(constB185, bitIndex1))) | v130(constB185, bitIndex1)),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21614,plain,
% 7.75/5.86 (v130(constB185, bitIndex1)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21613, 21470])).
% 7.75/5.86 tff(21615,plain,
% 7.75/5.86 (((~v127(constB185, bitIndex1)) <=> v130(constB185, bitIndex1)) | v127(constB185, bitIndex1) | (~v130(constB185, bitIndex1))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21616,plain,
% 7.75/5.86 (v127(constB185, bitIndex1)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21615, 21614, 21612])).
% 7.75/5.86 tff(21617,plain,
% 7.75/5.86 (((~v129(constB186, bitIndex1)) <=> v127(constB185, bitIndex1)) | v129(constB186, bitIndex1) | (~v127(constB185, bitIndex1))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21618,plain,
% 7.75/5.86 (v129(constB186, bitIndex1)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21617, 21616, 21610])).
% 7.75/5.86 tff(21619,plain,
% 7.75/5.86 ((((~v90(constB186, bitIndex0)) <=> v129(constB186, bitIndex0)) | ((~v90(constB186, bitIndex2)) <=> v129(constB186, bitIndex2)) | ((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))) | (~((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21620,plain,
% 7.75/5.86 (~((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21619, 21574])).
% 7.75/5.86 tff(21621,plain,
% 7.75/5.86 (((~v90(constB186, bitIndex1)) <=> v129(constB186, bitIndex1)) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21622,plain,
% 7.75/5.86 (v90(constB186, bitIndex1)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21621, 21620, 21618])).
% 7.75/5.86 tff(21623,plain,
% 7.75/5.86 (((~v90(constB187, bitIndex1)) <=> v90(constB186, bitIndex1)) | v90(constB187, bitIndex1) | (~v90(constB186, bitIndex1))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21624,plain,
% 7.75/5.86 (v90(constB187, bitIndex1)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21623, 21622, 21608])).
% 7.75/5.86 tff(21625,plain,
% 7.75/5.86 (((~v88(constB187, bitIndex1)) <=> v90(constB187, bitIndex1)) | v88(constB187, bitIndex1) | (~v90(constB187, bitIndex1))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21626,plain,
% 7.75/5.86 (v88(constB187, bitIndex1)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21625, 21624, 21606])).
% 7.75/5.86 tff(21627,plain,
% 7.75/5.86 ((~((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))) | (~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21628,plain,
% 7.75/5.86 (~((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21627, 21626, 21604, 21582])).
% 7.75/5.86 tff(21629,plain,
% 7.75/5.86 ((~(v141(constB187) <=> (~((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))))) | v141(constB187) | ((~v88(constB187, bitIndex1)) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21630,plain,
% 7.75/5.86 (v141(constB187)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21629, 21628, 12377])).
% 7.75/5.86 tff(21631,plain,
% 7.75/5.86 ((v141(constB187) | v167(constB187)) | (~v141(constB187))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21632,plain,
% 7.75/5.86 (v141(constB187) | v167(constB187)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21631, 21630])).
% 7.75/5.86 tff(21633,plain,
% 7.75/5.86 ((~(v166(constB187) <=> (v141(constB187) | v167(constB187)))) | v166(constB187) | (~(v141(constB187) | v167(constB187)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21634,plain,
% 7.75/5.86 (v166(constB187)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21633, 21632, 12370])).
% 7.75/5.86 tff(21635,plain,
% 7.75/5.86 ((v142(constB187) | v166(constB187)) | (~v166(constB187))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21636,plain,
% 7.75/5.86 (v142(constB187) | v166(constB187)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21635, 21634])).
% 7.75/5.86 tff(21637,plain,
% 7.75/5.86 ((~(v165(constB187) <=> (v142(constB187) | v166(constB187)))) | v165(constB187) | (~(v142(constB187) | v166(constB187)))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21638,plain,
% 7.75/5.86 ((~(v165(constB187) <=> (v142(constB187) | v166(constB187)))) | v165(constB187)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21637, 21636])).
% 7.75/5.86 tff(21639,plain,
% 7.75/5.86 (v165(constB187)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21638, 12368])).
% 7.75/5.86 tff(21640,plain,
% 7.75/5.86 ((v145(constB187) | v165(constB187)) | (~v165(constB187))),
% 7.75/5.86 inference(tautology,[status(thm)],[])).
% 7.75/5.86 tff(21641,plain,
% 7.75/5.86 (v145(constB187) | v165(constB187)),
% 7.75/5.86 inference(unit_resolution,[status(thm)],[21640, 21639])).
% 7.75/5.86 tff(21642,plain,
% 7.75/5.86 ((~(v164(constB187) <=> (v145(constB187) | v165(constB187)))) | v164(constB187) | (~(v145(constB187) | v165(constB187)))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21643,plain,
% 7.75/5.87 (v164(constB187)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21642, 21641, 12366])).
% 7.75/5.87 tff(21644,plain,
% 7.75/5.87 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB187)) | (v161(constB187) <=> v168(constB187)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB187)) | (v161(constB187) <=> v168(constB187)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21645,plain,
% 7.75/5.87 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB187)) | (v161(constB187) <=> v168(constB187)))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21646,plain,
% 7.75/5.87 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB187)) | (v161(constB187) <=> v168(constB187))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21645, 21644])).
% 7.75/5.87 tff(21647,plain,
% 7.75/5.87 ((~v164(constB187)) | (v161(constB187) <=> v168(constB187))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21646, 12128])).
% 7.75/5.87 tff(21648,plain,
% 7.75/5.87 (v161(constB187) <=> v168(constB187)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21647, 21643])).
% 7.75/5.87 tff(21649,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB187) <=> (~(v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2))))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21650,plain,
% 7.75/5.87 (v139(constB187) <=> (~(v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2)))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21649, 12146])).
% 7.75/5.87 tff(21651,plain,
% 7.75/5.87 ((v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2)) | (~v88(constB187, bitIndex0))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21652,plain,
% 7.75/5.87 (v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21651, 21604])).
% 7.75/5.87 tff(21653,plain,
% 7.75/5.87 ((~(v139(constB187) <=> (~(v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2))))) | (~v139(constB187)) | (~(v88(constB187, bitIndex0) | v88(constB187, bitIndex1) | v88(constB187, bitIndex2)))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21654,plain,
% 7.75/5.87 (~v139(constB187)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21653, 21652, 21650])).
% 7.75/5.87 tff(21655,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB187) <=> (~(v88(constB187, bitIndex1) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21656,plain,
% 7.75/5.87 (v140(constB187) <=> (~(v88(constB187, bitIndex1) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0))))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21655, 12165])).
% 7.75/5.87 tff(21657,plain,
% 7.75/5.87 ((v88(constB187, bitIndex1) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0))) | (~v88(constB187, bitIndex1))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21658,plain,
% 7.75/5.87 (v88(constB187, bitIndex1) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21657, 21626])).
% 7.75/5.87 tff(21659,plain,
% 7.75/5.87 ((~(v140(constB187) <=> (~(v88(constB187, bitIndex1) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)))))) | (~v140(constB187)) | (~(v88(constB187, bitIndex1) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0))))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21660,plain,
% 7.75/5.87 (~v140(constB187)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21659, 21658, 21656])).
% 7.75/5.87 tff(21661,plain,
% 7.75/5.87 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB187) | v140(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB187) | v140(constB187) | (~v168(constB187)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21662,plain,
% 7.75/5.87 ((v140(constB187) | v139(constB187) | (~v168(constB187))) <=> (v139(constB187) | v140(constB187) | (~v168(constB187)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21663,plain,
% 7.75/5.87 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB187) | v139(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB187) | v140(constB187) | (~v168(constB187))))),
% 7.75/5.87 inference(monotonicity,[status(thm)],[21662])).
% 7.75/5.87 tff(21664,plain,
% 7.75/5.87 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB187) | v139(constB187) | (~v168(constB187)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB187) | v140(constB187) | (~v168(constB187)))),
% 7.75/5.87 inference(transitivity,[status(thm)],[21663, 21661])).
% 7.75/5.87 tff(21665,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB187) | v139(constB187) | (~v168(constB187)))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21666,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB187) | v140(constB187) | (~v168(constB187))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21665, 21664])).
% 7.75/5.87 tff(21667,plain,
% 7.75/5.87 (v139(constB187) | v140(constB187) | (~v168(constB187))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21666, 12184])).
% 7.75/5.87 tff(21668,plain,
% 7.75/5.87 (~v168(constB187)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21667, 21660, 21654])).
% 7.75/5.87 tff(21669,plain,
% 7.75/5.87 ((~(v161(constB187) <=> v168(constB187))) | (~v161(constB187)) | v168(constB187)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21670,plain,
% 7.75/5.87 ((~(v161(constB187) <=> v168(constB187))) | (~v161(constB187))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21669, 21668])).
% 7.75/5.87 tff(21671,plain,
% 7.75/5.87 (~v161(constB187)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21670, 21648])).
% 7.75/5.87 tff(21672,plain,
% 7.75/5.87 ((~(v159(constB187) <=> v161(constB187))) | (~v159(constB187)) | v161(constB187)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21673,plain,
% 7.75/5.87 ((~(v159(constB187) <=> v161(constB187))) | (~v159(constB187))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21672, 21671])).
% 7.75/5.87 tff(21674,plain,
% 7.75/5.87 (~v159(constB187)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21673, 12364])).
% 7.75/5.87 tff(21675,plain,
% 7.75/5.87 (((~v184(constB187)) | (~v159(constB187))) | v159(constB187)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21676,plain,
% 7.75/5.87 ((~v184(constB187)) | (~v159(constB187))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21675, 21674])).
% 7.75/5.87 tff(21677,plain,
% 7.75/5.87 ((~(v187(constB187) <=> (~((~v184(constB187)) | (~v159(constB187)))))) | (~v187(constB187)) | (~((~v184(constB187)) | (~v159(constB187))))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21678,plain,
% 7.75/5.87 (~v187(constB187)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21677, 21676, 12362])).
% 7.75/5.87 tff(21679,plain,
% 7.75/5.87 (((~v186(constB187)) | (~v187(constB187))) | v187(constB187)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21680,plain,
% 7.75/5.87 ((~v186(constB187)) | (~v187(constB187))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21679, 21678])).
% 7.75/5.87 tff(21681,plain,
% 7.75/5.87 ((~(v185(constB187) <=> (~((~v186(constB187)) | (~v187(constB187)))))) | (~v185(constB187)) | (~((~v186(constB187)) | (~v187(constB187))))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21682,plain,
% 7.75/5.87 (~v185(constB187)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21681, 21680, 12360])).
% 7.75/5.87 tff(21683,plain,
% 7.75/5.87 ((~(v181(constB187) | v185(constB187))) | v181(constB187) | v185(constB187)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21684,plain,
% 7.75/5.87 (~(v181(constB187) | v185(constB187))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21683, 21682, 12358])).
% 7.75/5.87 tff(21685,plain,
% 7.75/5.87 ((~(v178(constB187) <=> (v181(constB187) | v185(constB187)))) | (~v178(constB187)) | (v181(constB187) | v185(constB187))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21686,plain,
% 7.75/5.87 (~v178(constB187)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21685, 21684, 12282])).
% 7.75/5.87 tff(21687,plain,
% 7.75/5.87 ((~(v180(constB188) <=> v178(constB187))) | (~v180(constB188)) | v178(constB187)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21688,plain,
% 7.75/5.87 (~v180(constB188)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21687, 21686, 12280])).
% 7.75/5.87 tff(21689,plain,
% 7.75/5.87 ((~(v157(constB188) <=> v180(constB188))) | (~v157(constB188)) | v180(constB188)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21690,plain,
% 7.75/5.87 (~v157(constB188)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21689, 21688, 12273])).
% 7.75/5.87 tff(21691,plain,
% 7.75/5.87 (((~v157(constB188)) | (~v182(constB188))) | v157(constB188)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21692,plain,
% 7.75/5.87 ((~v157(constB188)) | (~v182(constB188))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21691, 21690])).
% 7.75/5.87 tff(21693,plain,
% 7.75/5.87 ((~(v181(constB188) <=> (~((~v157(constB188)) | (~v182(constB188)))))) | (~v181(constB188)) | (~((~v157(constB188)) | (~v182(constB188))))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21694,plain,
% 7.75/5.87 (~v181(constB188)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21693, 21692, 12271])).
% 7.75/5.87 tff(21695,plain,
% 7.75/5.87 ((~(v181(constB188) | v185(constB188))) | v181(constB188) | v185(constB188)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21696,plain,
% 7.75/5.87 (~(v181(constB188) | v185(constB188))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21695, 21694, 12264])).
% 7.75/5.87 tff(21697,plain,
% 7.75/5.87 ((~(v178(constB188) <=> (v181(constB188) | v185(constB188)))) | (~v178(constB188)) | (v181(constB188) | v185(constB188))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21698,plain,
% 7.75/5.87 (~v178(constB188)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21697, 21696, 12236])).
% 7.75/5.87 tff(21699,plain,
% 7.75/5.87 ((~(v180(constB189) <=> v178(constB188))) | (~v180(constB189)) | v178(constB188)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21700,plain,
% 7.75/5.87 (~v180(constB189)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21699, 21698, 12234])).
% 7.75/5.87 tff(21701,plain,
% 7.75/5.87 ($false),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21700, 12227])).
% 7.75/5.87 tff(21702,plain,(~(constB189 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.75/5.87 tff(21703,assumption,(constB133 = VarCurr!0), introduced(assumption)).
% 7.75/5.87 tff(21704,plain,
% 7.75/5.87 (v86(constB133) <=> v86(VarCurr!0)),
% 7.75/5.87 inference(monotonicity,[status(thm)],[21703])).
% 7.75/5.87 tff(21705,plain,
% 7.75/5.87 (v86(VarCurr!0) <=> v86(constB133)),
% 7.75/5.87 inference(symmetry,[status(thm)],[21704])).
% 7.75/5.87 tff(21706,plain,
% 7.75/5.87 ((~v86(VarCurr!0)) <=> (~v86(constB133))),
% 7.75/5.87 inference(monotonicity,[status(thm)],[21705])).
% 7.75/5.87 tff(21707,plain,
% 7.75/5.87 (^[VarCurr: $i] : refl((v84(VarCurr) <=> v86(VarCurr)) <=> (v84(VarCurr) <=> v86(VarCurr)))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21708,plain,
% 7.75/5.87 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21707])).
% 7.75/5.87 tff(21709,plain,
% 7.75/5.87 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21710,axiom,(![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_9')).
% 7.75/5.87 tff(21711,plain,
% 7.75/5.87 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21710, 21709])).
% 7.75/5.87 tff(21712,plain,(
% 7.75/5.87 ![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 7.75/5.87 inference(skolemize,[status(sab)],[21711])).
% 7.75/5.87 tff(21713,plain,
% 7.75/5.87 (![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21712, 21708])).
% 7.75/5.87 tff(21714,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v84(VarCurr) <=> v86(VarCurr))) | (v84(VarCurr!0) <=> v86(VarCurr!0))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21715,plain,
% 7.75/5.87 (v84(VarCurr!0) <=> v86(VarCurr!0)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21714, 21713])).
% 7.75/5.87 tff(21716,plain,
% 7.75/5.87 (^[VarCurr: $i] : refl(((~v194(VarCurr)) <=> v84(VarCurr)) <=> ((~v194(VarCurr)) <=> v84(VarCurr)))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21717,plain,
% 7.75/5.87 (![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21716])).
% 7.75/5.87 tff(21718,plain,
% 7.75/5.87 (![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr)) <=> ![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21719,axiom,(![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_16')).
% 7.75/5.87 tff(21720,plain,
% 7.75/5.87 (![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21719, 21718])).
% 7.75/5.87 tff(21721,plain,(
% 7.75/5.87 ![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))),
% 7.75/5.87 inference(skolemize,[status(sab)],[21720])).
% 7.75/5.87 tff(21722,plain,
% 7.75/5.87 (![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21721, 21717])).
% 7.75/5.87 tff(21723,plain,
% 7.75/5.87 ((~![VarCurr: $i] : ((~v194(VarCurr)) <=> v84(VarCurr))) | ((~v194(VarCurr!0)) <=> v84(VarCurr!0))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21724,plain,
% 7.75/5.87 ((~v194(VarCurr!0)) <=> v84(VarCurr!0)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21723, 21722])).
% 7.75/5.87 tff(21725,plain,
% 7.75/5.87 (^[VarCurr: $i] : refl((v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr))))) <=> (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr))))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21726,plain,
% 7.75/5.87 (![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr))))) <=> ![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr)))))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21725])).
% 7.75/5.87 tff(21727,plain,
% 7.75/5.87 (^[VarCurr: $i] : rewrite((v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr))) <=> (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr))))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21728,plain,
% 7.75/5.87 (![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr)))))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21727])).
% 7.75/5.87 tff(21729,plain,
% 7.75/5.87 (![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr))) <=> ![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21730,axiom,(![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48')).
% 7.75/5.87 tff(21731,plain,
% 7.75/5.87 (![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21730, 21729])).
% 7.75/5.87 tff(21732,plain,(
% 7.75/5.87 ![VarCurr: $i] : (v193(VarCurr) <=> (v194(VarCurr) & v184(VarCurr)))),
% 7.75/5.87 inference(skolemize,[status(sab)],[21731])).
% 7.75/5.87 tff(21733,plain,
% 7.75/5.87 (![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr)))))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21732, 21728])).
% 7.75/5.87 tff(21734,plain,
% 7.75/5.87 (![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr)))))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21733, 21726])).
% 7.75/5.87 tff(21735,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v193(VarCurr) <=> (~((~v194(VarCurr)) | (~v184(VarCurr)))))) | (v193(VarCurr!0) <=> (~((~v194(VarCurr!0)) | (~v184(VarCurr!0)))))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21736,plain,
% 7.75/5.87 (v193(VarCurr!0) <=> (~((~v194(VarCurr!0)) | (~v184(VarCurr!0))))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21735, 21734])).
% 7.75/5.87 tff(21737,plain,
% 7.75/5.87 (^[VarCurr: $i] : refl((v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr))))) <=> (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr))))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21738,plain,
% 7.75/5.87 (![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr))))) <=> ![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr)))))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21737])).
% 7.75/5.87 tff(21739,plain,
% 7.75/5.87 (^[VarCurr: $i] : rewrite((v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr))) <=> (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr))))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21740,plain,
% 7.75/5.87 (![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr))) <=> ![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr)))))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21739])).
% 7.75/5.87 tff(21741,plain,
% 7.75/5.87 (![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr))) <=> ![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21742,axiom,(![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49')).
% 7.75/5.87 tff(21743,plain,
% 7.75/5.87 (![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21742, 21741])).
% 7.75/5.87 tff(21744,plain,(
% 7.75/5.87 ![VarCurr: $i] : (v192(VarCurr) <=> (v186(VarCurr) & v193(VarCurr)))),
% 7.75/5.87 inference(skolemize,[status(sab)],[21743])).
% 7.75/5.87 tff(21745,plain,
% 7.75/5.87 (![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr)))))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21744, 21740])).
% 7.75/5.87 tff(21746,plain,
% 7.75/5.87 (![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr)))))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21745, 21738])).
% 7.75/5.87 tff(21747,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v192(VarCurr) <=> (~((~v186(VarCurr)) | (~v193(VarCurr)))))) | (v192(VarCurr!0) <=> (~((~v186(VarCurr!0)) | (~v193(VarCurr!0)))))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21748,plain,
% 7.75/5.87 (v192(VarCurr!0) <=> (~((~v186(VarCurr!0)) | (~v193(VarCurr!0))))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21747, 21746])).
% 7.75/5.87 tff(21749,plain,
% 7.75/5.87 (((~v192(VarCurr!0)) | (~v157(VarCurr!0))) | v192(VarCurr!0)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21750,plain,
% 7.75/5.87 (v192(VarCurr!0)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21749, 54])).
% 7.75/5.87 tff(21751,plain,
% 7.75/5.87 ((~(v192(VarCurr!0) <=> (~((~v186(VarCurr!0)) | (~v193(VarCurr!0)))))) | (~v192(VarCurr!0)) | (~((~v186(VarCurr!0)) | (~v193(VarCurr!0))))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21752,plain,
% 7.75/5.87 ((~(v192(VarCurr!0) <=> (~((~v186(VarCurr!0)) | (~v193(VarCurr!0)))))) | (~((~v186(VarCurr!0)) | (~v193(VarCurr!0))))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21751, 21750])).
% 7.75/5.87 tff(21753,plain,
% 7.75/5.87 (~((~v186(VarCurr!0)) | (~v193(VarCurr!0)))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21752, 21748])).
% 7.75/5.87 tff(21754,plain,
% 7.75/5.87 (((~v186(VarCurr!0)) | (~v193(VarCurr!0))) | v193(VarCurr!0)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21755,plain,
% 7.75/5.87 (v193(VarCurr!0)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21754, 21753])).
% 7.75/5.87 tff(21756,plain,
% 7.75/5.87 ((~(v193(VarCurr!0) <=> (~((~v194(VarCurr!0)) | (~v184(VarCurr!0)))))) | (~v193(VarCurr!0)) | (~((~v194(VarCurr!0)) | (~v184(VarCurr!0))))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21757,plain,
% 7.75/5.87 ((~(v193(VarCurr!0) <=> (~((~v194(VarCurr!0)) | (~v184(VarCurr!0)))))) | (~((~v194(VarCurr!0)) | (~v184(VarCurr!0))))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21756, 21755])).
% 7.75/5.87 tff(21758,plain,
% 7.75/5.87 (~((~v194(VarCurr!0)) | (~v184(VarCurr!0)))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21757, 21736])).
% 7.75/5.87 tff(21759,plain,
% 7.75/5.87 (((~v194(VarCurr!0)) | (~v184(VarCurr!0))) | v194(VarCurr!0)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21760,plain,
% 7.75/5.87 (v194(VarCurr!0)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21759, 21758])).
% 7.75/5.87 tff(21761,plain,
% 7.75/5.87 ((~((~v194(VarCurr!0)) <=> v84(VarCurr!0))) | (~v194(VarCurr!0)) | (~v84(VarCurr!0))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21762,plain,
% 7.75/5.87 ((~((~v194(VarCurr!0)) <=> v84(VarCurr!0))) | (~v84(VarCurr!0))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21761, 21760])).
% 7.75/5.87 tff(21763,plain,
% 7.75/5.87 (~v84(VarCurr!0)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21762, 21724])).
% 7.75/5.87 tff(21764,plain,
% 7.75/5.87 ((~(v84(VarCurr!0) <=> v86(VarCurr!0))) | v84(VarCurr!0) | (~v86(VarCurr!0))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21765,plain,
% 7.75/5.87 ((~(v84(VarCurr!0) <=> v86(VarCurr!0))) | (~v86(VarCurr!0))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21764, 21763])).
% 7.75/5.87 tff(21766,plain,
% 7.75/5.87 (~v86(VarCurr!0)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21765, 21715])).
% 7.75/5.87 tff(21767,plain,
% 7.75/5.87 (~v86(constB133)),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21766, 21706])).
% 7.75/5.87 tff(21768,plain,
% 7.75/5.87 (^[VarCurr: $i] : refl((v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21769,plain,
% 7.75/5.87 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21768])).
% 7.75/5.87 tff(21770,plain,
% 7.75/5.87 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21771,axiom,(![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_33')).
% 7.75/5.87 tff(21772,plain,
% 7.75/5.87 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21771, 21770])).
% 7.75/5.87 tff(21773,plain,(
% 7.75/5.87 ![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 7.75/5.87 inference(skolemize,[status(sab)],[21772])).
% 7.75/5.87 tff(21774,plain,
% 7.75/5.87 (![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21773, 21769])).
% 7.75/5.87 tff(21775,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB133) <=> (v136(constB133) | v145(constB133)))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21776,plain,
% 7.75/5.87 (v135(constB133) <=> (v136(constB133) | v145(constB133))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21775, 21774])).
% 7.75/5.87 tff(21777,plain,
% 7.75/5.87 (^[VarCurr: $i] : refl((v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21778,plain,
% 7.75/5.87 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21777])).
% 7.75/5.87 tff(21779,plain,
% 7.75/5.87 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21780,axiom,(![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31')).
% 7.75/5.87 tff(21781,plain,
% 7.75/5.87 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21780, 21779])).
% 7.75/5.87 tff(21782,plain,(
% 7.75/5.87 ![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 7.75/5.87 inference(skolemize,[status(sab)],[21781])).
% 7.75/5.87 tff(21783,plain,
% 7.75/5.87 (![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21782, 21778])).
% 7.75/5.87 tff(21784,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB133) <=> (v137(constB133) | v142(constB133)))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21785,plain,
% 7.75/5.87 (v136(constB133) <=> (v137(constB133) | v142(constB133))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21784, 21783])).
% 7.75/5.87 tff(21786,plain,
% 7.75/5.87 (^[VarCurr: $i] : refl((v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21787,plain,
% 7.75/5.87 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21786])).
% 7.75/5.87 tff(21788,plain,
% 7.75/5.87 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21789,axiom,(![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30')).
% 7.75/5.87 tff(21790,plain,
% 7.75/5.87 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21789, 21788])).
% 7.75/5.87 tff(21791,plain,(
% 7.75/5.87 ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 7.75/5.87 inference(skolemize,[status(sab)],[21790])).
% 7.75/5.87 tff(21792,plain,
% 7.75/5.87 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21791, 21787])).
% 7.75/5.87 tff(21793,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB133) <=> (v143(constB133) | v144(constB133)))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21794,plain,
% 7.75/5.87 (v142(constB133) <=> (v143(constB133) | v144(constB133))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21793, 21792])).
% 7.75/5.87 tff(21795,plain,
% 7.75/5.87 (^[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))))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21796,plain,
% 7.75/5.87 (![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)))))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21795])).
% 7.75/5.87 tff(21797,plain,
% 7.75/5.87 (^[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))))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21798,plain,
% 7.75/5.87 (![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)))))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21797])).
% 7.75/5.87 tff(21799,plain,
% 7.75/5.87 (![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))))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21800,plain,
% 7.75/5.87 (^[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)))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21801,plain,
% 7.75/5.87 (![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))))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21800])).
% 7.75/5.87 tff(21802,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')).
% 7.75/5.87 tff(21803,plain,
% 7.75/5.87 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21802, 21801])).
% 7.75/5.87 tff(21804,plain,
% 7.75/5.87 (![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21803, 21799])).
% 7.75/5.87 tff(21805,plain,(
% 7.75/5.87 ![VarCurr: $i] : (v144(VarCurr) <=> (v88(VarCurr, bitIndex2) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.75/5.87 inference(skolemize,[status(sab)],[21804])).
% 7.75/5.87 tff(21806,plain,
% 7.75/5.87 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21805, 21798])).
% 7.75/5.87 tff(21807,plain,
% 7.75/5.87 (![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21806, 21796])).
% 7.75/5.87 tff(21808,plain,
% 7.75/5.87 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~((~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~((~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0)))))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21809,plain,
% 7.75/5.87 ((v144(constB133) <=> (~(v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2))))) <=> (v144(constB133) <=> (~((~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0))))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21810,plain,
% 7.75/5.87 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~(v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~((~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0)))))),
% 7.75/5.87 inference(monotonicity,[status(thm)],[21809])).
% 7.75/5.87 tff(21811,plain,
% 7.75/5.87 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~(v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~((~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0)))))),
% 7.75/5.87 inference(transitivity,[status(thm)],[21810, 21808])).
% 7.75/5.87 tff(21812,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~(v88(constB133, bitIndex0) | (~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)))))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21813,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB133) <=> (~((~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0))))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21812, 21811])).
% 7.75/5.87 tff(21814,plain,
% 7.75/5.87 (v144(constB133) <=> (~((~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0)))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21813, 21807])).
% 7.75/5.87 tff(21815,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB133, bitIndex1)) <=> v90(constB133, bitIndex1)) | ((~v88(constB133, bitIndex2)) <=> v90(constB133, bitIndex2)) | ((~v88(constB133, bitIndex0)) <=> v90(constB133, bitIndex0))))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21816,plain,
% 7.75/5.87 (~(((~v88(constB133, bitIndex1)) <=> v90(constB133, bitIndex1)) | ((~v88(constB133, bitIndex2)) <=> v90(constB133, bitIndex2)) | ((~v88(constB133, bitIndex0)) <=> v90(constB133, bitIndex0)))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21815, 416])).
% 7.75/5.87 tff(21817,plain,
% 7.75/5.87 ((((~v88(constB133, bitIndex1)) <=> v90(constB133, bitIndex1)) | ((~v88(constB133, bitIndex2)) <=> v90(constB133, bitIndex2)) | ((~v88(constB133, bitIndex0)) <=> v90(constB133, bitIndex0))) | (~((~v88(constB133, bitIndex2)) <=> v90(constB133, bitIndex2)))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21818,plain,
% 7.75/5.87 (~((~v88(constB133, bitIndex2)) <=> v90(constB133, bitIndex2))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21817, 21816])).
% 7.75/5.87 tff(21819,plain,
% 7.75/5.87 (((~v88(constB133, bitIndex2)) <=> v90(constB133, bitIndex2)) | v88(constB133, bitIndex2) | (~v90(constB133, bitIndex2))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21820,plain,
% 7.75/5.87 (v88(constB133, bitIndex2)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21819, 17328, 21818])).
% 7.75/5.87 tff(21821,plain,
% 7.75/5.87 ((((~v88(constB133, bitIndex1)) <=> v90(constB133, bitIndex1)) | ((~v88(constB133, bitIndex2)) <=> v90(constB133, bitIndex2)) | ((~v88(constB133, bitIndex0)) <=> v90(constB133, bitIndex0))) | (~((~v88(constB133, bitIndex0)) <=> v90(constB133, bitIndex0)))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21822,plain,
% 7.75/5.87 (~((~v88(constB133, bitIndex0)) <=> v90(constB133, bitIndex0))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21821, 21816])).
% 7.75/5.87 tff(21823,plain,
% 7.75/5.87 (((~v88(constB133, bitIndex0)) <=> v90(constB133, bitIndex0)) | (~v88(constB133, bitIndex0)) | v90(constB133, bitIndex0)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21824,plain,
% 7.75/5.87 (~v88(constB133, bitIndex0)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21823, 17479, 21822])).
% 7.75/5.87 tff(21825,plain,
% 7.75/5.87 ((((~v88(constB133, bitIndex1)) <=> v90(constB133, bitIndex1)) | ((~v88(constB133, bitIndex2)) <=> v90(constB133, bitIndex2)) | ((~v88(constB133, bitIndex0)) <=> v90(constB133, bitIndex0))) | (~((~v88(constB133, bitIndex1)) <=> v90(constB133, bitIndex1)))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21826,plain,
% 7.75/5.87 (~((~v88(constB133, bitIndex1)) <=> v90(constB133, bitIndex1))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21825, 21816])).
% 7.75/5.87 tff(21827,plain,
% 7.75/5.87 (((~v88(constB133, bitIndex1)) <=> v90(constB133, bitIndex1)) | v88(constB133, bitIndex1) | (~v90(constB133, bitIndex1))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21828,plain,
% 7.75/5.87 (v88(constB133, bitIndex1)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21827, 17357, 21826])).
% 7.75/5.87 tff(21829,plain,
% 7.75/5.87 ((~((~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0))) | (~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0)),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21830,plain,
% 7.75/5.87 (~((~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0))),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21829, 21828, 21824, 21820])).
% 7.75/5.87 tff(21831,plain,
% 7.75/5.87 ((~(v144(constB133) <=> (~((~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0))))) | v144(constB133) | ((~v88(constB133, bitIndex1)) | (~v88(constB133, bitIndex2)) | v88(constB133, bitIndex0))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21832,plain,
% 7.75/5.87 (v144(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21831, 21830, 21814])).
% 7.75/5.87 tff(21833,plain,
% 7.75/5.87 ((v143(constB133) | v144(constB133)) | (~v144(constB133))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21834,plain,
% 7.75/5.87 (v143(constB133) | v144(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21833, 21832])).
% 7.75/5.87 tff(21835,plain,
% 7.75/5.87 ((~(v142(constB133) <=> (v143(constB133) | v144(constB133)))) | v142(constB133) | (~(v143(constB133) | v144(constB133)))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21836,plain,
% 7.75/5.87 (v142(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21835, 21834, 21794])).
% 7.75/5.87 tff(21837,plain,
% 7.75/5.87 ((v137(constB133) | v142(constB133)) | (~v142(constB133))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21838,plain,
% 7.75/5.87 (v137(constB133) | v142(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21837, 21836])).
% 7.75/5.87 tff(21839,plain,
% 7.75/5.87 ((~(v136(constB133) <=> (v137(constB133) | v142(constB133)))) | v136(constB133) | (~(v137(constB133) | v142(constB133)))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21840,plain,
% 7.75/5.87 ((~(v136(constB133) <=> (v137(constB133) | v142(constB133)))) | v136(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21839, 21838])).
% 7.75/5.87 tff(21841,plain,
% 7.75/5.87 (v136(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21840, 21785])).
% 7.75/5.87 tff(21842,plain,
% 7.75/5.87 ((v136(constB133) | v145(constB133)) | (~v136(constB133))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21843,plain,
% 7.75/5.87 (v136(constB133) | v145(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21842, 21841])).
% 7.75/5.87 tff(21844,plain,
% 7.75/5.87 ((~(v135(constB133) <=> (v136(constB133) | v145(constB133)))) | v135(constB133) | (~(v136(constB133) | v145(constB133)))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21845,plain,
% 7.75/5.87 (v135(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21844, 21843, 21776])).
% 7.75/5.87 tff(21846,plain,
% 7.75/5.87 (^[VarNext: $i] : refl(((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21847,plain,
% 7.75/5.87 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21846])).
% 7.75/5.87 tff(21848,plain,
% 7.75/5.87 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21849,plain,
% 7.75/5.87 (^[VarNext: $i] : rewrite((v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21850,plain,
% 7.75/5.87 (![VarNext: $i] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext))) <=> ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21849])).
% 7.75/5.87 tff(21851,axiom,(![VarNext: $i] : (v135(VarNext) => (v86(VarNext) <=> v148(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4')).
% 7.75/5.87 tff(21852,plain,
% 7.75/5.87 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21851, 21850])).
% 7.75/5.87 tff(21853,plain,
% 7.75/5.87 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21852, 21848])).
% 7.75/5.87 tff(21854,plain,(
% 7.75/5.87 ![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.75/5.87 inference(skolemize,[status(sab)],[21853])).
% 7.75/5.87 tff(21855,plain,
% 7.75/5.87 (![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21854, 21847])).
% 7.75/5.87 tff(21856,plain,
% 7.75/5.87 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB133)) | (v86(constB133) <=> v148(constB133)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB133)) | (v86(constB133) <=> v148(constB133)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21857,plain,
% 7.75/5.87 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB133)) | (v86(constB133) <=> v148(constB133)))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21858,plain,
% 7.75/5.87 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB133)) | (v86(constB133) <=> v148(constB133))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21857, 21856])).
% 7.75/5.87 tff(21859,plain,
% 7.75/5.87 (v86(constB133) <=> v148(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21858, 21855, 21845])).
% 7.75/5.87 tff(21860,plain,
% 7.75/5.87 (^[VarCurr: $i] : refl((v148(VarCurr) | (~v142(VarCurr))) <=> (v148(VarCurr) | (~v142(VarCurr))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21861,plain,
% 7.75/5.87 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21860])).
% 7.75/5.87 tff(21862,plain,
% 7.75/5.87 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21863,plain,
% 7.75/5.87 (^[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)))))),
% 7.75/5.87 inference(bind,[status(th)],[])).
% 7.75/5.87 tff(21864,plain,
% 7.75/5.87 (![VarCurr: $i] : (v142(VarCurr) => (v148(VarCurr) <=> $true)) <=> ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.75/5.87 inference(quant_intro,[status(thm)],[21863])).
% 7.75/5.87 tff(21865,axiom,(![VarCurr: $i] : (v142(VarCurr) => (v148(VarCurr) <=> $true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2')).
% 7.75/5.87 tff(21866,plain,
% 7.75/5.87 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21865, 21864])).
% 7.75/5.87 tff(21867,plain,
% 7.75/5.87 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21866, 21862])).
% 7.75/5.87 tff(21868,plain,(
% 7.75/5.87 ![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.75/5.87 inference(skolemize,[status(sab)],[21867])).
% 7.75/5.87 tff(21869,plain,
% 7.75/5.87 (![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21868, 21861])).
% 7.75/5.87 tff(21870,plain,
% 7.75/5.87 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB133) | (~v142(constB133)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB133) | (~v142(constB133)))),
% 7.75/5.87 inference(rewrite,[status(thm)],[])).
% 7.75/5.87 tff(21871,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB133) | (~v142(constB133)))),
% 7.75/5.87 inference(quant_inst,[status(thm)],[])).
% 7.75/5.87 tff(21872,plain,
% 7.75/5.87 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB133) | (~v142(constB133))),
% 7.75/5.87 inference(modus_ponens,[status(thm)],[21871, 21870])).
% 7.75/5.87 tff(21873,plain,
% 7.75/5.87 (v148(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21872, 21869, 21836])).
% 7.75/5.87 tff(21874,plain,
% 7.75/5.87 ((~(v86(constB133) <=> v148(constB133))) | v86(constB133) | (~v148(constB133))),
% 7.75/5.87 inference(tautology,[status(thm)],[])).
% 7.75/5.87 tff(21875,plain,
% 7.75/5.87 ((~(v86(constB133) <=> v148(constB133))) | v86(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21874, 21873])).
% 7.75/5.87 tff(21876,plain,
% 7.75/5.87 (v86(constB133)),
% 7.75/5.87 inference(unit_resolution,[status(thm)],[21875, 21859])).
% 7.75/5.88 tff(21877,plain,
% 7.75/5.88 ($false),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21876, 21767])).
% 7.75/5.88 tff(21878,plain,(~(constB133 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.75/5.88 tff(21879,assumption,(constB193 = VarCurr!0), introduced(assumption)).
% 7.75/5.88 tff(21880,plain,
% 7.75/5.88 (v86(constB193) <=> v86(VarCurr!0)),
% 7.75/5.88 inference(monotonicity,[status(thm)],[21879])).
% 7.75/5.88 tff(21881,plain,
% 7.75/5.88 (v86(VarCurr!0) <=> v86(constB193)),
% 7.75/5.88 inference(symmetry,[status(thm)],[21880])).
% 7.75/5.88 tff(21882,plain,
% 7.75/5.88 ((~v86(VarCurr!0)) <=> (~v86(constB193))),
% 7.75/5.88 inference(monotonicity,[status(thm)],[21881])).
% 7.75/5.88 tff(21883,plain,
% 7.75/5.88 (~v86(constB193)),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21766, 21882])).
% 7.75/5.88 tff(21884,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB193) <=> (v136(constB193) | v145(constB193)))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21885,plain,
% 7.75/5.88 (v135(constB193) <=> (v136(constB193) | v145(constB193))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21884, 21774])).
% 7.75/5.88 tff(21886,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB193) <=> (v137(constB193) | v142(constB193)))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21887,plain,
% 7.75/5.88 (v136(constB193) <=> (v137(constB193) | v142(constB193))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21886, 21783])).
% 7.75/5.88 tff(21888,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB193) <=> (v143(constB193) | v144(constB193)))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21889,plain,
% 7.75/5.88 (v142(constB193) <=> (v143(constB193) | v144(constB193))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21888, 21792])).
% 7.75/5.88 tff(21890,plain,
% 7.75/5.88 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0)))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21891,plain,
% 7.75/5.88 ((v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2))))) <=> (v144(constB193) <=> (~((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21892,plain,
% 7.75/5.88 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0)))))),
% 7.75/5.88 inference(monotonicity,[status(thm)],[21891])).
% 7.75/5.88 tff(21893,plain,
% 7.75/5.88 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0)))))),
% 7.75/5.88 inference(transitivity,[status(thm)],[21892, 21890])).
% 7.75/5.88 tff(21894,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~(v88(constB193, bitIndex0) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)))))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21895,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB193) <=> (~((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0))))),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21894, 21893])).
% 7.75/5.88 tff(21896,plain,
% 7.75/5.88 (v144(constB193) <=> (~((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0)))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21895, 21807])).
% 7.75/5.88 tff(21897,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB193, bitIndex1)) <=> v90(constB193, bitIndex1)) | ((~v88(constB193, bitIndex2)) <=> v90(constB193, bitIndex2)) | ((~v88(constB193, bitIndex0)) <=> v90(constB193, bitIndex0))))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21898,plain,
% 7.75/5.88 (~(((~v88(constB193, bitIndex1)) <=> v90(constB193, bitIndex1)) | ((~v88(constB193, bitIndex2)) <=> v90(constB193, bitIndex2)) | ((~v88(constB193, bitIndex0)) <=> v90(constB193, bitIndex0)))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21897, 416])).
% 7.75/5.88 tff(21899,plain,
% 7.75/5.88 ((((~v88(constB193, bitIndex1)) <=> v90(constB193, bitIndex1)) | ((~v88(constB193, bitIndex2)) <=> v90(constB193, bitIndex2)) | ((~v88(constB193, bitIndex0)) <=> v90(constB193, bitIndex0))) | (~((~v88(constB193, bitIndex2)) <=> v90(constB193, bitIndex2)))),
% 7.75/5.88 inference(tautology,[status(thm)],[])).
% 7.75/5.88 tff(21900,plain,
% 7.75/5.88 (~((~v88(constB193, bitIndex2)) <=> v90(constB193, bitIndex2))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21899, 21898])).
% 7.75/5.88 tff(21901,plain,
% 7.75/5.88 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21902,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_192')).
% 7.75/5.88 tff(21903,plain,
% 7.75/5.88 (nextState(constB192, constB193)),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21902, 21901])).
% 7.75/5.88 tff(21904,plain,
% 7.75/5.88 (((~![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))))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21905,plain,
% 7.75/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21906,plain,
% 7.75/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB192, constB193)) | (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21905, 21904])).
% 7.75/5.88 tff(21907,plain,
% 7.75/5.88 (v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193))))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21906, 21903, 433])).
% 7.75/5.88 tff(21908,plain,
% 7.75/5.88 (((~![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))))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21909,plain,
% 7.75/5.88 (((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193)))))) <=> ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21910,plain,
% 7.75/5.88 (((~![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)))))))),
% 7.75/5.88 inference(monotonicity,[status(thm)],[21909])).
% 7.75/5.88 tff(21911,plain,
% 7.75/5.88 (((~![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))))))),
% 7.75/5.88 inference(transitivity,[status(thm)],[21910, 21908])).
% 7.75/5.88 tff(21912,plain,
% 7.75/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v102(constB193)) | (~v1(constB193))))))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21913,plain,
% 7.75/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21912, 21911])).
% 7.75/5.88 tff(21914,plain,
% 7.75/5.88 (v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193))))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21913, 21903, 453])).
% 7.75/5.88 tff(21915,plain,
% 7.75/5.88 ((~v1(constB193)) <=> (~v1(constB193))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21916,axiom,(~v1(constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_193')).
% 7.75/5.88 tff(21917,plain,
% 7.75/5.88 (~v1(constB193)),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21916, 21915])).
% 7.75/5.88 tff(21918,plain,
% 7.75/5.88 (((~v1(constB193)) | (~v102(constB193))) | v1(constB193)),
% 7.75/5.88 inference(tautology,[status(thm)],[])).
% 7.75/5.88 tff(21919,plain,
% 7.75/5.88 ((~v1(constB193)) | (~v102(constB193))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21918, 21917])).
% 7.75/5.88 tff(21920,plain,
% 7.75/5.88 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193)) | (~((~v1(constB193)) | (~v102(constB193))))),
% 7.75/5.88 inference(tautology,[status(thm)],[])).
% 7.75/5.88 tff(21921,plain,
% 7.75/5.88 ((~(v101(constB193) <=> (~((~v1(constB193)) | (~v102(constB193)))))) | (~v101(constB193))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21920, 21919])).
% 7.75/5.88 tff(21922,plain,
% 7.75/5.88 (~v101(constB193)),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21921, 21914])).
% 7.75/5.88 tff(21923,plain,
% 7.75/5.88 (((~v101(constB193)) | (~v110(constB193))) | v101(constB193)),
% 7.75/5.88 inference(tautology,[status(thm)],[])).
% 7.75/5.88 tff(21924,plain,
% 7.75/5.88 ((~v101(constB193)) | (~v110(constB193))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21923, 21922])).
% 7.75/5.88 tff(21925,plain,
% 7.75/5.88 ((~(v100(constB193) <=> (~((~v101(constB193)) | (~v110(constB193)))))) | (~v100(constB193)) | (~((~v101(constB193)) | (~v110(constB193))))),
% 7.75/5.88 inference(tautology,[status(thm)],[])).
% 7.75/5.88 tff(21926,plain,
% 7.75/5.88 (~v100(constB193)),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21925, 21924, 21907])).
% 7.75/5.88 tff(21927,plain,
% 7.75/5.88 (((~![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(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)))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21928,plain,
% 7.75/5.88 ((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)))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21929,plain,
% 7.75/5.88 (((~![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(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))))))),
% 7.75/5.88 inference(monotonicity,[status(thm)],[21928])).
% 7.75/5.88 tff(21930,plain,
% 7.75/5.88 (((~![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(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)))))),
% 7.75/5.88 inference(transitivity,[status(thm)],[21929, 21927])).
% 7.75/5.88 tff(21931,plain,
% 7.75/5.88 ((~![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(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21932,plain,
% 7.75/5.88 ((~![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(constB193) | (~nextState(constB192, constB193)) | (~(((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))))),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21931, 21930])).
% 7.75/5.88 tff(21933,plain,
% 7.75/5.88 (v100(constB193) | (~(((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21932, 21903, 482])).
% 7.75/5.88 tff(21934,plain,
% 7.75/5.88 (~(((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21933, 21926])).
% 7.75/5.88 tff(21935,plain,
% 7.75/5.88 ((((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))) | (~((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)))),
% 7.75/5.88 inference(tautology,[status(thm)],[])).
% 7.75/5.88 tff(21936,plain,
% 7.75/5.88 (~((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21935, 21934])).
% 7.75/5.88 tff(21937,plain,
% 7.75/5.88 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21938,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_191')).
% 7.75/5.88 tff(21939,plain,
% 7.75/5.88 (nextState(constB191, constB192)),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21938, 21937])).
% 7.75/5.88 tff(21940,plain,
% 7.75/5.88 (((~![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(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)))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21941,plain,
% 7.75/5.88 ((~![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(constB191, constB192)) | (~(((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0)))))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21942,plain,
% 7.75/5.88 ((~![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(constB191, constB192)) | (~(((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0))))),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21941, 21940])).
% 7.75/5.88 tff(21943,plain,
% 7.75/5.88 (~(((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0)))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21942, 21939, 505])).
% 7.75/5.88 tff(21944,plain,
% 7.75/5.88 ((((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0))) | (~((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)))),
% 7.75/5.88 inference(tautology,[status(thm)],[])).
% 7.75/5.88 tff(21945,plain,
% 7.75/5.88 (~((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21944, 21943])).
% 7.75/5.88 tff(21946,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB191) <=> v26(constB191))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21947,plain,
% 7.75/5.88 (v111(constB191) <=> v26(constB191)),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21946, 524])).
% 7.75/5.88 tff(21948,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21949,plain,
% 7.75/5.88 (~v26(constB191)),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21948, 536])).
% 7.75/5.88 tff(21950,plain,
% 7.75/5.88 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191)) | v26(constB191)),
% 7.75/5.88 inference(tautology,[status(thm)],[])).
% 7.75/5.88 tff(21951,plain,
% 7.75/5.88 ((~(v111(constB191) <=> v26(constB191))) | (~v111(constB191))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21950, 21949])).
% 7.75/5.88 tff(21952,plain,
% 7.75/5.88 (~v111(constB191)),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21951, 21947])).
% 7.75/5.88 tff(21953,plain,
% 7.75/5.88 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB191) | (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB191) | (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21954,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB191) | (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)))))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21955,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB191) | (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1))))),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21954, 21953])).
% 7.75/5.88 tff(21956,plain,
% 7.75/5.88 (v111(constB191) | (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1))))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21955, 554])).
% 7.75/5.88 tff(21957,plain,
% 7.75/5.88 (~(((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21956, 21952])).
% 7.75/5.88 tff(21958,plain,
% 7.75/5.88 ((((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1))) | (~((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)))),
% 7.75/5.88 inference(tautology,[status(thm)],[])).
% 7.75/5.88 tff(21959,plain,
% 7.75/5.88 (~((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21958, 21957])).
% 7.75/5.88 tff(21960,plain,
% 7.75/5.88 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0))))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21961,plain,
% 7.75/5.88 ((v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex2))))) <=> (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0)))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21962,plain,
% 7.75/5.88 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0))))))),
% 7.75/5.88 inference(monotonicity,[status(thm)],[21961])).
% 7.75/5.88 tff(21963,plain,
% 7.75/5.88 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0))))))),
% 7.75/5.88 inference(transitivity,[status(thm)],[21962, 21960])).
% 7.75/5.88 tff(21964,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex2)))))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21965,plain,
% 7.75/5.88 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0)))))),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21964, 21963])).
% 7.75/5.88 tff(21966,plain,
% 7.75/5.88 (v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0))))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21965, 801])).
% 7.75/5.88 tff(21967,plain,
% 7.75/5.88 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21968,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_190')).
% 7.75/5.88 tff(21969,plain,
% 7.75/5.88 (nextState(constB190, constB191)),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21968, 21967])).
% 7.75/5.88 tff(21970,plain,
% 7.75/5.88 (((~![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))))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21971,plain,
% 7.75/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))))),
% 7.75/5.88 inference(quant_inst,[status(thm)],[])).
% 7.75/5.88 tff(21972,plain,
% 7.75/5.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB190, constB191)) | (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))),
% 7.75/5.88 inference(modus_ponens,[status(thm)],[21971, 21970])).
% 7.75/5.88 tff(21973,plain,
% 7.75/5.88 (v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191))))),
% 7.75/5.88 inference(unit_resolution,[status(thm)],[21972, 21969, 433])).
% 7.75/5.88 tff(21974,plain,
% 7.75/5.88 (((~![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))))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21975,plain,
% 7.75/5.88 (((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191)))))) <=> ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))))),
% 7.75/5.88 inference(rewrite,[status(thm)],[])).
% 7.75/5.88 tff(21976,plain,
% 7.75/5.88 (((~![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)))))))),
% 7.75/5.89 inference(monotonicity,[status(thm)],[21975])).
% 7.75/5.89 tff(21977,plain,
% 7.75/5.89 (((~![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))))))),
% 7.75/5.89 inference(transitivity,[status(thm)],[21976, 21974])).
% 7.75/5.89 tff(21978,plain,
% 7.75/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v102(constB191)) | (~v1(constB191))))))),
% 7.75/5.89 inference(quant_inst,[status(thm)],[])).
% 7.75/5.89 tff(21979,plain,
% 7.75/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))),
% 7.75/5.89 inference(modus_ponens,[status(thm)],[21978, 21977])).
% 7.75/5.89 tff(21980,plain,
% 7.75/5.89 (v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191))))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[21979, 21969, 453])).
% 7.75/5.89 tff(21981,plain,
% 7.75/5.89 ((~v1(constB191)) <=> (~v1(constB191))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(21982,axiom,(~v1(constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_191')).
% 7.75/5.89 tff(21983,plain,
% 7.75/5.89 (~v1(constB191)),
% 7.75/5.89 inference(modus_ponens,[status(thm)],[21982, 21981])).
% 7.75/5.89 tff(21984,plain,
% 7.75/5.89 (((~v1(constB191)) | (~v102(constB191))) | v1(constB191)),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(21985,plain,
% 7.75/5.89 ((~v1(constB191)) | (~v102(constB191))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[21984, 21983])).
% 7.75/5.89 tff(21986,plain,
% 7.75/5.89 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191)) | (~((~v1(constB191)) | (~v102(constB191))))),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(21987,plain,
% 7.75/5.89 ((~(v101(constB191) <=> (~((~v1(constB191)) | (~v102(constB191)))))) | (~v101(constB191))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[21986, 21985])).
% 7.75/5.89 tff(21988,plain,
% 7.75/5.89 (~v101(constB191)),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[21987, 21980])).
% 7.75/5.89 tff(21989,plain,
% 7.75/5.89 (((~v101(constB191)) | (~v110(constB191))) | v101(constB191)),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(21990,plain,
% 7.75/5.89 ((~v101(constB191)) | (~v110(constB191))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[21989, 21988])).
% 7.75/5.89 tff(21991,plain,
% 7.75/5.89 ((~(v100(constB191) <=> (~((~v101(constB191)) | (~v110(constB191)))))) | (~v100(constB191)) | (~((~v101(constB191)) | (~v110(constB191))))),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(21992,plain,
% 7.75/5.89 (~v100(constB191)),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[21991, 21990, 21973])).
% 7.75/5.89 tff(21993,plain,
% 7.75/5.89 (((~![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(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)))))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(21994,plain,
% 7.75/5.89 ((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)))))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(21995,plain,
% 7.75/5.89 (((~![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(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))))))),
% 7.75/5.89 inference(monotonicity,[status(thm)],[21994])).
% 7.75/5.89 tff(21996,plain,
% 7.75/5.89 (((~![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(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)))))),
% 7.75/5.89 inference(transitivity,[status(thm)],[21995, 21993])).
% 7.75/5.89 tff(21997,plain,
% 7.75/5.89 ((~![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(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))))),
% 7.75/5.89 inference(quant_inst,[status(thm)],[])).
% 7.75/5.89 tff(21998,plain,
% 7.75/5.89 ((~![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(constB191) | (~nextState(constB190, constB191)) | (~(((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))))),
% 7.75/5.89 inference(modus_ponens,[status(thm)],[21997, 21996])).
% 7.75/5.89 tff(21999,plain,
% 7.75/5.89 (v100(constB191) | (~(((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[21998, 21969, 482])).
% 7.75/5.89 tff(22000,plain,
% 7.75/5.89 (~(((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[21999, 21992])).
% 7.75/5.89 tff(22001,plain,
% 7.75/5.89 ((((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))) | (~((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)))),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(22002,plain,
% 7.75/5.89 (~((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22001, 22000])).
% 7.75/5.89 tff(22003,plain,
% 7.75/5.89 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(22004,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_189')).
% 7.75/5.89 tff(22005,plain,
% 7.75/5.89 (nextState(constB189, constB190)),
% 7.75/5.89 inference(modus_ponens,[status(thm)],[22004, 22003])).
% 7.75/5.89 tff(22006,plain,
% 7.75/5.89 (((~![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(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)))))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(22007,plain,
% 7.75/5.89 ((~![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(constB189, constB190)) | (~(((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0)))))),
% 7.75/5.89 inference(quant_inst,[status(thm)],[])).
% 7.75/5.89 tff(22008,plain,
% 7.75/5.89 ((~![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(constB189, constB190)) | (~(((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0))))),
% 7.75/5.89 inference(modus_ponens,[status(thm)],[22007, 22006])).
% 7.75/5.89 tff(22009,plain,
% 7.75/5.89 (~(((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0)))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22008, 22005, 505])).
% 7.75/5.89 tff(22010,plain,
% 7.75/5.89 ((((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0))) | (~((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)))),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(22011,plain,
% 7.75/5.89 (~((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22010, 22009])).
% 7.75/5.89 tff(22012,plain,
% 7.75/5.89 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB189) <=> v26(constB189))),
% 7.75/5.89 inference(quant_inst,[status(thm)],[])).
% 7.75/5.89 tff(22013,plain,
% 7.75/5.89 (v111(constB189) <=> v26(constB189)),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22012, 524])).
% 7.75/5.89 tff(22014,plain,
% 7.75/5.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 7.75/5.89 inference(quant_inst,[status(thm)],[])).
% 7.75/5.89 tff(22015,plain,
% 7.75/5.89 (~v26(constB189)),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22014, 536])).
% 7.75/5.89 tff(22016,plain,
% 7.75/5.89 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189)) | v26(constB189)),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(22017,plain,
% 7.75/5.89 ((~(v111(constB189) <=> v26(constB189))) | (~v111(constB189))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22016, 22015])).
% 7.75/5.89 tff(22018,plain,
% 7.75/5.89 (~v111(constB189)),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22017, 22013])).
% 7.75/5.89 tff(22019,plain,
% 7.75/5.89 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB189) | (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB189) | (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)))))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(22020,plain,
% 7.75/5.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB189) | (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)))))),
% 7.75/5.89 inference(quant_inst,[status(thm)],[])).
% 7.75/5.89 tff(22021,plain,
% 7.75/5.89 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB189) | (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1))))),
% 7.75/5.89 inference(modus_ponens,[status(thm)],[22020, 22019])).
% 7.75/5.89 tff(22022,plain,
% 7.75/5.89 (v111(constB189) | (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1))))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22021, 554])).
% 7.75/5.89 tff(22023,plain,
% 7.75/5.89 (~(((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22022, 22018])).
% 7.75/5.89 tff(22024,plain,
% 7.75/5.89 ((((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1))) | (~((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)))),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(22025,plain,
% 7.75/5.89 (~((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22024, 22023])).
% 7.75/5.89 tff(22026,plain,
% 7.75/5.89 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2))))))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(22027,plain,
% 7.75/5.89 ((v123(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2))))) <=> (v123(constB189) <=> (~(v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2)))))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(22028,plain,
% 7.75/5.89 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2))))))),
% 7.75/5.89 inference(monotonicity,[status(thm)],[22027])).
% 7.75/5.89 tff(22029,plain,
% 7.75/5.89 (((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2))))))),
% 7.75/5.89 inference(transitivity,[status(thm)],[22028, 22026])).
% 7.75/5.89 tff(22030,plain,
% 7.75/5.89 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)))))),
% 7.75/5.89 inference(quant_inst,[status(thm)],[])).
% 7.75/5.89 tff(22031,plain,
% 7.75/5.89 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB189) <=> (~(v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2)))))),
% 7.75/5.89 inference(modus_ponens,[status(thm)],[22030, 22029])).
% 7.75/5.89 tff(22032,plain,
% 7.75/5.89 (v123(constB189) <=> (~(v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2))))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22031, 880])).
% 7.75/5.89 tff(22033,plain,
% 7.75/5.89 (((~![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))))))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(22034,plain,
% 7.75/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))))),
% 7.75/5.89 inference(quant_inst,[status(thm)],[])).
% 7.75/5.89 tff(22035,plain,
% 7.75/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB188, constB189)) | (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))),
% 7.75/5.89 inference(modus_ponens,[status(thm)],[22034, 22033])).
% 7.75/5.89 tff(22036,plain,
% 7.75/5.89 (v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189))))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22035, 12230, 433])).
% 7.75/5.89 tff(22037,plain,
% 7.75/5.89 (((~![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))))))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(22038,plain,
% 7.75/5.89 (((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189)))))) <=> ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(22039,plain,
% 7.75/5.89 (((~![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)))))))),
% 7.75/5.89 inference(monotonicity,[status(thm)],[22038])).
% 7.75/5.89 tff(22040,plain,
% 7.75/5.89 (((~![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))))))),
% 7.75/5.89 inference(transitivity,[status(thm)],[22039, 22037])).
% 7.75/5.89 tff(22041,plain,
% 7.75/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v102(constB189)) | (~v1(constB189))))))),
% 7.75/5.89 inference(quant_inst,[status(thm)],[])).
% 7.75/5.89 tff(22042,plain,
% 7.75/5.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))),
% 7.75/5.89 inference(modus_ponens,[status(thm)],[22041, 22040])).
% 7.75/5.89 tff(22043,plain,
% 7.75/5.89 (v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189))))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22042, 12230, 453])).
% 7.75/5.89 tff(22044,plain,
% 7.75/5.89 ((~v1(constB189)) <=> (~v1(constB189))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(22045,axiom,(~v1(constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_189')).
% 7.75/5.89 tff(22046,plain,
% 7.75/5.89 (~v1(constB189)),
% 7.75/5.89 inference(modus_ponens,[status(thm)],[22045, 22044])).
% 7.75/5.89 tff(22047,plain,
% 7.75/5.89 (((~v1(constB189)) | (~v102(constB189))) | v1(constB189)),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(22048,plain,
% 7.75/5.89 ((~v1(constB189)) | (~v102(constB189))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22047, 22046])).
% 7.75/5.89 tff(22049,plain,
% 7.75/5.89 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189)) | (~((~v1(constB189)) | (~v102(constB189))))),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(22050,plain,
% 7.75/5.89 ((~(v101(constB189) <=> (~((~v1(constB189)) | (~v102(constB189)))))) | (~v101(constB189))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22049, 22048])).
% 7.75/5.89 tff(22051,plain,
% 7.75/5.89 (~v101(constB189)),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22050, 22043])).
% 7.75/5.89 tff(22052,plain,
% 7.75/5.89 (((~v101(constB189)) | (~v110(constB189))) | v101(constB189)),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(22053,plain,
% 7.75/5.89 ((~v101(constB189)) | (~v110(constB189))),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22052, 22051])).
% 7.75/5.89 tff(22054,plain,
% 7.75/5.89 ((~(v100(constB189) <=> (~((~v101(constB189)) | (~v110(constB189)))))) | (~v100(constB189)) | (~((~v101(constB189)) | (~v110(constB189))))),
% 7.75/5.89 inference(tautology,[status(thm)],[])).
% 7.75/5.89 tff(22055,plain,
% 7.75/5.89 (~v100(constB189)),
% 7.75/5.89 inference(unit_resolution,[status(thm)],[22054, 22053, 22036])).
% 7.75/5.89 tff(22056,plain,
% 7.75/5.89 (((~![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(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)))))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(22057,plain,
% 7.75/5.89 ((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)))))),
% 7.75/5.89 inference(rewrite,[status(thm)],[])).
% 7.75/5.89 tff(22058,plain,
% 7.75/5.89 (((~![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(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))))))),
% 7.75/5.89 inference(monotonicity,[status(thm)],[22057])).
% 7.75/5.89 tff(22059,plain,
% 7.75/5.89 (((~![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(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)))))),
% 7.75/5.90 inference(transitivity,[status(thm)],[22058, 22056])).
% 7.75/5.90 tff(22060,plain,
% 7.75/5.90 ((~![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(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))))),
% 7.75/5.90 inference(quant_inst,[status(thm)],[])).
% 7.75/5.90 tff(22061,plain,
% 7.75/5.90 ((~![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(constB189) | (~nextState(constB188, constB189)) | (~(((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))))),
% 7.75/5.90 inference(modus_ponens,[status(thm)],[22060, 22059])).
% 7.75/5.90 tff(22062,plain,
% 7.75/5.90 (v100(constB189) | (~(((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))))),
% 7.75/5.90 inference(unit_resolution,[status(thm)],[22061, 12230, 482])).
% 7.75/5.90 tff(22063,plain,
% 7.75/5.90 (~(((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))),
% 7.75/5.90 inference(unit_resolution,[status(thm)],[22062, 22055])).
% 7.75/5.90 tff(22064,plain,
% 7.75/5.90 ((((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))) | (~((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)))),
% 7.75/5.90 inference(tautology,[status(thm)],[])).
% 7.75/5.90 tff(22065,plain,
% 7.75/5.90 (~((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2))),
% 7.75/5.90 inference(unit_resolution,[status(thm)],[22064, 22063])).
% 7.75/5.90 tff(22066,plain,
% 7.75/5.90 (((~![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(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)))))),
% 7.75/5.90 inference(rewrite,[status(thm)],[])).
% 7.75/5.90 tff(22067,plain,
% 7.75/5.90 ((~![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(constB187, constB188)) | (~(((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0)))))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22068,plain,
% 7.79/5.90 ((~![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(constB187, constB188)) | (~(((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0))))),
% 7.79/5.90 inference(modus_ponens,[status(thm)],[22067, 22066])).
% 7.79/5.90 tff(22069,plain,
% 7.79/5.90 (~(((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0)))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22068, 12276, 505])).
% 7.79/5.90 tff(22070,plain,
% 7.79/5.90 ((((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0))) | (~((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22071,plain,
% 7.79/5.90 (~((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22070, 22069])).
% 7.79/5.90 tff(22072,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB187) <=> v26(constB187))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22073,plain,
% 7.79/5.90 (v111(constB187) <=> v26(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22072, 524])).
% 7.79/5.90 tff(22074,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22075,plain,
% 7.79/5.90 (~v26(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22074, 536])).
% 7.79/5.90 tff(22076,plain,
% 7.79/5.90 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187)) | v26(constB187)),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22077,plain,
% 7.79/5.90 ((~(v111(constB187) <=> v26(constB187))) | (~v111(constB187))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22076, 22075])).
% 7.79/5.90 tff(22078,plain,
% 7.79/5.90 (~v111(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22077, 22073])).
% 7.79/5.90 tff(22079,plain,
% 7.79/5.90 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB187) | (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB187) | (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)))))),
% 7.79/5.90 inference(rewrite,[status(thm)],[])).
% 7.79/5.90 tff(22080,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB187) | (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)))))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22081,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB187) | (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1))))),
% 7.79/5.90 inference(modus_ponens,[status(thm)],[22080, 22079])).
% 7.79/5.90 tff(22082,plain,
% 7.79/5.90 (v111(constB187) | (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1))))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22081, 554])).
% 7.79/5.90 tff(22083,plain,
% 7.79/5.90 (~(((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22082, 22078])).
% 7.79/5.90 tff(22084,plain,
% 7.79/5.90 ((((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1))) | (~((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22085,plain,
% 7.79/5.90 (~((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22084, 22083])).
% 7.79/5.90 tff(22086,plain,
% 7.79/5.90 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))))))),
% 7.79/5.90 inference(rewrite,[status(thm)],[])).
% 7.79/5.90 tff(22087,plain,
% 7.79/5.90 ((v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1))))) <=> (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))))),
% 7.79/5.90 inference(rewrite,[status(thm)],[])).
% 7.79/5.90 tff(22088,plain,
% 7.79/5.90 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))))))),
% 7.79/5.90 inference(monotonicity,[status(thm)],[22087])).
% 7.79/5.90 tff(22089,plain,
% 7.79/5.90 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))))))),
% 7.79/5.90 inference(transitivity,[status(thm)],[22088, 22086])).
% 7.79/5.90 tff(22090,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)))))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22091,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))))),
% 7.79/5.90 inference(modus_ponens,[status(thm)],[22090, 22089])).
% 7.79/5.90 tff(22092,plain,
% 7.79/5.90 (v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22091, 959])).
% 7.79/5.90 tff(22093,plain,
% 7.79/5.90 ((~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))) | v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22094,plain,
% 7.79/5.90 (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22093, 21624, 21602, 21580])).
% 7.79/5.90 tff(22095,plain,
% 7.79/5.90 ((~(v122(constB187) <=> (~(v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))))) | v122(constB187) | (v90(constB187, bitIndex2) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex0)))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22096,plain,
% 7.79/5.90 (v122(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22095, 22094, 22092])).
% 7.79/5.90 tff(22097,plain,
% 7.79/5.90 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB187)) | (~(v130(constB187, bitIndex0) | v130(constB187, bitIndex1) | (~v130(constB187, bitIndex2)))))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB187)) | (~(v130(constB187, bitIndex0) | v130(constB187, bitIndex1) | (~v130(constB187, bitIndex2)))))),
% 7.79/5.90 inference(rewrite,[status(thm)],[])).
% 7.79/5.90 tff(22098,plain,
% 7.79/5.90 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | ((~v122(constB187)) | (~(v130(constB187, bitIndex0) | v130(constB187, bitIndex1) | (~v130(constB187, bitIndex2)))))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22099,plain,
% 7.79/5.90 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)))))) | (~v122(constB187)) | (~(v130(constB187, bitIndex0) | v130(constB187, bitIndex1) | (~v130(constB187, bitIndex2))))),
% 7.79/5.90 inference(modus_ponens,[status(thm)],[22098, 22097])).
% 7.79/5.90 tff(22100,plain,
% 7.79/5.90 ((~v122(constB187)) | (~(v130(constB187, bitIndex0) | v130(constB187, bitIndex1) | (~v130(constB187, bitIndex2))))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22099, 4563])).
% 7.79/5.90 tff(22101,plain,
% 7.79/5.90 (~(v130(constB187, bitIndex0) | v130(constB187, bitIndex1) | (~v130(constB187, bitIndex2)))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22100, 22096])).
% 7.79/5.90 tff(22102,plain,
% 7.79/5.90 ((v130(constB187, bitIndex0) | v130(constB187, bitIndex1) | (~v130(constB187, bitIndex2))) | v130(constB187, bitIndex2)),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22103,plain,
% 7.79/5.90 (v130(constB187, bitIndex2)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22102, 22101])).
% 7.79/5.90 tff(22104,plain,
% 7.79/5.90 (((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | v127(constB187, bitIndex2) | (~v130(constB187, bitIndex2))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22105,plain,
% 7.79/5.90 (v127(constB187, bitIndex2)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22104, 22103, 22085])).
% 7.79/5.90 tff(22106,plain,
% 7.79/5.90 (((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | v129(constB188, bitIndex2) | (~v127(constB187, bitIndex2))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22107,plain,
% 7.79/5.90 (v129(constB188, bitIndex2)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22106, 22105, 22071])).
% 7.79/5.90 tff(22108,plain,
% 7.79/5.90 (((~![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))))))),
% 7.79/5.90 inference(rewrite,[status(thm)],[])).
% 7.79/5.90 tff(22109,plain,
% 7.79/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22110,plain,
% 7.79/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB187, constB188)) | (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))),
% 7.79/5.90 inference(modus_ponens,[status(thm)],[22109, 22108])).
% 7.79/5.90 tff(22111,plain,
% 7.79/5.90 (v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188))))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22110, 12276, 433])).
% 7.79/5.90 tff(22112,plain,
% 7.79/5.90 (((~![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))))))),
% 7.79/5.90 inference(rewrite,[status(thm)],[])).
% 7.79/5.90 tff(22113,plain,
% 7.79/5.90 (((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188)))))) <=> ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))))),
% 7.79/5.90 inference(rewrite,[status(thm)],[])).
% 7.79/5.90 tff(22114,plain,
% 7.79/5.90 (((~![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)))))))),
% 7.79/5.90 inference(monotonicity,[status(thm)],[22113])).
% 7.79/5.90 tff(22115,plain,
% 7.79/5.90 (((~![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))))))),
% 7.79/5.90 inference(transitivity,[status(thm)],[22114, 22112])).
% 7.79/5.90 tff(22116,plain,
% 7.79/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v102(constB188)) | (~v1(constB188))))))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22117,plain,
% 7.79/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))),
% 7.79/5.90 inference(modus_ponens,[status(thm)],[22116, 22115])).
% 7.79/5.90 tff(22118,plain,
% 7.79/5.90 (v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188))))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22117, 12276, 453])).
% 7.79/5.90 tff(22119,plain,
% 7.79/5.90 (((~![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)))),
% 7.79/5.90 inference(rewrite,[status(thm)],[])).
% 7.79/5.90 tff(22120,plain,
% 7.79/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188)))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22121,plain,
% 7.79/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB187, constB188)) | ((~v102(constB188)) <=> v104(constB188))),
% 7.79/5.90 inference(modus_ponens,[status(thm)],[22120, 22119])).
% 7.79/5.90 tff(22122,plain,
% 7.79/5.90 ((~v102(constB188)) <=> v104(constB188)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22121, 12276, 3966])).
% 7.79/5.90 tff(22123,plain,
% 7.79/5.90 (((~![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)))),
% 7.79/5.90 inference(rewrite,[status(thm)],[])).
% 7.79/5.90 tff(22124,plain,
% 7.79/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187)))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22125,plain,
% 7.79/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v1(constB187))),
% 7.79/5.90 inference(modus_ponens,[status(thm)],[22124, 22123])).
% 7.79/5.90 tff(22126,plain,
% 7.79/5.90 (v104(constB188) <=> v1(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22125, 12276, 3980])).
% 7.79/5.90 tff(22127,plain,
% 7.79/5.90 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188)) | v1(constB187)),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22128,plain,
% 7.79/5.90 ((~(v104(constB188) <=> v1(constB187))) | (~v104(constB188))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22127, 12340])).
% 7.79/5.90 tff(22129,plain,
% 7.79/5.90 (~v104(constB188)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22128, 22126])).
% 7.79/5.90 tff(22130,plain,
% 7.79/5.90 ((~((~v102(constB188)) <=> v104(constB188))) | v102(constB188) | v104(constB188)),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22131,plain,
% 7.79/5.90 (v102(constB188)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22130, 22129, 22122])).
% 7.79/5.90 tff(22132,plain,
% 7.79/5.90 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v1(constB188)) | (~v102(constB188))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22133,plain,
% 7.79/5.90 ((~((~v1(constB188)) | (~v102(constB188)))) | (~v102(constB188))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22132, 12247])).
% 7.79/5.90 tff(22134,plain,
% 7.79/5.90 (~((~v1(constB188)) | (~v102(constB188)))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22133, 22131])).
% 7.79/5.90 tff(22135,plain,
% 7.79/5.90 ((~(v101(constB188) <=> (~((~v1(constB188)) | (~v102(constB188)))))) | v101(constB188) | ((~v1(constB188)) | (~v102(constB188)))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22136,plain,
% 7.79/5.90 (v101(constB188)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22135, 22134, 22118])).
% 7.79/5.90 tff(22137,plain,
% 7.79/5.90 (((~![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)))),
% 7.79/5.90 inference(rewrite,[status(thm)],[])).
% 7.79/5.90 tff(22138,plain,
% 7.79/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187)))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22139,plain,
% 7.79/5.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB187, constB188)) | (v110(constB188) <=> v108(constB187))),
% 7.79/5.90 inference(modus_ponens,[status(thm)],[22138, 22137])).
% 7.79/5.90 tff(22140,plain,
% 7.79/5.90 (v110(constB188) <=> v108(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22139, 12276, 4007])).
% 7.79/5.90 tff(22141,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB187) <=> (v111(constB187) | v112(constB187)))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22142,plain,
% 7.79/5.90 (v108(constB187) <=> (v111(constB187) | v112(constB187))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22141, 4018])).
% 7.79/5.90 tff(22143,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22144,plain,
% 7.79/5.90 (v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187))))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22143, 4030])).
% 7.79/5.90 tff(22145,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB187) <=> (v114(constB187) | v125(constB187)))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22146,plain,
% 7.79/5.90 (v113(constB187) <=> (v114(constB187) | v125(constB187))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22145, 4039])).
% 7.79/5.90 tff(22147,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB187) <=> (v115(constB187) | v124(constB187)))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22148,plain,
% 7.79/5.90 (v114(constB187) <=> (v115(constB187) | v124(constB187))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22147, 4048])).
% 7.79/5.90 tff(22149,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB187) <=> (v116(constB187) | v123(constB187)))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22150,plain,
% 7.79/5.90 (v115(constB187) <=> (v116(constB187) | v123(constB187))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22149, 4057])).
% 7.79/5.90 tff(22151,plain,
% 7.79/5.90 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB187) <=> (v117(constB187) | v122(constB187)))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22152,plain,
% 7.79/5.90 (v116(constB187) <=> (v117(constB187) | v122(constB187))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22151, 4066])).
% 7.79/5.90 tff(22153,plain,
% 7.79/5.90 ((v117(constB187) | v122(constB187)) | (~v122(constB187))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22154,plain,
% 7.79/5.90 (v117(constB187) | v122(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22153, 22096])).
% 7.79/5.90 tff(22155,plain,
% 7.79/5.90 ((~(v116(constB187) <=> (v117(constB187) | v122(constB187)))) | v116(constB187) | (~(v117(constB187) | v122(constB187)))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22156,plain,
% 7.79/5.90 (v116(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22155, 22154, 22152])).
% 7.79/5.90 tff(22157,plain,
% 7.79/5.90 ((v116(constB187) | v123(constB187)) | (~v116(constB187))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22158,plain,
% 7.79/5.90 (v116(constB187) | v123(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22157, 22156])).
% 7.79/5.90 tff(22159,plain,
% 7.79/5.90 ((~(v115(constB187) <=> (v116(constB187) | v123(constB187)))) | v115(constB187) | (~(v116(constB187) | v123(constB187)))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22160,plain,
% 7.79/5.90 (v115(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22159, 22158, 22150])).
% 7.79/5.90 tff(22161,plain,
% 7.79/5.90 ((v115(constB187) | v124(constB187)) | (~v115(constB187))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22162,plain,
% 7.79/5.90 (v115(constB187) | v124(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22161, 22160])).
% 7.79/5.90 tff(22163,plain,
% 7.79/5.90 ((~(v114(constB187) <=> (v115(constB187) | v124(constB187)))) | v114(constB187) | (~(v115(constB187) | v124(constB187)))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22164,plain,
% 7.79/5.90 (v114(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22163, 22162, 22148])).
% 7.79/5.90 tff(22165,plain,
% 7.79/5.90 ((v114(constB187) | v125(constB187)) | (~v114(constB187))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22166,plain,
% 7.79/5.90 (v114(constB187) | v125(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22165, 22164])).
% 7.79/5.90 tff(22167,plain,
% 7.79/5.90 ((~(v113(constB187) <=> (v114(constB187) | v125(constB187)))) | v113(constB187) | (~(v114(constB187) | v125(constB187)))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22168,plain,
% 7.79/5.90 (v113(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22167, 22166, 22146])).
% 7.79/5.90 tff(22169,plain,
% 7.79/5.90 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB187)) <=> v111(constB187))),
% 7.79/5.90 inference(quant_inst,[status(thm)],[])).
% 7.79/5.90 tff(22170,plain,
% 7.79/5.90 ((~v126(constB187)) <=> v111(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22169, 4118])).
% 7.79/5.90 tff(22171,plain,
% 7.79/5.90 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187) | v111(constB187)),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22172,plain,
% 7.79/5.90 ((~((~v126(constB187)) <=> v111(constB187))) | v126(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22171, 22078])).
% 7.79/5.90 tff(22173,plain,
% 7.79/5.90 (v126(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22172, 22170])).
% 7.79/5.90 tff(22174,plain,
% 7.79/5.90 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187)) | (~v126(constB187))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22175,plain,
% 7.79/5.90 ((~((~v113(constB187)) | (~v126(constB187)))) | (~v113(constB187))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22174, 22173])).
% 7.79/5.90 tff(22176,plain,
% 7.79/5.90 (~((~v113(constB187)) | (~v126(constB187)))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22175, 22168])).
% 7.79/5.90 tff(22177,plain,
% 7.79/5.90 ((~(v112(constB187) <=> (~((~v113(constB187)) | (~v126(constB187)))))) | v112(constB187) | ((~v113(constB187)) | (~v126(constB187)))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22178,plain,
% 7.79/5.90 (v112(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22177, 22176, 22144])).
% 7.79/5.90 tff(22179,plain,
% 7.79/5.90 ((v111(constB187) | v112(constB187)) | (~v112(constB187))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22180,plain,
% 7.79/5.90 (v111(constB187) | v112(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22179, 22178])).
% 7.79/5.90 tff(22181,plain,
% 7.79/5.90 ((~(v108(constB187) <=> (v111(constB187) | v112(constB187)))) | v108(constB187) | (~(v111(constB187) | v112(constB187)))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22182,plain,
% 7.79/5.90 (v108(constB187)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22181, 22180, 22142])).
% 7.79/5.90 tff(22183,plain,
% 7.79/5.90 ((~(v110(constB188) <=> v108(constB187))) | v110(constB188) | (~v108(constB187))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22184,plain,
% 7.79/5.90 (v110(constB188)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22183, 22182, 22140])).
% 7.79/5.90 tff(22185,plain,
% 7.79/5.90 ((~((~v101(constB188)) | (~v110(constB188)))) | (~v101(constB188)) | (~v110(constB188))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22186,plain,
% 7.79/5.90 (~((~v101(constB188)) | (~v110(constB188)))),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22185, 22184, 22136])).
% 7.79/5.90 tff(22187,plain,
% 7.79/5.90 ((~(v100(constB188) <=> (~((~v101(constB188)) | (~v110(constB188)))))) | v100(constB188) | ((~v101(constB188)) | (~v110(constB188)))),
% 7.79/5.90 inference(tautology,[status(thm)],[])).
% 7.79/5.90 tff(22188,plain,
% 7.79/5.90 (v100(constB188)),
% 7.79/5.90 inference(unit_resolution,[status(thm)],[22187, 22186, 22111])).
% 7.79/5.90 tff(22189,plain,
% 7.79/5.90 (((~![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)))))),
% 7.79/5.90 inference(rewrite,[status(thm)],[])).
% 7.79/5.90 tff(22190,plain,
% 7.79/5.90 ((~![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)))))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22191,plain,
% 7.79/5.91 ((~![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))))),
% 7.79/5.91 inference(modus_ponens,[status(thm)],[22190, 22189])).
% 7.79/5.91 tff(22192,plain,
% 7.79/5.91 ((~v100(constB188)) | (~(((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0))))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22191, 4151])).
% 7.79/5.91 tff(22193,plain,
% 7.79/5.91 (~(((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0)))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22192, 22188])).
% 7.79/5.91 tff(22194,plain,
% 7.79/5.91 ((((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0))) | (~((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22195,plain,
% 7.79/5.91 (~((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22194, 22193])).
% 7.79/5.91 tff(22196,plain,
% 7.79/5.91 (((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22197,plain,
% 7.79/5.91 (v90(constB188, bitIndex2)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22196, 22195, 22107])).
% 7.79/5.91 tff(22198,plain,
% 7.79/5.91 (((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | v90(constB189, bitIndex2) | (~v90(constB188, bitIndex2))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22199,plain,
% 7.79/5.91 (v90(constB189, bitIndex2)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22198, 22197, 22065])).
% 7.79/5.91 tff(22200,plain,
% 7.79/5.91 ((((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))) | (~((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22201,plain,
% 7.79/5.91 (~((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22200, 22063])).
% 7.79/5.91 tff(22202,plain,
% 7.79/5.91 ((((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0))) | (~((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22203,plain,
% 7.79/5.91 (~((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22202, 22069])).
% 7.79/5.91 tff(22204,plain,
% 7.79/5.91 ((((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1))) | (~((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22205,plain,
% 7.79/5.91 (~((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22204, 22083])).
% 7.79/5.91 tff(22206,plain,
% 7.79/5.91 ((v130(constB187, bitIndex0) | v130(constB187, bitIndex1) | (~v130(constB187, bitIndex2))) | (~v130(constB187, bitIndex0))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22207,plain,
% 7.79/5.91 (~v130(constB187, bitIndex0)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22206, 22101])).
% 7.79/5.91 tff(22208,plain,
% 7.79/5.91 (((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)) | (~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22209,plain,
% 7.79/5.91 (~v127(constB187, bitIndex0)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22208, 22207, 22205])).
% 7.79/5.91 tff(22210,plain,
% 7.79/5.91 (((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0)) | (~v129(constB188, bitIndex0)) | v127(constB187, bitIndex0)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22211,plain,
% 7.79/5.91 (~v129(constB188, bitIndex0)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22210, 22209, 22203])).
% 7.79/5.91 tff(22212,plain,
% 7.79/5.91 ((((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0))) | (~((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22213,plain,
% 7.79/5.91 (~((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22212, 22193])).
% 7.79/5.91 tff(22214,plain,
% 7.79/5.91 (((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0)) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22215,plain,
% 7.79/5.91 (~v90(constB188, bitIndex0)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22214, 22213, 22211])).
% 7.79/5.91 tff(22216,plain,
% 7.79/5.91 (((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0)) | (~v90(constB189, bitIndex0)) | v90(constB188, bitIndex0)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22217,plain,
% 7.79/5.91 (~v90(constB189, bitIndex0)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22216, 22215, 22201])).
% 7.79/5.91 tff(22218,plain,
% 7.79/5.91 ((((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | ((~v90(constB189, bitIndex2)) <=> v90(constB188, bitIndex2)) | ((~v90(constB189, bitIndex0)) <=> v90(constB188, bitIndex0))) | (~((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22219,plain,
% 7.79/5.91 (~((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22218, 22063])).
% 7.79/5.91 tff(22220,plain,
% 7.79/5.91 ((((~v129(constB188, bitIndex2)) <=> v127(constB187, bitIndex2)) | ((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | ((~v129(constB188, bitIndex0)) <=> v127(constB187, bitIndex0))) | (~((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22221,plain,
% 7.79/5.91 (~((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22220, 22069])).
% 7.79/5.91 tff(22222,plain,
% 7.79/5.91 ((((~v127(constB187, bitIndex2)) <=> v130(constB187, bitIndex2)) | ((~v127(constB187, bitIndex0)) <=> v130(constB187, bitIndex0)) | ((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1))) | (~((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22223,plain,
% 7.79/5.91 (~((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22222, 22083])).
% 7.79/5.91 tff(22224,plain,
% 7.79/5.91 ((v130(constB187, bitIndex0) | v130(constB187, bitIndex1) | (~v130(constB187, bitIndex2))) | (~v130(constB187, bitIndex1))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22225,plain,
% 7.79/5.91 (~v130(constB187, bitIndex1)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22224, 22101])).
% 7.79/5.91 tff(22226,plain,
% 7.79/5.91 (((~v127(constB187, bitIndex1)) <=> v130(constB187, bitIndex1)) | (~v127(constB187, bitIndex1)) | v130(constB187, bitIndex1)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22227,plain,
% 7.79/5.91 (~v127(constB187, bitIndex1)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22226, 22225, 22223])).
% 7.79/5.91 tff(22228,plain,
% 7.79/5.91 (((~v129(constB188, bitIndex1)) <=> v127(constB187, bitIndex1)) | (~v129(constB188, bitIndex1)) | v127(constB187, bitIndex1)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22229,plain,
% 7.79/5.91 (~v129(constB188, bitIndex1)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22228, 22227, 22221])).
% 7.79/5.91 tff(22230,plain,
% 7.79/5.91 ((((~v90(constB188, bitIndex2)) <=> v129(constB188, bitIndex2)) | ((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | ((~v90(constB188, bitIndex0)) <=> v129(constB188, bitIndex0))) | (~((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22231,plain,
% 7.79/5.91 (~((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22230, 22193])).
% 7.79/5.91 tff(22232,plain,
% 7.79/5.91 (((~v90(constB188, bitIndex1)) <=> v129(constB188, bitIndex1)) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22233,plain,
% 7.79/5.91 (~v90(constB188, bitIndex1)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22232, 22231, 22229])).
% 7.79/5.91 tff(22234,plain,
% 7.79/5.91 (((~v90(constB189, bitIndex1)) <=> v90(constB188, bitIndex1)) | (~v90(constB189, bitIndex1)) | v90(constB188, bitIndex1)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22235,plain,
% 7.79/5.91 (~v90(constB189, bitIndex1)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22234, 22233, 22219])).
% 7.79/5.91 tff(22236,plain,
% 7.79/5.91 ((~(v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2)))) | v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22237,plain,
% 7.79/5.91 (~(v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2)))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22236, 22235, 22217, 22199])).
% 7.79/5.91 tff(22238,plain,
% 7.79/5.91 ((~(v123(constB189) <=> (~(v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2)))))) | v123(constB189) | (v90(constB189, bitIndex1) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex2)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22239,plain,
% 7.79/5.91 (v123(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22238, 22237, 22032])).
% 7.79/5.91 tff(22240,plain,
% 7.79/5.91 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB189)) | (~(v130(constB189, bitIndex1) | (~v130(constB189, bitIndex2)) | (~v130(constB189, bitIndex0)))))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB189)) | (~(v130(constB189, bitIndex1) | (~v130(constB189, bitIndex2)) | (~v130(constB189, bitIndex0)))))),
% 7.79/5.91 inference(rewrite,[status(thm)],[])).
% 7.79/5.91 tff(22241,plain,
% 7.79/5.91 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | ((~v123(constB189)) | (~(v130(constB189, bitIndex1) | (~v130(constB189, bitIndex2)) | (~v130(constB189, bitIndex0)))))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22242,plain,
% 7.79/5.91 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~(v130(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex0)))))) | (~v123(constB189)) | (~(v130(constB189, bitIndex1) | (~v130(constB189, bitIndex2)) | (~v130(constB189, bitIndex0))))),
% 7.79/5.91 inference(modus_ponens,[status(thm)],[22241, 22240])).
% 7.79/5.91 tff(22243,plain,
% 7.79/5.91 ((~v123(constB189)) | (~(v130(constB189, bitIndex1) | (~v130(constB189, bitIndex2)) | (~v130(constB189, bitIndex0))))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22242, 4722])).
% 7.79/5.91 tff(22244,plain,
% 7.79/5.91 (~(v130(constB189, bitIndex1) | (~v130(constB189, bitIndex2)) | (~v130(constB189, bitIndex0)))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22243, 22239])).
% 7.79/5.91 tff(22245,plain,
% 7.79/5.91 ((v130(constB189, bitIndex1) | (~v130(constB189, bitIndex2)) | (~v130(constB189, bitIndex0))) | v130(constB189, bitIndex2)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22246,plain,
% 7.79/5.91 (v130(constB189, bitIndex2)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22245, 22244])).
% 7.79/5.91 tff(22247,plain,
% 7.79/5.91 (((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | v127(constB189, bitIndex2) | (~v130(constB189, bitIndex2))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22248,plain,
% 7.79/5.91 (v127(constB189, bitIndex2)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22247, 22246, 22025])).
% 7.79/5.91 tff(22249,plain,
% 7.79/5.91 (((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | v129(constB190, bitIndex2) | (~v127(constB189, bitIndex2))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22250,plain,
% 7.79/5.91 (v129(constB190, bitIndex2)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22249, 22248, 22011])).
% 7.79/5.91 tff(22251,plain,
% 7.79/5.91 (((~![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))))))),
% 7.79/5.91 inference(rewrite,[status(thm)],[])).
% 7.79/5.91 tff(22252,plain,
% 7.79/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22253,plain,
% 7.79/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB189, constB190)) | (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))),
% 7.79/5.91 inference(modus_ponens,[status(thm)],[22252, 22251])).
% 7.79/5.91 tff(22254,plain,
% 7.79/5.91 (v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190))))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22253, 22005, 433])).
% 7.79/5.91 tff(22255,plain,
% 7.79/5.91 (((~![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))))))),
% 7.79/5.91 inference(rewrite,[status(thm)],[])).
% 7.79/5.91 tff(22256,plain,
% 7.79/5.91 (((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190)))))) <=> ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))))),
% 7.79/5.91 inference(rewrite,[status(thm)],[])).
% 7.79/5.91 tff(22257,plain,
% 7.79/5.91 (((~![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)))))))),
% 7.79/5.91 inference(monotonicity,[status(thm)],[22256])).
% 7.79/5.91 tff(22258,plain,
% 7.79/5.91 (((~![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))))))),
% 7.79/5.91 inference(transitivity,[status(thm)],[22257, 22255])).
% 7.79/5.91 tff(22259,plain,
% 7.79/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v102(constB190)) | (~v1(constB190))))))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22260,plain,
% 7.79/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))),
% 7.79/5.91 inference(modus_ponens,[status(thm)],[22259, 22258])).
% 7.79/5.91 tff(22261,plain,
% 7.79/5.91 (v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190))))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22260, 22005, 453])).
% 7.79/5.91 tff(22262,plain,
% 7.79/5.91 (((~![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)))),
% 7.79/5.91 inference(rewrite,[status(thm)],[])).
% 7.79/5.91 tff(22263,plain,
% 7.79/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190)))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22264,plain,
% 7.79/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB189, constB190)) | ((~v102(constB190)) <=> v104(constB190))),
% 7.79/5.91 inference(modus_ponens,[status(thm)],[22263, 22262])).
% 7.79/5.91 tff(22265,plain,
% 7.79/5.91 ((~v102(constB190)) <=> v104(constB190)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22264, 22005, 3966])).
% 7.79/5.91 tff(22266,plain,
% 7.79/5.91 (((~![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)))),
% 7.79/5.91 inference(rewrite,[status(thm)],[])).
% 7.79/5.91 tff(22267,plain,
% 7.79/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189)))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22268,plain,
% 7.79/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v1(constB189))),
% 7.79/5.91 inference(modus_ponens,[status(thm)],[22267, 22266])).
% 7.79/5.91 tff(22269,plain,
% 7.79/5.91 (v104(constB190) <=> v1(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22268, 22005, 3980])).
% 7.79/5.91 tff(22270,plain,
% 7.79/5.91 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190)) | v1(constB189)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22271,plain,
% 7.79/5.91 ((~(v104(constB190) <=> v1(constB189))) | (~v104(constB190))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22270, 22046])).
% 7.79/5.91 tff(22272,plain,
% 7.79/5.91 (~v104(constB190)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22271, 22269])).
% 7.79/5.91 tff(22273,plain,
% 7.79/5.91 ((~((~v102(constB190)) <=> v104(constB190))) | v102(constB190) | v104(constB190)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22274,plain,
% 7.79/5.91 (v102(constB190)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22273, 22272, 22265])).
% 7.79/5.91 tff(22275,plain,
% 7.79/5.91 (v1(constB190) <=> v1(constB190)),
% 7.79/5.91 inference(rewrite,[status(thm)],[])).
% 7.79/5.91 tff(22276,axiom,(v1(constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_190')).
% 7.79/5.91 tff(22277,plain,
% 7.79/5.91 (v1(constB190)),
% 7.79/5.91 inference(modus_ponens,[status(thm)],[22276, 22275])).
% 7.79/5.91 tff(22278,plain,
% 7.79/5.91 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v1(constB190)) | (~v102(constB190))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22279,plain,
% 7.79/5.91 ((~((~v1(constB190)) | (~v102(constB190)))) | (~v102(constB190))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22278, 22277])).
% 7.79/5.91 tff(22280,plain,
% 7.79/5.91 (~((~v1(constB190)) | (~v102(constB190)))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22279, 22274])).
% 7.79/5.91 tff(22281,plain,
% 7.79/5.91 ((~(v101(constB190) <=> (~((~v1(constB190)) | (~v102(constB190)))))) | v101(constB190) | ((~v1(constB190)) | (~v102(constB190)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22282,plain,
% 7.79/5.91 (v101(constB190)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22281, 22280, 22261])).
% 7.79/5.91 tff(22283,plain,
% 7.79/5.91 (((~![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)))),
% 7.79/5.91 inference(rewrite,[status(thm)],[])).
% 7.79/5.91 tff(22284,plain,
% 7.79/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189)))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22285,plain,
% 7.79/5.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB189, constB190)) | (v110(constB190) <=> v108(constB189))),
% 7.79/5.91 inference(modus_ponens,[status(thm)],[22284, 22283])).
% 7.79/5.91 tff(22286,plain,
% 7.79/5.91 (v110(constB190) <=> v108(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22285, 22005, 4007])).
% 7.79/5.91 tff(22287,plain,
% 7.79/5.91 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB189) <=> (v111(constB189) | v112(constB189)))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22288,plain,
% 7.79/5.91 (v108(constB189) <=> (v111(constB189) | v112(constB189))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22287, 4018])).
% 7.79/5.91 tff(22289,plain,
% 7.79/5.91 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22290,plain,
% 7.79/5.91 (v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189))))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22289, 4030])).
% 7.79/5.91 tff(22291,plain,
% 7.79/5.91 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB189) <=> (v114(constB189) | v125(constB189)))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22292,plain,
% 7.79/5.91 (v113(constB189) <=> (v114(constB189) | v125(constB189))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22291, 4039])).
% 7.79/5.91 tff(22293,plain,
% 7.79/5.91 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB189) <=> (v115(constB189) | v124(constB189)))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22294,plain,
% 7.79/5.91 (v114(constB189) <=> (v115(constB189) | v124(constB189))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22293, 4048])).
% 7.79/5.91 tff(22295,plain,
% 7.79/5.91 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB189) <=> (v116(constB189) | v123(constB189)))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22296,plain,
% 7.79/5.91 (v115(constB189) <=> (v116(constB189) | v123(constB189))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22295, 4057])).
% 7.79/5.91 tff(22297,plain,
% 7.79/5.91 ((v116(constB189) | v123(constB189)) | (~v123(constB189))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22298,plain,
% 7.79/5.91 (v116(constB189) | v123(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22297, 22239])).
% 7.79/5.91 tff(22299,plain,
% 7.79/5.91 ((~(v115(constB189) <=> (v116(constB189) | v123(constB189)))) | v115(constB189) | (~(v116(constB189) | v123(constB189)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22300,plain,
% 7.79/5.91 (v115(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22299, 22298, 22296])).
% 7.79/5.91 tff(22301,plain,
% 7.79/5.91 ((v115(constB189) | v124(constB189)) | (~v115(constB189))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22302,plain,
% 7.79/5.91 (v115(constB189) | v124(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22301, 22300])).
% 7.79/5.91 tff(22303,plain,
% 7.79/5.91 ((~(v114(constB189) <=> (v115(constB189) | v124(constB189)))) | v114(constB189) | (~(v115(constB189) | v124(constB189)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22304,plain,
% 7.79/5.91 (v114(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22303, 22302, 22294])).
% 7.79/5.91 tff(22305,plain,
% 7.79/5.91 ((v114(constB189) | v125(constB189)) | (~v114(constB189))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22306,plain,
% 7.79/5.91 (v114(constB189) | v125(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22305, 22304])).
% 7.79/5.91 tff(22307,plain,
% 7.79/5.91 ((~(v113(constB189) <=> (v114(constB189) | v125(constB189)))) | v113(constB189) | (~(v114(constB189) | v125(constB189)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22308,plain,
% 7.79/5.91 (v113(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22307, 22306, 22292])).
% 7.79/5.91 tff(22309,plain,
% 7.79/5.91 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB189)) <=> v111(constB189))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22310,plain,
% 7.79/5.91 ((~v126(constB189)) <=> v111(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22309, 4118])).
% 7.79/5.91 tff(22311,plain,
% 7.79/5.91 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189) | v111(constB189)),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22312,plain,
% 7.79/5.91 ((~((~v126(constB189)) <=> v111(constB189))) | v126(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22311, 22018])).
% 7.79/5.91 tff(22313,plain,
% 7.79/5.91 (v126(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22312, 22310])).
% 7.79/5.91 tff(22314,plain,
% 7.79/5.91 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189)) | (~v126(constB189))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22315,plain,
% 7.79/5.91 ((~((~v113(constB189)) | (~v126(constB189)))) | (~v113(constB189))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22314, 22313])).
% 7.79/5.91 tff(22316,plain,
% 7.79/5.91 (~((~v113(constB189)) | (~v126(constB189)))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22315, 22308])).
% 7.79/5.91 tff(22317,plain,
% 7.79/5.91 ((~(v112(constB189) <=> (~((~v113(constB189)) | (~v126(constB189)))))) | v112(constB189) | ((~v113(constB189)) | (~v126(constB189)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22318,plain,
% 7.79/5.91 (v112(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22317, 22316, 22290])).
% 7.79/5.91 tff(22319,plain,
% 7.79/5.91 ((v111(constB189) | v112(constB189)) | (~v112(constB189))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22320,plain,
% 7.79/5.91 (v111(constB189) | v112(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22319, 22318])).
% 7.79/5.91 tff(22321,plain,
% 7.79/5.91 ((~(v108(constB189) <=> (v111(constB189) | v112(constB189)))) | v108(constB189) | (~(v111(constB189) | v112(constB189)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22322,plain,
% 7.79/5.91 (v108(constB189)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22321, 22320, 22288])).
% 7.79/5.91 tff(22323,plain,
% 7.79/5.91 ((~(v110(constB190) <=> v108(constB189))) | v110(constB190) | (~v108(constB189))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22324,plain,
% 7.79/5.91 (v110(constB190)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22323, 22322, 22286])).
% 7.79/5.91 tff(22325,plain,
% 7.79/5.91 ((~((~v101(constB190)) | (~v110(constB190)))) | (~v101(constB190)) | (~v110(constB190))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22326,plain,
% 7.79/5.91 (~((~v101(constB190)) | (~v110(constB190)))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22325, 22324, 22282])).
% 7.79/5.91 tff(22327,plain,
% 7.79/5.91 ((~(v100(constB190) <=> (~((~v101(constB190)) | (~v110(constB190)))))) | v100(constB190) | ((~v101(constB190)) | (~v110(constB190)))),
% 7.79/5.91 inference(tautology,[status(thm)],[])).
% 7.79/5.91 tff(22328,plain,
% 7.79/5.91 (v100(constB190)),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22327, 22326, 22254])).
% 7.79/5.91 tff(22329,plain,
% 7.79/5.91 (((~![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)))))),
% 7.79/5.91 inference(rewrite,[status(thm)],[])).
% 7.79/5.91 tff(22330,plain,
% 7.79/5.91 (((~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)))))),
% 7.79/5.91 inference(rewrite,[status(thm)],[])).
% 7.79/5.91 tff(22331,plain,
% 7.79/5.91 (((~![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))))))),
% 7.79/5.91 inference(monotonicity,[status(thm)],[22330])).
% 7.79/5.91 tff(22332,plain,
% 7.79/5.91 (((~![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)))))),
% 7.79/5.91 inference(transitivity,[status(thm)],[22331, 22329])).
% 7.79/5.91 tff(22333,plain,
% 7.79/5.91 ((~![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)))))),
% 7.79/5.91 inference(quant_inst,[status(thm)],[])).
% 7.79/5.91 tff(22334,plain,
% 7.79/5.91 ((~![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))))),
% 7.79/5.91 inference(modus_ponens,[status(thm)],[22333, 22332])).
% 7.79/5.91 tff(22335,plain,
% 7.79/5.91 ((~v100(constB190)) | (~(((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))))),
% 7.79/5.91 inference(unit_resolution,[status(thm)],[22334, 4151])).
% 7.79/5.91 tff(22336,plain,
% 7.79/5.91 (~(((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22335, 22328])).
% 7.79/5.92 tff(22337,plain,
% 7.79/5.92 ((((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))) | (~((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22338,plain,
% 7.79/5.92 (~((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22337, 22336])).
% 7.79/5.92 tff(22339,plain,
% 7.79/5.92 (((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22340,plain,
% 7.79/5.92 (v90(constB190, bitIndex2)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22339, 22338, 22250])).
% 7.79/5.92 tff(22341,plain,
% 7.79/5.92 (((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | v90(constB191, bitIndex2) | (~v90(constB190, bitIndex2))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22342,plain,
% 7.79/5.92 (v90(constB191, bitIndex2)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22341, 22340, 22002])).
% 7.79/5.92 tff(22343,plain,
% 7.79/5.92 ((((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))) | (~((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22344,plain,
% 7.79/5.92 (~((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22343, 22000])).
% 7.79/5.92 tff(22345,plain,
% 7.79/5.92 ((((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0))) | (~((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22346,plain,
% 7.79/5.92 (~((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22345, 22009])).
% 7.79/5.92 tff(22347,plain,
% 7.79/5.92 ((((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1))) | (~((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22348,plain,
% 7.79/5.92 (~((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22347, 22023])).
% 7.79/5.92 tff(22349,plain,
% 7.79/5.92 ((v130(constB189, bitIndex1) | (~v130(constB189, bitIndex2)) | (~v130(constB189, bitIndex0))) | v130(constB189, bitIndex0)),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22350,plain,
% 7.79/5.92 (v130(constB189, bitIndex0)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22349, 22244])).
% 7.79/5.92 tff(22351,plain,
% 7.79/5.92 (((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)) | v127(constB189, bitIndex0) | (~v130(constB189, bitIndex0))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22352,plain,
% 7.79/5.92 (v127(constB189, bitIndex0)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22351, 22350, 22348])).
% 7.79/5.92 tff(22353,plain,
% 7.79/5.92 (((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0)) | v129(constB190, bitIndex0) | (~v127(constB189, bitIndex0))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22354,plain,
% 7.79/5.92 (v129(constB190, bitIndex0)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22353, 22352, 22346])).
% 7.79/5.92 tff(22355,plain,
% 7.79/5.92 ((((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))) | (~((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22356,plain,
% 7.79/5.92 (~((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22355, 22336])).
% 7.79/5.92 tff(22357,plain,
% 7.79/5.92 (((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22358,plain,
% 7.79/5.92 (v90(constB190, bitIndex0)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22357, 22356, 22354])).
% 7.79/5.92 tff(22359,plain,
% 7.79/5.92 (((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0)) | v90(constB191, bitIndex0) | (~v90(constB190, bitIndex0))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22360,plain,
% 7.79/5.92 (v90(constB191, bitIndex0)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22359, 22358, 22344])).
% 7.79/5.92 tff(22361,plain,
% 7.79/5.92 ((((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | ((~v90(constB191, bitIndex2)) <=> v90(constB190, bitIndex2)) | ((~v90(constB191, bitIndex0)) <=> v90(constB190, bitIndex0))) | (~((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22362,plain,
% 7.79/5.92 (~((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22361, 22000])).
% 7.79/5.92 tff(22363,plain,
% 7.79/5.92 ((((~v129(constB190, bitIndex2)) <=> v127(constB189, bitIndex2)) | ((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | ((~v129(constB190, bitIndex0)) <=> v127(constB189, bitIndex0))) | (~((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22364,plain,
% 7.79/5.92 (~((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22363, 22009])).
% 7.79/5.92 tff(22365,plain,
% 7.79/5.92 ((((~v127(constB189, bitIndex2)) <=> v130(constB189, bitIndex2)) | ((~v127(constB189, bitIndex0)) <=> v130(constB189, bitIndex0)) | ((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1))) | (~((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22366,plain,
% 7.79/5.92 (~((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22365, 22023])).
% 7.79/5.92 tff(22367,plain,
% 7.79/5.92 ((v130(constB189, bitIndex1) | (~v130(constB189, bitIndex2)) | (~v130(constB189, bitIndex0))) | (~v130(constB189, bitIndex1))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22368,plain,
% 7.79/5.92 (~v130(constB189, bitIndex1)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22367, 22244])).
% 7.79/5.92 tff(22369,plain,
% 7.79/5.92 (((~v127(constB189, bitIndex1)) <=> v130(constB189, bitIndex1)) | (~v127(constB189, bitIndex1)) | v130(constB189, bitIndex1)),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22370,plain,
% 7.79/5.92 (~v127(constB189, bitIndex1)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22369, 22368, 22366])).
% 7.79/5.92 tff(22371,plain,
% 7.79/5.92 (((~v129(constB190, bitIndex1)) <=> v127(constB189, bitIndex1)) | (~v129(constB190, bitIndex1)) | v127(constB189, bitIndex1)),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22372,plain,
% 7.79/5.92 (~v129(constB190, bitIndex1)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22371, 22370, 22364])).
% 7.79/5.92 tff(22373,plain,
% 7.79/5.92 ((((~v90(constB190, bitIndex0)) <=> v129(constB190, bitIndex0)) | ((~v90(constB190, bitIndex2)) <=> v129(constB190, bitIndex2)) | ((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))) | (~((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22374,plain,
% 7.79/5.92 (~((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22373, 22336])).
% 7.79/5.92 tff(22375,plain,
% 7.79/5.92 (((~v90(constB190, bitIndex1)) <=> v129(constB190, bitIndex1)) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1)),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22376,plain,
% 7.79/5.92 (~v90(constB190, bitIndex1)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22375, 22374, 22372])).
% 7.79/5.92 tff(22377,plain,
% 7.79/5.92 (((~v90(constB191, bitIndex1)) <=> v90(constB190, bitIndex1)) | (~v90(constB191, bitIndex1)) | v90(constB190, bitIndex1)),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22378,plain,
% 7.79/5.92 (~v90(constB191, bitIndex1)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22377, 22376, 22362])).
% 7.79/5.92 tff(22379,plain,
% 7.79/5.92 ((~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0)))) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22380,plain,
% 7.79/5.92 (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0)))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22379, 22378, 22360, 22342])).
% 7.79/5.92 tff(22381,plain,
% 7.79/5.92 ((~(v124(constB191) <=> (~(v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0)))))) | v124(constB191) | (v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | (~v90(constB191, bitIndex0)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22382,plain,
% 7.79/5.92 (v124(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22381, 22380, 21966])).
% 7.79/5.92 tff(22383,plain,
% 7.79/5.92 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB191)) | (~(v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)) | (~v130(constB191, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB191)) | (~(v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)) | (~v130(constB191, bitIndex1)))))),
% 7.79/5.92 inference(rewrite,[status(thm)],[])).
% 7.79/5.92 tff(22384,plain,
% 7.79/5.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | ((~v124(constB191)) | (~(v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)) | (~v130(constB191, bitIndex1)))))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22385,plain,
% 7.79/5.92 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~(v130(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex2)) | (~v130(VarCurr, bitIndex1)))))) | (~v124(constB191)) | (~(v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)) | (~v130(constB191, bitIndex1))))),
% 7.79/5.92 inference(modus_ponens,[status(thm)],[22384, 22383])).
% 7.79/5.92 tff(22386,plain,
% 7.79/5.92 ((~v124(constB191)) | (~(v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)) | (~v130(constB191, bitIndex1))))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22385, 4878])).
% 7.79/5.92 tff(22387,plain,
% 7.79/5.92 (~(v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)) | (~v130(constB191, bitIndex1)))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22386, 22382])).
% 7.79/5.92 tff(22388,plain,
% 7.79/5.92 ((v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)) | (~v130(constB191, bitIndex1))) | v130(constB191, bitIndex2)),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22389,plain,
% 7.79/5.92 (v130(constB191, bitIndex2)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22388, 22387])).
% 7.79/5.92 tff(22390,plain,
% 7.79/5.92 (((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | v127(constB191, bitIndex2) | (~v130(constB191, bitIndex2))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22391,plain,
% 7.79/5.92 (v127(constB191, bitIndex2)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22390, 22389, 21959])).
% 7.79/5.92 tff(22392,plain,
% 7.79/5.92 (((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | v129(constB192, bitIndex2) | (~v127(constB191, bitIndex2))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22393,plain,
% 7.79/5.92 (v129(constB192, bitIndex2)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22392, 22391, 21945])).
% 7.79/5.92 tff(22394,plain,
% 7.79/5.92 (((~![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))))))),
% 7.79/5.92 inference(rewrite,[status(thm)],[])).
% 7.79/5.92 tff(22395,plain,
% 7.79/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22396,plain,
% 7.79/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB191, constB192)) | (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))),
% 7.79/5.92 inference(modus_ponens,[status(thm)],[22395, 22394])).
% 7.79/5.92 tff(22397,plain,
% 7.79/5.92 (v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192))))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22396, 21939, 433])).
% 7.79/5.92 tff(22398,plain,
% 7.79/5.92 (((~![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))))))),
% 7.79/5.92 inference(rewrite,[status(thm)],[])).
% 7.79/5.92 tff(22399,plain,
% 7.79/5.92 (((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192)))))) <=> ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))))),
% 7.79/5.92 inference(rewrite,[status(thm)],[])).
% 7.79/5.92 tff(22400,plain,
% 7.79/5.92 (((~![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)))))))),
% 7.79/5.92 inference(monotonicity,[status(thm)],[22399])).
% 7.79/5.92 tff(22401,plain,
% 7.79/5.92 (((~![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))))))),
% 7.79/5.92 inference(transitivity,[status(thm)],[22400, 22398])).
% 7.79/5.92 tff(22402,plain,
% 7.79/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v102(constB192)) | (~v1(constB192))))))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22403,plain,
% 7.79/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))),
% 7.79/5.92 inference(modus_ponens,[status(thm)],[22402, 22401])).
% 7.79/5.92 tff(22404,plain,
% 7.79/5.92 (v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192))))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22403, 21939, 453])).
% 7.79/5.92 tff(22405,plain,
% 7.79/5.92 (((~![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)))),
% 7.79/5.92 inference(rewrite,[status(thm)],[])).
% 7.79/5.92 tff(22406,plain,
% 7.79/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192)))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22407,plain,
% 7.79/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB191, constB192)) | ((~v102(constB192)) <=> v104(constB192))),
% 7.79/5.92 inference(modus_ponens,[status(thm)],[22406, 22405])).
% 7.79/5.92 tff(22408,plain,
% 7.79/5.92 ((~v102(constB192)) <=> v104(constB192)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22407, 21939, 3966])).
% 7.79/5.92 tff(22409,plain,
% 7.79/5.92 (((~![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)))),
% 7.79/5.92 inference(rewrite,[status(thm)],[])).
% 7.79/5.92 tff(22410,plain,
% 7.79/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191)))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22411,plain,
% 7.79/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v1(constB191))),
% 7.79/5.92 inference(modus_ponens,[status(thm)],[22410, 22409])).
% 7.79/5.92 tff(22412,plain,
% 7.79/5.92 (v104(constB192) <=> v1(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22411, 21939, 3980])).
% 7.79/5.92 tff(22413,plain,
% 7.79/5.92 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192)) | v1(constB191)),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22414,plain,
% 7.79/5.92 ((~(v104(constB192) <=> v1(constB191))) | (~v104(constB192))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22413, 21983])).
% 7.79/5.92 tff(22415,plain,
% 7.79/5.92 (~v104(constB192)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22414, 22412])).
% 7.79/5.92 tff(22416,plain,
% 7.79/5.92 ((~((~v102(constB192)) <=> v104(constB192))) | v102(constB192) | v104(constB192)),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22417,plain,
% 7.79/5.92 (v102(constB192)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22416, 22415, 22408])).
% 7.79/5.92 tff(22418,plain,
% 7.79/5.92 (v1(constB192) <=> v1(constB192)),
% 7.79/5.92 inference(rewrite,[status(thm)],[])).
% 7.79/5.92 tff(22419,axiom,(v1(constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_192')).
% 7.79/5.92 tff(22420,plain,
% 7.79/5.92 (v1(constB192)),
% 7.79/5.92 inference(modus_ponens,[status(thm)],[22419, 22418])).
% 7.79/5.92 tff(22421,plain,
% 7.79/5.92 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v1(constB192)) | (~v102(constB192))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22422,plain,
% 7.79/5.92 ((~((~v1(constB192)) | (~v102(constB192)))) | (~v102(constB192))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22421, 22420])).
% 7.79/5.92 tff(22423,plain,
% 7.79/5.92 (~((~v1(constB192)) | (~v102(constB192)))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22422, 22417])).
% 7.79/5.92 tff(22424,plain,
% 7.79/5.92 ((~(v101(constB192) <=> (~((~v1(constB192)) | (~v102(constB192)))))) | v101(constB192) | ((~v1(constB192)) | (~v102(constB192)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22425,plain,
% 7.79/5.92 (v101(constB192)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22424, 22423, 22404])).
% 7.79/5.92 tff(22426,plain,
% 7.79/5.92 (((~![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)))),
% 7.79/5.92 inference(rewrite,[status(thm)],[])).
% 7.79/5.92 tff(22427,plain,
% 7.79/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191)))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22428,plain,
% 7.79/5.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB191, constB192)) | (v110(constB192) <=> v108(constB191))),
% 7.79/5.92 inference(modus_ponens,[status(thm)],[22427, 22426])).
% 7.79/5.92 tff(22429,plain,
% 7.79/5.92 (v110(constB192) <=> v108(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22428, 21939, 4007])).
% 7.79/5.92 tff(22430,plain,
% 7.79/5.92 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB191) <=> (v111(constB191) | v112(constB191)))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22431,plain,
% 7.79/5.92 (v108(constB191) <=> (v111(constB191) | v112(constB191))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22430, 4018])).
% 7.79/5.92 tff(22432,plain,
% 7.79/5.92 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22433,plain,
% 7.79/5.92 (v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191))))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22432, 4030])).
% 7.79/5.92 tff(22434,plain,
% 7.79/5.92 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB191) <=> (v114(constB191) | v125(constB191)))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22435,plain,
% 7.79/5.92 (v113(constB191) <=> (v114(constB191) | v125(constB191))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22434, 4039])).
% 7.79/5.92 tff(22436,plain,
% 7.79/5.92 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB191) <=> (v115(constB191) | v124(constB191)))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22437,plain,
% 7.79/5.92 (v114(constB191) <=> (v115(constB191) | v124(constB191))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22436, 4048])).
% 7.79/5.92 tff(22438,plain,
% 7.79/5.92 ((v115(constB191) | v124(constB191)) | (~v124(constB191))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22439,plain,
% 7.79/5.92 (v115(constB191) | v124(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22438, 22382])).
% 7.79/5.92 tff(22440,plain,
% 7.79/5.92 ((~(v114(constB191) <=> (v115(constB191) | v124(constB191)))) | v114(constB191) | (~(v115(constB191) | v124(constB191)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22441,plain,
% 7.79/5.92 (v114(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22440, 22439, 22437])).
% 7.79/5.92 tff(22442,plain,
% 7.79/5.92 ((v114(constB191) | v125(constB191)) | (~v114(constB191))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22443,plain,
% 7.79/5.92 (v114(constB191) | v125(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22442, 22441])).
% 7.79/5.92 tff(22444,plain,
% 7.79/5.92 ((~(v113(constB191) <=> (v114(constB191) | v125(constB191)))) | v113(constB191) | (~(v114(constB191) | v125(constB191)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22445,plain,
% 7.79/5.92 (v113(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22444, 22443, 22435])).
% 7.79/5.92 tff(22446,plain,
% 7.79/5.92 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB191)) <=> v111(constB191))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22447,plain,
% 7.79/5.92 ((~v126(constB191)) <=> v111(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22446, 4118])).
% 7.79/5.92 tff(22448,plain,
% 7.79/5.92 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191) | v111(constB191)),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22449,plain,
% 7.79/5.92 ((~((~v126(constB191)) <=> v111(constB191))) | v126(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22448, 21952])).
% 7.79/5.92 tff(22450,plain,
% 7.79/5.92 (v126(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22449, 22447])).
% 7.79/5.92 tff(22451,plain,
% 7.79/5.92 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191)) | (~v126(constB191))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22452,plain,
% 7.79/5.92 ((~((~v113(constB191)) | (~v126(constB191)))) | (~v113(constB191))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22451, 22450])).
% 7.79/5.92 tff(22453,plain,
% 7.79/5.92 (~((~v113(constB191)) | (~v126(constB191)))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22452, 22445])).
% 7.79/5.92 tff(22454,plain,
% 7.79/5.92 ((~(v112(constB191) <=> (~((~v113(constB191)) | (~v126(constB191)))))) | v112(constB191) | ((~v113(constB191)) | (~v126(constB191)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22455,plain,
% 7.79/5.92 (v112(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22454, 22453, 22433])).
% 7.79/5.92 tff(22456,plain,
% 7.79/5.92 ((v111(constB191) | v112(constB191)) | (~v112(constB191))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22457,plain,
% 7.79/5.92 (v111(constB191) | v112(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22456, 22455])).
% 7.79/5.92 tff(22458,plain,
% 7.79/5.92 ((~(v108(constB191) <=> (v111(constB191) | v112(constB191)))) | v108(constB191) | (~(v111(constB191) | v112(constB191)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22459,plain,
% 7.79/5.92 (v108(constB191)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22458, 22457, 22431])).
% 7.79/5.92 tff(22460,plain,
% 7.79/5.92 ((~(v110(constB192) <=> v108(constB191))) | v110(constB192) | (~v108(constB191))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22461,plain,
% 7.79/5.92 (v110(constB192)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22460, 22459, 22429])).
% 7.79/5.92 tff(22462,plain,
% 7.79/5.92 ((~((~v101(constB192)) | (~v110(constB192)))) | (~v101(constB192)) | (~v110(constB192))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22463,plain,
% 7.79/5.92 (~((~v101(constB192)) | (~v110(constB192)))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22462, 22461, 22425])).
% 7.79/5.92 tff(22464,plain,
% 7.79/5.92 ((~(v100(constB192) <=> (~((~v101(constB192)) | (~v110(constB192)))))) | v100(constB192) | ((~v101(constB192)) | (~v110(constB192)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22465,plain,
% 7.79/5.92 (v100(constB192)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22464, 22463, 22397])).
% 7.79/5.92 tff(22466,plain,
% 7.79/5.92 (((~![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)))))),
% 7.79/5.92 inference(rewrite,[status(thm)],[])).
% 7.79/5.92 tff(22467,plain,
% 7.79/5.92 ((~![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)))))),
% 7.79/5.92 inference(quant_inst,[status(thm)],[])).
% 7.79/5.92 tff(22468,plain,
% 7.79/5.92 ((~![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))))),
% 7.79/5.92 inference(modus_ponens,[status(thm)],[22467, 22466])).
% 7.79/5.92 tff(22469,plain,
% 7.79/5.92 ((~v100(constB192)) | (~(((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0))))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22468, 4151])).
% 7.79/5.92 tff(22470,plain,
% 7.79/5.92 (~(((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0)))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22469, 22465])).
% 7.79/5.92 tff(22471,plain,
% 7.79/5.92 ((((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0))) | (~((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22472,plain,
% 7.79/5.92 (~((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22471, 22470])).
% 7.79/5.92 tff(22473,plain,
% 7.79/5.92 (((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22474,plain,
% 7.79/5.92 (v90(constB192, bitIndex2)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22473, 22472, 22393])).
% 7.79/5.92 tff(22475,plain,
% 7.79/5.92 (((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | v90(constB193, bitIndex2) | (~v90(constB192, bitIndex2))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22476,plain,
% 7.79/5.92 (v90(constB193, bitIndex2)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22475, 22474, 21936])).
% 7.79/5.92 tff(22477,plain,
% 7.79/5.92 (((~v88(constB193, bitIndex2)) <=> v90(constB193, bitIndex2)) | v88(constB193, bitIndex2) | (~v90(constB193, bitIndex2))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22478,plain,
% 7.79/5.92 (v88(constB193, bitIndex2)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22477, 22476, 21900])).
% 7.79/5.92 tff(22479,plain,
% 7.79/5.92 ((((~v88(constB193, bitIndex1)) <=> v90(constB193, bitIndex1)) | ((~v88(constB193, bitIndex2)) <=> v90(constB193, bitIndex2)) | ((~v88(constB193, bitIndex0)) <=> v90(constB193, bitIndex0))) | (~((~v88(constB193, bitIndex0)) <=> v90(constB193, bitIndex0)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22480,plain,
% 7.79/5.92 (~((~v88(constB193, bitIndex0)) <=> v90(constB193, bitIndex0))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22479, 21898])).
% 7.79/5.92 tff(22481,plain,
% 7.79/5.92 ((((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))) | (~((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22482,plain,
% 7.79/5.92 (~((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22481, 21934])).
% 7.79/5.92 tff(22483,plain,
% 7.79/5.92 ((((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0))) | (~((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22484,plain,
% 7.79/5.92 (~((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22483, 21943])).
% 7.79/5.92 tff(22485,plain,
% 7.79/5.92 ((((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1))) | (~((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22486,plain,
% 7.79/5.92 (~((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0))),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22485, 21957])).
% 7.79/5.92 tff(22487,plain,
% 7.79/5.92 ((v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)) | (~v130(constB191, bitIndex1))) | (~v130(constB191, bitIndex0))),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22488,plain,
% 7.79/5.92 (~v130(constB191, bitIndex0)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22487, 22387])).
% 7.79/5.92 tff(22489,plain,
% 7.79/5.92 (((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)) | (~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22490,plain,
% 7.79/5.92 (~v127(constB191, bitIndex0)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22489, 22488, 22486])).
% 7.79/5.92 tff(22491,plain,
% 7.79/5.92 (((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0)) | (~v129(constB192, bitIndex0)) | v127(constB191, bitIndex0)),
% 7.79/5.92 inference(tautology,[status(thm)],[])).
% 7.79/5.92 tff(22492,plain,
% 7.79/5.92 (~v129(constB192, bitIndex0)),
% 7.79/5.92 inference(unit_resolution,[status(thm)],[22491, 22490, 22484])).
% 7.79/5.92 tff(22493,plain,
% 7.79/5.92 ((((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0))) | (~((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22494,plain,
% 7.79/5.93 (~((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22493, 22470])).
% 7.79/5.93 tff(22495,plain,
% 7.79/5.93 (((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0)) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22496,plain,
% 7.79/5.93 (~v90(constB192, bitIndex0)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22495, 22494, 22492])).
% 7.79/5.93 tff(22497,plain,
% 7.79/5.93 (((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0)) | (~v90(constB193, bitIndex0)) | v90(constB192, bitIndex0)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22498,plain,
% 7.79/5.93 (~v90(constB193, bitIndex0)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22497, 22496, 22482])).
% 7.79/5.93 tff(22499,plain,
% 7.79/5.93 (((~v88(constB193, bitIndex0)) <=> v90(constB193, bitIndex0)) | (~v88(constB193, bitIndex0)) | v90(constB193, bitIndex0)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22500,plain,
% 7.79/5.93 (~v88(constB193, bitIndex0)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22499, 22498, 22480])).
% 7.79/5.93 tff(22501,plain,
% 7.79/5.93 ((((~v88(constB193, bitIndex1)) <=> v90(constB193, bitIndex1)) | ((~v88(constB193, bitIndex2)) <=> v90(constB193, bitIndex2)) | ((~v88(constB193, bitIndex0)) <=> v90(constB193, bitIndex0))) | (~((~v88(constB193, bitIndex1)) <=> v90(constB193, bitIndex1)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22502,plain,
% 7.79/5.93 (~((~v88(constB193, bitIndex1)) <=> v90(constB193, bitIndex1))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22501, 21898])).
% 7.79/5.93 tff(22503,plain,
% 7.79/5.93 ((((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | ((~v90(constB193, bitIndex2)) <=> v90(constB192, bitIndex2)) | ((~v90(constB193, bitIndex0)) <=> v90(constB192, bitIndex0))) | (~((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22504,plain,
% 7.79/5.93 (~((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22503, 21934])).
% 7.79/5.93 tff(22505,plain,
% 7.79/5.93 ((((~v129(constB192, bitIndex2)) <=> v127(constB191, bitIndex2)) | ((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | ((~v129(constB192, bitIndex0)) <=> v127(constB191, bitIndex0))) | (~((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22506,plain,
% 7.79/5.93 (~((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22505, 21943])).
% 7.79/5.93 tff(22507,plain,
% 7.79/5.93 ((((~v127(constB191, bitIndex2)) <=> v130(constB191, bitIndex2)) | ((~v127(constB191, bitIndex0)) <=> v130(constB191, bitIndex0)) | ((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1))) | (~((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22508,plain,
% 7.79/5.93 (~((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22507, 21957])).
% 7.79/5.93 tff(22509,plain,
% 7.79/5.93 ((v130(constB191, bitIndex0) | (~v130(constB191, bitIndex2)) | (~v130(constB191, bitIndex1))) | v130(constB191, bitIndex1)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22510,plain,
% 7.79/5.93 (v130(constB191, bitIndex1)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22509, 22387])).
% 7.79/5.93 tff(22511,plain,
% 7.79/5.93 (((~v127(constB191, bitIndex1)) <=> v130(constB191, bitIndex1)) | v127(constB191, bitIndex1) | (~v130(constB191, bitIndex1))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22512,plain,
% 7.79/5.93 (v127(constB191, bitIndex1)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22511, 22510, 22508])).
% 7.79/5.93 tff(22513,plain,
% 7.79/5.93 (((~v129(constB192, bitIndex1)) <=> v127(constB191, bitIndex1)) | v129(constB192, bitIndex1) | (~v127(constB191, bitIndex1))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22514,plain,
% 7.79/5.93 (v129(constB192, bitIndex1)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22513, 22512, 22506])).
% 7.79/5.93 tff(22515,plain,
% 7.79/5.93 ((((~v90(constB192, bitIndex2)) <=> v129(constB192, bitIndex2)) | ((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | ((~v90(constB192, bitIndex0)) <=> v129(constB192, bitIndex0))) | (~((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22516,plain,
% 7.79/5.93 (~((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22515, 22470])).
% 7.79/5.93 tff(22517,plain,
% 7.79/5.93 (((~v90(constB192, bitIndex1)) <=> v129(constB192, bitIndex1)) | v90(constB192, bitIndex1) | (~v129(constB192, bitIndex1))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22518,plain,
% 7.79/5.93 (v90(constB192, bitIndex1)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22517, 22516, 22514])).
% 7.79/5.93 tff(22519,plain,
% 7.79/5.93 (((~v90(constB193, bitIndex1)) <=> v90(constB192, bitIndex1)) | v90(constB193, bitIndex1) | (~v90(constB192, bitIndex1))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22520,plain,
% 7.79/5.93 (v90(constB193, bitIndex1)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22519, 22518, 22504])).
% 7.79/5.93 tff(22521,plain,
% 7.79/5.93 (((~v88(constB193, bitIndex1)) <=> v90(constB193, bitIndex1)) | v88(constB193, bitIndex1) | (~v90(constB193, bitIndex1))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22522,plain,
% 7.79/5.93 (v88(constB193, bitIndex1)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22521, 22520, 22502])).
% 7.79/5.93 tff(22523,plain,
% 7.79/5.93 ((~((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0))) | (~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22524,plain,
% 7.79/5.93 (~((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22523, 22522, 22500, 22478])).
% 7.79/5.93 tff(22525,plain,
% 7.79/5.93 ((~(v144(constB193) <=> (~((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0))))) | v144(constB193) | ((~v88(constB193, bitIndex1)) | (~v88(constB193, bitIndex2)) | v88(constB193, bitIndex0))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22526,plain,
% 7.79/5.93 (v144(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22525, 22524, 21896])).
% 7.79/5.93 tff(22527,plain,
% 7.79/5.93 ((v143(constB193) | v144(constB193)) | (~v144(constB193))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22528,plain,
% 7.79/5.93 (v143(constB193) | v144(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22527, 22526])).
% 7.79/5.93 tff(22529,plain,
% 7.79/5.93 ((~(v142(constB193) <=> (v143(constB193) | v144(constB193)))) | v142(constB193) | (~(v143(constB193) | v144(constB193)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22530,plain,
% 7.79/5.93 (v142(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22529, 22528, 21889])).
% 7.79/5.93 tff(22531,plain,
% 7.79/5.93 ((v137(constB193) | v142(constB193)) | (~v142(constB193))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22532,plain,
% 7.79/5.93 (v137(constB193) | v142(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22531, 22530])).
% 7.79/5.93 tff(22533,plain,
% 7.79/5.93 ((~(v136(constB193) <=> (v137(constB193) | v142(constB193)))) | v136(constB193) | (~(v137(constB193) | v142(constB193)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22534,plain,
% 7.79/5.93 ((~(v136(constB193) <=> (v137(constB193) | v142(constB193)))) | v136(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22533, 22532])).
% 7.79/5.93 tff(22535,plain,
% 7.79/5.93 (v136(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22534, 21887])).
% 7.79/5.93 tff(22536,plain,
% 7.79/5.93 ((v136(constB193) | v145(constB193)) | (~v136(constB193))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22537,plain,
% 7.79/5.93 (v136(constB193) | v145(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22536, 22535])).
% 7.79/5.93 tff(22538,plain,
% 7.79/5.93 ((~(v135(constB193) <=> (v136(constB193) | v145(constB193)))) | v135(constB193) | (~(v136(constB193) | v145(constB193)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22539,plain,
% 7.79/5.93 (v135(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22538, 22537, 21885])).
% 7.79/5.93 tff(22540,plain,
% 7.79/5.93 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB193)) | (v86(constB193) <=> v148(constB193)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB193)) | (v86(constB193) <=> v148(constB193)))),
% 7.79/5.93 inference(rewrite,[status(thm)],[])).
% 7.79/5.93 tff(22541,plain,
% 7.79/5.93 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB193)) | (v86(constB193) <=> v148(constB193)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22542,plain,
% 7.79/5.93 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB193)) | (v86(constB193) <=> v148(constB193))),
% 7.79/5.93 inference(modus_ponens,[status(thm)],[22541, 22540])).
% 7.79/5.93 tff(22543,plain,
% 7.79/5.93 (v86(constB193) <=> v148(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22542, 21855, 22539])).
% 7.79/5.93 tff(22544,plain,
% 7.79/5.93 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB193) | (~v142(constB193)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB193) | (~v142(constB193)))),
% 7.79/5.93 inference(rewrite,[status(thm)],[])).
% 7.79/5.93 tff(22545,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB193) | (~v142(constB193)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22546,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB193) | (~v142(constB193))),
% 7.79/5.93 inference(modus_ponens,[status(thm)],[22545, 22544])).
% 7.79/5.93 tff(22547,plain,
% 7.79/5.93 (v148(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22546, 21869, 22530])).
% 7.79/5.93 tff(22548,plain,
% 7.79/5.93 ((~(v86(constB193) <=> v148(constB193))) | v86(constB193) | (~v148(constB193))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22549,plain,
% 7.79/5.93 ((~(v86(constB193) <=> v148(constB193))) | v86(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22548, 22547])).
% 7.79/5.93 tff(22550,plain,
% 7.79/5.93 (v86(constB193)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22549, 22543])).
% 7.79/5.93 tff(22551,plain,
% 7.79/5.93 ($false),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22550, 21883])).
% 7.79/5.93 tff(22552,plain,(~(constB193 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.79/5.93 tff(22553,assumption,(constB177 = VarCurr!0), introduced(assumption)).
% 7.79/5.93 tff(22554,plain,
% 7.79/5.93 (v180(constB177) <=> v180(VarCurr!0)),
% 7.79/5.93 inference(monotonicity,[status(thm)],[22553])).
% 7.79/5.93 tff(22555,plain,
% 7.79/5.93 (v180(VarCurr!0) <=> v180(constB177)),
% 7.79/5.93 inference(symmetry,[status(thm)],[22554])).
% 7.79/5.93 tff(22556,plain,
% 7.79/5.93 (v180(constB177)),
% 7.79/5.93 inference(modus_ponens,[status(thm)],[59, 22555])).
% 7.79/5.93 tff(22557,plain,
% 7.79/5.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB176, constB177)) | (v180(constB177) <=> v178(constB176)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB176, constB177)) | (v180(constB177) <=> v178(constB176)))),
% 7.79/5.93 inference(rewrite,[status(thm)],[])).
% 7.79/5.93 tff(22558,plain,
% 7.79/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB176, constB177)) | (v180(constB177) <=> v178(constB176)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22559,plain,
% 7.79/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB176, constB177)) | (v180(constB177) <=> v178(constB176))),
% 7.79/5.93 inference(modus_ponens,[status(thm)],[22558, 22557])).
% 7.79/5.93 tff(22560,plain,
% 7.79/5.93 (v180(constB177) <=> v178(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22559, 12701, 70])).
% 7.79/5.93 tff(22561,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB176) <=> (v181(constB176) | v185(constB176)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22562,plain,
% 7.79/5.93 (v178(constB176) <=> (v181(constB176) | v185(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22561, 84])).
% 7.79/5.93 tff(22563,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB176) <=> (~((~v186(constB176)) | (~v187(constB176)))))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22564,plain,
% 7.79/5.93 (v185(constB176) <=> (~((~v186(constB176)) | (~v187(constB176))))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22563, 96])).
% 7.79/5.93 tff(22565,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB176) <=> (~((~v184(constB176)) | (~v159(constB176)))))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22566,plain,
% 7.79/5.93 (v187(constB176) <=> (~((~v184(constB176)) | (~v159(constB176))))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22565, 108])).
% 7.79/5.93 tff(22567,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22568,plain,
% 7.79/5.93 (v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176))))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22567, 120])).
% 7.79/5.93 tff(22569,plain,
% 7.79/5.93 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB176)) <=> v1(constB176))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22570,plain,
% 7.79/5.93 ((~v39(constB176)) <=> v1(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22569, 129])).
% 7.79/5.93 tff(22571,plain,
% 7.79/5.93 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176)) | (~v1(constB176))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22572,plain,
% 7.79/5.93 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22571, 20723])).
% 7.79/5.93 tff(22573,plain,
% 7.79/5.93 (~v39(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22572, 22570])).
% 7.79/5.93 tff(22574,plain,
% 7.79/5.93 (((~v39(constB176)) | (~v9(constB176))) | v39(constB176)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22575,plain,
% 7.79/5.93 ((~v39(constB176)) | (~v9(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22574, 22573])).
% 7.79/5.93 tff(22576,plain,
% 7.79/5.93 ((~(v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v184(constB176)) | (~((~v39(constB176)) | (~v9(constB176))))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22577,plain,
% 7.79/5.93 ((~(v184(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v184(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22576, 22575])).
% 7.79/5.93 tff(22578,plain,
% 7.79/5.93 (~v184(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22577, 22568])).
% 7.79/5.93 tff(22579,plain,
% 7.79/5.93 (((~v184(constB176)) | (~v159(constB176))) | v184(constB176)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22580,plain,
% 7.79/5.93 ((~v184(constB176)) | (~v159(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22579, 22578])).
% 7.79/5.93 tff(22581,plain,
% 7.79/5.93 ((~(v187(constB176) <=> (~((~v184(constB176)) | (~v159(constB176)))))) | (~v187(constB176)) | (~((~v184(constB176)) | (~v159(constB176))))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22582,plain,
% 7.79/5.93 ((~(v187(constB176) <=> (~((~v184(constB176)) | (~v159(constB176)))))) | (~v187(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22581, 22580])).
% 7.79/5.93 tff(22583,plain,
% 7.79/5.93 (~v187(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22582, 22566])).
% 7.79/5.93 tff(22584,plain,
% 7.79/5.93 (((~v186(constB176)) | (~v187(constB176))) | v187(constB176)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22585,plain,
% 7.79/5.93 ((~v186(constB176)) | (~v187(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22584, 22583])).
% 7.79/5.93 tff(22586,plain,
% 7.79/5.93 ((~(v185(constB176) <=> (~((~v186(constB176)) | (~v187(constB176)))))) | (~v185(constB176)) | (~((~v186(constB176)) | (~v187(constB176))))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22587,plain,
% 7.79/5.93 (~v185(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22586, 22585, 22564])).
% 7.79/5.93 tff(22588,plain,
% 7.79/5.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176))))))),
% 7.79/5.93 inference(rewrite,[status(thm)],[])).
% 7.79/5.93 tff(22589,plain,
% 7.79/5.93 ((v181(constB176) <=> (~((~v182(constB176)) | (~v157(constB176))))) <=> (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176)))))),
% 7.79/5.93 inference(rewrite,[status(thm)],[])).
% 7.79/5.93 tff(22590,plain,
% 7.79/5.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v182(constB176)) | (~v157(constB176)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176))))))),
% 7.79/5.93 inference(monotonicity,[status(thm)],[22589])).
% 7.79/5.93 tff(22591,plain,
% 7.79/5.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v182(constB176)) | (~v157(constB176)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176))))))),
% 7.79/5.93 inference(transitivity,[status(thm)],[22590, 22588])).
% 7.79/5.93 tff(22592,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v182(constB176)) | (~v157(constB176)))))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22593,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176)))))),
% 7.79/5.93 inference(modus_ponens,[status(thm)],[22592, 22591])).
% 7.79/5.93 tff(22594,plain,
% 7.79/5.93 (v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176))))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22593, 161])).
% 7.79/5.93 tff(22595,plain,
% 7.79/5.93 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB176) <=> v180(constB176))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22596,plain,
% 7.79/5.93 (v157(constB176) <=> v180(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22595, 13])).
% 7.79/5.93 tff(22597,plain,
% 7.79/5.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB175, constB176)) | (v180(constB176) <=> v178(constB175)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB175, constB176)) | (v180(constB176) <=> v178(constB175)))),
% 7.79/5.93 inference(rewrite,[status(thm)],[])).
% 7.79/5.93 tff(22598,plain,
% 7.79/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB175, constB176)) | (v180(constB176) <=> v178(constB175)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22599,plain,
% 7.79/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB175, constB176)) | (v180(constB176) <=> v178(constB175))),
% 7.79/5.93 inference(modus_ponens,[status(thm)],[22598, 22597])).
% 7.79/5.93 tff(22600,plain,
% 7.79/5.93 (v180(constB176) <=> v178(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22599, 12737, 70])).
% 7.79/5.93 tff(22601,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB175) <=> (v181(constB175) | v185(constB175)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22602,plain,
% 7.79/5.93 (v178(constB175) <=> (v181(constB175) | v185(constB175))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22601, 84])).
% 7.79/5.93 tff(22603,plain,
% 7.79/5.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175))))))),
% 7.79/5.93 inference(rewrite,[status(thm)],[])).
% 7.79/5.93 tff(22604,plain,
% 7.79/5.93 ((v181(constB175) <=> (~((~v182(constB175)) | (~v157(constB175))))) <=> (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175)))))),
% 7.79/5.93 inference(rewrite,[status(thm)],[])).
% 7.79/5.93 tff(22605,plain,
% 7.79/5.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v182(constB175)) | (~v157(constB175)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175))))))),
% 7.79/5.93 inference(monotonicity,[status(thm)],[22604])).
% 7.79/5.93 tff(22606,plain,
% 7.79/5.93 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v182(constB175)) | (~v157(constB175)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175))))))),
% 7.79/5.93 inference(transitivity,[status(thm)],[22605, 22603])).
% 7.79/5.93 tff(22607,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v182(constB175)) | (~v157(constB175)))))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22608,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175)))))),
% 7.79/5.93 inference(modus_ponens,[status(thm)],[22607, 22606])).
% 7.79/5.93 tff(22609,plain,
% 7.79/5.93 (v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175))))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22608, 161])).
% 7.79/5.93 tff(22610,plain,
% 7.79/5.93 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB175)) <=> v183(constB175))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22611,plain,
% 7.79/5.93 ((~v182(constB175)) <=> v183(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22610, 193])).
% 7.79/5.93 tff(22612,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB175) <=> (v184(constB175) | v26(constB175)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22613,plain,
% 7.79/5.93 (v183(constB175) <=> (v184(constB175) | v26(constB175))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22612, 202])).
% 7.79/5.93 tff(22614,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22615,plain,
% 7.79/5.93 (v184(constB175) <=> (~((~v39(constB175)) | (~v9(constB175))))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22614, 120])).
% 7.79/5.93 tff(22616,plain,
% 7.79/5.93 (((~![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)))),
% 7.79/5.93 inference(rewrite,[status(thm)],[])).
% 7.79/5.93 tff(22617,plain,
% 7.79/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22618,plain,
% 7.79/5.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175))),
% 7.79/5.93 inference(modus_ponens,[status(thm)],[22617, 22616])).
% 7.79/5.93 tff(22619,plain,
% 7.79/5.93 (v13(constB176) <=> v9(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22618, 12737, 216])).
% 7.79/5.93 tff(22620,plain,
% 7.79/5.93 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB176) <=> v13(constB176))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22621,plain,
% 7.79/5.93 (v6(constB176) <=> v13(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22620, 230])).
% 7.79/5.93 tff(22622,plain,
% 7.79/5.93 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB176)) <=> v6(constB176))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22623,plain,
% 7.79/5.93 ((~v21(constB176)) <=> v6(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22622, 239])).
% 7.79/5.93 tff(22624,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB176) <=> (v20(constB176) | v21(constB176)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22625,plain,
% 7.79/5.93 (v19(constB176) <=> (v20(constB176) | v21(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22624, 248])).
% 7.79/5.93 tff(22626,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22627,plain,
% 7.79/5.93 (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176))))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22626, 260])).
% 7.79/5.93 tff(22628,plain,
% 7.79/5.93 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB176)) <=> v18(constB176))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22629,plain,
% 7.79/5.93 ((~v4(constB176)) <=> v18(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22628, 269])).
% 7.79/5.93 tff(22630,plain,
% 7.79/5.93 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB176)),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22631,plain,
% 7.79/5.93 (v4(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22630, 278])).
% 7.79/5.93 tff(22632,plain,
% 7.79/5.93 ((~((~v4(constB176)) <=> v18(constB176))) | (~v4(constB176)) | (~v18(constB176))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22633,plain,
% 7.79/5.93 (~v18(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22632, 22631, 22629])).
% 7.79/5.93 tff(22634,plain,
% 7.79/5.93 ((~(v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))) | v18(constB176) | ((~v19(constB176)) | (~v22(constB176)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22635,plain,
% 7.79/5.93 ((~v19(constB176)) | (~v22(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22634, 22633, 22627])).
% 7.79/5.93 tff(22636,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB176) <=> (v1(constB176) | v6(constB176)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22637,plain,
% 7.79/5.93 (v22(constB176) <=> (v1(constB176) | v6(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22636, 291])).
% 7.79/5.93 tff(22638,plain,
% 7.79/5.93 ((v1(constB176) | v6(constB176)) | (~v1(constB176))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22639,plain,
% 7.79/5.93 (v1(constB176) | v6(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22638, 20723])).
% 7.79/5.93 tff(22640,plain,
% 7.79/5.93 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176) | (~(v1(constB176) | v6(constB176)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22641,plain,
% 7.79/5.93 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22640, 22639])).
% 7.79/5.93 tff(22642,plain,
% 7.79/5.93 (v22(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22641, 22637])).
% 7.79/5.93 tff(22643,plain,
% 7.79/5.93 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176)) | (~v22(constB176))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22644,plain,
% 7.79/5.93 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22643, 22642])).
% 7.79/5.93 tff(22645,plain,
% 7.79/5.93 (~v19(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22644, 22635])).
% 7.79/5.93 tff(22646,plain,
% 7.79/5.93 ((~(v19(constB176) <=> (v20(constB176) | v21(constB176)))) | v19(constB176) | (~(v20(constB176) | v21(constB176)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22647,plain,
% 7.79/5.93 (~(v20(constB176) | v21(constB176))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22646, 22645, 22625])).
% 7.79/5.93 tff(22648,plain,
% 7.79/5.93 ((v20(constB176) | v21(constB176)) | (~v21(constB176))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22649,plain,
% 7.79/5.93 (~v21(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22648, 22647])).
% 7.79/5.93 tff(22650,plain,
% 7.79/5.93 ((~((~v21(constB176)) <=> v6(constB176))) | v21(constB176) | v6(constB176)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22651,plain,
% 7.79/5.93 (v6(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22650, 22649, 22623])).
% 7.79/5.93 tff(22652,plain,
% 7.79/5.93 ((~(v6(constB176) <=> v13(constB176))) | (~v6(constB176)) | v13(constB176)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22653,plain,
% 7.79/5.93 (v13(constB176)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22652, 22651, 22621])).
% 7.79/5.93 tff(22654,plain,
% 7.79/5.93 ((~(v13(constB176) <=> v9(constB175))) | (~v13(constB176)) | v9(constB175)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22655,plain,
% 7.79/5.93 (v9(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22654, 22653, 22619])).
% 7.79/5.93 tff(22656,plain,
% 7.79/5.93 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB175)) <=> v1(constB175))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22657,plain,
% 7.79/5.93 ((~v39(constB175)) <=> v1(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22656, 129])).
% 7.79/5.93 tff(22658,plain,
% 7.79/5.93 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175) | v1(constB175)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22659,plain,
% 7.79/5.93 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22658, 12781])).
% 7.79/5.93 tff(22660,plain,
% 7.79/5.93 (v39(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22659, 22657])).
% 7.79/5.93 tff(22661,plain,
% 7.79/5.93 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v39(constB175)) | (~v9(constB175))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22662,plain,
% 7.79/5.93 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v9(constB175))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22661, 22660])).
% 7.79/5.93 tff(22663,plain,
% 7.79/5.93 (~((~v39(constB175)) | (~v9(constB175)))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22662, 22655])).
% 7.79/5.93 tff(22664,plain,
% 7.79/5.93 ((~(v184(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))) | v184(constB175) | ((~v39(constB175)) | (~v9(constB175)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22665,plain,
% 7.79/5.93 (v184(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22664, 22663, 22615])).
% 7.79/5.93 tff(22666,plain,
% 7.79/5.93 ((v184(constB175) | v26(constB175)) | (~v184(constB175))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22667,plain,
% 7.79/5.93 (v184(constB175) | v26(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22666, 22665])).
% 7.79/5.93 tff(22668,plain,
% 7.79/5.93 ((~(v183(constB175) <=> (v184(constB175) | v26(constB175)))) | v183(constB175) | (~(v184(constB175) | v26(constB175)))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22669,plain,
% 7.79/5.93 (v183(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22668, 22667, 22613])).
% 7.79/5.93 tff(22670,plain,
% 7.79/5.93 ((~((~v182(constB175)) <=> v183(constB175))) | (~v182(constB175)) | (~v183(constB175))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22671,plain,
% 7.79/5.93 (~v182(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22670, 22669, 22611])).
% 7.79/5.93 tff(22672,plain,
% 7.79/5.93 (((~v157(constB175)) | (~v182(constB175))) | v182(constB175)),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22673,plain,
% 7.79/5.93 ((~v157(constB175)) | (~v182(constB175))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22672, 22671])).
% 7.79/5.93 tff(22674,plain,
% 7.79/5.93 ((~(v181(constB175) <=> (~((~v157(constB175)) | (~v182(constB175)))))) | (~v181(constB175)) | (~((~v157(constB175)) | (~v182(constB175))))),
% 7.79/5.93 inference(tautology,[status(thm)],[])).
% 7.79/5.93 tff(22675,plain,
% 7.79/5.93 (~v181(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22674, 22673, 22609])).
% 7.79/5.93 tff(22676,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB175) <=> (~((~v186(constB175)) | (~v187(constB175)))))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22677,plain,
% 7.79/5.93 (v185(constB175) <=> (~((~v186(constB175)) | (~v187(constB175))))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22676, 96])).
% 7.79/5.93 tff(22678,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB175) <=> (~((~v184(constB175)) | (~v159(constB175)))))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22679,plain,
% 7.79/5.93 (v187(constB175) <=> (~((~v184(constB175)) | (~v159(constB175))))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22678, 108])).
% 7.79/5.93 tff(22680,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB175) <=> v161(constB175))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22681,plain,
% 7.79/5.93 (v159(constB175) <=> v161(constB175)),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22680, 345])).
% 7.79/5.93 tff(22682,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB175) <=> (v145(constB175) | v165(constB175)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22683,plain,
% 7.79/5.93 (v164(constB175) <=> (v145(constB175) | v165(constB175))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22682, 357])).
% 7.79/5.93 tff(22684,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB175) <=> (v142(constB175) | v166(constB175)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22685,plain,
% 7.79/5.93 (v165(constB175) <=> (v142(constB175) | v166(constB175))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22684, 369])).
% 7.79/5.93 tff(22686,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB175) <=> (v141(constB175) | v167(constB175)))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22687,plain,
% 7.79/5.93 (v166(constB175) <=> (v141(constB175) | v167(constB175))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22686, 381])).
% 7.79/5.93 tff(22688,plain,
% 7.79/5.93 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB175) <=> (~((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB175) <=> (~((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0))))))),
% 7.79/5.93 inference(rewrite,[status(thm)],[])).
% 7.79/5.93 tff(22689,plain,
% 7.79/5.93 ((v141(constB175) <=> (~(v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0))))) <=> (v141(constB175) <=> (~((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))))),
% 7.79/5.93 inference(rewrite,[status(thm)],[])).
% 7.79/5.93 tff(22690,plain,
% 7.79/5.93 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB175) <=> (~(v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB175) <=> (~((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0))))))),
% 7.79/5.93 inference(monotonicity,[status(thm)],[22689])).
% 7.79/5.93 tff(22691,plain,
% 7.79/5.93 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB175) <=> (~(v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB175) <=> (~((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0))))))),
% 7.79/5.93 inference(transitivity,[status(thm)],[22690, 22688])).
% 7.79/5.93 tff(22692,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB175) <=> (~(v88(constB175, bitIndex2) | (~v88(constB175, bitIndex1)) | (~v88(constB175, bitIndex0)))))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22693,plain,
% 7.79/5.93 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB175) <=> (~((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))))),
% 7.79/5.93 inference(modus_ponens,[status(thm)],[22692, 22691])).
% 7.79/5.93 tff(22694,plain,
% 7.79/5.93 (v141(constB175) <=> (~((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0))))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22693, 396])).
% 7.79/5.93 tff(22695,plain,
% 7.79/5.93 ((~![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))))),
% 7.79/5.93 inference(quant_inst,[status(thm)],[])).
% 7.79/5.93 tff(22696,plain,
% 7.79/5.93 (~(((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)) | ((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)) | ((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0)))),
% 7.79/5.93 inference(unit_resolution,[status(thm)],[22695, 416])).
% 7.82/5.93 tff(22697,plain,
% 7.82/5.93 ((((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)) | ((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)) | ((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0))) | (~((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)))),
% 7.82/5.93 inference(tautology,[status(thm)],[])).
% 7.82/5.93 tff(22698,plain,
% 7.82/5.93 (~((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2))),
% 7.82/5.93 inference(unit_resolution,[status(thm)],[22697, 22696])).
% 7.82/5.93 tff(22699,plain,
% 7.82/5.93 (((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)) | (~v88(constB175, bitIndex2)) | v90(constB175, bitIndex2)),
% 7.82/5.93 inference(tautology,[status(thm)],[])).
% 7.82/5.93 tff(22700,plain,
% 7.82/5.93 (~v88(constB175, bitIndex2)),
% 7.82/5.93 inference(unit_resolution,[status(thm)],[22699, 20645, 22698])).
% 7.82/5.93 tff(22701,plain,
% 7.82/5.93 ((((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)) | ((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)) | ((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0))) | (~((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0)))),
% 7.82/5.93 inference(tautology,[status(thm)],[])).
% 7.82/5.93 tff(22702,plain,
% 7.82/5.93 (~((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0))),
% 7.82/5.93 inference(unit_resolution,[status(thm)],[22701, 22696])).
% 7.82/5.93 tff(22703,plain,
% 7.82/5.93 (((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0)) | v88(constB175, bitIndex0) | (~v90(constB175, bitIndex0))),
% 7.82/5.93 inference(tautology,[status(thm)],[])).
% 7.82/5.93 tff(22704,plain,
% 7.82/5.93 (v88(constB175, bitIndex0)),
% 7.82/5.93 inference(unit_resolution,[status(thm)],[22703, 20663, 22702])).
% 7.82/5.93 tff(22705,plain,
% 7.82/5.93 ((((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)) | ((~v88(constB175, bitIndex2)) <=> v90(constB175, bitIndex2)) | ((~v88(constB175, bitIndex0)) <=> v90(constB175, bitIndex0))) | (~((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)))),
% 7.82/5.93 inference(tautology,[status(thm)],[])).
% 7.82/5.93 tff(22706,plain,
% 7.82/5.93 (~((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1))),
% 7.82/5.93 inference(unit_resolution,[status(thm)],[22705, 22696])).
% 7.82/5.93 tff(22707,plain,
% 7.82/5.93 (((~v88(constB175, bitIndex1)) <=> v90(constB175, bitIndex1)) | v88(constB175, bitIndex1) | (~v90(constB175, bitIndex1))),
% 7.82/5.93 inference(tautology,[status(thm)],[])).
% 7.82/5.93 tff(22708,plain,
% 7.82/5.93 (v88(constB175, bitIndex1)),
% 7.82/5.93 inference(unit_resolution,[status(thm)],[22707, 20681, 22706])).
% 7.82/5.93 tff(22709,plain,
% 7.82/5.93 ((~((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))) | (~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0))),
% 7.82/5.93 inference(tautology,[status(thm)],[])).
% 7.82/5.93 tff(22710,plain,
% 7.82/5.93 (~((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))),
% 7.82/5.93 inference(unit_resolution,[status(thm)],[22709, 22708, 22704, 22700])).
% 7.82/5.93 tff(22711,plain,
% 7.82/5.93 ((~(v141(constB175) <=> (~((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))))) | v141(constB175) | ((~v88(constB175, bitIndex1)) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))),
% 7.82/5.93 inference(tautology,[status(thm)],[])).
% 7.82/5.93 tff(22712,plain,
% 7.82/5.93 (v141(constB175)),
% 7.82/5.93 inference(unit_resolution,[status(thm)],[22711, 22710, 22694])).
% 7.82/5.93 tff(22713,plain,
% 7.82/5.93 ((v141(constB175) | v167(constB175)) | (~v141(constB175))),
% 7.82/5.93 inference(tautology,[status(thm)],[])).
% 7.82/5.93 tff(22714,plain,
% 7.82/5.93 (v141(constB175) | v167(constB175)),
% 7.82/5.93 inference(unit_resolution,[status(thm)],[22713, 22712])).
% 7.82/5.93 tff(22715,plain,
% 7.82/5.93 ((~(v166(constB175) <=> (v141(constB175) | v167(constB175)))) | v166(constB175) | (~(v141(constB175) | v167(constB175)))),
% 7.82/5.93 inference(tautology,[status(thm)],[])).
% 7.82/5.93 tff(22716,plain,
% 7.82/5.93 (v166(constB175)),
% 7.82/5.93 inference(unit_resolution,[status(thm)],[22715, 22714, 22687])).
% 7.82/5.93 tff(22717,plain,
% 7.82/5.93 ((v142(constB175) | v166(constB175)) | (~v166(constB175))),
% 7.82/5.93 inference(tautology,[status(thm)],[])).
% 7.82/5.93 tff(22718,plain,
% 7.82/5.93 (v142(constB175) | v166(constB175)),
% 7.82/5.93 inference(unit_resolution,[status(thm)],[22717, 22716])).
% 7.82/5.93 tff(22719,plain,
% 7.82/5.93 ((~(v165(constB175) <=> (v142(constB175) | v166(constB175)))) | v165(constB175) | (~(v142(constB175) | v166(constB175)))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22720,plain,
% 7.82/5.94 ((~(v165(constB175) <=> (v142(constB175) | v166(constB175)))) | v165(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22719, 22718])).
% 7.82/5.94 tff(22721,plain,
% 7.82/5.94 (v165(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22720, 22685])).
% 7.82/5.94 tff(22722,plain,
% 7.82/5.94 ((v145(constB175) | v165(constB175)) | (~v165(constB175))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22723,plain,
% 7.82/5.94 (v145(constB175) | v165(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22722, 22721])).
% 7.82/5.94 tff(22724,plain,
% 7.82/5.94 ((~(v164(constB175) <=> (v145(constB175) | v165(constB175)))) | v164(constB175) | (~(v145(constB175) | v165(constB175)))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22725,plain,
% 7.82/5.94 (v164(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22724, 22723, 22683])).
% 7.82/5.94 tff(22726,plain,
% 7.82/5.94 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB175)) | (v161(constB175) <=> v168(constB175)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB175)) | (v161(constB175) <=> v168(constB175)))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22727,plain,
% 7.82/5.94 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB175)) | (v161(constB175) <=> v168(constB175)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22728,plain,
% 7.82/5.94 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB175)) | (v161(constB175) <=> v168(constB175))),
% 7.82/5.94 inference(modus_ponens,[status(thm)],[22727, 22726])).
% 7.82/5.94 tff(22729,plain,
% 7.82/5.94 ((~v164(constB175)) | (v161(constB175) <=> v168(constB175))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22728, 12128])).
% 7.82/5.94 tff(22730,plain,
% 7.82/5.94 (v161(constB175) <=> v168(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22729, 22725])).
% 7.82/5.94 tff(22731,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB175) <=> (~(v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22732,plain,
% 7.82/5.94 (v139(constB175) <=> (~(v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2)))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22731, 12146])).
% 7.82/5.94 tff(22733,plain,
% 7.82/5.94 ((v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2)) | (~v88(constB175, bitIndex0))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22734,plain,
% 7.82/5.94 (v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22733, 22704])).
% 7.82/5.94 tff(22735,plain,
% 7.82/5.94 ((~(v139(constB175) <=> (~(v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2))))) | (~v139(constB175)) | (~(v88(constB175, bitIndex0) | v88(constB175, bitIndex1) | v88(constB175, bitIndex2)))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22736,plain,
% 7.82/5.94 (~v139(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22735, 22734, 22732])).
% 7.82/5.94 tff(22737,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB175) <=> (~(v88(constB175, bitIndex1) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22738,plain,
% 7.82/5.94 (v140(constB175) <=> (~(v88(constB175, bitIndex1) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0))))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22737, 12165])).
% 7.82/5.94 tff(22739,plain,
% 7.82/5.94 ((v88(constB175, bitIndex1) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0))) | (~v88(constB175, bitIndex1))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22740,plain,
% 7.82/5.94 (v88(constB175, bitIndex1) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22739, 22708])).
% 7.82/5.94 tff(22741,plain,
% 7.82/5.94 ((~(v140(constB175) <=> (~(v88(constB175, bitIndex1) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0)))))) | (~v140(constB175)) | (~(v88(constB175, bitIndex1) | v88(constB175, bitIndex2) | (~v88(constB175, bitIndex0))))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22742,plain,
% 7.82/5.94 (~v140(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22741, 22740, 22738])).
% 7.82/5.94 tff(22743,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB175) | v140(constB175) | (~v168(constB175)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB175) | v140(constB175) | (~v168(constB175)))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22744,plain,
% 7.82/5.94 ((v140(constB175) | v139(constB175) | (~v168(constB175))) <=> (v139(constB175) | v140(constB175) | (~v168(constB175)))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22745,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v168(constB175)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB175) | v140(constB175) | (~v168(constB175))))),
% 7.82/5.94 inference(monotonicity,[status(thm)],[22744])).
% 7.82/5.94 tff(22746,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v168(constB175)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB175) | v140(constB175) | (~v168(constB175)))),
% 7.82/5.94 inference(transitivity,[status(thm)],[22745, 22743])).
% 7.82/5.94 tff(22747,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB175) | v139(constB175) | (~v168(constB175)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22748,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB175) | v140(constB175) | (~v168(constB175))),
% 7.82/5.94 inference(modus_ponens,[status(thm)],[22747, 22746])).
% 7.82/5.94 tff(22749,plain,
% 7.82/5.94 (v139(constB175) | v140(constB175) | (~v168(constB175))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22748, 12184])).
% 7.82/5.94 tff(22750,plain,
% 7.82/5.94 (~v168(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22749, 22742, 22736])).
% 7.82/5.94 tff(22751,plain,
% 7.82/5.94 ((~(v161(constB175) <=> v168(constB175))) | (~v161(constB175)) | v168(constB175)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22752,plain,
% 7.82/5.94 ((~(v161(constB175) <=> v168(constB175))) | (~v161(constB175))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22751, 22750])).
% 7.82/5.94 tff(22753,plain,
% 7.82/5.94 (~v161(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22752, 22730])).
% 7.82/5.94 tff(22754,plain,
% 7.82/5.94 ((~(v159(constB175) <=> v161(constB175))) | (~v159(constB175)) | v161(constB175)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22755,plain,
% 7.82/5.94 ((~(v159(constB175) <=> v161(constB175))) | (~v159(constB175))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22754, 22753])).
% 7.82/5.94 tff(22756,plain,
% 7.82/5.94 (~v159(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22755, 22681])).
% 7.82/5.94 tff(22757,plain,
% 7.82/5.94 (((~v184(constB175)) | (~v159(constB175))) | v159(constB175)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22758,plain,
% 7.82/5.94 ((~v184(constB175)) | (~v159(constB175))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22757, 22756])).
% 7.82/5.94 tff(22759,plain,
% 7.82/5.94 ((~(v187(constB175) <=> (~((~v184(constB175)) | (~v159(constB175)))))) | (~v187(constB175)) | (~((~v184(constB175)) | (~v159(constB175))))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22760,plain,
% 7.82/5.94 (~v187(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22759, 22758, 22679])).
% 7.82/5.94 tff(22761,plain,
% 7.82/5.94 (((~v186(constB175)) | (~v187(constB175))) | v187(constB175)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22762,plain,
% 7.82/5.94 ((~v186(constB175)) | (~v187(constB175))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22761, 22760])).
% 7.82/5.94 tff(22763,plain,
% 7.82/5.94 ((~(v185(constB175) <=> (~((~v186(constB175)) | (~v187(constB175)))))) | (~v185(constB175)) | (~((~v186(constB175)) | (~v187(constB175))))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22764,plain,
% 7.82/5.94 (~v185(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22763, 22762, 22677])).
% 7.82/5.94 tff(22765,plain,
% 7.82/5.94 ((~(v181(constB175) | v185(constB175))) | v181(constB175) | v185(constB175)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22766,plain,
% 7.82/5.94 (~(v181(constB175) | v185(constB175))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22765, 22764, 22675])).
% 7.82/5.94 tff(22767,plain,
% 7.82/5.94 ((~(v178(constB175) <=> (v181(constB175) | v185(constB175)))) | (~v178(constB175)) | (v181(constB175) | v185(constB175))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22768,plain,
% 7.82/5.94 (~v178(constB175)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22767, 22766, 22602])).
% 7.82/5.94 tff(22769,plain,
% 7.82/5.94 ((~(v180(constB176) <=> v178(constB175))) | (~v180(constB176)) | v178(constB175)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22770,plain,
% 7.82/5.94 (~v180(constB176)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22769, 22768, 22600])).
% 7.82/5.94 tff(22771,plain,
% 7.82/5.94 ((~(v157(constB176) <=> v180(constB176))) | (~v157(constB176)) | v180(constB176)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22772,plain,
% 7.82/5.94 (~v157(constB176)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22771, 22770, 22596])).
% 7.82/5.94 tff(22773,plain,
% 7.82/5.94 (((~v157(constB176)) | (~v182(constB176))) | v157(constB176)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22774,plain,
% 7.82/5.94 ((~v157(constB176)) | (~v182(constB176))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22773, 22772])).
% 7.82/5.94 tff(22775,plain,
% 7.82/5.94 ((~(v181(constB176) <=> (~((~v157(constB176)) | (~v182(constB176)))))) | (~v181(constB176)) | (~((~v157(constB176)) | (~v182(constB176))))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22776,plain,
% 7.82/5.94 (~v181(constB176)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22775, 22774, 22594])).
% 7.82/5.94 tff(22777,plain,
% 7.82/5.94 ((~(v181(constB176) | v185(constB176))) | v181(constB176) | v185(constB176)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22778,plain,
% 7.82/5.94 (~(v181(constB176) | v185(constB176))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22777, 22776, 22587])).
% 7.82/5.94 tff(22779,plain,
% 7.82/5.94 ((~(v178(constB176) <=> (v181(constB176) | v185(constB176)))) | (~v178(constB176)) | (v181(constB176) | v185(constB176))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22780,plain,
% 7.82/5.94 (~v178(constB176)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22779, 22778, 22562])).
% 7.82/5.94 tff(22781,plain,
% 7.82/5.94 ((~(v180(constB177) <=> v178(constB176))) | (~v180(constB177)) | v178(constB176)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22782,plain,
% 7.82/5.94 (~v180(constB177)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22781, 22780, 22560])).
% 7.82/5.94 tff(22783,plain,
% 7.82/5.94 ($false),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22782, 22556])).
% 7.82/5.94 tff(22784,plain,(~(constB177 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.82/5.94 tff(22785,assumption,(constB45 = VarCurr!0), introduced(assumption)).
% 7.82/5.94 tff(22786,plain,
% 7.82/5.94 (v180(constB45) <=> v180(VarCurr!0)),
% 7.82/5.94 inference(monotonicity,[status(thm)],[22785])).
% 7.82/5.94 tff(22787,plain,
% 7.82/5.94 (v180(VarCurr!0) <=> v180(constB45)),
% 7.82/5.94 inference(symmetry,[status(thm)],[22786])).
% 7.82/5.94 tff(22788,plain,
% 7.82/5.94 (v180(constB45)),
% 7.82/5.94 inference(modus_ponens,[status(thm)],[59, 22787])).
% 7.82/5.94 tff(22789,plain,
% 7.82/5.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB44, constB45)) | (v180(constB45) <=> v178(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB44, constB45)) | (v180(constB45) <=> v178(constB44)))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22790,plain,
% 7.82/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB44, constB45)) | (v180(constB45) <=> v178(constB44)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22791,plain,
% 7.82/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB44, constB45)) | (v180(constB45) <=> v178(constB44))),
% 7.82/5.94 inference(modus_ponens,[status(thm)],[22790, 22789])).
% 7.82/5.94 tff(22792,plain,
% 7.82/5.94 (v180(constB45) <=> v178(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22791, 2447, 70])).
% 7.82/5.94 tff(22793,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB44) <=> (v181(constB44) | v185(constB44)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22794,plain,
% 7.82/5.94 (v178(constB44) <=> (v181(constB44) | v185(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22793, 84])).
% 7.82/5.94 tff(22795,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB44) <=> (~((~v186(constB44)) | (~v187(constB44)))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22796,plain,
% 7.82/5.94 (v185(constB44) <=> (~((~v186(constB44)) | (~v187(constB44))))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22795, 96])).
% 7.82/5.94 tff(22797,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB44) <=> (~((~v184(constB44)) | (~v159(constB44)))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22798,plain,
% 7.82/5.94 (v187(constB44) <=> (~((~v184(constB44)) | (~v159(constB44))))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22797, 108])).
% 7.82/5.94 tff(22799,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22800,plain,
% 7.82/5.94 (v184(constB44) <=> (~((~v39(constB44)) | (~v9(constB44))))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22799, 120])).
% 7.82/5.94 tff(22801,plain,
% 7.82/5.94 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB44)) <=> v1(constB44))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22802,plain,
% 7.82/5.94 ((~v39(constB44)) <=> v1(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22801, 129])).
% 7.82/5.94 tff(22803,plain,
% 7.82/5.94 ((~((~v39(constB44)) <=> v1(constB44))) | (~v39(constB44)) | (~v1(constB44))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22804,plain,
% 7.82/5.94 ((~((~v39(constB44)) <=> v1(constB44))) | (~v39(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22803, 7458])).
% 7.82/5.94 tff(22805,plain,
% 7.82/5.94 (~v39(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22804, 22802])).
% 7.82/5.94 tff(22806,plain,
% 7.82/5.94 (((~v39(constB44)) | (~v9(constB44))) | v39(constB44)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22807,plain,
% 7.82/5.94 ((~v39(constB44)) | (~v9(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22806, 22805])).
% 7.82/5.94 tff(22808,plain,
% 7.82/5.94 ((~(v184(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))) | (~v184(constB44)) | (~((~v39(constB44)) | (~v9(constB44))))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22809,plain,
% 7.82/5.94 ((~(v184(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))) | (~v184(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22808, 22807])).
% 7.82/5.94 tff(22810,plain,
% 7.82/5.94 (~v184(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22809, 22800])).
% 7.82/5.94 tff(22811,plain,
% 7.82/5.94 (((~v184(constB44)) | (~v159(constB44))) | v184(constB44)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22812,plain,
% 7.82/5.94 ((~v184(constB44)) | (~v159(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22811, 22810])).
% 7.82/5.94 tff(22813,plain,
% 7.82/5.94 ((~(v187(constB44) <=> (~((~v184(constB44)) | (~v159(constB44)))))) | (~v187(constB44)) | (~((~v184(constB44)) | (~v159(constB44))))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22814,plain,
% 7.82/5.94 ((~(v187(constB44) <=> (~((~v184(constB44)) | (~v159(constB44)))))) | (~v187(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22813, 22812])).
% 7.82/5.94 tff(22815,plain,
% 7.82/5.94 (~v187(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22814, 22798])).
% 7.82/5.94 tff(22816,plain,
% 7.82/5.94 (((~v186(constB44)) | (~v187(constB44))) | v187(constB44)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22817,plain,
% 7.82/5.94 ((~v186(constB44)) | (~v187(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22816, 22815])).
% 7.82/5.94 tff(22818,plain,
% 7.82/5.94 ((~(v185(constB44) <=> (~((~v186(constB44)) | (~v187(constB44)))))) | (~v185(constB44)) | (~((~v186(constB44)) | (~v187(constB44))))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22819,plain,
% 7.82/5.94 (~v185(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22818, 22817, 22796])).
% 7.82/5.94 tff(22820,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44))))))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22821,plain,
% 7.82/5.94 ((v181(constB44) <=> (~((~v182(constB44)) | (~v157(constB44))))) <=> (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44)))))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22822,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v182(constB44)) | (~v157(constB44)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44))))))),
% 7.82/5.94 inference(monotonicity,[status(thm)],[22821])).
% 7.82/5.94 tff(22823,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v182(constB44)) | (~v157(constB44)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44))))))),
% 7.82/5.94 inference(transitivity,[status(thm)],[22822, 22820])).
% 7.82/5.94 tff(22824,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v182(constB44)) | (~v157(constB44)))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22825,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44)))))),
% 7.82/5.94 inference(modus_ponens,[status(thm)],[22824, 22823])).
% 7.82/5.94 tff(22826,plain,
% 7.82/5.94 (v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44))))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22825, 161])).
% 7.82/5.94 tff(22827,plain,
% 7.82/5.94 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB44) <=> v180(constB44))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22828,plain,
% 7.82/5.94 (v157(constB44) <=> v180(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22827, 13])).
% 7.82/5.94 tff(22829,plain,
% 7.82/5.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB43, constB44)) | (v180(constB44) <=> v178(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB43, constB44)) | (v180(constB44) <=> v178(constB43)))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22830,plain,
% 7.82/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB43, constB44)) | (v180(constB44) <=> v178(constB43)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22831,plain,
% 7.82/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB43, constB44)) | (v180(constB44) <=> v178(constB43))),
% 7.82/5.94 inference(modus_ponens,[status(thm)],[22830, 22829])).
% 7.82/5.94 tff(22832,plain,
% 7.82/5.94 (v180(constB44) <=> v178(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22831, 2483, 70])).
% 7.82/5.94 tff(22833,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB43) <=> (v181(constB43) | v185(constB43)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22834,plain,
% 7.82/5.94 (v178(constB43) <=> (v181(constB43) | v185(constB43))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22833, 84])).
% 7.82/5.94 tff(22835,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43))))))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22836,plain,
% 7.82/5.94 ((v181(constB43) <=> (~((~v182(constB43)) | (~v157(constB43))))) <=> (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43)))))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22837,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v182(constB43)) | (~v157(constB43)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43))))))),
% 7.82/5.94 inference(monotonicity,[status(thm)],[22836])).
% 7.82/5.94 tff(22838,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v182(constB43)) | (~v157(constB43)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43))))))),
% 7.82/5.94 inference(transitivity,[status(thm)],[22837, 22835])).
% 7.82/5.94 tff(22839,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v182(constB43)) | (~v157(constB43)))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22840,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43)))))),
% 7.82/5.94 inference(modus_ponens,[status(thm)],[22839, 22838])).
% 7.82/5.94 tff(22841,plain,
% 7.82/5.94 (v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43))))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22840, 161])).
% 7.82/5.94 tff(22842,plain,
% 7.82/5.94 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB43)) <=> v183(constB43))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22843,plain,
% 7.82/5.94 ((~v182(constB43)) <=> v183(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22842, 193])).
% 7.82/5.94 tff(22844,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB43) <=> (v184(constB43) | v26(constB43)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22845,plain,
% 7.82/5.94 (v183(constB43) <=> (v184(constB43) | v26(constB43))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22844, 202])).
% 7.82/5.94 tff(22846,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB43) <=> (~((~v39(constB43)) | (~v9(constB43)))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22847,plain,
% 7.82/5.94 (v184(constB43) <=> (~((~v39(constB43)) | (~v9(constB43))))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22846, 120])).
% 7.82/5.94 tff(22848,plain,
% 7.82/5.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43)))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22849,plain,
% 7.82/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22850,plain,
% 7.82/5.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43))),
% 7.82/5.94 inference(modus_ponens,[status(thm)],[22849, 22848])).
% 7.82/5.94 tff(22851,plain,
% 7.82/5.94 (v13(constB44) <=> v9(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22850, 2483, 216])).
% 7.82/5.94 tff(22852,plain,
% 7.82/5.94 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB44) <=> v13(constB44))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22853,plain,
% 7.82/5.94 (v6(constB44) <=> v13(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22852, 230])).
% 7.82/5.94 tff(22854,plain,
% 7.82/5.94 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB44)) <=> v6(constB44))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22855,plain,
% 7.82/5.94 ((~v21(constB44)) <=> v6(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22854, 239])).
% 7.82/5.94 tff(22856,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB44) <=> (v20(constB44) | v21(constB44)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22857,plain,
% 7.82/5.94 (v19(constB44) <=> (v20(constB44) | v21(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22856, 248])).
% 7.82/5.94 tff(22858,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44)))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22859,plain,
% 7.82/5.94 (v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44))))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22858, 260])).
% 7.82/5.94 tff(22860,plain,
% 7.82/5.94 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB44)) <=> v18(constB44))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22861,plain,
% 7.82/5.94 ((~v4(constB44)) <=> v18(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22860, 269])).
% 7.82/5.94 tff(22862,plain,
% 7.82/5.94 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB44)),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22863,plain,
% 7.82/5.94 (v4(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22862, 278])).
% 7.82/5.94 tff(22864,plain,
% 7.82/5.94 ((~((~v4(constB44)) <=> v18(constB44))) | (~v4(constB44)) | (~v18(constB44))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22865,plain,
% 7.82/5.94 (~v18(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22864, 22863, 22861])).
% 7.82/5.94 tff(22866,plain,
% 7.82/5.94 ((~(v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44)))))) | v18(constB44) | ((~v19(constB44)) | (~v22(constB44)))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22867,plain,
% 7.82/5.94 ((~v19(constB44)) | (~v22(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22866, 22865, 22859])).
% 7.82/5.94 tff(22868,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB44) <=> (v1(constB44) | v6(constB44)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22869,plain,
% 7.82/5.94 (v22(constB44) <=> (v1(constB44) | v6(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22868, 291])).
% 7.82/5.94 tff(22870,plain,
% 7.82/5.94 ((v1(constB44) | v6(constB44)) | (~v1(constB44))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22871,plain,
% 7.82/5.94 (v1(constB44) | v6(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22870, 7458])).
% 7.82/5.94 tff(22872,plain,
% 7.82/5.94 ((~(v22(constB44) <=> (v1(constB44) | v6(constB44)))) | v22(constB44) | (~(v1(constB44) | v6(constB44)))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22873,plain,
% 7.82/5.94 ((~(v22(constB44) <=> (v1(constB44) | v6(constB44)))) | v22(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22872, 22871])).
% 7.82/5.94 tff(22874,plain,
% 7.82/5.94 (v22(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22873, 22869])).
% 7.82/5.94 tff(22875,plain,
% 7.82/5.94 ((~((~v19(constB44)) | (~v22(constB44)))) | (~v19(constB44)) | (~v22(constB44))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22876,plain,
% 7.82/5.94 ((~((~v19(constB44)) | (~v22(constB44)))) | (~v19(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22875, 22874])).
% 7.82/5.94 tff(22877,plain,
% 7.82/5.94 (~v19(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22876, 22867])).
% 7.82/5.94 tff(22878,plain,
% 7.82/5.94 ((~(v19(constB44) <=> (v20(constB44) | v21(constB44)))) | v19(constB44) | (~(v20(constB44) | v21(constB44)))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22879,plain,
% 7.82/5.94 (~(v20(constB44) | v21(constB44))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22878, 22877, 22857])).
% 7.82/5.94 tff(22880,plain,
% 7.82/5.94 ((v20(constB44) | v21(constB44)) | (~v21(constB44))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22881,plain,
% 7.82/5.94 (~v21(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22880, 22879])).
% 7.82/5.94 tff(22882,plain,
% 7.82/5.94 ((~((~v21(constB44)) <=> v6(constB44))) | v21(constB44) | v6(constB44)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22883,plain,
% 7.82/5.94 (v6(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22882, 22881, 22855])).
% 7.82/5.94 tff(22884,plain,
% 7.82/5.94 ((~(v6(constB44) <=> v13(constB44))) | (~v6(constB44)) | v13(constB44)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22885,plain,
% 7.82/5.94 (v13(constB44)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22884, 22883, 22853])).
% 7.82/5.94 tff(22886,plain,
% 7.82/5.94 ((~(v13(constB44) <=> v9(constB43))) | (~v13(constB44)) | v9(constB43)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22887,plain,
% 7.82/5.94 (v9(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22886, 22885, 22851])).
% 7.82/5.94 tff(22888,plain,
% 7.82/5.94 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB43)) <=> v1(constB43))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22889,plain,
% 7.82/5.94 ((~v39(constB43)) <=> v1(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22888, 129])).
% 7.82/5.94 tff(22890,plain,
% 7.82/5.94 ((~((~v39(constB43)) <=> v1(constB43))) | v39(constB43) | v1(constB43)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22891,plain,
% 7.82/5.94 ((~((~v39(constB43)) <=> v1(constB43))) | v39(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22890, 2527])).
% 7.82/5.94 tff(22892,plain,
% 7.82/5.94 (v39(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22891, 22889])).
% 7.82/5.94 tff(22893,plain,
% 7.82/5.94 ((~((~v39(constB43)) | (~v9(constB43)))) | (~v39(constB43)) | (~v9(constB43))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22894,plain,
% 7.82/5.94 ((~((~v39(constB43)) | (~v9(constB43)))) | (~v9(constB43))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22893, 22892])).
% 7.82/5.94 tff(22895,plain,
% 7.82/5.94 (~((~v39(constB43)) | (~v9(constB43)))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22894, 22887])).
% 7.82/5.94 tff(22896,plain,
% 7.82/5.94 ((~(v184(constB43) <=> (~((~v39(constB43)) | (~v9(constB43)))))) | v184(constB43) | ((~v39(constB43)) | (~v9(constB43)))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22897,plain,
% 7.82/5.94 (v184(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22896, 22895, 22847])).
% 7.82/5.94 tff(22898,plain,
% 7.82/5.94 ((v184(constB43) | v26(constB43)) | (~v184(constB43))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22899,plain,
% 7.82/5.94 (v184(constB43) | v26(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22898, 22897])).
% 7.82/5.94 tff(22900,plain,
% 7.82/5.94 ((~(v183(constB43) <=> (v184(constB43) | v26(constB43)))) | v183(constB43) | (~(v184(constB43) | v26(constB43)))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22901,plain,
% 7.82/5.94 (v183(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22900, 22899, 22845])).
% 7.82/5.94 tff(22902,plain,
% 7.82/5.94 ((~((~v182(constB43)) <=> v183(constB43))) | (~v182(constB43)) | (~v183(constB43))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22903,plain,
% 7.82/5.94 (~v182(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22902, 22901, 22843])).
% 7.82/5.94 tff(22904,plain,
% 7.82/5.94 (((~v157(constB43)) | (~v182(constB43))) | v182(constB43)),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22905,plain,
% 7.82/5.94 ((~v157(constB43)) | (~v182(constB43))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22904, 22903])).
% 7.82/5.94 tff(22906,plain,
% 7.82/5.94 ((~(v181(constB43) <=> (~((~v157(constB43)) | (~v182(constB43)))))) | (~v181(constB43)) | (~((~v157(constB43)) | (~v182(constB43))))),
% 7.82/5.94 inference(tautology,[status(thm)],[])).
% 7.82/5.94 tff(22907,plain,
% 7.82/5.94 (~v181(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22906, 22905, 22841])).
% 7.82/5.94 tff(22908,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB43) <=> (~((~v186(constB43)) | (~v187(constB43)))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22909,plain,
% 7.82/5.94 (v185(constB43) <=> (~((~v186(constB43)) | (~v187(constB43))))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22908, 96])).
% 7.82/5.94 tff(22910,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB43) <=> (~((~v184(constB43)) | (~v159(constB43)))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22911,plain,
% 7.82/5.94 (v187(constB43) <=> (~((~v184(constB43)) | (~v159(constB43))))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22910, 108])).
% 7.82/5.94 tff(22912,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB43) <=> v161(constB43))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22913,plain,
% 7.82/5.94 (v159(constB43) <=> v161(constB43)),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22912, 345])).
% 7.82/5.94 tff(22914,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB43) <=> (v145(constB43) | v165(constB43)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22915,plain,
% 7.82/5.94 (v164(constB43) <=> (v145(constB43) | v165(constB43))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22914, 357])).
% 7.82/5.94 tff(22916,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB43) <=> (v142(constB43) | v166(constB43)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22917,plain,
% 7.82/5.94 (v165(constB43) <=> (v142(constB43) | v166(constB43))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22916, 369])).
% 7.82/5.94 tff(22918,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB43) <=> (v141(constB43) | v167(constB43)))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22919,plain,
% 7.82/5.94 (v166(constB43) <=> (v141(constB43) | v167(constB43))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22918, 381])).
% 7.82/5.94 tff(22920,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB43) <=> (~((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB43) <=> (~((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0))))))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22921,plain,
% 7.82/5.94 ((v141(constB43) <=> (~(v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0))))) <=> (v141(constB43) <=> (~((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))))),
% 7.82/5.94 inference(rewrite,[status(thm)],[])).
% 7.82/5.94 tff(22922,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB43) <=> (~(v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB43) <=> (~((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0))))))),
% 7.82/5.94 inference(monotonicity,[status(thm)],[22921])).
% 7.82/5.94 tff(22923,plain,
% 7.82/5.94 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB43) <=> (~(v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB43) <=> (~((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0))))))),
% 7.82/5.94 inference(transitivity,[status(thm)],[22922, 22920])).
% 7.82/5.94 tff(22924,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB43) <=> (~(v88(constB43, bitIndex2) | (~v88(constB43, bitIndex1)) | (~v88(constB43, bitIndex0)))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22925,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB43) <=> (~((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))))),
% 7.82/5.94 inference(modus_ponens,[status(thm)],[22924, 22923])).
% 7.82/5.94 tff(22926,plain,
% 7.82/5.94 (v141(constB43) <=> (~((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0))))),
% 7.82/5.94 inference(unit_resolution,[status(thm)],[22925, 396])).
% 7.82/5.94 tff(22927,plain,
% 7.82/5.94 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB43, bitIndex1)) <=> v90(constB43, bitIndex1)) | ((~v88(constB43, bitIndex2)) <=> v90(constB43, bitIndex2)) | ((~v88(constB43, bitIndex0)) <=> v90(constB43, bitIndex0))))),
% 7.82/5.94 inference(quant_inst,[status(thm)],[])).
% 7.82/5.94 tff(22928,plain,
% 7.82/5.94 (~(((~v88(constB43, bitIndex1)) <=> v90(constB43, bitIndex1)) | ((~v88(constB43, bitIndex2)) <=> v90(constB43, bitIndex2)) | ((~v88(constB43, bitIndex0)) <=> v90(constB43, bitIndex0)))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22927, 416])).
% 7.82/5.95 tff(22929,plain,
% 7.82/5.95 ((((~v88(constB43, bitIndex1)) <=> v90(constB43, bitIndex1)) | ((~v88(constB43, bitIndex2)) <=> v90(constB43, bitIndex2)) | ((~v88(constB43, bitIndex0)) <=> v90(constB43, bitIndex0))) | (~((~v88(constB43, bitIndex2)) <=> v90(constB43, bitIndex2)))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22930,plain,
% 7.82/5.95 (~((~v88(constB43, bitIndex2)) <=> v90(constB43, bitIndex2))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22929, 22928])).
% 7.82/5.95 tff(22931,plain,
% 7.82/5.95 (((~v88(constB43, bitIndex2)) <=> v90(constB43, bitIndex2)) | (~v88(constB43, bitIndex2)) | v90(constB43, bitIndex2)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22932,plain,
% 7.82/5.95 (~v88(constB43, bitIndex2)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22931, 7380, 22930])).
% 7.82/5.95 tff(22933,plain,
% 7.82/5.95 ((((~v88(constB43, bitIndex1)) <=> v90(constB43, bitIndex1)) | ((~v88(constB43, bitIndex2)) <=> v90(constB43, bitIndex2)) | ((~v88(constB43, bitIndex0)) <=> v90(constB43, bitIndex0))) | (~((~v88(constB43, bitIndex0)) <=> v90(constB43, bitIndex0)))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22934,plain,
% 7.82/5.95 (~((~v88(constB43, bitIndex0)) <=> v90(constB43, bitIndex0))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22933, 22928])).
% 7.82/5.95 tff(22935,plain,
% 7.82/5.95 (((~v88(constB43, bitIndex0)) <=> v90(constB43, bitIndex0)) | v88(constB43, bitIndex0) | (~v90(constB43, bitIndex0))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22936,plain,
% 7.82/5.95 (v88(constB43, bitIndex0)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22935, 7398, 22934])).
% 7.82/5.95 tff(22937,plain,
% 7.82/5.95 ((((~v88(constB43, bitIndex1)) <=> v90(constB43, bitIndex1)) | ((~v88(constB43, bitIndex2)) <=> v90(constB43, bitIndex2)) | ((~v88(constB43, bitIndex0)) <=> v90(constB43, bitIndex0))) | (~((~v88(constB43, bitIndex1)) <=> v90(constB43, bitIndex1)))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22938,plain,
% 7.82/5.95 (~((~v88(constB43, bitIndex1)) <=> v90(constB43, bitIndex1))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22937, 22928])).
% 7.82/5.95 tff(22939,plain,
% 7.82/5.95 (((~v88(constB43, bitIndex1)) <=> v90(constB43, bitIndex1)) | v88(constB43, bitIndex1) | (~v90(constB43, bitIndex1))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22940,plain,
% 7.82/5.95 (v88(constB43, bitIndex1)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22939, 7416, 22938])).
% 7.82/5.95 tff(22941,plain,
% 7.82/5.95 ((~((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))) | (~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22942,plain,
% 7.82/5.95 (~((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22941, 22940, 22936, 22932])).
% 7.82/5.95 tff(22943,plain,
% 7.82/5.95 ((~(v141(constB43) <=> (~((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))))) | v141(constB43) | ((~v88(constB43, bitIndex1)) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22944,plain,
% 7.82/5.95 (v141(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22943, 22942, 22926])).
% 7.82/5.95 tff(22945,plain,
% 7.82/5.95 ((v141(constB43) | v167(constB43)) | (~v141(constB43))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22946,plain,
% 7.82/5.95 (v141(constB43) | v167(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22945, 22944])).
% 7.82/5.95 tff(22947,plain,
% 7.82/5.95 ((~(v166(constB43) <=> (v141(constB43) | v167(constB43)))) | v166(constB43) | (~(v141(constB43) | v167(constB43)))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22948,plain,
% 7.82/5.95 (v166(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22947, 22946, 22919])).
% 7.82/5.95 tff(22949,plain,
% 7.82/5.95 ((v142(constB43) | v166(constB43)) | (~v166(constB43))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22950,plain,
% 7.82/5.95 (v142(constB43) | v166(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22949, 22948])).
% 7.82/5.95 tff(22951,plain,
% 7.82/5.95 ((~(v165(constB43) <=> (v142(constB43) | v166(constB43)))) | v165(constB43) | (~(v142(constB43) | v166(constB43)))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22952,plain,
% 7.82/5.95 ((~(v165(constB43) <=> (v142(constB43) | v166(constB43)))) | v165(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22951, 22950])).
% 7.82/5.95 tff(22953,plain,
% 7.82/5.95 (v165(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22952, 22917])).
% 7.82/5.95 tff(22954,plain,
% 7.82/5.95 ((v145(constB43) | v165(constB43)) | (~v165(constB43))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22955,plain,
% 7.82/5.95 (v145(constB43) | v165(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22954, 22953])).
% 7.82/5.95 tff(22956,plain,
% 7.82/5.95 ((~(v164(constB43) <=> (v145(constB43) | v165(constB43)))) | v164(constB43) | (~(v145(constB43) | v165(constB43)))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22957,plain,
% 7.82/5.95 (v164(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22956, 22955, 22915])).
% 7.82/5.95 tff(22958,plain,
% 7.82/5.95 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB43)) | (v161(constB43) <=> v168(constB43)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB43)) | (v161(constB43) <=> v168(constB43)))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(22959,plain,
% 7.82/5.95 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB43)) | (v161(constB43) <=> v168(constB43)))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(22960,plain,
% 7.82/5.95 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB43)) | (v161(constB43) <=> v168(constB43))),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[22959, 22958])).
% 7.82/5.95 tff(22961,plain,
% 7.82/5.95 ((~v164(constB43)) | (v161(constB43) <=> v168(constB43))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22960, 12128])).
% 7.82/5.95 tff(22962,plain,
% 7.82/5.95 (v161(constB43) <=> v168(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22961, 22957])).
% 7.82/5.95 tff(22963,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB43) <=> (~(v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2))))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(22964,plain,
% 7.82/5.95 (v139(constB43) <=> (~(v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2)))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22963, 12146])).
% 7.82/5.95 tff(22965,plain,
% 7.82/5.95 ((v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2)) | (~v88(constB43, bitIndex0))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22966,plain,
% 7.82/5.95 (v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22965, 22936])).
% 7.82/5.95 tff(22967,plain,
% 7.82/5.95 ((~(v139(constB43) <=> (~(v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2))))) | (~v139(constB43)) | (~(v88(constB43, bitIndex0) | v88(constB43, bitIndex1) | v88(constB43, bitIndex2)))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22968,plain,
% 7.82/5.95 (~v139(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22967, 22966, 22964])).
% 7.82/5.95 tff(22969,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB43) <=> (~(v88(constB43, bitIndex1) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(22970,plain,
% 7.82/5.95 (v140(constB43) <=> (~(v88(constB43, bitIndex1) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0))))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22969, 12165])).
% 7.82/5.95 tff(22971,plain,
% 7.82/5.95 ((v88(constB43, bitIndex1) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0))) | (~v88(constB43, bitIndex1))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22972,plain,
% 7.82/5.95 (v88(constB43, bitIndex1) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22971, 22940])).
% 7.82/5.95 tff(22973,plain,
% 7.82/5.95 ((~(v140(constB43) <=> (~(v88(constB43, bitIndex1) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0)))))) | (~v140(constB43)) | (~(v88(constB43, bitIndex1) | v88(constB43, bitIndex2) | (~v88(constB43, bitIndex0))))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22974,plain,
% 7.82/5.95 (~v140(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22973, 22972, 22970])).
% 7.82/5.95 tff(22975,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB43) | v139(constB43) | (~v168(constB43)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB43) | v139(constB43) | (~v168(constB43)))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(22976,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB43) | v139(constB43) | (~v168(constB43)))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(22977,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB43) | v139(constB43) | (~v168(constB43))),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[22976, 22975])).
% 7.82/5.95 tff(22978,plain,
% 7.82/5.95 (v140(constB43) | v139(constB43) | (~v168(constB43))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22977, 12184])).
% 7.82/5.95 tff(22979,plain,
% 7.82/5.95 (~v168(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22978, 22974, 22968])).
% 7.82/5.95 tff(22980,plain,
% 7.82/5.95 ((~(v161(constB43) <=> v168(constB43))) | (~v161(constB43)) | v168(constB43)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22981,plain,
% 7.82/5.95 ((~(v161(constB43) <=> v168(constB43))) | (~v161(constB43))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22980, 22979])).
% 7.82/5.95 tff(22982,plain,
% 7.82/5.95 (~v161(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22981, 22962])).
% 7.82/5.95 tff(22983,plain,
% 7.82/5.95 ((~(v159(constB43) <=> v161(constB43))) | (~v159(constB43)) | v161(constB43)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22984,plain,
% 7.82/5.95 ((~(v159(constB43) <=> v161(constB43))) | (~v159(constB43))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22983, 22982])).
% 7.82/5.95 tff(22985,plain,
% 7.82/5.95 (~v159(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22984, 22913])).
% 7.82/5.95 tff(22986,plain,
% 7.82/5.95 (((~v184(constB43)) | (~v159(constB43))) | v159(constB43)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22987,plain,
% 7.82/5.95 ((~v184(constB43)) | (~v159(constB43))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22986, 22985])).
% 7.82/5.95 tff(22988,plain,
% 7.82/5.95 ((~(v187(constB43) <=> (~((~v184(constB43)) | (~v159(constB43)))))) | (~v187(constB43)) | (~((~v184(constB43)) | (~v159(constB43))))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22989,plain,
% 7.82/5.95 (~v187(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22988, 22987, 22911])).
% 7.82/5.95 tff(22990,plain,
% 7.82/5.95 (((~v186(constB43)) | (~v187(constB43))) | v187(constB43)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22991,plain,
% 7.82/5.95 ((~v186(constB43)) | (~v187(constB43))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22990, 22989])).
% 7.82/5.95 tff(22992,plain,
% 7.82/5.95 ((~(v185(constB43) <=> (~((~v186(constB43)) | (~v187(constB43)))))) | (~v185(constB43)) | (~((~v186(constB43)) | (~v187(constB43))))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22993,plain,
% 7.82/5.95 (~v185(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22992, 22991, 22909])).
% 7.82/5.95 tff(22994,plain,
% 7.82/5.95 ((~(v181(constB43) | v185(constB43))) | v181(constB43) | v185(constB43)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22995,plain,
% 7.82/5.95 (~(v181(constB43) | v185(constB43))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22994, 22993, 22907])).
% 7.82/5.95 tff(22996,plain,
% 7.82/5.95 ((~(v178(constB43) <=> (v181(constB43) | v185(constB43)))) | (~v178(constB43)) | (v181(constB43) | v185(constB43))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22997,plain,
% 7.82/5.95 (~v178(constB43)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22996, 22995, 22834])).
% 7.82/5.95 tff(22998,plain,
% 7.82/5.95 ((~(v180(constB44) <=> v178(constB43))) | (~v180(constB44)) | v178(constB43)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(22999,plain,
% 7.82/5.95 (~v180(constB44)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[22998, 22997, 22832])).
% 7.82/5.95 tff(23000,plain,
% 7.82/5.95 ((~(v157(constB44) <=> v180(constB44))) | (~v157(constB44)) | v180(constB44)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23001,plain,
% 7.82/5.95 (~v157(constB44)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23000, 22999, 22828])).
% 7.82/5.95 tff(23002,plain,
% 7.82/5.95 (((~v157(constB44)) | (~v182(constB44))) | v157(constB44)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23003,plain,
% 7.82/5.95 ((~v157(constB44)) | (~v182(constB44))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23002, 23001])).
% 7.82/5.95 tff(23004,plain,
% 7.82/5.95 ((~(v181(constB44) <=> (~((~v157(constB44)) | (~v182(constB44)))))) | (~v181(constB44)) | (~((~v157(constB44)) | (~v182(constB44))))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23005,plain,
% 7.82/5.95 (~v181(constB44)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23004, 23003, 22826])).
% 7.82/5.95 tff(23006,plain,
% 7.82/5.95 ((~(v181(constB44) | v185(constB44))) | v181(constB44) | v185(constB44)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23007,plain,
% 7.82/5.95 (~(v181(constB44) | v185(constB44))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23006, 23005, 22819])).
% 7.82/5.95 tff(23008,plain,
% 7.82/5.95 ((~(v178(constB44) <=> (v181(constB44) | v185(constB44)))) | (~v178(constB44)) | (v181(constB44) | v185(constB44))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23009,plain,
% 7.82/5.95 (~v178(constB44)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23008, 23007, 22794])).
% 7.82/5.95 tff(23010,plain,
% 7.82/5.95 ((~(v180(constB45) <=> v178(constB44))) | (~v180(constB45)) | v178(constB44)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23011,plain,
% 7.82/5.95 (~v180(constB45)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23010, 23009, 22792])).
% 7.82/5.95 tff(23012,plain,
% 7.82/5.95 ($false),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23011, 22788])).
% 7.82/5.95 tff(23013,plain,(~(constB45 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.82/5.95 tff(23014,assumption,(constB1 = VarCurr!0), introduced(assumption)).
% 7.82/5.95 tff(23015,plain,
% 7.82/5.95 (v180(constB1) <=> v180(VarCurr!0)),
% 7.82/5.95 inference(monotonicity,[status(thm)],[23014])).
% 7.82/5.95 tff(23016,plain,
% 7.82/5.95 (v180(VarCurr!0) <=> v180(constB1)),
% 7.82/5.95 inference(symmetry,[status(thm)],[23015])).
% 7.82/5.95 tff(23017,plain,
% 7.82/5.95 (v180(constB1)),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[59, 23016])).
% 7.82/5.95 tff(23018,plain,
% 7.82/5.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> v178(constB0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB0, constB1)) | (v180(constB1) <=> v178(constB0)))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23019,plain,
% 7.82/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB0, constB1)) | (v180(constB1) <=> v178(constB0)))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23020,plain,
% 7.82/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB0, constB1)) | (v180(constB1) <=> v178(constB0))),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[23019, 23018])).
% 7.82/5.95 tff(23021,plain,
% 7.82/5.95 (v180(constB1) <=> v178(constB0)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23020, 3859, 70])).
% 7.82/5.95 tff(23022,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB0) <=> (v181(constB0) | v185(constB0)))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23023,plain,
% 7.82/5.95 (v178(constB0) <=> (v181(constB0) | v185(constB0))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23022, 84])).
% 7.82/5.95 tff(23024,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0)))))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23025,plain,
% 7.82/5.95 (v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0))))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23024, 96])).
% 7.82/5.95 tff(23026,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0)))))) <=> ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0))))))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23027,plain,
% 7.82/5.95 ((v187(constB0) <=> (~((~v184(constB0)) | (~v159(constB0))))) <=> (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0)))))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23028,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v184(constB0)) | (~v159(constB0)))))) <=> ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0))))))),
% 7.82/5.95 inference(monotonicity,[status(thm)],[23027])).
% 7.82/5.95 tff(23029,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v184(constB0)) | (~v159(constB0)))))) <=> ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0))))))),
% 7.82/5.95 inference(transitivity,[status(thm)],[23028, 23026])).
% 7.82/5.95 tff(23030,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v184(constB0)) | (~v159(constB0)))))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23031,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0)))))),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[23030, 23029])).
% 7.82/5.95 tff(23032,plain,
% 7.82/5.95 (v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0))))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23031, 108])).
% 7.82/5.95 tff(23033,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB0) <=> v161(constB0))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23034,plain,
% 7.82/5.95 (v159(constB0) <=> v161(constB0)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23033, 345])).
% 7.82/5.95 tff(23035,plain,
% 7.82/5.95 ((~v161(constB0)) <=> (~v161(constB0))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23036,axiom,(~v161(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_6')).
% 7.82/5.95 tff(23037,plain,
% 7.82/5.95 (~v161(constB0)),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[23036, 23035])).
% 7.82/5.95 tff(23038,plain,
% 7.82/5.95 ((~(v159(constB0) <=> v161(constB0))) | (~v159(constB0)) | v161(constB0)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23039,plain,
% 7.82/5.95 ((~(v159(constB0) <=> v161(constB0))) | (~v159(constB0))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23038, 23037])).
% 7.82/5.95 tff(23040,plain,
% 7.82/5.95 (~v159(constB0)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23039, 23034])).
% 7.82/5.95 tff(23041,plain,
% 7.82/5.95 (((~v159(constB0)) | (~v184(constB0))) | v159(constB0)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23042,plain,
% 7.82/5.95 ((~v159(constB0)) | (~v184(constB0))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23041, 23040])).
% 7.82/5.95 tff(23043,plain,
% 7.82/5.95 ((~(v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0)))))) | (~v187(constB0)) | (~((~v159(constB0)) | (~v184(constB0))))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23044,plain,
% 7.82/5.95 ((~(v187(constB0) <=> (~((~v159(constB0)) | (~v184(constB0)))))) | (~v187(constB0))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23043, 23042])).
% 7.82/5.95 tff(23045,plain,
% 7.82/5.95 (~v187(constB0)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23044, 23032])).
% 7.82/5.95 tff(23046,plain,
% 7.82/5.95 (((~v186(constB0)) | (~v187(constB0))) | v187(constB0)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23047,plain,
% 7.82/5.95 ((~v186(constB0)) | (~v187(constB0))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23046, 23045])).
% 7.82/5.95 tff(23048,plain,
% 7.82/5.95 ((~(v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0)))))) | (~v185(constB0)) | (~((~v186(constB0)) | (~v187(constB0))))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23049,plain,
% 7.82/5.95 ((~(v185(constB0) <=> (~((~v186(constB0)) | (~v187(constB0)))))) | (~v185(constB0))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23048, 23047])).
% 7.82/5.95 tff(23050,plain,
% 7.82/5.95 (~v185(constB0)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23049, 23025])).
% 7.82/5.95 tff(23051,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0))))))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23052,plain,
% 7.82/5.95 ((v181(constB0) <=> (~((~v182(constB0)) | (~v157(constB0))))) <=> (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0)))))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23053,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v182(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0))))))),
% 7.82/5.95 inference(monotonicity,[status(thm)],[23052])).
% 7.82/5.95 tff(23054,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v182(constB0)) | (~v157(constB0)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0))))))),
% 7.82/5.95 inference(transitivity,[status(thm)],[23053, 23051])).
% 7.82/5.95 tff(23055,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v182(constB0)) | (~v157(constB0)))))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23056,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0)))))),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[23055, 23054])).
% 7.82/5.95 tff(23057,plain,
% 7.82/5.95 (v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0))))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23056, 161])).
% 7.82/5.95 tff(23058,plain,
% 7.82/5.95 ((~v157(constB0)) <=> (~v157(constB0))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23059,axiom,(~v157(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_7')).
% 7.82/5.95 tff(23060,plain,
% 7.82/5.95 (~v157(constB0)),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[23059, 23058])).
% 7.82/5.95 tff(23061,plain,
% 7.82/5.95 (((~v157(constB0)) | (~v182(constB0))) | v157(constB0)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23062,plain,
% 7.82/5.95 ((~v157(constB0)) | (~v182(constB0))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23061, 23060])).
% 7.82/5.95 tff(23063,plain,
% 7.82/5.95 ((~(v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0)))))) | (~v181(constB0)) | (~((~v157(constB0)) | (~v182(constB0))))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23064,plain,
% 7.82/5.95 ((~(v181(constB0) <=> (~((~v157(constB0)) | (~v182(constB0)))))) | (~v181(constB0))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23063, 23062])).
% 7.82/5.95 tff(23065,plain,
% 7.82/5.95 (~v181(constB0)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23064, 23057])).
% 7.82/5.95 tff(23066,plain,
% 7.82/5.95 ((~(v181(constB0) | v185(constB0))) | v181(constB0) | v185(constB0)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23067,plain,
% 7.82/5.95 ((~(v181(constB0) | v185(constB0))) | v185(constB0)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23066, 23065])).
% 7.82/5.95 tff(23068,plain,
% 7.82/5.95 (~(v181(constB0) | v185(constB0))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23067, 23050])).
% 7.82/5.95 tff(23069,plain,
% 7.82/5.95 ((~(v178(constB0) <=> (v181(constB0) | v185(constB0)))) | (~v178(constB0)) | (v181(constB0) | v185(constB0))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23070,plain,
% 7.82/5.95 (~v178(constB0)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23069, 23068, 23023])).
% 7.82/5.95 tff(23071,plain,
% 7.82/5.95 ((~(v180(constB1) <=> v178(constB0))) | (~v180(constB1)) | v178(constB0)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23072,plain,
% 7.82/5.95 (~v180(constB1)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23071, 23070, 23021])).
% 7.82/5.95 tff(23073,plain,
% 7.82/5.95 ($false),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23072, 23017])).
% 7.82/5.95 tff(23074,plain,(~(constB1 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.82/5.95 tff(23075,assumption,(constB129 = VarCurr!0), introduced(assumption)).
% 7.82/5.95 tff(23076,plain,
% 7.82/5.95 (v180(constB129) <=> v180(VarCurr!0)),
% 7.82/5.95 inference(monotonicity,[status(thm)],[23075])).
% 7.82/5.95 tff(23077,plain,
% 7.82/5.95 (v180(VarCurr!0) <=> v180(constB129)),
% 7.82/5.95 inference(symmetry,[status(thm)],[23076])).
% 7.82/5.95 tff(23078,plain,
% 7.82/5.95 (v180(constB129)),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[59, 23077])).
% 7.82/5.95 tff(23079,plain,
% 7.82/5.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB128, constB129)) | (v180(constB129) <=> v178(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB128, constB129)) | (v180(constB129) <=> v178(constB128)))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23080,plain,
% 7.82/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB128, constB129)) | (v180(constB129) <=> v178(constB128)))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23081,plain,
% 7.82/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB128, constB129)) | (v180(constB129) <=> v178(constB128))),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[23080, 23079])).
% 7.82/5.95 tff(23082,plain,
% 7.82/5.95 (v180(constB129) <=> v178(constB128)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23081, 14245, 70])).
% 7.82/5.95 tff(23083,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB128) <=> (v181(constB128) | v185(constB128)))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23084,plain,
% 7.82/5.95 (v178(constB128) <=> (v181(constB128) | v185(constB128))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23083, 84])).
% 7.82/5.95 tff(23085,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB128) <=> (~((~v186(constB128)) | (~v187(constB128)))))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23086,plain,
% 7.82/5.95 (v185(constB128) <=> (~((~v186(constB128)) | (~v187(constB128))))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23085, 96])).
% 7.82/5.95 tff(23087,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB128) <=> (~((~v184(constB128)) | (~v159(constB128)))))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23088,plain,
% 7.82/5.95 (v187(constB128) <=> (~((~v184(constB128)) | (~v159(constB128))))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23087, 108])).
% 7.82/5.95 tff(23089,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23090,plain,
% 7.82/5.95 (v184(constB128) <=> (~((~v39(constB128)) | (~v9(constB128))))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23089, 120])).
% 7.82/5.95 tff(23091,plain,
% 7.82/5.95 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB128)) <=> v1(constB128))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23092,plain,
% 7.82/5.95 ((~v39(constB128)) <=> v1(constB128)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23091, 129])).
% 7.82/5.95 tff(23093,plain,
% 7.82/5.95 ((~((~v39(constB128)) <=> v1(constB128))) | (~v39(constB128)) | (~v1(constB128))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23094,plain,
% 7.82/5.95 ((~((~v39(constB128)) <=> v1(constB128))) | (~v39(constB128))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23093, 16983])).
% 7.82/5.95 tff(23095,plain,
% 7.82/5.95 (~v39(constB128)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23094, 23092])).
% 7.82/5.95 tff(23096,plain,
% 7.82/5.95 (((~v39(constB128)) | (~v9(constB128))) | v39(constB128)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23097,plain,
% 7.82/5.95 ((~v39(constB128)) | (~v9(constB128))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23096, 23095])).
% 7.82/5.95 tff(23098,plain,
% 7.82/5.95 ((~(v184(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))) | (~v184(constB128)) | (~((~v39(constB128)) | (~v9(constB128))))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23099,plain,
% 7.82/5.95 ((~(v184(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))) | (~v184(constB128))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23098, 23097])).
% 7.82/5.95 tff(23100,plain,
% 7.82/5.95 (~v184(constB128)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23099, 23090])).
% 7.82/5.95 tff(23101,plain,
% 7.82/5.95 (((~v184(constB128)) | (~v159(constB128))) | v184(constB128)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23102,plain,
% 7.82/5.95 ((~v184(constB128)) | (~v159(constB128))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23101, 23100])).
% 7.82/5.95 tff(23103,plain,
% 7.82/5.95 ((~(v187(constB128) <=> (~((~v184(constB128)) | (~v159(constB128)))))) | (~v187(constB128)) | (~((~v184(constB128)) | (~v159(constB128))))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23104,plain,
% 7.82/5.95 ((~(v187(constB128) <=> (~((~v184(constB128)) | (~v159(constB128)))))) | (~v187(constB128))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23103, 23102])).
% 7.82/5.95 tff(23105,plain,
% 7.82/5.95 (~v187(constB128)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23104, 23088])).
% 7.82/5.95 tff(23106,plain,
% 7.82/5.95 (((~v186(constB128)) | (~v187(constB128))) | v187(constB128)),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23107,plain,
% 7.82/5.95 ((~v186(constB128)) | (~v187(constB128))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23106, 23105])).
% 7.82/5.95 tff(23108,plain,
% 7.82/5.95 ((~(v185(constB128) <=> (~((~v186(constB128)) | (~v187(constB128)))))) | (~v185(constB128)) | (~((~v186(constB128)) | (~v187(constB128))))),
% 7.82/5.95 inference(tautology,[status(thm)],[])).
% 7.82/5.95 tff(23109,plain,
% 7.82/5.95 (~v185(constB128)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23108, 23107, 23086])).
% 7.82/5.95 tff(23110,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB128) <=> (~((~v157(constB128)) | (~v182(constB128)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB128) <=> (~((~v157(constB128)) | (~v182(constB128))))))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23111,plain,
% 7.82/5.95 ((v181(constB128) <=> (~((~v182(constB128)) | (~v157(constB128))))) <=> (v181(constB128) <=> (~((~v157(constB128)) | (~v182(constB128)))))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23112,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB128) <=> (~((~v182(constB128)) | (~v157(constB128)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB128) <=> (~((~v157(constB128)) | (~v182(constB128))))))),
% 7.82/5.95 inference(monotonicity,[status(thm)],[23111])).
% 7.82/5.95 tff(23113,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB128) <=> (~((~v182(constB128)) | (~v157(constB128)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB128) <=> (~((~v157(constB128)) | (~v182(constB128))))))),
% 7.82/5.95 inference(transitivity,[status(thm)],[23112, 23110])).
% 7.82/5.95 tff(23114,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB128) <=> (~((~v182(constB128)) | (~v157(constB128)))))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23115,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB128) <=> (~((~v157(constB128)) | (~v182(constB128)))))),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[23114, 23113])).
% 7.82/5.95 tff(23116,plain,
% 7.82/5.95 (v181(constB128) <=> (~((~v157(constB128)) | (~v182(constB128))))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23115, 161])).
% 7.82/5.95 tff(23117,plain,
% 7.82/5.95 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB128) <=> v180(constB128))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23118,plain,
% 7.82/5.95 (v157(constB128) <=> v180(constB128)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23117, 13])).
% 7.82/5.95 tff(23119,plain,
% 7.82/5.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB127, constB128)) | (v180(constB128) <=> v178(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB127, constB128)) | (v180(constB128) <=> v178(constB127)))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23120,plain,
% 7.82/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB127, constB128)) | (v180(constB128) <=> v178(constB127)))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23121,plain,
% 7.82/5.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB127, constB128)) | (v180(constB128) <=> v178(constB127))),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[23120, 23119])).
% 7.82/5.95 tff(23122,plain,
% 7.82/5.95 (v180(constB128) <=> v178(constB127)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23121, 14281, 70])).
% 7.82/5.95 tff(23123,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB127) <=> (v181(constB127) | v185(constB127)))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23124,plain,
% 7.82/5.95 (v178(constB127) <=> (v181(constB127) | v185(constB127))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23123, 84])).
% 7.82/5.95 tff(23125,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB127) <=> (~((~v157(constB127)) | (~v182(constB127)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB127) <=> (~((~v157(constB127)) | (~v182(constB127))))))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23126,plain,
% 7.82/5.95 ((v181(constB127) <=> (~((~v182(constB127)) | (~v157(constB127))))) <=> (v181(constB127) <=> (~((~v157(constB127)) | (~v182(constB127)))))),
% 7.82/5.95 inference(rewrite,[status(thm)],[])).
% 7.82/5.95 tff(23127,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB127) <=> (~((~v182(constB127)) | (~v157(constB127)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB127) <=> (~((~v157(constB127)) | (~v182(constB127))))))),
% 7.82/5.95 inference(monotonicity,[status(thm)],[23126])).
% 7.82/5.95 tff(23128,plain,
% 7.82/5.95 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB127) <=> (~((~v182(constB127)) | (~v157(constB127)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB127) <=> (~((~v157(constB127)) | (~v182(constB127))))))),
% 7.82/5.95 inference(transitivity,[status(thm)],[23127, 23125])).
% 7.82/5.95 tff(23129,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB127) <=> (~((~v182(constB127)) | (~v157(constB127)))))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23130,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB127) <=> (~((~v157(constB127)) | (~v182(constB127)))))),
% 7.82/5.95 inference(modus_ponens,[status(thm)],[23129, 23128])).
% 7.82/5.95 tff(23131,plain,
% 7.82/5.95 (v181(constB127) <=> (~((~v157(constB127)) | (~v182(constB127))))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23130, 161])).
% 7.82/5.95 tff(23132,plain,
% 7.82/5.95 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB127)) <=> v183(constB127))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23133,plain,
% 7.82/5.95 ((~v182(constB127)) <=> v183(constB127)),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23132, 193])).
% 7.82/5.95 tff(23134,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB127) <=> (v184(constB127) | v26(constB127)))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23135,plain,
% 7.82/5.95 (v183(constB127) <=> (v184(constB127) | v26(constB127))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23134, 202])).
% 7.82/5.95 tff(23136,plain,
% 7.82/5.95 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB127) <=> (~((~v39(constB127)) | (~v9(constB127)))))),
% 7.82/5.95 inference(quant_inst,[status(thm)],[])).
% 7.82/5.95 tff(23137,plain,
% 7.82/5.95 (v184(constB127) <=> (~((~v39(constB127)) | (~v9(constB127))))),
% 7.82/5.95 inference(unit_resolution,[status(thm)],[23136, 120])).
% 7.82/5.95 tff(23138,plain,
% 7.82/5.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127)))),
% 7.82/5.96 inference(rewrite,[status(thm)],[])).
% 7.82/5.96 tff(23139,plain,
% 7.82/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127)))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23140,plain,
% 7.82/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127))),
% 7.82/5.96 inference(modus_ponens,[status(thm)],[23139, 23138])).
% 7.82/5.96 tff(23141,plain,
% 7.82/5.96 (v13(constB128) <=> v9(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23140, 14281, 216])).
% 7.82/5.96 tff(23142,plain,
% 7.82/5.96 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB128) <=> v13(constB128))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23143,plain,
% 7.82/5.96 (v6(constB128) <=> v13(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23142, 230])).
% 7.82/5.96 tff(23144,plain,
% 7.82/5.96 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB128)) <=> v6(constB128))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23145,plain,
% 7.82/5.96 ((~v21(constB128)) <=> v6(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23144, 239])).
% 7.82/5.96 tff(23146,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB128) <=> (v20(constB128) | v21(constB128)))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23147,plain,
% 7.82/5.96 (v19(constB128) <=> (v20(constB128) | v21(constB128))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23146, 248])).
% 7.82/5.96 tff(23148,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB128) <=> (~((~v19(constB128)) | (~v22(constB128)))))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23149,plain,
% 7.82/5.96 (v18(constB128) <=> (~((~v19(constB128)) | (~v22(constB128))))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23148, 260])).
% 7.82/5.96 tff(23150,plain,
% 7.82/5.96 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB128)) <=> v18(constB128))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23151,plain,
% 7.82/5.96 ((~v4(constB128)) <=> v18(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23150, 269])).
% 7.82/5.96 tff(23152,plain,
% 7.82/5.96 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB128)),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23153,plain,
% 7.82/5.96 (v4(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23152, 278])).
% 7.82/5.96 tff(23154,plain,
% 7.82/5.96 ((~((~v4(constB128)) <=> v18(constB128))) | (~v4(constB128)) | (~v18(constB128))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23155,plain,
% 7.82/5.96 (~v18(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23154, 23153, 23151])).
% 7.82/5.96 tff(23156,plain,
% 7.82/5.96 ((~(v18(constB128) <=> (~((~v19(constB128)) | (~v22(constB128)))))) | v18(constB128) | ((~v19(constB128)) | (~v22(constB128)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23157,plain,
% 7.82/5.96 ((~v19(constB128)) | (~v22(constB128))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23156, 23155, 23149])).
% 7.82/5.96 tff(23158,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB128) <=> (v1(constB128) | v6(constB128)))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23159,plain,
% 7.82/5.96 (v22(constB128) <=> (v1(constB128) | v6(constB128))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23158, 291])).
% 7.82/5.96 tff(23160,plain,
% 7.82/5.96 ((v1(constB128) | v6(constB128)) | (~v1(constB128))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23161,plain,
% 7.82/5.96 (v1(constB128) | v6(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23160, 16983])).
% 7.82/5.96 tff(23162,plain,
% 7.82/5.96 ((~(v22(constB128) <=> (v1(constB128) | v6(constB128)))) | v22(constB128) | (~(v1(constB128) | v6(constB128)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23163,plain,
% 7.82/5.96 ((~(v22(constB128) <=> (v1(constB128) | v6(constB128)))) | v22(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23162, 23161])).
% 7.82/5.96 tff(23164,plain,
% 7.82/5.96 (v22(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23163, 23159])).
% 7.82/5.96 tff(23165,plain,
% 7.82/5.96 ((~((~v19(constB128)) | (~v22(constB128)))) | (~v19(constB128)) | (~v22(constB128))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23166,plain,
% 7.82/5.96 ((~((~v19(constB128)) | (~v22(constB128)))) | (~v19(constB128))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23165, 23164])).
% 7.82/5.96 tff(23167,plain,
% 7.82/5.96 (~v19(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23166, 23157])).
% 7.82/5.96 tff(23168,plain,
% 7.82/5.96 ((~(v19(constB128) <=> (v20(constB128) | v21(constB128)))) | v19(constB128) | (~(v20(constB128) | v21(constB128)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23169,plain,
% 7.82/5.96 (~(v20(constB128) | v21(constB128))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23168, 23167, 23147])).
% 7.82/5.96 tff(23170,plain,
% 7.82/5.96 ((v20(constB128) | v21(constB128)) | (~v21(constB128))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23171,plain,
% 7.82/5.96 (~v21(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23170, 23169])).
% 7.82/5.96 tff(23172,plain,
% 7.82/5.96 ((~((~v21(constB128)) <=> v6(constB128))) | v21(constB128) | v6(constB128)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23173,plain,
% 7.82/5.96 (v6(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23172, 23171, 23145])).
% 7.82/5.96 tff(23174,plain,
% 7.82/5.96 ((~(v6(constB128) <=> v13(constB128))) | (~v6(constB128)) | v13(constB128)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23175,plain,
% 7.82/5.96 (v13(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23174, 23173, 23143])).
% 7.82/5.96 tff(23176,plain,
% 7.82/5.96 ((~(v13(constB128) <=> v9(constB127))) | (~v13(constB128)) | v9(constB127)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23177,plain,
% 7.82/5.96 (v9(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23176, 23175, 23141])).
% 7.82/5.96 tff(23178,plain,
% 7.82/5.96 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB127)) <=> v1(constB127))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23179,plain,
% 7.82/5.96 ((~v39(constB127)) <=> v1(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23178, 129])).
% 7.82/5.96 tff(23180,plain,
% 7.82/5.96 ((~((~v39(constB127)) <=> v1(constB127))) | v39(constB127) | v1(constB127)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23181,plain,
% 7.82/5.96 ((~((~v39(constB127)) <=> v1(constB127))) | v39(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23180, 14325])).
% 7.82/5.96 tff(23182,plain,
% 7.82/5.96 (v39(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23181, 23179])).
% 7.82/5.96 tff(23183,plain,
% 7.82/5.96 ((~((~v39(constB127)) | (~v9(constB127)))) | (~v39(constB127)) | (~v9(constB127))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23184,plain,
% 7.82/5.96 ((~((~v39(constB127)) | (~v9(constB127)))) | (~v9(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23183, 23182])).
% 7.82/5.96 tff(23185,plain,
% 7.82/5.96 (~((~v39(constB127)) | (~v9(constB127)))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23184, 23177])).
% 7.82/5.96 tff(23186,plain,
% 7.82/5.96 ((~(v184(constB127) <=> (~((~v39(constB127)) | (~v9(constB127)))))) | v184(constB127) | ((~v39(constB127)) | (~v9(constB127)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23187,plain,
% 7.82/5.96 (v184(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23186, 23185, 23137])).
% 7.82/5.96 tff(23188,plain,
% 7.82/5.96 ((v184(constB127) | v26(constB127)) | (~v184(constB127))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23189,plain,
% 7.82/5.96 (v184(constB127) | v26(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23188, 23187])).
% 7.82/5.96 tff(23190,plain,
% 7.82/5.96 ((~(v183(constB127) <=> (v184(constB127) | v26(constB127)))) | v183(constB127) | (~(v184(constB127) | v26(constB127)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23191,plain,
% 7.82/5.96 (v183(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23190, 23189, 23135])).
% 7.82/5.96 tff(23192,plain,
% 7.82/5.96 ((~((~v182(constB127)) <=> v183(constB127))) | (~v182(constB127)) | (~v183(constB127))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23193,plain,
% 7.82/5.96 (~v182(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23192, 23191, 23133])).
% 7.82/5.96 tff(23194,plain,
% 7.82/5.96 (((~v157(constB127)) | (~v182(constB127))) | v182(constB127)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23195,plain,
% 7.82/5.96 ((~v157(constB127)) | (~v182(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23194, 23193])).
% 7.82/5.96 tff(23196,plain,
% 7.82/5.96 ((~(v181(constB127) <=> (~((~v157(constB127)) | (~v182(constB127)))))) | (~v181(constB127)) | (~((~v157(constB127)) | (~v182(constB127))))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23197,plain,
% 7.82/5.96 (~v181(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23196, 23195, 23131])).
% 7.82/5.96 tff(23198,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB127) <=> (~((~v186(constB127)) | (~v187(constB127)))))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23199,plain,
% 7.82/5.96 (v185(constB127) <=> (~((~v186(constB127)) | (~v187(constB127))))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23198, 96])).
% 7.82/5.96 tff(23200,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB127) <=> (~((~v184(constB127)) | (~v159(constB127)))))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23201,plain,
% 7.82/5.96 (v187(constB127) <=> (~((~v184(constB127)) | (~v159(constB127))))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23200, 108])).
% 7.82/5.96 tff(23202,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB127) <=> v161(constB127))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23203,plain,
% 7.82/5.96 (v159(constB127) <=> v161(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23202, 345])).
% 7.82/5.96 tff(23204,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB127) <=> (v145(constB127) | v165(constB127)))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23205,plain,
% 7.82/5.96 (v164(constB127) <=> (v145(constB127) | v165(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23204, 357])).
% 7.82/5.96 tff(23206,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB127) <=> (v142(constB127) | v166(constB127)))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23207,plain,
% 7.82/5.96 (v165(constB127) <=> (v142(constB127) | v166(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23206, 369])).
% 7.82/5.96 tff(23208,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB127) <=> (v141(constB127) | v167(constB127)))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23209,plain,
% 7.82/5.96 (v166(constB127) <=> (v141(constB127) | v167(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23208, 381])).
% 7.82/5.96 tff(23210,plain,
% 7.82/5.96 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB127) <=> (~((~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB127) <=> (~((~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0))))))),
% 7.82/5.96 inference(rewrite,[status(thm)],[])).
% 7.82/5.96 tff(23211,plain,
% 7.82/5.96 ((v141(constB127) <=> (~(v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0))))) <=> (v141(constB127) <=> (~((~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0)))))),
% 7.82/5.96 inference(rewrite,[status(thm)],[])).
% 7.82/5.96 tff(23212,plain,
% 7.82/5.96 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB127) <=> (~(v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB127) <=> (~((~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0))))))),
% 7.82/5.96 inference(monotonicity,[status(thm)],[23211])).
% 7.82/5.96 tff(23213,plain,
% 7.82/5.96 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB127) <=> (~(v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB127) <=> (~((~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0))))))),
% 7.82/5.96 inference(transitivity,[status(thm)],[23212, 23210])).
% 7.82/5.96 tff(23214,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB127) <=> (~(v88(constB127, bitIndex2) | (~v88(constB127, bitIndex1)) | (~v88(constB127, bitIndex0)))))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23215,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB127) <=> (~((~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0)))))),
% 7.82/5.96 inference(modus_ponens,[status(thm)],[23214, 23213])).
% 7.82/5.96 tff(23216,plain,
% 7.82/5.96 (v141(constB127) <=> (~((~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0))))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23215, 396])).
% 7.82/5.96 tff(23217,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB127, bitIndex1)) <=> v90(constB127, bitIndex1)) | ((~v88(constB127, bitIndex2)) <=> v90(constB127, bitIndex2)) | ((~v88(constB127, bitIndex0)) <=> v90(constB127, bitIndex0))))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23218,plain,
% 7.82/5.96 (~(((~v88(constB127, bitIndex1)) <=> v90(constB127, bitIndex1)) | ((~v88(constB127, bitIndex2)) <=> v90(constB127, bitIndex2)) | ((~v88(constB127, bitIndex0)) <=> v90(constB127, bitIndex0)))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23217, 416])).
% 7.82/5.96 tff(23219,plain,
% 7.82/5.96 ((((~v88(constB127, bitIndex1)) <=> v90(constB127, bitIndex1)) | ((~v88(constB127, bitIndex2)) <=> v90(constB127, bitIndex2)) | ((~v88(constB127, bitIndex0)) <=> v90(constB127, bitIndex0))) | (~((~v88(constB127, bitIndex2)) <=> v90(constB127, bitIndex2)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23220,plain,
% 7.82/5.96 (~((~v88(constB127, bitIndex2)) <=> v90(constB127, bitIndex2))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23219, 23218])).
% 7.82/5.96 tff(23221,plain,
% 7.82/5.96 (((~v88(constB127, bitIndex2)) <=> v90(constB127, bitIndex2)) | (~v88(constB127, bitIndex2)) | v90(constB127, bitIndex2)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23222,plain,
% 7.82/5.96 (~v88(constB127, bitIndex2)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23221, 16905, 23220])).
% 7.82/5.96 tff(23223,plain,
% 7.82/5.96 ((((~v88(constB127, bitIndex1)) <=> v90(constB127, bitIndex1)) | ((~v88(constB127, bitIndex2)) <=> v90(constB127, bitIndex2)) | ((~v88(constB127, bitIndex0)) <=> v90(constB127, bitIndex0))) | (~((~v88(constB127, bitIndex0)) <=> v90(constB127, bitIndex0)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23224,plain,
% 7.82/5.96 (~((~v88(constB127, bitIndex0)) <=> v90(constB127, bitIndex0))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23223, 23218])).
% 7.82/5.96 tff(23225,plain,
% 7.82/5.96 (((~v88(constB127, bitIndex0)) <=> v90(constB127, bitIndex0)) | v88(constB127, bitIndex0) | (~v90(constB127, bitIndex0))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23226,plain,
% 7.82/5.96 (v88(constB127, bitIndex0)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23225, 16923, 23224])).
% 7.82/5.96 tff(23227,plain,
% 7.82/5.96 ((((~v88(constB127, bitIndex1)) <=> v90(constB127, bitIndex1)) | ((~v88(constB127, bitIndex2)) <=> v90(constB127, bitIndex2)) | ((~v88(constB127, bitIndex0)) <=> v90(constB127, bitIndex0))) | (~((~v88(constB127, bitIndex1)) <=> v90(constB127, bitIndex1)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23228,plain,
% 7.82/5.96 (~((~v88(constB127, bitIndex1)) <=> v90(constB127, bitIndex1))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23227, 23218])).
% 7.82/5.96 tff(23229,plain,
% 7.82/5.96 (((~v88(constB127, bitIndex1)) <=> v90(constB127, bitIndex1)) | v88(constB127, bitIndex1) | (~v90(constB127, bitIndex1))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23230,plain,
% 7.82/5.96 (v88(constB127, bitIndex1)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23229, 16941, 23228])).
% 7.82/5.96 tff(23231,plain,
% 7.82/5.96 ((~((~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0)))) | (~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23232,plain,
% 7.82/5.96 (~((~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0)))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23231, 23230, 23226, 23222])).
% 7.82/5.96 tff(23233,plain,
% 7.82/5.96 ((~(v141(constB127) <=> (~((~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0)))))) | v141(constB127) | ((~v88(constB127, bitIndex1)) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23234,plain,
% 7.82/5.96 (v141(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23233, 23232, 23216])).
% 7.82/5.96 tff(23235,plain,
% 7.82/5.96 ((v141(constB127) | v167(constB127)) | (~v141(constB127))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23236,plain,
% 7.82/5.96 (v141(constB127) | v167(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23235, 23234])).
% 7.82/5.96 tff(23237,plain,
% 7.82/5.96 ((~(v166(constB127) <=> (v141(constB127) | v167(constB127)))) | v166(constB127) | (~(v141(constB127) | v167(constB127)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23238,plain,
% 7.82/5.96 (v166(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23237, 23236, 23209])).
% 7.82/5.96 tff(23239,plain,
% 7.82/5.96 ((v142(constB127) | v166(constB127)) | (~v166(constB127))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23240,plain,
% 7.82/5.96 (v142(constB127) | v166(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23239, 23238])).
% 7.82/5.96 tff(23241,plain,
% 7.82/5.96 ((~(v165(constB127) <=> (v142(constB127) | v166(constB127)))) | v165(constB127) | (~(v142(constB127) | v166(constB127)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23242,plain,
% 7.82/5.96 ((~(v165(constB127) <=> (v142(constB127) | v166(constB127)))) | v165(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23241, 23240])).
% 7.82/5.96 tff(23243,plain,
% 7.82/5.96 (v165(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23242, 23207])).
% 7.82/5.96 tff(23244,plain,
% 7.82/5.96 ((v145(constB127) | v165(constB127)) | (~v165(constB127))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23245,plain,
% 7.82/5.96 (v145(constB127) | v165(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23244, 23243])).
% 7.82/5.96 tff(23246,plain,
% 7.82/5.96 ((~(v164(constB127) <=> (v145(constB127) | v165(constB127)))) | v164(constB127) | (~(v145(constB127) | v165(constB127)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23247,plain,
% 7.82/5.96 (v164(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23246, 23245, 23205])).
% 7.82/5.96 tff(23248,plain,
% 7.82/5.96 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB127)) | (v161(constB127) <=> v168(constB127)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB127)) | (v161(constB127) <=> v168(constB127)))),
% 7.82/5.96 inference(rewrite,[status(thm)],[])).
% 7.82/5.96 tff(23249,plain,
% 7.82/5.96 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB127)) | (v161(constB127) <=> v168(constB127)))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23250,plain,
% 7.82/5.96 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB127)) | (v161(constB127) <=> v168(constB127))),
% 7.82/5.96 inference(modus_ponens,[status(thm)],[23249, 23248])).
% 7.82/5.96 tff(23251,plain,
% 7.82/5.96 ((~v164(constB127)) | (v161(constB127) <=> v168(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23250, 12128])).
% 7.82/5.96 tff(23252,plain,
% 7.82/5.96 (v161(constB127) <=> v168(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23251, 23247])).
% 7.82/5.96 tff(23253,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB127) <=> (~(v88(constB127, bitIndex0) | v88(constB127, bitIndex1) | v88(constB127, bitIndex2))))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23254,plain,
% 7.82/5.96 (v139(constB127) <=> (~(v88(constB127, bitIndex0) | v88(constB127, bitIndex1) | v88(constB127, bitIndex2)))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23253, 12146])).
% 7.82/5.96 tff(23255,plain,
% 7.82/5.96 ((v88(constB127, bitIndex0) | v88(constB127, bitIndex1) | v88(constB127, bitIndex2)) | (~v88(constB127, bitIndex0))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23256,plain,
% 7.82/5.96 (v88(constB127, bitIndex0) | v88(constB127, bitIndex1) | v88(constB127, bitIndex2)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23255, 23226])).
% 7.82/5.96 tff(23257,plain,
% 7.82/5.96 ((~(v139(constB127) <=> (~(v88(constB127, bitIndex0) | v88(constB127, bitIndex1) | v88(constB127, bitIndex2))))) | (~v139(constB127)) | (~(v88(constB127, bitIndex0) | v88(constB127, bitIndex1) | v88(constB127, bitIndex2)))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23258,plain,
% 7.82/5.96 (~v139(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23257, 23256, 23254])).
% 7.82/5.96 tff(23259,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB127) <=> (~(v88(constB127, bitIndex1) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0)))))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23260,plain,
% 7.82/5.96 (v140(constB127) <=> (~(v88(constB127, bitIndex1) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0))))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23259, 12165])).
% 7.82/5.96 tff(23261,plain,
% 7.82/5.96 ((v88(constB127, bitIndex1) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0))) | (~v88(constB127, bitIndex1))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23262,plain,
% 7.82/5.96 (v88(constB127, bitIndex1) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23261, 23230])).
% 7.82/5.96 tff(23263,plain,
% 7.82/5.96 ((~(v140(constB127) <=> (~(v88(constB127, bitIndex1) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0)))))) | (~v140(constB127)) | (~(v88(constB127, bitIndex1) | v88(constB127, bitIndex2) | (~v88(constB127, bitIndex0))))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23264,plain,
% 7.82/5.96 (~v140(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23263, 23262, 23260])).
% 7.82/5.96 tff(23265,plain,
% 7.82/5.96 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB127) | v140(constB127) | (~v168(constB127)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB127) | v140(constB127) | (~v168(constB127)))),
% 7.82/5.96 inference(rewrite,[status(thm)],[])).
% 7.82/5.96 tff(23266,plain,
% 7.82/5.96 ((v140(constB127) | v139(constB127) | (~v168(constB127))) <=> (v139(constB127) | v140(constB127) | (~v168(constB127)))),
% 7.82/5.96 inference(rewrite,[status(thm)],[])).
% 7.82/5.96 tff(23267,plain,
% 7.82/5.96 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB127) | v139(constB127) | (~v168(constB127)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB127) | v140(constB127) | (~v168(constB127))))),
% 7.82/5.96 inference(monotonicity,[status(thm)],[23266])).
% 7.82/5.96 tff(23268,plain,
% 7.82/5.96 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB127) | v139(constB127) | (~v168(constB127)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB127) | v140(constB127) | (~v168(constB127)))),
% 7.82/5.96 inference(transitivity,[status(thm)],[23267, 23265])).
% 7.82/5.96 tff(23269,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB127) | v139(constB127) | (~v168(constB127)))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23270,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB127) | v140(constB127) | (~v168(constB127))),
% 7.82/5.96 inference(modus_ponens,[status(thm)],[23269, 23268])).
% 7.82/5.96 tff(23271,plain,
% 7.82/5.96 (v139(constB127) | v140(constB127) | (~v168(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23270, 12184])).
% 7.82/5.96 tff(23272,plain,
% 7.82/5.96 (~v168(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23271, 23264, 23258])).
% 7.82/5.96 tff(23273,plain,
% 7.82/5.96 ((~(v161(constB127) <=> v168(constB127))) | (~v161(constB127)) | v168(constB127)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23274,plain,
% 7.82/5.96 ((~(v161(constB127) <=> v168(constB127))) | (~v161(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23273, 23272])).
% 7.82/5.96 tff(23275,plain,
% 7.82/5.96 (~v161(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23274, 23252])).
% 7.82/5.96 tff(23276,plain,
% 7.82/5.96 ((~(v159(constB127) <=> v161(constB127))) | (~v159(constB127)) | v161(constB127)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23277,plain,
% 7.82/5.96 ((~(v159(constB127) <=> v161(constB127))) | (~v159(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23276, 23275])).
% 7.82/5.96 tff(23278,plain,
% 7.82/5.96 (~v159(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23277, 23203])).
% 7.82/5.96 tff(23279,plain,
% 7.82/5.96 (((~v184(constB127)) | (~v159(constB127))) | v159(constB127)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23280,plain,
% 7.82/5.96 ((~v184(constB127)) | (~v159(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23279, 23278])).
% 7.82/5.96 tff(23281,plain,
% 7.82/5.96 ((~(v187(constB127) <=> (~((~v184(constB127)) | (~v159(constB127)))))) | (~v187(constB127)) | (~((~v184(constB127)) | (~v159(constB127))))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23282,plain,
% 7.82/5.96 (~v187(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23281, 23280, 23201])).
% 7.82/5.96 tff(23283,plain,
% 7.82/5.96 (((~v186(constB127)) | (~v187(constB127))) | v187(constB127)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23284,plain,
% 7.82/5.96 ((~v186(constB127)) | (~v187(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23283, 23282])).
% 7.82/5.96 tff(23285,plain,
% 7.82/5.96 ((~(v185(constB127) <=> (~((~v186(constB127)) | (~v187(constB127)))))) | (~v185(constB127)) | (~((~v186(constB127)) | (~v187(constB127))))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23286,plain,
% 7.82/5.96 (~v185(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23285, 23284, 23199])).
% 7.82/5.96 tff(23287,plain,
% 7.82/5.96 ((~(v181(constB127) | v185(constB127))) | v181(constB127) | v185(constB127)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23288,plain,
% 7.82/5.96 (~(v181(constB127) | v185(constB127))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23287, 23286, 23197])).
% 7.82/5.96 tff(23289,plain,
% 7.82/5.96 ((~(v178(constB127) <=> (v181(constB127) | v185(constB127)))) | (~v178(constB127)) | (v181(constB127) | v185(constB127))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23290,plain,
% 7.82/5.96 (~v178(constB127)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23289, 23288, 23124])).
% 7.82/5.96 tff(23291,plain,
% 7.82/5.96 ((~(v180(constB128) <=> v178(constB127))) | (~v180(constB128)) | v178(constB127)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23292,plain,
% 7.82/5.96 (~v180(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23291, 23290, 23122])).
% 7.82/5.96 tff(23293,plain,
% 7.82/5.96 ((~(v157(constB128) <=> v180(constB128))) | (~v157(constB128)) | v180(constB128)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23294,plain,
% 7.82/5.96 (~v157(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23293, 23292, 23118])).
% 7.82/5.96 tff(23295,plain,
% 7.82/5.96 (((~v157(constB128)) | (~v182(constB128))) | v157(constB128)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23296,plain,
% 7.82/5.96 ((~v157(constB128)) | (~v182(constB128))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23295, 23294])).
% 7.82/5.96 tff(23297,plain,
% 7.82/5.96 ((~(v181(constB128) <=> (~((~v157(constB128)) | (~v182(constB128)))))) | (~v181(constB128)) | (~((~v157(constB128)) | (~v182(constB128))))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23298,plain,
% 7.82/5.96 (~v181(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23297, 23296, 23116])).
% 7.82/5.96 tff(23299,plain,
% 7.82/5.96 ((~(v181(constB128) | v185(constB128))) | v181(constB128) | v185(constB128)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23300,plain,
% 7.82/5.96 (~(v181(constB128) | v185(constB128))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23299, 23298, 23109])).
% 7.82/5.96 tff(23301,plain,
% 7.82/5.96 ((~(v178(constB128) <=> (v181(constB128) | v185(constB128)))) | (~v178(constB128)) | (v181(constB128) | v185(constB128))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23302,plain,
% 7.82/5.96 (~v178(constB128)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23301, 23300, 23084])).
% 7.82/5.96 tff(23303,plain,
% 7.82/5.96 ((~(v180(constB129) <=> v178(constB128))) | (~v180(constB129)) | v178(constB128)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23304,plain,
% 7.82/5.96 (~v180(constB129)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23303, 23302, 23082])).
% 7.82/5.96 tff(23305,plain,
% 7.82/5.96 ($false),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23304, 23078])).
% 7.82/5.96 tff(23306,plain,(~(constB129 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.82/5.96 tff(23307,assumption,(constB33 = VarCurr!0), introduced(assumption)).
% 7.82/5.96 tff(23308,plain,
% 7.82/5.96 (v180(constB33) <=> v180(VarCurr!0)),
% 7.82/5.96 inference(monotonicity,[status(thm)],[23307])).
% 7.82/5.96 tff(23309,plain,
% 7.82/5.96 (v180(VarCurr!0) <=> v180(constB33)),
% 7.82/5.96 inference(symmetry,[status(thm)],[23308])).
% 7.82/5.96 tff(23310,plain,
% 7.82/5.96 (v180(constB33)),
% 7.82/5.96 inference(modus_ponens,[status(thm)],[59, 23309])).
% 7.82/5.96 tff(23311,plain,
% 7.82/5.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB32, constB33)) | (v180(constB33) <=> v178(constB32)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB32, constB33)) | (v180(constB33) <=> v178(constB32)))),
% 7.82/5.96 inference(rewrite,[status(thm)],[])).
% 7.82/5.96 tff(23312,plain,
% 7.82/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB32, constB33)) | (v180(constB33) <=> v178(constB32)))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23313,plain,
% 7.82/5.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB32, constB33)) | (v180(constB33) <=> v178(constB32))),
% 7.82/5.96 inference(modus_ponens,[status(thm)],[23312, 23311])).
% 7.82/5.96 tff(23314,plain,
% 7.82/5.96 (v180(constB33) <=> v178(constB32)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23313, 2833, 70])).
% 7.82/5.96 tff(23315,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB32) <=> (v181(constB32) | v185(constB32)))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23316,plain,
% 7.82/5.96 (v178(constB32) <=> (v181(constB32) | v185(constB32))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23315, 84])).
% 7.82/5.96 tff(23317,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB32) <=> (~((~v186(constB32)) | (~v187(constB32)))))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23318,plain,
% 7.82/5.96 (v185(constB32) <=> (~((~v186(constB32)) | (~v187(constB32))))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23317, 96])).
% 7.82/5.96 tff(23319,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB32) <=> (~((~v184(constB32)) | (~v159(constB32)))))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23320,plain,
% 7.82/5.96 (v187(constB32) <=> (~((~v184(constB32)) | (~v159(constB32))))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23319, 108])).
% 7.82/5.96 tff(23321,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23322,plain,
% 7.82/5.96 (v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32))))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23321, 120])).
% 7.82/5.96 tff(23323,plain,
% 7.82/5.96 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB32)) <=> v1(constB32))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23324,plain,
% 7.82/5.96 ((~v39(constB32)) <=> v1(constB32)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23323, 129])).
% 7.82/5.96 tff(23325,plain,
% 7.82/5.96 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32)) | (~v1(constB32))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23326,plain,
% 7.82/5.96 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23325, 6523])).
% 7.82/5.96 tff(23327,plain,
% 7.82/5.96 (~v39(constB32)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23326, 23324])).
% 7.82/5.96 tff(23328,plain,
% 7.82/5.96 (((~v39(constB32)) | (~v9(constB32))) | v39(constB32)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23329,plain,
% 7.82/5.96 ((~v39(constB32)) | (~v9(constB32))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23328, 23327])).
% 7.82/5.96 tff(23330,plain,
% 7.82/5.96 ((~(v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v184(constB32)) | (~((~v39(constB32)) | (~v9(constB32))))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23331,plain,
% 7.82/5.96 ((~(v184(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v184(constB32))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23330, 23329])).
% 7.82/5.96 tff(23332,plain,
% 7.82/5.96 (~v184(constB32)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23331, 23322])).
% 7.82/5.96 tff(23333,plain,
% 7.82/5.96 (((~v184(constB32)) | (~v159(constB32))) | v184(constB32)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23334,plain,
% 7.82/5.96 ((~v184(constB32)) | (~v159(constB32))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23333, 23332])).
% 7.82/5.96 tff(23335,plain,
% 7.82/5.96 ((~(v187(constB32) <=> (~((~v184(constB32)) | (~v159(constB32)))))) | (~v187(constB32)) | (~((~v184(constB32)) | (~v159(constB32))))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23336,plain,
% 7.82/5.96 ((~(v187(constB32) <=> (~((~v184(constB32)) | (~v159(constB32)))))) | (~v187(constB32))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23335, 23334])).
% 7.82/5.96 tff(23337,plain,
% 7.82/5.96 (~v187(constB32)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23336, 23320])).
% 7.82/5.96 tff(23338,plain,
% 7.82/5.96 (((~v186(constB32)) | (~v187(constB32))) | v187(constB32)),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23339,plain,
% 7.82/5.96 ((~v186(constB32)) | (~v187(constB32))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23338, 23337])).
% 7.82/5.96 tff(23340,plain,
% 7.82/5.96 ((~(v185(constB32) <=> (~((~v186(constB32)) | (~v187(constB32)))))) | (~v185(constB32)) | (~((~v186(constB32)) | (~v187(constB32))))),
% 7.82/5.96 inference(tautology,[status(thm)],[])).
% 7.82/5.96 tff(23341,plain,
% 7.82/5.96 (~v185(constB32)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23340, 23339, 23318])).
% 7.82/5.96 tff(23342,plain,
% 7.82/5.96 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32))))))),
% 7.82/5.96 inference(rewrite,[status(thm)],[])).
% 7.82/5.96 tff(23343,plain,
% 7.82/5.96 ((v181(constB32) <=> (~((~v182(constB32)) | (~v157(constB32))))) <=> (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32)))))),
% 7.82/5.96 inference(rewrite,[status(thm)],[])).
% 7.82/5.96 tff(23344,plain,
% 7.82/5.96 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v182(constB32)) | (~v157(constB32)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32))))))),
% 7.82/5.96 inference(monotonicity,[status(thm)],[23343])).
% 7.82/5.96 tff(23345,plain,
% 7.82/5.96 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v182(constB32)) | (~v157(constB32)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32))))))),
% 7.82/5.96 inference(transitivity,[status(thm)],[23344, 23342])).
% 7.82/5.96 tff(23346,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v182(constB32)) | (~v157(constB32)))))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23347,plain,
% 7.82/5.96 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32)))))),
% 7.82/5.96 inference(modus_ponens,[status(thm)],[23346, 23345])).
% 7.82/5.96 tff(23348,plain,
% 7.82/5.96 (v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32))))),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23347, 161])).
% 7.82/5.96 tff(23349,plain,
% 7.82/5.96 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB32) <=> v180(constB32))),
% 7.82/5.96 inference(quant_inst,[status(thm)],[])).
% 7.82/5.96 tff(23350,plain,
% 7.82/5.96 (v157(constB32) <=> v180(constB32)),
% 7.82/5.96 inference(unit_resolution,[status(thm)],[23349, 13])).
% 7.82/5.97 tff(23351,plain,
% 7.82/5.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB31, constB32)) | (v180(constB32) <=> v178(constB31)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB31, constB32)) | (v180(constB32) <=> v178(constB31)))),
% 7.82/5.97 inference(rewrite,[status(thm)],[])).
% 7.82/5.97 tff(23352,plain,
% 7.82/5.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB31, constB32)) | (v180(constB32) <=> v178(constB31)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23353,plain,
% 7.82/5.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB31, constB32)) | (v180(constB32) <=> v178(constB31))),
% 7.82/5.97 inference(modus_ponens,[status(thm)],[23352, 23351])).
% 7.82/5.97 tff(23354,plain,
% 7.82/5.97 (v180(constB32) <=> v178(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23353, 2869, 70])).
% 7.82/5.97 tff(23355,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB31) <=> (v181(constB31) | v185(constB31)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23356,plain,
% 7.82/5.97 (v178(constB31) <=> (v181(constB31) | v185(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23355, 84])).
% 7.82/5.97 tff(23357,plain,
% 7.82/5.97 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31))))))),
% 7.82/5.97 inference(rewrite,[status(thm)],[])).
% 7.82/5.97 tff(23358,plain,
% 7.82/5.97 ((v181(constB31) <=> (~((~v182(constB31)) | (~v157(constB31))))) <=> (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31)))))),
% 7.82/5.97 inference(rewrite,[status(thm)],[])).
% 7.82/5.97 tff(23359,plain,
% 7.82/5.97 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v182(constB31)) | (~v157(constB31)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31))))))),
% 7.82/5.97 inference(monotonicity,[status(thm)],[23358])).
% 7.82/5.97 tff(23360,plain,
% 7.82/5.97 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v182(constB31)) | (~v157(constB31)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31))))))),
% 7.82/5.97 inference(transitivity,[status(thm)],[23359, 23357])).
% 7.82/5.97 tff(23361,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v182(constB31)) | (~v157(constB31)))))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23362,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31)))))),
% 7.82/5.97 inference(modus_ponens,[status(thm)],[23361, 23360])).
% 7.82/5.97 tff(23363,plain,
% 7.82/5.97 (v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31))))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23362, 161])).
% 7.82/5.97 tff(23364,plain,
% 7.82/5.97 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB31)) <=> v183(constB31))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23365,plain,
% 7.82/5.97 ((~v182(constB31)) <=> v183(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23364, 193])).
% 7.82/5.97 tff(23366,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB31) <=> (v184(constB31) | v26(constB31)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23367,plain,
% 7.82/5.97 (v183(constB31) <=> (v184(constB31) | v26(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23366, 202])).
% 7.82/5.97 tff(23368,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB31) <=> (~((~v39(constB31)) | (~v9(constB31)))))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23369,plain,
% 7.82/5.97 (v184(constB31) <=> (~((~v39(constB31)) | (~v9(constB31))))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23368, 120])).
% 7.82/5.97 tff(23370,plain,
% 7.82/5.97 (((~![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)))),
% 7.82/5.97 inference(rewrite,[status(thm)],[])).
% 7.82/5.97 tff(23371,plain,
% 7.82/5.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23372,plain,
% 7.82/5.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31))),
% 7.82/5.97 inference(modus_ponens,[status(thm)],[23371, 23370])).
% 7.82/5.97 tff(23373,plain,
% 7.82/5.97 (v13(constB32) <=> v9(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23372, 2869, 216])).
% 7.82/5.97 tff(23374,plain,
% 7.82/5.97 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB32) <=> v13(constB32))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23375,plain,
% 7.82/5.97 (v6(constB32) <=> v13(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23374, 230])).
% 7.82/5.97 tff(23376,plain,
% 7.82/5.97 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB32)) <=> v6(constB32))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23377,plain,
% 7.82/5.97 ((~v21(constB32)) <=> v6(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23376, 239])).
% 7.82/5.97 tff(23378,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB32) <=> (v20(constB32) | v21(constB32)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23379,plain,
% 7.82/5.97 (v19(constB32) <=> (v20(constB32) | v21(constB32))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23378, 248])).
% 7.82/5.97 tff(23380,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32)))))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23381,plain,
% 7.82/5.97 (v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32))))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23380, 260])).
% 7.82/5.97 tff(23382,plain,
% 7.82/5.97 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB32)) <=> v18(constB32))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23383,plain,
% 7.82/5.97 ((~v4(constB32)) <=> v18(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23382, 269])).
% 7.82/5.97 tff(23384,plain,
% 7.82/5.97 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB32)),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23385,plain,
% 7.82/5.97 (v4(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23384, 278])).
% 7.82/5.97 tff(23386,plain,
% 7.82/5.97 ((~((~v4(constB32)) <=> v18(constB32))) | (~v4(constB32)) | (~v18(constB32))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23387,plain,
% 7.82/5.97 (~v18(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23386, 23385, 23383])).
% 7.82/5.97 tff(23388,plain,
% 7.82/5.97 ((~(v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32)))))) | v18(constB32) | ((~v19(constB32)) | (~v22(constB32)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23389,plain,
% 7.82/5.97 ((~v19(constB32)) | (~v22(constB32))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23388, 23387, 23381])).
% 7.82/5.97 tff(23390,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB32) <=> (v1(constB32) | v6(constB32)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23391,plain,
% 7.82/5.97 (v22(constB32) <=> (v1(constB32) | v6(constB32))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23390, 291])).
% 7.82/5.97 tff(23392,plain,
% 7.82/5.97 ((v1(constB32) | v6(constB32)) | (~v1(constB32))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23393,plain,
% 7.82/5.97 (v1(constB32) | v6(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23392, 6523])).
% 7.82/5.97 tff(23394,plain,
% 7.82/5.97 ((~(v22(constB32) <=> (v1(constB32) | v6(constB32)))) | v22(constB32) | (~(v1(constB32) | v6(constB32)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23395,plain,
% 7.82/5.97 ((~(v22(constB32) <=> (v1(constB32) | v6(constB32)))) | v22(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23394, 23393])).
% 7.82/5.97 tff(23396,plain,
% 7.82/5.97 (v22(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23395, 23391])).
% 7.82/5.97 tff(23397,plain,
% 7.82/5.97 ((~((~v19(constB32)) | (~v22(constB32)))) | (~v19(constB32)) | (~v22(constB32))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23398,plain,
% 7.82/5.97 ((~((~v19(constB32)) | (~v22(constB32)))) | (~v19(constB32))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23397, 23396])).
% 7.82/5.97 tff(23399,plain,
% 7.82/5.97 (~v19(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23398, 23389])).
% 7.82/5.97 tff(23400,plain,
% 7.82/5.97 ((~(v19(constB32) <=> (v20(constB32) | v21(constB32)))) | v19(constB32) | (~(v20(constB32) | v21(constB32)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23401,plain,
% 7.82/5.97 (~(v20(constB32) | v21(constB32))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23400, 23399, 23379])).
% 7.82/5.97 tff(23402,plain,
% 7.82/5.97 ((v20(constB32) | v21(constB32)) | (~v21(constB32))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23403,plain,
% 7.82/5.97 (~v21(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23402, 23401])).
% 7.82/5.97 tff(23404,plain,
% 7.82/5.97 ((~((~v21(constB32)) <=> v6(constB32))) | v21(constB32) | v6(constB32)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23405,plain,
% 7.82/5.97 (v6(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23404, 23403, 23377])).
% 7.82/5.97 tff(23406,plain,
% 7.82/5.97 ((~(v6(constB32) <=> v13(constB32))) | (~v6(constB32)) | v13(constB32)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23407,plain,
% 7.82/5.97 (v13(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23406, 23405, 23375])).
% 7.82/5.97 tff(23408,plain,
% 7.82/5.97 ((~(v13(constB32) <=> v9(constB31))) | (~v13(constB32)) | v9(constB31)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23409,plain,
% 7.82/5.97 (v9(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23408, 23407, 23373])).
% 7.82/5.97 tff(23410,plain,
% 7.82/5.97 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB31)) <=> v1(constB31))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23411,plain,
% 7.82/5.97 ((~v39(constB31)) <=> v1(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23410, 129])).
% 7.82/5.97 tff(23412,plain,
% 7.82/5.97 ((~((~v39(constB31)) <=> v1(constB31))) | v39(constB31) | v1(constB31)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23413,plain,
% 7.82/5.97 ((~((~v39(constB31)) <=> v1(constB31))) | v39(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23412, 2913])).
% 7.82/5.97 tff(23414,plain,
% 7.82/5.97 (v39(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23413, 23411])).
% 7.82/5.97 tff(23415,plain,
% 7.82/5.97 ((~((~v39(constB31)) | (~v9(constB31)))) | (~v39(constB31)) | (~v9(constB31))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23416,plain,
% 7.82/5.97 ((~((~v39(constB31)) | (~v9(constB31)))) | (~v9(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23415, 23414])).
% 7.82/5.97 tff(23417,plain,
% 7.82/5.97 (~((~v39(constB31)) | (~v9(constB31)))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23416, 23409])).
% 7.82/5.97 tff(23418,plain,
% 7.82/5.97 ((~(v184(constB31) <=> (~((~v39(constB31)) | (~v9(constB31)))))) | v184(constB31) | ((~v39(constB31)) | (~v9(constB31)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23419,plain,
% 7.82/5.97 (v184(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23418, 23417, 23369])).
% 7.82/5.97 tff(23420,plain,
% 7.82/5.97 ((v184(constB31) | v26(constB31)) | (~v184(constB31))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23421,plain,
% 7.82/5.97 (v184(constB31) | v26(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23420, 23419])).
% 7.82/5.97 tff(23422,plain,
% 7.82/5.97 ((~(v183(constB31) <=> (v184(constB31) | v26(constB31)))) | v183(constB31) | (~(v184(constB31) | v26(constB31)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23423,plain,
% 7.82/5.97 (v183(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23422, 23421, 23367])).
% 7.82/5.97 tff(23424,plain,
% 7.82/5.97 ((~((~v182(constB31)) <=> v183(constB31))) | (~v182(constB31)) | (~v183(constB31))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23425,plain,
% 7.82/5.97 (~v182(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23424, 23423, 23365])).
% 7.82/5.97 tff(23426,plain,
% 7.82/5.97 (((~v157(constB31)) | (~v182(constB31))) | v182(constB31)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23427,plain,
% 7.82/5.97 ((~v157(constB31)) | (~v182(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23426, 23425])).
% 7.82/5.97 tff(23428,plain,
% 7.82/5.97 ((~(v181(constB31) <=> (~((~v157(constB31)) | (~v182(constB31)))))) | (~v181(constB31)) | (~((~v157(constB31)) | (~v182(constB31))))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23429,plain,
% 7.82/5.97 (~v181(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23428, 23427, 23363])).
% 7.82/5.97 tff(23430,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB31) <=> (~((~v186(constB31)) | (~v187(constB31)))))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23431,plain,
% 7.82/5.97 (v185(constB31) <=> (~((~v186(constB31)) | (~v187(constB31))))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23430, 96])).
% 7.82/5.97 tff(23432,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB31) <=> (~((~v184(constB31)) | (~v159(constB31)))))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23433,plain,
% 7.82/5.97 (v187(constB31) <=> (~((~v184(constB31)) | (~v159(constB31))))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23432, 108])).
% 7.82/5.97 tff(23434,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB31) <=> v161(constB31))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23435,plain,
% 7.82/5.97 (v159(constB31) <=> v161(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23434, 345])).
% 7.82/5.97 tff(23436,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB31) <=> (v145(constB31) | v165(constB31)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23437,plain,
% 7.82/5.97 (v164(constB31) <=> (v145(constB31) | v165(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23436, 357])).
% 7.82/5.97 tff(23438,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB31) <=> (v142(constB31) | v166(constB31)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23439,plain,
% 7.82/5.97 (v165(constB31) <=> (v142(constB31) | v166(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23438, 369])).
% 7.82/5.97 tff(23440,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB31) <=> (v141(constB31) | v167(constB31)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23441,plain,
% 7.82/5.97 (v166(constB31) <=> (v141(constB31) | v167(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23440, 381])).
% 7.82/5.97 tff(23442,plain,
% 7.82/5.97 (((~![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))))))),
% 7.82/5.97 inference(rewrite,[status(thm)],[])).
% 7.82/5.97 tff(23443,plain,
% 7.82/5.97 ((v141(constB31) <=> (~(v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0))))) <=> (v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))),
% 7.82/5.97 inference(rewrite,[status(thm)],[])).
% 7.82/5.97 tff(23444,plain,
% 7.82/5.97 (((~![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))))))),
% 7.82/5.97 inference(monotonicity,[status(thm)],[23443])).
% 7.82/5.97 tff(23445,plain,
% 7.82/5.97 (((~![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))))))),
% 7.82/5.97 inference(transitivity,[status(thm)],[23444, 23442])).
% 7.82/5.97 tff(23446,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB31) <=> (~(v88(constB31, bitIndex2) | (~v88(constB31, bitIndex1)) | (~v88(constB31, bitIndex0)))))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23447,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))),
% 7.82/5.97 inference(modus_ponens,[status(thm)],[23446, 23445])).
% 7.82/5.97 tff(23448,plain,
% 7.82/5.97 (v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23447, 396])).
% 7.82/5.97 tff(23449,plain,
% 7.82/5.97 ((~![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))))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23450,plain,
% 7.82/5.97 (~(((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)) | ((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)) | ((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0)))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23449, 416])).
% 7.82/5.97 tff(23451,plain,
% 7.82/5.97 ((((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)) | ((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)) | ((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0))) | (~((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23452,plain,
% 7.82/5.97 (~((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23451, 23450])).
% 7.82/5.97 tff(23453,plain,
% 7.82/5.97 (((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)) | (~v88(constB31, bitIndex2)) | v90(constB31, bitIndex2)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23454,plain,
% 7.82/5.97 (~v88(constB31, bitIndex2)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23453, 6445, 23452])).
% 7.82/5.97 tff(23455,plain,
% 7.82/5.97 ((((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)) | ((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)) | ((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0))) | (~((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23456,plain,
% 7.82/5.97 (~((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23455, 23450])).
% 7.82/5.97 tff(23457,plain,
% 7.82/5.97 (((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0)) | v88(constB31, bitIndex0) | (~v90(constB31, bitIndex0))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23458,plain,
% 7.82/5.97 (v88(constB31, bitIndex0)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23457, 6463, 23456])).
% 7.82/5.97 tff(23459,plain,
% 7.82/5.97 ((((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)) | ((~v88(constB31, bitIndex2)) <=> v90(constB31, bitIndex2)) | ((~v88(constB31, bitIndex0)) <=> v90(constB31, bitIndex0))) | (~((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23460,plain,
% 7.82/5.97 (~((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23459, 23450])).
% 7.82/5.97 tff(23461,plain,
% 7.82/5.97 (((~v88(constB31, bitIndex1)) <=> v90(constB31, bitIndex1)) | v88(constB31, bitIndex1) | (~v90(constB31, bitIndex1))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23462,plain,
% 7.82/5.97 (v88(constB31, bitIndex1)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23461, 6481, 23460])).
% 7.82/5.97 tff(23463,plain,
% 7.82/5.97 ((~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))) | (~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23464,plain,
% 7.82/5.97 (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23463, 23462, 23458, 23454])).
% 7.82/5.97 tff(23465,plain,
% 7.82/5.97 ((~(v141(constB31) <=> (~((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))) | v141(constB31) | ((~v88(constB31, bitIndex1)) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23466,plain,
% 7.82/5.97 (v141(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23465, 23464, 23448])).
% 7.82/5.97 tff(23467,plain,
% 7.82/5.97 ((v141(constB31) | v167(constB31)) | (~v141(constB31))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23468,plain,
% 7.82/5.97 (v141(constB31) | v167(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23467, 23466])).
% 7.82/5.97 tff(23469,plain,
% 7.82/5.97 ((~(v166(constB31) <=> (v141(constB31) | v167(constB31)))) | v166(constB31) | (~(v141(constB31) | v167(constB31)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23470,plain,
% 7.82/5.97 (v166(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23469, 23468, 23441])).
% 7.82/5.97 tff(23471,plain,
% 7.82/5.97 ((v142(constB31) | v166(constB31)) | (~v166(constB31))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23472,plain,
% 7.82/5.97 (v142(constB31) | v166(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23471, 23470])).
% 7.82/5.97 tff(23473,plain,
% 7.82/5.97 ((~(v165(constB31) <=> (v142(constB31) | v166(constB31)))) | v165(constB31) | (~(v142(constB31) | v166(constB31)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23474,plain,
% 7.82/5.97 ((~(v165(constB31) <=> (v142(constB31) | v166(constB31)))) | v165(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23473, 23472])).
% 7.82/5.97 tff(23475,plain,
% 7.82/5.97 (v165(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23474, 23439])).
% 7.82/5.97 tff(23476,plain,
% 7.82/5.97 ((v145(constB31) | v165(constB31)) | (~v165(constB31))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23477,plain,
% 7.82/5.97 (v145(constB31) | v165(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23476, 23475])).
% 7.82/5.97 tff(23478,plain,
% 7.82/5.97 ((~(v164(constB31) <=> (v145(constB31) | v165(constB31)))) | v164(constB31) | (~(v145(constB31) | v165(constB31)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23479,plain,
% 7.82/5.97 (v164(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23478, 23477, 23437])).
% 7.82/5.97 tff(23480,plain,
% 7.82/5.97 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB31)) | (v161(constB31) <=> v168(constB31)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB31)) | (v161(constB31) <=> v168(constB31)))),
% 7.82/5.97 inference(rewrite,[status(thm)],[])).
% 7.82/5.97 tff(23481,plain,
% 7.82/5.97 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB31)) | (v161(constB31) <=> v168(constB31)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23482,plain,
% 7.82/5.97 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB31)) | (v161(constB31) <=> v168(constB31))),
% 7.82/5.97 inference(modus_ponens,[status(thm)],[23481, 23480])).
% 7.82/5.97 tff(23483,plain,
% 7.82/5.97 ((~v164(constB31)) | (v161(constB31) <=> v168(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23482, 12128])).
% 7.82/5.97 tff(23484,plain,
% 7.82/5.97 (v161(constB31) <=> v168(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23483, 23479])).
% 7.82/5.97 tff(23485,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB31) <=> (~(v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2))))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23486,plain,
% 7.82/5.97 (v139(constB31) <=> (~(v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2)))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23485, 12146])).
% 7.82/5.97 tff(23487,plain,
% 7.82/5.97 ((v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2)) | (~v88(constB31, bitIndex0))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23488,plain,
% 7.82/5.97 (v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23487, 23458])).
% 7.82/5.97 tff(23489,plain,
% 7.82/5.97 ((~(v139(constB31) <=> (~(v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2))))) | (~v139(constB31)) | (~(v88(constB31, bitIndex0) | v88(constB31, bitIndex1) | v88(constB31, bitIndex2)))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23490,plain,
% 7.82/5.97 (~v139(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23489, 23488, 23486])).
% 7.82/5.97 tff(23491,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB31) <=> (~(v88(constB31, bitIndex1) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23492,plain,
% 7.82/5.97 (v140(constB31) <=> (~(v88(constB31, bitIndex1) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23491, 12165])).
% 7.82/5.97 tff(23493,plain,
% 7.82/5.97 ((v88(constB31, bitIndex1) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))) | (~v88(constB31, bitIndex1))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23494,plain,
% 7.82/5.97 (v88(constB31, bitIndex1) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23493, 23462])).
% 7.82/5.97 tff(23495,plain,
% 7.82/5.97 ((~(v140(constB31) <=> (~(v88(constB31, bitIndex1) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0)))))) | (~v140(constB31)) | (~(v88(constB31, bitIndex1) | v88(constB31, bitIndex2) | (~v88(constB31, bitIndex0))))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23496,plain,
% 7.82/5.97 (~v140(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23495, 23494, 23492])).
% 7.82/5.97 tff(23497,plain,
% 7.82/5.97 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB31) | v139(constB31) | (~v168(constB31)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB31) | v139(constB31) | (~v168(constB31)))),
% 7.82/5.97 inference(rewrite,[status(thm)],[])).
% 7.82/5.97 tff(23498,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB31) | v139(constB31) | (~v168(constB31)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23499,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB31) | v139(constB31) | (~v168(constB31))),
% 7.82/5.97 inference(modus_ponens,[status(thm)],[23498, 23497])).
% 7.82/5.97 tff(23500,plain,
% 7.82/5.97 (v140(constB31) | v139(constB31) | (~v168(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23499, 12184])).
% 7.82/5.97 tff(23501,plain,
% 7.82/5.97 (~v168(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23500, 23496, 23490])).
% 7.82/5.97 tff(23502,plain,
% 7.82/5.97 ((~(v161(constB31) <=> v168(constB31))) | (~v161(constB31)) | v168(constB31)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23503,plain,
% 7.82/5.97 ((~(v161(constB31) <=> v168(constB31))) | (~v161(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23502, 23501])).
% 7.82/5.97 tff(23504,plain,
% 7.82/5.97 (~v161(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23503, 23484])).
% 7.82/5.97 tff(23505,plain,
% 7.82/5.97 ((~(v159(constB31) <=> v161(constB31))) | (~v159(constB31)) | v161(constB31)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23506,plain,
% 7.82/5.97 ((~(v159(constB31) <=> v161(constB31))) | (~v159(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23505, 23504])).
% 7.82/5.97 tff(23507,plain,
% 7.82/5.97 (~v159(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23506, 23435])).
% 7.82/5.97 tff(23508,plain,
% 7.82/5.97 (((~v184(constB31)) | (~v159(constB31))) | v159(constB31)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23509,plain,
% 7.82/5.97 ((~v184(constB31)) | (~v159(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23508, 23507])).
% 7.82/5.97 tff(23510,plain,
% 7.82/5.97 ((~(v187(constB31) <=> (~((~v184(constB31)) | (~v159(constB31)))))) | (~v187(constB31)) | (~((~v184(constB31)) | (~v159(constB31))))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23511,plain,
% 7.82/5.97 (~v187(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23510, 23509, 23433])).
% 7.82/5.97 tff(23512,plain,
% 7.82/5.97 (((~v186(constB31)) | (~v187(constB31))) | v187(constB31)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23513,plain,
% 7.82/5.97 ((~v186(constB31)) | (~v187(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23512, 23511])).
% 7.82/5.97 tff(23514,plain,
% 7.82/5.97 ((~(v185(constB31) <=> (~((~v186(constB31)) | (~v187(constB31)))))) | (~v185(constB31)) | (~((~v186(constB31)) | (~v187(constB31))))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23515,plain,
% 7.82/5.97 (~v185(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23514, 23513, 23431])).
% 7.82/5.97 tff(23516,plain,
% 7.82/5.97 ((~(v181(constB31) | v185(constB31))) | v181(constB31) | v185(constB31)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23517,plain,
% 7.82/5.97 (~(v181(constB31) | v185(constB31))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23516, 23515, 23429])).
% 7.82/5.97 tff(23518,plain,
% 7.82/5.97 ((~(v178(constB31) <=> (v181(constB31) | v185(constB31)))) | (~v178(constB31)) | (v181(constB31) | v185(constB31))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23519,plain,
% 7.82/5.97 (~v178(constB31)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23518, 23517, 23356])).
% 7.82/5.97 tff(23520,plain,
% 7.82/5.97 ((~(v180(constB32) <=> v178(constB31))) | (~v180(constB32)) | v178(constB31)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23521,plain,
% 7.82/5.97 (~v180(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23520, 23519, 23354])).
% 7.82/5.97 tff(23522,plain,
% 7.82/5.97 ((~(v157(constB32) <=> v180(constB32))) | (~v157(constB32)) | v180(constB32)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23523,plain,
% 7.82/5.97 (~v157(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23522, 23521, 23350])).
% 7.82/5.97 tff(23524,plain,
% 7.82/5.97 (((~v157(constB32)) | (~v182(constB32))) | v157(constB32)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23525,plain,
% 7.82/5.97 ((~v157(constB32)) | (~v182(constB32))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23524, 23523])).
% 7.82/5.97 tff(23526,plain,
% 7.82/5.97 ((~(v181(constB32) <=> (~((~v157(constB32)) | (~v182(constB32)))))) | (~v181(constB32)) | (~((~v157(constB32)) | (~v182(constB32))))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23527,plain,
% 7.82/5.97 (~v181(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23526, 23525, 23348])).
% 7.82/5.97 tff(23528,plain,
% 7.82/5.97 ((~(v181(constB32) | v185(constB32))) | v181(constB32) | v185(constB32)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23529,plain,
% 7.82/5.97 (~(v181(constB32) | v185(constB32))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23528, 23527, 23341])).
% 7.82/5.97 tff(23530,plain,
% 7.82/5.97 ((~(v178(constB32) <=> (v181(constB32) | v185(constB32)))) | (~v178(constB32)) | (v181(constB32) | v185(constB32))),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23531,plain,
% 7.82/5.97 (~v178(constB32)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23530, 23529, 23316])).
% 7.82/5.97 tff(23532,plain,
% 7.82/5.97 ((~(v180(constB33) <=> v178(constB32))) | (~v180(constB33)) | v178(constB32)),
% 7.82/5.97 inference(tautology,[status(thm)],[])).
% 7.82/5.97 tff(23533,plain,
% 7.82/5.97 (~v180(constB33)),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23532, 23531, 23314])).
% 7.82/5.97 tff(23534,plain,
% 7.82/5.97 ($false),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23533, 23310])).
% 7.82/5.97 tff(23535,plain,(~(constB33 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.82/5.97 tff(23536,assumption,(constB109 = VarCurr!0), introduced(assumption)).
% 7.82/5.97 tff(23537,plain,
% 7.82/5.97 (v86(constB109) <=> v86(VarCurr!0)),
% 7.82/5.97 inference(monotonicity,[status(thm)],[23536])).
% 7.82/5.97 tff(23538,plain,
% 7.82/5.97 (v86(VarCurr!0) <=> v86(constB109)),
% 7.82/5.97 inference(symmetry,[status(thm)],[23537])).
% 7.82/5.97 tff(23539,plain,
% 7.82/5.97 ((~v86(VarCurr!0)) <=> (~v86(constB109))),
% 7.82/5.97 inference(monotonicity,[status(thm)],[23538])).
% 7.82/5.97 tff(23540,plain,
% 7.82/5.97 (~v86(constB109)),
% 7.82/5.97 inference(modus_ponens,[status(thm)],[21766, 23539])).
% 7.82/5.97 tff(23541,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB109) <=> (v136(constB109) | v145(constB109)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23542,plain,
% 7.82/5.97 (v135(constB109) <=> (v136(constB109) | v145(constB109))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23541, 21774])).
% 7.82/5.97 tff(23543,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB109) <=> (v137(constB109) | v142(constB109)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23544,plain,
% 7.82/5.97 (v136(constB109) <=> (v137(constB109) | v142(constB109))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23543, 21783])).
% 7.82/5.97 tff(23545,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB109) <=> (v143(constB109) | v144(constB109)))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23546,plain,
% 7.82/5.97 (v142(constB109) <=> (v143(constB109) | v144(constB109))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23545, 21792])).
% 7.82/5.97 tff(23547,plain,
% 7.82/5.97 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0)))))),
% 7.82/5.97 inference(rewrite,[status(thm)],[])).
% 7.82/5.97 tff(23548,plain,
% 7.82/5.97 ((v144(constB109) <=> (~(v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2))))) <=> (v144(constB109) <=> (~((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0))))),
% 7.82/5.97 inference(rewrite,[status(thm)],[])).
% 7.82/5.97 tff(23549,plain,
% 7.82/5.97 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~(v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0)))))),
% 7.82/5.97 inference(monotonicity,[status(thm)],[23548])).
% 7.82/5.97 tff(23550,plain,
% 7.82/5.97 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~(v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0)))))),
% 7.82/5.97 inference(transitivity,[status(thm)],[23549, 23547])).
% 7.82/5.97 tff(23551,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~(v88(constB109, bitIndex0) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)))))),
% 7.82/5.97 inference(quant_inst,[status(thm)],[])).
% 7.82/5.97 tff(23552,plain,
% 7.82/5.97 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB109) <=> (~((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0))))),
% 7.82/5.97 inference(modus_ponens,[status(thm)],[23551, 23550])).
% 7.82/5.97 tff(23553,plain,
% 7.82/5.97 (v144(constB109) <=> (~((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0)))),
% 7.82/5.97 inference(unit_resolution,[status(thm)],[23552, 21807])).
% 7.82/5.97 tff(23554,plain,
% 7.82/5.97 ((~![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))))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23555,plain,
% 7.82/5.98 (~(((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)) | ((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)) | ((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0)))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23554, 416])).
% 7.82/5.98 tff(23556,plain,
% 7.82/5.98 ((((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)) | ((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)) | ((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0))) | (~((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23557,plain,
% 7.82/5.98 (~((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23556, 23555])).
% 7.82/5.98 tff(23558,plain,
% 7.82/5.98 (((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)) | v88(constB109, bitIndex2) | (~v90(constB109, bitIndex2))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23559,plain,
% 7.82/5.98 (v88(constB109, bitIndex2)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23558, 15458, 23557])).
% 7.82/5.98 tff(23560,plain,
% 7.82/5.98 ((((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)) | ((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)) | ((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0))) | (~((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0)))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23561,plain,
% 7.82/5.98 (~((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23560, 23555])).
% 7.82/5.98 tff(23562,plain,
% 7.82/5.98 (((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0)) | (~v88(constB109, bitIndex0)) | v90(constB109, bitIndex0)),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23563,plain,
% 7.82/5.98 (~v88(constB109, bitIndex0)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23562, 15609, 23561])).
% 7.82/5.98 tff(23564,plain,
% 7.82/5.98 ((((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)) | ((~v88(constB109, bitIndex2)) <=> v90(constB109, bitIndex2)) | ((~v88(constB109, bitIndex0)) <=> v90(constB109, bitIndex0))) | (~((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23565,plain,
% 7.82/5.98 (~((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23564, 23555])).
% 7.82/5.98 tff(23566,plain,
% 7.82/5.98 (((~v88(constB109, bitIndex1)) <=> v90(constB109, bitIndex1)) | v88(constB109, bitIndex1) | (~v90(constB109, bitIndex1))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23567,plain,
% 7.82/5.98 (v88(constB109, bitIndex1)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23566, 15487, 23565])).
% 7.82/5.98 tff(23568,plain,
% 7.82/5.98 ((~((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0))) | (~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0)),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23569,plain,
% 7.82/5.98 (~((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23568, 23567, 23563, 23559])).
% 7.82/5.98 tff(23570,plain,
% 7.82/5.98 ((~(v144(constB109) <=> (~((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0))))) | v144(constB109) | ((~v88(constB109, bitIndex1)) | (~v88(constB109, bitIndex2)) | v88(constB109, bitIndex0))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23571,plain,
% 7.82/5.98 (v144(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23570, 23569, 23553])).
% 7.82/5.98 tff(23572,plain,
% 7.82/5.98 ((v143(constB109) | v144(constB109)) | (~v144(constB109))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23573,plain,
% 7.82/5.98 (v143(constB109) | v144(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23572, 23571])).
% 7.82/5.98 tff(23574,plain,
% 7.82/5.98 ((~(v142(constB109) <=> (v143(constB109) | v144(constB109)))) | v142(constB109) | (~(v143(constB109) | v144(constB109)))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23575,plain,
% 7.82/5.98 (v142(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23574, 23573, 23546])).
% 7.82/5.98 tff(23576,plain,
% 7.82/5.98 ((v137(constB109) | v142(constB109)) | (~v142(constB109))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23577,plain,
% 7.82/5.98 (v137(constB109) | v142(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23576, 23575])).
% 7.82/5.98 tff(23578,plain,
% 7.82/5.98 ((~(v136(constB109) <=> (v137(constB109) | v142(constB109)))) | v136(constB109) | (~(v137(constB109) | v142(constB109)))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23579,plain,
% 7.82/5.98 ((~(v136(constB109) <=> (v137(constB109) | v142(constB109)))) | v136(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23578, 23577])).
% 7.82/5.98 tff(23580,plain,
% 7.82/5.98 (v136(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23579, 23544])).
% 7.82/5.98 tff(23581,plain,
% 7.82/5.98 ((v136(constB109) | v145(constB109)) | (~v136(constB109))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23582,plain,
% 7.82/5.98 (v136(constB109) | v145(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23581, 23580])).
% 7.82/5.98 tff(23583,plain,
% 7.82/5.98 ((~(v135(constB109) <=> (v136(constB109) | v145(constB109)))) | v135(constB109) | (~(v136(constB109) | v145(constB109)))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23584,plain,
% 7.82/5.98 (v135(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23583, 23582, 23542])).
% 7.82/5.98 tff(23585,plain,
% 7.82/5.98 (((~![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)))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23586,plain,
% 7.82/5.98 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB109)) | (v86(constB109) <=> v148(constB109)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23587,plain,
% 7.82/5.98 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB109)) | (v86(constB109) <=> v148(constB109))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23586, 23585])).
% 7.82/5.98 tff(23588,plain,
% 7.82/5.98 (v86(constB109) <=> v148(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23587, 21855, 23584])).
% 7.82/5.98 tff(23589,plain,
% 7.82/5.98 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109)))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23590,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB109) | (~v142(constB109)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23591,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB109) | (~v142(constB109))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23590, 23589])).
% 7.82/5.98 tff(23592,plain,
% 7.82/5.98 (v148(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23591, 21869, 23575])).
% 7.82/5.98 tff(23593,plain,
% 7.82/5.98 ((~(v86(constB109) <=> v148(constB109))) | v86(constB109) | (~v148(constB109))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23594,plain,
% 7.82/5.98 ((~(v86(constB109) <=> v148(constB109))) | v86(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23593, 23592])).
% 7.82/5.98 tff(23595,plain,
% 7.82/5.98 (v86(constB109)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23594, 23588])).
% 7.82/5.98 tff(23596,plain,
% 7.82/5.98 ($false),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23595, 23540])).
% 7.82/5.98 tff(23597,plain,(~(constB109 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.82/5.98 tff(23598,assumption,(constB91 = VarCurr!0), introduced(assumption)).
% 7.82/5.98 tff(23599,plain,
% 7.82/5.98 (v180(constB91) <=> v180(VarCurr!0)),
% 7.82/5.98 inference(monotonicity,[status(thm)],[23598])).
% 7.82/5.98 tff(23600,plain,
% 7.82/5.98 (v180(VarCurr!0) <=> v180(constB91)),
% 7.82/5.98 inference(symmetry,[status(thm)],[23599])).
% 7.82/5.98 tff(23601,plain,
% 7.82/5.98 (v180(constB91)),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[59, 23600])).
% 7.82/5.98 tff(23602,plain,
% 7.82/5.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB90, constB91)) | (v180(constB91) <=> v178(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB90, constB91)) | (v180(constB91) <=> v178(constB90)))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23603,plain,
% 7.82/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB90, constB91)) | (v180(constB91) <=> v178(constB90)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23604,plain,
% 7.82/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB90, constB91)) | (v180(constB91) <=> v178(constB90))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23603, 23602])).
% 7.82/5.98 tff(23605,plain,
% 7.82/5.98 (v180(constB91) <=> v178(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23604, 969, 70])).
% 7.82/5.98 tff(23606,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB90) <=> (v181(constB90) | v185(constB90)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23607,plain,
% 7.82/5.98 (v178(constB90) <=> (v181(constB90) | v185(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23606, 84])).
% 7.82/5.98 tff(23608,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB90) <=> (~((~v186(constB90)) | (~v187(constB90)))))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23609,plain,
% 7.82/5.98 (v185(constB90) <=> (~((~v186(constB90)) | (~v187(constB90))))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23608, 96])).
% 7.82/5.98 tff(23610,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB90) <=> (~((~v184(constB90)) | (~v159(constB90)))))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23611,plain,
% 7.82/5.98 (v187(constB90) <=> (~((~v184(constB90)) | (~v159(constB90))))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23610, 108])).
% 7.82/5.98 tff(23612,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23613,plain,
% 7.82/5.98 (v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90))))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23612, 120])).
% 7.82/5.98 tff(23614,plain,
% 7.82/5.98 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB90)) <=> v1(constB90))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23615,plain,
% 7.82/5.98 ((~v39(constB90)) <=> v1(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23614, 129])).
% 7.82/5.98 tff(23616,plain,
% 7.82/5.98 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90)) | (~v1(constB90))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23617,plain,
% 7.82/5.98 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23616, 11043])).
% 7.82/5.98 tff(23618,plain,
% 7.82/5.98 (~v39(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23617, 23615])).
% 7.82/5.98 tff(23619,plain,
% 7.82/5.98 (((~v39(constB90)) | (~v9(constB90))) | v39(constB90)),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23620,plain,
% 7.82/5.98 ((~v39(constB90)) | (~v9(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23619, 23618])).
% 7.82/5.98 tff(23621,plain,
% 7.82/5.98 ((~(v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v184(constB90)) | (~((~v39(constB90)) | (~v9(constB90))))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23622,plain,
% 7.82/5.98 ((~(v184(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v184(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23621, 23620])).
% 7.82/5.98 tff(23623,plain,
% 7.82/5.98 (~v184(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23622, 23613])).
% 7.82/5.98 tff(23624,plain,
% 7.82/5.98 (((~v184(constB90)) | (~v159(constB90))) | v184(constB90)),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23625,plain,
% 7.82/5.98 ((~v184(constB90)) | (~v159(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23624, 23623])).
% 7.82/5.98 tff(23626,plain,
% 7.82/5.98 ((~(v187(constB90) <=> (~((~v184(constB90)) | (~v159(constB90)))))) | (~v187(constB90)) | (~((~v184(constB90)) | (~v159(constB90))))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23627,plain,
% 7.82/5.98 ((~(v187(constB90) <=> (~((~v184(constB90)) | (~v159(constB90)))))) | (~v187(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23626, 23625])).
% 7.82/5.98 tff(23628,plain,
% 7.82/5.98 (~v187(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23627, 23611])).
% 7.82/5.98 tff(23629,plain,
% 7.82/5.98 (((~v186(constB90)) | (~v187(constB90))) | v187(constB90)),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23630,plain,
% 7.82/5.98 ((~v186(constB90)) | (~v187(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23629, 23628])).
% 7.82/5.98 tff(23631,plain,
% 7.82/5.98 ((~(v185(constB90) <=> (~((~v186(constB90)) | (~v187(constB90)))))) | (~v185(constB90)) | (~((~v186(constB90)) | (~v187(constB90))))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23632,plain,
% 7.82/5.98 (~v185(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23631, 23630, 23609])).
% 7.82/5.98 tff(23633,plain,
% 7.82/5.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90))))))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23634,plain,
% 7.82/5.98 ((v181(constB90) <=> (~((~v182(constB90)) | (~v157(constB90))))) <=> (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90)))))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23635,plain,
% 7.82/5.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v182(constB90)) | (~v157(constB90)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90))))))),
% 7.82/5.98 inference(monotonicity,[status(thm)],[23634])).
% 7.82/5.98 tff(23636,plain,
% 7.82/5.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v182(constB90)) | (~v157(constB90)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90))))))),
% 7.82/5.98 inference(transitivity,[status(thm)],[23635, 23633])).
% 7.82/5.98 tff(23637,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v182(constB90)) | (~v157(constB90)))))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23638,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90)))))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23637, 23636])).
% 7.82/5.98 tff(23639,plain,
% 7.82/5.98 (v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90))))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23638, 161])).
% 7.82/5.98 tff(23640,plain,
% 7.82/5.98 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB90) <=> v180(constB90))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23641,plain,
% 7.82/5.98 (v157(constB90) <=> v180(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23640, 13])).
% 7.82/5.98 tff(23642,plain,
% 7.82/5.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB89, constB90)) | (v180(constB90) <=> v178(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB89, constB90)) | (v180(constB90) <=> v178(constB89)))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23643,plain,
% 7.82/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB89, constB90)) | (v180(constB90) <=> v178(constB89)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23644,plain,
% 7.82/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB89, constB90)) | (v180(constB90) <=> v178(constB89))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23643, 23642])).
% 7.82/5.98 tff(23645,plain,
% 7.82/5.98 (v180(constB90) <=> v178(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23644, 1005, 70])).
% 7.82/5.98 tff(23646,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB89) <=> (v181(constB89) | v185(constB89)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23647,plain,
% 7.82/5.98 (v178(constB89) <=> (v181(constB89) | v185(constB89))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23646, 84])).
% 7.82/5.98 tff(23648,plain,
% 7.82/5.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89))))))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23649,plain,
% 7.82/5.98 ((v181(constB89) <=> (~((~v182(constB89)) | (~v157(constB89))))) <=> (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89)))))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23650,plain,
% 7.82/5.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v182(constB89)) | (~v157(constB89)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89))))))),
% 7.82/5.98 inference(monotonicity,[status(thm)],[23649])).
% 7.82/5.98 tff(23651,plain,
% 7.82/5.98 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v182(constB89)) | (~v157(constB89)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89))))))),
% 7.82/5.98 inference(transitivity,[status(thm)],[23650, 23648])).
% 7.82/5.98 tff(23652,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v182(constB89)) | (~v157(constB89)))))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23653,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89)))))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23652, 23651])).
% 7.82/5.98 tff(23654,plain,
% 7.82/5.98 (v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89))))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23653, 161])).
% 7.82/5.98 tff(23655,plain,
% 7.82/5.98 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB89)) <=> v183(constB89))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23656,plain,
% 7.82/5.98 ((~v182(constB89)) <=> v183(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23655, 193])).
% 7.82/5.98 tff(23657,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB89) <=> (v184(constB89) | v26(constB89)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23658,plain,
% 7.82/5.98 (v183(constB89) <=> (v184(constB89) | v26(constB89))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23657, 202])).
% 7.82/5.98 tff(23659,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23660,plain,
% 7.82/5.98 (v184(constB89) <=> (~((~v39(constB89)) | (~v9(constB89))))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23659, 120])).
% 7.82/5.98 tff(23661,plain,
% 7.82/5.98 (((~![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)))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23662,plain,
% 7.82/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23663,plain,
% 7.82/5.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23662, 23661])).
% 7.82/5.98 tff(23664,plain,
% 7.82/5.98 (v13(constB90) <=> v9(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23663, 1005, 216])).
% 7.82/5.98 tff(23665,plain,
% 7.82/5.98 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB90) <=> v13(constB90))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23666,plain,
% 7.82/5.98 (v6(constB90) <=> v13(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23665, 230])).
% 7.82/5.98 tff(23667,plain,
% 7.82/5.98 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB90)) <=> v6(constB90))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23668,plain,
% 7.82/5.98 ((~v21(constB90)) <=> v6(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23667, 239])).
% 7.82/5.98 tff(23669,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB90) <=> (v20(constB90) | v21(constB90)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23670,plain,
% 7.82/5.98 (v19(constB90) <=> (v20(constB90) | v21(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23669, 248])).
% 7.82/5.98 tff(23671,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23672,plain,
% 7.82/5.98 (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90))))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23671, 260])).
% 7.82/5.98 tff(23673,plain,
% 7.82/5.98 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB90)) <=> v18(constB90))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23674,plain,
% 7.82/5.98 ((~v4(constB90)) <=> v18(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23673, 269])).
% 7.82/5.98 tff(23675,plain,
% 7.82/5.98 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB90)),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23676,plain,
% 7.82/5.98 (v4(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23675, 278])).
% 7.82/5.98 tff(23677,plain,
% 7.82/5.98 ((~((~v4(constB90)) <=> v18(constB90))) | (~v4(constB90)) | (~v18(constB90))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23678,plain,
% 7.82/5.98 (~v18(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23677, 23676, 23674])).
% 7.82/5.98 tff(23679,plain,
% 7.82/5.98 ((~(v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))) | v18(constB90) | ((~v19(constB90)) | (~v22(constB90)))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23680,plain,
% 7.82/5.98 ((~v19(constB90)) | (~v22(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23679, 23678, 23672])).
% 7.82/5.98 tff(23681,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB90) <=> (v1(constB90) | v6(constB90)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23682,plain,
% 7.82/5.98 (v22(constB90) <=> (v1(constB90) | v6(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23681, 291])).
% 7.82/5.98 tff(23683,plain,
% 7.82/5.98 ((v1(constB90) | v6(constB90)) | (~v1(constB90))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23684,plain,
% 7.82/5.98 (v1(constB90) | v6(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23683, 11043])).
% 7.82/5.98 tff(23685,plain,
% 7.82/5.98 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90) | (~(v1(constB90) | v6(constB90)))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23686,plain,
% 7.82/5.98 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23685, 23684])).
% 7.82/5.98 tff(23687,plain,
% 7.82/5.98 (v22(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23686, 23682])).
% 7.82/5.98 tff(23688,plain,
% 7.82/5.98 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90)) | (~v22(constB90))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23689,plain,
% 7.82/5.98 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23688, 23687])).
% 7.82/5.98 tff(23690,plain,
% 7.82/5.98 (~v19(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23689, 23680])).
% 7.82/5.98 tff(23691,plain,
% 7.82/5.98 ((~(v19(constB90) <=> (v20(constB90) | v21(constB90)))) | v19(constB90) | (~(v20(constB90) | v21(constB90)))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23692,plain,
% 7.82/5.98 (~(v20(constB90) | v21(constB90))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23691, 23690, 23670])).
% 7.82/5.98 tff(23693,plain,
% 7.82/5.98 ((v20(constB90) | v21(constB90)) | (~v21(constB90))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23694,plain,
% 7.82/5.98 (~v21(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23693, 23692])).
% 7.82/5.98 tff(23695,plain,
% 7.82/5.98 ((~((~v21(constB90)) <=> v6(constB90))) | v21(constB90) | v6(constB90)),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23696,plain,
% 7.82/5.98 (v6(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23695, 23694, 23668])).
% 7.82/5.98 tff(23697,plain,
% 7.82/5.98 ((~(v6(constB90) <=> v13(constB90))) | (~v6(constB90)) | v13(constB90)),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23698,plain,
% 7.82/5.98 (v13(constB90)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23697, 23696, 23666])).
% 7.82/5.98 tff(23699,plain,
% 7.82/5.98 ((~(v13(constB90) <=> v9(constB89))) | (~v13(constB90)) | v9(constB89)),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23700,plain,
% 7.82/5.98 (v9(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23699, 23698, 23664])).
% 7.82/5.98 tff(23701,plain,
% 7.82/5.98 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB89)) <=> v1(constB89))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23702,plain,
% 7.82/5.98 ((~v39(constB89)) <=> v1(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23701, 129])).
% 7.82/5.98 tff(23703,plain,
% 7.82/5.98 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89) | v1(constB89)),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23704,plain,
% 7.82/5.98 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23703, 1049])).
% 7.82/5.98 tff(23705,plain,
% 7.82/5.98 (v39(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23704, 23702])).
% 7.82/5.98 tff(23706,plain,
% 7.82/5.98 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v39(constB89)) | (~v9(constB89))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23707,plain,
% 7.82/5.98 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v9(constB89))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23706, 23705])).
% 7.82/5.98 tff(23708,plain,
% 7.82/5.98 (~((~v39(constB89)) | (~v9(constB89)))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23707, 23700])).
% 7.82/5.98 tff(23709,plain,
% 7.82/5.98 ((~(v184(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))) | v184(constB89) | ((~v39(constB89)) | (~v9(constB89)))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23710,plain,
% 7.82/5.98 (v184(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23709, 23708, 23660])).
% 7.82/5.98 tff(23711,plain,
% 7.82/5.98 ((v184(constB89) | v26(constB89)) | (~v184(constB89))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23712,plain,
% 7.82/5.98 (v184(constB89) | v26(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23711, 23710])).
% 7.82/5.98 tff(23713,plain,
% 7.82/5.98 ((~(v183(constB89) <=> (v184(constB89) | v26(constB89)))) | v183(constB89) | (~(v184(constB89) | v26(constB89)))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23714,plain,
% 7.82/5.98 (v183(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23713, 23712, 23658])).
% 7.82/5.98 tff(23715,plain,
% 7.82/5.98 ((~((~v182(constB89)) <=> v183(constB89))) | (~v182(constB89)) | (~v183(constB89))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23716,plain,
% 7.82/5.98 (~v182(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23715, 23714, 23656])).
% 7.82/5.98 tff(23717,plain,
% 7.82/5.98 (((~v157(constB89)) | (~v182(constB89))) | v182(constB89)),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23718,plain,
% 7.82/5.98 ((~v157(constB89)) | (~v182(constB89))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23717, 23716])).
% 7.82/5.98 tff(23719,plain,
% 7.82/5.98 ((~(v181(constB89) <=> (~((~v157(constB89)) | (~v182(constB89)))))) | (~v181(constB89)) | (~((~v157(constB89)) | (~v182(constB89))))),
% 7.82/5.98 inference(tautology,[status(thm)],[])).
% 7.82/5.98 tff(23720,plain,
% 7.82/5.98 (~v181(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23719, 23718, 23654])).
% 7.82/5.98 tff(23721,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB89) <=> (~((~v186(constB89)) | (~v187(constB89)))))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23722,plain,
% 7.82/5.98 (v185(constB89) <=> (~((~v186(constB89)) | (~v187(constB89))))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23721, 96])).
% 7.82/5.98 tff(23723,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB89) <=> (~((~v184(constB89)) | (~v159(constB89)))))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23724,plain,
% 7.82/5.98 (v187(constB89) <=> (~((~v184(constB89)) | (~v159(constB89))))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23723, 108])).
% 7.82/5.98 tff(23725,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB89) <=> v161(constB89))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23726,plain,
% 7.82/5.98 (v159(constB89) <=> v161(constB89)),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23725, 345])).
% 7.82/5.98 tff(23727,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB89) <=> (v145(constB89) | v165(constB89)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23728,plain,
% 7.82/5.98 (v164(constB89) <=> (v145(constB89) | v165(constB89))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23727, 357])).
% 7.82/5.98 tff(23729,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB89) <=> (v142(constB89) | v166(constB89)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23730,plain,
% 7.82/5.98 (v165(constB89) <=> (v142(constB89) | v166(constB89))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23729, 369])).
% 7.82/5.98 tff(23731,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB89) <=> (v143(constB89) | v144(constB89)))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23732,plain,
% 7.82/5.98 (v142(constB89) <=> (v143(constB89) | v144(constB89))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23731, 21792])).
% 7.82/5.98 tff(23733,plain,
% 7.82/5.98 (^[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))))))),
% 7.82/5.98 inference(bind,[status(th)],[])).
% 7.82/5.98 tff(23734,plain,
% 7.82/5.98 (![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)))))),
% 7.82/5.98 inference(quant_intro,[status(thm)],[23733])).
% 7.82/5.98 tff(23735,plain,
% 7.82/5.98 (^[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))))))),
% 7.82/5.98 inference(bind,[status(th)],[])).
% 7.82/5.98 tff(23736,plain,
% 7.82/5.98 (![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)))))),
% 7.82/5.98 inference(quant_intro,[status(thm)],[23735])).
% 7.82/5.98 tff(23737,plain,
% 7.82/5.98 (![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))))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23738,plain,
% 7.82/5.98 (^[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)))))),
% 7.82/5.98 inference(bind,[status(th)],[])).
% 7.82/5.98 tff(23739,plain,
% 7.82/5.98 (![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))))),
% 7.82/5.98 inference(quant_intro,[status(thm)],[23738])).
% 7.82/5.98 tff(23740,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')).
% 7.82/5.98 tff(23741,plain,
% 7.82/5.98 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23740, 23739])).
% 7.82/5.98 tff(23742,plain,
% 7.82/5.98 (![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23741, 23737])).
% 7.82/5.98 tff(23743,plain,(
% 7.82/5.98 ![VarCurr: $i] : (v143(VarCurr) <=> ((~v88(VarCurr, bitIndex2)) & v88(VarCurr, bitIndex1) & (~v88(VarCurr, bitIndex0))))),
% 7.82/5.98 inference(skolemize,[status(sab)],[23742])).
% 7.82/5.98 tff(23744,plain,
% 7.82/5.98 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23743, 23736])).
% 7.82/5.98 tff(23745,plain,
% 7.82/5.98 (![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23744, 23734])).
% 7.82/5.98 tff(23746,plain,
% 7.82/5.98 (((~![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)))))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23747,plain,
% 7.82/5.98 ((v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1))))) <=> (v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))))),
% 7.82/5.98 inference(rewrite,[status(thm)],[])).
% 7.82/5.98 tff(23748,plain,
% 7.82/5.98 (((~![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)))))),
% 7.82/5.98 inference(monotonicity,[status(thm)],[23747])).
% 7.82/5.98 tff(23749,plain,
% 7.82/5.98 (((~![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)))))),
% 7.82/5.98 inference(transitivity,[status(thm)],[23748, 23746])).
% 7.82/5.98 tff(23750,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex1)))))),
% 7.82/5.98 inference(quant_inst,[status(thm)],[])).
% 7.82/5.98 tff(23751,plain,
% 7.82/5.98 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))))),
% 7.82/5.98 inference(modus_ponens,[status(thm)],[23750, 23749])).
% 7.82/5.98 tff(23752,plain,
% 7.82/5.98 (v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0)))),
% 7.82/5.98 inference(unit_resolution,[status(thm)],[23751, 23745])).
% 7.82/5.98 tff(23753,plain,
% 7.82/5.98 ((~![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))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23754,plain,
% 7.82/5.99 (~(((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)) | ((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)) | ((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0)))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23753, 416])).
% 7.82/5.99 tff(23755,plain,
% 7.82/5.99 ((((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)) | ((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)) | ((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0))) | (~((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23756,plain,
% 7.82/5.99 (~((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23755, 23754])).
% 7.82/5.99 tff(23757,plain,
% 7.82/5.99 (((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)) | (~v88(constB89, bitIndex2)) | v90(constB89, bitIndex2)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23758,plain,
% 7.82/5.99 (~v88(constB89, bitIndex2)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23757, 10962, 23756])).
% 7.82/5.99 tff(23759,plain,
% 7.82/5.99 ((((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)) | ((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)) | ((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0))) | (~((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23760,plain,
% 7.82/5.99 (~((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23759, 23754])).
% 7.82/5.99 tff(23761,plain,
% 7.82/5.99 (((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0)) | (~v88(constB89, bitIndex0)) | v90(constB89, bitIndex0)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23762,plain,
% 7.82/5.99 (~v88(constB89, bitIndex0)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23761, 10980, 23760])).
% 7.82/5.99 tff(23763,plain,
% 7.82/5.99 ((((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)) | ((~v88(constB89, bitIndex2)) <=> v90(constB89, bitIndex2)) | ((~v88(constB89, bitIndex0)) <=> v90(constB89, bitIndex0))) | (~((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23764,plain,
% 7.82/5.99 (~((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23763, 23754])).
% 7.82/5.99 tff(23765,plain,
% 7.82/5.99 (((~v88(constB89, bitIndex1)) <=> v90(constB89, bitIndex1)) | v88(constB89, bitIndex1) | (~v90(constB89, bitIndex1))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23766,plain,
% 7.82/5.99 (v88(constB89, bitIndex1)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23765, 10998, 23764])).
% 7.82/5.99 tff(23767,plain,
% 7.82/5.99 ((~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))) | (~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23768,plain,
% 7.82/5.99 (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23767, 23766, 23762, 23758])).
% 7.82/5.99 tff(23769,plain,
% 7.82/5.99 ((~(v143(constB89) <=> (~((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))))) | v143(constB89) | ((~v88(constB89, bitIndex1)) | v88(constB89, bitIndex2) | v88(constB89, bitIndex0))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23770,plain,
% 7.82/5.99 (v143(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23769, 23768, 23752])).
% 7.82/5.99 tff(23771,plain,
% 7.82/5.99 ((v143(constB89) | v144(constB89)) | (~v143(constB89))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23772,plain,
% 7.82/5.99 (v143(constB89) | v144(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23771, 23770])).
% 7.82/5.99 tff(23773,plain,
% 7.82/5.99 ((~(v142(constB89) <=> (v143(constB89) | v144(constB89)))) | v142(constB89) | (~(v143(constB89) | v144(constB89)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23774,plain,
% 7.82/5.99 (v142(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23773, 23772, 23732])).
% 7.82/5.99 tff(23775,plain,
% 7.82/5.99 ((v142(constB89) | v166(constB89)) | (~v142(constB89))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23776,plain,
% 7.82/5.99 (v142(constB89) | v166(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23775, 23774])).
% 7.82/5.99 tff(23777,plain,
% 7.82/5.99 ((~(v165(constB89) <=> (v142(constB89) | v166(constB89)))) | v165(constB89) | (~(v142(constB89) | v166(constB89)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23778,plain,
% 7.82/5.99 ((~(v165(constB89) <=> (v142(constB89) | v166(constB89)))) | v165(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23777, 23776])).
% 7.82/5.99 tff(23779,plain,
% 7.82/5.99 (v165(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23778, 23730])).
% 7.82/5.99 tff(23780,plain,
% 7.82/5.99 ((v145(constB89) | v165(constB89)) | (~v165(constB89))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23781,plain,
% 7.82/5.99 (v145(constB89) | v165(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23780, 23779])).
% 7.82/5.99 tff(23782,plain,
% 7.82/5.99 ((~(v164(constB89) <=> (v145(constB89) | v165(constB89)))) | v164(constB89) | (~(v145(constB89) | v165(constB89)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23783,plain,
% 7.82/5.99 (v164(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23782, 23781, 23728])).
% 7.82/5.99 tff(23784,plain,
% 7.82/5.99 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB89)) | (v161(constB89) <=> v168(constB89)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB89)) | (v161(constB89) <=> v168(constB89)))),
% 7.82/5.99 inference(rewrite,[status(thm)],[])).
% 7.82/5.99 tff(23785,plain,
% 7.82/5.99 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB89)) | (v161(constB89) <=> v168(constB89)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23786,plain,
% 7.82/5.99 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB89)) | (v161(constB89) <=> v168(constB89))),
% 7.82/5.99 inference(modus_ponens,[status(thm)],[23785, 23784])).
% 7.82/5.99 tff(23787,plain,
% 7.82/5.99 ((~v164(constB89)) | (v161(constB89) <=> v168(constB89))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23786, 12128])).
% 7.82/5.99 tff(23788,plain,
% 7.82/5.99 (v161(constB89) <=> v168(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23787, 23783])).
% 7.82/5.99 tff(23789,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23790,plain,
% 7.82/5.99 (v139(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2)))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23789, 12146])).
% 7.82/5.99 tff(23791,plain,
% 7.82/5.99 ((v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2)) | (~v88(constB89, bitIndex1))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23792,plain,
% 7.82/5.99 (v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23791, 23766])).
% 7.82/5.99 tff(23793,plain,
% 7.82/5.99 ((~(v139(constB89) <=> (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2))))) | (~v139(constB89)) | (~(v88(constB89, bitIndex0) | v88(constB89, bitIndex1) | v88(constB89, bitIndex2)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23794,plain,
% 7.82/5.99 (~v139(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23793, 23792, 23790])).
% 7.82/5.99 tff(23795,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB89) <=> (~(v88(constB89, bitIndex1) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex0)))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23796,plain,
% 7.82/5.99 (v140(constB89) <=> (~(v88(constB89, bitIndex1) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex0))))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23795, 12165])).
% 7.82/5.99 tff(23797,plain,
% 7.82/5.99 ((v88(constB89, bitIndex1) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex0))) | (~v88(constB89, bitIndex1))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23798,plain,
% 7.82/5.99 (v88(constB89, bitIndex1) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex0))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23797, 23766])).
% 7.82/5.99 tff(23799,plain,
% 7.82/5.99 ((~(v140(constB89) <=> (~(v88(constB89, bitIndex1) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex0)))))) | (~v140(constB89)) | (~(v88(constB89, bitIndex1) | v88(constB89, bitIndex2) | (~v88(constB89, bitIndex0))))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23800,plain,
% 7.82/5.99 (~v140(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23799, 23798, 23796])).
% 7.82/5.99 tff(23801,plain,
% 7.82/5.99 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB89) | v139(constB89) | (~v168(constB89)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB89) | v139(constB89) | (~v168(constB89)))),
% 7.82/5.99 inference(rewrite,[status(thm)],[])).
% 7.82/5.99 tff(23802,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB89) | v139(constB89) | (~v168(constB89)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23803,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB89) | v139(constB89) | (~v168(constB89))),
% 7.82/5.99 inference(modus_ponens,[status(thm)],[23802, 23801])).
% 7.82/5.99 tff(23804,plain,
% 7.82/5.99 (v140(constB89) | v139(constB89) | (~v168(constB89))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23803, 12184])).
% 7.82/5.99 tff(23805,plain,
% 7.82/5.99 (~v168(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23804, 23800, 23794])).
% 7.82/5.99 tff(23806,plain,
% 7.82/5.99 ((~(v161(constB89) <=> v168(constB89))) | (~v161(constB89)) | v168(constB89)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23807,plain,
% 7.82/5.99 ((~(v161(constB89) <=> v168(constB89))) | (~v161(constB89))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23806, 23805])).
% 7.82/5.99 tff(23808,plain,
% 7.82/5.99 (~v161(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23807, 23788])).
% 7.82/5.99 tff(23809,plain,
% 7.82/5.99 ((~(v159(constB89) <=> v161(constB89))) | (~v159(constB89)) | v161(constB89)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23810,plain,
% 7.82/5.99 ((~(v159(constB89) <=> v161(constB89))) | (~v159(constB89))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23809, 23808])).
% 7.82/5.99 tff(23811,plain,
% 7.82/5.99 (~v159(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23810, 23726])).
% 7.82/5.99 tff(23812,plain,
% 7.82/5.99 (((~v184(constB89)) | (~v159(constB89))) | v159(constB89)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23813,plain,
% 7.82/5.99 ((~v184(constB89)) | (~v159(constB89))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23812, 23811])).
% 7.82/5.99 tff(23814,plain,
% 7.82/5.99 ((~(v187(constB89) <=> (~((~v184(constB89)) | (~v159(constB89)))))) | (~v187(constB89)) | (~((~v184(constB89)) | (~v159(constB89))))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23815,plain,
% 7.82/5.99 (~v187(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23814, 23813, 23724])).
% 7.82/5.99 tff(23816,plain,
% 7.82/5.99 (((~v186(constB89)) | (~v187(constB89))) | v187(constB89)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23817,plain,
% 7.82/5.99 ((~v186(constB89)) | (~v187(constB89))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23816, 23815])).
% 7.82/5.99 tff(23818,plain,
% 7.82/5.99 ((~(v185(constB89) <=> (~((~v186(constB89)) | (~v187(constB89)))))) | (~v185(constB89)) | (~((~v186(constB89)) | (~v187(constB89))))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23819,plain,
% 7.82/5.99 (~v185(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23818, 23817, 23722])).
% 7.82/5.99 tff(23820,plain,
% 7.82/5.99 ((~(v181(constB89) | v185(constB89))) | v181(constB89) | v185(constB89)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23821,plain,
% 7.82/5.99 (~(v181(constB89) | v185(constB89))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23820, 23819, 23720])).
% 7.82/5.99 tff(23822,plain,
% 7.82/5.99 ((~(v178(constB89) <=> (v181(constB89) | v185(constB89)))) | (~v178(constB89)) | (v181(constB89) | v185(constB89))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23823,plain,
% 7.82/5.99 (~v178(constB89)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23822, 23821, 23647])).
% 7.82/5.99 tff(23824,plain,
% 7.82/5.99 ((~(v180(constB90) <=> v178(constB89))) | (~v180(constB90)) | v178(constB89)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23825,plain,
% 7.82/5.99 (~v180(constB90)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23824, 23823, 23645])).
% 7.82/5.99 tff(23826,plain,
% 7.82/5.99 ((~(v157(constB90) <=> v180(constB90))) | (~v157(constB90)) | v180(constB90)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23827,plain,
% 7.82/5.99 (~v157(constB90)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23826, 23825, 23641])).
% 7.82/5.99 tff(23828,plain,
% 7.82/5.99 (((~v157(constB90)) | (~v182(constB90))) | v157(constB90)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23829,plain,
% 7.82/5.99 ((~v157(constB90)) | (~v182(constB90))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23828, 23827])).
% 7.82/5.99 tff(23830,plain,
% 7.82/5.99 ((~(v181(constB90) <=> (~((~v157(constB90)) | (~v182(constB90)))))) | (~v181(constB90)) | (~((~v157(constB90)) | (~v182(constB90))))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23831,plain,
% 7.82/5.99 (~v181(constB90)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23830, 23829, 23639])).
% 7.82/5.99 tff(23832,plain,
% 7.82/5.99 ((~(v181(constB90) | v185(constB90))) | v181(constB90) | v185(constB90)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23833,plain,
% 7.82/5.99 (~(v181(constB90) | v185(constB90))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23832, 23831, 23632])).
% 7.82/5.99 tff(23834,plain,
% 7.82/5.99 ((~(v178(constB90) <=> (v181(constB90) | v185(constB90)))) | (~v178(constB90)) | (v181(constB90) | v185(constB90))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23835,plain,
% 7.82/5.99 (~v178(constB90)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23834, 23833, 23607])).
% 7.82/5.99 tff(23836,plain,
% 7.82/5.99 ((~(v180(constB91) <=> v178(constB90))) | (~v180(constB91)) | v178(constB90)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23837,plain,
% 7.82/5.99 (~v180(constB91)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23836, 23835, 23605])).
% 7.82/5.99 tff(23838,plain,
% 7.82/5.99 ($false),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23837, 23601])).
% 7.82/5.99 tff(23839,plain,(~(constB91 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.82/5.99 tff(23840,assumption,(constB99 = VarCurr!0), introduced(assumption)).
% 7.82/5.99 tff(23841,plain,
% 7.82/5.99 (v180(constB99) <=> v180(VarCurr!0)),
% 7.82/5.99 inference(monotonicity,[status(thm)],[23840])).
% 7.82/5.99 tff(23842,plain,
% 7.82/5.99 (v180(VarCurr!0) <=> v180(constB99)),
% 7.82/5.99 inference(symmetry,[status(thm)],[23841])).
% 7.82/5.99 tff(23843,plain,
% 7.82/5.99 (v180(constB99)),
% 7.82/5.99 inference(modus_ponens,[status(thm)],[59, 23842])).
% 7.82/5.99 tff(23844,plain,
% 7.82/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB98, constB99)) | (v180(constB99) <=> v178(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB98, constB99)) | (v180(constB99) <=> v178(constB98)))),
% 7.82/5.99 inference(rewrite,[status(thm)],[])).
% 7.82/5.99 tff(23845,plain,
% 7.82/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB98, constB99)) | (v180(constB99) <=> v178(constB98)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23846,plain,
% 7.82/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB98, constB99)) | (v180(constB99) <=> v178(constB98))),
% 7.82/5.99 inference(modus_ponens,[status(thm)],[23845, 23844])).
% 7.82/5.99 tff(23847,plain,
% 7.82/5.99 (v180(constB99) <=> v178(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23846, 658, 70])).
% 7.82/5.99 tff(23848,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB98) <=> (v181(constB98) | v185(constB98)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23849,plain,
% 7.82/5.99 (v178(constB98) <=> (v181(constB98) | v185(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23848, 84])).
% 7.82/5.99 tff(23850,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB98) <=> (~((~v186(constB98)) | (~v187(constB98)))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23851,plain,
% 7.82/5.99 (v185(constB98) <=> (~((~v186(constB98)) | (~v187(constB98))))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23850, 96])).
% 7.82/5.99 tff(23852,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB98) <=> (~((~v184(constB98)) | (~v159(constB98)))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23853,plain,
% 7.82/5.99 (v187(constB98) <=> (~((~v184(constB98)) | (~v159(constB98))))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23852, 108])).
% 7.82/5.99 tff(23854,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23855,plain,
% 7.82/5.99 (v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98))))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23854, 120])).
% 7.82/5.99 tff(23856,plain,
% 7.82/5.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB98)) <=> v1(constB98))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23857,plain,
% 7.82/5.99 ((~v39(constB98)) <=> v1(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23856, 129])).
% 7.82/5.99 tff(23858,plain,
% 7.82/5.99 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98)) | (~v1(constB98))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23859,plain,
% 7.82/5.99 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23858, 11659])).
% 7.82/5.99 tff(23860,plain,
% 7.82/5.99 (~v39(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23859, 23857])).
% 7.82/5.99 tff(23861,plain,
% 7.82/5.99 (((~v39(constB98)) | (~v9(constB98))) | v39(constB98)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23862,plain,
% 7.82/5.99 ((~v39(constB98)) | (~v9(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23861, 23860])).
% 7.82/5.99 tff(23863,plain,
% 7.82/5.99 ((~(v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v184(constB98)) | (~((~v39(constB98)) | (~v9(constB98))))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23864,plain,
% 7.82/5.99 ((~(v184(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v184(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23863, 23862])).
% 7.82/5.99 tff(23865,plain,
% 7.82/5.99 (~v184(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23864, 23855])).
% 7.82/5.99 tff(23866,plain,
% 7.82/5.99 (((~v184(constB98)) | (~v159(constB98))) | v184(constB98)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23867,plain,
% 7.82/5.99 ((~v184(constB98)) | (~v159(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23866, 23865])).
% 7.82/5.99 tff(23868,plain,
% 7.82/5.99 ((~(v187(constB98) <=> (~((~v184(constB98)) | (~v159(constB98)))))) | (~v187(constB98)) | (~((~v184(constB98)) | (~v159(constB98))))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23869,plain,
% 7.82/5.99 ((~(v187(constB98) <=> (~((~v184(constB98)) | (~v159(constB98)))))) | (~v187(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23868, 23867])).
% 7.82/5.99 tff(23870,plain,
% 7.82/5.99 (~v187(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23869, 23853])).
% 7.82/5.99 tff(23871,plain,
% 7.82/5.99 (((~v186(constB98)) | (~v187(constB98))) | v187(constB98)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23872,plain,
% 7.82/5.99 ((~v186(constB98)) | (~v187(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23871, 23870])).
% 7.82/5.99 tff(23873,plain,
% 7.82/5.99 ((~(v185(constB98) <=> (~((~v186(constB98)) | (~v187(constB98)))))) | (~v185(constB98)) | (~((~v186(constB98)) | (~v187(constB98))))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23874,plain,
% 7.82/5.99 (~v185(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23873, 23872, 23851])).
% 7.82/5.99 tff(23875,plain,
% 7.82/5.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98))))))),
% 7.82/5.99 inference(rewrite,[status(thm)],[])).
% 7.82/5.99 tff(23876,plain,
% 7.82/5.99 ((v181(constB98) <=> (~((~v182(constB98)) | (~v157(constB98))))) <=> (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98)))))),
% 7.82/5.99 inference(rewrite,[status(thm)],[])).
% 7.82/5.99 tff(23877,plain,
% 7.82/5.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v182(constB98)) | (~v157(constB98)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98))))))),
% 7.82/5.99 inference(monotonicity,[status(thm)],[23876])).
% 7.82/5.99 tff(23878,plain,
% 7.82/5.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v182(constB98)) | (~v157(constB98)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98))))))),
% 7.82/5.99 inference(transitivity,[status(thm)],[23877, 23875])).
% 7.82/5.99 tff(23879,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v182(constB98)) | (~v157(constB98)))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23880,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98)))))),
% 7.82/5.99 inference(modus_ponens,[status(thm)],[23879, 23878])).
% 7.82/5.99 tff(23881,plain,
% 7.82/5.99 (v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98))))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23880, 161])).
% 7.82/5.99 tff(23882,plain,
% 7.82/5.99 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB98) <=> v180(constB98))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23883,plain,
% 7.82/5.99 (v157(constB98) <=> v180(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23882, 13])).
% 7.82/5.99 tff(23884,plain,
% 7.82/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB97, constB98)) | (v180(constB98) <=> v178(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB97, constB98)) | (v180(constB98) <=> v178(constB97)))),
% 7.82/5.99 inference(rewrite,[status(thm)],[])).
% 7.82/5.99 tff(23885,plain,
% 7.82/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB97, constB98)) | (v180(constB98) <=> v178(constB97)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23886,plain,
% 7.82/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB97, constB98)) | (v180(constB98) <=> v178(constB97))),
% 7.82/5.99 inference(modus_ponens,[status(thm)],[23885, 23884])).
% 7.82/5.99 tff(23887,plain,
% 7.82/5.99 (v180(constB98) <=> v178(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23886, 694, 70])).
% 7.82/5.99 tff(23888,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB97) <=> (v181(constB97) | v185(constB97)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23889,plain,
% 7.82/5.99 (v178(constB97) <=> (v181(constB97) | v185(constB97))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23888, 84])).
% 7.82/5.99 tff(23890,plain,
% 7.82/5.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97))))))),
% 7.82/5.99 inference(rewrite,[status(thm)],[])).
% 7.82/5.99 tff(23891,plain,
% 7.82/5.99 ((v181(constB97) <=> (~((~v182(constB97)) | (~v157(constB97))))) <=> (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97)))))),
% 7.82/5.99 inference(rewrite,[status(thm)],[])).
% 7.82/5.99 tff(23892,plain,
% 7.82/5.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v182(constB97)) | (~v157(constB97)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97))))))),
% 7.82/5.99 inference(monotonicity,[status(thm)],[23891])).
% 7.82/5.99 tff(23893,plain,
% 7.82/5.99 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v182(constB97)) | (~v157(constB97)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97))))))),
% 7.82/5.99 inference(transitivity,[status(thm)],[23892, 23890])).
% 7.82/5.99 tff(23894,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v182(constB97)) | (~v157(constB97)))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23895,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97)))))),
% 7.82/5.99 inference(modus_ponens,[status(thm)],[23894, 23893])).
% 7.82/5.99 tff(23896,plain,
% 7.82/5.99 (v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97))))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23895, 161])).
% 7.82/5.99 tff(23897,plain,
% 7.82/5.99 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB97)) <=> v183(constB97))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23898,plain,
% 7.82/5.99 ((~v182(constB97)) <=> v183(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23897, 193])).
% 7.82/5.99 tff(23899,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB97) <=> (v184(constB97) | v26(constB97)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23900,plain,
% 7.82/5.99 (v183(constB97) <=> (v184(constB97) | v26(constB97))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23899, 202])).
% 7.82/5.99 tff(23901,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB97) <=> (~((~v39(constB97)) | (~v9(constB97)))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23902,plain,
% 7.82/5.99 (v184(constB97) <=> (~((~v39(constB97)) | (~v9(constB97))))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23901, 120])).
% 7.82/5.99 tff(23903,plain,
% 7.82/5.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97)))),
% 7.82/5.99 inference(rewrite,[status(thm)],[])).
% 7.82/5.99 tff(23904,plain,
% 7.82/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23905,plain,
% 7.82/5.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97))),
% 7.82/5.99 inference(modus_ponens,[status(thm)],[23904, 23903])).
% 7.82/5.99 tff(23906,plain,
% 7.82/5.99 (v13(constB98) <=> v9(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23905, 694, 216])).
% 7.82/5.99 tff(23907,plain,
% 7.82/5.99 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB98) <=> v13(constB98))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23908,plain,
% 7.82/5.99 (v6(constB98) <=> v13(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23907, 230])).
% 7.82/5.99 tff(23909,plain,
% 7.82/5.99 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB98)) <=> v6(constB98))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23910,plain,
% 7.82/5.99 ((~v21(constB98)) <=> v6(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23909, 239])).
% 7.82/5.99 tff(23911,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB98) <=> (v20(constB98) | v21(constB98)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23912,plain,
% 7.82/5.99 (v19(constB98) <=> (v20(constB98) | v21(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23911, 248])).
% 7.82/5.99 tff(23913,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98)))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23914,plain,
% 7.82/5.99 (v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98))))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23913, 260])).
% 7.82/5.99 tff(23915,plain,
% 7.82/5.99 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB98)) <=> v18(constB98))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23916,plain,
% 7.82/5.99 ((~v4(constB98)) <=> v18(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23915, 269])).
% 7.82/5.99 tff(23917,plain,
% 7.82/5.99 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB98)),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23918,plain,
% 7.82/5.99 (v4(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23917, 278])).
% 7.82/5.99 tff(23919,plain,
% 7.82/5.99 ((~((~v4(constB98)) <=> v18(constB98))) | (~v4(constB98)) | (~v18(constB98))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23920,plain,
% 7.82/5.99 (~v18(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23919, 23918, 23916])).
% 7.82/5.99 tff(23921,plain,
% 7.82/5.99 ((~(v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98)))))) | v18(constB98) | ((~v19(constB98)) | (~v22(constB98)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23922,plain,
% 7.82/5.99 ((~v19(constB98)) | (~v22(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23921, 23920, 23914])).
% 7.82/5.99 tff(23923,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB98) <=> (v1(constB98) | v6(constB98)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23924,plain,
% 7.82/5.99 (v22(constB98) <=> (v1(constB98) | v6(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23923, 291])).
% 7.82/5.99 tff(23925,plain,
% 7.82/5.99 ((v1(constB98) | v6(constB98)) | (~v1(constB98))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23926,plain,
% 7.82/5.99 (v1(constB98) | v6(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23925, 11659])).
% 7.82/5.99 tff(23927,plain,
% 7.82/5.99 ((~(v22(constB98) <=> (v1(constB98) | v6(constB98)))) | v22(constB98) | (~(v1(constB98) | v6(constB98)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23928,plain,
% 7.82/5.99 ((~(v22(constB98) <=> (v1(constB98) | v6(constB98)))) | v22(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23927, 23926])).
% 7.82/5.99 tff(23929,plain,
% 7.82/5.99 (v22(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23928, 23924])).
% 7.82/5.99 tff(23930,plain,
% 7.82/5.99 ((~((~v19(constB98)) | (~v22(constB98)))) | (~v19(constB98)) | (~v22(constB98))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23931,plain,
% 7.82/5.99 ((~((~v19(constB98)) | (~v22(constB98)))) | (~v19(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23930, 23929])).
% 7.82/5.99 tff(23932,plain,
% 7.82/5.99 (~v19(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23931, 23922])).
% 7.82/5.99 tff(23933,plain,
% 7.82/5.99 ((~(v19(constB98) <=> (v20(constB98) | v21(constB98)))) | v19(constB98) | (~(v20(constB98) | v21(constB98)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23934,plain,
% 7.82/5.99 (~(v20(constB98) | v21(constB98))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23933, 23932, 23912])).
% 7.82/5.99 tff(23935,plain,
% 7.82/5.99 ((v20(constB98) | v21(constB98)) | (~v21(constB98))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23936,plain,
% 7.82/5.99 (~v21(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23935, 23934])).
% 7.82/5.99 tff(23937,plain,
% 7.82/5.99 ((~((~v21(constB98)) <=> v6(constB98))) | v21(constB98) | v6(constB98)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23938,plain,
% 7.82/5.99 (v6(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23937, 23936, 23910])).
% 7.82/5.99 tff(23939,plain,
% 7.82/5.99 ((~(v6(constB98) <=> v13(constB98))) | (~v6(constB98)) | v13(constB98)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23940,plain,
% 7.82/5.99 (v13(constB98)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23939, 23938, 23908])).
% 7.82/5.99 tff(23941,plain,
% 7.82/5.99 ((~(v13(constB98) <=> v9(constB97))) | (~v13(constB98)) | v9(constB97)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23942,plain,
% 7.82/5.99 (v9(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23941, 23940, 23906])).
% 7.82/5.99 tff(23943,plain,
% 7.82/5.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB97)) <=> v1(constB97))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23944,plain,
% 7.82/5.99 ((~v39(constB97)) <=> v1(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23943, 129])).
% 7.82/5.99 tff(23945,plain,
% 7.82/5.99 ((~((~v39(constB97)) <=> v1(constB97))) | v39(constB97) | v1(constB97)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23946,plain,
% 7.82/5.99 ((~((~v39(constB97)) <=> v1(constB97))) | v39(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23945, 746])).
% 7.82/5.99 tff(23947,plain,
% 7.82/5.99 (v39(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23946, 23944])).
% 7.82/5.99 tff(23948,plain,
% 7.82/5.99 ((~((~v39(constB97)) | (~v9(constB97)))) | (~v39(constB97)) | (~v9(constB97))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23949,plain,
% 7.82/5.99 ((~((~v39(constB97)) | (~v9(constB97)))) | (~v9(constB97))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23948, 23947])).
% 7.82/5.99 tff(23950,plain,
% 7.82/5.99 (~((~v39(constB97)) | (~v9(constB97)))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23949, 23942])).
% 7.82/5.99 tff(23951,plain,
% 7.82/5.99 ((~(v184(constB97) <=> (~((~v39(constB97)) | (~v9(constB97)))))) | v184(constB97) | ((~v39(constB97)) | (~v9(constB97)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23952,plain,
% 7.82/5.99 (v184(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23951, 23950, 23902])).
% 7.82/5.99 tff(23953,plain,
% 7.82/5.99 ((v184(constB97) | v26(constB97)) | (~v184(constB97))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23954,plain,
% 7.82/5.99 (v184(constB97) | v26(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23953, 23952])).
% 7.82/5.99 tff(23955,plain,
% 7.82/5.99 ((~(v183(constB97) <=> (v184(constB97) | v26(constB97)))) | v183(constB97) | (~(v184(constB97) | v26(constB97)))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23956,plain,
% 7.82/5.99 (v183(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23955, 23954, 23900])).
% 7.82/5.99 tff(23957,plain,
% 7.82/5.99 ((~((~v182(constB97)) <=> v183(constB97))) | (~v182(constB97)) | (~v183(constB97))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23958,plain,
% 7.82/5.99 (~v182(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23957, 23956, 23898])).
% 7.82/5.99 tff(23959,plain,
% 7.82/5.99 (((~v157(constB97)) | (~v182(constB97))) | v182(constB97)),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23960,plain,
% 7.82/5.99 ((~v157(constB97)) | (~v182(constB97))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23959, 23958])).
% 7.82/5.99 tff(23961,plain,
% 7.82/5.99 ((~(v181(constB97) <=> (~((~v157(constB97)) | (~v182(constB97)))))) | (~v181(constB97)) | (~((~v157(constB97)) | (~v182(constB97))))),
% 7.82/5.99 inference(tautology,[status(thm)],[])).
% 7.82/5.99 tff(23962,plain,
% 7.82/5.99 (~v181(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23961, 23960, 23896])).
% 7.82/5.99 tff(23963,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB97) <=> (~((~v186(constB97)) | (~v187(constB97)))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23964,plain,
% 7.82/5.99 (v185(constB97) <=> (~((~v186(constB97)) | (~v187(constB97))))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23963, 96])).
% 7.82/5.99 tff(23965,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB97) <=> (~((~v184(constB97)) | (~v159(constB97)))))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23966,plain,
% 7.82/5.99 (v187(constB97) <=> (~((~v184(constB97)) | (~v159(constB97))))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23965, 108])).
% 7.82/5.99 tff(23967,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB97) <=> v161(constB97))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23968,plain,
% 7.82/5.99 (v159(constB97) <=> v161(constB97)),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23967, 345])).
% 7.82/5.99 tff(23969,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB97) <=> (v145(constB97) | v165(constB97)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23970,plain,
% 7.82/5.99 (v164(constB97) <=> (v145(constB97) | v165(constB97))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23969, 357])).
% 7.82/5.99 tff(23971,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB97) <=> (v142(constB97) | v166(constB97)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23972,plain,
% 7.82/5.99 (v165(constB97) <=> (v142(constB97) | v166(constB97))),
% 7.82/5.99 inference(unit_resolution,[status(thm)],[23971, 369])).
% 7.82/5.99 tff(23973,plain,
% 7.82/5.99 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB97) <=> (v143(constB97) | v144(constB97)))),
% 7.82/5.99 inference(quant_inst,[status(thm)],[])).
% 7.82/5.99 tff(23974,plain,
% 7.82/5.99 (v142(constB97) <=> (v143(constB97) | v144(constB97))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[23973, 21792])).
% 7.82/6.00 tff(23975,plain,
% 7.82/6.00 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~((~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~((~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0)))))),
% 7.82/6.00 inference(rewrite,[status(thm)],[])).
% 7.82/6.00 tff(23976,plain,
% 7.82/6.00 ((v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2))))) <=> (v144(constB97) <=> (~((~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0))))),
% 7.82/6.00 inference(rewrite,[status(thm)],[])).
% 7.82/6.00 tff(23977,plain,
% 7.82/6.00 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~((~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0)))))),
% 7.82/6.00 inference(monotonicity,[status(thm)],[23976])).
% 7.82/6.00 tff(23978,plain,
% 7.82/6.00 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~((~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0)))))),
% 7.82/6.00 inference(transitivity,[status(thm)],[23977, 23975])).
% 7.82/6.00 tff(23979,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~(v88(constB97, bitIndex0) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)))))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(23980,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB97) <=> (~((~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0))))),
% 7.82/6.00 inference(modus_ponens,[status(thm)],[23979, 23978])).
% 7.82/6.00 tff(23981,plain,
% 7.82/6.00 (v144(constB97) <=> (~((~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0)))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[23980, 21807])).
% 7.82/6.00 tff(23982,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB97, bitIndex1)) <=> v90(constB97, bitIndex1)) | ((~v88(constB97, bitIndex2)) <=> v90(constB97, bitIndex2)) | ((~v88(constB97, bitIndex0)) <=> v90(constB97, bitIndex0))))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(23983,plain,
% 7.82/6.00 (~(((~v88(constB97, bitIndex1)) <=> v90(constB97, bitIndex1)) | ((~v88(constB97, bitIndex2)) <=> v90(constB97, bitIndex2)) | ((~v88(constB97, bitIndex0)) <=> v90(constB97, bitIndex0)))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[23982, 416])).
% 7.82/6.00 tff(23984,plain,
% 7.82/6.00 ((((~v88(constB97, bitIndex1)) <=> v90(constB97, bitIndex1)) | ((~v88(constB97, bitIndex2)) <=> v90(constB97, bitIndex2)) | ((~v88(constB97, bitIndex0)) <=> v90(constB97, bitIndex0))) | (~((~v88(constB97, bitIndex2)) <=> v90(constB97, bitIndex2)))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(23985,plain,
% 7.82/6.00 (~((~v88(constB97, bitIndex2)) <=> v90(constB97, bitIndex2))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[23984, 23983])).
% 7.82/6.00 tff(23986,plain,
% 7.82/6.00 (((~v88(constB97, bitIndex2)) <=> v90(constB97, bitIndex2)) | v88(constB97, bitIndex2) | (~v90(constB97, bitIndex2))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(23987,plain,
% 7.82/6.00 (v88(constB97, bitIndex2)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[23986, 11543, 23985])).
% 7.82/6.00 tff(23988,plain,
% 7.82/6.00 ((((~v88(constB97, bitIndex1)) <=> v90(constB97, bitIndex1)) | ((~v88(constB97, bitIndex2)) <=> v90(constB97, bitIndex2)) | ((~v88(constB97, bitIndex0)) <=> v90(constB97, bitIndex0))) | (~((~v88(constB97, bitIndex0)) <=> v90(constB97, bitIndex0)))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(23989,plain,
% 7.82/6.00 (~((~v88(constB97, bitIndex0)) <=> v90(constB97, bitIndex0))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[23988, 23983])).
% 7.82/6.00 tff(23990,plain,
% 7.82/6.00 (((~v88(constB97, bitIndex0)) <=> v90(constB97, bitIndex0)) | (~v88(constB97, bitIndex0)) | v90(constB97, bitIndex0)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(23991,plain,
% 7.82/6.00 (~v88(constB97, bitIndex0)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[23990, 11694, 23989])).
% 7.82/6.00 tff(23992,plain,
% 7.82/6.00 ((((~v88(constB97, bitIndex1)) <=> v90(constB97, bitIndex1)) | ((~v88(constB97, bitIndex2)) <=> v90(constB97, bitIndex2)) | ((~v88(constB97, bitIndex0)) <=> v90(constB97, bitIndex0))) | (~((~v88(constB97, bitIndex1)) <=> v90(constB97, bitIndex1)))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(23993,plain,
% 7.82/6.00 (~((~v88(constB97, bitIndex1)) <=> v90(constB97, bitIndex1))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[23992, 23983])).
% 7.82/6.00 tff(23994,plain,
% 7.82/6.00 (((~v88(constB97, bitIndex1)) <=> v90(constB97, bitIndex1)) | v88(constB97, bitIndex1) | (~v90(constB97, bitIndex1))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(23995,plain,
% 7.82/6.00 (v88(constB97, bitIndex1)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[23994, 11572, 23993])).
% 7.82/6.00 tff(23996,plain,
% 7.82/6.00 ((~((~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0))) | (~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(23997,plain,
% 7.82/6.00 (~((~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[23996, 23995, 23991, 23987])).
% 7.82/6.00 tff(23998,plain,
% 7.82/6.00 ((~(v144(constB97) <=> (~((~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0))))) | v144(constB97) | ((~v88(constB97, bitIndex1)) | (~v88(constB97, bitIndex2)) | v88(constB97, bitIndex0))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(23999,plain,
% 7.82/6.00 (v144(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[23998, 23997, 23981])).
% 7.82/6.00 tff(24000,plain,
% 7.82/6.00 ((v143(constB97) | v144(constB97)) | (~v144(constB97))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24001,plain,
% 7.82/6.00 (v143(constB97) | v144(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24000, 23999])).
% 7.82/6.00 tff(24002,plain,
% 7.82/6.00 ((~(v142(constB97) <=> (v143(constB97) | v144(constB97)))) | v142(constB97) | (~(v143(constB97) | v144(constB97)))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24003,plain,
% 7.82/6.00 (v142(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24002, 24001, 23974])).
% 7.82/6.00 tff(24004,plain,
% 7.82/6.00 ((v142(constB97) | v166(constB97)) | (~v142(constB97))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24005,plain,
% 7.82/6.00 (v142(constB97) | v166(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24004, 24003])).
% 7.82/6.00 tff(24006,plain,
% 7.82/6.00 ((~(v165(constB97) <=> (v142(constB97) | v166(constB97)))) | v165(constB97) | (~(v142(constB97) | v166(constB97)))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24007,plain,
% 7.82/6.00 ((~(v165(constB97) <=> (v142(constB97) | v166(constB97)))) | v165(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24006, 24005])).
% 7.82/6.00 tff(24008,plain,
% 7.82/6.00 (v165(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24007, 23972])).
% 7.82/6.00 tff(24009,plain,
% 7.82/6.00 ((v145(constB97) | v165(constB97)) | (~v165(constB97))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24010,plain,
% 7.82/6.00 (v145(constB97) | v165(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24009, 24008])).
% 7.82/6.00 tff(24011,plain,
% 7.82/6.00 ((~(v164(constB97) <=> (v145(constB97) | v165(constB97)))) | v164(constB97) | (~(v145(constB97) | v165(constB97)))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24012,plain,
% 7.82/6.00 (v164(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24011, 24010, 23970])).
% 7.82/6.00 tff(24013,plain,
% 7.82/6.00 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB97)) | (v161(constB97) <=> v168(constB97)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB97)) | (v161(constB97) <=> v168(constB97)))),
% 7.82/6.00 inference(rewrite,[status(thm)],[])).
% 7.82/6.00 tff(24014,plain,
% 7.82/6.00 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB97)) | (v161(constB97) <=> v168(constB97)))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24015,plain,
% 7.82/6.00 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB97)) | (v161(constB97) <=> v168(constB97))),
% 7.82/6.00 inference(modus_ponens,[status(thm)],[24014, 24013])).
% 7.82/6.00 tff(24016,plain,
% 7.82/6.00 ((~v164(constB97)) | (v161(constB97) <=> v168(constB97))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24015, 12128])).
% 7.82/6.00 tff(24017,plain,
% 7.82/6.00 (v161(constB97) <=> v168(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24016, 24012])).
% 7.82/6.00 tff(24018,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB97) <=> (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2))))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24019,plain,
% 7.82/6.00 (v139(constB97) <=> (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24018, 12146])).
% 7.82/6.00 tff(24020,plain,
% 7.82/6.00 ((v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)) | (~v88(constB97, bitIndex2))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24021,plain,
% 7.82/6.00 (v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24020, 23987])).
% 7.82/6.00 tff(24022,plain,
% 7.82/6.00 ((~(v139(constB97) <=> (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2))))) | (~v139(constB97)) | (~(v88(constB97, bitIndex0) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2)))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24023,plain,
% 7.82/6.00 (~v139(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24022, 24021, 24019])).
% 7.82/6.00 tff(24024,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB97) <=> (~(v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)))))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24025,plain,
% 7.82/6.00 (v140(constB97) <=> (~(v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0))))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24024, 12165])).
% 7.82/6.00 tff(24026,plain,
% 7.82/6.00 ((v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0))) | (~v88(constB97, bitIndex2))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24027,plain,
% 7.82/6.00 (v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24026, 23987])).
% 7.82/6.00 tff(24028,plain,
% 7.82/6.00 ((~(v140(constB97) <=> (~(v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)))))) | (~v140(constB97)) | (~(v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0))))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24029,plain,
% 7.82/6.00 (~v140(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24028, 24027, 24025])).
% 7.82/6.00 tff(24030,plain,
% 7.82/6.00 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v168(constB97)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB97) | v139(constB97) | (~v168(constB97)))),
% 7.82/6.00 inference(rewrite,[status(thm)],[])).
% 7.82/6.00 tff(24031,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB97) | v139(constB97) | (~v168(constB97)))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24032,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB97) | v139(constB97) | (~v168(constB97))),
% 7.82/6.00 inference(modus_ponens,[status(thm)],[24031, 24030])).
% 7.82/6.00 tff(24033,plain,
% 7.82/6.00 (v140(constB97) | v139(constB97) | (~v168(constB97))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24032, 12184])).
% 7.82/6.00 tff(24034,plain,
% 7.82/6.00 (~v168(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24033, 24029, 24023])).
% 7.82/6.00 tff(24035,plain,
% 7.82/6.00 ((~(v161(constB97) <=> v168(constB97))) | (~v161(constB97)) | v168(constB97)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24036,plain,
% 7.82/6.00 ((~(v161(constB97) <=> v168(constB97))) | (~v161(constB97))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24035, 24034])).
% 7.82/6.00 tff(24037,plain,
% 7.82/6.00 (~v161(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24036, 24017])).
% 7.82/6.00 tff(24038,plain,
% 7.82/6.00 ((~(v159(constB97) <=> v161(constB97))) | (~v159(constB97)) | v161(constB97)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24039,plain,
% 7.82/6.00 ((~(v159(constB97) <=> v161(constB97))) | (~v159(constB97))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24038, 24037])).
% 7.82/6.00 tff(24040,plain,
% 7.82/6.00 (~v159(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24039, 23968])).
% 7.82/6.00 tff(24041,plain,
% 7.82/6.00 (((~v184(constB97)) | (~v159(constB97))) | v159(constB97)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24042,plain,
% 7.82/6.00 ((~v184(constB97)) | (~v159(constB97))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24041, 24040])).
% 7.82/6.00 tff(24043,plain,
% 7.82/6.00 ((~(v187(constB97) <=> (~((~v184(constB97)) | (~v159(constB97)))))) | (~v187(constB97)) | (~((~v184(constB97)) | (~v159(constB97))))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24044,plain,
% 7.82/6.00 (~v187(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24043, 24042, 23966])).
% 7.82/6.00 tff(24045,plain,
% 7.82/6.00 (((~v186(constB97)) | (~v187(constB97))) | v187(constB97)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24046,plain,
% 7.82/6.00 ((~v186(constB97)) | (~v187(constB97))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24045, 24044])).
% 7.82/6.00 tff(24047,plain,
% 7.82/6.00 ((~(v185(constB97) <=> (~((~v186(constB97)) | (~v187(constB97)))))) | (~v185(constB97)) | (~((~v186(constB97)) | (~v187(constB97))))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24048,plain,
% 7.82/6.00 (~v185(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24047, 24046, 23964])).
% 7.82/6.00 tff(24049,plain,
% 7.82/6.00 ((~(v181(constB97) | v185(constB97))) | v181(constB97) | v185(constB97)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24050,plain,
% 7.82/6.00 (~(v181(constB97) | v185(constB97))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24049, 24048, 23962])).
% 7.82/6.00 tff(24051,plain,
% 7.82/6.00 ((~(v178(constB97) <=> (v181(constB97) | v185(constB97)))) | (~v178(constB97)) | (v181(constB97) | v185(constB97))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24052,plain,
% 7.82/6.00 (~v178(constB97)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24051, 24050, 23889])).
% 7.82/6.00 tff(24053,plain,
% 7.82/6.00 ((~(v180(constB98) <=> v178(constB97))) | (~v180(constB98)) | v178(constB97)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24054,plain,
% 7.82/6.00 (~v180(constB98)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24053, 24052, 23887])).
% 7.82/6.00 tff(24055,plain,
% 7.82/6.00 ((~(v157(constB98) <=> v180(constB98))) | (~v157(constB98)) | v180(constB98)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24056,plain,
% 7.82/6.00 (~v157(constB98)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24055, 24054, 23883])).
% 7.82/6.00 tff(24057,plain,
% 7.82/6.00 (((~v157(constB98)) | (~v182(constB98))) | v157(constB98)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24058,plain,
% 7.82/6.00 ((~v157(constB98)) | (~v182(constB98))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24057, 24056])).
% 7.82/6.00 tff(24059,plain,
% 7.82/6.00 ((~(v181(constB98) <=> (~((~v157(constB98)) | (~v182(constB98)))))) | (~v181(constB98)) | (~((~v157(constB98)) | (~v182(constB98))))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24060,plain,
% 7.82/6.00 (~v181(constB98)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24059, 24058, 23881])).
% 7.82/6.00 tff(24061,plain,
% 7.82/6.00 ((~(v181(constB98) | v185(constB98))) | v181(constB98) | v185(constB98)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24062,plain,
% 7.82/6.00 (~(v181(constB98) | v185(constB98))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24061, 24060, 23874])).
% 7.82/6.00 tff(24063,plain,
% 7.82/6.00 ((~(v178(constB98) <=> (v181(constB98) | v185(constB98)))) | (~v178(constB98)) | (v181(constB98) | v185(constB98))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24064,plain,
% 7.82/6.00 (~v178(constB98)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24063, 24062, 23849])).
% 7.82/6.00 tff(24065,plain,
% 7.82/6.00 ((~(v180(constB99) <=> v178(constB98))) | (~v180(constB99)) | v178(constB98)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24066,plain,
% 7.82/6.00 (~v180(constB99)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24065, 24064, 23847])).
% 7.82/6.00 tff(24067,plain,
% 7.82/6.00 ($false),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24066, 23843])).
% 7.82/6.00 tff(24068,plain,(~(constB99 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.82/6.00 tff(24069,assumption,(constB67 = VarCurr!0), introduced(assumption)).
% 7.82/6.00 tff(24070,plain,
% 7.82/6.00 (v180(constB67) <=> v180(VarCurr!0)),
% 7.82/6.00 inference(monotonicity,[status(thm)],[24069])).
% 7.82/6.00 tff(24071,plain,
% 7.82/6.00 (v180(VarCurr!0) <=> v180(constB67)),
% 7.82/6.00 inference(symmetry,[status(thm)],[24070])).
% 7.82/6.00 tff(24072,plain,
% 7.82/6.00 (v180(constB67)),
% 7.82/6.00 inference(modus_ponens,[status(thm)],[59, 24071])).
% 7.82/6.00 tff(24073,plain,
% 7.82/6.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB66, constB67)) | (v180(constB67) <=> v178(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB66, constB67)) | (v180(constB67) <=> v178(constB66)))),
% 7.82/6.00 inference(rewrite,[status(thm)],[])).
% 7.82/6.00 tff(24074,plain,
% 7.82/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB66, constB67)) | (v180(constB67) <=> v178(constB66)))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24075,plain,
% 7.82/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB66, constB67)) | (v180(constB67) <=> v178(constB66))),
% 7.82/6.00 inference(modus_ponens,[status(thm)],[24074, 24073])).
% 7.82/6.00 tff(24076,plain,
% 7.82/6.00 (v180(constB67) <=> v178(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24075, 1741, 70])).
% 7.82/6.00 tff(24077,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB66) <=> (v181(constB66) | v185(constB66)))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24078,plain,
% 7.82/6.00 (v178(constB66) <=> (v181(constB66) | v185(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24077, 84])).
% 7.82/6.00 tff(24079,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB66) <=> (~((~v186(constB66)) | (~v187(constB66)))))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24080,plain,
% 7.82/6.00 (v185(constB66) <=> (~((~v186(constB66)) | (~v187(constB66))))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24079, 96])).
% 7.82/6.00 tff(24081,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB66) <=> (~((~v184(constB66)) | (~v159(constB66)))))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24082,plain,
% 7.82/6.00 (v187(constB66) <=> (~((~v184(constB66)) | (~v159(constB66))))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24081, 108])).
% 7.82/6.00 tff(24083,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24084,plain,
% 7.82/6.00 (v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66))))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24083, 120])).
% 7.82/6.00 tff(24085,plain,
% 7.82/6.00 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB66)) <=> v1(constB66))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24086,plain,
% 7.82/6.00 ((~v39(constB66)) <=> v1(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24085, 129])).
% 7.82/6.00 tff(24087,plain,
% 7.82/6.00 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66)) | (~v1(constB66))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24088,plain,
% 7.82/6.00 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24087, 9173])).
% 7.82/6.00 tff(24089,plain,
% 7.82/6.00 (~v39(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24088, 24086])).
% 7.82/6.00 tff(24090,plain,
% 7.82/6.00 (((~v39(constB66)) | (~v9(constB66))) | v39(constB66)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24091,plain,
% 7.82/6.00 ((~v39(constB66)) | (~v9(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24090, 24089])).
% 7.82/6.00 tff(24092,plain,
% 7.82/6.00 ((~(v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v184(constB66)) | (~((~v39(constB66)) | (~v9(constB66))))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24093,plain,
% 7.82/6.00 ((~(v184(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v184(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24092, 24091])).
% 7.82/6.00 tff(24094,plain,
% 7.82/6.00 (~v184(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24093, 24084])).
% 7.82/6.00 tff(24095,plain,
% 7.82/6.00 (((~v184(constB66)) | (~v159(constB66))) | v184(constB66)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24096,plain,
% 7.82/6.00 ((~v184(constB66)) | (~v159(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24095, 24094])).
% 7.82/6.00 tff(24097,plain,
% 7.82/6.00 ((~(v187(constB66) <=> (~((~v184(constB66)) | (~v159(constB66)))))) | (~v187(constB66)) | (~((~v184(constB66)) | (~v159(constB66))))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24098,plain,
% 7.82/6.00 ((~(v187(constB66) <=> (~((~v184(constB66)) | (~v159(constB66)))))) | (~v187(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24097, 24096])).
% 7.82/6.00 tff(24099,plain,
% 7.82/6.00 (~v187(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24098, 24082])).
% 7.82/6.00 tff(24100,plain,
% 7.82/6.00 (((~v186(constB66)) | (~v187(constB66))) | v187(constB66)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24101,plain,
% 7.82/6.00 ((~v186(constB66)) | (~v187(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24100, 24099])).
% 7.82/6.00 tff(24102,plain,
% 7.82/6.00 ((~(v185(constB66) <=> (~((~v186(constB66)) | (~v187(constB66)))))) | (~v185(constB66)) | (~((~v186(constB66)) | (~v187(constB66))))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24103,plain,
% 7.82/6.00 (~v185(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24102, 24101, 24080])).
% 7.82/6.00 tff(24104,plain,
% 7.82/6.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66))))))),
% 7.82/6.00 inference(rewrite,[status(thm)],[])).
% 7.82/6.00 tff(24105,plain,
% 7.82/6.00 ((v181(constB66) <=> (~((~v182(constB66)) | (~v157(constB66))))) <=> (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66)))))),
% 7.82/6.00 inference(rewrite,[status(thm)],[])).
% 7.82/6.00 tff(24106,plain,
% 7.82/6.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v182(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66))))))),
% 7.82/6.00 inference(monotonicity,[status(thm)],[24105])).
% 7.82/6.00 tff(24107,plain,
% 7.82/6.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v182(constB66)) | (~v157(constB66)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66))))))),
% 7.82/6.00 inference(transitivity,[status(thm)],[24106, 24104])).
% 7.82/6.00 tff(24108,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v182(constB66)) | (~v157(constB66)))))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24109,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66)))))),
% 7.82/6.00 inference(modus_ponens,[status(thm)],[24108, 24107])).
% 7.82/6.00 tff(24110,plain,
% 7.82/6.00 (v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66))))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24109, 161])).
% 7.82/6.00 tff(24111,plain,
% 7.82/6.00 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB66) <=> v180(constB66))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24112,plain,
% 7.82/6.00 (v157(constB66) <=> v180(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24111, 13])).
% 7.82/6.00 tff(24113,plain,
% 7.82/6.00 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB65, constB66)) | (v180(constB66) <=> v178(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB65, constB66)) | (v180(constB66) <=> v178(constB65)))),
% 7.82/6.00 inference(rewrite,[status(thm)],[])).
% 7.82/6.00 tff(24114,plain,
% 7.82/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB65, constB66)) | (v180(constB66) <=> v178(constB65)))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24115,plain,
% 7.82/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB65, constB66)) | (v180(constB66) <=> v178(constB65))),
% 7.82/6.00 inference(modus_ponens,[status(thm)],[24114, 24113])).
% 7.82/6.00 tff(24116,plain,
% 7.82/6.00 (v180(constB66) <=> v178(constB65)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24115, 1777, 70])).
% 7.82/6.00 tff(24117,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB65) <=> (v181(constB65) | v185(constB65)))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24118,plain,
% 7.82/6.00 (v178(constB65) <=> (v181(constB65) | v185(constB65))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24117, 84])).
% 7.82/6.00 tff(24119,plain,
% 7.82/6.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65))))))),
% 7.82/6.00 inference(rewrite,[status(thm)],[])).
% 7.82/6.00 tff(24120,plain,
% 7.82/6.00 ((v181(constB65) <=> (~((~v182(constB65)) | (~v157(constB65))))) <=> (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65)))))),
% 7.82/6.00 inference(rewrite,[status(thm)],[])).
% 7.82/6.00 tff(24121,plain,
% 7.82/6.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v182(constB65)) | (~v157(constB65)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65))))))),
% 7.82/6.00 inference(monotonicity,[status(thm)],[24120])).
% 7.82/6.00 tff(24122,plain,
% 7.82/6.00 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v182(constB65)) | (~v157(constB65)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65))))))),
% 7.82/6.00 inference(transitivity,[status(thm)],[24121, 24119])).
% 7.82/6.00 tff(24123,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v182(constB65)) | (~v157(constB65)))))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24124,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65)))))),
% 7.82/6.00 inference(modus_ponens,[status(thm)],[24123, 24122])).
% 7.82/6.00 tff(24125,plain,
% 7.82/6.00 (v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65))))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24124, 161])).
% 7.82/6.00 tff(24126,plain,
% 7.82/6.00 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB65)) <=> v183(constB65))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24127,plain,
% 7.82/6.00 ((~v182(constB65)) <=> v183(constB65)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24126, 193])).
% 7.82/6.00 tff(24128,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB65) <=> (v184(constB65) | v26(constB65)))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24129,plain,
% 7.82/6.00 (v183(constB65) <=> (v184(constB65) | v26(constB65))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24128, 202])).
% 7.82/6.00 tff(24130,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24131,plain,
% 7.82/6.00 (v184(constB65) <=> (~((~v39(constB65)) | (~v9(constB65))))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24130, 120])).
% 7.82/6.00 tff(24132,plain,
% 7.82/6.00 (((~![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)))),
% 7.82/6.00 inference(rewrite,[status(thm)],[])).
% 7.82/6.00 tff(24133,plain,
% 7.82/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24134,plain,
% 7.82/6.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65))),
% 7.82/6.00 inference(modus_ponens,[status(thm)],[24133, 24132])).
% 7.82/6.00 tff(24135,plain,
% 7.82/6.00 (v13(constB66) <=> v9(constB65)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24134, 1777, 216])).
% 7.82/6.00 tff(24136,plain,
% 7.82/6.00 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB66) <=> v13(constB66))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24137,plain,
% 7.82/6.00 (v6(constB66) <=> v13(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24136, 230])).
% 7.82/6.00 tff(24138,plain,
% 7.82/6.00 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB66)) <=> v6(constB66))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24139,plain,
% 7.82/6.00 ((~v21(constB66)) <=> v6(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24138, 239])).
% 7.82/6.00 tff(24140,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB66) <=> (v20(constB66) | v21(constB66)))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24141,plain,
% 7.82/6.00 (v19(constB66) <=> (v20(constB66) | v21(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24140, 248])).
% 7.82/6.00 tff(24142,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24143,plain,
% 7.82/6.00 (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66))))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24142, 260])).
% 7.82/6.00 tff(24144,plain,
% 7.82/6.00 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB66)) <=> v18(constB66))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24145,plain,
% 7.82/6.00 ((~v4(constB66)) <=> v18(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24144, 269])).
% 7.82/6.00 tff(24146,plain,
% 7.82/6.00 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB66)),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24147,plain,
% 7.82/6.00 (v4(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24146, 278])).
% 7.82/6.00 tff(24148,plain,
% 7.82/6.00 ((~((~v4(constB66)) <=> v18(constB66))) | (~v4(constB66)) | (~v18(constB66))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24149,plain,
% 7.82/6.00 (~v18(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24148, 24147, 24145])).
% 7.82/6.00 tff(24150,plain,
% 7.82/6.00 ((~(v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))) | v18(constB66) | ((~v19(constB66)) | (~v22(constB66)))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24151,plain,
% 7.82/6.00 ((~v19(constB66)) | (~v22(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24150, 24149, 24143])).
% 7.82/6.00 tff(24152,plain,
% 7.82/6.00 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB66) <=> (v1(constB66) | v6(constB66)))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24153,plain,
% 7.82/6.00 (v22(constB66) <=> (v1(constB66) | v6(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24152, 291])).
% 7.82/6.00 tff(24154,plain,
% 7.82/6.00 ((v1(constB66) | v6(constB66)) | (~v1(constB66))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24155,plain,
% 7.82/6.00 (v1(constB66) | v6(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24154, 9173])).
% 7.82/6.00 tff(24156,plain,
% 7.82/6.00 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66) | (~(v1(constB66) | v6(constB66)))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24157,plain,
% 7.82/6.00 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24156, 24155])).
% 7.82/6.00 tff(24158,plain,
% 7.82/6.00 (v22(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24157, 24153])).
% 7.82/6.00 tff(24159,plain,
% 7.82/6.00 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66)) | (~v22(constB66))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24160,plain,
% 7.82/6.00 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24159, 24158])).
% 7.82/6.00 tff(24161,plain,
% 7.82/6.00 (~v19(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24160, 24151])).
% 7.82/6.00 tff(24162,plain,
% 7.82/6.00 ((~(v19(constB66) <=> (v20(constB66) | v21(constB66)))) | v19(constB66) | (~(v20(constB66) | v21(constB66)))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24163,plain,
% 7.82/6.00 (~(v20(constB66) | v21(constB66))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24162, 24161, 24141])).
% 7.82/6.00 tff(24164,plain,
% 7.82/6.00 ((v20(constB66) | v21(constB66)) | (~v21(constB66))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24165,plain,
% 7.82/6.00 (~v21(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24164, 24163])).
% 7.82/6.00 tff(24166,plain,
% 7.82/6.00 ((~((~v21(constB66)) <=> v6(constB66))) | v21(constB66) | v6(constB66)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24167,plain,
% 7.82/6.00 (v6(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24166, 24165, 24139])).
% 7.82/6.00 tff(24168,plain,
% 7.82/6.00 ((~(v6(constB66) <=> v13(constB66))) | (~v6(constB66)) | v13(constB66)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24169,plain,
% 7.82/6.00 (v13(constB66)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24168, 24167, 24137])).
% 7.82/6.00 tff(24170,plain,
% 7.82/6.00 ((~(v13(constB66) <=> v9(constB65))) | (~v13(constB66)) | v9(constB65)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24171,plain,
% 7.82/6.00 (v9(constB65)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24170, 24169, 24135])).
% 7.82/6.00 tff(24172,plain,
% 7.82/6.00 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB65)) <=> v1(constB65))),
% 7.82/6.00 inference(quant_inst,[status(thm)],[])).
% 7.82/6.00 tff(24173,plain,
% 7.82/6.00 ((~v39(constB65)) <=> v1(constB65)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24172, 129])).
% 7.82/6.00 tff(24174,plain,
% 7.82/6.00 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65) | v1(constB65)),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24175,plain,
% 7.82/6.00 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24174, 1821])).
% 7.82/6.00 tff(24176,plain,
% 7.82/6.00 (v39(constB65)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24175, 24173])).
% 7.82/6.00 tff(24177,plain,
% 7.82/6.00 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v39(constB65)) | (~v9(constB65))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24178,plain,
% 7.82/6.00 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v9(constB65))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24177, 24176])).
% 7.82/6.00 tff(24179,plain,
% 7.82/6.00 (~((~v39(constB65)) | (~v9(constB65)))),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24178, 24171])).
% 7.82/6.00 tff(24180,plain,
% 7.82/6.00 ((~(v184(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))) | v184(constB65) | ((~v39(constB65)) | (~v9(constB65)))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.00 tff(24181,plain,
% 7.82/6.00 (v184(constB65)),
% 7.82/6.00 inference(unit_resolution,[status(thm)],[24180, 24179, 24131])).
% 7.82/6.00 tff(24182,plain,
% 7.82/6.00 ((v184(constB65) | v26(constB65)) | (~v184(constB65))),
% 7.82/6.00 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24183,plain,
% 7.82/6.01 (v184(constB65) | v26(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24182, 24181])).
% 7.82/6.01 tff(24184,plain,
% 7.82/6.01 ((~(v183(constB65) <=> (v184(constB65) | v26(constB65)))) | v183(constB65) | (~(v184(constB65) | v26(constB65)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24185,plain,
% 7.82/6.01 (v183(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24184, 24183, 24129])).
% 7.82/6.01 tff(24186,plain,
% 7.82/6.01 ((~((~v182(constB65)) <=> v183(constB65))) | (~v182(constB65)) | (~v183(constB65))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24187,plain,
% 7.82/6.01 (~v182(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24186, 24185, 24127])).
% 7.82/6.01 tff(24188,plain,
% 7.82/6.01 (((~v157(constB65)) | (~v182(constB65))) | v182(constB65)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24189,plain,
% 7.82/6.01 ((~v157(constB65)) | (~v182(constB65))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24188, 24187])).
% 7.82/6.01 tff(24190,plain,
% 7.82/6.01 ((~(v181(constB65) <=> (~((~v157(constB65)) | (~v182(constB65)))))) | (~v181(constB65)) | (~((~v157(constB65)) | (~v182(constB65))))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24191,plain,
% 7.82/6.01 (~v181(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24190, 24189, 24125])).
% 7.82/6.01 tff(24192,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB65) <=> (~((~v186(constB65)) | (~v187(constB65)))))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24193,plain,
% 7.82/6.01 (v185(constB65) <=> (~((~v186(constB65)) | (~v187(constB65))))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24192, 96])).
% 7.82/6.01 tff(24194,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB65) <=> (~((~v184(constB65)) | (~v159(constB65)))))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24195,plain,
% 7.82/6.01 (v187(constB65) <=> (~((~v184(constB65)) | (~v159(constB65))))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24194, 108])).
% 7.82/6.01 tff(24196,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB65) <=> v161(constB65))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24197,plain,
% 7.82/6.01 (v159(constB65) <=> v161(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24196, 345])).
% 7.82/6.01 tff(24198,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB65) <=> (v145(constB65) | v165(constB65)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24199,plain,
% 7.82/6.01 (v164(constB65) <=> (v145(constB65) | v165(constB65))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24198, 357])).
% 7.82/6.01 tff(24200,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB65) <=> (v142(constB65) | v166(constB65)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24201,plain,
% 7.82/6.01 (v165(constB65) <=> (v142(constB65) | v166(constB65))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24200, 369])).
% 7.82/6.01 tff(24202,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB65) <=> (v143(constB65) | v144(constB65)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24203,plain,
% 7.82/6.01 (v142(constB65) <=> (v143(constB65) | v144(constB65))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24202, 21792])).
% 7.82/6.01 tff(24204,plain,
% 7.82/6.01 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0)))))),
% 7.82/6.01 inference(rewrite,[status(thm)],[])).
% 7.82/6.01 tff(24205,plain,
% 7.82/6.01 ((v143(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1))))) <=> (v143(constB65) <=> (~((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0))))),
% 7.82/6.01 inference(rewrite,[status(thm)],[])).
% 7.82/6.01 tff(24206,plain,
% 7.82/6.01 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0)))))),
% 7.82/6.01 inference(monotonicity,[status(thm)],[24205])).
% 7.82/6.01 tff(24207,plain,
% 7.82/6.01 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0)))))),
% 7.82/6.01 inference(transitivity,[status(thm)],[24206, 24204])).
% 7.82/6.01 tff(24208,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex1)))))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24209,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB65) <=> (~((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0))))),
% 7.82/6.01 inference(modus_ponens,[status(thm)],[24208, 24207])).
% 7.82/6.01 tff(24210,plain,
% 7.82/6.01 (v143(constB65) <=> (~((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0)))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24209, 23745])).
% 7.82/6.01 tff(24211,plain,
% 7.82/6.01 ((~![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))))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24212,plain,
% 7.82/6.01 (~(((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)) | ((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)) | ((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0)))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24211, 416])).
% 7.82/6.01 tff(24213,plain,
% 7.82/6.01 ((((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)) | ((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)) | ((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0))) | (~((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24214,plain,
% 7.82/6.01 (~((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24213, 24212])).
% 7.82/6.01 tff(24215,plain,
% 7.82/6.01 (((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)) | (~v88(constB65, bitIndex2)) | v90(constB65, bitIndex2)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24216,plain,
% 7.82/6.01 (~v88(constB65, bitIndex2)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24215, 9092, 24214])).
% 7.82/6.01 tff(24217,plain,
% 7.82/6.01 ((((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)) | ((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)) | ((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0))) | (~((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24218,plain,
% 7.82/6.01 (~((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24217, 24212])).
% 7.82/6.01 tff(24219,plain,
% 7.82/6.01 (((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0)) | (~v88(constB65, bitIndex0)) | v90(constB65, bitIndex0)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24220,plain,
% 7.82/6.01 (~v88(constB65, bitIndex0)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24219, 9110, 24218])).
% 7.82/6.01 tff(24221,plain,
% 7.82/6.01 ((((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)) | ((~v88(constB65, bitIndex2)) <=> v90(constB65, bitIndex2)) | ((~v88(constB65, bitIndex0)) <=> v90(constB65, bitIndex0))) | (~((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24222,plain,
% 7.82/6.01 (~((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24221, 24212])).
% 7.82/6.01 tff(24223,plain,
% 7.82/6.01 (((~v88(constB65, bitIndex1)) <=> v90(constB65, bitIndex1)) | v88(constB65, bitIndex1) | (~v90(constB65, bitIndex1))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24224,plain,
% 7.82/6.01 (v88(constB65, bitIndex1)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24223, 9128, 24222])).
% 7.82/6.01 tff(24225,plain,
% 7.82/6.01 ((~((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0))) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24226,plain,
% 7.82/6.01 (~((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24225, 24224, 24220, 24216])).
% 7.82/6.01 tff(24227,plain,
% 7.82/6.01 ((~(v143(constB65) <=> (~((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0))))) | v143(constB65) | ((~v88(constB65, bitIndex1)) | v88(constB65, bitIndex2) | v88(constB65, bitIndex0))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24228,plain,
% 7.82/6.01 (v143(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24227, 24226, 24210])).
% 7.82/6.01 tff(24229,plain,
% 7.82/6.01 ((v143(constB65) | v144(constB65)) | (~v143(constB65))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24230,plain,
% 7.82/6.01 (v143(constB65) | v144(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24229, 24228])).
% 7.82/6.01 tff(24231,plain,
% 7.82/6.01 ((~(v142(constB65) <=> (v143(constB65) | v144(constB65)))) | v142(constB65) | (~(v143(constB65) | v144(constB65)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24232,plain,
% 7.82/6.01 (v142(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24231, 24230, 24203])).
% 7.82/6.01 tff(24233,plain,
% 7.82/6.01 ((v142(constB65) | v166(constB65)) | (~v142(constB65))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24234,plain,
% 7.82/6.01 (v142(constB65) | v166(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24233, 24232])).
% 7.82/6.01 tff(24235,plain,
% 7.82/6.01 ((~(v165(constB65) <=> (v142(constB65) | v166(constB65)))) | v165(constB65) | (~(v142(constB65) | v166(constB65)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24236,plain,
% 7.82/6.01 ((~(v165(constB65) <=> (v142(constB65) | v166(constB65)))) | v165(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24235, 24234])).
% 7.82/6.01 tff(24237,plain,
% 7.82/6.01 (v165(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24236, 24201])).
% 7.82/6.01 tff(24238,plain,
% 7.82/6.01 ((v145(constB65) | v165(constB65)) | (~v165(constB65))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24239,plain,
% 7.82/6.01 (v145(constB65) | v165(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24238, 24237])).
% 7.82/6.01 tff(24240,plain,
% 7.82/6.01 ((~(v164(constB65) <=> (v145(constB65) | v165(constB65)))) | v164(constB65) | (~(v145(constB65) | v165(constB65)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24241,plain,
% 7.82/6.01 (v164(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24240, 24239, 24199])).
% 7.82/6.01 tff(24242,plain,
% 7.82/6.01 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB65)) | (v161(constB65) <=> v168(constB65)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB65)) | (v161(constB65) <=> v168(constB65)))),
% 7.82/6.01 inference(rewrite,[status(thm)],[])).
% 7.82/6.01 tff(24243,plain,
% 7.82/6.01 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB65)) | (v161(constB65) <=> v168(constB65)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24244,plain,
% 7.82/6.01 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB65)) | (v161(constB65) <=> v168(constB65))),
% 7.82/6.01 inference(modus_ponens,[status(thm)],[24243, 24242])).
% 7.82/6.01 tff(24245,plain,
% 7.82/6.01 ((~v164(constB65)) | (v161(constB65) <=> v168(constB65))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24244, 12128])).
% 7.82/6.01 tff(24246,plain,
% 7.82/6.01 (v161(constB65) <=> v168(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24245, 24241])).
% 7.82/6.01 tff(24247,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2))))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24248,plain,
% 7.82/6.01 (v139(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24247, 12146])).
% 7.82/6.01 tff(24249,plain,
% 7.82/6.01 ((v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24250,plain,
% 7.82/6.01 (v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24249, 24224])).
% 7.82/6.01 tff(24251,plain,
% 7.82/6.01 ((~(v139(constB65) <=> (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2))))) | (~v139(constB65)) | (~(v88(constB65, bitIndex0) | v88(constB65, bitIndex1) | v88(constB65, bitIndex2)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24252,plain,
% 7.82/6.01 (~v139(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24251, 24250, 24248])).
% 7.82/6.01 tff(24253,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB65) <=> (~(v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0)))))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24254,plain,
% 7.82/6.01 (v140(constB65) <=> (~(v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0))))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24253, 12165])).
% 7.82/6.01 tff(24255,plain,
% 7.82/6.01 ((v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0))) | (~v88(constB65, bitIndex1))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24256,plain,
% 7.82/6.01 (v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24255, 24224])).
% 7.82/6.01 tff(24257,plain,
% 7.82/6.01 ((~(v140(constB65) <=> (~(v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0)))))) | (~v140(constB65)) | (~(v88(constB65, bitIndex1) | v88(constB65, bitIndex2) | (~v88(constB65, bitIndex0))))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24258,plain,
% 7.82/6.01 (~v140(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24257, 24256, 24254])).
% 7.82/6.01 tff(24259,plain,
% 7.82/6.01 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v168(constB65)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB65) | v139(constB65) | (~v168(constB65)))),
% 7.82/6.01 inference(rewrite,[status(thm)],[])).
% 7.82/6.01 tff(24260,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v168(constB65)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24261,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB65) | v139(constB65) | (~v168(constB65))),
% 7.82/6.01 inference(modus_ponens,[status(thm)],[24260, 24259])).
% 7.82/6.01 tff(24262,plain,
% 7.82/6.01 (v140(constB65) | v139(constB65) | (~v168(constB65))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24261, 12184])).
% 7.82/6.01 tff(24263,plain,
% 7.82/6.01 (~v168(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24262, 24258, 24252])).
% 7.82/6.01 tff(24264,plain,
% 7.82/6.01 ((~(v161(constB65) <=> v168(constB65))) | (~v161(constB65)) | v168(constB65)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24265,plain,
% 7.82/6.01 ((~(v161(constB65) <=> v168(constB65))) | (~v161(constB65))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24264, 24263])).
% 7.82/6.01 tff(24266,plain,
% 7.82/6.01 (~v161(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24265, 24246])).
% 7.82/6.01 tff(24267,plain,
% 7.82/6.01 ((~(v159(constB65) <=> v161(constB65))) | (~v159(constB65)) | v161(constB65)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24268,plain,
% 7.82/6.01 ((~(v159(constB65) <=> v161(constB65))) | (~v159(constB65))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24267, 24266])).
% 7.82/6.01 tff(24269,plain,
% 7.82/6.01 (~v159(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24268, 24197])).
% 7.82/6.01 tff(24270,plain,
% 7.82/6.01 (((~v184(constB65)) | (~v159(constB65))) | v159(constB65)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24271,plain,
% 7.82/6.01 ((~v184(constB65)) | (~v159(constB65))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24270, 24269])).
% 7.82/6.01 tff(24272,plain,
% 7.82/6.01 ((~(v187(constB65) <=> (~((~v184(constB65)) | (~v159(constB65)))))) | (~v187(constB65)) | (~((~v184(constB65)) | (~v159(constB65))))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24273,plain,
% 7.82/6.01 (~v187(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24272, 24271, 24195])).
% 7.82/6.01 tff(24274,plain,
% 7.82/6.01 (((~v186(constB65)) | (~v187(constB65))) | v187(constB65)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24275,plain,
% 7.82/6.01 ((~v186(constB65)) | (~v187(constB65))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24274, 24273])).
% 7.82/6.01 tff(24276,plain,
% 7.82/6.01 ((~(v185(constB65) <=> (~((~v186(constB65)) | (~v187(constB65)))))) | (~v185(constB65)) | (~((~v186(constB65)) | (~v187(constB65))))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24277,plain,
% 7.82/6.01 (~v185(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24276, 24275, 24193])).
% 7.82/6.01 tff(24278,plain,
% 7.82/6.01 ((~(v181(constB65) | v185(constB65))) | v181(constB65) | v185(constB65)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24279,plain,
% 7.82/6.01 (~(v181(constB65) | v185(constB65))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24278, 24277, 24191])).
% 7.82/6.01 tff(24280,plain,
% 7.82/6.01 ((~(v178(constB65) <=> (v181(constB65) | v185(constB65)))) | (~v178(constB65)) | (v181(constB65) | v185(constB65))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24281,plain,
% 7.82/6.01 (~v178(constB65)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24280, 24279, 24118])).
% 7.82/6.01 tff(24282,plain,
% 7.82/6.01 ((~(v180(constB66) <=> v178(constB65))) | (~v180(constB66)) | v178(constB65)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24283,plain,
% 7.82/6.01 (~v180(constB66)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24282, 24281, 24116])).
% 7.82/6.01 tff(24284,plain,
% 7.82/6.01 ((~(v157(constB66) <=> v180(constB66))) | (~v157(constB66)) | v180(constB66)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24285,plain,
% 7.82/6.01 (~v157(constB66)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24284, 24283, 24112])).
% 7.82/6.01 tff(24286,plain,
% 7.82/6.01 (((~v157(constB66)) | (~v182(constB66))) | v157(constB66)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24287,plain,
% 7.82/6.01 ((~v157(constB66)) | (~v182(constB66))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24286, 24285])).
% 7.82/6.01 tff(24288,plain,
% 7.82/6.01 ((~(v181(constB66) <=> (~((~v157(constB66)) | (~v182(constB66)))))) | (~v181(constB66)) | (~((~v157(constB66)) | (~v182(constB66))))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24289,plain,
% 7.82/6.01 (~v181(constB66)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24288, 24287, 24110])).
% 7.82/6.01 tff(24290,plain,
% 7.82/6.01 ((~(v181(constB66) | v185(constB66))) | v181(constB66) | v185(constB66)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24291,plain,
% 7.82/6.01 (~(v181(constB66) | v185(constB66))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24290, 24289, 24103])).
% 7.82/6.01 tff(24292,plain,
% 7.82/6.01 ((~(v178(constB66) <=> (v181(constB66) | v185(constB66)))) | (~v178(constB66)) | (v181(constB66) | v185(constB66))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24293,plain,
% 7.82/6.01 (~v178(constB66)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24292, 24291, 24078])).
% 7.82/6.01 tff(24294,plain,
% 7.82/6.01 ((~(v180(constB67) <=> v178(constB66))) | (~v180(constB67)) | v178(constB66)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24295,plain,
% 7.82/6.01 (~v180(constB67)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24294, 24293, 24076])).
% 7.82/6.01 tff(24296,plain,
% 7.82/6.01 ($false),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24295, 24072])).
% 7.82/6.01 tff(24297,plain,(~(constB67 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.82/6.01 tff(24298,assumption,(constB185 = VarCurr!0), introduced(assumption)).
% 7.82/6.01 tff(24299,plain,
% 7.82/6.01 (v86(constB185) <=> v86(VarCurr!0)),
% 7.82/6.01 inference(monotonicity,[status(thm)],[24298])).
% 7.82/6.01 tff(24300,plain,
% 7.82/6.01 (v86(VarCurr!0) <=> v86(constB185)),
% 7.82/6.01 inference(symmetry,[status(thm)],[24299])).
% 7.82/6.01 tff(24301,plain,
% 7.82/6.01 ((~v86(VarCurr!0)) <=> (~v86(constB185))),
% 7.82/6.01 inference(monotonicity,[status(thm)],[24300])).
% 7.82/6.01 tff(24302,plain,
% 7.82/6.01 (~v86(constB185)),
% 7.82/6.01 inference(modus_ponens,[status(thm)],[21766, 24301])).
% 7.82/6.01 tff(24303,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB185) <=> (v136(constB185) | v145(constB185)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24304,plain,
% 7.82/6.01 (v135(constB185) <=> (v136(constB185) | v145(constB185))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24303, 21774])).
% 7.82/6.01 tff(24305,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB185) <=> (v137(constB185) | v142(constB185)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24306,plain,
% 7.82/6.01 (v136(constB185) <=> (v137(constB185) | v142(constB185))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24305, 21783])).
% 7.82/6.01 tff(24307,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB185) <=> (v143(constB185) | v144(constB185)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24308,plain,
% 7.82/6.01 (v142(constB185) <=> (v143(constB185) | v144(constB185))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24307, 21792])).
% 7.82/6.01 tff(24309,plain,
% 7.82/6.01 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~((~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~((~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0)))))),
% 7.82/6.01 inference(rewrite,[status(thm)],[])).
% 7.82/6.01 tff(24310,plain,
% 7.82/6.01 ((v143(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1))))) <=> (v143(constB185) <=> (~((~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0))))),
% 7.82/6.01 inference(rewrite,[status(thm)],[])).
% 7.82/6.01 tff(24311,plain,
% 7.82/6.01 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~((~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0)))))),
% 7.82/6.01 inference(monotonicity,[status(thm)],[24310])).
% 7.82/6.01 tff(24312,plain,
% 7.82/6.01 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~((~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0)))))),
% 7.82/6.01 inference(transitivity,[status(thm)],[24311, 24309])).
% 7.82/6.01 tff(24313,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex1)))))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24314,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB185) <=> (~((~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0))))),
% 7.82/6.01 inference(modus_ponens,[status(thm)],[24313, 24312])).
% 7.82/6.01 tff(24315,plain,
% 7.82/6.01 (v143(constB185) <=> (~((~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0)))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24314, 23745])).
% 7.82/6.01 tff(24316,plain,
% 7.82/6.01 ((~![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))))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24317,plain,
% 7.82/6.01 (~(((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)) | ((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)) | ((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0)))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24316, 416])).
% 7.82/6.01 tff(24318,plain,
% 7.82/6.01 ((((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)) | ((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)) | ((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0))) | (~((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24319,plain,
% 7.82/6.01 (~((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24318, 24317])).
% 7.82/6.01 tff(24320,plain,
% 7.82/6.01 (((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)) | (~v88(constB185, bitIndex2)) | v90(constB185, bitIndex2)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24321,plain,
% 7.82/6.01 (~v88(constB185, bitIndex2)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24320, 21422, 24319])).
% 7.82/6.01 tff(24322,plain,
% 7.82/6.01 ((((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)) | ((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)) | ((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0))) | (~((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24323,plain,
% 7.82/6.01 (~((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24322, 24317])).
% 7.82/6.01 tff(24324,plain,
% 7.82/6.01 (((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0)) | (~v88(constB185, bitIndex0)) | v90(constB185, bitIndex0)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24325,plain,
% 7.82/6.01 (~v88(constB185, bitIndex0)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24324, 21440, 24323])).
% 7.82/6.01 tff(24326,plain,
% 7.82/6.01 ((((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)) | ((~v88(constB185, bitIndex2)) <=> v90(constB185, bitIndex2)) | ((~v88(constB185, bitIndex0)) <=> v90(constB185, bitIndex0))) | (~((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24327,plain,
% 7.82/6.01 (~((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24326, 24317])).
% 7.82/6.01 tff(24328,plain,
% 7.82/6.01 (((~v88(constB185, bitIndex1)) <=> v90(constB185, bitIndex1)) | v88(constB185, bitIndex1) | (~v90(constB185, bitIndex1))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24329,plain,
% 7.82/6.01 (v88(constB185, bitIndex1)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24328, 21458, 24327])).
% 7.82/6.01 tff(24330,plain,
% 7.82/6.01 ((~((~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0))) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24331,plain,
% 7.82/6.01 (~((~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24330, 24329, 24325, 24321])).
% 7.82/6.01 tff(24332,plain,
% 7.82/6.01 ((~(v143(constB185) <=> (~((~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0))))) | v143(constB185) | ((~v88(constB185, bitIndex1)) | v88(constB185, bitIndex2) | v88(constB185, bitIndex0))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24333,plain,
% 7.82/6.01 (v143(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24332, 24331, 24315])).
% 7.82/6.01 tff(24334,plain,
% 7.82/6.01 ((v143(constB185) | v144(constB185)) | (~v143(constB185))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24335,plain,
% 7.82/6.01 (v143(constB185) | v144(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24334, 24333])).
% 7.82/6.01 tff(24336,plain,
% 7.82/6.01 ((~(v142(constB185) <=> (v143(constB185) | v144(constB185)))) | v142(constB185) | (~(v143(constB185) | v144(constB185)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24337,plain,
% 7.82/6.01 (v142(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24336, 24335, 24308])).
% 7.82/6.01 tff(24338,plain,
% 7.82/6.01 ((v137(constB185) | v142(constB185)) | (~v142(constB185))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24339,plain,
% 7.82/6.01 (v137(constB185) | v142(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24338, 24337])).
% 7.82/6.01 tff(24340,plain,
% 7.82/6.01 ((~(v136(constB185) <=> (v137(constB185) | v142(constB185)))) | v136(constB185) | (~(v137(constB185) | v142(constB185)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24341,plain,
% 7.82/6.01 ((~(v136(constB185) <=> (v137(constB185) | v142(constB185)))) | v136(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24340, 24339])).
% 7.82/6.01 tff(24342,plain,
% 7.82/6.01 (v136(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24341, 24306])).
% 7.82/6.01 tff(24343,plain,
% 7.82/6.01 ((v136(constB185) | v145(constB185)) | (~v136(constB185))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24344,plain,
% 7.82/6.01 (v136(constB185) | v145(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24343, 24342])).
% 7.82/6.01 tff(24345,plain,
% 7.82/6.01 ((~(v135(constB185) <=> (v136(constB185) | v145(constB185)))) | v135(constB185) | (~(v136(constB185) | v145(constB185)))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24346,plain,
% 7.82/6.01 (v135(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24345, 24344, 24304])).
% 7.82/6.01 tff(24347,plain,
% 7.82/6.01 (((~![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)))),
% 7.82/6.01 inference(rewrite,[status(thm)],[])).
% 7.82/6.01 tff(24348,plain,
% 7.82/6.01 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB185)) | (v86(constB185) <=> v148(constB185)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24349,plain,
% 7.82/6.01 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB185)) | (v86(constB185) <=> v148(constB185))),
% 7.82/6.01 inference(modus_ponens,[status(thm)],[24348, 24347])).
% 7.82/6.01 tff(24350,plain,
% 7.82/6.01 (v86(constB185) <=> v148(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24349, 21855, 24346])).
% 7.82/6.01 tff(24351,plain,
% 7.82/6.01 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB185) | (~v142(constB185)))),
% 7.82/6.01 inference(rewrite,[status(thm)],[])).
% 7.82/6.01 tff(24352,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB185) | (~v142(constB185)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24353,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB185) | (~v142(constB185))),
% 7.82/6.01 inference(modus_ponens,[status(thm)],[24352, 24351])).
% 7.82/6.01 tff(24354,plain,
% 7.82/6.01 (v148(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24353, 21869, 24337])).
% 7.82/6.01 tff(24355,plain,
% 7.82/6.01 ((~(v86(constB185) <=> v148(constB185))) | v86(constB185) | (~v148(constB185))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24356,plain,
% 7.82/6.01 ((~(v86(constB185) <=> v148(constB185))) | v86(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24355, 24354])).
% 7.82/6.01 tff(24357,plain,
% 7.82/6.01 (v86(constB185)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24356, 24350])).
% 7.82/6.01 tff(24358,plain,
% 7.82/6.01 ($false),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24357, 24302])).
% 7.82/6.01 tff(24359,plain,(~(constB185 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.82/6.01 tff(24360,assumption,(constB159 = VarCurr!0), introduced(assumption)).
% 7.82/6.01 tff(24361,plain,
% 7.82/6.01 (v180(constB159) <=> v180(VarCurr!0)),
% 7.82/6.01 inference(monotonicity,[status(thm)],[24360])).
% 7.82/6.01 tff(24362,plain,
% 7.82/6.01 (v180(VarCurr!0) <=> v180(constB159)),
% 7.82/6.01 inference(symmetry,[status(thm)],[24361])).
% 7.82/6.01 tff(24363,plain,
% 7.82/6.01 (v180(constB159)),
% 7.82/6.01 inference(modus_ponens,[status(thm)],[59, 24362])).
% 7.82/6.01 tff(24364,plain,
% 7.82/6.01 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB158, constB159)) | (v180(constB159) <=> v178(constB158)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB158, constB159)) | (v180(constB159) <=> v178(constB158)))),
% 7.82/6.01 inference(rewrite,[status(thm)],[])).
% 7.82/6.01 tff(24365,plain,
% 7.82/6.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB158, constB159)) | (v180(constB159) <=> v178(constB158)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24366,plain,
% 7.82/6.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB158, constB159)) | (v180(constB159) <=> v178(constB158))),
% 7.82/6.01 inference(modus_ponens,[status(thm)],[24365, 24364])).
% 7.82/6.01 tff(24367,plain,
% 7.82/6.01 (v180(constB159) <=> v178(constB158)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24366, 13280, 70])).
% 7.82/6.01 tff(24368,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB158) <=> (v181(constB158) | v185(constB158)))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24369,plain,
% 7.82/6.01 (v178(constB158) <=> (v181(constB158) | v185(constB158))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24368, 84])).
% 7.82/6.01 tff(24370,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB158) <=> (~((~v186(constB158)) | (~v187(constB158)))))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24371,plain,
% 7.82/6.01 (v185(constB158) <=> (~((~v186(constB158)) | (~v187(constB158))))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24370, 96])).
% 7.82/6.01 tff(24372,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB158) <=> (~((~v184(constB158)) | (~v159(constB158)))))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24373,plain,
% 7.82/6.01 (v187(constB158) <=> (~((~v184(constB158)) | (~v159(constB158))))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24372, 108])).
% 7.82/6.01 tff(24374,plain,
% 7.82/6.01 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24375,plain,
% 7.82/6.01 (v184(constB158) <=> (~((~v39(constB158)) | (~v9(constB158))))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24374, 120])).
% 7.82/6.01 tff(24376,plain,
% 7.82/6.01 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB158)) <=> v1(constB158))),
% 7.82/6.01 inference(quant_inst,[status(thm)],[])).
% 7.82/6.01 tff(24377,plain,
% 7.82/6.01 ((~v39(constB158)) <=> v1(constB158)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24376, 129])).
% 7.82/6.01 tff(24378,plain,
% 7.82/6.01 ((~((~v39(constB158)) <=> v1(constB158))) | (~v39(constB158)) | (~v1(constB158))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24379,plain,
% 7.82/6.01 ((~((~v39(constB158)) <=> v1(constB158))) | (~v39(constB158))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24378, 19314])).
% 7.82/6.01 tff(24380,plain,
% 7.82/6.01 (~v39(constB158)),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24379, 24377])).
% 7.82/6.01 tff(24381,plain,
% 7.82/6.01 (((~v39(constB158)) | (~v9(constB158))) | v39(constB158)),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24382,plain,
% 7.82/6.01 ((~v39(constB158)) | (~v9(constB158))),
% 7.82/6.01 inference(unit_resolution,[status(thm)],[24381, 24380])).
% 7.82/6.01 tff(24383,plain,
% 7.82/6.01 ((~(v184(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))) | (~v184(constB158)) | (~((~v39(constB158)) | (~v9(constB158))))),
% 7.82/6.01 inference(tautology,[status(thm)],[])).
% 7.82/6.01 tff(24384,plain,
% 7.82/6.01 ((~(v184(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))) | (~v184(constB158))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24383, 24382])).
% 7.82/6.02 tff(24385,plain,
% 7.82/6.02 (~v184(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24384, 24375])).
% 7.82/6.02 tff(24386,plain,
% 7.82/6.02 (((~v184(constB158)) | (~v159(constB158))) | v184(constB158)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24387,plain,
% 7.82/6.02 ((~v184(constB158)) | (~v159(constB158))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24386, 24385])).
% 7.82/6.02 tff(24388,plain,
% 7.82/6.02 ((~(v187(constB158) <=> (~((~v184(constB158)) | (~v159(constB158)))))) | (~v187(constB158)) | (~((~v184(constB158)) | (~v159(constB158))))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24389,plain,
% 7.82/6.02 ((~(v187(constB158) <=> (~((~v184(constB158)) | (~v159(constB158)))))) | (~v187(constB158))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24388, 24387])).
% 7.82/6.02 tff(24390,plain,
% 7.82/6.02 (~v187(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24389, 24373])).
% 7.82/6.02 tff(24391,plain,
% 7.82/6.02 (((~v186(constB158)) | (~v187(constB158))) | v187(constB158)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24392,plain,
% 7.82/6.02 ((~v186(constB158)) | (~v187(constB158))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24391, 24390])).
% 7.82/6.02 tff(24393,plain,
% 7.82/6.02 ((~(v185(constB158) <=> (~((~v186(constB158)) | (~v187(constB158)))))) | (~v185(constB158)) | (~((~v186(constB158)) | (~v187(constB158))))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24394,plain,
% 7.82/6.02 (~v185(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24393, 24392, 24371])).
% 7.82/6.02 tff(24395,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158))))))),
% 7.82/6.02 inference(rewrite,[status(thm)],[])).
% 7.82/6.02 tff(24396,plain,
% 7.82/6.02 ((v181(constB158) <=> (~((~v182(constB158)) | (~v157(constB158))))) <=> (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158)))))),
% 7.82/6.02 inference(rewrite,[status(thm)],[])).
% 7.82/6.02 tff(24397,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v182(constB158)) | (~v157(constB158)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158))))))),
% 7.82/6.02 inference(monotonicity,[status(thm)],[24396])).
% 7.82/6.02 tff(24398,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v182(constB158)) | (~v157(constB158)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158))))))),
% 7.82/6.02 inference(transitivity,[status(thm)],[24397, 24395])).
% 7.82/6.02 tff(24399,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v182(constB158)) | (~v157(constB158)))))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24400,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158)))))),
% 7.82/6.02 inference(modus_ponens,[status(thm)],[24399, 24398])).
% 7.82/6.02 tff(24401,plain,
% 7.82/6.02 (v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158))))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24400, 161])).
% 7.82/6.02 tff(24402,plain,
% 7.82/6.02 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB158) <=> v180(constB158))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24403,plain,
% 7.82/6.02 (v157(constB158) <=> v180(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24402, 13])).
% 7.82/6.02 tff(24404,plain,
% 7.82/6.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB157, constB158)) | (v180(constB158) <=> v178(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB157, constB158)) | (v180(constB158) <=> v178(constB157)))),
% 7.82/6.02 inference(rewrite,[status(thm)],[])).
% 7.82/6.02 tff(24405,plain,
% 7.82/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB157, constB158)) | (v180(constB158) <=> v178(constB157)))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24406,plain,
% 7.82/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB157, constB158)) | (v180(constB158) <=> v178(constB157))),
% 7.82/6.02 inference(modus_ponens,[status(thm)],[24405, 24404])).
% 7.82/6.02 tff(24407,plain,
% 7.82/6.02 (v180(constB158) <=> v178(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24406, 13316, 70])).
% 7.82/6.02 tff(24408,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB157) <=> (v181(constB157) | v185(constB157)))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24409,plain,
% 7.82/6.02 (v178(constB157) <=> (v181(constB157) | v185(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24408, 84])).
% 7.82/6.02 tff(24410,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157))))))),
% 7.82/6.02 inference(rewrite,[status(thm)],[])).
% 7.82/6.02 tff(24411,plain,
% 7.82/6.02 ((v181(constB157) <=> (~((~v182(constB157)) | (~v157(constB157))))) <=> (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157)))))),
% 7.82/6.02 inference(rewrite,[status(thm)],[])).
% 7.82/6.02 tff(24412,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v182(constB157)) | (~v157(constB157)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157))))))),
% 7.82/6.02 inference(monotonicity,[status(thm)],[24411])).
% 7.82/6.02 tff(24413,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v182(constB157)) | (~v157(constB157)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157))))))),
% 7.82/6.02 inference(transitivity,[status(thm)],[24412, 24410])).
% 7.82/6.02 tff(24414,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v182(constB157)) | (~v157(constB157)))))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24415,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157)))))),
% 7.82/6.02 inference(modus_ponens,[status(thm)],[24414, 24413])).
% 7.82/6.02 tff(24416,plain,
% 7.82/6.02 (v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157))))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24415, 161])).
% 7.82/6.02 tff(24417,plain,
% 7.82/6.02 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB157)) <=> v183(constB157))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24418,plain,
% 7.82/6.02 ((~v182(constB157)) <=> v183(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24417, 193])).
% 7.82/6.02 tff(24419,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB157) <=> (v184(constB157) | v26(constB157)))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24420,plain,
% 7.82/6.02 (v183(constB157) <=> (v184(constB157) | v26(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24419, 202])).
% 7.82/6.02 tff(24421,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB157) <=> (~((~v39(constB157)) | (~v9(constB157)))))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24422,plain,
% 7.82/6.02 (v184(constB157) <=> (~((~v39(constB157)) | (~v9(constB157))))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24421, 120])).
% 7.82/6.02 tff(24423,plain,
% 7.82/6.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157)))),
% 7.82/6.02 inference(rewrite,[status(thm)],[])).
% 7.82/6.02 tff(24424,plain,
% 7.82/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157)))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24425,plain,
% 7.82/6.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157))),
% 7.82/6.02 inference(modus_ponens,[status(thm)],[24424, 24423])).
% 7.82/6.02 tff(24426,plain,
% 7.82/6.02 (v13(constB158) <=> v9(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24425, 13316, 216])).
% 7.82/6.02 tff(24427,plain,
% 7.82/6.02 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB158) <=> v13(constB158))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24428,plain,
% 7.82/6.02 (v6(constB158) <=> v13(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24427, 230])).
% 7.82/6.02 tff(24429,plain,
% 7.82/6.02 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB158)) <=> v6(constB158))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24430,plain,
% 7.82/6.02 ((~v21(constB158)) <=> v6(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24429, 239])).
% 7.82/6.02 tff(24431,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB158) <=> (v20(constB158) | v21(constB158)))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24432,plain,
% 7.82/6.02 (v19(constB158) <=> (v20(constB158) | v21(constB158))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24431, 248])).
% 7.82/6.02 tff(24433,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158)))))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24434,plain,
% 7.82/6.02 (v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158))))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24433, 260])).
% 7.82/6.02 tff(24435,plain,
% 7.82/6.02 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB158)) <=> v18(constB158))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24436,plain,
% 7.82/6.02 ((~v4(constB158)) <=> v18(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24435, 269])).
% 7.82/6.02 tff(24437,plain,
% 7.82/6.02 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB158)),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24438,plain,
% 7.82/6.02 (v4(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24437, 278])).
% 7.82/6.02 tff(24439,plain,
% 7.82/6.02 ((~((~v4(constB158)) <=> v18(constB158))) | (~v4(constB158)) | (~v18(constB158))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24440,plain,
% 7.82/6.02 (~v18(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24439, 24438, 24436])).
% 7.82/6.02 tff(24441,plain,
% 7.82/6.02 ((~(v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158)))))) | v18(constB158) | ((~v19(constB158)) | (~v22(constB158)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24442,plain,
% 7.82/6.02 ((~v19(constB158)) | (~v22(constB158))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24441, 24440, 24434])).
% 7.82/6.02 tff(24443,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB158) <=> (v1(constB158) | v6(constB158)))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24444,plain,
% 7.82/6.02 (v22(constB158) <=> (v1(constB158) | v6(constB158))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24443, 291])).
% 7.82/6.02 tff(24445,plain,
% 7.82/6.02 ((v1(constB158) | v6(constB158)) | (~v1(constB158))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24446,plain,
% 7.82/6.02 (v1(constB158) | v6(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24445, 19314])).
% 7.82/6.02 tff(24447,plain,
% 7.82/6.02 ((~(v22(constB158) <=> (v1(constB158) | v6(constB158)))) | v22(constB158) | (~(v1(constB158) | v6(constB158)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24448,plain,
% 7.82/6.02 ((~(v22(constB158) <=> (v1(constB158) | v6(constB158)))) | v22(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24447, 24446])).
% 7.82/6.02 tff(24449,plain,
% 7.82/6.02 (v22(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24448, 24444])).
% 7.82/6.02 tff(24450,plain,
% 7.82/6.02 ((~((~v19(constB158)) | (~v22(constB158)))) | (~v19(constB158)) | (~v22(constB158))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24451,plain,
% 7.82/6.02 ((~((~v19(constB158)) | (~v22(constB158)))) | (~v19(constB158))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24450, 24449])).
% 7.82/6.02 tff(24452,plain,
% 7.82/6.02 (~v19(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24451, 24442])).
% 7.82/6.02 tff(24453,plain,
% 7.82/6.02 ((~(v19(constB158) <=> (v20(constB158) | v21(constB158)))) | v19(constB158) | (~(v20(constB158) | v21(constB158)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24454,plain,
% 7.82/6.02 (~(v20(constB158) | v21(constB158))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24453, 24452, 24432])).
% 7.82/6.02 tff(24455,plain,
% 7.82/6.02 ((v20(constB158) | v21(constB158)) | (~v21(constB158))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24456,plain,
% 7.82/6.02 (~v21(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24455, 24454])).
% 7.82/6.02 tff(24457,plain,
% 7.82/6.02 ((~((~v21(constB158)) <=> v6(constB158))) | v21(constB158) | v6(constB158)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24458,plain,
% 7.82/6.02 (v6(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24457, 24456, 24430])).
% 7.82/6.02 tff(24459,plain,
% 7.82/6.02 ((~(v6(constB158) <=> v13(constB158))) | (~v6(constB158)) | v13(constB158)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24460,plain,
% 7.82/6.02 (v13(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24459, 24458, 24428])).
% 7.82/6.02 tff(24461,plain,
% 7.82/6.02 ((~(v13(constB158) <=> v9(constB157))) | (~v13(constB158)) | v9(constB157)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24462,plain,
% 7.82/6.02 (v9(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24461, 24460, 24426])).
% 7.82/6.02 tff(24463,plain,
% 7.82/6.02 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB157)) <=> v1(constB157))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24464,plain,
% 7.82/6.02 ((~v39(constB157)) <=> v1(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24463, 129])).
% 7.82/6.02 tff(24465,plain,
% 7.82/6.02 ((~((~v39(constB157)) <=> v1(constB157))) | v39(constB157) | v1(constB157)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24466,plain,
% 7.82/6.02 ((~((~v39(constB157)) <=> v1(constB157))) | v39(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24465, 13355])).
% 7.82/6.02 tff(24467,plain,
% 7.82/6.02 (v39(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24466, 24464])).
% 7.82/6.02 tff(24468,plain,
% 7.82/6.02 ((~((~v39(constB157)) | (~v9(constB157)))) | (~v39(constB157)) | (~v9(constB157))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24469,plain,
% 7.82/6.02 ((~((~v39(constB157)) | (~v9(constB157)))) | (~v9(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24468, 24467])).
% 7.82/6.02 tff(24470,plain,
% 7.82/6.02 (~((~v39(constB157)) | (~v9(constB157)))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24469, 24462])).
% 7.82/6.02 tff(24471,plain,
% 7.82/6.02 ((~(v184(constB157) <=> (~((~v39(constB157)) | (~v9(constB157)))))) | v184(constB157) | ((~v39(constB157)) | (~v9(constB157)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24472,plain,
% 7.82/6.02 (v184(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24471, 24470, 24422])).
% 7.82/6.02 tff(24473,plain,
% 7.82/6.02 ((v184(constB157) | v26(constB157)) | (~v184(constB157))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24474,plain,
% 7.82/6.02 (v184(constB157) | v26(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24473, 24472])).
% 7.82/6.02 tff(24475,plain,
% 7.82/6.02 ((~(v183(constB157) <=> (v184(constB157) | v26(constB157)))) | v183(constB157) | (~(v184(constB157) | v26(constB157)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24476,plain,
% 7.82/6.02 (v183(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24475, 24474, 24420])).
% 7.82/6.02 tff(24477,plain,
% 7.82/6.02 ((~((~v182(constB157)) <=> v183(constB157))) | (~v182(constB157)) | (~v183(constB157))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24478,plain,
% 7.82/6.02 (~v182(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24477, 24476, 24418])).
% 7.82/6.02 tff(24479,plain,
% 7.82/6.02 (((~v157(constB157)) | (~v182(constB157))) | v182(constB157)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24480,plain,
% 7.82/6.02 ((~v157(constB157)) | (~v182(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24479, 24478])).
% 7.82/6.02 tff(24481,plain,
% 7.82/6.02 ((~(v181(constB157) <=> (~((~v157(constB157)) | (~v182(constB157)))))) | (~v181(constB157)) | (~((~v157(constB157)) | (~v182(constB157))))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24482,plain,
% 7.82/6.02 (~v181(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24481, 24480, 24416])).
% 7.82/6.02 tff(24483,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB157) <=> (~((~v186(constB157)) | (~v187(constB157)))))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24484,plain,
% 7.82/6.02 (v185(constB157) <=> (~((~v186(constB157)) | (~v187(constB157))))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24483, 96])).
% 7.82/6.02 tff(24485,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB157) <=> (~((~v184(constB157)) | (~v159(constB157)))))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24486,plain,
% 7.82/6.02 (v187(constB157) <=> (~((~v184(constB157)) | (~v159(constB157))))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24485, 108])).
% 7.82/6.02 tff(24487,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB157) <=> v161(constB157))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24488,plain,
% 7.82/6.02 (v159(constB157) <=> v161(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24487, 345])).
% 7.82/6.02 tff(24489,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB157) <=> (v145(constB157) | v165(constB157)))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24490,plain,
% 7.82/6.02 (v164(constB157) <=> (v145(constB157) | v165(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24489, 357])).
% 7.82/6.02 tff(24491,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB157) <=> (v142(constB157) | v166(constB157)))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24492,plain,
% 7.82/6.02 (v165(constB157) <=> (v142(constB157) | v166(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24491, 369])).
% 7.82/6.02 tff(24493,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB157) <=> (v143(constB157) | v144(constB157)))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24494,plain,
% 7.82/6.02 (v142(constB157) <=> (v143(constB157) | v144(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24493, 21792])).
% 7.82/6.02 tff(24495,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0)))))),
% 7.82/6.02 inference(rewrite,[status(thm)],[])).
% 7.82/6.02 tff(24496,plain,
% 7.82/6.02 ((v144(constB157) <=> (~(v88(constB157, bitIndex0) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2))))) <=> (v144(constB157) <=> (~((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0))))),
% 7.82/6.02 inference(rewrite,[status(thm)],[])).
% 7.82/6.02 tff(24497,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~(v88(constB157, bitIndex0) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0)))))),
% 7.82/6.02 inference(monotonicity,[status(thm)],[24496])).
% 7.82/6.02 tff(24498,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~(v88(constB157, bitIndex0) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0)))))),
% 7.82/6.02 inference(transitivity,[status(thm)],[24497, 24495])).
% 7.82/6.02 tff(24499,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~(v88(constB157, bitIndex0) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)))))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24500,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB157) <=> (~((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0))))),
% 7.82/6.02 inference(modus_ponens,[status(thm)],[24499, 24498])).
% 7.82/6.02 tff(24501,plain,
% 7.82/6.02 (v144(constB157) <=> (~((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0)))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24500, 21807])).
% 7.82/6.02 tff(24502,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB157, bitIndex1)) <=> v90(constB157, bitIndex1)) | ((~v88(constB157, bitIndex2)) <=> v90(constB157, bitIndex2)) | ((~v88(constB157, bitIndex0)) <=> v90(constB157, bitIndex0))))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24503,plain,
% 7.82/6.02 (~(((~v88(constB157, bitIndex1)) <=> v90(constB157, bitIndex1)) | ((~v88(constB157, bitIndex2)) <=> v90(constB157, bitIndex2)) | ((~v88(constB157, bitIndex0)) <=> v90(constB157, bitIndex0)))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24502, 416])).
% 7.82/6.02 tff(24504,plain,
% 7.82/6.02 ((((~v88(constB157, bitIndex1)) <=> v90(constB157, bitIndex1)) | ((~v88(constB157, bitIndex2)) <=> v90(constB157, bitIndex2)) | ((~v88(constB157, bitIndex0)) <=> v90(constB157, bitIndex0))) | (~((~v88(constB157, bitIndex2)) <=> v90(constB157, bitIndex2)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24505,plain,
% 7.82/6.02 (~((~v88(constB157, bitIndex2)) <=> v90(constB157, bitIndex2))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24504, 24503])).
% 7.82/6.02 tff(24506,plain,
% 7.82/6.02 (((~v88(constB157, bitIndex2)) <=> v90(constB157, bitIndex2)) | v88(constB157, bitIndex2) | (~v90(constB157, bitIndex2))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24507,plain,
% 7.82/6.02 (v88(constB157, bitIndex2)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24506, 19198, 24505])).
% 7.82/6.02 tff(24508,plain,
% 7.82/6.02 ((((~v88(constB157, bitIndex1)) <=> v90(constB157, bitIndex1)) | ((~v88(constB157, bitIndex2)) <=> v90(constB157, bitIndex2)) | ((~v88(constB157, bitIndex0)) <=> v90(constB157, bitIndex0))) | (~((~v88(constB157, bitIndex0)) <=> v90(constB157, bitIndex0)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24509,plain,
% 7.82/6.02 (~((~v88(constB157, bitIndex0)) <=> v90(constB157, bitIndex0))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24508, 24503])).
% 7.82/6.02 tff(24510,plain,
% 7.82/6.02 (((~v88(constB157, bitIndex0)) <=> v90(constB157, bitIndex0)) | (~v88(constB157, bitIndex0)) | v90(constB157, bitIndex0)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24511,plain,
% 7.82/6.02 (~v88(constB157, bitIndex0)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24510, 19349, 24509])).
% 7.82/6.02 tff(24512,plain,
% 7.82/6.02 ((((~v88(constB157, bitIndex1)) <=> v90(constB157, bitIndex1)) | ((~v88(constB157, bitIndex2)) <=> v90(constB157, bitIndex2)) | ((~v88(constB157, bitIndex0)) <=> v90(constB157, bitIndex0))) | (~((~v88(constB157, bitIndex1)) <=> v90(constB157, bitIndex1)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24513,plain,
% 7.82/6.02 (~((~v88(constB157, bitIndex1)) <=> v90(constB157, bitIndex1))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24512, 24503])).
% 7.82/6.02 tff(24514,plain,
% 7.82/6.02 (((~v88(constB157, bitIndex1)) <=> v90(constB157, bitIndex1)) | v88(constB157, bitIndex1) | (~v90(constB157, bitIndex1))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24515,plain,
% 7.82/6.02 (v88(constB157, bitIndex1)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24514, 19227, 24513])).
% 7.82/6.02 tff(24516,plain,
% 7.82/6.02 ((~((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0))) | (~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24517,plain,
% 7.82/6.02 (~((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24516, 24515, 24511, 24507])).
% 7.82/6.02 tff(24518,plain,
% 7.82/6.02 ((~(v144(constB157) <=> (~((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0))))) | v144(constB157) | ((~v88(constB157, bitIndex1)) | (~v88(constB157, bitIndex2)) | v88(constB157, bitIndex0))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24519,plain,
% 7.82/6.02 (v144(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24518, 24517, 24501])).
% 7.82/6.02 tff(24520,plain,
% 7.82/6.02 ((v143(constB157) | v144(constB157)) | (~v144(constB157))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24521,plain,
% 7.82/6.02 (v143(constB157) | v144(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24520, 24519])).
% 7.82/6.02 tff(24522,plain,
% 7.82/6.02 ((~(v142(constB157) <=> (v143(constB157) | v144(constB157)))) | v142(constB157) | (~(v143(constB157) | v144(constB157)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24523,plain,
% 7.82/6.02 (v142(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24522, 24521, 24494])).
% 7.82/6.02 tff(24524,plain,
% 7.82/6.02 ((v142(constB157) | v166(constB157)) | (~v142(constB157))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24525,plain,
% 7.82/6.02 (v142(constB157) | v166(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24524, 24523])).
% 7.82/6.02 tff(24526,plain,
% 7.82/6.02 ((~(v165(constB157) <=> (v142(constB157) | v166(constB157)))) | v165(constB157) | (~(v142(constB157) | v166(constB157)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24527,plain,
% 7.82/6.02 ((~(v165(constB157) <=> (v142(constB157) | v166(constB157)))) | v165(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24526, 24525])).
% 7.82/6.02 tff(24528,plain,
% 7.82/6.02 (v165(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24527, 24492])).
% 7.82/6.02 tff(24529,plain,
% 7.82/6.02 ((v145(constB157) | v165(constB157)) | (~v165(constB157))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24530,plain,
% 7.82/6.02 (v145(constB157) | v165(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24529, 24528])).
% 7.82/6.02 tff(24531,plain,
% 7.82/6.02 ((~(v164(constB157) <=> (v145(constB157) | v165(constB157)))) | v164(constB157) | (~(v145(constB157) | v165(constB157)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24532,plain,
% 7.82/6.02 (v164(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24531, 24530, 24490])).
% 7.82/6.02 tff(24533,plain,
% 7.82/6.02 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB157)) | (v161(constB157) <=> v168(constB157)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB157)) | (v161(constB157) <=> v168(constB157)))),
% 7.82/6.02 inference(rewrite,[status(thm)],[])).
% 7.82/6.02 tff(24534,plain,
% 7.82/6.02 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB157)) | (v161(constB157) <=> v168(constB157)))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24535,plain,
% 7.82/6.02 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB157)) | (v161(constB157) <=> v168(constB157))),
% 7.82/6.02 inference(modus_ponens,[status(thm)],[24534, 24533])).
% 7.82/6.02 tff(24536,plain,
% 7.82/6.02 ((~v164(constB157)) | (v161(constB157) <=> v168(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24535, 12128])).
% 7.82/6.02 tff(24537,plain,
% 7.82/6.02 (v161(constB157) <=> v168(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24536, 24532])).
% 7.82/6.02 tff(24538,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB157) <=> (~(v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2))))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24539,plain,
% 7.82/6.02 (v139(constB157) <=> (~(v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2)))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24538, 12146])).
% 7.82/6.02 tff(24540,plain,
% 7.82/6.02 ((v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2)) | (~v88(constB157, bitIndex2))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24541,plain,
% 7.82/6.02 (v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24540, 24507])).
% 7.82/6.02 tff(24542,plain,
% 7.82/6.02 ((~(v139(constB157) <=> (~(v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2))))) | (~v139(constB157)) | (~(v88(constB157, bitIndex0) | v88(constB157, bitIndex1) | v88(constB157, bitIndex2)))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24543,plain,
% 7.82/6.02 (~v139(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24542, 24541, 24539])).
% 7.82/6.02 tff(24544,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB157) <=> (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0)))))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24545,plain,
% 7.82/6.02 (v140(constB157) <=> (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0))))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24544, 12165])).
% 7.82/6.02 tff(24546,plain,
% 7.82/6.02 ((v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0))) | (~v88(constB157, bitIndex2))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24547,plain,
% 7.82/6.02 (v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24546, 24507])).
% 7.82/6.02 tff(24548,plain,
% 7.82/6.02 ((~(v140(constB157) <=> (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0)))))) | (~v140(constB157)) | (~(v88(constB157, bitIndex1) | v88(constB157, bitIndex2) | (~v88(constB157, bitIndex0))))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24549,plain,
% 7.82/6.02 (~v140(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24548, 24547, 24545])).
% 7.82/6.02 tff(24550,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v168(constB157)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB157) | v140(constB157) | (~v168(constB157)))),
% 7.82/6.02 inference(rewrite,[status(thm)],[])).
% 7.82/6.02 tff(24551,plain,
% 7.82/6.02 ((v140(constB157) | v139(constB157) | (~v168(constB157))) <=> (v139(constB157) | v140(constB157) | (~v168(constB157)))),
% 7.82/6.02 inference(rewrite,[status(thm)],[])).
% 7.82/6.02 tff(24552,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB157) | v139(constB157) | (~v168(constB157)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v168(constB157))))),
% 7.82/6.02 inference(monotonicity,[status(thm)],[24551])).
% 7.82/6.02 tff(24553,plain,
% 7.82/6.02 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB157) | v139(constB157) | (~v168(constB157)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB157) | v140(constB157) | (~v168(constB157)))),
% 7.82/6.02 inference(transitivity,[status(thm)],[24552, 24550])).
% 7.82/6.02 tff(24554,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB157) | v139(constB157) | (~v168(constB157)))),
% 7.82/6.02 inference(quant_inst,[status(thm)],[])).
% 7.82/6.02 tff(24555,plain,
% 7.82/6.02 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB157) | v140(constB157) | (~v168(constB157))),
% 7.82/6.02 inference(modus_ponens,[status(thm)],[24554, 24553])).
% 7.82/6.02 tff(24556,plain,
% 7.82/6.02 (v139(constB157) | v140(constB157) | (~v168(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24555, 12184])).
% 7.82/6.02 tff(24557,plain,
% 7.82/6.02 (~v168(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24556, 24549, 24543])).
% 7.82/6.02 tff(24558,plain,
% 7.82/6.02 ((~(v161(constB157) <=> v168(constB157))) | (~v161(constB157)) | v168(constB157)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24559,plain,
% 7.82/6.02 ((~(v161(constB157) <=> v168(constB157))) | (~v161(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24558, 24557])).
% 7.82/6.02 tff(24560,plain,
% 7.82/6.02 (~v161(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24559, 24537])).
% 7.82/6.02 tff(24561,plain,
% 7.82/6.02 ((~(v159(constB157) <=> v161(constB157))) | (~v159(constB157)) | v161(constB157)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24562,plain,
% 7.82/6.02 ((~(v159(constB157) <=> v161(constB157))) | (~v159(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24561, 24560])).
% 7.82/6.02 tff(24563,plain,
% 7.82/6.02 (~v159(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24562, 24488])).
% 7.82/6.02 tff(24564,plain,
% 7.82/6.02 (((~v184(constB157)) | (~v159(constB157))) | v159(constB157)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24565,plain,
% 7.82/6.02 ((~v184(constB157)) | (~v159(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24564, 24563])).
% 7.82/6.02 tff(24566,plain,
% 7.82/6.02 ((~(v187(constB157) <=> (~((~v184(constB157)) | (~v159(constB157)))))) | (~v187(constB157)) | (~((~v184(constB157)) | (~v159(constB157))))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24567,plain,
% 7.82/6.02 (~v187(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24566, 24565, 24486])).
% 7.82/6.02 tff(24568,plain,
% 7.82/6.02 (((~v186(constB157)) | (~v187(constB157))) | v187(constB157)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24569,plain,
% 7.82/6.02 ((~v186(constB157)) | (~v187(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24568, 24567])).
% 7.82/6.02 tff(24570,plain,
% 7.82/6.02 ((~(v185(constB157) <=> (~((~v186(constB157)) | (~v187(constB157)))))) | (~v185(constB157)) | (~((~v186(constB157)) | (~v187(constB157))))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24571,plain,
% 7.82/6.02 (~v185(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24570, 24569, 24484])).
% 7.82/6.02 tff(24572,plain,
% 7.82/6.02 ((~(v181(constB157) | v185(constB157))) | v181(constB157) | v185(constB157)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24573,plain,
% 7.82/6.02 (~(v181(constB157) | v185(constB157))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24572, 24571, 24482])).
% 7.82/6.02 tff(24574,plain,
% 7.82/6.02 ((~(v178(constB157) <=> (v181(constB157) | v185(constB157)))) | (~v178(constB157)) | (v181(constB157) | v185(constB157))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24575,plain,
% 7.82/6.02 (~v178(constB157)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24574, 24573, 24409])).
% 7.82/6.02 tff(24576,plain,
% 7.82/6.02 ((~(v180(constB158) <=> v178(constB157))) | (~v180(constB158)) | v178(constB157)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24577,plain,
% 7.82/6.02 (~v180(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24576, 24575, 24407])).
% 7.82/6.02 tff(24578,plain,
% 7.82/6.02 ((~(v157(constB158) <=> v180(constB158))) | (~v157(constB158)) | v180(constB158)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24579,plain,
% 7.82/6.02 (~v157(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24578, 24577, 24403])).
% 7.82/6.02 tff(24580,plain,
% 7.82/6.02 (((~v157(constB158)) | (~v182(constB158))) | v157(constB158)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24581,plain,
% 7.82/6.02 ((~v157(constB158)) | (~v182(constB158))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24580, 24579])).
% 7.82/6.02 tff(24582,plain,
% 7.82/6.02 ((~(v181(constB158) <=> (~((~v157(constB158)) | (~v182(constB158)))))) | (~v181(constB158)) | (~((~v157(constB158)) | (~v182(constB158))))),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24583,plain,
% 7.82/6.02 (~v181(constB158)),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24582, 24581, 24401])).
% 7.82/6.02 tff(24584,plain,
% 7.82/6.02 ((~(v181(constB158) | v185(constB158))) | v181(constB158) | v185(constB158)),
% 7.82/6.02 inference(tautology,[status(thm)],[])).
% 7.82/6.02 tff(24585,plain,
% 7.82/6.02 (~(v181(constB158) | v185(constB158))),
% 7.82/6.02 inference(unit_resolution,[status(thm)],[24584, 24583, 24394])).
% 7.82/6.02 tff(24586,plain,
% 7.82/6.02 ((~(v178(constB158) <=> (v181(constB158) | v185(constB158)))) | (~v178(constB158)) | (v181(constB158) | v185(constB158))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24587,plain,
% 7.82/6.03 (~v178(constB158)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24586, 24585, 24369])).
% 7.82/6.03 tff(24588,plain,
% 7.82/6.03 ((~(v180(constB159) <=> v178(constB158))) | (~v180(constB159)) | v178(constB158)),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24589,plain,
% 7.82/6.03 (~v180(constB159)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24588, 24587, 24367])).
% 7.82/6.03 tff(24590,plain,
% 7.82/6.03 ($false),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24589, 24363])).
% 7.82/6.03 tff(24591,plain,(~(constB159 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.82/6.03 tff(24592,assumption,(constB119 = VarCurr!0), introduced(assumption)).
% 7.82/6.03 tff(24593,plain,
% 7.82/6.03 (v180(constB119) <=> v180(VarCurr!0)),
% 7.82/6.03 inference(monotonicity,[status(thm)],[24592])).
% 7.82/6.03 tff(24594,plain,
% 7.82/6.03 (v180(VarCurr!0) <=> v180(constB119)),
% 7.82/6.03 inference(symmetry,[status(thm)],[24593])).
% 7.82/6.03 tff(24595,plain,
% 7.82/6.03 (v180(constB119)),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[59, 24594])).
% 7.82/6.03 tff(24596,plain,
% 7.82/6.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB118, constB119)) | (v180(constB119) <=> v178(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB118, constB119)) | (v180(constB119) <=> v178(constB118)))),
% 7.82/6.03 inference(rewrite,[status(thm)],[])).
% 7.82/6.03 tff(24597,plain,
% 7.82/6.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB118, constB119)) | (v180(constB119) <=> v178(constB118)))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24598,plain,
% 7.82/6.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB118, constB119)) | (v180(constB119) <=> v178(constB118))),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[24597, 24596])).
% 7.82/6.03 tff(24599,plain,
% 7.82/6.03 (v180(constB119) <=> v178(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24598, 14565, 70])).
% 7.82/6.03 tff(24600,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB118) <=> (v181(constB118) | v185(constB118)))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24601,plain,
% 7.82/6.03 (v178(constB118) <=> (v181(constB118) | v185(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24600, 84])).
% 7.82/6.03 tff(24602,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB118) <=> (~((~v186(constB118)) | (~v187(constB118)))))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24603,plain,
% 7.82/6.03 (v185(constB118) <=> (~((~v186(constB118)) | (~v187(constB118))))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24602, 96])).
% 7.82/6.03 tff(24604,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB118) <=> (~((~v184(constB118)) | (~v159(constB118)))))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24605,plain,
% 7.82/6.03 (v187(constB118) <=> (~((~v184(constB118)) | (~v159(constB118))))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24604, 108])).
% 7.82/6.03 tff(24606,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24607,plain,
% 7.82/6.03 (v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118))))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24606, 120])).
% 7.82/6.03 tff(24608,plain,
% 7.82/6.03 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB118)) <=> v1(constB118))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24609,plain,
% 7.82/6.03 ((~v39(constB118)) <=> v1(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24608, 129])).
% 7.82/6.03 tff(24610,plain,
% 7.82/6.03 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118)) | (~v1(constB118))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24611,plain,
% 7.82/6.03 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24610, 16194])).
% 7.82/6.03 tff(24612,plain,
% 7.82/6.03 (~v39(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24611, 24609])).
% 7.82/6.03 tff(24613,plain,
% 7.82/6.03 (((~v39(constB118)) | (~v9(constB118))) | v39(constB118)),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24614,plain,
% 7.82/6.03 ((~v39(constB118)) | (~v9(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24613, 24612])).
% 7.82/6.03 tff(24615,plain,
% 7.82/6.03 ((~(v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v184(constB118)) | (~((~v39(constB118)) | (~v9(constB118))))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24616,plain,
% 7.82/6.03 ((~(v184(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v184(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24615, 24614])).
% 7.82/6.03 tff(24617,plain,
% 7.82/6.03 (~v184(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24616, 24607])).
% 7.82/6.03 tff(24618,plain,
% 7.82/6.03 (((~v184(constB118)) | (~v159(constB118))) | v184(constB118)),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24619,plain,
% 7.82/6.03 ((~v184(constB118)) | (~v159(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24618, 24617])).
% 7.82/6.03 tff(24620,plain,
% 7.82/6.03 ((~(v187(constB118) <=> (~((~v184(constB118)) | (~v159(constB118)))))) | (~v187(constB118)) | (~((~v184(constB118)) | (~v159(constB118))))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24621,plain,
% 7.82/6.03 ((~(v187(constB118) <=> (~((~v184(constB118)) | (~v159(constB118)))))) | (~v187(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24620, 24619])).
% 7.82/6.03 tff(24622,plain,
% 7.82/6.03 (~v187(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24621, 24605])).
% 7.82/6.03 tff(24623,plain,
% 7.82/6.03 (((~v186(constB118)) | (~v187(constB118))) | v187(constB118)),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24624,plain,
% 7.82/6.03 ((~v186(constB118)) | (~v187(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24623, 24622])).
% 7.82/6.03 tff(24625,plain,
% 7.82/6.03 ((~(v185(constB118) <=> (~((~v186(constB118)) | (~v187(constB118)))))) | (~v185(constB118)) | (~((~v186(constB118)) | (~v187(constB118))))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24626,plain,
% 7.82/6.03 (~v185(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24625, 24624, 24603])).
% 7.82/6.03 tff(24627,plain,
% 7.82/6.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118))))))),
% 7.82/6.03 inference(rewrite,[status(thm)],[])).
% 7.82/6.03 tff(24628,plain,
% 7.82/6.03 ((v181(constB118) <=> (~((~v182(constB118)) | (~v157(constB118))))) <=> (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118)))))),
% 7.82/6.03 inference(rewrite,[status(thm)],[])).
% 7.82/6.03 tff(24629,plain,
% 7.82/6.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v182(constB118)) | (~v157(constB118)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118))))))),
% 7.82/6.03 inference(monotonicity,[status(thm)],[24628])).
% 7.82/6.03 tff(24630,plain,
% 7.82/6.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v182(constB118)) | (~v157(constB118)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118))))))),
% 7.82/6.03 inference(transitivity,[status(thm)],[24629, 24627])).
% 7.82/6.03 tff(24631,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v182(constB118)) | (~v157(constB118)))))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24632,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118)))))),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[24631, 24630])).
% 7.82/6.03 tff(24633,plain,
% 7.82/6.03 (v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118))))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24632, 161])).
% 7.82/6.03 tff(24634,plain,
% 7.82/6.03 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB118) <=> v180(constB118))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24635,plain,
% 7.82/6.03 (v157(constB118) <=> v180(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24634, 13])).
% 7.82/6.03 tff(24636,plain,
% 7.82/6.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB117, constB118)) | (v180(constB118) <=> v178(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB117, constB118)) | (v180(constB118) <=> v178(constB117)))),
% 7.82/6.03 inference(rewrite,[status(thm)],[])).
% 7.82/6.03 tff(24637,plain,
% 7.82/6.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB117, constB118)) | (v180(constB118) <=> v178(constB117)))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24638,plain,
% 7.82/6.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB117, constB118)) | (v180(constB118) <=> v178(constB117))),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[24637, 24636])).
% 7.82/6.03 tff(24639,plain,
% 7.82/6.03 (v180(constB118) <=> v178(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24638, 14601, 70])).
% 7.82/6.03 tff(24640,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB117) <=> (v181(constB117) | v185(constB117)))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24641,plain,
% 7.82/6.03 (v178(constB117) <=> (v181(constB117) | v185(constB117))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24640, 84])).
% 7.82/6.03 tff(24642,plain,
% 7.82/6.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117))))))),
% 7.82/6.03 inference(rewrite,[status(thm)],[])).
% 7.82/6.03 tff(24643,plain,
% 7.82/6.03 ((v181(constB117) <=> (~((~v182(constB117)) | (~v157(constB117))))) <=> (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117)))))),
% 7.82/6.03 inference(rewrite,[status(thm)],[])).
% 7.82/6.03 tff(24644,plain,
% 7.82/6.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v182(constB117)) | (~v157(constB117)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117))))))),
% 7.82/6.03 inference(monotonicity,[status(thm)],[24643])).
% 7.82/6.03 tff(24645,plain,
% 7.82/6.03 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v182(constB117)) | (~v157(constB117)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117))))))),
% 7.82/6.03 inference(transitivity,[status(thm)],[24644, 24642])).
% 7.82/6.03 tff(24646,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v182(constB117)) | (~v157(constB117)))))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24647,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117)))))),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[24646, 24645])).
% 7.82/6.03 tff(24648,plain,
% 7.82/6.03 (v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117))))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24647, 161])).
% 7.82/6.03 tff(24649,plain,
% 7.82/6.03 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB117)) <=> v183(constB117))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24650,plain,
% 7.82/6.03 ((~v182(constB117)) <=> v183(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24649, 193])).
% 7.82/6.03 tff(24651,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB117) <=> (v184(constB117) | v26(constB117)))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24652,plain,
% 7.82/6.03 (v183(constB117) <=> (v184(constB117) | v26(constB117))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24651, 202])).
% 7.82/6.03 tff(24653,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB117) <=> (~((~v39(constB117)) | (~v9(constB117)))))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24654,plain,
% 7.82/6.03 (v184(constB117) <=> (~((~v39(constB117)) | (~v9(constB117))))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24653, 120])).
% 7.82/6.03 tff(24655,plain,
% 7.82/6.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117)))),
% 7.82/6.03 inference(rewrite,[status(thm)],[])).
% 7.82/6.03 tff(24656,plain,
% 7.82/6.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117)))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24657,plain,
% 7.82/6.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117))),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[24656, 24655])).
% 7.82/6.03 tff(24658,plain,
% 7.82/6.03 (v13(constB118) <=> v9(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24657, 14601, 216])).
% 7.82/6.03 tff(24659,plain,
% 7.82/6.03 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB118) <=> v13(constB118))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24660,plain,
% 7.82/6.03 (v6(constB118) <=> v13(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24659, 230])).
% 7.82/6.03 tff(24661,plain,
% 7.82/6.03 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB118)) <=> v6(constB118))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24662,plain,
% 7.82/6.03 ((~v21(constB118)) <=> v6(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24661, 239])).
% 7.82/6.03 tff(24663,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB118) <=> (v20(constB118) | v21(constB118)))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24664,plain,
% 7.82/6.03 (v19(constB118) <=> (v20(constB118) | v21(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24663, 248])).
% 7.82/6.03 tff(24665,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118)))))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24666,plain,
% 7.82/6.03 (v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118))))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24665, 260])).
% 7.82/6.03 tff(24667,plain,
% 7.82/6.03 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB118)) <=> v18(constB118))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24668,plain,
% 7.82/6.03 ((~v4(constB118)) <=> v18(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24667, 269])).
% 7.82/6.03 tff(24669,plain,
% 7.82/6.03 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB118)),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24670,plain,
% 7.82/6.03 (v4(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24669, 278])).
% 7.82/6.03 tff(24671,plain,
% 7.82/6.03 ((~((~v4(constB118)) <=> v18(constB118))) | (~v4(constB118)) | (~v18(constB118))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24672,plain,
% 7.82/6.03 (~v18(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24671, 24670, 24668])).
% 7.82/6.03 tff(24673,plain,
% 7.82/6.03 ((~(v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118)))))) | v18(constB118) | ((~v19(constB118)) | (~v22(constB118)))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24674,plain,
% 7.82/6.03 ((~v19(constB118)) | (~v22(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24673, 24672, 24666])).
% 7.82/6.03 tff(24675,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB118) <=> (v1(constB118) | v6(constB118)))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24676,plain,
% 7.82/6.03 (v22(constB118) <=> (v1(constB118) | v6(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24675, 291])).
% 7.82/6.03 tff(24677,plain,
% 7.82/6.03 ((v1(constB118) | v6(constB118)) | (~v1(constB118))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24678,plain,
% 7.82/6.03 (v1(constB118) | v6(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24677, 16194])).
% 7.82/6.03 tff(24679,plain,
% 7.82/6.03 ((~(v22(constB118) <=> (v1(constB118) | v6(constB118)))) | v22(constB118) | (~(v1(constB118) | v6(constB118)))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24680,plain,
% 7.82/6.03 ((~(v22(constB118) <=> (v1(constB118) | v6(constB118)))) | v22(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24679, 24678])).
% 7.82/6.03 tff(24681,plain,
% 7.82/6.03 (v22(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24680, 24676])).
% 7.82/6.03 tff(24682,plain,
% 7.82/6.03 ((~((~v19(constB118)) | (~v22(constB118)))) | (~v19(constB118)) | (~v22(constB118))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24683,plain,
% 7.82/6.03 ((~((~v19(constB118)) | (~v22(constB118)))) | (~v19(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24682, 24681])).
% 7.82/6.03 tff(24684,plain,
% 7.82/6.03 (~v19(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24683, 24674])).
% 7.82/6.03 tff(24685,plain,
% 7.82/6.03 ((~(v19(constB118) <=> (v20(constB118) | v21(constB118)))) | v19(constB118) | (~(v20(constB118) | v21(constB118)))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24686,plain,
% 7.82/6.03 (~(v20(constB118) | v21(constB118))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24685, 24684, 24664])).
% 7.82/6.03 tff(24687,plain,
% 7.82/6.03 ((v20(constB118) | v21(constB118)) | (~v21(constB118))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24688,plain,
% 7.82/6.03 (~v21(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24687, 24686])).
% 7.82/6.03 tff(24689,plain,
% 7.82/6.03 ((~((~v21(constB118)) <=> v6(constB118))) | v21(constB118) | v6(constB118)),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24690,plain,
% 7.82/6.03 (v6(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24689, 24688, 24662])).
% 7.82/6.03 tff(24691,plain,
% 7.82/6.03 ((~(v6(constB118) <=> v13(constB118))) | (~v6(constB118)) | v13(constB118)),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24692,plain,
% 7.82/6.03 (v13(constB118)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24691, 24690, 24660])).
% 7.82/6.03 tff(24693,plain,
% 7.82/6.03 ((~(v13(constB118) <=> v9(constB117))) | (~v13(constB118)) | v9(constB117)),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24694,plain,
% 7.82/6.03 (v9(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24693, 24692, 24658])).
% 7.82/6.03 tff(24695,plain,
% 7.82/6.03 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB117)) <=> v1(constB117))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24696,plain,
% 7.82/6.03 ((~v39(constB117)) <=> v1(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24695, 129])).
% 7.82/6.03 tff(24697,plain,
% 7.82/6.03 ((~((~v39(constB117)) <=> v1(constB117))) | v39(constB117) | v1(constB117)),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24698,plain,
% 7.82/6.03 ((~((~v39(constB117)) <=> v1(constB117))) | v39(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24697, 14645])).
% 7.82/6.03 tff(24699,plain,
% 7.82/6.03 (v39(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24698, 24696])).
% 7.82/6.03 tff(24700,plain,
% 7.82/6.03 ((~((~v39(constB117)) | (~v9(constB117)))) | (~v39(constB117)) | (~v9(constB117))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24701,plain,
% 7.82/6.03 ((~((~v39(constB117)) | (~v9(constB117)))) | (~v9(constB117))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24700, 24699])).
% 7.82/6.03 tff(24702,plain,
% 7.82/6.03 (~((~v39(constB117)) | (~v9(constB117)))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24701, 24694])).
% 7.82/6.03 tff(24703,plain,
% 7.82/6.03 ((~(v184(constB117) <=> (~((~v39(constB117)) | (~v9(constB117)))))) | v184(constB117) | ((~v39(constB117)) | (~v9(constB117)))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24704,plain,
% 7.82/6.03 (v184(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24703, 24702, 24654])).
% 7.82/6.03 tff(24705,plain,
% 7.82/6.03 ((v184(constB117) | v26(constB117)) | (~v184(constB117))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24706,plain,
% 7.82/6.03 (v184(constB117) | v26(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24705, 24704])).
% 7.82/6.03 tff(24707,plain,
% 7.82/6.03 ((~(v183(constB117) <=> (v184(constB117) | v26(constB117)))) | v183(constB117) | (~(v184(constB117) | v26(constB117)))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24708,plain,
% 7.82/6.03 (v183(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24707, 24706, 24652])).
% 7.82/6.03 tff(24709,plain,
% 7.82/6.03 ((~((~v182(constB117)) <=> v183(constB117))) | (~v182(constB117)) | (~v183(constB117))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24710,plain,
% 7.82/6.03 (~v182(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24709, 24708, 24650])).
% 7.82/6.03 tff(24711,plain,
% 7.82/6.03 (((~v157(constB117)) | (~v182(constB117))) | v182(constB117)),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24712,plain,
% 7.82/6.03 ((~v157(constB117)) | (~v182(constB117))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24711, 24710])).
% 7.82/6.03 tff(24713,plain,
% 7.82/6.03 ((~(v181(constB117) <=> (~((~v157(constB117)) | (~v182(constB117)))))) | (~v181(constB117)) | (~((~v157(constB117)) | (~v182(constB117))))),
% 7.82/6.03 inference(tautology,[status(thm)],[])).
% 7.82/6.03 tff(24714,plain,
% 7.82/6.03 (~v181(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24713, 24712, 24648])).
% 7.82/6.03 tff(24715,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB117) <=> (~((~v186(constB117)) | (~v187(constB117)))))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24716,plain,
% 7.82/6.03 (v185(constB117) <=> (~((~v186(constB117)) | (~v187(constB117))))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24715, 96])).
% 7.82/6.03 tff(24717,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB117) <=> (~((~v184(constB117)) | (~v159(constB117)))))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24718,plain,
% 7.82/6.03 (v187(constB117) <=> (~((~v184(constB117)) | (~v159(constB117))))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24717, 108])).
% 7.82/6.03 tff(24719,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB117) <=> v161(constB117))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24720,plain,
% 7.82/6.03 (v159(constB117) <=> v161(constB117)),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24719, 345])).
% 7.82/6.03 tff(24721,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB117) <=> (v145(constB117) | v165(constB117)))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24722,plain,
% 7.82/6.03 (v164(constB117) <=> (v145(constB117) | v165(constB117))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24721, 357])).
% 7.82/6.03 tff(24723,plain,
% 7.82/6.03 (^[VarCurr: $i] : refl((v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))))),
% 7.82/6.03 inference(bind,[status(th)],[])).
% 7.82/6.03 tff(24724,plain,
% 7.82/6.03 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 7.82/6.03 inference(quant_intro,[status(thm)],[24723])).
% 7.82/6.03 tff(24725,plain,
% 7.82/6.03 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 7.82/6.03 inference(rewrite,[status(thm)],[])).
% 7.82/6.03 tff(24726,axiom,(![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32')).
% 7.82/6.03 tff(24727,plain,
% 7.82/6.03 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[24726, 24725])).
% 7.82/6.03 tff(24728,plain,(
% 7.82/6.03 ![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 7.82/6.03 inference(skolemize,[status(sab)],[24727])).
% 7.82/6.03 tff(24729,plain,
% 7.82/6.03 (![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[24728, 24724])).
% 7.82/6.03 tff(24730,plain,
% 7.82/6.03 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB117) <=> (v146(constB117) | v147(constB117)))),
% 7.82/6.03 inference(quant_inst,[status(thm)],[])).
% 7.82/6.03 tff(24731,plain,
% 7.82/6.03 (v145(constB117) <=> (v146(constB117) | v147(constB117))),
% 7.82/6.03 inference(unit_resolution,[status(thm)],[24730, 24729])).
% 7.82/6.03 tff(24732,plain,
% 7.82/6.03 (^[VarCurr: $i] : refl((v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2))))) <=> (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2))))))),
% 7.82/6.03 inference(bind,[status(th)],[])).
% 7.82/6.03 tff(24733,plain,
% 7.82/6.03 (![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))),
% 7.82/6.03 inference(quant_intro,[status(thm)],[24732])).
% 7.82/6.03 tff(24734,plain,
% 7.82/6.03 (^[VarCurr: $i] : rewrite((v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2))))))),
% 7.82/6.03 inference(bind,[status(th)],[])).
% 7.82/6.03 tff(24735,plain,
% 7.82/6.03 (![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))),
% 7.82/6.03 inference(quant_intro,[status(thm)],[24734])).
% 7.82/6.03 tff(24736,plain,
% 7.82/6.03 (![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.82/6.03 inference(rewrite,[status(thm)],[])).
% 7.82/6.03 tff(24737,plain,
% 7.82/6.03 (^[VarCurr: $i] : rewrite((v146(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0)))))),
% 7.82/6.03 inference(bind,[status(th)],[])).
% 7.82/6.03 tff(24738,plain,
% 7.82/6.03 (![VarCurr: $i] : (v146(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.82/6.03 inference(quant_intro,[status(thm)],[24737])).
% 7.82/6.03 tff(24739,axiom,(![VarCurr: $i] : (v146(VarCurr) <=> (((v88(VarCurr, bitIndex2) <=> $true) & (v88(VarCurr, bitIndex1) <=> $false)) & (v88(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14')).
% 7.82/6.03 tff(24740,plain,
% 7.82/6.03 (![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[24739, 24738])).
% 7.82/6.03 tff(24741,plain,
% 7.82/6.03 (![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[24740, 24736])).
% 7.82/6.03 tff(24742,plain,(
% 7.82/6.03 ![VarCurr: $i] : (v146(VarCurr) <=> (v88(VarCurr, bitIndex2) & (~v88(VarCurr, bitIndex1)) & (~v88(VarCurr, bitIndex0))))),
% 7.82/6.03 inference(skolemize,[status(sab)],[24741])).
% 7.82/6.03 tff(24743,plain,
% 7.82/6.03 (![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[24742, 24735])).
% 7.82/6.03 tff(24744,plain,
% 7.82/6.03 (![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))),
% 7.82/6.03 inference(modus_ponens,[status(thm)],[24743, 24733])).
% 7.82/6.03 tff(24745,plain,
% 7.82/6.03 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0)))))),
% 7.82/6.03 inference(rewrite,[status(thm)],[])).
% 7.92/6.03 tff(24746,plain,
% 7.92/6.03 ((v146(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2))))) <=> (v146(constB117) <=> (~(v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0))))),
% 7.92/6.03 inference(rewrite,[status(thm)],[])).
% 7.92/6.03 tff(24747,plain,
% 7.92/6.03 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0)))))),
% 7.92/6.03 inference(monotonicity,[status(thm)],[24746])).
% 7.92/6.03 tff(24748,plain,
% 7.92/6.03 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0)))))),
% 7.92/6.03 inference(transitivity,[status(thm)],[24747, 24745])).
% 7.92/6.03 tff(24749,plain,
% 7.92/6.03 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)))))),
% 7.92/6.03 inference(quant_inst,[status(thm)],[])).
% 7.92/6.03 tff(24750,plain,
% 7.92/6.03 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB117) <=> (~(v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0))))),
% 7.92/6.03 inference(modus_ponens,[status(thm)],[24749, 24748])).
% 7.92/6.03 tff(24751,plain,
% 7.92/6.03 (v146(constB117) <=> (~(v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0)))),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24750, 24744])).
% 7.92/6.03 tff(24752,plain,
% 7.92/6.03 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB117, bitIndex1)) <=> v90(constB117, bitIndex1)) | ((~v88(constB117, bitIndex2)) <=> v90(constB117, bitIndex2)) | ((~v88(constB117, bitIndex0)) <=> v90(constB117, bitIndex0))))),
% 7.92/6.03 inference(quant_inst,[status(thm)],[])).
% 7.92/6.03 tff(24753,plain,
% 7.92/6.03 (~(((~v88(constB117, bitIndex1)) <=> v90(constB117, bitIndex1)) | ((~v88(constB117, bitIndex2)) <=> v90(constB117, bitIndex2)) | ((~v88(constB117, bitIndex0)) <=> v90(constB117, bitIndex0)))),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24752, 416])).
% 7.92/6.03 tff(24754,plain,
% 7.92/6.03 ((((~v88(constB117, bitIndex1)) <=> v90(constB117, bitIndex1)) | ((~v88(constB117, bitIndex2)) <=> v90(constB117, bitIndex2)) | ((~v88(constB117, bitIndex0)) <=> v90(constB117, bitIndex0))) | (~((~v88(constB117, bitIndex2)) <=> v90(constB117, bitIndex2)))),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24755,plain,
% 7.92/6.03 (~((~v88(constB117, bitIndex2)) <=> v90(constB117, bitIndex2))),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24754, 24753])).
% 7.92/6.03 tff(24756,plain,
% 7.92/6.03 (((~v88(constB117, bitIndex2)) <=> v90(constB117, bitIndex2)) | v88(constB117, bitIndex2) | (~v90(constB117, bitIndex2))),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24757,plain,
% 7.92/6.03 (v88(constB117, bitIndex2)),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24756, 16116, 24755])).
% 7.92/6.03 tff(24758,plain,
% 7.92/6.03 ((((~v88(constB117, bitIndex1)) <=> v90(constB117, bitIndex1)) | ((~v88(constB117, bitIndex2)) <=> v90(constB117, bitIndex2)) | ((~v88(constB117, bitIndex0)) <=> v90(constB117, bitIndex0))) | (~((~v88(constB117, bitIndex0)) <=> v90(constB117, bitIndex0)))),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24759,plain,
% 7.92/6.03 (~((~v88(constB117, bitIndex0)) <=> v90(constB117, bitIndex0))),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24758, 24753])).
% 7.92/6.03 tff(24760,plain,
% 7.92/6.03 (((~v88(constB117, bitIndex0)) <=> v90(constB117, bitIndex0)) | (~v88(constB117, bitIndex0)) | v90(constB117, bitIndex0)),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24761,plain,
% 7.92/6.03 (~v88(constB117, bitIndex0)),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24760, 16134, 24759])).
% 7.92/6.03 tff(24762,plain,
% 7.92/6.03 ((((~v88(constB117, bitIndex1)) <=> v90(constB117, bitIndex1)) | ((~v88(constB117, bitIndex2)) <=> v90(constB117, bitIndex2)) | ((~v88(constB117, bitIndex0)) <=> v90(constB117, bitIndex0))) | (~((~v88(constB117, bitIndex1)) <=> v90(constB117, bitIndex1)))),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24763,plain,
% 7.92/6.03 (~((~v88(constB117, bitIndex1)) <=> v90(constB117, bitIndex1))),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24762, 24753])).
% 7.92/6.03 tff(24764,plain,
% 7.92/6.03 (((~v88(constB117, bitIndex1)) <=> v90(constB117, bitIndex1)) | (~v88(constB117, bitIndex1)) | v90(constB117, bitIndex1)),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24765,plain,
% 7.92/6.03 (~v88(constB117, bitIndex1)),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24764, 16152, 24763])).
% 7.92/6.03 tff(24766,plain,
% 7.92/6.03 ((~(v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0))) | v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0)),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24767,plain,
% 7.92/6.03 (~(v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0))),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24766, 24765, 24761, 24757])).
% 7.92/6.03 tff(24768,plain,
% 7.92/6.03 ((~(v146(constB117) <=> (~(v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0))))) | v146(constB117) | (v88(constB117, bitIndex1) | (~v88(constB117, bitIndex2)) | v88(constB117, bitIndex0))),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24769,plain,
% 7.92/6.03 (v146(constB117)),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24768, 24767, 24751])).
% 7.92/6.03 tff(24770,plain,
% 7.92/6.03 ((v146(constB117) | v147(constB117)) | (~v146(constB117))),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24771,plain,
% 7.92/6.03 (v146(constB117) | v147(constB117)),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24770, 24769])).
% 7.92/6.03 tff(24772,plain,
% 7.92/6.03 ((~(v145(constB117) <=> (v146(constB117) | v147(constB117)))) | v145(constB117) | (~(v146(constB117) | v147(constB117)))),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24773,plain,
% 7.92/6.03 (v145(constB117)),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24772, 24771, 24731])).
% 7.92/6.03 tff(24774,plain,
% 7.92/6.03 ((v145(constB117) | v165(constB117)) | (~v145(constB117))),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24775,plain,
% 7.92/6.03 (v145(constB117) | v165(constB117)),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24774, 24773])).
% 7.92/6.03 tff(24776,plain,
% 7.92/6.03 ((~(v164(constB117) <=> (v145(constB117) | v165(constB117)))) | v164(constB117) | (~(v145(constB117) | v165(constB117)))),
% 7.92/6.03 inference(tautology,[status(thm)],[])).
% 7.92/6.03 tff(24777,plain,
% 7.92/6.03 ((~(v164(constB117) <=> (v145(constB117) | v165(constB117)))) | v164(constB117)),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24776, 24775])).
% 7.92/6.03 tff(24778,plain,
% 7.92/6.03 (v164(constB117)),
% 7.92/6.03 inference(unit_resolution,[status(thm)],[24777, 24722])).
% 7.92/6.03 tff(24779,plain,
% 7.92/6.03 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB117)) | (v161(constB117) <=> v168(constB117)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB117)) | (v161(constB117) <=> v168(constB117)))),
% 7.92/6.03 inference(rewrite,[status(thm)],[])).
% 7.92/6.03 tff(24780,plain,
% 7.92/6.03 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB117)) | (v161(constB117) <=> v168(constB117)))),
% 7.92/6.03 inference(quant_inst,[status(thm)],[])).
% 7.92/6.03 tff(24781,plain,
% 7.92/6.03 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB117)) | (v161(constB117) <=> v168(constB117))),
% 7.92/6.03 inference(modus_ponens,[status(thm)],[24780, 24779])).
% 7.92/6.03 tff(24782,plain,
% 7.92/6.04 ((~v164(constB117)) | (v161(constB117) <=> v168(constB117))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24781, 12128])).
% 7.92/6.04 tff(24783,plain,
% 7.92/6.04 (v161(constB117) <=> v168(constB117)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24782, 24778])).
% 7.92/6.04 tff(24784,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24785,plain,
% 7.92/6.04 (v139(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24784, 12146])).
% 7.92/6.04 tff(24786,plain,
% 7.92/6.04 ((v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)) | (~v88(constB117, bitIndex2))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24787,plain,
% 7.92/6.04 (v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24786, 24757])).
% 7.92/6.04 tff(24788,plain,
% 7.92/6.04 ((~(v139(constB117) <=> (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2))))) | (~v139(constB117)) | (~(v88(constB117, bitIndex0) | v88(constB117, bitIndex1) | v88(constB117, bitIndex2)))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24789,plain,
% 7.92/6.04 (~v139(constB117)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24788, 24787, 24785])).
% 7.92/6.04 tff(24790,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24791,plain,
% 7.92/6.04 (v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0))))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24790, 12165])).
% 7.92/6.04 tff(24792,plain,
% 7.92/6.04 ((v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0))) | (~v88(constB117, bitIndex2))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24793,plain,
% 7.92/6.04 (v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24792, 24757])).
% 7.92/6.04 tff(24794,plain,
% 7.92/6.04 ((~(v140(constB117) <=> (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0)))))) | (~v140(constB117)) | (~(v88(constB117, bitIndex1) | v88(constB117, bitIndex2) | (~v88(constB117, bitIndex0))))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24795,plain,
% 7.92/6.04 (~v140(constB117)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24794, 24793, 24791])).
% 7.92/6.04 tff(24796,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB117) | v140(constB117) | (~v168(constB117)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB117) | v140(constB117) | (~v168(constB117)))),
% 7.92/6.04 inference(rewrite,[status(thm)],[])).
% 7.92/6.04 tff(24797,plain,
% 7.92/6.04 ((v140(constB117) | v139(constB117) | (~v168(constB117))) <=> (v139(constB117) | v140(constB117) | (~v168(constB117)))),
% 7.92/6.04 inference(rewrite,[status(thm)],[])).
% 7.92/6.04 tff(24798,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB117) | v139(constB117) | (~v168(constB117)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB117) | v140(constB117) | (~v168(constB117))))),
% 7.92/6.04 inference(monotonicity,[status(thm)],[24797])).
% 7.92/6.04 tff(24799,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB117) | v139(constB117) | (~v168(constB117)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB117) | v140(constB117) | (~v168(constB117)))),
% 7.92/6.04 inference(transitivity,[status(thm)],[24798, 24796])).
% 7.92/6.04 tff(24800,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB117) | v139(constB117) | (~v168(constB117)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24801,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB117) | v140(constB117) | (~v168(constB117))),
% 7.92/6.04 inference(modus_ponens,[status(thm)],[24800, 24799])).
% 7.92/6.04 tff(24802,plain,
% 7.92/6.04 (v139(constB117) | v140(constB117) | (~v168(constB117))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24801, 12184])).
% 7.92/6.04 tff(24803,plain,
% 7.92/6.04 (~v168(constB117)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24802, 24795, 24789])).
% 7.92/6.04 tff(24804,plain,
% 7.92/6.04 ((~(v161(constB117) <=> v168(constB117))) | (~v161(constB117)) | v168(constB117)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24805,plain,
% 7.92/6.04 ((~(v161(constB117) <=> v168(constB117))) | (~v161(constB117))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24804, 24803])).
% 7.92/6.04 tff(24806,plain,
% 7.92/6.04 (~v161(constB117)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24805, 24783])).
% 7.92/6.04 tff(24807,plain,
% 7.92/6.04 ((~(v159(constB117) <=> v161(constB117))) | (~v159(constB117)) | v161(constB117)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24808,plain,
% 7.92/6.04 ((~(v159(constB117) <=> v161(constB117))) | (~v159(constB117))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24807, 24806])).
% 7.92/6.04 tff(24809,plain,
% 7.92/6.04 (~v159(constB117)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24808, 24720])).
% 7.92/6.04 tff(24810,plain,
% 7.92/6.04 (((~v184(constB117)) | (~v159(constB117))) | v159(constB117)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24811,plain,
% 7.92/6.04 ((~v184(constB117)) | (~v159(constB117))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24810, 24809])).
% 7.92/6.04 tff(24812,plain,
% 7.92/6.04 ((~(v187(constB117) <=> (~((~v184(constB117)) | (~v159(constB117)))))) | (~v187(constB117)) | (~((~v184(constB117)) | (~v159(constB117))))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24813,plain,
% 7.92/6.04 (~v187(constB117)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24812, 24811, 24718])).
% 7.92/6.04 tff(24814,plain,
% 7.92/6.04 (((~v186(constB117)) | (~v187(constB117))) | v187(constB117)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24815,plain,
% 7.92/6.04 ((~v186(constB117)) | (~v187(constB117))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24814, 24813])).
% 7.92/6.04 tff(24816,plain,
% 7.92/6.04 ((~(v185(constB117) <=> (~((~v186(constB117)) | (~v187(constB117)))))) | (~v185(constB117)) | (~((~v186(constB117)) | (~v187(constB117))))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24817,plain,
% 7.92/6.04 (~v185(constB117)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24816, 24815, 24716])).
% 7.92/6.04 tff(24818,plain,
% 7.92/6.04 ((~(v181(constB117) | v185(constB117))) | v181(constB117) | v185(constB117)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24819,plain,
% 7.92/6.04 (~(v181(constB117) | v185(constB117))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24818, 24817, 24714])).
% 7.92/6.04 tff(24820,plain,
% 7.92/6.04 ((~(v178(constB117) <=> (v181(constB117) | v185(constB117)))) | (~v178(constB117)) | (v181(constB117) | v185(constB117))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24821,plain,
% 7.92/6.04 (~v178(constB117)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24820, 24819, 24641])).
% 7.92/6.04 tff(24822,plain,
% 7.92/6.04 ((~(v180(constB118) <=> v178(constB117))) | (~v180(constB118)) | v178(constB117)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24823,plain,
% 7.92/6.04 (~v180(constB118)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24822, 24821, 24639])).
% 7.92/6.04 tff(24824,plain,
% 7.92/6.04 ((~(v157(constB118) <=> v180(constB118))) | (~v157(constB118)) | v180(constB118)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24825,plain,
% 7.92/6.04 (~v157(constB118)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24824, 24823, 24635])).
% 7.92/6.04 tff(24826,plain,
% 7.92/6.04 (((~v157(constB118)) | (~v182(constB118))) | v157(constB118)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24827,plain,
% 7.92/6.04 ((~v157(constB118)) | (~v182(constB118))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24826, 24825])).
% 7.92/6.04 tff(24828,plain,
% 7.92/6.04 ((~(v181(constB118) <=> (~((~v157(constB118)) | (~v182(constB118)))))) | (~v181(constB118)) | (~((~v157(constB118)) | (~v182(constB118))))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24829,plain,
% 7.92/6.04 (~v181(constB118)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24828, 24827, 24633])).
% 7.92/6.04 tff(24830,plain,
% 7.92/6.04 ((~(v181(constB118) | v185(constB118))) | v181(constB118) | v185(constB118)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24831,plain,
% 7.92/6.04 (~(v181(constB118) | v185(constB118))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24830, 24829, 24626])).
% 7.92/6.04 tff(24832,plain,
% 7.92/6.04 ((~(v178(constB118) <=> (v181(constB118) | v185(constB118)))) | (~v178(constB118)) | (v181(constB118) | v185(constB118))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24833,plain,
% 7.92/6.04 (~v178(constB118)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24832, 24831, 24601])).
% 7.92/6.04 tff(24834,plain,
% 7.92/6.04 ((~(v180(constB119) <=> v178(constB118))) | (~v180(constB119)) | v178(constB118)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24835,plain,
% 7.92/6.04 (~v180(constB119)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24834, 24833, 24599])).
% 7.92/6.04 tff(24836,plain,
% 7.92/6.04 ($false),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24835, 24595])).
% 7.92/6.04 tff(24837,plain,(~(constB119 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.92/6.04 tff(24838,assumption,(constB165 = VarCurr!0), introduced(assumption)).
% 7.92/6.04 tff(24839,plain,
% 7.92/6.04 (v180(constB165) <=> v180(VarCurr!0)),
% 7.92/6.04 inference(monotonicity,[status(thm)],[24838])).
% 7.92/6.04 tff(24840,plain,
% 7.92/6.04 (v180(VarCurr!0) <=> v180(constB165)),
% 7.92/6.04 inference(symmetry,[status(thm)],[24839])).
% 7.92/6.04 tff(24841,plain,
% 7.92/6.04 (v180(constB165)),
% 7.92/6.04 inference(modus_ponens,[status(thm)],[59, 24840])).
% 7.92/6.04 tff(24842,plain,
% 7.92/6.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB164, constB165)) | (v180(constB165) <=> v178(constB164)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB164, constB165)) | (v180(constB165) <=> v178(constB164)))),
% 7.92/6.04 inference(rewrite,[status(thm)],[])).
% 7.92/6.04 tff(24843,plain,
% 7.92/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB164, constB165)) | (v180(constB165) <=> v178(constB164)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24844,plain,
% 7.92/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB164, constB165)) | (v180(constB165) <=> v178(constB164))),
% 7.92/6.04 inference(modus_ponens,[status(thm)],[24843, 24842])).
% 7.92/6.04 tff(24845,plain,
% 7.92/6.04 (v180(constB165) <=> v178(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24844, 13087, 70])).
% 7.92/6.04 tff(24846,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB164) <=> (v181(constB164) | v185(constB164)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24847,plain,
% 7.92/6.04 (v178(constB164) <=> (v181(constB164) | v185(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24846, 84])).
% 7.92/6.04 tff(24848,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB164) <=> (~((~v186(constB164)) | (~v187(constB164)))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24849,plain,
% 7.92/6.04 (v185(constB164) <=> (~((~v186(constB164)) | (~v187(constB164))))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24848, 96])).
% 7.92/6.04 tff(24850,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB164) <=> (~((~v184(constB164)) | (~v159(constB164)))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24851,plain,
% 7.92/6.04 (v187(constB164) <=> (~((~v184(constB164)) | (~v159(constB164))))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24850, 108])).
% 7.92/6.04 tff(24852,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24853,plain,
% 7.92/6.04 (v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164))))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24852, 120])).
% 7.92/6.04 tff(24854,plain,
% 7.92/6.04 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB164)) <=> v1(constB164))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24855,plain,
% 7.92/6.04 ((~v39(constB164)) <=> v1(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24854, 129])).
% 7.92/6.04 tff(24856,plain,
% 7.92/6.04 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164)) | (~v1(constB164))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24857,plain,
% 7.92/6.04 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24856, 19788])).
% 7.92/6.04 tff(24858,plain,
% 7.92/6.04 (~v39(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24857, 24855])).
% 7.92/6.04 tff(24859,plain,
% 7.92/6.04 (((~v39(constB164)) | (~v9(constB164))) | v39(constB164)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24860,plain,
% 7.92/6.04 ((~v39(constB164)) | (~v9(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24859, 24858])).
% 7.92/6.04 tff(24861,plain,
% 7.92/6.04 ((~(v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v184(constB164)) | (~((~v39(constB164)) | (~v9(constB164))))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24862,plain,
% 7.92/6.04 ((~(v184(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v184(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24861, 24860])).
% 7.92/6.04 tff(24863,plain,
% 7.92/6.04 (~v184(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24862, 24853])).
% 7.92/6.04 tff(24864,plain,
% 7.92/6.04 (((~v184(constB164)) | (~v159(constB164))) | v184(constB164)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24865,plain,
% 7.92/6.04 ((~v184(constB164)) | (~v159(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24864, 24863])).
% 7.92/6.04 tff(24866,plain,
% 7.92/6.04 ((~(v187(constB164) <=> (~((~v184(constB164)) | (~v159(constB164)))))) | (~v187(constB164)) | (~((~v184(constB164)) | (~v159(constB164))))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24867,plain,
% 7.92/6.04 ((~(v187(constB164) <=> (~((~v184(constB164)) | (~v159(constB164)))))) | (~v187(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24866, 24865])).
% 7.92/6.04 tff(24868,plain,
% 7.92/6.04 (~v187(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24867, 24851])).
% 7.92/6.04 tff(24869,plain,
% 7.92/6.04 (((~v186(constB164)) | (~v187(constB164))) | v187(constB164)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24870,plain,
% 7.92/6.04 ((~v186(constB164)) | (~v187(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24869, 24868])).
% 7.92/6.04 tff(24871,plain,
% 7.92/6.04 ((~(v185(constB164) <=> (~((~v186(constB164)) | (~v187(constB164)))))) | (~v185(constB164)) | (~((~v186(constB164)) | (~v187(constB164))))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24872,plain,
% 7.92/6.04 (~v185(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24871, 24870, 24849])).
% 7.92/6.04 tff(24873,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164))))))),
% 7.92/6.04 inference(rewrite,[status(thm)],[])).
% 7.92/6.04 tff(24874,plain,
% 7.92/6.04 ((v181(constB164) <=> (~((~v182(constB164)) | (~v157(constB164))))) <=> (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164)))))),
% 7.92/6.04 inference(rewrite,[status(thm)],[])).
% 7.92/6.04 tff(24875,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v182(constB164)) | (~v157(constB164)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164))))))),
% 7.92/6.04 inference(monotonicity,[status(thm)],[24874])).
% 7.92/6.04 tff(24876,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v182(constB164)) | (~v157(constB164)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164))))))),
% 7.92/6.04 inference(transitivity,[status(thm)],[24875, 24873])).
% 7.92/6.04 tff(24877,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v182(constB164)) | (~v157(constB164)))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24878,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164)))))),
% 7.92/6.04 inference(modus_ponens,[status(thm)],[24877, 24876])).
% 7.92/6.04 tff(24879,plain,
% 7.92/6.04 (v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164))))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24878, 161])).
% 7.92/6.04 tff(24880,plain,
% 7.92/6.04 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB164) <=> v180(constB164))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24881,plain,
% 7.92/6.04 (v157(constB164) <=> v180(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24880, 13])).
% 7.92/6.04 tff(24882,plain,
% 7.92/6.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB163, constB164)) | (v180(constB164) <=> v178(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB163, constB164)) | (v180(constB164) <=> v178(constB163)))),
% 7.92/6.04 inference(rewrite,[status(thm)],[])).
% 7.92/6.04 tff(24883,plain,
% 7.92/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB163, constB164)) | (v180(constB164) <=> v178(constB163)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24884,plain,
% 7.92/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB163, constB164)) | (v180(constB164) <=> v178(constB163))),
% 7.92/6.04 inference(modus_ponens,[status(thm)],[24883, 24882])).
% 7.92/6.04 tff(24885,plain,
% 7.92/6.04 (v180(constB164) <=> v178(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24884, 13123, 70])).
% 7.92/6.04 tff(24886,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB163) <=> (v181(constB163) | v185(constB163)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24887,plain,
% 7.92/6.04 (v178(constB163) <=> (v181(constB163) | v185(constB163))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24886, 84])).
% 7.92/6.04 tff(24888,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163))))))),
% 7.92/6.04 inference(rewrite,[status(thm)],[])).
% 7.92/6.04 tff(24889,plain,
% 7.92/6.04 ((v181(constB163) <=> (~((~v182(constB163)) | (~v157(constB163))))) <=> (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163)))))),
% 7.92/6.04 inference(rewrite,[status(thm)],[])).
% 7.92/6.04 tff(24890,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v182(constB163)) | (~v157(constB163)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163))))))),
% 7.92/6.04 inference(monotonicity,[status(thm)],[24889])).
% 7.92/6.04 tff(24891,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v182(constB163)) | (~v157(constB163)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163))))))),
% 7.92/6.04 inference(transitivity,[status(thm)],[24890, 24888])).
% 7.92/6.04 tff(24892,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v182(constB163)) | (~v157(constB163)))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24893,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163)))))),
% 7.92/6.04 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 7.92/6.04 tff(24894,plain,
% 7.92/6.04 (v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163))))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24893, 161])).
% 7.92/6.04 tff(24895,plain,
% 7.92/6.04 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB163)) <=> v183(constB163))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24896,plain,
% 7.92/6.04 ((~v182(constB163)) <=> v183(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24895, 193])).
% 7.92/6.04 tff(24897,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB163) <=> (v184(constB163) | v26(constB163)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24898,plain,
% 7.92/6.04 (v183(constB163) <=> (v184(constB163) | v26(constB163))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24897, 202])).
% 7.92/6.04 tff(24899,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB163) <=> (~((~v39(constB163)) | (~v9(constB163)))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24900,plain,
% 7.92/6.04 (v184(constB163) <=> (~((~v39(constB163)) | (~v9(constB163))))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24899, 120])).
% 7.92/6.04 tff(24901,plain,
% 7.92/6.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163)))),
% 7.92/6.04 inference(rewrite,[status(thm)],[])).
% 7.92/6.04 tff(24902,plain,
% 7.92/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24903,plain,
% 7.92/6.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163))),
% 7.92/6.04 inference(modus_ponens,[status(thm)],[24902, 24901])).
% 7.92/6.04 tff(24904,plain,
% 7.92/6.04 (v13(constB164) <=> v9(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24903, 13123, 216])).
% 7.92/6.04 tff(24905,plain,
% 7.92/6.04 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB164) <=> v13(constB164))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24906,plain,
% 7.92/6.04 (v6(constB164) <=> v13(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24905, 230])).
% 7.92/6.04 tff(24907,plain,
% 7.92/6.04 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB164)) <=> v6(constB164))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24908,plain,
% 7.92/6.04 ((~v21(constB164)) <=> v6(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24907, 239])).
% 7.92/6.04 tff(24909,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB164) <=> (v20(constB164) | v21(constB164)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24910,plain,
% 7.92/6.04 (v19(constB164) <=> (v20(constB164) | v21(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24909, 248])).
% 7.92/6.04 tff(24911,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164)))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24912,plain,
% 7.92/6.04 (v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164))))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24911, 260])).
% 7.92/6.04 tff(24913,plain,
% 7.92/6.04 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB164)) <=> v18(constB164))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24914,plain,
% 7.92/6.04 ((~v4(constB164)) <=> v18(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24913, 269])).
% 7.92/6.04 tff(24915,plain,
% 7.92/6.04 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB164)),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24916,plain,
% 7.92/6.04 (v4(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24915, 278])).
% 7.92/6.04 tff(24917,plain,
% 7.92/6.04 ((~((~v4(constB164)) <=> v18(constB164))) | (~v4(constB164)) | (~v18(constB164))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24918,plain,
% 7.92/6.04 (~v18(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24917, 24916, 24914])).
% 7.92/6.04 tff(24919,plain,
% 7.92/6.04 ((~(v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164)))))) | v18(constB164) | ((~v19(constB164)) | (~v22(constB164)))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24920,plain,
% 7.92/6.04 ((~v19(constB164)) | (~v22(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24919, 24918, 24912])).
% 7.92/6.04 tff(24921,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB164) <=> (v1(constB164) | v6(constB164)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24922,plain,
% 7.92/6.04 (v22(constB164) <=> (v1(constB164) | v6(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24921, 291])).
% 7.92/6.04 tff(24923,plain,
% 7.92/6.04 ((v1(constB164) | v6(constB164)) | (~v1(constB164))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24924,plain,
% 7.92/6.04 (v1(constB164) | v6(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24923, 19788])).
% 7.92/6.04 tff(24925,plain,
% 7.92/6.04 ((~(v22(constB164) <=> (v1(constB164) | v6(constB164)))) | v22(constB164) | (~(v1(constB164) | v6(constB164)))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24926,plain,
% 7.92/6.04 ((~(v22(constB164) <=> (v1(constB164) | v6(constB164)))) | v22(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24925, 24924])).
% 7.92/6.04 tff(24927,plain,
% 7.92/6.04 (v22(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24926, 24922])).
% 7.92/6.04 tff(24928,plain,
% 7.92/6.04 ((~((~v19(constB164)) | (~v22(constB164)))) | (~v19(constB164)) | (~v22(constB164))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24929,plain,
% 7.92/6.04 ((~((~v19(constB164)) | (~v22(constB164)))) | (~v19(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24928, 24927])).
% 7.92/6.04 tff(24930,plain,
% 7.92/6.04 (~v19(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24929, 24920])).
% 7.92/6.04 tff(24931,plain,
% 7.92/6.04 ((~(v19(constB164) <=> (v20(constB164) | v21(constB164)))) | v19(constB164) | (~(v20(constB164) | v21(constB164)))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24932,plain,
% 7.92/6.04 (~(v20(constB164) | v21(constB164))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24931, 24930, 24910])).
% 7.92/6.04 tff(24933,plain,
% 7.92/6.04 ((v20(constB164) | v21(constB164)) | (~v21(constB164))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24934,plain,
% 7.92/6.04 (~v21(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24933, 24932])).
% 7.92/6.04 tff(24935,plain,
% 7.92/6.04 ((~((~v21(constB164)) <=> v6(constB164))) | v21(constB164) | v6(constB164)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24936,plain,
% 7.92/6.04 (v6(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24935, 24934, 24908])).
% 7.92/6.04 tff(24937,plain,
% 7.92/6.04 ((~(v6(constB164) <=> v13(constB164))) | (~v6(constB164)) | v13(constB164)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24938,plain,
% 7.92/6.04 (v13(constB164)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24937, 24936, 24906])).
% 7.92/6.04 tff(24939,plain,
% 7.92/6.04 ((~(v13(constB164) <=> v9(constB163))) | (~v13(constB164)) | v9(constB163)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24940,plain,
% 7.92/6.04 (v9(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24939, 24938, 24904])).
% 7.92/6.04 tff(24941,plain,
% 7.92/6.04 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB163)) <=> v1(constB163))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24942,plain,
% 7.92/6.04 ((~v39(constB163)) <=> v1(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24941, 129])).
% 7.92/6.04 tff(24943,plain,
% 7.92/6.04 ((~((~v39(constB163)) <=> v1(constB163))) | v39(constB163) | v1(constB163)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24944,plain,
% 7.92/6.04 ((~((~v39(constB163)) <=> v1(constB163))) | v39(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24943, 13167])).
% 7.92/6.04 tff(24945,plain,
% 7.92/6.04 (v39(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24944, 24942])).
% 7.92/6.04 tff(24946,plain,
% 7.92/6.04 ((~((~v39(constB163)) | (~v9(constB163)))) | (~v39(constB163)) | (~v9(constB163))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24947,plain,
% 7.92/6.04 ((~((~v39(constB163)) | (~v9(constB163)))) | (~v9(constB163))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24946, 24945])).
% 7.92/6.04 tff(24948,plain,
% 7.92/6.04 (~((~v39(constB163)) | (~v9(constB163)))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24947, 24940])).
% 7.92/6.04 tff(24949,plain,
% 7.92/6.04 ((~(v184(constB163) <=> (~((~v39(constB163)) | (~v9(constB163)))))) | v184(constB163) | ((~v39(constB163)) | (~v9(constB163)))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24950,plain,
% 7.92/6.04 (v184(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24949, 24948, 24900])).
% 7.92/6.04 tff(24951,plain,
% 7.92/6.04 ((v184(constB163) | v26(constB163)) | (~v184(constB163))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24952,plain,
% 7.92/6.04 (v184(constB163) | v26(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24951, 24950])).
% 7.92/6.04 tff(24953,plain,
% 7.92/6.04 ((~(v183(constB163) <=> (v184(constB163) | v26(constB163)))) | v183(constB163) | (~(v184(constB163) | v26(constB163)))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24954,plain,
% 7.92/6.04 (v183(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24953, 24952, 24898])).
% 7.92/6.04 tff(24955,plain,
% 7.92/6.04 ((~((~v182(constB163)) <=> v183(constB163))) | (~v182(constB163)) | (~v183(constB163))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24956,plain,
% 7.92/6.04 (~v182(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24955, 24954, 24896])).
% 7.92/6.04 tff(24957,plain,
% 7.92/6.04 (((~v157(constB163)) | (~v182(constB163))) | v182(constB163)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24958,plain,
% 7.92/6.04 ((~v157(constB163)) | (~v182(constB163))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24957, 24956])).
% 7.92/6.04 tff(24959,plain,
% 7.92/6.04 ((~(v181(constB163) <=> (~((~v157(constB163)) | (~v182(constB163)))))) | (~v181(constB163)) | (~((~v157(constB163)) | (~v182(constB163))))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24960,plain,
% 7.92/6.04 (~v181(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24959, 24958, 24894])).
% 7.92/6.04 tff(24961,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB163) <=> (~((~v186(constB163)) | (~v187(constB163)))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24962,plain,
% 7.92/6.04 (v185(constB163) <=> (~((~v186(constB163)) | (~v187(constB163))))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24961, 96])).
% 7.92/6.04 tff(24963,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB163) <=> (~((~v184(constB163)) | (~v159(constB163)))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24964,plain,
% 7.92/6.04 (v187(constB163) <=> (~((~v184(constB163)) | (~v159(constB163))))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24963, 108])).
% 7.92/6.04 tff(24965,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB163) <=> v161(constB163))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24966,plain,
% 7.92/6.04 (v159(constB163) <=> v161(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24965, 345])).
% 7.92/6.04 tff(24967,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB163) <=> (v145(constB163) | v165(constB163)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24968,plain,
% 7.92/6.04 (v164(constB163) <=> (v145(constB163) | v165(constB163))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24967, 357])).
% 7.92/6.04 tff(24969,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB163) <=> (v142(constB163) | v166(constB163)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24970,plain,
% 7.92/6.04 (v165(constB163) <=> (v142(constB163) | v166(constB163))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24969, 369])).
% 7.92/6.04 tff(24971,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB163) <=> (v141(constB163) | v167(constB163)))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24972,plain,
% 7.92/6.04 (v166(constB163) <=> (v141(constB163) | v167(constB163))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24971, 381])).
% 7.92/6.04 tff(24973,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB163) <=> (~((~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB163) <=> (~((~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0))))))),
% 7.92/6.04 inference(rewrite,[status(thm)],[])).
% 7.92/6.04 tff(24974,plain,
% 7.92/6.04 ((v141(constB163) <=> (~(v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0))))) <=> (v141(constB163) <=> (~((~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))))),
% 7.92/6.04 inference(rewrite,[status(thm)],[])).
% 7.92/6.04 tff(24975,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB163) <=> (~(v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB163) <=> (~((~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0))))))),
% 7.92/6.04 inference(monotonicity,[status(thm)],[24974])).
% 7.92/6.04 tff(24976,plain,
% 7.92/6.04 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB163) <=> (~(v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB163) <=> (~((~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0))))))),
% 7.92/6.04 inference(transitivity,[status(thm)],[24975, 24973])).
% 7.92/6.04 tff(24977,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB163) <=> (~(v88(constB163, bitIndex2) | (~v88(constB163, bitIndex1)) | (~v88(constB163, bitIndex0)))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24978,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB163) <=> (~((~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))))),
% 7.92/6.04 inference(modus_ponens,[status(thm)],[24977, 24976])).
% 7.92/6.04 tff(24979,plain,
% 7.92/6.04 (v141(constB163) <=> (~((~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0))))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24978, 396])).
% 7.92/6.04 tff(24980,plain,
% 7.92/6.04 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB163, bitIndex1)) <=> v90(constB163, bitIndex1)) | ((~v88(constB163, bitIndex2)) <=> v90(constB163, bitIndex2)) | ((~v88(constB163, bitIndex0)) <=> v90(constB163, bitIndex0))))),
% 7.92/6.04 inference(quant_inst,[status(thm)],[])).
% 7.92/6.04 tff(24981,plain,
% 7.92/6.04 (~(((~v88(constB163, bitIndex1)) <=> v90(constB163, bitIndex1)) | ((~v88(constB163, bitIndex2)) <=> v90(constB163, bitIndex2)) | ((~v88(constB163, bitIndex0)) <=> v90(constB163, bitIndex0)))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24980, 416])).
% 7.92/6.04 tff(24982,plain,
% 7.92/6.04 ((((~v88(constB163, bitIndex1)) <=> v90(constB163, bitIndex1)) | ((~v88(constB163, bitIndex2)) <=> v90(constB163, bitIndex2)) | ((~v88(constB163, bitIndex0)) <=> v90(constB163, bitIndex0))) | (~((~v88(constB163, bitIndex2)) <=> v90(constB163, bitIndex2)))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24983,plain,
% 7.92/6.04 (~((~v88(constB163, bitIndex2)) <=> v90(constB163, bitIndex2))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24982, 24981])).
% 7.92/6.04 tff(24984,plain,
% 7.92/6.04 (((~v88(constB163, bitIndex2)) <=> v90(constB163, bitIndex2)) | (~v88(constB163, bitIndex2)) | v90(constB163, bitIndex2)),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24985,plain,
% 7.92/6.04 (~v88(constB163, bitIndex2)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24984, 19710, 24983])).
% 7.92/6.04 tff(24986,plain,
% 7.92/6.04 ((((~v88(constB163, bitIndex1)) <=> v90(constB163, bitIndex1)) | ((~v88(constB163, bitIndex2)) <=> v90(constB163, bitIndex2)) | ((~v88(constB163, bitIndex0)) <=> v90(constB163, bitIndex0))) | (~((~v88(constB163, bitIndex0)) <=> v90(constB163, bitIndex0)))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24987,plain,
% 7.92/6.04 (~((~v88(constB163, bitIndex0)) <=> v90(constB163, bitIndex0))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24986, 24981])).
% 7.92/6.04 tff(24988,plain,
% 7.92/6.04 (((~v88(constB163, bitIndex0)) <=> v90(constB163, bitIndex0)) | v88(constB163, bitIndex0) | (~v90(constB163, bitIndex0))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24989,plain,
% 7.92/6.04 (v88(constB163, bitIndex0)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24988, 19728, 24987])).
% 7.92/6.04 tff(24990,plain,
% 7.92/6.04 ((((~v88(constB163, bitIndex1)) <=> v90(constB163, bitIndex1)) | ((~v88(constB163, bitIndex2)) <=> v90(constB163, bitIndex2)) | ((~v88(constB163, bitIndex0)) <=> v90(constB163, bitIndex0))) | (~((~v88(constB163, bitIndex1)) <=> v90(constB163, bitIndex1)))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24991,plain,
% 7.92/6.04 (~((~v88(constB163, bitIndex1)) <=> v90(constB163, bitIndex1))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24990, 24981])).
% 7.92/6.04 tff(24992,plain,
% 7.92/6.04 (((~v88(constB163, bitIndex1)) <=> v90(constB163, bitIndex1)) | v88(constB163, bitIndex1) | (~v90(constB163, bitIndex1))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24993,plain,
% 7.92/6.04 (v88(constB163, bitIndex1)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24992, 19746, 24991])).
% 7.92/6.04 tff(24994,plain,
% 7.92/6.04 ((~((~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))) | (~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24995,plain,
% 7.92/6.04 (~((~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24994, 24993, 24989, 24985])).
% 7.92/6.04 tff(24996,plain,
% 7.92/6.04 ((~(v141(constB163) <=> (~((~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))))) | v141(constB163) | ((~v88(constB163, bitIndex1)) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24997,plain,
% 7.92/6.04 (v141(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24996, 24995, 24979])).
% 7.92/6.04 tff(24998,plain,
% 7.92/6.04 ((v141(constB163) | v167(constB163)) | (~v141(constB163))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(24999,plain,
% 7.92/6.04 (v141(constB163) | v167(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[24998, 24997])).
% 7.92/6.04 tff(25000,plain,
% 7.92/6.04 ((~(v166(constB163) <=> (v141(constB163) | v167(constB163)))) | v166(constB163) | (~(v141(constB163) | v167(constB163)))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(25001,plain,
% 7.92/6.04 (v166(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[25000, 24999, 24972])).
% 7.92/6.04 tff(25002,plain,
% 7.92/6.04 ((v142(constB163) | v166(constB163)) | (~v166(constB163))),
% 7.92/6.04 inference(tautology,[status(thm)],[])).
% 7.92/6.04 tff(25003,plain,
% 7.92/6.04 (v142(constB163) | v166(constB163)),
% 7.92/6.04 inference(unit_resolution,[status(thm)],[25002, 25001])).
% 7.92/6.04 tff(25004,plain,
% 7.92/6.04 ((~(v165(constB163) <=> (v142(constB163) | v166(constB163)))) | v165(constB163) | (~(v142(constB163) | v166(constB163)))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25005,plain,
% 7.92/6.05 ((~(v165(constB163) <=> (v142(constB163) | v166(constB163)))) | v165(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25004, 25003])).
% 7.92/6.05 tff(25006,plain,
% 7.92/6.05 (v165(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25005, 24970])).
% 7.92/6.05 tff(25007,plain,
% 7.92/6.05 ((v145(constB163) | v165(constB163)) | (~v165(constB163))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25008,plain,
% 7.92/6.05 (v145(constB163) | v165(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25007, 25006])).
% 7.92/6.05 tff(25009,plain,
% 7.92/6.05 ((~(v164(constB163) <=> (v145(constB163) | v165(constB163)))) | v164(constB163) | (~(v145(constB163) | v165(constB163)))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25010,plain,
% 7.92/6.05 (v164(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25009, 25008, 24968])).
% 7.92/6.05 tff(25011,plain,
% 7.92/6.05 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB163)) | (v161(constB163) <=> v168(constB163)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB163)) | (v161(constB163) <=> v168(constB163)))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25012,plain,
% 7.92/6.05 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB163)) | (v161(constB163) <=> v168(constB163)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25013,plain,
% 7.92/6.05 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB163)) | (v161(constB163) <=> v168(constB163))),
% 7.92/6.05 inference(modus_ponens,[status(thm)],[25012, 25011])).
% 7.92/6.05 tff(25014,plain,
% 7.92/6.05 ((~v164(constB163)) | (v161(constB163) <=> v168(constB163))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25013, 12128])).
% 7.92/6.05 tff(25015,plain,
% 7.92/6.05 (v161(constB163) <=> v168(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25014, 25010])).
% 7.92/6.05 tff(25016,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB163) <=> (~(v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25017,plain,
% 7.92/6.05 (v139(constB163) <=> (~(v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2)))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25016, 12146])).
% 7.92/6.05 tff(25018,plain,
% 7.92/6.05 ((v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2)) | (~v88(constB163, bitIndex0))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25019,plain,
% 7.92/6.05 (v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25018, 24989])).
% 7.92/6.05 tff(25020,plain,
% 7.92/6.05 ((~(v139(constB163) <=> (~(v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2))))) | (~v139(constB163)) | (~(v88(constB163, bitIndex0) | v88(constB163, bitIndex1) | v88(constB163, bitIndex2)))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25021,plain,
% 7.92/6.05 (~v139(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25020, 25019, 25017])).
% 7.92/6.05 tff(25022,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB163) <=> (~(v88(constB163, bitIndex1) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25023,plain,
% 7.92/6.05 (v140(constB163) <=> (~(v88(constB163, bitIndex1) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0))))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25022, 12165])).
% 7.92/6.05 tff(25024,plain,
% 7.92/6.05 ((v88(constB163, bitIndex1) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0))) | (~v88(constB163, bitIndex1))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25025,plain,
% 7.92/6.05 (v88(constB163, bitIndex1) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25024, 24993])).
% 7.92/6.05 tff(25026,plain,
% 7.92/6.05 ((~(v140(constB163) <=> (~(v88(constB163, bitIndex1) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0)))))) | (~v140(constB163)) | (~(v88(constB163, bitIndex1) | v88(constB163, bitIndex2) | (~v88(constB163, bitIndex0))))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25027,plain,
% 7.92/6.05 (~v140(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25026, 25025, 25023])).
% 7.92/6.05 tff(25028,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB163) | v140(constB163) | (~v168(constB163)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB163) | v140(constB163) | (~v168(constB163)))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25029,plain,
% 7.92/6.05 ((v140(constB163) | v139(constB163) | (~v168(constB163))) <=> (v139(constB163) | v140(constB163) | (~v168(constB163)))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25030,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB163) | v139(constB163) | (~v168(constB163)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB163) | v140(constB163) | (~v168(constB163))))),
% 7.92/6.05 inference(monotonicity,[status(thm)],[25029])).
% 7.92/6.05 tff(25031,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB163) | v139(constB163) | (~v168(constB163)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB163) | v140(constB163) | (~v168(constB163)))),
% 7.92/6.05 inference(transitivity,[status(thm)],[25030, 25028])).
% 7.92/6.05 tff(25032,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB163) | v139(constB163) | (~v168(constB163)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25033,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB163) | v140(constB163) | (~v168(constB163))),
% 7.92/6.05 inference(modus_ponens,[status(thm)],[25032, 25031])).
% 7.92/6.05 tff(25034,plain,
% 7.92/6.05 (v139(constB163) | v140(constB163) | (~v168(constB163))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25033, 12184])).
% 7.92/6.05 tff(25035,plain,
% 7.92/6.05 (~v168(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25034, 25027, 25021])).
% 7.92/6.05 tff(25036,plain,
% 7.92/6.05 ((~(v161(constB163) <=> v168(constB163))) | (~v161(constB163)) | v168(constB163)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25037,plain,
% 7.92/6.05 ((~(v161(constB163) <=> v168(constB163))) | (~v161(constB163))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25036, 25035])).
% 7.92/6.05 tff(25038,plain,
% 7.92/6.05 (~v161(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25037, 25015])).
% 7.92/6.05 tff(25039,plain,
% 7.92/6.05 ((~(v159(constB163) <=> v161(constB163))) | (~v159(constB163)) | v161(constB163)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25040,plain,
% 7.92/6.05 ((~(v159(constB163) <=> v161(constB163))) | (~v159(constB163))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25039, 25038])).
% 7.92/6.05 tff(25041,plain,
% 7.92/6.05 (~v159(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25040, 24966])).
% 7.92/6.05 tff(25042,plain,
% 7.92/6.05 (((~v184(constB163)) | (~v159(constB163))) | v159(constB163)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25043,plain,
% 7.92/6.05 ((~v184(constB163)) | (~v159(constB163))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25042, 25041])).
% 7.92/6.05 tff(25044,plain,
% 7.92/6.05 ((~(v187(constB163) <=> (~((~v184(constB163)) | (~v159(constB163)))))) | (~v187(constB163)) | (~((~v184(constB163)) | (~v159(constB163))))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25045,plain,
% 7.92/6.05 (~v187(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25044, 25043, 24964])).
% 7.92/6.05 tff(25046,plain,
% 7.92/6.05 (((~v186(constB163)) | (~v187(constB163))) | v187(constB163)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25047,plain,
% 7.92/6.05 ((~v186(constB163)) | (~v187(constB163))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25046, 25045])).
% 7.92/6.05 tff(25048,plain,
% 7.92/6.05 ((~(v185(constB163) <=> (~((~v186(constB163)) | (~v187(constB163)))))) | (~v185(constB163)) | (~((~v186(constB163)) | (~v187(constB163))))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25049,plain,
% 7.92/6.05 (~v185(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25048, 25047, 24962])).
% 7.92/6.05 tff(25050,plain,
% 7.92/6.05 ((~(v181(constB163) | v185(constB163))) | v181(constB163) | v185(constB163)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25051,plain,
% 7.92/6.05 (~(v181(constB163) | v185(constB163))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25050, 25049, 24960])).
% 7.92/6.05 tff(25052,plain,
% 7.92/6.05 ((~(v178(constB163) <=> (v181(constB163) | v185(constB163)))) | (~v178(constB163)) | (v181(constB163) | v185(constB163))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25053,plain,
% 7.92/6.05 (~v178(constB163)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25052, 25051, 24887])).
% 7.92/6.05 tff(25054,plain,
% 7.92/6.05 ((~(v180(constB164) <=> v178(constB163))) | (~v180(constB164)) | v178(constB163)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25055,plain,
% 7.92/6.05 (~v180(constB164)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25054, 25053, 24885])).
% 7.92/6.05 tff(25056,plain,
% 7.92/6.05 ((~(v157(constB164) <=> v180(constB164))) | (~v157(constB164)) | v180(constB164)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25057,plain,
% 7.92/6.05 (~v157(constB164)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25056, 25055, 24881])).
% 7.92/6.05 tff(25058,plain,
% 7.92/6.05 (((~v157(constB164)) | (~v182(constB164))) | v157(constB164)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25059,plain,
% 7.92/6.05 ((~v157(constB164)) | (~v182(constB164))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25058, 25057])).
% 7.92/6.05 tff(25060,plain,
% 7.92/6.05 ((~(v181(constB164) <=> (~((~v157(constB164)) | (~v182(constB164)))))) | (~v181(constB164)) | (~((~v157(constB164)) | (~v182(constB164))))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25061,plain,
% 7.92/6.05 (~v181(constB164)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25060, 25059, 24879])).
% 7.92/6.05 tff(25062,plain,
% 7.92/6.05 ((~(v181(constB164) | v185(constB164))) | v181(constB164) | v185(constB164)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25063,plain,
% 7.92/6.05 (~(v181(constB164) | v185(constB164))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25062, 25061, 24872])).
% 7.92/6.05 tff(25064,plain,
% 7.92/6.05 ((~(v178(constB164) <=> (v181(constB164) | v185(constB164)))) | (~v178(constB164)) | (v181(constB164) | v185(constB164))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25065,plain,
% 7.92/6.05 (~v178(constB164)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25064, 25063, 24847])).
% 7.92/6.05 tff(25066,plain,
% 7.92/6.05 ((~(v180(constB165) <=> v178(constB164))) | (~v180(constB165)) | v178(constB164)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25067,plain,
% 7.92/6.05 (~v180(constB165)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25066, 25065, 24845])).
% 7.92/6.05 tff(25068,plain,
% 7.92/6.05 ($false),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25067, 24841])).
% 7.92/6.05 tff(25069,plain,(~(constB165 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.92/6.05 tff(25070,assumption,(constB71 = VarCurr!0), introduced(assumption)).
% 7.92/6.05 tff(25071,plain,
% 7.92/6.05 (v180(constB71) <=> v180(VarCurr!0)),
% 7.92/6.05 inference(monotonicity,[status(thm)],[25070])).
% 7.92/6.05 tff(25072,plain,
% 7.92/6.05 (v180(VarCurr!0) <=> v180(constB71)),
% 7.92/6.05 inference(symmetry,[status(thm)],[25071])).
% 7.92/6.05 tff(25073,plain,
% 7.92/6.05 (v180(constB71)),
% 7.92/6.05 inference(modus_ponens,[status(thm)],[59, 25072])).
% 7.92/6.05 tff(25074,plain,
% 7.92/6.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB70, constB71)) | (v180(constB71) <=> v178(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB70, constB71)) | (v180(constB71) <=> v178(constB70)))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25075,plain,
% 7.92/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB70, constB71)) | (v180(constB71) <=> v178(constB70)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25076,plain,
% 7.92/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB70, constB71)) | (v180(constB71) <=> v178(constB70))),
% 7.92/6.05 inference(modus_ponens,[status(thm)],[25075, 25074])).
% 7.92/6.05 tff(25077,plain,
% 7.92/6.05 (v180(constB71) <=> v178(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25076, 1609, 70])).
% 7.92/6.05 tff(25078,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB70) <=> (v181(constB70) | v185(constB70)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25079,plain,
% 7.92/6.05 (v178(constB70) <=> (v181(constB70) | v185(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25078, 84])).
% 7.92/6.05 tff(25080,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB70) <=> (~((~v186(constB70)) | (~v187(constB70)))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25081,plain,
% 7.92/6.05 (v185(constB70) <=> (~((~v186(constB70)) | (~v187(constB70))))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25080, 96])).
% 7.92/6.05 tff(25082,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB70) <=> (~((~v184(constB70)) | (~v159(constB70)))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25083,plain,
% 7.92/6.05 (v187(constB70) <=> (~((~v184(constB70)) | (~v159(constB70))))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25082, 108])).
% 7.92/6.05 tff(25084,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25085,plain,
% 7.92/6.05 (v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70))))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25084, 120])).
% 7.92/6.05 tff(25086,plain,
% 7.92/6.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB70)) <=> v1(constB70))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25087,plain,
% 7.92/6.05 ((~v39(constB70)) <=> v1(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25086, 129])).
% 7.92/6.05 tff(25088,plain,
% 7.92/6.05 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70)) | (~v1(constB70))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25089,plain,
% 7.92/6.05 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25088, 9474])).
% 7.92/6.05 tff(25090,plain,
% 7.92/6.05 (~v39(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25089, 25087])).
% 7.92/6.05 tff(25091,plain,
% 7.92/6.05 (((~v39(constB70)) | (~v9(constB70))) | v39(constB70)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25092,plain,
% 7.92/6.05 ((~v39(constB70)) | (~v9(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25091, 25090])).
% 7.92/6.05 tff(25093,plain,
% 7.92/6.05 ((~(v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v184(constB70)) | (~((~v39(constB70)) | (~v9(constB70))))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25094,plain,
% 7.92/6.05 ((~(v184(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v184(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25093, 25092])).
% 7.92/6.05 tff(25095,plain,
% 7.92/6.05 (~v184(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25094, 25085])).
% 7.92/6.05 tff(25096,plain,
% 7.92/6.05 (((~v184(constB70)) | (~v159(constB70))) | v184(constB70)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25097,plain,
% 7.92/6.05 ((~v184(constB70)) | (~v159(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25096, 25095])).
% 7.92/6.05 tff(25098,plain,
% 7.92/6.05 ((~(v187(constB70) <=> (~((~v184(constB70)) | (~v159(constB70)))))) | (~v187(constB70)) | (~((~v184(constB70)) | (~v159(constB70))))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25099,plain,
% 7.92/6.05 ((~(v187(constB70) <=> (~((~v184(constB70)) | (~v159(constB70)))))) | (~v187(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25098, 25097])).
% 7.92/6.05 tff(25100,plain,
% 7.92/6.05 (~v187(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25099, 25083])).
% 7.92/6.05 tff(25101,plain,
% 7.92/6.05 (((~v186(constB70)) | (~v187(constB70))) | v187(constB70)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25102,plain,
% 7.92/6.05 ((~v186(constB70)) | (~v187(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25101, 25100])).
% 7.92/6.05 tff(25103,plain,
% 7.92/6.05 ((~(v185(constB70) <=> (~((~v186(constB70)) | (~v187(constB70)))))) | (~v185(constB70)) | (~((~v186(constB70)) | (~v187(constB70))))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25104,plain,
% 7.92/6.05 (~v185(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25103, 25102, 25081])).
% 7.92/6.05 tff(25105,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70))))))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25106,plain,
% 7.92/6.05 ((v181(constB70) <=> (~((~v182(constB70)) | (~v157(constB70))))) <=> (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70)))))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25107,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v182(constB70)) | (~v157(constB70)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70))))))),
% 7.92/6.05 inference(monotonicity,[status(thm)],[25106])).
% 7.92/6.05 tff(25108,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v182(constB70)) | (~v157(constB70)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70))))))),
% 7.92/6.05 inference(transitivity,[status(thm)],[25107, 25105])).
% 7.92/6.05 tff(25109,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v182(constB70)) | (~v157(constB70)))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25110,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70)))))),
% 7.92/6.05 inference(modus_ponens,[status(thm)],[25109, 25108])).
% 7.92/6.05 tff(25111,plain,
% 7.92/6.05 (v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70))))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25110, 161])).
% 7.92/6.05 tff(25112,plain,
% 7.92/6.05 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB70) <=> v180(constB70))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25113,plain,
% 7.92/6.05 (v157(constB70) <=> v180(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25112, 13])).
% 7.92/6.05 tff(25114,plain,
% 7.92/6.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB69, constB70)) | (v180(constB70) <=> v178(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB69, constB70)) | (v180(constB70) <=> v178(constB69)))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25115,plain,
% 7.92/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB69, constB70)) | (v180(constB70) <=> v178(constB69)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25116,plain,
% 7.92/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB69, constB70)) | (v180(constB70) <=> v178(constB69))),
% 7.92/6.05 inference(modus_ponens,[status(thm)],[25115, 25114])).
% 7.92/6.05 tff(25117,plain,
% 7.92/6.05 (v180(constB70) <=> v178(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25116, 1645, 70])).
% 7.92/6.05 tff(25118,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB69) <=> (v181(constB69) | v185(constB69)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25119,plain,
% 7.92/6.05 (v178(constB69) <=> (v181(constB69) | v185(constB69))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25118, 84])).
% 7.92/6.05 tff(25120,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69))))))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25121,plain,
% 7.92/6.05 ((v181(constB69) <=> (~((~v182(constB69)) | (~v157(constB69))))) <=> (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69)))))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25122,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v182(constB69)) | (~v157(constB69)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69))))))),
% 7.92/6.05 inference(monotonicity,[status(thm)],[25121])).
% 7.92/6.05 tff(25123,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v182(constB69)) | (~v157(constB69)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69))))))),
% 7.92/6.05 inference(transitivity,[status(thm)],[25122, 25120])).
% 7.92/6.05 tff(25124,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v182(constB69)) | (~v157(constB69)))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25125,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69)))))),
% 7.92/6.05 inference(modus_ponens,[status(thm)],[25124, 25123])).
% 7.92/6.05 tff(25126,plain,
% 7.92/6.05 (v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69))))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25125, 161])).
% 7.92/6.05 tff(25127,plain,
% 7.92/6.05 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB69)) <=> v183(constB69))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25128,plain,
% 7.92/6.05 ((~v182(constB69)) <=> v183(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25127, 193])).
% 7.92/6.05 tff(25129,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB69) <=> (v184(constB69) | v26(constB69)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25130,plain,
% 7.92/6.05 (v183(constB69) <=> (v184(constB69) | v26(constB69))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25129, 202])).
% 7.92/6.05 tff(25131,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25132,plain,
% 7.92/6.05 (v184(constB69) <=> (~((~v39(constB69)) | (~v9(constB69))))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25131, 120])).
% 7.92/6.05 tff(25133,plain,
% 7.92/6.05 (((~![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)))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25134,plain,
% 7.92/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25135,plain,
% 7.92/6.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69))),
% 7.92/6.05 inference(modus_ponens,[status(thm)],[25134, 25133])).
% 7.92/6.05 tff(25136,plain,
% 7.92/6.05 (v13(constB70) <=> v9(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25135, 1645, 216])).
% 7.92/6.05 tff(25137,plain,
% 7.92/6.05 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB70) <=> v13(constB70))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25138,plain,
% 7.92/6.05 (v6(constB70) <=> v13(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25137, 230])).
% 7.92/6.05 tff(25139,plain,
% 7.92/6.05 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB70)) <=> v6(constB70))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25140,plain,
% 7.92/6.05 ((~v21(constB70)) <=> v6(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25139, 239])).
% 7.92/6.05 tff(25141,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB70) <=> (v20(constB70) | v21(constB70)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25142,plain,
% 7.92/6.05 (v19(constB70) <=> (v20(constB70) | v21(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25141, 248])).
% 7.92/6.05 tff(25143,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25144,plain,
% 7.92/6.05 (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70))))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25143, 260])).
% 7.92/6.05 tff(25145,plain,
% 7.92/6.05 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB70)) <=> v18(constB70))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25146,plain,
% 7.92/6.05 ((~v4(constB70)) <=> v18(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25145, 269])).
% 7.92/6.05 tff(25147,plain,
% 7.92/6.05 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB70)),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25148,plain,
% 7.92/6.05 (v4(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25147, 278])).
% 7.92/6.05 tff(25149,plain,
% 7.92/6.05 ((~((~v4(constB70)) <=> v18(constB70))) | (~v4(constB70)) | (~v18(constB70))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25150,plain,
% 7.92/6.05 (~v18(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25149, 25148, 25146])).
% 7.92/6.05 tff(25151,plain,
% 7.92/6.05 ((~(v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))) | v18(constB70) | ((~v19(constB70)) | (~v22(constB70)))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25152,plain,
% 7.92/6.05 ((~v19(constB70)) | (~v22(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25151, 25150, 25144])).
% 7.92/6.05 tff(25153,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB70) <=> (v1(constB70) | v6(constB70)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25154,plain,
% 7.92/6.05 (v22(constB70) <=> (v1(constB70) | v6(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25153, 291])).
% 7.92/6.05 tff(25155,plain,
% 7.92/6.05 ((v1(constB70) | v6(constB70)) | (~v1(constB70))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25156,plain,
% 7.92/6.05 (v1(constB70) | v6(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25155, 9474])).
% 7.92/6.05 tff(25157,plain,
% 7.92/6.05 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70) | (~(v1(constB70) | v6(constB70)))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25158,plain,
% 7.92/6.05 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25157, 25156])).
% 7.92/6.05 tff(25159,plain,
% 7.92/6.05 (v22(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25158, 25154])).
% 7.92/6.05 tff(25160,plain,
% 7.92/6.05 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70)) | (~v22(constB70))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25161,plain,
% 7.92/6.05 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25160, 25159])).
% 7.92/6.05 tff(25162,plain,
% 7.92/6.05 (~v19(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25161, 25152])).
% 7.92/6.05 tff(25163,plain,
% 7.92/6.05 ((~(v19(constB70) <=> (v20(constB70) | v21(constB70)))) | v19(constB70) | (~(v20(constB70) | v21(constB70)))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25164,plain,
% 7.92/6.05 (~(v20(constB70) | v21(constB70))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25163, 25162, 25142])).
% 7.92/6.05 tff(25165,plain,
% 7.92/6.05 ((v20(constB70) | v21(constB70)) | (~v21(constB70))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25166,plain,
% 7.92/6.05 (~v21(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25165, 25164])).
% 7.92/6.05 tff(25167,plain,
% 7.92/6.05 ((~((~v21(constB70)) <=> v6(constB70))) | v21(constB70) | v6(constB70)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25168,plain,
% 7.92/6.05 (v6(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25167, 25166, 25140])).
% 7.92/6.05 tff(25169,plain,
% 7.92/6.05 ((~(v6(constB70) <=> v13(constB70))) | (~v6(constB70)) | v13(constB70)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25170,plain,
% 7.92/6.05 (v13(constB70)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25169, 25168, 25138])).
% 7.92/6.05 tff(25171,plain,
% 7.92/6.05 ((~(v13(constB70) <=> v9(constB69))) | (~v13(constB70)) | v9(constB69)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25172,plain,
% 7.92/6.05 (v9(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25171, 25170, 25136])).
% 7.92/6.05 tff(25173,plain,
% 7.92/6.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB69)) <=> v1(constB69))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25174,plain,
% 7.92/6.05 ((~v39(constB69)) <=> v1(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25173, 129])).
% 7.92/6.05 tff(25175,plain,
% 7.92/6.05 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69) | v1(constB69)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25176,plain,
% 7.92/6.05 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25175, 1689])).
% 7.92/6.05 tff(25177,plain,
% 7.92/6.05 (v39(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25176, 25174])).
% 7.92/6.05 tff(25178,plain,
% 7.92/6.05 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v39(constB69)) | (~v9(constB69))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25179,plain,
% 7.92/6.05 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v9(constB69))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25178, 25177])).
% 7.92/6.05 tff(25180,plain,
% 7.92/6.05 (~((~v39(constB69)) | (~v9(constB69)))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25179, 25172])).
% 7.92/6.05 tff(25181,plain,
% 7.92/6.05 ((~(v184(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))) | v184(constB69) | ((~v39(constB69)) | (~v9(constB69)))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25182,plain,
% 7.92/6.05 (v184(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25181, 25180, 25132])).
% 7.92/6.05 tff(25183,plain,
% 7.92/6.05 ((v184(constB69) | v26(constB69)) | (~v184(constB69))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25184,plain,
% 7.92/6.05 (v184(constB69) | v26(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25183, 25182])).
% 7.92/6.05 tff(25185,plain,
% 7.92/6.05 ((~(v183(constB69) <=> (v184(constB69) | v26(constB69)))) | v183(constB69) | (~(v184(constB69) | v26(constB69)))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25186,plain,
% 7.92/6.05 (v183(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25185, 25184, 25130])).
% 7.92/6.05 tff(25187,plain,
% 7.92/6.05 ((~((~v182(constB69)) <=> v183(constB69))) | (~v182(constB69)) | (~v183(constB69))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25188,plain,
% 7.92/6.05 (~v182(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25187, 25186, 25128])).
% 7.92/6.05 tff(25189,plain,
% 7.92/6.05 (((~v157(constB69)) | (~v182(constB69))) | v182(constB69)),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25190,plain,
% 7.92/6.05 ((~v157(constB69)) | (~v182(constB69))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25189, 25188])).
% 7.92/6.05 tff(25191,plain,
% 7.92/6.05 ((~(v181(constB69) <=> (~((~v157(constB69)) | (~v182(constB69)))))) | (~v181(constB69)) | (~((~v157(constB69)) | (~v182(constB69))))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25192,plain,
% 7.92/6.05 (~v181(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25191, 25190, 25126])).
% 7.92/6.05 tff(25193,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB69) <=> (~((~v186(constB69)) | (~v187(constB69)))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25194,plain,
% 7.92/6.05 (v185(constB69) <=> (~((~v186(constB69)) | (~v187(constB69))))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25193, 96])).
% 7.92/6.05 tff(25195,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB69) <=> (~((~v184(constB69)) | (~v159(constB69)))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25196,plain,
% 7.92/6.05 (v187(constB69) <=> (~((~v184(constB69)) | (~v159(constB69))))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25195, 108])).
% 7.92/6.05 tff(25197,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB69) <=> v161(constB69))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25198,plain,
% 7.92/6.05 (v159(constB69) <=> v161(constB69)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25197, 345])).
% 7.92/6.05 tff(25199,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB69) <=> (v145(constB69) | v165(constB69)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25200,plain,
% 7.92/6.05 (v164(constB69) <=> (v145(constB69) | v165(constB69))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25199, 357])).
% 7.92/6.05 tff(25201,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB69) <=> (v146(constB69) | v147(constB69)))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25202,plain,
% 7.92/6.05 (v145(constB69) <=> (v146(constB69) | v147(constB69))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25201, 24729])).
% 7.92/6.05 tff(25203,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~(v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~(v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0)))))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25204,plain,
% 7.92/6.05 ((v146(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2))))) <=> (v146(constB69) <=> (~(v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0))))),
% 7.92/6.05 inference(rewrite,[status(thm)],[])).
% 7.92/6.05 tff(25205,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~(v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0)))))),
% 7.92/6.05 inference(monotonicity,[status(thm)],[25204])).
% 7.92/6.05 tff(25206,plain,
% 7.92/6.05 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~(v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0)))))),
% 7.92/6.05 inference(transitivity,[status(thm)],[25205, 25203])).
% 7.92/6.05 tff(25207,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25208,plain,
% 7.92/6.05 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB69) <=> (~(v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0))))),
% 7.92/6.05 inference(modus_ponens,[status(thm)],[25207, 25206])).
% 7.92/6.05 tff(25209,plain,
% 7.92/6.05 (v146(constB69) <=> (~(v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0)))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25208, 24744])).
% 7.92/6.05 tff(25210,plain,
% 7.92/6.05 ((~![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))))),
% 7.92/6.05 inference(quant_inst,[status(thm)],[])).
% 7.92/6.05 tff(25211,plain,
% 7.92/6.05 (~(((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)) | ((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)) | ((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0)))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25210, 416])).
% 7.92/6.05 tff(25212,plain,
% 7.92/6.05 ((((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)) | ((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)) | ((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0))) | (~((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25213,plain,
% 7.92/6.05 (~((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2))),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25212, 25211])).
% 7.92/6.05 tff(25214,plain,
% 7.92/6.05 (((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)) | v88(constB69, bitIndex2) | (~v90(constB69, bitIndex2))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25215,plain,
% 7.92/6.05 (v88(constB69, bitIndex2)),
% 7.92/6.05 inference(unit_resolution,[status(thm)],[25214, 9396, 25213])).
% 7.92/6.05 tff(25216,plain,
% 7.92/6.05 ((((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)) | ((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)) | ((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0))) | (~((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0)))),
% 7.92/6.05 inference(tautology,[status(thm)],[])).
% 7.92/6.05 tff(25217,plain,
% 7.92/6.05 (~((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25216, 25211])).
% 7.92/6.06 tff(25218,plain,
% 7.92/6.06 (((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0)) | (~v88(constB69, bitIndex0)) | v90(constB69, bitIndex0)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25219,plain,
% 7.92/6.06 (~v88(constB69, bitIndex0)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25218, 9414, 25217])).
% 7.92/6.06 tff(25220,plain,
% 7.92/6.06 ((((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)) | ((~v88(constB69, bitIndex2)) <=> v90(constB69, bitIndex2)) | ((~v88(constB69, bitIndex0)) <=> v90(constB69, bitIndex0))) | (~((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25221,plain,
% 7.92/6.06 (~((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25220, 25211])).
% 7.92/6.06 tff(25222,plain,
% 7.92/6.06 (((~v88(constB69, bitIndex1)) <=> v90(constB69, bitIndex1)) | (~v88(constB69, bitIndex1)) | v90(constB69, bitIndex1)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25223,plain,
% 7.92/6.06 (~v88(constB69, bitIndex1)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25222, 9432, 25221])).
% 7.92/6.06 tff(25224,plain,
% 7.92/6.06 ((~(v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0))) | v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25225,plain,
% 7.92/6.06 (~(v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25224, 25223, 25219, 25215])).
% 7.92/6.06 tff(25226,plain,
% 7.92/6.06 ((~(v146(constB69) <=> (~(v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0))))) | v146(constB69) | (v88(constB69, bitIndex1) | (~v88(constB69, bitIndex2)) | v88(constB69, bitIndex0))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25227,plain,
% 7.92/6.06 (v146(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25226, 25225, 25209])).
% 7.92/6.06 tff(25228,plain,
% 7.92/6.06 ((v146(constB69) | v147(constB69)) | (~v146(constB69))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25229,plain,
% 7.92/6.06 (v146(constB69) | v147(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25228, 25227])).
% 7.92/6.06 tff(25230,plain,
% 7.92/6.06 ((~(v145(constB69) <=> (v146(constB69) | v147(constB69)))) | v145(constB69) | (~(v146(constB69) | v147(constB69)))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25231,plain,
% 7.92/6.06 (v145(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25230, 25229, 25202])).
% 7.92/6.06 tff(25232,plain,
% 7.92/6.06 ((v145(constB69) | v165(constB69)) | (~v145(constB69))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25233,plain,
% 7.92/6.06 (v145(constB69) | v165(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25232, 25231])).
% 7.92/6.06 tff(25234,plain,
% 7.92/6.06 ((~(v164(constB69) <=> (v145(constB69) | v165(constB69)))) | v164(constB69) | (~(v145(constB69) | v165(constB69)))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25235,plain,
% 7.92/6.06 ((~(v164(constB69) <=> (v145(constB69) | v165(constB69)))) | v164(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25234, 25233])).
% 7.92/6.06 tff(25236,plain,
% 7.92/6.06 (v164(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25235, 25200])).
% 7.92/6.06 tff(25237,plain,
% 7.92/6.06 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB69)) | (v161(constB69) <=> v168(constB69)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB69)) | (v161(constB69) <=> v168(constB69)))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25238,plain,
% 7.92/6.06 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB69)) | (v161(constB69) <=> v168(constB69)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25239,plain,
% 7.92/6.06 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB69)) | (v161(constB69) <=> v168(constB69))),
% 7.92/6.06 inference(modus_ponens,[status(thm)],[25238, 25237])).
% 7.92/6.06 tff(25240,plain,
% 7.92/6.06 ((~v164(constB69)) | (v161(constB69) <=> v168(constB69))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25239, 12128])).
% 7.92/6.06 tff(25241,plain,
% 7.92/6.06 (v161(constB69) <=> v168(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25240, 25236])).
% 7.92/6.06 tff(25242,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2))))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25243,plain,
% 7.92/6.06 (v139(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2)))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25242, 12146])).
% 7.92/6.06 tff(25244,plain,
% 7.92/6.06 ((v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2)) | (~v88(constB69, bitIndex2))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25245,plain,
% 7.92/6.06 (v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25244, 25215])).
% 7.92/6.06 tff(25246,plain,
% 7.92/6.06 ((~(v139(constB69) <=> (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2))))) | (~v139(constB69)) | (~(v88(constB69, bitIndex0) | v88(constB69, bitIndex1) | v88(constB69, bitIndex2)))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25247,plain,
% 7.92/6.06 (~v139(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25246, 25245, 25243])).
% 7.92/6.06 tff(25248,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB69) <=> (~(v88(constB69, bitIndex1) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex0)))))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25249,plain,
% 7.92/6.06 (v140(constB69) <=> (~(v88(constB69, bitIndex1) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex0))))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25248, 12165])).
% 7.92/6.06 tff(25250,plain,
% 7.92/6.06 ((v88(constB69, bitIndex1) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex0))) | (~v88(constB69, bitIndex2))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25251,plain,
% 7.92/6.06 (v88(constB69, bitIndex1) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex0))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25250, 25215])).
% 7.92/6.06 tff(25252,plain,
% 7.92/6.06 ((~(v140(constB69) <=> (~(v88(constB69, bitIndex1) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex0)))))) | (~v140(constB69)) | (~(v88(constB69, bitIndex1) | v88(constB69, bitIndex2) | (~v88(constB69, bitIndex0))))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25253,plain,
% 7.92/6.06 (~v140(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25252, 25251, 25249])).
% 7.92/6.06 tff(25254,plain,
% 7.92/6.06 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB69) | v139(constB69) | (~v168(constB69)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB69) | v139(constB69) | (~v168(constB69)))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25255,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB69) | v139(constB69) | (~v168(constB69)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25256,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB69) | v139(constB69) | (~v168(constB69))),
% 7.92/6.06 inference(modus_ponens,[status(thm)],[25255, 25254])).
% 7.92/6.06 tff(25257,plain,
% 7.92/6.06 (v140(constB69) | v139(constB69) | (~v168(constB69))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25256, 12184])).
% 7.92/6.06 tff(25258,plain,
% 7.92/6.06 (~v168(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25257, 25253, 25247])).
% 7.92/6.06 tff(25259,plain,
% 7.92/6.06 ((~(v161(constB69) <=> v168(constB69))) | (~v161(constB69)) | v168(constB69)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25260,plain,
% 7.92/6.06 ((~(v161(constB69) <=> v168(constB69))) | (~v161(constB69))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25259, 25258])).
% 7.92/6.06 tff(25261,plain,
% 7.92/6.06 (~v161(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25260, 25241])).
% 7.92/6.06 tff(25262,plain,
% 7.92/6.06 ((~(v159(constB69) <=> v161(constB69))) | (~v159(constB69)) | v161(constB69)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25263,plain,
% 7.92/6.06 ((~(v159(constB69) <=> v161(constB69))) | (~v159(constB69))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25262, 25261])).
% 7.92/6.06 tff(25264,plain,
% 7.92/6.06 (~v159(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25263, 25198])).
% 7.92/6.06 tff(25265,plain,
% 7.92/6.06 (((~v184(constB69)) | (~v159(constB69))) | v159(constB69)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25266,plain,
% 7.92/6.06 ((~v184(constB69)) | (~v159(constB69))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25265, 25264])).
% 7.92/6.06 tff(25267,plain,
% 7.92/6.06 ((~(v187(constB69) <=> (~((~v184(constB69)) | (~v159(constB69)))))) | (~v187(constB69)) | (~((~v184(constB69)) | (~v159(constB69))))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25268,plain,
% 7.92/6.06 (~v187(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25267, 25266, 25196])).
% 7.92/6.06 tff(25269,plain,
% 7.92/6.06 (((~v186(constB69)) | (~v187(constB69))) | v187(constB69)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25270,plain,
% 7.92/6.06 ((~v186(constB69)) | (~v187(constB69))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25269, 25268])).
% 7.92/6.06 tff(25271,plain,
% 7.92/6.06 ((~(v185(constB69) <=> (~((~v186(constB69)) | (~v187(constB69)))))) | (~v185(constB69)) | (~((~v186(constB69)) | (~v187(constB69))))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25272,plain,
% 7.92/6.06 (~v185(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25271, 25270, 25194])).
% 7.92/6.06 tff(25273,plain,
% 7.92/6.06 ((~(v181(constB69) | v185(constB69))) | v181(constB69) | v185(constB69)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25274,plain,
% 7.92/6.06 (~(v181(constB69) | v185(constB69))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25273, 25272, 25192])).
% 7.92/6.06 tff(25275,plain,
% 7.92/6.06 ((~(v178(constB69) <=> (v181(constB69) | v185(constB69)))) | (~v178(constB69)) | (v181(constB69) | v185(constB69))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25276,plain,
% 7.92/6.06 (~v178(constB69)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25275, 25274, 25119])).
% 7.92/6.06 tff(25277,plain,
% 7.92/6.06 ((~(v180(constB70) <=> v178(constB69))) | (~v180(constB70)) | v178(constB69)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25278,plain,
% 7.92/6.06 (~v180(constB70)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25277, 25276, 25117])).
% 7.92/6.06 tff(25279,plain,
% 7.92/6.06 ((~(v157(constB70) <=> v180(constB70))) | (~v157(constB70)) | v180(constB70)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25280,plain,
% 7.92/6.06 (~v157(constB70)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25279, 25278, 25113])).
% 7.92/6.06 tff(25281,plain,
% 7.92/6.06 (((~v157(constB70)) | (~v182(constB70))) | v157(constB70)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25282,plain,
% 7.92/6.06 ((~v157(constB70)) | (~v182(constB70))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25281, 25280])).
% 7.92/6.06 tff(25283,plain,
% 7.92/6.06 ((~(v181(constB70) <=> (~((~v157(constB70)) | (~v182(constB70)))))) | (~v181(constB70)) | (~((~v157(constB70)) | (~v182(constB70))))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25284,plain,
% 7.92/6.06 (~v181(constB70)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25283, 25282, 25111])).
% 7.92/6.06 tff(25285,plain,
% 7.92/6.06 ((~(v181(constB70) | v185(constB70))) | v181(constB70) | v185(constB70)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25286,plain,
% 7.92/6.06 (~(v181(constB70) | v185(constB70))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25285, 25284, 25104])).
% 7.92/6.06 tff(25287,plain,
% 7.92/6.06 ((~(v178(constB70) <=> (v181(constB70) | v185(constB70)))) | (~v178(constB70)) | (v181(constB70) | v185(constB70))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25288,plain,
% 7.92/6.06 (~v178(constB70)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25287, 25286, 25079])).
% 7.92/6.06 tff(25289,plain,
% 7.92/6.06 ((~(v180(constB71) <=> v178(constB70))) | (~v180(constB71)) | v178(constB70)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25290,plain,
% 7.92/6.06 (~v180(constB71)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25289, 25288, 25077])).
% 7.92/6.06 tff(25291,plain,
% 7.92/6.06 ($false),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25290, 25073])).
% 7.92/6.06 tff(25292,plain,(~(constB71 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.92/6.06 tff(25293,assumption,(constB73 = VarCurr!0), introduced(assumption)).
% 7.92/6.06 tff(25294,plain,
% 7.92/6.06 (v86(constB73) <=> v86(VarCurr!0)),
% 7.92/6.06 inference(monotonicity,[status(thm)],[25293])).
% 7.92/6.06 tff(25295,plain,
% 7.92/6.06 (v86(VarCurr!0) <=> v86(constB73)),
% 7.92/6.06 inference(symmetry,[status(thm)],[25294])).
% 7.92/6.06 tff(25296,plain,
% 7.92/6.06 ((~v86(VarCurr!0)) <=> (~v86(constB73))),
% 7.92/6.06 inference(monotonicity,[status(thm)],[25295])).
% 7.92/6.06 tff(25297,plain,
% 7.92/6.06 (~v86(constB73)),
% 7.92/6.06 inference(modus_ponens,[status(thm)],[21766, 25296])).
% 7.92/6.06 tff(25298,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB73) <=> (v136(constB73) | v145(constB73)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25299,plain,
% 7.92/6.06 (v135(constB73) <=> (v136(constB73) | v145(constB73))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25298, 21774])).
% 7.92/6.06 tff(25300,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB73) <=> (v137(constB73) | v142(constB73)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25301,plain,
% 7.92/6.06 (v136(constB73) <=> (v137(constB73) | v142(constB73))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25300, 21783])).
% 7.92/6.06 tff(25302,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB73) <=> (v143(constB73) | v144(constB73)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25303,plain,
% 7.92/6.06 (v142(constB73) <=> (v143(constB73) | v144(constB73))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25302, 21792])).
% 7.92/6.06 tff(25304,plain,
% 7.92/6.06 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~((~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~((~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0)))))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25305,plain,
% 7.92/6.06 ((v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2))))) <=> (v144(constB73) <=> (~((~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0))))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25306,plain,
% 7.92/6.06 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~((~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0)))))),
% 7.92/6.06 inference(monotonicity,[status(thm)],[25305])).
% 7.92/6.06 tff(25307,plain,
% 7.92/6.06 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~((~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0)))))),
% 7.92/6.06 inference(transitivity,[status(thm)],[25306, 25304])).
% 7.92/6.06 tff(25308,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~(v88(constB73, bitIndex0) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)))))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25309,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB73) <=> (~((~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0))))),
% 7.92/6.06 inference(modus_ponens,[status(thm)],[25308, 25307])).
% 7.92/6.06 tff(25310,plain,
% 7.92/6.06 (v144(constB73) <=> (~((~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0)))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25309, 21807])).
% 7.92/6.06 tff(25311,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB73, bitIndex1)) <=> v90(constB73, bitIndex1)) | ((~v88(constB73, bitIndex2)) <=> v90(constB73, bitIndex2)) | ((~v88(constB73, bitIndex0)) <=> v90(constB73, bitIndex0))))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25312,plain,
% 7.92/6.06 (~(((~v88(constB73, bitIndex1)) <=> v90(constB73, bitIndex1)) | ((~v88(constB73, bitIndex2)) <=> v90(constB73, bitIndex2)) | ((~v88(constB73, bitIndex0)) <=> v90(constB73, bitIndex0)))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25311, 416])).
% 7.92/6.06 tff(25313,plain,
% 7.92/6.06 ((((~v88(constB73, bitIndex1)) <=> v90(constB73, bitIndex1)) | ((~v88(constB73, bitIndex2)) <=> v90(constB73, bitIndex2)) | ((~v88(constB73, bitIndex0)) <=> v90(constB73, bitIndex0))) | (~((~v88(constB73, bitIndex2)) <=> v90(constB73, bitIndex2)))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25314,plain,
% 7.92/6.06 (~((~v88(constB73, bitIndex2)) <=> v90(constB73, bitIndex2))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25313, 25312])).
% 7.92/6.06 tff(25315,plain,
% 7.92/6.06 (((~v88(constB73, bitIndex2)) <=> v90(constB73, bitIndex2)) | v88(constB73, bitIndex2) | (~v90(constB73, bitIndex2))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25316,plain,
% 7.92/6.06 (v88(constB73, bitIndex2)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25315, 9673, 25314])).
% 7.92/6.06 tff(25317,plain,
% 7.92/6.06 ((((~v88(constB73, bitIndex1)) <=> v90(constB73, bitIndex1)) | ((~v88(constB73, bitIndex2)) <=> v90(constB73, bitIndex2)) | ((~v88(constB73, bitIndex0)) <=> v90(constB73, bitIndex0))) | (~((~v88(constB73, bitIndex0)) <=> v90(constB73, bitIndex0)))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25318,plain,
% 7.92/6.06 (~((~v88(constB73, bitIndex0)) <=> v90(constB73, bitIndex0))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25317, 25312])).
% 7.92/6.06 tff(25319,plain,
% 7.92/6.06 (((~v88(constB73, bitIndex0)) <=> v90(constB73, bitIndex0)) | (~v88(constB73, bitIndex0)) | v90(constB73, bitIndex0)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25320,plain,
% 7.92/6.06 (~v88(constB73, bitIndex0)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25319, 9824, 25318])).
% 7.92/6.06 tff(25321,plain,
% 7.92/6.06 ((((~v88(constB73, bitIndex1)) <=> v90(constB73, bitIndex1)) | ((~v88(constB73, bitIndex2)) <=> v90(constB73, bitIndex2)) | ((~v88(constB73, bitIndex0)) <=> v90(constB73, bitIndex0))) | (~((~v88(constB73, bitIndex1)) <=> v90(constB73, bitIndex1)))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25322,plain,
% 7.92/6.06 (~((~v88(constB73, bitIndex1)) <=> v90(constB73, bitIndex1))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25321, 25312])).
% 7.92/6.06 tff(25323,plain,
% 7.92/6.06 (((~v88(constB73, bitIndex1)) <=> v90(constB73, bitIndex1)) | v88(constB73, bitIndex1) | (~v90(constB73, bitIndex1))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25324,plain,
% 7.92/6.06 (v88(constB73, bitIndex1)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25323, 9702, 25322])).
% 7.92/6.06 tff(25325,plain,
% 7.92/6.06 ((~((~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0))) | (~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25326,plain,
% 7.92/6.06 (~((~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25325, 25324, 25320, 25316])).
% 7.92/6.06 tff(25327,plain,
% 7.92/6.06 ((~(v144(constB73) <=> (~((~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0))))) | v144(constB73) | ((~v88(constB73, bitIndex1)) | (~v88(constB73, bitIndex2)) | v88(constB73, bitIndex0))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25328,plain,
% 7.92/6.06 (v144(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25327, 25326, 25310])).
% 7.92/6.06 tff(25329,plain,
% 7.92/6.06 ((v143(constB73) | v144(constB73)) | (~v144(constB73))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25330,plain,
% 7.92/6.06 (v143(constB73) | v144(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25329, 25328])).
% 7.92/6.06 tff(25331,plain,
% 7.92/6.06 ((~(v142(constB73) <=> (v143(constB73) | v144(constB73)))) | v142(constB73) | (~(v143(constB73) | v144(constB73)))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25332,plain,
% 7.92/6.06 (v142(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25331, 25330, 25303])).
% 7.92/6.06 tff(25333,plain,
% 7.92/6.06 ((v137(constB73) | v142(constB73)) | (~v142(constB73))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25334,plain,
% 7.92/6.06 (v137(constB73) | v142(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25333, 25332])).
% 7.92/6.06 tff(25335,plain,
% 7.92/6.06 ((~(v136(constB73) <=> (v137(constB73) | v142(constB73)))) | v136(constB73) | (~(v137(constB73) | v142(constB73)))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25336,plain,
% 7.92/6.06 ((~(v136(constB73) <=> (v137(constB73) | v142(constB73)))) | v136(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25335, 25334])).
% 7.92/6.06 tff(25337,plain,
% 7.92/6.06 (v136(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25336, 25301])).
% 7.92/6.06 tff(25338,plain,
% 7.92/6.06 ((v136(constB73) | v145(constB73)) | (~v136(constB73))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25339,plain,
% 7.92/6.06 (v136(constB73) | v145(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25338, 25337])).
% 7.92/6.06 tff(25340,plain,
% 7.92/6.06 ((~(v135(constB73) <=> (v136(constB73) | v145(constB73)))) | v135(constB73) | (~(v136(constB73) | v145(constB73)))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25341,plain,
% 7.92/6.06 (v135(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25340, 25339, 25299])).
% 7.92/6.06 tff(25342,plain,
% 7.92/6.06 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB73)) | (v86(constB73) <=> v148(constB73)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB73)) | (v86(constB73) <=> v148(constB73)))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25343,plain,
% 7.92/6.06 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB73)) | (v86(constB73) <=> v148(constB73)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25344,plain,
% 7.92/6.06 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB73)) | (v86(constB73) <=> v148(constB73))),
% 7.92/6.06 inference(modus_ponens,[status(thm)],[25343, 25342])).
% 7.92/6.06 tff(25345,plain,
% 7.92/6.06 (v86(constB73) <=> v148(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25344, 21855, 25341])).
% 7.92/6.06 tff(25346,plain,
% 7.92/6.06 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB73) | (~v142(constB73)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB73) | (~v142(constB73)))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25347,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB73) | (~v142(constB73)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25348,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB73) | (~v142(constB73))),
% 7.92/6.06 inference(modus_ponens,[status(thm)],[25347, 25346])).
% 7.92/6.06 tff(25349,plain,
% 7.92/6.06 (v148(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25348, 21869, 25332])).
% 7.92/6.06 tff(25350,plain,
% 7.92/6.06 ((~(v86(constB73) <=> v148(constB73))) | v86(constB73) | (~v148(constB73))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25351,plain,
% 7.92/6.06 ((~(v86(constB73) <=> v148(constB73))) | v86(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25350, 25349])).
% 7.92/6.06 tff(25352,plain,
% 7.92/6.06 (v86(constB73)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25351, 25345])).
% 7.92/6.06 tff(25353,plain,
% 7.92/6.06 ($false),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25352, 25297])).
% 7.92/6.06 tff(25354,plain,(~(constB73 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.92/6.06 tff(25355,assumption,(constB153 = VarCurr!0), introduced(assumption)).
% 7.92/6.06 tff(25356,plain,
% 7.92/6.06 (v180(constB153) <=> v180(VarCurr!0)),
% 7.92/6.06 inference(monotonicity,[status(thm)],[25355])).
% 7.92/6.06 tff(25357,plain,
% 7.92/6.06 (v180(VarCurr!0) <=> v180(constB153)),
% 7.92/6.06 inference(symmetry,[status(thm)],[25356])).
% 7.92/6.06 tff(25358,plain,
% 7.92/6.06 (v180(constB153)),
% 7.92/6.06 inference(modus_ponens,[status(thm)],[59, 25357])).
% 7.92/6.06 tff(25359,plain,
% 7.92/6.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB152, constB153)) | (v180(constB153) <=> v178(constB152)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB152, constB153)) | (v180(constB153) <=> v178(constB152)))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25360,plain,
% 7.92/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB152, constB153)) | (v180(constB153) <=> v178(constB152)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25361,plain,
% 7.92/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB152, constB153)) | (v180(constB153) <=> v178(constB152))),
% 7.92/6.06 inference(modus_ponens,[status(thm)],[25360, 25359])).
% 7.92/6.06 tff(25362,plain,
% 7.92/6.06 (v180(constB153) <=> v178(constB152)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25361, 13473, 70])).
% 7.92/6.06 tff(25363,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB152) <=> (v181(constB152) | v185(constB152)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25364,plain,
% 7.92/6.06 (v178(constB152) <=> (v181(constB152) | v185(constB152))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25363, 84])).
% 7.92/6.06 tff(25365,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB152) <=> (~((~v186(constB152)) | (~v187(constB152)))))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25366,plain,
% 7.92/6.06 (v185(constB152) <=> (~((~v186(constB152)) | (~v187(constB152))))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25365, 96])).
% 7.92/6.06 tff(25367,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB152) <=> (~((~v184(constB152)) | (~v159(constB152)))))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25368,plain,
% 7.92/6.06 (v187(constB152) <=> (~((~v184(constB152)) | (~v159(constB152))))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25367, 108])).
% 7.92/6.06 tff(25369,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25370,plain,
% 7.92/6.06 (v184(constB152) <=> (~((~v39(constB152)) | (~v9(constB152))))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25369, 120])).
% 7.92/6.06 tff(25371,plain,
% 7.92/6.06 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB152)) <=> v1(constB152))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25372,plain,
% 7.92/6.06 ((~v39(constB152)) <=> v1(constB152)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25371, 129])).
% 7.92/6.06 tff(25373,plain,
% 7.92/6.06 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152)) | (~v1(constB152))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25374,plain,
% 7.92/6.06 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25373, 18853])).
% 7.92/6.06 tff(25375,plain,
% 7.92/6.06 (~v39(constB152)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25374, 25372])).
% 7.92/6.06 tff(25376,plain,
% 7.92/6.06 (((~v39(constB152)) | (~v9(constB152))) | v39(constB152)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25377,plain,
% 7.92/6.06 ((~v39(constB152)) | (~v9(constB152))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25376, 25375])).
% 7.92/6.06 tff(25378,plain,
% 7.92/6.06 ((~(v184(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v184(constB152)) | (~((~v39(constB152)) | (~v9(constB152))))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25379,plain,
% 7.92/6.06 ((~(v184(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v184(constB152))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25378, 25377])).
% 7.92/6.06 tff(25380,plain,
% 7.92/6.06 (~v184(constB152)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25379, 25370])).
% 7.92/6.06 tff(25381,plain,
% 7.92/6.06 (((~v184(constB152)) | (~v159(constB152))) | v184(constB152)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25382,plain,
% 7.92/6.06 ((~v184(constB152)) | (~v159(constB152))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25381, 25380])).
% 7.92/6.06 tff(25383,plain,
% 7.92/6.06 ((~(v187(constB152) <=> (~((~v184(constB152)) | (~v159(constB152)))))) | (~v187(constB152)) | (~((~v184(constB152)) | (~v159(constB152))))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25384,plain,
% 7.92/6.06 ((~(v187(constB152) <=> (~((~v184(constB152)) | (~v159(constB152)))))) | (~v187(constB152))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25383, 25382])).
% 7.92/6.06 tff(25385,plain,
% 7.92/6.06 (~v187(constB152)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25384, 25368])).
% 7.92/6.06 tff(25386,plain,
% 7.92/6.06 (((~v186(constB152)) | (~v187(constB152))) | v187(constB152)),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25387,plain,
% 7.92/6.06 ((~v186(constB152)) | (~v187(constB152))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25386, 25385])).
% 7.92/6.06 tff(25388,plain,
% 7.92/6.06 ((~(v185(constB152) <=> (~((~v186(constB152)) | (~v187(constB152)))))) | (~v185(constB152)) | (~((~v186(constB152)) | (~v187(constB152))))),
% 7.92/6.06 inference(tautology,[status(thm)],[])).
% 7.92/6.06 tff(25389,plain,
% 7.92/6.06 (~v185(constB152)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25388, 25387, 25366])).
% 7.92/6.06 tff(25390,plain,
% 7.92/6.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152))))))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25391,plain,
% 7.92/6.06 ((v181(constB152) <=> (~((~v182(constB152)) | (~v157(constB152))))) <=> (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152)))))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25392,plain,
% 7.92/6.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v182(constB152)) | (~v157(constB152)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152))))))),
% 7.92/6.06 inference(monotonicity,[status(thm)],[25391])).
% 7.92/6.06 tff(25393,plain,
% 7.92/6.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v182(constB152)) | (~v157(constB152)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152))))))),
% 7.92/6.06 inference(transitivity,[status(thm)],[25392, 25390])).
% 7.92/6.06 tff(25394,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v182(constB152)) | (~v157(constB152)))))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25395,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152)))))),
% 7.92/6.06 inference(modus_ponens,[status(thm)],[25394, 25393])).
% 7.92/6.06 tff(25396,plain,
% 7.92/6.06 (v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152))))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25395, 161])).
% 7.92/6.06 tff(25397,plain,
% 7.92/6.06 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB152) <=> v180(constB152))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25398,plain,
% 7.92/6.06 (v157(constB152) <=> v180(constB152)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25397, 13])).
% 7.92/6.06 tff(25399,plain,
% 7.92/6.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB151, constB152)) | (v180(constB152) <=> v178(constB151)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB151, constB152)) | (v180(constB152) <=> v178(constB151)))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25400,plain,
% 7.92/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB151, constB152)) | (v180(constB152) <=> v178(constB151)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25401,plain,
% 7.92/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB151, constB152)) | (v180(constB152) <=> v178(constB151))),
% 7.92/6.06 inference(modus_ponens,[status(thm)],[25400, 25399])).
% 7.92/6.06 tff(25402,plain,
% 7.92/6.06 (v180(constB152) <=> v178(constB151)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25401, 13509, 70])).
% 7.92/6.06 tff(25403,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB151) <=> (v181(constB151) | v185(constB151)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25404,plain,
% 7.92/6.06 (v178(constB151) <=> (v181(constB151) | v185(constB151))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25403, 84])).
% 7.92/6.06 tff(25405,plain,
% 7.92/6.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151))))))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25406,plain,
% 7.92/6.06 ((v181(constB151) <=> (~((~v182(constB151)) | (~v157(constB151))))) <=> (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151)))))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25407,plain,
% 7.92/6.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v182(constB151)) | (~v157(constB151)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151))))))),
% 7.92/6.06 inference(monotonicity,[status(thm)],[25406])).
% 7.92/6.06 tff(25408,plain,
% 7.92/6.06 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v182(constB151)) | (~v157(constB151)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151))))))),
% 7.92/6.06 inference(transitivity,[status(thm)],[25407, 25405])).
% 7.92/6.06 tff(25409,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v182(constB151)) | (~v157(constB151)))))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25410,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151)))))),
% 7.92/6.06 inference(modus_ponens,[status(thm)],[25409, 25408])).
% 7.92/6.06 tff(25411,plain,
% 7.92/6.06 (v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151))))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25410, 161])).
% 7.92/6.06 tff(25412,plain,
% 7.92/6.06 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB151)) <=> v183(constB151))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25413,plain,
% 7.92/6.06 ((~v182(constB151)) <=> v183(constB151)),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25412, 193])).
% 7.92/6.06 tff(25414,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB151) <=> (v184(constB151) | v26(constB151)))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25415,plain,
% 7.92/6.06 (v183(constB151) <=> (v184(constB151) | v26(constB151))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25414, 202])).
% 7.92/6.06 tff(25416,plain,
% 7.92/6.06 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))),
% 7.92/6.06 inference(quant_inst,[status(thm)],[])).
% 7.92/6.06 tff(25417,plain,
% 7.92/6.06 (v184(constB151) <=> (~((~v39(constB151)) | (~v9(constB151))))),
% 7.92/6.06 inference(unit_resolution,[status(thm)],[25416, 120])).
% 7.92/6.06 tff(25418,plain,
% 7.92/6.06 (((~![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)))),
% 7.92/6.06 inference(rewrite,[status(thm)],[])).
% 7.92/6.06 tff(25419,plain,
% 7.92/6.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25420,plain,
% 7.92/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151))),
% 7.92/6.07 inference(modus_ponens,[status(thm)],[25419, 25418])).
% 7.92/6.07 tff(25421,plain,
% 7.92/6.07 (v13(constB152) <=> v9(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25420, 13509, 216])).
% 7.92/6.07 tff(25422,plain,
% 7.92/6.07 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB152) <=> v13(constB152))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25423,plain,
% 7.92/6.07 (v6(constB152) <=> v13(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25422, 230])).
% 7.92/6.07 tff(25424,plain,
% 7.92/6.07 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB152)) <=> v6(constB152))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25425,plain,
% 7.92/6.07 ((~v21(constB152)) <=> v6(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25424, 239])).
% 7.92/6.07 tff(25426,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB152) <=> (v20(constB152) | v21(constB152)))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25427,plain,
% 7.92/6.07 (v19(constB152) <=> (v20(constB152) | v21(constB152))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25426, 248])).
% 7.92/6.07 tff(25428,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25429,plain,
% 7.92/6.07 (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152))))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25428, 260])).
% 7.92/6.07 tff(25430,plain,
% 7.92/6.07 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB152)) <=> v18(constB152))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25431,plain,
% 7.92/6.07 ((~v4(constB152)) <=> v18(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25430, 269])).
% 7.92/6.07 tff(25432,plain,
% 7.92/6.07 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB152)),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25433,plain,
% 7.92/6.07 (v4(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25432, 278])).
% 7.92/6.07 tff(25434,plain,
% 7.92/6.07 ((~((~v4(constB152)) <=> v18(constB152))) | (~v4(constB152)) | (~v18(constB152))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25435,plain,
% 7.92/6.07 (~v18(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25434, 25433, 25431])).
% 7.92/6.07 tff(25436,plain,
% 7.92/6.07 ((~(v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))) | v18(constB152) | ((~v19(constB152)) | (~v22(constB152)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25437,plain,
% 7.92/6.07 ((~v19(constB152)) | (~v22(constB152))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25436, 25435, 25429])).
% 7.92/6.07 tff(25438,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB152) <=> (v1(constB152) | v6(constB152)))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25439,plain,
% 7.92/6.07 (v22(constB152) <=> (v1(constB152) | v6(constB152))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25438, 291])).
% 7.92/6.07 tff(25440,plain,
% 7.92/6.07 ((v1(constB152) | v6(constB152)) | (~v1(constB152))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25441,plain,
% 7.92/6.07 (v1(constB152) | v6(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25440, 18853])).
% 7.92/6.07 tff(25442,plain,
% 7.92/6.07 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152) | (~(v1(constB152) | v6(constB152)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25443,plain,
% 7.92/6.07 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25442, 25441])).
% 7.92/6.07 tff(25444,plain,
% 7.92/6.07 (v22(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25443, 25439])).
% 7.92/6.07 tff(25445,plain,
% 7.92/6.07 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152)) | (~v22(constB152))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25446,plain,
% 7.92/6.07 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25445, 25444])).
% 7.92/6.07 tff(25447,plain,
% 7.92/6.07 (~v19(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25446, 25437])).
% 7.92/6.07 tff(25448,plain,
% 7.92/6.07 ((~(v19(constB152) <=> (v20(constB152) | v21(constB152)))) | v19(constB152) | (~(v20(constB152) | v21(constB152)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25449,plain,
% 7.92/6.07 (~(v20(constB152) | v21(constB152))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25448, 25447, 25427])).
% 7.92/6.07 tff(25450,plain,
% 7.92/6.07 ((v20(constB152) | v21(constB152)) | (~v21(constB152))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25451,plain,
% 7.92/6.07 (~v21(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25450, 25449])).
% 7.92/6.07 tff(25452,plain,
% 7.92/6.07 ((~((~v21(constB152)) <=> v6(constB152))) | v21(constB152) | v6(constB152)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25453,plain,
% 7.92/6.07 (v6(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25452, 25451, 25425])).
% 7.92/6.07 tff(25454,plain,
% 7.92/6.07 ((~(v6(constB152) <=> v13(constB152))) | (~v6(constB152)) | v13(constB152)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25455,plain,
% 7.92/6.07 (v13(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25454, 25453, 25423])).
% 7.92/6.07 tff(25456,plain,
% 7.92/6.07 ((~(v13(constB152) <=> v9(constB151))) | (~v13(constB152)) | v9(constB151)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25457,plain,
% 7.92/6.07 (v9(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25456, 25455, 25421])).
% 7.92/6.07 tff(25458,plain,
% 7.92/6.07 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB151)) <=> v1(constB151))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25459,plain,
% 7.92/6.07 ((~v39(constB151)) <=> v1(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25458, 129])).
% 7.92/6.07 tff(25460,plain,
% 7.92/6.07 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151) | v1(constB151)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25461,plain,
% 7.92/6.07 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25460, 13553])).
% 7.92/6.07 tff(25462,plain,
% 7.92/6.07 (v39(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25461, 25459])).
% 7.92/6.07 tff(25463,plain,
% 7.92/6.07 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v39(constB151)) | (~v9(constB151))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25464,plain,
% 7.92/6.07 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v9(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25463, 25462])).
% 7.92/6.07 tff(25465,plain,
% 7.92/6.07 (~((~v39(constB151)) | (~v9(constB151)))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25464, 25457])).
% 7.92/6.07 tff(25466,plain,
% 7.92/6.07 ((~(v184(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))) | v184(constB151) | ((~v39(constB151)) | (~v9(constB151)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25467,plain,
% 7.92/6.07 (v184(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25466, 25465, 25417])).
% 7.92/6.07 tff(25468,plain,
% 7.92/6.07 ((v184(constB151) | v26(constB151)) | (~v184(constB151))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25469,plain,
% 7.92/6.07 (v184(constB151) | v26(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25468, 25467])).
% 7.92/6.07 tff(25470,plain,
% 7.92/6.07 ((~(v183(constB151) <=> (v184(constB151) | v26(constB151)))) | v183(constB151) | (~(v184(constB151) | v26(constB151)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25471,plain,
% 7.92/6.07 (v183(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25470, 25469, 25415])).
% 7.92/6.07 tff(25472,plain,
% 7.92/6.07 ((~((~v182(constB151)) <=> v183(constB151))) | (~v182(constB151)) | (~v183(constB151))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25473,plain,
% 7.92/6.07 (~v182(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25472, 25471, 25413])).
% 7.92/6.07 tff(25474,plain,
% 7.92/6.07 (((~v157(constB151)) | (~v182(constB151))) | v182(constB151)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25475,plain,
% 7.92/6.07 ((~v157(constB151)) | (~v182(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25474, 25473])).
% 7.92/6.07 tff(25476,plain,
% 7.92/6.07 ((~(v181(constB151) <=> (~((~v157(constB151)) | (~v182(constB151)))))) | (~v181(constB151)) | (~((~v157(constB151)) | (~v182(constB151))))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25477,plain,
% 7.92/6.07 (~v181(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25476, 25475, 25411])).
% 7.92/6.07 tff(25478,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB151) <=> (~((~v186(constB151)) | (~v187(constB151)))))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25479,plain,
% 7.92/6.07 (v185(constB151) <=> (~((~v186(constB151)) | (~v187(constB151))))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25478, 96])).
% 7.92/6.07 tff(25480,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB151) <=> (~((~v184(constB151)) | (~v159(constB151)))))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25481,plain,
% 7.92/6.07 (v187(constB151) <=> (~((~v184(constB151)) | (~v159(constB151))))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25480, 108])).
% 7.92/6.07 tff(25482,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB151) <=> v161(constB151))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25483,plain,
% 7.92/6.07 (v159(constB151) <=> v161(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25482, 345])).
% 7.92/6.07 tff(25484,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB151) <=> (v145(constB151) | v165(constB151)))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25485,plain,
% 7.92/6.07 (v164(constB151) <=> (v145(constB151) | v165(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25484, 357])).
% 7.92/6.07 tff(25486,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB151) <=> (v142(constB151) | v166(constB151)))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25487,plain,
% 7.92/6.07 (v165(constB151) <=> (v142(constB151) | v166(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25486, 369])).
% 7.92/6.07 tff(25488,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB151) <=> (v141(constB151) | v167(constB151)))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25489,plain,
% 7.92/6.07 (v166(constB151) <=> (v141(constB151) | v167(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25488, 381])).
% 7.92/6.07 tff(25490,plain,
% 7.92/6.07 (((~![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))))))),
% 7.92/6.07 inference(rewrite,[status(thm)],[])).
% 7.92/6.07 tff(25491,plain,
% 7.92/6.07 ((v141(constB151) <=> (~(v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0))))) <=> (v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))),
% 7.92/6.07 inference(rewrite,[status(thm)],[])).
% 7.92/6.07 tff(25492,plain,
% 7.92/6.07 (((~![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))))))),
% 7.92/6.07 inference(monotonicity,[status(thm)],[25491])).
% 7.92/6.07 tff(25493,plain,
% 7.92/6.07 (((~![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))))))),
% 7.92/6.07 inference(transitivity,[status(thm)],[25492, 25490])).
% 7.92/6.07 tff(25494,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB151) <=> (~(v88(constB151, bitIndex2) | (~v88(constB151, bitIndex1)) | (~v88(constB151, bitIndex0)))))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25495,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))),
% 7.92/6.07 inference(modus_ponens,[status(thm)],[25494, 25493])).
% 7.92/6.07 tff(25496,plain,
% 7.92/6.07 (v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25495, 396])).
% 7.92/6.07 tff(25497,plain,
% 7.92/6.07 ((~![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))))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25498,plain,
% 7.92/6.07 (~(((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)) | ((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)) | ((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0)))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25497, 416])).
% 7.92/6.07 tff(25499,plain,
% 7.92/6.07 ((((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)) | ((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)) | ((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0))) | (~((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25500,plain,
% 7.92/6.07 (~((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25499, 25498])).
% 7.92/6.07 tff(25501,plain,
% 7.92/6.07 (((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)) | (~v88(constB151, bitIndex2)) | v90(constB151, bitIndex2)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25502,plain,
% 7.92/6.07 (~v88(constB151, bitIndex2)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25501, 18775, 25500])).
% 7.92/6.07 tff(25503,plain,
% 7.92/6.07 ((((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)) | ((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)) | ((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0))) | (~((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25504,plain,
% 7.92/6.07 (~((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25503, 25498])).
% 7.92/6.07 tff(25505,plain,
% 7.92/6.07 (((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0)) | v88(constB151, bitIndex0) | (~v90(constB151, bitIndex0))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25506,plain,
% 7.92/6.07 (v88(constB151, bitIndex0)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25505, 18793, 25504])).
% 7.92/6.07 tff(25507,plain,
% 7.92/6.07 ((((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)) | ((~v88(constB151, bitIndex2)) <=> v90(constB151, bitIndex2)) | ((~v88(constB151, bitIndex0)) <=> v90(constB151, bitIndex0))) | (~((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25508,plain,
% 7.92/6.07 (~((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25507, 25498])).
% 7.92/6.07 tff(25509,plain,
% 7.92/6.07 (((~v88(constB151, bitIndex1)) <=> v90(constB151, bitIndex1)) | v88(constB151, bitIndex1) | (~v90(constB151, bitIndex1))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25510,plain,
% 7.92/6.07 (v88(constB151, bitIndex1)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25509, 18811, 25508])).
% 7.92/6.07 tff(25511,plain,
% 7.92/6.07 ((~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))) | (~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25512,plain,
% 7.92/6.07 (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25511, 25510, 25506, 25502])).
% 7.92/6.07 tff(25513,plain,
% 7.92/6.07 ((~(v141(constB151) <=> (~((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))) | v141(constB151) | ((~v88(constB151, bitIndex1)) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25514,plain,
% 7.92/6.07 (v141(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25513, 25512, 25496])).
% 7.92/6.07 tff(25515,plain,
% 7.92/6.07 ((v141(constB151) | v167(constB151)) | (~v141(constB151))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25516,plain,
% 7.92/6.07 (v141(constB151) | v167(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25515, 25514])).
% 7.92/6.07 tff(25517,plain,
% 7.92/6.07 ((~(v166(constB151) <=> (v141(constB151) | v167(constB151)))) | v166(constB151) | (~(v141(constB151) | v167(constB151)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25518,plain,
% 7.92/6.07 (v166(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25517, 25516, 25489])).
% 7.92/6.07 tff(25519,plain,
% 7.92/6.07 ((v142(constB151) | v166(constB151)) | (~v166(constB151))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25520,plain,
% 7.92/6.07 (v142(constB151) | v166(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25519, 25518])).
% 7.92/6.07 tff(25521,plain,
% 7.92/6.07 ((~(v165(constB151) <=> (v142(constB151) | v166(constB151)))) | v165(constB151) | (~(v142(constB151) | v166(constB151)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25522,plain,
% 7.92/6.07 ((~(v165(constB151) <=> (v142(constB151) | v166(constB151)))) | v165(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25521, 25520])).
% 7.92/6.07 tff(25523,plain,
% 7.92/6.07 (v165(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25522, 25487])).
% 7.92/6.07 tff(25524,plain,
% 7.92/6.07 ((v145(constB151) | v165(constB151)) | (~v165(constB151))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25525,plain,
% 7.92/6.07 (v145(constB151) | v165(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25524, 25523])).
% 7.92/6.07 tff(25526,plain,
% 7.92/6.07 ((~(v164(constB151) <=> (v145(constB151) | v165(constB151)))) | v164(constB151) | (~(v145(constB151) | v165(constB151)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25527,plain,
% 7.92/6.07 (v164(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25526, 25525, 25485])).
% 7.92/6.07 tff(25528,plain,
% 7.92/6.07 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB151)) | (v161(constB151) <=> v168(constB151)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB151)) | (v161(constB151) <=> v168(constB151)))),
% 7.92/6.07 inference(rewrite,[status(thm)],[])).
% 7.92/6.07 tff(25529,plain,
% 7.92/6.07 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB151)) | (v161(constB151) <=> v168(constB151)))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25530,plain,
% 7.92/6.07 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB151)) | (v161(constB151) <=> v168(constB151))),
% 7.92/6.07 inference(modus_ponens,[status(thm)],[25529, 25528])).
% 7.92/6.07 tff(25531,plain,
% 7.92/6.07 ((~v164(constB151)) | (v161(constB151) <=> v168(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25530, 12128])).
% 7.92/6.07 tff(25532,plain,
% 7.92/6.07 (v161(constB151) <=> v168(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25531, 25527])).
% 7.92/6.07 tff(25533,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB151) <=> (~(v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2))))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25534,plain,
% 7.92/6.07 (v139(constB151) <=> (~(v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2)))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25533, 12146])).
% 7.92/6.07 tff(25535,plain,
% 7.92/6.07 ((v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2)) | (~v88(constB151, bitIndex0))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25536,plain,
% 7.92/6.07 (v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25535, 25506])).
% 7.92/6.07 tff(25537,plain,
% 7.92/6.07 ((~(v139(constB151) <=> (~(v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2))))) | (~v139(constB151)) | (~(v88(constB151, bitIndex0) | v88(constB151, bitIndex1) | v88(constB151, bitIndex2)))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25538,plain,
% 7.92/6.07 (~v139(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25537, 25536, 25534])).
% 7.92/6.07 tff(25539,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB151) <=> (~(v88(constB151, bitIndex1) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25540,plain,
% 7.92/6.07 (v140(constB151) <=> (~(v88(constB151, bitIndex1) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25539, 12165])).
% 7.92/6.07 tff(25541,plain,
% 7.92/6.07 ((v88(constB151, bitIndex1) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))) | (~v88(constB151, bitIndex1))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25542,plain,
% 7.92/6.07 (v88(constB151, bitIndex1) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25541, 25510])).
% 7.92/6.07 tff(25543,plain,
% 7.92/6.07 ((~(v140(constB151) <=> (~(v88(constB151, bitIndex1) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0)))))) | (~v140(constB151)) | (~(v88(constB151, bitIndex1) | v88(constB151, bitIndex2) | (~v88(constB151, bitIndex0))))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25544,plain,
% 7.92/6.07 (~v140(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25543, 25542, 25540])).
% 7.92/6.07 tff(25545,plain,
% 7.92/6.07 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB151) | v140(constB151) | (~v168(constB151)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB151) | v140(constB151) | (~v168(constB151)))),
% 7.92/6.07 inference(rewrite,[status(thm)],[])).
% 7.92/6.07 tff(25546,plain,
% 7.92/6.07 ((v140(constB151) | v139(constB151) | (~v168(constB151))) <=> (v139(constB151) | v140(constB151) | (~v168(constB151)))),
% 7.92/6.07 inference(rewrite,[status(thm)],[])).
% 7.92/6.07 tff(25547,plain,
% 7.92/6.07 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB151) | v139(constB151) | (~v168(constB151)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB151) | v140(constB151) | (~v168(constB151))))),
% 7.92/6.07 inference(monotonicity,[status(thm)],[25546])).
% 7.92/6.07 tff(25548,plain,
% 7.92/6.07 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB151) | v139(constB151) | (~v168(constB151)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB151) | v140(constB151) | (~v168(constB151)))),
% 7.92/6.07 inference(transitivity,[status(thm)],[25547, 25545])).
% 7.92/6.07 tff(25549,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB151) | v139(constB151) | (~v168(constB151)))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25550,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB151) | v140(constB151) | (~v168(constB151))),
% 7.92/6.07 inference(modus_ponens,[status(thm)],[25549, 25548])).
% 7.92/6.07 tff(25551,plain,
% 7.92/6.07 (v139(constB151) | v140(constB151) | (~v168(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25550, 12184])).
% 7.92/6.07 tff(25552,plain,
% 7.92/6.07 (~v168(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25551, 25544, 25538])).
% 7.92/6.07 tff(25553,plain,
% 7.92/6.07 ((~(v161(constB151) <=> v168(constB151))) | (~v161(constB151)) | v168(constB151)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25554,plain,
% 7.92/6.07 ((~(v161(constB151) <=> v168(constB151))) | (~v161(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25553, 25552])).
% 7.92/6.07 tff(25555,plain,
% 7.92/6.07 (~v161(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25554, 25532])).
% 7.92/6.07 tff(25556,plain,
% 7.92/6.07 ((~(v159(constB151) <=> v161(constB151))) | (~v159(constB151)) | v161(constB151)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25557,plain,
% 7.92/6.07 ((~(v159(constB151) <=> v161(constB151))) | (~v159(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25556, 25555])).
% 7.92/6.07 tff(25558,plain,
% 7.92/6.07 (~v159(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25557, 25483])).
% 7.92/6.07 tff(25559,plain,
% 7.92/6.07 (((~v184(constB151)) | (~v159(constB151))) | v159(constB151)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25560,plain,
% 7.92/6.07 ((~v184(constB151)) | (~v159(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25559, 25558])).
% 7.92/6.07 tff(25561,plain,
% 7.92/6.07 ((~(v187(constB151) <=> (~((~v184(constB151)) | (~v159(constB151)))))) | (~v187(constB151)) | (~((~v184(constB151)) | (~v159(constB151))))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25562,plain,
% 7.92/6.07 (~v187(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25561, 25560, 25481])).
% 7.92/6.07 tff(25563,plain,
% 7.92/6.07 (((~v186(constB151)) | (~v187(constB151))) | v187(constB151)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25564,plain,
% 7.92/6.07 ((~v186(constB151)) | (~v187(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25563, 25562])).
% 7.92/6.07 tff(25565,plain,
% 7.92/6.07 ((~(v185(constB151) <=> (~((~v186(constB151)) | (~v187(constB151)))))) | (~v185(constB151)) | (~((~v186(constB151)) | (~v187(constB151))))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25566,plain,
% 7.92/6.07 (~v185(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25565, 25564, 25479])).
% 7.92/6.07 tff(25567,plain,
% 7.92/6.07 ((~(v181(constB151) | v185(constB151))) | v181(constB151) | v185(constB151)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25568,plain,
% 7.92/6.07 (~(v181(constB151) | v185(constB151))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25567, 25566, 25477])).
% 7.92/6.07 tff(25569,plain,
% 7.92/6.07 ((~(v178(constB151) <=> (v181(constB151) | v185(constB151)))) | (~v178(constB151)) | (v181(constB151) | v185(constB151))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25570,plain,
% 7.92/6.07 (~v178(constB151)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25569, 25568, 25404])).
% 7.92/6.07 tff(25571,plain,
% 7.92/6.07 ((~(v180(constB152) <=> v178(constB151))) | (~v180(constB152)) | v178(constB151)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25572,plain,
% 7.92/6.07 (~v180(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25571, 25570, 25402])).
% 7.92/6.07 tff(25573,plain,
% 7.92/6.07 ((~(v157(constB152) <=> v180(constB152))) | (~v157(constB152)) | v180(constB152)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25574,plain,
% 7.92/6.07 (~v157(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25573, 25572, 25398])).
% 7.92/6.07 tff(25575,plain,
% 7.92/6.07 (((~v157(constB152)) | (~v182(constB152))) | v157(constB152)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25576,plain,
% 7.92/6.07 ((~v157(constB152)) | (~v182(constB152))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25575, 25574])).
% 7.92/6.07 tff(25577,plain,
% 7.92/6.07 ((~(v181(constB152) <=> (~((~v157(constB152)) | (~v182(constB152)))))) | (~v181(constB152)) | (~((~v157(constB152)) | (~v182(constB152))))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25578,plain,
% 7.92/6.07 (~v181(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25577, 25576, 25396])).
% 7.92/6.07 tff(25579,plain,
% 7.92/6.07 ((~(v181(constB152) | v185(constB152))) | v181(constB152) | v185(constB152)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25580,plain,
% 7.92/6.07 (~(v181(constB152) | v185(constB152))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25579, 25578, 25389])).
% 7.92/6.07 tff(25581,plain,
% 7.92/6.07 ((~(v178(constB152) <=> (v181(constB152) | v185(constB152)))) | (~v178(constB152)) | (v181(constB152) | v185(constB152))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25582,plain,
% 7.92/6.07 (~v178(constB152)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25581, 25580, 25364])).
% 7.92/6.07 tff(25583,plain,
% 7.92/6.07 ((~(v180(constB153) <=> v178(constB152))) | (~v180(constB153)) | v178(constB152)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25584,plain,
% 7.92/6.07 (~v180(constB153)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25583, 25582, 25362])).
% 7.92/6.07 tff(25585,plain,
% 7.92/6.07 ($false),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25584, 25358])).
% 7.92/6.07 tff(25586,plain,(~(constB153 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.92/6.07 tff(25587,assumption,(constB187 = VarCurr!0), introduced(assumption)).
% 7.92/6.07 tff(25588,plain,
% 7.92/6.07 (v180(constB187) <=> v180(VarCurr!0)),
% 7.92/6.07 inference(monotonicity,[status(thm)],[25587])).
% 7.92/6.07 tff(25589,plain,
% 7.92/6.07 (v180(VarCurr!0) <=> v180(constB187)),
% 7.92/6.07 inference(symmetry,[status(thm)],[25588])).
% 7.92/6.07 tff(25590,plain,
% 7.92/6.07 (v180(constB187)),
% 7.92/6.07 inference(modus_ponens,[status(thm)],[59, 25589])).
% 7.92/6.07 tff(25591,plain,
% 7.92/6.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB186, constB187)) | (v180(constB187) <=> v178(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB186, constB187)) | (v180(constB187) <=> v178(constB186)))),
% 7.92/6.07 inference(rewrite,[status(thm)],[])).
% 7.92/6.07 tff(25592,plain,
% 7.92/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB186, constB187)) | (v180(constB187) <=> v178(constB186)))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25593,plain,
% 7.92/6.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB186, constB187)) | (v180(constB187) <=> v178(constB186))),
% 7.92/6.07 inference(modus_ponens,[status(thm)],[25592, 25591])).
% 7.92/6.07 tff(25594,plain,
% 7.92/6.07 (v180(constB187) <=> v178(constB186)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25593, 12384, 70])).
% 7.92/6.07 tff(25595,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB186) <=> (v181(constB186) | v185(constB186)))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25596,plain,
% 7.92/6.07 (v178(constB186) <=> (v181(constB186) | v185(constB186))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25595, 84])).
% 7.92/6.07 tff(25597,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB186) <=> (~((~v186(constB186)) | (~v187(constB186)))))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25598,plain,
% 7.92/6.07 (v185(constB186) <=> (~((~v186(constB186)) | (~v187(constB186))))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25597, 96])).
% 7.92/6.07 tff(25599,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB186) <=> (~((~v184(constB186)) | (~v159(constB186)))))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25600,plain,
% 7.92/6.07 (v187(constB186) <=> (~((~v184(constB186)) | (~v159(constB186))))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25599, 108])).
% 7.92/6.07 tff(25601,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25602,plain,
% 7.92/6.07 (v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186))))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25601, 120])).
% 7.92/6.07 tff(25603,plain,
% 7.92/6.07 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB186)) <=> v1(constB186))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25604,plain,
% 7.92/6.07 ((~v39(constB186)) <=> v1(constB186)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25603, 129])).
% 7.92/6.07 tff(25605,plain,
% 7.92/6.07 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186)) | (~v1(constB186))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25606,plain,
% 7.92/6.07 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25605, 21503])).
% 7.92/6.07 tff(25607,plain,
% 7.92/6.07 (~v39(constB186)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25606, 25604])).
% 7.92/6.07 tff(25608,plain,
% 7.92/6.07 (((~v39(constB186)) | (~v9(constB186))) | v39(constB186)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25609,plain,
% 7.92/6.07 ((~v39(constB186)) | (~v9(constB186))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25608, 25607])).
% 7.92/6.07 tff(25610,plain,
% 7.92/6.07 ((~(v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v184(constB186)) | (~((~v39(constB186)) | (~v9(constB186))))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25611,plain,
% 7.92/6.07 ((~(v184(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v184(constB186))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25610, 25609])).
% 7.92/6.07 tff(25612,plain,
% 7.92/6.07 (~v184(constB186)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25611, 25602])).
% 7.92/6.07 tff(25613,plain,
% 7.92/6.07 (((~v184(constB186)) | (~v159(constB186))) | v184(constB186)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25614,plain,
% 7.92/6.07 ((~v184(constB186)) | (~v159(constB186))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25613, 25612])).
% 7.92/6.07 tff(25615,plain,
% 7.92/6.07 ((~(v187(constB186) <=> (~((~v184(constB186)) | (~v159(constB186)))))) | (~v187(constB186)) | (~((~v184(constB186)) | (~v159(constB186))))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25616,plain,
% 7.92/6.07 ((~(v187(constB186) <=> (~((~v184(constB186)) | (~v159(constB186)))))) | (~v187(constB186))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25615, 25614])).
% 7.92/6.07 tff(25617,plain,
% 7.92/6.07 (~v187(constB186)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25616, 25600])).
% 7.92/6.07 tff(25618,plain,
% 7.92/6.07 (((~v186(constB186)) | (~v187(constB186))) | v187(constB186)),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25619,plain,
% 7.92/6.07 ((~v186(constB186)) | (~v187(constB186))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25618, 25617])).
% 7.92/6.07 tff(25620,plain,
% 7.92/6.07 ((~(v185(constB186) <=> (~((~v186(constB186)) | (~v187(constB186)))))) | (~v185(constB186)) | (~((~v186(constB186)) | (~v187(constB186))))),
% 7.92/6.07 inference(tautology,[status(thm)],[])).
% 7.92/6.07 tff(25621,plain,
% 7.92/6.07 (~v185(constB186)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25620, 25619, 25598])).
% 7.92/6.07 tff(25622,plain,
% 7.92/6.07 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186))))))),
% 7.92/6.07 inference(rewrite,[status(thm)],[])).
% 7.92/6.07 tff(25623,plain,
% 7.92/6.07 ((v181(constB186) <=> (~((~v182(constB186)) | (~v157(constB186))))) <=> (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186)))))),
% 7.92/6.07 inference(rewrite,[status(thm)],[])).
% 7.92/6.07 tff(25624,plain,
% 7.92/6.07 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v182(constB186)) | (~v157(constB186)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186))))))),
% 7.92/6.07 inference(monotonicity,[status(thm)],[25623])).
% 7.92/6.07 tff(25625,plain,
% 7.92/6.07 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v182(constB186)) | (~v157(constB186)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186))))))),
% 7.92/6.07 inference(transitivity,[status(thm)],[25624, 25622])).
% 7.92/6.07 tff(25626,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v182(constB186)) | (~v157(constB186)))))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25627,plain,
% 7.92/6.07 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186)))))),
% 7.92/6.07 inference(modus_ponens,[status(thm)],[25626, 25625])).
% 7.92/6.07 tff(25628,plain,
% 7.92/6.07 (v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186))))),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25627, 161])).
% 7.92/6.07 tff(25629,plain,
% 7.92/6.07 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB186) <=> v180(constB186))),
% 7.92/6.07 inference(quant_inst,[status(thm)],[])).
% 7.92/6.07 tff(25630,plain,
% 7.92/6.07 (v157(constB186) <=> v180(constB186)),
% 7.92/6.07 inference(unit_resolution,[status(thm)],[25629, 13])).
% 7.92/6.07 tff(25631,plain,
% 7.92/6.07 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB185, constB186)) | (v180(constB186) <=> v178(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB185, constB186)) | (v180(constB186) <=> v178(constB185)))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25632,plain,
% 7.92/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB185, constB186)) | (v180(constB186) <=> v178(constB185)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25633,plain,
% 7.92/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB185, constB186)) | (v180(constB186) <=> v178(constB185))),
% 7.92/6.08 inference(modus_ponens,[status(thm)],[25632, 25631])).
% 7.92/6.08 tff(25634,plain,
% 7.92/6.08 (v180(constB186) <=> v178(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25633, 12417, 70])).
% 7.92/6.08 tff(25635,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB185) <=> (v181(constB185) | v185(constB185)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25636,plain,
% 7.92/6.08 (v178(constB185) <=> (v181(constB185) | v185(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25635, 84])).
% 7.92/6.08 tff(25637,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185))))))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25638,plain,
% 7.92/6.08 ((v181(constB185) <=> (~((~v182(constB185)) | (~v157(constB185))))) <=> (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185)))))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25639,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v182(constB185)) | (~v157(constB185)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185))))))),
% 7.92/6.08 inference(monotonicity,[status(thm)],[25638])).
% 7.92/6.08 tff(25640,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v182(constB185)) | (~v157(constB185)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185))))))),
% 7.92/6.08 inference(transitivity,[status(thm)],[25639, 25637])).
% 7.92/6.08 tff(25641,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v182(constB185)) | (~v157(constB185)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25642,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185)))))),
% 7.92/6.08 inference(modus_ponens,[status(thm)],[25641, 25640])).
% 7.92/6.08 tff(25643,plain,
% 7.92/6.08 (v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25642, 161])).
% 7.92/6.08 tff(25644,plain,
% 7.92/6.08 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB185)) <=> v183(constB185))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25645,plain,
% 7.92/6.08 ((~v182(constB185)) <=> v183(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25644, 193])).
% 7.92/6.08 tff(25646,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB185) <=> (v184(constB185) | v26(constB185)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25647,plain,
% 7.92/6.08 (v183(constB185) <=> (v184(constB185) | v26(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25646, 202])).
% 7.92/6.08 tff(25648,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25649,plain,
% 7.92/6.08 (v184(constB185) <=> (~((~v39(constB185)) | (~v9(constB185))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25648, 120])).
% 7.92/6.08 tff(25650,plain,
% 7.92/6.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25651,plain,
% 7.92/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25652,plain,
% 7.92/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185))),
% 7.92/6.08 inference(modus_ponens,[status(thm)],[25651, 25650])).
% 7.92/6.08 tff(25653,plain,
% 7.92/6.08 (v13(constB186) <=> v9(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25652, 12417, 216])).
% 7.92/6.08 tff(25654,plain,
% 7.92/6.08 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB186) <=> v13(constB186))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25655,plain,
% 7.92/6.08 (v6(constB186) <=> v13(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25654, 230])).
% 7.92/6.08 tff(25656,plain,
% 7.92/6.08 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB186)) <=> v6(constB186))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25657,plain,
% 7.92/6.08 ((~v21(constB186)) <=> v6(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25656, 239])).
% 7.92/6.08 tff(25658,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB186) <=> (v20(constB186) | v21(constB186)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25659,plain,
% 7.92/6.08 (v19(constB186) <=> (v20(constB186) | v21(constB186))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25658, 248])).
% 7.92/6.08 tff(25660,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25661,plain,
% 7.92/6.08 (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25660, 260])).
% 7.92/6.08 tff(25662,plain,
% 7.92/6.08 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB186)) <=> v18(constB186))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25663,plain,
% 7.92/6.08 ((~v4(constB186)) <=> v18(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25662, 269])).
% 7.92/6.08 tff(25664,plain,
% 7.92/6.08 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB186)),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25665,plain,
% 7.92/6.08 (v4(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25664, 278])).
% 7.92/6.08 tff(25666,plain,
% 7.92/6.08 ((~((~v4(constB186)) <=> v18(constB186))) | (~v4(constB186)) | (~v18(constB186))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25667,plain,
% 7.92/6.08 (~v18(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25666, 25665, 25663])).
% 7.92/6.08 tff(25668,plain,
% 7.92/6.08 ((~(v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))) | v18(constB186) | ((~v19(constB186)) | (~v22(constB186)))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25669,plain,
% 7.92/6.08 ((~v19(constB186)) | (~v22(constB186))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25668, 25667, 25661])).
% 7.92/6.08 tff(25670,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB186) <=> (v1(constB186) | v6(constB186)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25671,plain,
% 7.92/6.08 (v22(constB186) <=> (v1(constB186) | v6(constB186))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25670, 291])).
% 7.92/6.08 tff(25672,plain,
% 7.92/6.08 ((v1(constB186) | v6(constB186)) | (~v1(constB186))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25673,plain,
% 7.92/6.08 (v1(constB186) | v6(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25672, 21503])).
% 7.92/6.08 tff(25674,plain,
% 7.92/6.08 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186) | (~(v1(constB186) | v6(constB186)))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25675,plain,
% 7.92/6.08 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25674, 25673])).
% 7.92/6.08 tff(25676,plain,
% 7.92/6.08 (v22(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25675, 25671])).
% 7.92/6.08 tff(25677,plain,
% 7.92/6.08 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186)) | (~v22(constB186))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25678,plain,
% 7.92/6.08 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25677, 25676])).
% 7.92/6.08 tff(25679,plain,
% 7.92/6.08 (~v19(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25678, 25669])).
% 7.92/6.08 tff(25680,plain,
% 7.92/6.08 ((~(v19(constB186) <=> (v20(constB186) | v21(constB186)))) | v19(constB186) | (~(v20(constB186) | v21(constB186)))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25681,plain,
% 7.92/6.08 (~(v20(constB186) | v21(constB186))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25680, 25679, 25659])).
% 7.92/6.08 tff(25682,plain,
% 7.92/6.08 ((v20(constB186) | v21(constB186)) | (~v21(constB186))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25683,plain,
% 7.92/6.08 (~v21(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25682, 25681])).
% 7.92/6.08 tff(25684,plain,
% 7.92/6.08 ((~((~v21(constB186)) <=> v6(constB186))) | v21(constB186) | v6(constB186)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25685,plain,
% 7.92/6.08 (v6(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25684, 25683, 25657])).
% 7.92/6.08 tff(25686,plain,
% 7.92/6.08 ((~(v6(constB186) <=> v13(constB186))) | (~v6(constB186)) | v13(constB186)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25687,plain,
% 7.92/6.08 (v13(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25686, 25685, 25655])).
% 7.92/6.08 tff(25688,plain,
% 7.92/6.08 ((~(v13(constB186) <=> v9(constB185))) | (~v13(constB186)) | v9(constB185)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25689,plain,
% 7.92/6.08 (v9(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25688, 25687, 25653])).
% 7.92/6.08 tff(25690,plain,
% 7.92/6.08 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB185)) <=> v1(constB185))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25691,plain,
% 7.92/6.08 ((~v39(constB185)) <=> v1(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25690, 129])).
% 7.92/6.08 tff(25692,plain,
% 7.92/6.08 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185) | v1(constB185)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25693,plain,
% 7.92/6.08 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25692, 12461])).
% 7.92/6.08 tff(25694,plain,
% 7.92/6.08 (v39(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25693, 25691])).
% 7.92/6.08 tff(25695,plain,
% 7.92/6.08 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v39(constB185)) | (~v9(constB185))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25696,plain,
% 7.92/6.08 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v9(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25695, 25694])).
% 7.92/6.08 tff(25697,plain,
% 7.92/6.08 (~((~v39(constB185)) | (~v9(constB185)))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25696, 25689])).
% 7.92/6.08 tff(25698,plain,
% 7.92/6.08 ((~(v184(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))) | v184(constB185) | ((~v39(constB185)) | (~v9(constB185)))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25699,plain,
% 7.92/6.08 (v184(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25698, 25697, 25649])).
% 7.92/6.08 tff(25700,plain,
% 7.92/6.08 ((v184(constB185) | v26(constB185)) | (~v184(constB185))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25701,plain,
% 7.92/6.08 (v184(constB185) | v26(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25700, 25699])).
% 7.92/6.08 tff(25702,plain,
% 7.92/6.08 ((~(v183(constB185) <=> (v184(constB185) | v26(constB185)))) | v183(constB185) | (~(v184(constB185) | v26(constB185)))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25703,plain,
% 7.92/6.08 (v183(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25702, 25701, 25647])).
% 7.92/6.08 tff(25704,plain,
% 7.92/6.08 ((~((~v182(constB185)) <=> v183(constB185))) | (~v182(constB185)) | (~v183(constB185))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25705,plain,
% 7.92/6.08 (~v182(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25704, 25703, 25645])).
% 7.92/6.08 tff(25706,plain,
% 7.92/6.08 (((~v157(constB185)) | (~v182(constB185))) | v182(constB185)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25707,plain,
% 7.92/6.08 ((~v157(constB185)) | (~v182(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25706, 25705])).
% 7.92/6.08 tff(25708,plain,
% 7.92/6.08 ((~(v181(constB185) <=> (~((~v157(constB185)) | (~v182(constB185)))))) | (~v181(constB185)) | (~((~v157(constB185)) | (~v182(constB185))))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25709,plain,
% 7.92/6.08 (~v181(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25708, 25707, 25643])).
% 7.92/6.08 tff(25710,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB185) <=> (~((~v186(constB185)) | (~v187(constB185)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25711,plain,
% 7.92/6.08 (v185(constB185) <=> (~((~v186(constB185)) | (~v187(constB185))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25710, 96])).
% 7.92/6.08 tff(25712,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB185) <=> (~((~v184(constB185)) | (~v159(constB185)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25713,plain,
% 7.92/6.08 (v187(constB185) <=> (~((~v184(constB185)) | (~v159(constB185))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25712, 108])).
% 7.92/6.08 tff(25714,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB185) <=> v161(constB185))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25715,plain,
% 7.92/6.08 (v159(constB185) <=> v161(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25714, 345])).
% 7.92/6.08 tff(25716,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB185) <=> (v145(constB185) | v165(constB185)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25717,plain,
% 7.92/6.08 (v164(constB185) <=> (v145(constB185) | v165(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25716, 357])).
% 7.92/6.08 tff(25718,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB185) <=> (v142(constB185) | v166(constB185)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25719,plain,
% 7.92/6.08 (v165(constB185) <=> (v142(constB185) | v166(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25718, 369])).
% 7.92/6.08 tff(25720,plain,
% 7.92/6.08 ((v142(constB185) | v166(constB185)) | (~v142(constB185))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25721,plain,
% 7.92/6.08 (v142(constB185) | v166(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25720, 24337])).
% 7.92/6.08 tff(25722,plain,
% 7.92/6.08 ((~(v165(constB185) <=> (v142(constB185) | v166(constB185)))) | v165(constB185) | (~(v142(constB185) | v166(constB185)))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25723,plain,
% 7.92/6.08 ((~(v165(constB185) <=> (v142(constB185) | v166(constB185)))) | v165(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25722, 25721])).
% 7.92/6.08 tff(25724,plain,
% 7.92/6.08 (v165(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25723, 25719])).
% 7.92/6.08 tff(25725,plain,
% 7.92/6.08 ((v145(constB185) | v165(constB185)) | (~v165(constB185))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25726,plain,
% 7.92/6.08 (v145(constB185) | v165(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25725, 25724])).
% 7.92/6.08 tff(25727,plain,
% 7.92/6.08 ((~(v164(constB185) <=> (v145(constB185) | v165(constB185)))) | v164(constB185) | (~(v145(constB185) | v165(constB185)))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25728,plain,
% 7.92/6.08 (v164(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25727, 25726, 25717])).
% 7.92/6.08 tff(25729,plain,
% 7.92/6.08 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB185)) | (v161(constB185) <=> v168(constB185)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB185)) | (v161(constB185) <=> v168(constB185)))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25730,plain,
% 7.92/6.08 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB185)) | (v161(constB185) <=> v168(constB185)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25731,plain,
% 7.92/6.08 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB185)) | (v161(constB185) <=> v168(constB185))),
% 7.92/6.08 inference(modus_ponens,[status(thm)],[25730, 25729])).
% 7.92/6.08 tff(25732,plain,
% 7.92/6.08 ((~v164(constB185)) | (v161(constB185) <=> v168(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25731, 12128])).
% 7.92/6.08 tff(25733,plain,
% 7.92/6.08 (v161(constB185) <=> v168(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25732, 25728])).
% 7.92/6.08 tff(25734,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25735,plain,
% 7.92/6.08 (v139(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25734, 12146])).
% 7.92/6.08 tff(25736,plain,
% 7.92/6.08 ((v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25737,plain,
% 7.92/6.08 (v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25736, 24329])).
% 7.92/6.08 tff(25738,plain,
% 7.92/6.08 ((~(v139(constB185) <=> (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2))))) | (~v139(constB185)) | (~(v88(constB185, bitIndex0) | v88(constB185, bitIndex1) | v88(constB185, bitIndex2)))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25739,plain,
% 7.92/6.08 (~v139(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25738, 25737, 25735])).
% 7.92/6.08 tff(25740,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB185) <=> (~(v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25741,plain,
% 7.92/6.08 (v140(constB185) <=> (~(v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25740, 12165])).
% 7.92/6.08 tff(25742,plain,
% 7.92/6.08 ((v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0))) | (~v88(constB185, bitIndex1))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25743,plain,
% 7.92/6.08 (v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25742, 24329])).
% 7.92/6.08 tff(25744,plain,
% 7.92/6.08 ((~(v140(constB185) <=> (~(v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0)))))) | (~v140(constB185)) | (~(v88(constB185, bitIndex1) | v88(constB185, bitIndex2) | (~v88(constB185, bitIndex0))))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25745,plain,
% 7.92/6.08 (~v140(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25744, 25743, 25741])).
% 7.92/6.08 tff(25746,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB185) | v140(constB185) | (~v168(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB185) | v140(constB185) | (~v168(constB185)))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25747,plain,
% 7.92/6.08 ((v140(constB185) | v139(constB185) | (~v168(constB185))) <=> (v139(constB185) | v140(constB185) | (~v168(constB185)))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25748,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v168(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB185) | v140(constB185) | (~v168(constB185))))),
% 7.92/6.08 inference(monotonicity,[status(thm)],[25747])).
% 7.92/6.08 tff(25749,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v168(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB185) | v140(constB185) | (~v168(constB185)))),
% 7.92/6.08 inference(transitivity,[status(thm)],[25748, 25746])).
% 7.92/6.08 tff(25750,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v168(constB185)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25751,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB185) | v140(constB185) | (~v168(constB185))),
% 7.92/6.08 inference(modus_ponens,[status(thm)],[25750, 25749])).
% 7.92/6.08 tff(25752,plain,
% 7.92/6.08 (v139(constB185) | v140(constB185) | (~v168(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25751, 12184])).
% 7.92/6.08 tff(25753,plain,
% 7.92/6.08 (~v168(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25752, 25745, 25739])).
% 7.92/6.08 tff(25754,plain,
% 7.92/6.08 ((~(v161(constB185) <=> v168(constB185))) | (~v161(constB185)) | v168(constB185)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25755,plain,
% 7.92/6.08 ((~(v161(constB185) <=> v168(constB185))) | (~v161(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25754, 25753])).
% 7.92/6.08 tff(25756,plain,
% 7.92/6.08 (~v161(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25755, 25733])).
% 7.92/6.08 tff(25757,plain,
% 7.92/6.08 ((~(v159(constB185) <=> v161(constB185))) | (~v159(constB185)) | v161(constB185)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25758,plain,
% 7.92/6.08 ((~(v159(constB185) <=> v161(constB185))) | (~v159(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25757, 25756])).
% 7.92/6.08 tff(25759,plain,
% 7.92/6.08 (~v159(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25758, 25715])).
% 7.92/6.08 tff(25760,plain,
% 7.92/6.08 (((~v184(constB185)) | (~v159(constB185))) | v159(constB185)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25761,plain,
% 7.92/6.08 ((~v184(constB185)) | (~v159(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25760, 25759])).
% 7.92/6.08 tff(25762,plain,
% 7.92/6.08 ((~(v187(constB185) <=> (~((~v184(constB185)) | (~v159(constB185)))))) | (~v187(constB185)) | (~((~v184(constB185)) | (~v159(constB185))))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25763,plain,
% 7.92/6.08 (~v187(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25762, 25761, 25713])).
% 7.92/6.08 tff(25764,plain,
% 7.92/6.08 (((~v186(constB185)) | (~v187(constB185))) | v187(constB185)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25765,plain,
% 7.92/6.08 ((~v186(constB185)) | (~v187(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25764, 25763])).
% 7.92/6.08 tff(25766,plain,
% 7.92/6.08 ((~(v185(constB185) <=> (~((~v186(constB185)) | (~v187(constB185)))))) | (~v185(constB185)) | (~((~v186(constB185)) | (~v187(constB185))))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25767,plain,
% 7.92/6.08 (~v185(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25766, 25765, 25711])).
% 7.92/6.08 tff(25768,plain,
% 7.92/6.08 ((~(v181(constB185) | v185(constB185))) | v181(constB185) | v185(constB185)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25769,plain,
% 7.92/6.08 (~(v181(constB185) | v185(constB185))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25768, 25767, 25709])).
% 7.92/6.08 tff(25770,plain,
% 7.92/6.08 ((~(v178(constB185) <=> (v181(constB185) | v185(constB185)))) | (~v178(constB185)) | (v181(constB185) | v185(constB185))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25771,plain,
% 7.92/6.08 (~v178(constB185)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25770, 25769, 25636])).
% 7.92/6.08 tff(25772,plain,
% 7.92/6.08 ((~(v180(constB186) <=> v178(constB185))) | (~v180(constB186)) | v178(constB185)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25773,plain,
% 7.92/6.08 (~v180(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25772, 25771, 25634])).
% 7.92/6.08 tff(25774,plain,
% 7.92/6.08 ((~(v157(constB186) <=> v180(constB186))) | (~v157(constB186)) | v180(constB186)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25775,plain,
% 7.92/6.08 (~v157(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25774, 25773, 25630])).
% 7.92/6.08 tff(25776,plain,
% 7.92/6.08 (((~v157(constB186)) | (~v182(constB186))) | v157(constB186)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25777,plain,
% 7.92/6.08 ((~v157(constB186)) | (~v182(constB186))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25776, 25775])).
% 7.92/6.08 tff(25778,plain,
% 7.92/6.08 ((~(v181(constB186) <=> (~((~v157(constB186)) | (~v182(constB186)))))) | (~v181(constB186)) | (~((~v157(constB186)) | (~v182(constB186))))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25779,plain,
% 7.92/6.08 (~v181(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25778, 25777, 25628])).
% 7.92/6.08 tff(25780,plain,
% 7.92/6.08 ((~(v181(constB186) | v185(constB186))) | v181(constB186) | v185(constB186)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25781,plain,
% 7.92/6.08 (~(v181(constB186) | v185(constB186))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25780, 25779, 25621])).
% 7.92/6.08 tff(25782,plain,
% 7.92/6.08 ((~(v178(constB186) <=> (v181(constB186) | v185(constB186)))) | (~v178(constB186)) | (v181(constB186) | v185(constB186))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25783,plain,
% 7.92/6.08 (~v178(constB186)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25782, 25781, 25596])).
% 7.92/6.08 tff(25784,plain,
% 7.92/6.08 ((~(v180(constB187) <=> v178(constB186))) | (~v180(constB187)) | v178(constB186)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25785,plain,
% 7.92/6.08 (~v180(constB187)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25784, 25783, 25594])).
% 7.92/6.08 tff(25786,plain,
% 7.92/6.08 ($false),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25785, 25590])).
% 7.92/6.08 tff(25787,plain,(~(constB187 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.92/6.08 tff(25788,assumption,(constB141 = VarCurr!0), introduced(assumption)).
% 7.92/6.08 tff(25789,plain,
% 7.92/6.08 (v180(constB141) <=> v180(VarCurr!0)),
% 7.92/6.08 inference(monotonicity,[status(thm)],[25788])).
% 7.92/6.08 tff(25790,plain,
% 7.92/6.08 (v180(VarCurr!0) <=> v180(constB141)),
% 7.92/6.08 inference(symmetry,[status(thm)],[25789])).
% 7.92/6.08 tff(25791,plain,
% 7.92/6.08 (v180(constB141)),
% 7.92/6.08 inference(modus_ponens,[status(thm)],[59, 25790])).
% 7.92/6.08 tff(25792,plain,
% 7.92/6.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB140, constB141)) | (v180(constB141) <=> v178(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB140, constB141)) | (v180(constB141) <=> v178(constB140)))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25793,plain,
% 7.92/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB140, constB141)) | (v180(constB141) <=> v178(constB140)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25794,plain,
% 7.92/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB140, constB141)) | (v180(constB141) <=> v178(constB140))),
% 7.92/6.08 inference(modus_ponens,[status(thm)],[25793, 25792])).
% 7.92/6.08 tff(25795,plain,
% 7.92/6.08 (v180(constB141) <=> v178(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25794, 13859, 70])).
% 7.92/6.08 tff(25796,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB140) <=> (v181(constB140) | v185(constB140)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25797,plain,
% 7.92/6.08 (v178(constB140) <=> (v181(constB140) | v185(constB140))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25796, 84])).
% 7.92/6.08 tff(25798,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB140) <=> (~((~v186(constB140)) | (~v187(constB140)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25799,plain,
% 7.92/6.08 (v185(constB140) <=> (~((~v186(constB140)) | (~v187(constB140))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25798, 96])).
% 7.92/6.08 tff(25800,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB140) <=> (~((~v184(constB140)) | (~v159(constB140)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25801,plain,
% 7.92/6.08 (v187(constB140) <=> (~((~v184(constB140)) | (~v159(constB140))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25800, 108])).
% 7.92/6.08 tff(25802,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25803,plain,
% 7.92/6.08 (v184(constB140) <=> (~((~v39(constB140)) | (~v9(constB140))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25802, 120])).
% 7.92/6.08 tff(25804,plain,
% 7.92/6.08 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB140)) <=> v1(constB140))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25805,plain,
% 7.92/6.08 ((~v39(constB140)) <=> v1(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25804, 129])).
% 7.92/6.08 tff(25806,plain,
% 7.92/6.08 ((~((~v39(constB140)) <=> v1(constB140))) | (~v39(constB140)) | (~v1(constB140))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25807,plain,
% 7.92/6.08 ((~((~v39(constB140)) <=> v1(constB140))) | (~v39(constB140))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25806, 17918])).
% 7.92/6.08 tff(25808,plain,
% 7.92/6.08 (~v39(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25807, 25805])).
% 7.92/6.08 tff(25809,plain,
% 7.92/6.08 (((~v39(constB140)) | (~v9(constB140))) | v39(constB140)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25810,plain,
% 7.92/6.08 ((~v39(constB140)) | (~v9(constB140))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25809, 25808])).
% 7.92/6.08 tff(25811,plain,
% 7.92/6.08 ((~(v184(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))) | (~v184(constB140)) | (~((~v39(constB140)) | (~v9(constB140))))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25812,plain,
% 7.92/6.08 ((~(v184(constB140) <=> (~((~v39(constB140)) | (~v9(constB140)))))) | (~v184(constB140))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25811, 25810])).
% 7.92/6.08 tff(25813,plain,
% 7.92/6.08 (~v184(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25812, 25803])).
% 7.92/6.08 tff(25814,plain,
% 7.92/6.08 (((~v184(constB140)) | (~v159(constB140))) | v184(constB140)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25815,plain,
% 7.92/6.08 ((~v184(constB140)) | (~v159(constB140))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25814, 25813])).
% 7.92/6.08 tff(25816,plain,
% 7.92/6.08 ((~(v187(constB140) <=> (~((~v184(constB140)) | (~v159(constB140)))))) | (~v187(constB140)) | (~((~v184(constB140)) | (~v159(constB140))))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25817,plain,
% 7.92/6.08 ((~(v187(constB140) <=> (~((~v184(constB140)) | (~v159(constB140)))))) | (~v187(constB140))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25816, 25815])).
% 7.92/6.08 tff(25818,plain,
% 7.92/6.08 (~v187(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25817, 25801])).
% 7.92/6.08 tff(25819,plain,
% 7.92/6.08 (((~v186(constB140)) | (~v187(constB140))) | v187(constB140)),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25820,plain,
% 7.92/6.08 ((~v186(constB140)) | (~v187(constB140))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25819, 25818])).
% 7.92/6.08 tff(25821,plain,
% 7.92/6.08 ((~(v185(constB140) <=> (~((~v186(constB140)) | (~v187(constB140)))))) | (~v185(constB140)) | (~((~v186(constB140)) | (~v187(constB140))))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25822,plain,
% 7.92/6.08 (~v185(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25821, 25820, 25799])).
% 7.92/6.08 tff(25823,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140))))))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25824,plain,
% 7.92/6.08 ((v181(constB140) <=> (~((~v182(constB140)) | (~v157(constB140))))) <=> (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140)))))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25825,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v182(constB140)) | (~v157(constB140)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140))))))),
% 7.92/6.08 inference(monotonicity,[status(thm)],[25824])).
% 7.92/6.08 tff(25826,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v182(constB140)) | (~v157(constB140)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140))))))),
% 7.92/6.08 inference(transitivity,[status(thm)],[25825, 25823])).
% 7.92/6.08 tff(25827,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v182(constB140)) | (~v157(constB140)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25828,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140)))))),
% 7.92/6.08 inference(modus_ponens,[status(thm)],[25827, 25826])).
% 7.92/6.08 tff(25829,plain,
% 7.92/6.08 (v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25828, 161])).
% 7.92/6.08 tff(25830,plain,
% 7.92/6.08 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB140) <=> v180(constB140))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25831,plain,
% 7.92/6.08 (v157(constB140) <=> v180(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25830, 13])).
% 7.92/6.08 tff(25832,plain,
% 7.92/6.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB139, constB140)) | (v180(constB140) <=> v178(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB139, constB140)) | (v180(constB140) <=> v178(constB139)))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25833,plain,
% 7.92/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB139, constB140)) | (v180(constB140) <=> v178(constB139)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25834,plain,
% 7.92/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB139, constB140)) | (v180(constB140) <=> v178(constB139))),
% 7.92/6.08 inference(modus_ponens,[status(thm)],[25833, 25832])).
% 7.92/6.08 tff(25835,plain,
% 7.92/6.08 (v180(constB140) <=> v178(constB139)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25834, 13895, 70])).
% 7.92/6.08 tff(25836,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB139) <=> (v181(constB139) | v185(constB139)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25837,plain,
% 7.92/6.08 (v178(constB139) <=> (v181(constB139) | v185(constB139))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25836, 84])).
% 7.92/6.08 tff(25838,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139))))))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25839,plain,
% 7.92/6.08 ((v181(constB139) <=> (~((~v182(constB139)) | (~v157(constB139))))) <=> (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139)))))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25840,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v182(constB139)) | (~v157(constB139)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139))))))),
% 7.92/6.08 inference(monotonicity,[status(thm)],[25839])).
% 7.92/6.08 tff(25841,plain,
% 7.92/6.08 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v182(constB139)) | (~v157(constB139)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139))))))),
% 7.92/6.08 inference(transitivity,[status(thm)],[25840, 25838])).
% 7.92/6.08 tff(25842,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v182(constB139)) | (~v157(constB139)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25843,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139)))))),
% 7.92/6.08 inference(modus_ponens,[status(thm)],[25842, 25841])).
% 7.92/6.08 tff(25844,plain,
% 7.92/6.08 (v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25843, 161])).
% 7.92/6.08 tff(25845,plain,
% 7.92/6.08 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB139)) <=> v183(constB139))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25846,plain,
% 7.92/6.08 ((~v182(constB139)) <=> v183(constB139)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25845, 193])).
% 7.92/6.08 tff(25847,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB139) <=> (v184(constB139) | v26(constB139)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25848,plain,
% 7.92/6.08 (v183(constB139) <=> (v184(constB139) | v26(constB139))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25847, 202])).
% 7.92/6.08 tff(25849,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB139) <=> (~((~v39(constB139)) | (~v9(constB139)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25850,plain,
% 7.92/6.08 (v184(constB139) <=> (~((~v39(constB139)) | (~v9(constB139))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25849, 120])).
% 7.92/6.08 tff(25851,plain,
% 7.92/6.08 (((~![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)))),
% 7.92/6.08 inference(rewrite,[status(thm)],[])).
% 7.92/6.08 tff(25852,plain,
% 7.92/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25853,plain,
% 7.92/6.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB139, constB140)) | (v13(constB140) <=> v9(constB139))),
% 7.92/6.08 inference(modus_ponens,[status(thm)],[25852, 25851])).
% 7.92/6.08 tff(25854,plain,
% 7.92/6.08 (v13(constB140) <=> v9(constB139)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25853, 13895, 216])).
% 7.92/6.08 tff(25855,plain,
% 7.92/6.08 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB140) <=> v13(constB140))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25856,plain,
% 7.92/6.08 (v6(constB140) <=> v13(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25855, 230])).
% 7.92/6.08 tff(25857,plain,
% 7.92/6.08 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB140)) <=> v6(constB140))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25858,plain,
% 7.92/6.08 ((~v21(constB140)) <=> v6(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25857, 239])).
% 7.92/6.08 tff(25859,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB140) <=> (v20(constB140) | v21(constB140)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25860,plain,
% 7.92/6.08 (v19(constB140) <=> (v20(constB140) | v21(constB140))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25859, 248])).
% 7.92/6.08 tff(25861,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140)))))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25862,plain,
% 7.92/6.08 (v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140))))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25861, 260])).
% 7.92/6.08 tff(25863,plain,
% 7.92/6.08 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB140)) <=> v18(constB140))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25864,plain,
% 7.92/6.08 ((~v4(constB140)) <=> v18(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25863, 269])).
% 7.92/6.08 tff(25865,plain,
% 7.92/6.08 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB140)),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25866,plain,
% 7.92/6.08 (v4(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25865, 278])).
% 7.92/6.08 tff(25867,plain,
% 7.92/6.08 ((~((~v4(constB140)) <=> v18(constB140))) | (~v4(constB140)) | (~v18(constB140))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25868,plain,
% 7.92/6.08 (~v18(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25867, 25866, 25864])).
% 7.92/6.08 tff(25869,plain,
% 7.92/6.08 ((~(v18(constB140) <=> (~((~v19(constB140)) | (~v22(constB140)))))) | v18(constB140) | ((~v19(constB140)) | (~v22(constB140)))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25870,plain,
% 7.92/6.08 ((~v19(constB140)) | (~v22(constB140))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25869, 25868, 25862])).
% 7.92/6.08 tff(25871,plain,
% 7.92/6.08 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB140) <=> (v1(constB140) | v6(constB140)))),
% 7.92/6.08 inference(quant_inst,[status(thm)],[])).
% 7.92/6.08 tff(25872,plain,
% 7.92/6.08 (v22(constB140) <=> (v1(constB140) | v6(constB140))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25871, 291])).
% 7.92/6.08 tff(25873,plain,
% 7.92/6.08 ((v1(constB140) | v6(constB140)) | (~v1(constB140))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25874,plain,
% 7.92/6.08 (v1(constB140) | v6(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25873, 17918])).
% 7.92/6.08 tff(25875,plain,
% 7.92/6.08 ((~(v22(constB140) <=> (v1(constB140) | v6(constB140)))) | v22(constB140) | (~(v1(constB140) | v6(constB140)))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25876,plain,
% 7.92/6.08 ((~(v22(constB140) <=> (v1(constB140) | v6(constB140)))) | v22(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25875, 25874])).
% 7.92/6.08 tff(25877,plain,
% 7.92/6.08 (v22(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25876, 25872])).
% 7.92/6.08 tff(25878,plain,
% 7.92/6.08 ((~((~v19(constB140)) | (~v22(constB140)))) | (~v19(constB140)) | (~v22(constB140))),
% 7.92/6.08 inference(tautology,[status(thm)],[])).
% 7.92/6.08 tff(25879,plain,
% 7.92/6.08 ((~((~v19(constB140)) | (~v22(constB140)))) | (~v19(constB140))),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25878, 25877])).
% 7.92/6.08 tff(25880,plain,
% 7.92/6.08 (~v19(constB140)),
% 7.92/6.08 inference(unit_resolution,[status(thm)],[25879, 25870])).
% 7.92/6.09 tff(25881,plain,
% 7.92/6.09 ((~(v19(constB140) <=> (v20(constB140) | v21(constB140)))) | v19(constB140) | (~(v20(constB140) | v21(constB140)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25882,plain,
% 7.92/6.09 (~(v20(constB140) | v21(constB140))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25881, 25880, 25860])).
% 7.92/6.09 tff(25883,plain,
% 7.92/6.09 ((v20(constB140) | v21(constB140)) | (~v21(constB140))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25884,plain,
% 7.92/6.09 (~v21(constB140)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25883, 25882])).
% 7.92/6.09 tff(25885,plain,
% 7.92/6.09 ((~((~v21(constB140)) <=> v6(constB140))) | v21(constB140) | v6(constB140)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25886,plain,
% 7.92/6.09 (v6(constB140)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25885, 25884, 25858])).
% 7.92/6.09 tff(25887,plain,
% 7.92/6.09 ((~(v6(constB140) <=> v13(constB140))) | (~v6(constB140)) | v13(constB140)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25888,plain,
% 7.92/6.09 (v13(constB140)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25887, 25886, 25856])).
% 7.92/6.09 tff(25889,plain,
% 7.92/6.09 ((~(v13(constB140) <=> v9(constB139))) | (~v13(constB140)) | v9(constB139)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25890,plain,
% 7.92/6.09 (v9(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25889, 25888, 25854])).
% 7.92/6.09 tff(25891,plain,
% 7.92/6.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB139)) <=> v1(constB139))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25892,plain,
% 7.92/6.09 ((~v39(constB139)) <=> v1(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25891, 129])).
% 7.92/6.09 tff(25893,plain,
% 7.92/6.09 ((~((~v39(constB139)) <=> v1(constB139))) | v39(constB139) | v1(constB139)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25894,plain,
% 7.92/6.09 ((~((~v39(constB139)) <=> v1(constB139))) | v39(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25893, 13939])).
% 7.92/6.09 tff(25895,plain,
% 7.92/6.09 (v39(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25894, 25892])).
% 7.92/6.09 tff(25896,plain,
% 7.92/6.09 ((~((~v39(constB139)) | (~v9(constB139)))) | (~v39(constB139)) | (~v9(constB139))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25897,plain,
% 7.92/6.09 ((~((~v39(constB139)) | (~v9(constB139)))) | (~v9(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25896, 25895])).
% 7.92/6.09 tff(25898,plain,
% 7.92/6.09 (~((~v39(constB139)) | (~v9(constB139)))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25897, 25890])).
% 7.92/6.09 tff(25899,plain,
% 7.92/6.09 ((~(v184(constB139) <=> (~((~v39(constB139)) | (~v9(constB139)))))) | v184(constB139) | ((~v39(constB139)) | (~v9(constB139)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25900,plain,
% 7.92/6.09 (v184(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25899, 25898, 25850])).
% 7.92/6.09 tff(25901,plain,
% 7.92/6.09 ((v184(constB139) | v26(constB139)) | (~v184(constB139))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25902,plain,
% 7.92/6.09 (v184(constB139) | v26(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25901, 25900])).
% 7.92/6.09 tff(25903,plain,
% 7.92/6.09 ((~(v183(constB139) <=> (v184(constB139) | v26(constB139)))) | v183(constB139) | (~(v184(constB139) | v26(constB139)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25904,plain,
% 7.92/6.09 (v183(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25903, 25902, 25848])).
% 7.92/6.09 tff(25905,plain,
% 7.92/6.09 ((~((~v182(constB139)) <=> v183(constB139))) | (~v182(constB139)) | (~v183(constB139))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25906,plain,
% 7.92/6.09 (~v182(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25905, 25904, 25846])).
% 7.92/6.09 tff(25907,plain,
% 7.92/6.09 (((~v157(constB139)) | (~v182(constB139))) | v182(constB139)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25908,plain,
% 7.92/6.09 ((~v157(constB139)) | (~v182(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25907, 25906])).
% 7.92/6.09 tff(25909,plain,
% 7.92/6.09 ((~(v181(constB139) <=> (~((~v157(constB139)) | (~v182(constB139)))))) | (~v181(constB139)) | (~((~v157(constB139)) | (~v182(constB139))))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25910,plain,
% 7.92/6.09 (~v181(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25909, 25908, 25844])).
% 7.92/6.09 tff(25911,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB139) <=> (~((~v186(constB139)) | (~v187(constB139)))))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25912,plain,
% 7.92/6.09 (v185(constB139) <=> (~((~v186(constB139)) | (~v187(constB139))))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25911, 96])).
% 7.92/6.09 tff(25913,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB139) <=> (~((~v184(constB139)) | (~v159(constB139)))))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25914,plain,
% 7.92/6.09 (v187(constB139) <=> (~((~v184(constB139)) | (~v159(constB139))))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25913, 108])).
% 7.92/6.09 tff(25915,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB139) <=> v161(constB139))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25916,plain,
% 7.92/6.09 (v159(constB139) <=> v161(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25915, 345])).
% 7.92/6.09 tff(25917,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB139) <=> (v145(constB139) | v165(constB139)))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25918,plain,
% 7.92/6.09 (v164(constB139) <=> (v145(constB139) | v165(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25917, 357])).
% 7.92/6.09 tff(25919,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB139) <=> (v142(constB139) | v166(constB139)))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25920,plain,
% 7.92/6.09 (v165(constB139) <=> (v142(constB139) | v166(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25919, 369])).
% 7.92/6.09 tff(25921,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB139) <=> (v141(constB139) | v167(constB139)))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25922,plain,
% 7.92/6.09 (v166(constB139) <=> (v141(constB139) | v167(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25921, 381])).
% 7.92/6.09 tff(25923,plain,
% 7.92/6.09 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0))))))),
% 7.92/6.09 inference(rewrite,[status(thm)],[])).
% 7.92/6.09 tff(25924,plain,
% 7.92/6.09 ((v141(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0))))) <=> (v141(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))))),
% 7.92/6.09 inference(rewrite,[status(thm)],[])).
% 7.92/6.09 tff(25925,plain,
% 7.92/6.09 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0))))))),
% 7.92/6.09 inference(monotonicity,[status(thm)],[25924])).
% 7.92/6.09 tff(25926,plain,
% 7.92/6.09 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0))))))),
% 7.92/6.09 inference(transitivity,[status(thm)],[25925, 25923])).
% 7.92/6.09 tff(25927,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB139) <=> (~(v88(constB139, bitIndex2) | (~v88(constB139, bitIndex1)) | (~v88(constB139, bitIndex0)))))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25928,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))))),
% 7.92/6.09 inference(modus_ponens,[status(thm)],[25927, 25926])).
% 7.92/6.09 tff(25929,plain,
% 7.92/6.09 (v141(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0))))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25928, 396])).
% 7.92/6.09 tff(25930,plain,
% 7.92/6.09 ((~![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))))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25931,plain,
% 7.92/6.09 (~(((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)) | ((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)) | ((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0)))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25930, 416])).
% 7.92/6.09 tff(25932,plain,
% 7.92/6.09 ((((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)) | ((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)) | ((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0))) | (~((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25933,plain,
% 7.92/6.09 (~((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25932, 25931])).
% 7.92/6.09 tff(25934,plain,
% 7.92/6.09 (((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)) | (~v88(constB139, bitIndex2)) | v90(constB139, bitIndex2)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25935,plain,
% 7.92/6.09 (~v88(constB139, bitIndex2)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25934, 17840, 25933])).
% 7.92/6.09 tff(25936,plain,
% 7.92/6.09 ((((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)) | ((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)) | ((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0))) | (~((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25937,plain,
% 7.92/6.09 (~((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25936, 25931])).
% 7.92/6.09 tff(25938,plain,
% 7.92/6.09 (((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0)) | v88(constB139, bitIndex0) | (~v90(constB139, bitIndex0))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25939,plain,
% 7.92/6.09 (v88(constB139, bitIndex0)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25938, 17858, 25937])).
% 7.92/6.09 tff(25940,plain,
% 7.92/6.09 ((((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)) | ((~v88(constB139, bitIndex2)) <=> v90(constB139, bitIndex2)) | ((~v88(constB139, bitIndex0)) <=> v90(constB139, bitIndex0))) | (~((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25941,plain,
% 7.92/6.09 (~((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25940, 25931])).
% 7.92/6.09 tff(25942,plain,
% 7.92/6.09 (((~v88(constB139, bitIndex1)) <=> v90(constB139, bitIndex1)) | v88(constB139, bitIndex1) | (~v90(constB139, bitIndex1))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25943,plain,
% 7.92/6.09 (v88(constB139, bitIndex1)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25942, 17876, 25941])).
% 7.92/6.09 tff(25944,plain,
% 7.92/6.09 ((~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))) | (~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25945,plain,
% 7.92/6.09 (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25944, 25943, 25939, 25935])).
% 7.92/6.09 tff(25946,plain,
% 7.92/6.09 ((~(v141(constB139) <=> (~((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))))) | v141(constB139) | ((~v88(constB139, bitIndex1)) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25947,plain,
% 7.92/6.09 (v141(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25946, 25945, 25929])).
% 7.92/6.09 tff(25948,plain,
% 7.92/6.09 ((v141(constB139) | v167(constB139)) | (~v141(constB139))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25949,plain,
% 7.92/6.09 (v141(constB139) | v167(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25948, 25947])).
% 7.92/6.09 tff(25950,plain,
% 7.92/6.09 ((~(v166(constB139) <=> (v141(constB139) | v167(constB139)))) | v166(constB139) | (~(v141(constB139) | v167(constB139)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25951,plain,
% 7.92/6.09 (v166(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25950, 25949, 25922])).
% 7.92/6.09 tff(25952,plain,
% 7.92/6.09 ((v142(constB139) | v166(constB139)) | (~v166(constB139))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25953,plain,
% 7.92/6.09 (v142(constB139) | v166(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25952, 25951])).
% 7.92/6.09 tff(25954,plain,
% 7.92/6.09 ((~(v165(constB139) <=> (v142(constB139) | v166(constB139)))) | v165(constB139) | (~(v142(constB139) | v166(constB139)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25955,plain,
% 7.92/6.09 ((~(v165(constB139) <=> (v142(constB139) | v166(constB139)))) | v165(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25954, 25953])).
% 7.92/6.09 tff(25956,plain,
% 7.92/6.09 (v165(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25955, 25920])).
% 7.92/6.09 tff(25957,plain,
% 7.92/6.09 ((v145(constB139) | v165(constB139)) | (~v165(constB139))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25958,plain,
% 7.92/6.09 (v145(constB139) | v165(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25957, 25956])).
% 7.92/6.09 tff(25959,plain,
% 7.92/6.09 ((~(v164(constB139) <=> (v145(constB139) | v165(constB139)))) | v164(constB139) | (~(v145(constB139) | v165(constB139)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25960,plain,
% 7.92/6.09 (v164(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25959, 25958, 25918])).
% 7.92/6.09 tff(25961,plain,
% 7.92/6.09 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB139)) | (v161(constB139) <=> v168(constB139)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB139)) | (v161(constB139) <=> v168(constB139)))),
% 7.92/6.09 inference(rewrite,[status(thm)],[])).
% 7.92/6.09 tff(25962,plain,
% 7.92/6.09 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB139)) | (v161(constB139) <=> v168(constB139)))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25963,plain,
% 7.92/6.09 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB139)) | (v161(constB139) <=> v168(constB139))),
% 7.92/6.09 inference(modus_ponens,[status(thm)],[25962, 25961])).
% 7.92/6.09 tff(25964,plain,
% 7.92/6.09 ((~v164(constB139)) | (v161(constB139) <=> v168(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25963, 12128])).
% 7.92/6.09 tff(25965,plain,
% 7.92/6.09 (v161(constB139) <=> v168(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25964, 25960])).
% 7.92/6.09 tff(25966,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2))))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25967,plain,
% 7.92/6.09 (v139(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2)))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25966, 12146])).
% 7.92/6.09 tff(25968,plain,
% 7.92/6.09 ((v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2)) | (~v88(constB139, bitIndex0))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25969,plain,
% 7.92/6.09 (v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25968, 25939])).
% 7.92/6.09 tff(25970,plain,
% 7.92/6.09 ((~(v139(constB139) <=> (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2))))) | (~v139(constB139)) | (~(v88(constB139, bitIndex0) | v88(constB139, bitIndex1) | v88(constB139, bitIndex2)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25971,plain,
% 7.92/6.09 (~v139(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25970, 25969, 25967])).
% 7.92/6.09 tff(25972,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB139) <=> (~(v88(constB139, bitIndex1) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25973,plain,
% 7.92/6.09 (v140(constB139) <=> (~(v88(constB139, bitIndex1) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0))))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25972, 12165])).
% 7.92/6.09 tff(25974,plain,
% 7.92/6.09 ((v88(constB139, bitIndex1) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0))) | (~v88(constB139, bitIndex1))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25975,plain,
% 7.92/6.09 (v88(constB139, bitIndex1) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25974, 25943])).
% 7.92/6.09 tff(25976,plain,
% 7.92/6.09 ((~(v140(constB139) <=> (~(v88(constB139, bitIndex1) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0)))))) | (~v140(constB139)) | (~(v88(constB139, bitIndex1) | v88(constB139, bitIndex2) | (~v88(constB139, bitIndex0))))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25977,plain,
% 7.92/6.09 (~v140(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25976, 25975, 25973])).
% 7.92/6.09 tff(25978,plain,
% 7.92/6.09 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v168(constB139)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB139) | v140(constB139) | (~v168(constB139)))),
% 7.92/6.09 inference(rewrite,[status(thm)],[])).
% 7.92/6.09 tff(25979,plain,
% 7.92/6.09 ((v140(constB139) | v139(constB139) | (~v168(constB139))) <=> (v139(constB139) | v140(constB139) | (~v168(constB139)))),
% 7.92/6.09 inference(rewrite,[status(thm)],[])).
% 7.92/6.09 tff(25980,plain,
% 7.92/6.09 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB139) | v139(constB139) | (~v168(constB139)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB139) | v140(constB139) | (~v168(constB139))))),
% 7.92/6.09 inference(monotonicity,[status(thm)],[25979])).
% 7.92/6.09 tff(25981,plain,
% 7.92/6.09 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB139) | v139(constB139) | (~v168(constB139)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB139) | v140(constB139) | (~v168(constB139)))),
% 7.92/6.09 inference(transitivity,[status(thm)],[25980, 25978])).
% 7.92/6.09 tff(25982,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB139) | v139(constB139) | (~v168(constB139)))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(25983,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB139) | v140(constB139) | (~v168(constB139))),
% 7.92/6.09 inference(modus_ponens,[status(thm)],[25982, 25981])).
% 7.92/6.09 tff(25984,plain,
% 7.92/6.09 (v139(constB139) | v140(constB139) | (~v168(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25983, 12184])).
% 7.92/6.09 tff(25985,plain,
% 7.92/6.09 (~v168(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25984, 25977, 25971])).
% 7.92/6.09 tff(25986,plain,
% 7.92/6.09 ((~(v161(constB139) <=> v168(constB139))) | (~v161(constB139)) | v168(constB139)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25987,plain,
% 7.92/6.09 ((~(v161(constB139) <=> v168(constB139))) | (~v161(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25986, 25985])).
% 7.92/6.09 tff(25988,plain,
% 7.92/6.09 (~v161(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25987, 25965])).
% 7.92/6.09 tff(25989,plain,
% 7.92/6.09 ((~(v159(constB139) <=> v161(constB139))) | (~v159(constB139)) | v161(constB139)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25990,plain,
% 7.92/6.09 ((~(v159(constB139) <=> v161(constB139))) | (~v159(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25989, 25988])).
% 7.92/6.09 tff(25991,plain,
% 7.92/6.09 (~v159(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25990, 25916])).
% 7.92/6.09 tff(25992,plain,
% 7.92/6.09 (((~v184(constB139)) | (~v159(constB139))) | v159(constB139)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25993,plain,
% 7.92/6.09 ((~v184(constB139)) | (~v159(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25992, 25991])).
% 7.92/6.09 tff(25994,plain,
% 7.92/6.09 ((~(v187(constB139) <=> (~((~v184(constB139)) | (~v159(constB139)))))) | (~v187(constB139)) | (~((~v184(constB139)) | (~v159(constB139))))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25995,plain,
% 7.92/6.09 (~v187(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25994, 25993, 25914])).
% 7.92/6.09 tff(25996,plain,
% 7.92/6.09 (((~v186(constB139)) | (~v187(constB139))) | v187(constB139)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25997,plain,
% 7.92/6.09 ((~v186(constB139)) | (~v187(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25996, 25995])).
% 7.92/6.09 tff(25998,plain,
% 7.92/6.09 ((~(v185(constB139) <=> (~((~v186(constB139)) | (~v187(constB139)))))) | (~v185(constB139)) | (~((~v186(constB139)) | (~v187(constB139))))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(25999,plain,
% 7.92/6.09 (~v185(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[25998, 25997, 25912])).
% 7.92/6.09 tff(26000,plain,
% 7.92/6.09 ((~(v181(constB139) | v185(constB139))) | v181(constB139) | v185(constB139)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26001,plain,
% 7.92/6.09 (~(v181(constB139) | v185(constB139))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26000, 25999, 25910])).
% 7.92/6.09 tff(26002,plain,
% 7.92/6.09 ((~(v178(constB139) <=> (v181(constB139) | v185(constB139)))) | (~v178(constB139)) | (v181(constB139) | v185(constB139))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26003,plain,
% 7.92/6.09 (~v178(constB139)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26002, 26001, 25837])).
% 7.92/6.09 tff(26004,plain,
% 7.92/6.09 ((~(v180(constB140) <=> v178(constB139))) | (~v180(constB140)) | v178(constB139)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26005,plain,
% 7.92/6.09 (~v180(constB140)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26004, 26003, 25835])).
% 7.92/6.09 tff(26006,plain,
% 7.92/6.09 ((~(v157(constB140) <=> v180(constB140))) | (~v157(constB140)) | v180(constB140)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26007,plain,
% 7.92/6.09 (~v157(constB140)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26006, 26005, 25831])).
% 7.92/6.09 tff(26008,plain,
% 7.92/6.09 (((~v157(constB140)) | (~v182(constB140))) | v157(constB140)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26009,plain,
% 7.92/6.09 ((~v157(constB140)) | (~v182(constB140))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26008, 26007])).
% 7.92/6.09 tff(26010,plain,
% 7.92/6.09 ((~(v181(constB140) <=> (~((~v157(constB140)) | (~v182(constB140)))))) | (~v181(constB140)) | (~((~v157(constB140)) | (~v182(constB140))))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26011,plain,
% 7.92/6.09 (~v181(constB140)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26010, 26009, 25829])).
% 7.92/6.09 tff(26012,plain,
% 7.92/6.09 ((~(v181(constB140) | v185(constB140))) | v181(constB140) | v185(constB140)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26013,plain,
% 7.92/6.09 (~(v181(constB140) | v185(constB140))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26012, 26011, 25822])).
% 7.92/6.09 tff(26014,plain,
% 7.92/6.09 ((~(v178(constB140) <=> (v181(constB140) | v185(constB140)))) | (~v178(constB140)) | (v181(constB140) | v185(constB140))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26015,plain,
% 7.92/6.09 (~v178(constB140)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26014, 26013, 25797])).
% 7.92/6.09 tff(26016,plain,
% 7.92/6.09 ((~(v180(constB141) <=> v178(constB140))) | (~v180(constB141)) | v178(constB140)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26017,plain,
% 7.92/6.09 (~v180(constB141)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26016, 26015, 25795])).
% 7.92/6.09 tff(26018,plain,
% 7.92/6.09 ($false),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26017, 25791])).
% 7.92/6.09 tff(26019,plain,(~(constB141 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.92/6.09 tff(26020,assumption,(constB101 = VarCurr!0), introduced(assumption)).
% 7.92/6.09 tff(26021,plain,
% 7.92/6.09 (v86(constB101) <=> v86(VarCurr!0)),
% 7.92/6.09 inference(monotonicity,[status(thm)],[26020])).
% 7.92/6.09 tff(26022,plain,
% 7.92/6.09 (v86(VarCurr!0) <=> v86(constB101)),
% 7.92/6.09 inference(symmetry,[status(thm)],[26021])).
% 7.92/6.09 tff(26023,plain,
% 7.92/6.09 ((~v86(VarCurr!0)) <=> (~v86(constB101))),
% 7.92/6.09 inference(monotonicity,[status(thm)],[26022])).
% 7.92/6.09 tff(26024,plain,
% 7.92/6.09 (~v86(constB101)),
% 7.92/6.09 inference(modus_ponens,[status(thm)],[21766, 26023])).
% 7.92/6.09 tff(26025,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB101) <=> (v136(constB101) | v145(constB101)))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(26026,plain,
% 7.92/6.09 (v135(constB101) <=> (v136(constB101) | v145(constB101))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26025, 21774])).
% 7.92/6.09 tff(26027,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB101) <=> (v137(constB101) | v142(constB101)))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(26028,plain,
% 7.92/6.09 (v136(constB101) <=> (v137(constB101) | v142(constB101))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26027, 21783])).
% 7.92/6.09 tff(26029,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB101) <=> (v143(constB101) | v144(constB101)))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(26030,plain,
% 7.92/6.09 (v142(constB101) <=> (v143(constB101) | v144(constB101))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26029, 21792])).
% 7.92/6.09 tff(26031,plain,
% 7.92/6.09 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0)))))),
% 7.92/6.09 inference(rewrite,[status(thm)],[])).
% 7.92/6.09 tff(26032,plain,
% 7.92/6.09 ((v143(constB101) <=> (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1))))) <=> (v143(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0))))),
% 7.92/6.09 inference(rewrite,[status(thm)],[])).
% 7.92/6.09 tff(26033,plain,
% 7.92/6.09 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0)))))),
% 7.92/6.09 inference(monotonicity,[status(thm)],[26032])).
% 7.92/6.09 tff(26034,plain,
% 7.92/6.09 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0)))))),
% 7.92/6.09 inference(transitivity,[status(thm)],[26033, 26031])).
% 7.92/6.09 tff(26035,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex1)))))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(26036,plain,
% 7.92/6.09 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0))))),
% 7.92/6.09 inference(modus_ponens,[status(thm)],[26035, 26034])).
% 7.92/6.09 tff(26037,plain,
% 7.92/6.09 (v143(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0)))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26036, 23745])).
% 7.92/6.09 tff(26038,plain,
% 7.92/6.09 ((~![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))))),
% 7.92/6.09 inference(quant_inst,[status(thm)],[])).
% 7.92/6.09 tff(26039,plain,
% 7.92/6.09 (~(((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)) | ((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)) | ((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0)))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26038, 416])).
% 7.92/6.09 tff(26040,plain,
% 7.92/6.09 ((((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)) | ((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)) | ((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0))) | (~((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26041,plain,
% 7.92/6.09 (~((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26040, 26039])).
% 7.92/6.09 tff(26042,plain,
% 7.92/6.09 (((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)) | (~v88(constB101, bitIndex2)) | v90(constB101, bitIndex2)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26043,plain,
% 7.92/6.09 (~v88(constB101, bitIndex2)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26042, 11897, 26041])).
% 7.92/6.09 tff(26044,plain,
% 7.92/6.09 ((((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)) | ((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)) | ((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0))) | (~((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26045,plain,
% 7.92/6.09 (~((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26044, 26039])).
% 7.92/6.09 tff(26046,plain,
% 7.92/6.09 (((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0)) | (~v88(constB101, bitIndex0)) | v90(constB101, bitIndex0)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26047,plain,
% 7.92/6.09 (~v88(constB101, bitIndex0)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26046, 11915, 26045])).
% 7.92/6.09 tff(26048,plain,
% 7.92/6.09 ((((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)) | ((~v88(constB101, bitIndex2)) <=> v90(constB101, bitIndex2)) | ((~v88(constB101, bitIndex0)) <=> v90(constB101, bitIndex0))) | (~((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26049,plain,
% 7.92/6.09 (~((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26048, 26039])).
% 7.92/6.09 tff(26050,plain,
% 7.92/6.09 (((~v88(constB101, bitIndex1)) <=> v90(constB101, bitIndex1)) | v88(constB101, bitIndex1) | (~v90(constB101, bitIndex1))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26051,plain,
% 7.92/6.09 (v88(constB101, bitIndex1)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26050, 11933, 26049])).
% 7.92/6.09 tff(26052,plain,
% 7.92/6.09 ((~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0))) | (~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0)),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26053,plain,
% 7.92/6.09 (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0))),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26052, 26051, 26047, 26043])).
% 7.92/6.09 tff(26054,plain,
% 7.92/6.09 ((~(v143(constB101) <=> (~((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0))))) | v143(constB101) | ((~v88(constB101, bitIndex1)) | v88(constB101, bitIndex2) | v88(constB101, bitIndex0))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26055,plain,
% 7.92/6.09 (v143(constB101)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26054, 26053, 26037])).
% 7.92/6.09 tff(26056,plain,
% 7.92/6.09 ((v143(constB101) | v144(constB101)) | (~v143(constB101))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26057,plain,
% 7.92/6.09 (v143(constB101) | v144(constB101)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26056, 26055])).
% 7.92/6.09 tff(26058,plain,
% 7.92/6.09 ((~(v142(constB101) <=> (v143(constB101) | v144(constB101)))) | v142(constB101) | (~(v143(constB101) | v144(constB101)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26059,plain,
% 7.92/6.09 (v142(constB101)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26058, 26057, 26030])).
% 7.92/6.09 tff(26060,plain,
% 7.92/6.09 ((v137(constB101) | v142(constB101)) | (~v142(constB101))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26061,plain,
% 7.92/6.09 (v137(constB101) | v142(constB101)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26060, 26059])).
% 7.92/6.09 tff(26062,plain,
% 7.92/6.09 ((~(v136(constB101) <=> (v137(constB101) | v142(constB101)))) | v136(constB101) | (~(v137(constB101) | v142(constB101)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26063,plain,
% 7.92/6.09 ((~(v136(constB101) <=> (v137(constB101) | v142(constB101)))) | v136(constB101)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26062, 26061])).
% 7.92/6.09 tff(26064,plain,
% 7.92/6.09 (v136(constB101)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26063, 26028])).
% 7.92/6.09 tff(26065,plain,
% 7.92/6.09 ((v136(constB101) | v145(constB101)) | (~v136(constB101))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26066,plain,
% 7.92/6.09 (v136(constB101) | v145(constB101)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26065, 26064])).
% 7.92/6.09 tff(26067,plain,
% 7.92/6.09 ((~(v135(constB101) <=> (v136(constB101) | v145(constB101)))) | v135(constB101) | (~(v136(constB101) | v145(constB101)))),
% 7.92/6.09 inference(tautology,[status(thm)],[])).
% 7.92/6.09 tff(26068,plain,
% 7.92/6.09 (v135(constB101)),
% 7.92/6.09 inference(unit_resolution,[status(thm)],[26067, 26066, 26026])).
% 7.92/6.09 tff(26069,plain,
% 7.92/6.09 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB101)) | (v86(constB101) <=> v148(constB101)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB101)) | (v86(constB101) <=> v148(constB101)))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26070,plain,
% 7.92/6.10 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB101)) | (v86(constB101) <=> v148(constB101)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26071,plain,
% 7.92/6.10 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB101)) | (v86(constB101) <=> v148(constB101))),
% 7.92/6.10 inference(modus_ponens,[status(thm)],[26070, 26069])).
% 7.92/6.10 tff(26072,plain,
% 7.92/6.10 (v86(constB101) <=> v148(constB101)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26071, 21855, 26068])).
% 7.92/6.10 tff(26073,plain,
% 7.92/6.10 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB101) | (~v142(constB101)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB101) | (~v142(constB101)))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26074,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB101) | (~v142(constB101)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26075,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB101) | (~v142(constB101))),
% 7.92/6.10 inference(modus_ponens,[status(thm)],[26074, 26073])).
% 7.92/6.10 tff(26076,plain,
% 7.92/6.10 (v148(constB101)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26075, 21869, 26059])).
% 7.92/6.10 tff(26077,plain,
% 7.92/6.10 ((~(v86(constB101) <=> v148(constB101))) | v86(constB101) | (~v148(constB101))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26078,plain,
% 7.92/6.10 ((~(v86(constB101) <=> v148(constB101))) | v86(constB101)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26077, 26076])).
% 7.92/6.10 tff(26079,plain,
% 7.92/6.10 (v86(constB101)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26078, 26072])).
% 7.92/6.10 tff(26080,plain,
% 7.92/6.10 ($false),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26079, 26024])).
% 7.92/6.10 tff(26081,plain,(~(constB101 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.92/6.10 tff(26082,assumption,(constB95 = VarCurr!0), introduced(assumption)).
% 7.92/6.10 tff(26083,plain,
% 7.92/6.10 (v180(constB95) <=> v180(VarCurr!0)),
% 7.92/6.10 inference(monotonicity,[status(thm)],[26082])).
% 7.92/6.10 tff(26084,plain,
% 7.92/6.10 (v180(VarCurr!0) <=> v180(constB95)),
% 7.92/6.10 inference(symmetry,[status(thm)],[26083])).
% 7.92/6.10 tff(26085,plain,
% 7.92/6.10 (v180(constB95)),
% 7.92/6.10 inference(modus_ponens,[status(thm)],[59, 26084])).
% 7.92/6.10 tff(26086,plain,
% 7.92/6.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB94, constB95)) | (v180(constB95) <=> v178(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB94, constB95)) | (v180(constB95) <=> v178(constB94)))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26087,plain,
% 7.92/6.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB94, constB95)) | (v180(constB95) <=> v178(constB94)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26088,plain,
% 7.92/6.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB94, constB95)) | (v180(constB95) <=> v178(constB94))),
% 7.92/6.10 inference(modus_ponens,[status(thm)],[26087, 26086])).
% 7.92/6.10 tff(26089,plain,
% 7.92/6.10 (v180(constB95) <=> v178(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26088, 811, 70])).
% 7.92/6.10 tff(26090,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB94) <=> (v181(constB94) | v185(constB94)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26091,plain,
% 7.92/6.10 (v178(constB94) <=> (v181(constB94) | v185(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26090, 84])).
% 7.92/6.10 tff(26092,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB94) <=> (~((~v186(constB94)) | (~v187(constB94)))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26093,plain,
% 7.92/6.10 (v185(constB94) <=> (~((~v186(constB94)) | (~v187(constB94))))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26092, 96])).
% 7.92/6.10 tff(26094,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB94) <=> (~((~v184(constB94)) | (~v159(constB94)))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26095,plain,
% 7.92/6.10 (v187(constB94) <=> (~((~v184(constB94)) | (~v159(constB94))))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26094, 108])).
% 7.92/6.10 tff(26096,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26097,plain,
% 7.92/6.10 (v184(constB94) <=> (~((~v39(constB94)) | (~v9(constB94))))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26096, 120])).
% 7.92/6.10 tff(26098,plain,
% 7.92/6.10 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB94)) <=> v1(constB94))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26099,plain,
% 7.92/6.10 ((~v39(constB94)) <=> v1(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26098, 129])).
% 7.92/6.10 tff(26100,plain,
% 7.92/6.10 ((~((~v39(constB94)) <=> v1(constB94))) | (~v39(constB94)) | (~v1(constB94))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26101,plain,
% 7.92/6.10 ((~((~v39(constB94)) <=> v1(constB94))) | (~v39(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26100, 11344])).
% 7.92/6.10 tff(26102,plain,
% 7.92/6.10 (~v39(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26101, 26099])).
% 7.92/6.10 tff(26103,plain,
% 7.92/6.10 (((~v39(constB94)) | (~v9(constB94))) | v39(constB94)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26104,plain,
% 7.92/6.10 ((~v39(constB94)) | (~v9(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26103, 26102])).
% 7.92/6.10 tff(26105,plain,
% 7.92/6.10 ((~(v184(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))) | (~v184(constB94)) | (~((~v39(constB94)) | (~v9(constB94))))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26106,plain,
% 7.92/6.10 ((~(v184(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))) | (~v184(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26105, 26104])).
% 7.92/6.10 tff(26107,plain,
% 7.92/6.10 (~v184(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26106, 26097])).
% 7.92/6.10 tff(26108,plain,
% 7.92/6.10 (((~v184(constB94)) | (~v159(constB94))) | v184(constB94)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26109,plain,
% 7.92/6.10 ((~v184(constB94)) | (~v159(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26108, 26107])).
% 7.92/6.10 tff(26110,plain,
% 7.92/6.10 ((~(v187(constB94) <=> (~((~v184(constB94)) | (~v159(constB94)))))) | (~v187(constB94)) | (~((~v184(constB94)) | (~v159(constB94))))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26111,plain,
% 7.92/6.10 ((~(v187(constB94) <=> (~((~v184(constB94)) | (~v159(constB94)))))) | (~v187(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26110, 26109])).
% 7.92/6.10 tff(26112,plain,
% 7.92/6.10 (~v187(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26111, 26095])).
% 7.92/6.10 tff(26113,plain,
% 7.92/6.10 (((~v186(constB94)) | (~v187(constB94))) | v187(constB94)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26114,plain,
% 7.92/6.10 ((~v186(constB94)) | (~v187(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26113, 26112])).
% 7.92/6.10 tff(26115,plain,
% 7.92/6.10 ((~(v185(constB94) <=> (~((~v186(constB94)) | (~v187(constB94)))))) | (~v185(constB94)) | (~((~v186(constB94)) | (~v187(constB94))))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26116,plain,
% 7.92/6.10 (~v185(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26115, 26114, 26093])).
% 7.92/6.10 tff(26117,plain,
% 7.92/6.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94))))))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26118,plain,
% 7.92/6.10 ((v181(constB94) <=> (~((~v182(constB94)) | (~v157(constB94))))) <=> (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94)))))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26119,plain,
% 7.92/6.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v182(constB94)) | (~v157(constB94)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94))))))),
% 7.92/6.10 inference(monotonicity,[status(thm)],[26118])).
% 7.92/6.10 tff(26120,plain,
% 7.92/6.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v182(constB94)) | (~v157(constB94)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94))))))),
% 7.92/6.10 inference(transitivity,[status(thm)],[26119, 26117])).
% 7.92/6.10 tff(26121,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v182(constB94)) | (~v157(constB94)))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26122,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94)))))),
% 7.92/6.10 inference(modus_ponens,[status(thm)],[26121, 26120])).
% 7.92/6.10 tff(26123,plain,
% 7.92/6.10 (v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94))))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26122, 161])).
% 7.92/6.10 tff(26124,plain,
% 7.92/6.10 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB94) <=> v180(constB94))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26125,plain,
% 7.92/6.10 (v157(constB94) <=> v180(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26124, 13])).
% 7.92/6.10 tff(26126,plain,
% 7.92/6.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB93, constB94)) | (v180(constB94) <=> v178(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB93, constB94)) | (v180(constB94) <=> v178(constB93)))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26127,plain,
% 7.92/6.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB93, constB94)) | (v180(constB94) <=> v178(constB93)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26128,plain,
% 7.92/6.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB93, constB94)) | (v180(constB94) <=> v178(constB93))),
% 7.92/6.10 inference(modus_ponens,[status(thm)],[26127, 26126])).
% 7.92/6.10 tff(26129,plain,
% 7.92/6.10 (v180(constB94) <=> v178(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26128, 847, 70])).
% 7.92/6.10 tff(26130,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB93) <=> (v181(constB93) | v185(constB93)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26131,plain,
% 7.92/6.10 (v178(constB93) <=> (v181(constB93) | v185(constB93))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26130, 84])).
% 7.92/6.10 tff(26132,plain,
% 7.92/6.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93))))))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26133,plain,
% 7.92/6.10 ((v181(constB93) <=> (~((~v182(constB93)) | (~v157(constB93))))) <=> (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93)))))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26134,plain,
% 7.92/6.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v182(constB93)) | (~v157(constB93)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93))))))),
% 7.92/6.10 inference(monotonicity,[status(thm)],[26133])).
% 7.92/6.10 tff(26135,plain,
% 7.92/6.10 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v182(constB93)) | (~v157(constB93)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93))))))),
% 7.92/6.10 inference(transitivity,[status(thm)],[26134, 26132])).
% 7.92/6.10 tff(26136,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v182(constB93)) | (~v157(constB93)))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26137,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93)))))),
% 7.92/6.10 inference(modus_ponens,[status(thm)],[26136, 26135])).
% 7.92/6.10 tff(26138,plain,
% 7.92/6.10 (v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93))))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26137, 161])).
% 7.92/6.10 tff(26139,plain,
% 7.92/6.10 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB93)) <=> v183(constB93))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26140,plain,
% 7.92/6.10 ((~v182(constB93)) <=> v183(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26139, 193])).
% 7.92/6.10 tff(26141,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB93) <=> (v184(constB93) | v26(constB93)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26142,plain,
% 7.92/6.10 (v183(constB93) <=> (v184(constB93) | v26(constB93))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26141, 202])).
% 7.92/6.10 tff(26143,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB93) <=> (~((~v39(constB93)) | (~v9(constB93)))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26144,plain,
% 7.92/6.10 (v184(constB93) <=> (~((~v39(constB93)) | (~v9(constB93))))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26143, 120])).
% 7.92/6.10 tff(26145,plain,
% 7.92/6.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93)))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26146,plain,
% 7.92/6.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26147,plain,
% 7.92/6.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93))),
% 7.92/6.10 inference(modus_ponens,[status(thm)],[26146, 26145])).
% 7.92/6.10 tff(26148,plain,
% 7.92/6.10 (v13(constB94) <=> v9(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26147, 847, 216])).
% 7.92/6.10 tff(26149,plain,
% 7.92/6.10 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB94) <=> v13(constB94))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26150,plain,
% 7.92/6.10 (v6(constB94) <=> v13(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26149, 230])).
% 7.92/6.10 tff(26151,plain,
% 7.92/6.10 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB94)) <=> v6(constB94))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26152,plain,
% 7.92/6.10 ((~v21(constB94)) <=> v6(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26151, 239])).
% 7.92/6.10 tff(26153,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB94) <=> (v20(constB94) | v21(constB94)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26154,plain,
% 7.92/6.10 (v19(constB94) <=> (v20(constB94) | v21(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26153, 248])).
% 7.92/6.10 tff(26155,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94)))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26156,plain,
% 7.92/6.10 (v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94))))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26155, 260])).
% 7.92/6.10 tff(26157,plain,
% 7.92/6.10 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB94)) <=> v18(constB94))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26158,plain,
% 7.92/6.10 ((~v4(constB94)) <=> v18(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26157, 269])).
% 7.92/6.10 tff(26159,plain,
% 7.92/6.10 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB94)),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26160,plain,
% 7.92/6.10 (v4(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26159, 278])).
% 7.92/6.10 tff(26161,plain,
% 7.92/6.10 ((~((~v4(constB94)) <=> v18(constB94))) | (~v4(constB94)) | (~v18(constB94))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26162,plain,
% 7.92/6.10 (~v18(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26161, 26160, 26158])).
% 7.92/6.10 tff(26163,plain,
% 7.92/6.10 ((~(v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94)))))) | v18(constB94) | ((~v19(constB94)) | (~v22(constB94)))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26164,plain,
% 7.92/6.10 ((~v19(constB94)) | (~v22(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26163, 26162, 26156])).
% 7.92/6.10 tff(26165,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB94) <=> (v1(constB94) | v6(constB94)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26166,plain,
% 7.92/6.10 (v22(constB94) <=> (v1(constB94) | v6(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26165, 291])).
% 7.92/6.10 tff(26167,plain,
% 7.92/6.10 ((v1(constB94) | v6(constB94)) | (~v1(constB94))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26168,plain,
% 7.92/6.10 (v1(constB94) | v6(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26167, 11344])).
% 7.92/6.10 tff(26169,plain,
% 7.92/6.10 ((~(v22(constB94) <=> (v1(constB94) | v6(constB94)))) | v22(constB94) | (~(v1(constB94) | v6(constB94)))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26170,plain,
% 7.92/6.10 ((~(v22(constB94) <=> (v1(constB94) | v6(constB94)))) | v22(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26169, 26168])).
% 7.92/6.10 tff(26171,plain,
% 7.92/6.10 (v22(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26170, 26166])).
% 7.92/6.10 tff(26172,plain,
% 7.92/6.10 ((~((~v19(constB94)) | (~v22(constB94)))) | (~v19(constB94)) | (~v22(constB94))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26173,plain,
% 7.92/6.10 ((~((~v19(constB94)) | (~v22(constB94)))) | (~v19(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26172, 26171])).
% 7.92/6.10 tff(26174,plain,
% 7.92/6.10 (~v19(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26173, 26164])).
% 7.92/6.10 tff(26175,plain,
% 7.92/6.10 ((~(v19(constB94) <=> (v20(constB94) | v21(constB94)))) | v19(constB94) | (~(v20(constB94) | v21(constB94)))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26176,plain,
% 7.92/6.10 (~(v20(constB94) | v21(constB94))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26175, 26174, 26154])).
% 7.92/6.10 tff(26177,plain,
% 7.92/6.10 ((v20(constB94) | v21(constB94)) | (~v21(constB94))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26178,plain,
% 7.92/6.10 (~v21(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26177, 26176])).
% 7.92/6.10 tff(26179,plain,
% 7.92/6.10 ((~((~v21(constB94)) <=> v6(constB94))) | v21(constB94) | v6(constB94)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26180,plain,
% 7.92/6.10 (v6(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26179, 26178, 26152])).
% 7.92/6.10 tff(26181,plain,
% 7.92/6.10 ((~(v6(constB94) <=> v13(constB94))) | (~v6(constB94)) | v13(constB94)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26182,plain,
% 7.92/6.10 (v13(constB94)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26181, 26180, 26150])).
% 7.92/6.10 tff(26183,plain,
% 7.92/6.10 ((~(v13(constB94) <=> v9(constB93))) | (~v13(constB94)) | v9(constB93)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26184,plain,
% 7.92/6.10 (v9(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26183, 26182, 26148])).
% 7.92/6.10 tff(26185,plain,
% 7.92/6.10 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB93)) <=> v1(constB93))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26186,plain,
% 7.92/6.10 ((~v39(constB93)) <=> v1(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26185, 129])).
% 7.92/6.10 tff(26187,plain,
% 7.92/6.10 ((~((~v39(constB93)) <=> v1(constB93))) | v39(constB93) | v1(constB93)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26188,plain,
% 7.92/6.10 ((~((~v39(constB93)) <=> v1(constB93))) | v39(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26187, 904])).
% 7.92/6.10 tff(26189,plain,
% 7.92/6.10 (v39(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26188, 26186])).
% 7.92/6.10 tff(26190,plain,
% 7.92/6.10 ((~((~v39(constB93)) | (~v9(constB93)))) | (~v39(constB93)) | (~v9(constB93))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26191,plain,
% 7.92/6.10 ((~((~v39(constB93)) | (~v9(constB93)))) | (~v9(constB93))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26190, 26189])).
% 7.92/6.10 tff(26192,plain,
% 7.92/6.10 (~((~v39(constB93)) | (~v9(constB93)))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26191, 26184])).
% 7.92/6.10 tff(26193,plain,
% 7.92/6.10 ((~(v184(constB93) <=> (~((~v39(constB93)) | (~v9(constB93)))))) | v184(constB93) | ((~v39(constB93)) | (~v9(constB93)))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26194,plain,
% 7.92/6.10 (v184(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26193, 26192, 26144])).
% 7.92/6.10 tff(26195,plain,
% 7.92/6.10 ((v184(constB93) | v26(constB93)) | (~v184(constB93))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26196,plain,
% 7.92/6.10 (v184(constB93) | v26(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26195, 26194])).
% 7.92/6.10 tff(26197,plain,
% 7.92/6.10 ((~(v183(constB93) <=> (v184(constB93) | v26(constB93)))) | v183(constB93) | (~(v184(constB93) | v26(constB93)))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26198,plain,
% 7.92/6.10 (v183(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26197, 26196, 26142])).
% 7.92/6.10 tff(26199,plain,
% 7.92/6.10 ((~((~v182(constB93)) <=> v183(constB93))) | (~v182(constB93)) | (~v183(constB93))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26200,plain,
% 7.92/6.10 (~v182(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26199, 26198, 26140])).
% 7.92/6.10 tff(26201,plain,
% 7.92/6.10 (((~v157(constB93)) | (~v182(constB93))) | v182(constB93)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26202,plain,
% 7.92/6.10 ((~v157(constB93)) | (~v182(constB93))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26201, 26200])).
% 7.92/6.10 tff(26203,plain,
% 7.92/6.10 ((~(v181(constB93) <=> (~((~v157(constB93)) | (~v182(constB93)))))) | (~v181(constB93)) | (~((~v157(constB93)) | (~v182(constB93))))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26204,plain,
% 7.92/6.10 (~v181(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26203, 26202, 26138])).
% 7.92/6.10 tff(26205,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB93) <=> (~((~v186(constB93)) | (~v187(constB93)))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26206,plain,
% 7.92/6.10 (v185(constB93) <=> (~((~v186(constB93)) | (~v187(constB93))))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26205, 96])).
% 7.92/6.10 tff(26207,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB93) <=> (~((~v184(constB93)) | (~v159(constB93)))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26208,plain,
% 7.92/6.10 (v187(constB93) <=> (~((~v184(constB93)) | (~v159(constB93))))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26207, 108])).
% 7.92/6.10 tff(26209,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB93) <=> v161(constB93))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26210,plain,
% 7.92/6.10 (v159(constB93) <=> v161(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26209, 345])).
% 7.92/6.10 tff(26211,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB93) <=> (v145(constB93) | v165(constB93)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26212,plain,
% 7.92/6.10 (v164(constB93) <=> (v145(constB93) | v165(constB93))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26211, 357])).
% 7.92/6.10 tff(26213,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB93) <=> (v146(constB93) | v147(constB93)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26214,plain,
% 7.92/6.10 (v145(constB93) <=> (v146(constB93) | v147(constB93))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26213, 24729])).
% 7.92/6.10 tff(26215,plain,
% 7.92/6.10 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~(v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~(v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0)))))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26216,plain,
% 7.92/6.10 ((v146(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2))))) <=> (v146(constB93) <=> (~(v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0))))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26217,plain,
% 7.92/6.10 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~(v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0)))))),
% 7.92/6.10 inference(monotonicity,[status(thm)],[26216])).
% 7.92/6.10 tff(26218,plain,
% 7.92/6.10 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~(v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0)))))),
% 7.92/6.10 inference(transitivity,[status(thm)],[26217, 26215])).
% 7.92/6.10 tff(26219,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26220,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB93) <=> (~(v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0))))),
% 7.92/6.10 inference(modus_ponens,[status(thm)],[26219, 26218])).
% 7.92/6.10 tff(26221,plain,
% 7.92/6.10 (v146(constB93) <=> (~(v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0)))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26220, 24744])).
% 7.92/6.10 tff(26222,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB93, bitIndex1)) <=> v90(constB93, bitIndex1)) | ((~v88(constB93, bitIndex2)) <=> v90(constB93, bitIndex2)) | ((~v88(constB93, bitIndex0)) <=> v90(constB93, bitIndex0))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26223,plain,
% 7.92/6.10 (~(((~v88(constB93, bitIndex1)) <=> v90(constB93, bitIndex1)) | ((~v88(constB93, bitIndex2)) <=> v90(constB93, bitIndex2)) | ((~v88(constB93, bitIndex0)) <=> v90(constB93, bitIndex0)))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26222, 416])).
% 7.92/6.10 tff(26224,plain,
% 7.92/6.10 ((((~v88(constB93, bitIndex1)) <=> v90(constB93, bitIndex1)) | ((~v88(constB93, bitIndex2)) <=> v90(constB93, bitIndex2)) | ((~v88(constB93, bitIndex0)) <=> v90(constB93, bitIndex0))) | (~((~v88(constB93, bitIndex2)) <=> v90(constB93, bitIndex2)))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26225,plain,
% 7.92/6.10 (~((~v88(constB93, bitIndex2)) <=> v90(constB93, bitIndex2))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26224, 26223])).
% 7.92/6.10 tff(26226,plain,
% 7.92/6.10 (((~v88(constB93, bitIndex2)) <=> v90(constB93, bitIndex2)) | v88(constB93, bitIndex2) | (~v90(constB93, bitIndex2))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26227,plain,
% 7.92/6.10 (v88(constB93, bitIndex2)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26226, 11266, 26225])).
% 7.92/6.10 tff(26228,plain,
% 7.92/6.10 ((((~v88(constB93, bitIndex1)) <=> v90(constB93, bitIndex1)) | ((~v88(constB93, bitIndex2)) <=> v90(constB93, bitIndex2)) | ((~v88(constB93, bitIndex0)) <=> v90(constB93, bitIndex0))) | (~((~v88(constB93, bitIndex0)) <=> v90(constB93, bitIndex0)))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26229,plain,
% 7.92/6.10 (~((~v88(constB93, bitIndex0)) <=> v90(constB93, bitIndex0))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26228, 26223])).
% 7.92/6.10 tff(26230,plain,
% 7.92/6.10 (((~v88(constB93, bitIndex0)) <=> v90(constB93, bitIndex0)) | (~v88(constB93, bitIndex0)) | v90(constB93, bitIndex0)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26231,plain,
% 7.92/6.10 (~v88(constB93, bitIndex0)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26230, 11284, 26229])).
% 7.92/6.10 tff(26232,plain,
% 7.92/6.10 ((((~v88(constB93, bitIndex1)) <=> v90(constB93, bitIndex1)) | ((~v88(constB93, bitIndex2)) <=> v90(constB93, bitIndex2)) | ((~v88(constB93, bitIndex0)) <=> v90(constB93, bitIndex0))) | (~((~v88(constB93, bitIndex1)) <=> v90(constB93, bitIndex1)))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26233,plain,
% 7.92/6.10 (~((~v88(constB93, bitIndex1)) <=> v90(constB93, bitIndex1))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26232, 26223])).
% 7.92/6.10 tff(26234,plain,
% 7.92/6.10 (((~v88(constB93, bitIndex1)) <=> v90(constB93, bitIndex1)) | (~v88(constB93, bitIndex1)) | v90(constB93, bitIndex1)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26235,plain,
% 7.92/6.10 (~v88(constB93, bitIndex1)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26234, 11302, 26233])).
% 7.92/6.10 tff(26236,plain,
% 7.92/6.10 ((~(v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0))) | v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26237,plain,
% 7.92/6.10 (~(v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26236, 26235, 26231, 26227])).
% 7.92/6.10 tff(26238,plain,
% 7.92/6.10 ((~(v146(constB93) <=> (~(v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0))))) | v146(constB93) | (v88(constB93, bitIndex1) | (~v88(constB93, bitIndex2)) | v88(constB93, bitIndex0))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26239,plain,
% 7.92/6.10 (v146(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26238, 26237, 26221])).
% 7.92/6.10 tff(26240,plain,
% 7.92/6.10 ((v146(constB93) | v147(constB93)) | (~v146(constB93))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26241,plain,
% 7.92/6.10 (v146(constB93) | v147(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26240, 26239])).
% 7.92/6.10 tff(26242,plain,
% 7.92/6.10 ((~(v145(constB93) <=> (v146(constB93) | v147(constB93)))) | v145(constB93) | (~(v146(constB93) | v147(constB93)))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26243,plain,
% 7.92/6.10 (v145(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26242, 26241, 26214])).
% 7.92/6.10 tff(26244,plain,
% 7.92/6.10 ((v145(constB93) | v165(constB93)) | (~v145(constB93))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26245,plain,
% 7.92/6.10 (v145(constB93) | v165(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26244, 26243])).
% 7.92/6.10 tff(26246,plain,
% 7.92/6.10 ((~(v164(constB93) <=> (v145(constB93) | v165(constB93)))) | v164(constB93) | (~(v145(constB93) | v165(constB93)))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26247,plain,
% 7.92/6.10 ((~(v164(constB93) <=> (v145(constB93) | v165(constB93)))) | v164(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26246, 26245])).
% 7.92/6.10 tff(26248,plain,
% 7.92/6.10 (v164(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26247, 26212])).
% 7.92/6.10 tff(26249,plain,
% 7.92/6.10 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB93)) | (v161(constB93) <=> v168(constB93)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB93)) | (v161(constB93) <=> v168(constB93)))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26250,plain,
% 7.92/6.10 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB93)) | (v161(constB93) <=> v168(constB93)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26251,plain,
% 7.92/6.10 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB93)) | (v161(constB93) <=> v168(constB93))),
% 7.92/6.10 inference(modus_ponens,[status(thm)],[26250, 26249])).
% 7.92/6.10 tff(26252,plain,
% 7.92/6.10 ((~v164(constB93)) | (v161(constB93) <=> v168(constB93))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26251, 12128])).
% 7.92/6.10 tff(26253,plain,
% 7.92/6.10 (v161(constB93) <=> v168(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26252, 26248])).
% 7.92/6.10 tff(26254,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26255,plain,
% 7.92/6.10 (v139(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2)))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26254, 12146])).
% 7.92/6.10 tff(26256,plain,
% 7.92/6.10 ((v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2)) | (~v88(constB93, bitIndex2))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26257,plain,
% 7.92/6.10 (v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26256, 26227])).
% 7.92/6.10 tff(26258,plain,
% 7.92/6.10 ((~(v139(constB93) <=> (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2))))) | (~v139(constB93)) | (~(v88(constB93, bitIndex0) | v88(constB93, bitIndex1) | v88(constB93, bitIndex2)))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26259,plain,
% 7.92/6.10 (~v139(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26258, 26257, 26255])).
% 7.92/6.10 tff(26260,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB93) <=> (~(v88(constB93, bitIndex1) | v88(constB93, bitIndex2) | (~v88(constB93, bitIndex0)))))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26261,plain,
% 7.92/6.10 (v140(constB93) <=> (~(v88(constB93, bitIndex1) | v88(constB93, bitIndex2) | (~v88(constB93, bitIndex0))))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26260, 12165])).
% 7.92/6.10 tff(26262,plain,
% 7.92/6.10 ((v88(constB93, bitIndex1) | v88(constB93, bitIndex2) | (~v88(constB93, bitIndex0))) | (~v88(constB93, bitIndex2))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26263,plain,
% 7.92/6.10 (v88(constB93, bitIndex1) | v88(constB93, bitIndex2) | (~v88(constB93, bitIndex0))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26262, 26227])).
% 7.92/6.10 tff(26264,plain,
% 7.92/6.10 ((~(v140(constB93) <=> (~(v88(constB93, bitIndex1) | v88(constB93, bitIndex2) | (~v88(constB93, bitIndex0)))))) | (~v140(constB93)) | (~(v88(constB93, bitIndex1) | v88(constB93, bitIndex2) | (~v88(constB93, bitIndex0))))),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26265,plain,
% 7.92/6.10 (~v140(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26264, 26263, 26261])).
% 7.92/6.10 tff(26266,plain,
% 7.92/6.10 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v168(constB93)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB93) | v139(constB93) | (~v168(constB93)))),
% 7.92/6.10 inference(rewrite,[status(thm)],[])).
% 7.92/6.10 tff(26267,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB93) | v139(constB93) | (~v168(constB93)))),
% 7.92/6.10 inference(quant_inst,[status(thm)],[])).
% 7.92/6.10 tff(26268,plain,
% 7.92/6.10 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB93) | v139(constB93) | (~v168(constB93))),
% 7.92/6.10 inference(modus_ponens,[status(thm)],[26267, 26266])).
% 7.92/6.10 tff(26269,plain,
% 7.92/6.10 (v140(constB93) | v139(constB93) | (~v168(constB93))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26268, 12184])).
% 7.92/6.10 tff(26270,plain,
% 7.92/6.10 (~v168(constB93)),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26269, 26265, 26259])).
% 7.92/6.10 tff(26271,plain,
% 7.92/6.10 ((~(v161(constB93) <=> v168(constB93))) | (~v161(constB93)) | v168(constB93)),
% 7.92/6.10 inference(tautology,[status(thm)],[])).
% 7.92/6.10 tff(26272,plain,
% 7.92/6.10 ((~(v161(constB93) <=> v168(constB93))) | (~v161(constB93))),
% 7.92/6.10 inference(unit_resolution,[status(thm)],[26271, 26270])).
% 7.92/6.11 tff(26273,plain,
% 7.92/6.11 (~v161(constB93)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26272, 26253])).
% 7.92/6.11 tff(26274,plain,
% 7.92/6.11 ((~(v159(constB93) <=> v161(constB93))) | (~v159(constB93)) | v161(constB93)),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26275,plain,
% 7.92/6.11 ((~(v159(constB93) <=> v161(constB93))) | (~v159(constB93))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26274, 26273])).
% 7.92/6.11 tff(26276,plain,
% 7.92/6.11 (~v159(constB93)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26275, 26210])).
% 7.92/6.11 tff(26277,plain,
% 7.92/6.11 (((~v184(constB93)) | (~v159(constB93))) | v159(constB93)),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26278,plain,
% 7.92/6.11 ((~v184(constB93)) | (~v159(constB93))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26277, 26276])).
% 7.92/6.11 tff(26279,plain,
% 7.92/6.11 ((~(v187(constB93) <=> (~((~v184(constB93)) | (~v159(constB93)))))) | (~v187(constB93)) | (~((~v184(constB93)) | (~v159(constB93))))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26280,plain,
% 7.92/6.11 (~v187(constB93)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26279, 26278, 26208])).
% 7.92/6.11 tff(26281,plain,
% 7.92/6.11 (((~v186(constB93)) | (~v187(constB93))) | v187(constB93)),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26282,plain,
% 7.92/6.11 ((~v186(constB93)) | (~v187(constB93))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26281, 26280])).
% 7.92/6.11 tff(26283,plain,
% 7.92/6.11 ((~(v185(constB93) <=> (~((~v186(constB93)) | (~v187(constB93)))))) | (~v185(constB93)) | (~((~v186(constB93)) | (~v187(constB93))))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26284,plain,
% 7.92/6.11 (~v185(constB93)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26283, 26282, 26206])).
% 7.92/6.11 tff(26285,plain,
% 7.92/6.11 ((~(v181(constB93) | v185(constB93))) | v181(constB93) | v185(constB93)),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26286,plain,
% 7.92/6.11 (~(v181(constB93) | v185(constB93))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26285, 26284, 26204])).
% 7.92/6.11 tff(26287,plain,
% 7.92/6.11 ((~(v178(constB93) <=> (v181(constB93) | v185(constB93)))) | (~v178(constB93)) | (v181(constB93) | v185(constB93))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26288,plain,
% 7.92/6.11 (~v178(constB93)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26287, 26286, 26131])).
% 7.92/6.11 tff(26289,plain,
% 7.92/6.11 ((~(v180(constB94) <=> v178(constB93))) | (~v180(constB94)) | v178(constB93)),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26290,plain,
% 7.92/6.11 (~v180(constB94)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26289, 26288, 26129])).
% 7.92/6.11 tff(26291,plain,
% 7.92/6.11 ((~(v157(constB94) <=> v180(constB94))) | (~v157(constB94)) | v180(constB94)),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26292,plain,
% 7.92/6.11 (~v157(constB94)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26291, 26290, 26125])).
% 7.92/6.11 tff(26293,plain,
% 7.92/6.11 (((~v157(constB94)) | (~v182(constB94))) | v157(constB94)),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26294,plain,
% 7.92/6.11 ((~v157(constB94)) | (~v182(constB94))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26293, 26292])).
% 7.92/6.11 tff(26295,plain,
% 7.92/6.11 ((~(v181(constB94) <=> (~((~v157(constB94)) | (~v182(constB94)))))) | (~v181(constB94)) | (~((~v157(constB94)) | (~v182(constB94))))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26296,plain,
% 7.92/6.11 (~v181(constB94)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26295, 26294, 26123])).
% 7.92/6.11 tff(26297,plain,
% 7.92/6.11 ((~(v181(constB94) | v185(constB94))) | v181(constB94) | v185(constB94)),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26298,plain,
% 7.92/6.11 (~(v181(constB94) | v185(constB94))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26297, 26296, 26116])).
% 7.92/6.11 tff(26299,plain,
% 7.92/6.11 ((~(v178(constB94) <=> (v181(constB94) | v185(constB94)))) | (~v178(constB94)) | (v181(constB94) | v185(constB94))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26300,plain,
% 7.92/6.11 (~v178(constB94)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26299, 26298, 26091])).
% 7.92/6.11 tff(26301,plain,
% 7.92/6.11 ((~(v180(constB95) <=> v178(constB94))) | (~v180(constB95)) | v178(constB94)),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26302,plain,
% 7.92/6.11 (~v180(constB95)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26301, 26300, 26089])).
% 7.92/6.11 tff(26303,plain,
% 7.92/6.11 ($false),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26302, 26085])).
% 7.92/6.11 tff(26304,plain,(~(constB95 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.92/6.11 tff(26305,assumption,(constB157 = VarCurr!0), introduced(assumption)).
% 7.92/6.11 tff(26306,plain,
% 7.92/6.11 (v86(constB157) <=> v86(VarCurr!0)),
% 7.92/6.11 inference(monotonicity,[status(thm)],[26305])).
% 7.92/6.11 tff(26307,plain,
% 7.92/6.11 (v86(VarCurr!0) <=> v86(constB157)),
% 7.92/6.11 inference(symmetry,[status(thm)],[26306])).
% 7.92/6.11 tff(26308,plain,
% 7.92/6.11 ((~v86(VarCurr!0)) <=> (~v86(constB157))),
% 7.92/6.11 inference(monotonicity,[status(thm)],[26307])).
% 7.92/6.11 tff(26309,plain,
% 7.92/6.11 (~v86(constB157)),
% 7.92/6.11 inference(modus_ponens,[status(thm)],[21766, 26308])).
% 7.92/6.11 tff(26310,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB157) <=> (v136(constB157) | v145(constB157)))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26311,plain,
% 7.92/6.11 (v135(constB157) <=> (v136(constB157) | v145(constB157))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26310, 21774])).
% 7.92/6.11 tff(26312,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB157) <=> (v137(constB157) | v142(constB157)))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26313,plain,
% 7.92/6.11 (v136(constB157) <=> (v137(constB157) | v142(constB157))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26312, 21783])).
% 7.92/6.11 tff(26314,plain,
% 7.92/6.11 ((v137(constB157) | v142(constB157)) | (~v142(constB157))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26315,plain,
% 7.92/6.11 (v137(constB157) | v142(constB157)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26314, 24523])).
% 7.92/6.11 tff(26316,plain,
% 7.92/6.11 ((~(v136(constB157) <=> (v137(constB157) | v142(constB157)))) | v136(constB157) | (~(v137(constB157) | v142(constB157)))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26317,plain,
% 7.92/6.11 ((~(v136(constB157) <=> (v137(constB157) | v142(constB157)))) | v136(constB157)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26316, 26315])).
% 7.92/6.11 tff(26318,plain,
% 7.92/6.11 (v136(constB157)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26317, 26313])).
% 7.92/6.11 tff(26319,plain,
% 7.92/6.11 ((v136(constB157) | v145(constB157)) | (~v136(constB157))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26320,plain,
% 7.92/6.11 (v136(constB157) | v145(constB157)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26319, 26318])).
% 7.92/6.11 tff(26321,plain,
% 7.92/6.11 ((~(v135(constB157) <=> (v136(constB157) | v145(constB157)))) | v135(constB157) | (~(v136(constB157) | v145(constB157)))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26322,plain,
% 7.92/6.11 (v135(constB157)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26321, 26320, 26311])).
% 7.92/6.11 tff(26323,plain,
% 7.92/6.11 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB157)) | (v86(constB157) <=> v148(constB157)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB157)) | (v86(constB157) <=> v148(constB157)))),
% 7.92/6.11 inference(rewrite,[status(thm)],[])).
% 7.92/6.11 tff(26324,plain,
% 7.92/6.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB157)) | (v86(constB157) <=> v148(constB157)))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26325,plain,
% 7.92/6.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB157)) | (v86(constB157) <=> v148(constB157))),
% 7.92/6.11 inference(modus_ponens,[status(thm)],[26324, 26323])).
% 7.92/6.11 tff(26326,plain,
% 7.92/6.11 (v86(constB157) <=> v148(constB157)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26325, 21855, 26322])).
% 7.92/6.11 tff(26327,plain,
% 7.92/6.11 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB157) | (~v142(constB157)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB157) | (~v142(constB157)))),
% 7.92/6.11 inference(rewrite,[status(thm)],[])).
% 7.92/6.11 tff(26328,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB157) | (~v142(constB157)))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26329,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB157) | (~v142(constB157))),
% 7.92/6.11 inference(modus_ponens,[status(thm)],[26328, 26327])).
% 7.92/6.11 tff(26330,plain,
% 7.92/6.11 (v148(constB157)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26329, 21869, 24523])).
% 7.92/6.11 tff(26331,plain,
% 7.92/6.11 ((~(v86(constB157) <=> v148(constB157))) | v86(constB157) | (~v148(constB157))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26332,plain,
% 7.92/6.11 ((~(v86(constB157) <=> v148(constB157))) | v86(constB157)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26331, 26330])).
% 7.92/6.11 tff(26333,plain,
% 7.92/6.11 (v86(constB157)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26332, 26326])).
% 7.92/6.11 tff(26334,plain,
% 7.92/6.11 ($false),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26333, 26309])).
% 7.92/6.11 tff(26335,plain,(~(constB157 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.92/6.11 tff(26336,assumption,(constB121 = VarCurr!0), introduced(assumption)).
% 7.92/6.11 tff(26337,plain,
% 7.92/6.11 (v86(constB121) <=> v86(VarCurr!0)),
% 7.92/6.11 inference(monotonicity,[status(thm)],[26336])).
% 7.92/6.11 tff(26338,plain,
% 7.92/6.11 (v86(VarCurr!0) <=> v86(constB121)),
% 7.92/6.11 inference(symmetry,[status(thm)],[26337])).
% 7.92/6.11 tff(26339,plain,
% 7.92/6.11 ((~v86(VarCurr!0)) <=> (~v86(constB121))),
% 7.92/6.11 inference(monotonicity,[status(thm)],[26338])).
% 7.92/6.11 tff(26340,plain,
% 7.92/6.11 (~v86(constB121)),
% 7.92/6.11 inference(modus_ponens,[status(thm)],[21766, 26339])).
% 7.92/6.11 tff(26341,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB121) <=> (v136(constB121) | v145(constB121)))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26342,plain,
% 7.92/6.11 (v135(constB121) <=> (v136(constB121) | v145(constB121))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26341, 21774])).
% 7.92/6.11 tff(26343,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB121) <=> (v137(constB121) | v142(constB121)))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26344,plain,
% 7.92/6.11 (v136(constB121) <=> (v137(constB121) | v142(constB121))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26343, 21783])).
% 7.92/6.11 tff(26345,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB121) <=> (v143(constB121) | v144(constB121)))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26346,plain,
% 7.92/6.11 (v142(constB121) <=> (v143(constB121) | v144(constB121))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26345, 21792])).
% 7.92/6.11 tff(26347,plain,
% 7.92/6.11 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0)))))),
% 7.92/6.11 inference(rewrite,[status(thm)],[])).
% 7.92/6.11 tff(26348,plain,
% 7.92/6.11 ((v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2))))) <=> (v144(constB121) <=> (~((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0))))),
% 7.92/6.11 inference(rewrite,[status(thm)],[])).
% 7.92/6.11 tff(26349,plain,
% 7.92/6.11 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0)))))),
% 7.92/6.11 inference(monotonicity,[status(thm)],[26348])).
% 7.92/6.11 tff(26350,plain,
% 7.92/6.11 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0)))))),
% 7.92/6.11 inference(transitivity,[status(thm)],[26349, 26347])).
% 7.92/6.11 tff(26351,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~(v88(constB121, bitIndex0) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)))))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26352,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB121) <=> (~((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0))))),
% 7.92/6.11 inference(modus_ponens,[status(thm)],[26351, 26350])).
% 7.92/6.11 tff(26353,plain,
% 7.92/6.11 (v144(constB121) <=> (~((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0)))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26352, 21807])).
% 7.92/6.11 tff(26354,plain,
% 7.92/6.11 ((~![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))))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26355,plain,
% 7.92/6.11 (~(((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)) | ((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)) | ((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0)))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26354, 416])).
% 7.92/6.11 tff(26356,plain,
% 7.92/6.11 ((((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)) | ((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)) | ((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0))) | (~((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26357,plain,
% 7.92/6.11 (~((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26356, 26355])).
% 7.92/6.11 tff(26358,plain,
% 7.92/6.11 (((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)) | v88(constB121, bitIndex2) | (~v90(constB121, bitIndex2))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26359,plain,
% 7.92/6.11 (v88(constB121, bitIndex2)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26358, 16393, 26357])).
% 7.92/6.11 tff(26360,plain,
% 7.92/6.11 ((((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)) | ((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)) | ((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0))) | (~((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0)))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26361,plain,
% 7.92/6.11 (~((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26360, 26355])).
% 7.92/6.11 tff(26362,plain,
% 7.92/6.11 (((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0)) | (~v88(constB121, bitIndex0)) | v90(constB121, bitIndex0)),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26363,plain,
% 7.92/6.11 (~v88(constB121, bitIndex0)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26362, 16544, 26361])).
% 7.92/6.11 tff(26364,plain,
% 7.92/6.11 ((((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)) | ((~v88(constB121, bitIndex2)) <=> v90(constB121, bitIndex2)) | ((~v88(constB121, bitIndex0)) <=> v90(constB121, bitIndex0))) | (~((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26365,plain,
% 7.92/6.11 (~((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26364, 26355])).
% 7.92/6.11 tff(26366,plain,
% 7.92/6.11 (((~v88(constB121, bitIndex1)) <=> v90(constB121, bitIndex1)) | v88(constB121, bitIndex1) | (~v90(constB121, bitIndex1))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26367,plain,
% 7.92/6.11 (v88(constB121, bitIndex1)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26366, 16422, 26365])).
% 7.92/6.11 tff(26368,plain,
% 7.92/6.11 ((~((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0))) | (~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0)),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26369,plain,
% 7.92/6.11 (~((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26368, 26367, 26363, 26359])).
% 7.92/6.11 tff(26370,plain,
% 7.92/6.11 ((~(v144(constB121) <=> (~((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0))))) | v144(constB121) | ((~v88(constB121, bitIndex1)) | (~v88(constB121, bitIndex2)) | v88(constB121, bitIndex0))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26371,plain,
% 7.92/6.11 (v144(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26370, 26369, 26353])).
% 7.92/6.11 tff(26372,plain,
% 7.92/6.11 ((v143(constB121) | v144(constB121)) | (~v144(constB121))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26373,plain,
% 7.92/6.11 (v143(constB121) | v144(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26372, 26371])).
% 7.92/6.11 tff(26374,plain,
% 7.92/6.11 ((~(v142(constB121) <=> (v143(constB121) | v144(constB121)))) | v142(constB121) | (~(v143(constB121) | v144(constB121)))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26375,plain,
% 7.92/6.11 (v142(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26374, 26373, 26346])).
% 7.92/6.11 tff(26376,plain,
% 7.92/6.11 ((v137(constB121) | v142(constB121)) | (~v142(constB121))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26377,plain,
% 7.92/6.11 (v137(constB121) | v142(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26376, 26375])).
% 7.92/6.11 tff(26378,plain,
% 7.92/6.11 ((~(v136(constB121) <=> (v137(constB121) | v142(constB121)))) | v136(constB121) | (~(v137(constB121) | v142(constB121)))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26379,plain,
% 7.92/6.11 ((~(v136(constB121) <=> (v137(constB121) | v142(constB121)))) | v136(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26378, 26377])).
% 7.92/6.11 tff(26380,plain,
% 7.92/6.11 (v136(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26379, 26344])).
% 7.92/6.11 tff(26381,plain,
% 7.92/6.11 ((v136(constB121) | v145(constB121)) | (~v136(constB121))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26382,plain,
% 7.92/6.11 (v136(constB121) | v145(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26381, 26380])).
% 7.92/6.11 tff(26383,plain,
% 7.92/6.11 ((~(v135(constB121) <=> (v136(constB121) | v145(constB121)))) | v135(constB121) | (~(v136(constB121) | v145(constB121)))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26384,plain,
% 7.92/6.11 (v135(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26383, 26382, 26342])).
% 7.92/6.11 tff(26385,plain,
% 7.92/6.11 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB121)) | (v86(constB121) <=> v148(constB121)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB121)) | (v86(constB121) <=> v148(constB121)))),
% 7.92/6.11 inference(rewrite,[status(thm)],[])).
% 7.92/6.11 tff(26386,plain,
% 7.92/6.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB121)) | (v86(constB121) <=> v148(constB121)))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26387,plain,
% 7.92/6.11 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB121)) | (v86(constB121) <=> v148(constB121))),
% 7.92/6.11 inference(modus_ponens,[status(thm)],[26386, 26385])).
% 7.92/6.11 tff(26388,plain,
% 7.92/6.11 (v86(constB121) <=> v148(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26387, 21855, 26384])).
% 7.92/6.11 tff(26389,plain,
% 7.92/6.11 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB121) | (~v142(constB121)))),
% 7.92/6.11 inference(rewrite,[status(thm)],[])).
% 7.92/6.11 tff(26390,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB121) | (~v142(constB121)))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26391,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB121) | (~v142(constB121))),
% 7.92/6.11 inference(modus_ponens,[status(thm)],[26390, 26389])).
% 7.92/6.11 tff(26392,plain,
% 7.92/6.11 (v148(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26391, 21869, 26375])).
% 7.92/6.11 tff(26393,plain,
% 7.92/6.11 ((~(v86(constB121) <=> v148(constB121))) | v86(constB121) | (~v148(constB121))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26394,plain,
% 7.92/6.11 ((~(v86(constB121) <=> v148(constB121))) | v86(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26393, 26392])).
% 7.92/6.11 tff(26395,plain,
% 7.92/6.11 (v86(constB121)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26394, 26388])).
% 7.92/6.11 tff(26396,plain,
% 7.92/6.11 ($false),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26395, 26340])).
% 7.92/6.11 tff(26397,plain,(~(constB121 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 7.92/6.11 tff(26398,assumption,(constB171 = VarCurr!0), introduced(assumption)).
% 7.92/6.11 tff(26399,plain,
% 7.92/6.11 (v180(constB171) <=> v180(VarCurr!0)),
% 7.92/6.11 inference(monotonicity,[status(thm)],[26398])).
% 7.92/6.11 tff(26400,plain,
% 7.92/6.11 (v180(VarCurr!0) <=> v180(constB171)),
% 7.92/6.11 inference(symmetry,[status(thm)],[26399])).
% 7.92/6.11 tff(26401,plain,
% 7.92/6.11 (v180(constB171)),
% 7.92/6.11 inference(modus_ponens,[status(thm)],[59, 26400])).
% 7.92/6.11 tff(26402,plain,
% 7.92/6.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB170, constB171)) | (v180(constB171) <=> v178(constB170)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB170, constB171)) | (v180(constB171) <=> v178(constB170)))),
% 7.92/6.11 inference(rewrite,[status(thm)],[])).
% 7.92/6.11 tff(26403,plain,
% 7.92/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB170, constB171)) | (v180(constB171) <=> v178(constB170)))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26404,plain,
% 7.92/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB170, constB171)) | (v180(constB171) <=> v178(constB170))),
% 7.92/6.11 inference(modus_ponens,[status(thm)],[26403, 26402])).
% 7.92/6.11 tff(26405,plain,
% 7.92/6.11 (v180(constB171) <=> v178(constB170)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26404, 12894, 70])).
% 7.92/6.11 tff(26406,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB170) <=> (v181(constB170) | v185(constB170)))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26407,plain,
% 7.92/6.11 (v178(constB170) <=> (v181(constB170) | v185(constB170))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26406, 84])).
% 7.92/6.11 tff(26408,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB170) <=> (~((~v186(constB170)) | (~v187(constB170)))))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26409,plain,
% 7.92/6.11 (v185(constB170) <=> (~((~v186(constB170)) | (~v187(constB170))))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26408, 96])).
% 7.92/6.11 tff(26410,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB170) <=> (~((~v184(constB170)) | (~v159(constB170)))))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26411,plain,
% 7.92/6.11 (v187(constB170) <=> (~((~v184(constB170)) | (~v159(constB170))))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26410, 108])).
% 7.92/6.11 tff(26412,plain,
% 7.92/6.11 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26413,plain,
% 7.92/6.11 (v184(constB170) <=> (~((~v39(constB170)) | (~v9(constB170))))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26412, 120])).
% 7.92/6.11 tff(26414,plain,
% 7.92/6.11 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB170)) <=> v1(constB170))),
% 7.92/6.11 inference(quant_inst,[status(thm)],[])).
% 7.92/6.11 tff(26415,plain,
% 7.92/6.11 ((~v39(constB170)) <=> v1(constB170)),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26414, 129])).
% 7.92/6.11 tff(26416,plain,
% 7.92/6.11 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170)) | (~v1(constB170))),
% 7.92/6.11 inference(tautology,[status(thm)],[])).
% 7.92/6.11 tff(26417,plain,
% 7.92/6.11 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170))),
% 7.92/6.11 inference(unit_resolution,[status(thm)],[26416, 20249])).
% 8.00/6.11 tff(26418,plain,
% 8.00/6.11 (~v39(constB170)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26417, 26415])).
% 8.00/6.11 tff(26419,plain,
% 8.00/6.11 (((~v39(constB170)) | (~v9(constB170))) | v39(constB170)),
% 8.00/6.11 inference(tautology,[status(thm)],[])).
% 8.00/6.11 tff(26420,plain,
% 8.00/6.11 ((~v39(constB170)) | (~v9(constB170))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26419, 26418])).
% 8.00/6.11 tff(26421,plain,
% 8.00/6.11 ((~(v184(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v184(constB170)) | (~((~v39(constB170)) | (~v9(constB170))))),
% 8.00/6.11 inference(tautology,[status(thm)],[])).
% 8.00/6.11 tff(26422,plain,
% 8.00/6.11 ((~(v184(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v184(constB170))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26421, 26420])).
% 8.00/6.11 tff(26423,plain,
% 8.00/6.11 (~v184(constB170)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26422, 26413])).
% 8.00/6.11 tff(26424,plain,
% 8.00/6.11 (((~v184(constB170)) | (~v159(constB170))) | v184(constB170)),
% 8.00/6.11 inference(tautology,[status(thm)],[])).
% 8.00/6.11 tff(26425,plain,
% 8.00/6.11 ((~v184(constB170)) | (~v159(constB170))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26424, 26423])).
% 8.00/6.11 tff(26426,plain,
% 8.00/6.11 ((~(v187(constB170) <=> (~((~v184(constB170)) | (~v159(constB170)))))) | (~v187(constB170)) | (~((~v184(constB170)) | (~v159(constB170))))),
% 8.00/6.11 inference(tautology,[status(thm)],[])).
% 8.00/6.11 tff(26427,plain,
% 8.00/6.11 ((~(v187(constB170) <=> (~((~v184(constB170)) | (~v159(constB170)))))) | (~v187(constB170))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26426, 26425])).
% 8.00/6.11 tff(26428,plain,
% 8.00/6.11 (~v187(constB170)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26427, 26411])).
% 8.00/6.11 tff(26429,plain,
% 8.00/6.11 (((~v186(constB170)) | (~v187(constB170))) | v187(constB170)),
% 8.00/6.11 inference(tautology,[status(thm)],[])).
% 8.00/6.11 tff(26430,plain,
% 8.00/6.11 ((~v186(constB170)) | (~v187(constB170))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26429, 26428])).
% 8.00/6.11 tff(26431,plain,
% 8.00/6.11 ((~(v185(constB170) <=> (~((~v186(constB170)) | (~v187(constB170)))))) | (~v185(constB170)) | (~((~v186(constB170)) | (~v187(constB170))))),
% 8.00/6.11 inference(tautology,[status(thm)],[])).
% 8.00/6.11 tff(26432,plain,
% 8.00/6.11 (~v185(constB170)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26431, 26430, 26409])).
% 8.00/6.11 tff(26433,plain,
% 8.00/6.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB170) <=> (~((~v157(constB170)) | (~v182(constB170)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB170) <=> (~((~v157(constB170)) | (~v182(constB170))))))),
% 8.00/6.11 inference(rewrite,[status(thm)],[])).
% 8.00/6.11 tff(26434,plain,
% 8.00/6.11 ((v181(constB170) <=> (~((~v182(constB170)) | (~v157(constB170))))) <=> (v181(constB170) <=> (~((~v157(constB170)) | (~v182(constB170)))))),
% 8.00/6.11 inference(rewrite,[status(thm)],[])).
% 8.00/6.11 tff(26435,plain,
% 8.00/6.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB170) <=> (~((~v182(constB170)) | (~v157(constB170)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB170) <=> (~((~v157(constB170)) | (~v182(constB170))))))),
% 8.00/6.11 inference(monotonicity,[status(thm)],[26434])).
% 8.00/6.11 tff(26436,plain,
% 8.00/6.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB170) <=> (~((~v182(constB170)) | (~v157(constB170)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB170) <=> (~((~v157(constB170)) | (~v182(constB170))))))),
% 8.00/6.11 inference(transitivity,[status(thm)],[26435, 26433])).
% 8.00/6.11 tff(26437,plain,
% 8.00/6.11 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB170) <=> (~((~v182(constB170)) | (~v157(constB170)))))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26438,plain,
% 8.00/6.11 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB170) <=> (~((~v157(constB170)) | (~v182(constB170)))))),
% 8.00/6.11 inference(modus_ponens,[status(thm)],[26437, 26436])).
% 8.00/6.11 tff(26439,plain,
% 8.00/6.11 (v181(constB170) <=> (~((~v157(constB170)) | (~v182(constB170))))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26438, 161])).
% 8.00/6.11 tff(26440,plain,
% 8.00/6.11 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB170) <=> v180(constB170))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26441,plain,
% 8.00/6.11 (v157(constB170) <=> v180(constB170)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26440, 13])).
% 8.00/6.11 tff(26442,plain,
% 8.00/6.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB169, constB170)) | (v180(constB170) <=> v178(constB169)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB169, constB170)) | (v180(constB170) <=> v178(constB169)))),
% 8.00/6.11 inference(rewrite,[status(thm)],[])).
% 8.00/6.11 tff(26443,plain,
% 8.00/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB169, constB170)) | (v180(constB170) <=> v178(constB169)))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26444,plain,
% 8.00/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB169, constB170)) | (v180(constB170) <=> v178(constB169))),
% 8.00/6.11 inference(modus_ponens,[status(thm)],[26443, 26442])).
% 8.00/6.11 tff(26445,plain,
% 8.00/6.11 (v180(constB170) <=> v178(constB169)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26444, 12930, 70])).
% 8.00/6.11 tff(26446,plain,
% 8.00/6.11 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB169) <=> (v181(constB169) | v185(constB169)))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26447,plain,
% 8.00/6.11 (v178(constB169) <=> (v181(constB169) | v185(constB169))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26446, 84])).
% 8.00/6.11 tff(26448,plain,
% 8.00/6.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB169) <=> (~((~v157(constB169)) | (~v182(constB169)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB169) <=> (~((~v157(constB169)) | (~v182(constB169))))))),
% 8.00/6.11 inference(rewrite,[status(thm)],[])).
% 8.00/6.11 tff(26449,plain,
% 8.00/6.11 ((v181(constB169) <=> (~((~v182(constB169)) | (~v157(constB169))))) <=> (v181(constB169) <=> (~((~v157(constB169)) | (~v182(constB169)))))),
% 8.00/6.11 inference(rewrite,[status(thm)],[])).
% 8.00/6.11 tff(26450,plain,
% 8.00/6.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB169) <=> (~((~v182(constB169)) | (~v157(constB169)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB169) <=> (~((~v157(constB169)) | (~v182(constB169))))))),
% 8.00/6.11 inference(monotonicity,[status(thm)],[26449])).
% 8.00/6.11 tff(26451,plain,
% 8.00/6.11 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB169) <=> (~((~v182(constB169)) | (~v157(constB169)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB169) <=> (~((~v157(constB169)) | (~v182(constB169))))))),
% 8.00/6.11 inference(transitivity,[status(thm)],[26450, 26448])).
% 8.00/6.11 tff(26452,plain,
% 8.00/6.11 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB169) <=> (~((~v182(constB169)) | (~v157(constB169)))))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26453,plain,
% 8.00/6.11 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB169) <=> (~((~v157(constB169)) | (~v182(constB169)))))),
% 8.00/6.11 inference(modus_ponens,[status(thm)],[26452, 26451])).
% 8.00/6.11 tff(26454,plain,
% 8.00/6.11 (v181(constB169) <=> (~((~v157(constB169)) | (~v182(constB169))))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26453, 161])).
% 8.00/6.11 tff(26455,plain,
% 8.00/6.11 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB169)) <=> v183(constB169))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26456,plain,
% 8.00/6.11 ((~v182(constB169)) <=> v183(constB169)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26455, 193])).
% 8.00/6.11 tff(26457,plain,
% 8.00/6.11 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB169) <=> (v184(constB169) | v26(constB169)))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26458,plain,
% 8.00/6.11 (v183(constB169) <=> (v184(constB169) | v26(constB169))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26457, 202])).
% 8.00/6.11 tff(26459,plain,
% 8.00/6.11 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB169) <=> (~((~v39(constB169)) | (~v9(constB169)))))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26460,plain,
% 8.00/6.11 (v184(constB169) <=> (~((~v39(constB169)) | (~v9(constB169))))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26459, 120])).
% 8.00/6.11 tff(26461,plain,
% 8.00/6.11 (((~![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)))),
% 8.00/6.11 inference(rewrite,[status(thm)],[])).
% 8.00/6.11 tff(26462,plain,
% 8.00/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169)))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26463,plain,
% 8.00/6.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169))),
% 8.00/6.11 inference(modus_ponens,[status(thm)],[26462, 26461])).
% 8.00/6.11 tff(26464,plain,
% 8.00/6.11 (v13(constB170) <=> v9(constB169)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26463, 12930, 216])).
% 8.00/6.11 tff(26465,plain,
% 8.00/6.11 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB170) <=> v13(constB170))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26466,plain,
% 8.00/6.11 (v6(constB170) <=> v13(constB170)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26465, 230])).
% 8.00/6.11 tff(26467,plain,
% 8.00/6.11 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB170)) <=> v6(constB170))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26468,plain,
% 8.00/6.11 ((~v21(constB170)) <=> v6(constB170)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26467, 239])).
% 8.00/6.11 tff(26469,plain,
% 8.00/6.11 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB170) <=> (v20(constB170) | v21(constB170)))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26470,plain,
% 8.00/6.11 (v19(constB170) <=> (v20(constB170) | v21(constB170))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26469, 248])).
% 8.00/6.11 tff(26471,plain,
% 8.00/6.11 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170)))))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26472,plain,
% 8.00/6.11 (v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170))))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26471, 260])).
% 8.00/6.11 tff(26473,plain,
% 8.00/6.11 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB170)) <=> v18(constB170))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26474,plain,
% 8.00/6.11 ((~v4(constB170)) <=> v18(constB170)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26473, 269])).
% 8.00/6.11 tff(26475,plain,
% 8.00/6.11 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB170)),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.11 tff(26476,plain,
% 8.00/6.11 (v4(constB170)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26475, 278])).
% 8.00/6.11 tff(26477,plain,
% 8.00/6.11 ((~((~v4(constB170)) <=> v18(constB170))) | (~v4(constB170)) | (~v18(constB170))),
% 8.00/6.11 inference(tautology,[status(thm)],[])).
% 8.00/6.11 tff(26478,plain,
% 8.00/6.11 (~v18(constB170)),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26477, 26476, 26474])).
% 8.00/6.11 tff(26479,plain,
% 8.00/6.11 ((~(v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170)))))) | v18(constB170) | ((~v19(constB170)) | (~v22(constB170)))),
% 8.00/6.11 inference(tautology,[status(thm)],[])).
% 8.00/6.11 tff(26480,plain,
% 8.00/6.11 ((~v19(constB170)) | (~v22(constB170))),
% 8.00/6.11 inference(unit_resolution,[status(thm)],[26479, 26478, 26472])).
% 8.00/6.11 tff(26481,plain,
% 8.00/6.11 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB170) <=> (v1(constB170) | v6(constB170)))),
% 8.00/6.11 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26482,plain,
% 8.00/6.12 (v22(constB170) <=> (v1(constB170) | v6(constB170))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26481, 291])).
% 8.00/6.12 tff(26483,plain,
% 8.00/6.12 ((v1(constB170) | v6(constB170)) | (~v1(constB170))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26484,plain,
% 8.00/6.12 (v1(constB170) | v6(constB170)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26483, 20249])).
% 8.00/6.12 tff(26485,plain,
% 8.00/6.12 ((~(v22(constB170) <=> (v1(constB170) | v6(constB170)))) | v22(constB170) | (~(v1(constB170) | v6(constB170)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26486,plain,
% 8.00/6.12 ((~(v22(constB170) <=> (v1(constB170) | v6(constB170)))) | v22(constB170)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26485, 26484])).
% 8.00/6.12 tff(26487,plain,
% 8.00/6.12 (v22(constB170)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26486, 26482])).
% 8.00/6.12 tff(26488,plain,
% 8.00/6.12 ((~((~v19(constB170)) | (~v22(constB170)))) | (~v19(constB170)) | (~v22(constB170))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26489,plain,
% 8.00/6.12 ((~((~v19(constB170)) | (~v22(constB170)))) | (~v19(constB170))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26488, 26487])).
% 8.00/6.12 tff(26490,plain,
% 8.00/6.12 (~v19(constB170)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26489, 26480])).
% 8.00/6.12 tff(26491,plain,
% 8.00/6.12 ((~(v19(constB170) <=> (v20(constB170) | v21(constB170)))) | v19(constB170) | (~(v20(constB170) | v21(constB170)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26492,plain,
% 8.00/6.12 (~(v20(constB170) | v21(constB170))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26491, 26490, 26470])).
% 8.00/6.12 tff(26493,plain,
% 8.00/6.12 ((v20(constB170) | v21(constB170)) | (~v21(constB170))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26494,plain,
% 8.00/6.12 (~v21(constB170)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26493, 26492])).
% 8.00/6.12 tff(26495,plain,
% 8.00/6.12 ((~((~v21(constB170)) <=> v6(constB170))) | v21(constB170) | v6(constB170)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26496,plain,
% 8.00/6.12 (v6(constB170)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26495, 26494, 26468])).
% 8.00/6.12 tff(26497,plain,
% 8.00/6.12 ((~(v6(constB170) <=> v13(constB170))) | (~v6(constB170)) | v13(constB170)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26498,plain,
% 8.00/6.12 (v13(constB170)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26497, 26496, 26466])).
% 8.00/6.12 tff(26499,plain,
% 8.00/6.12 ((~(v13(constB170) <=> v9(constB169))) | (~v13(constB170)) | v9(constB169)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26500,plain,
% 8.00/6.12 (v9(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26499, 26498, 26464])).
% 8.00/6.12 tff(26501,plain,
% 8.00/6.12 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB169)) <=> v1(constB169))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26502,plain,
% 8.00/6.12 ((~v39(constB169)) <=> v1(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26501, 129])).
% 8.00/6.12 tff(26503,plain,
% 8.00/6.12 ((~((~v39(constB169)) <=> v1(constB169))) | v39(constB169) | v1(constB169)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26504,plain,
% 8.00/6.12 ((~((~v39(constB169)) <=> v1(constB169))) | v39(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26503, 12969])).
% 8.00/6.12 tff(26505,plain,
% 8.00/6.12 (v39(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26504, 26502])).
% 8.00/6.12 tff(26506,plain,
% 8.00/6.12 ((~((~v39(constB169)) | (~v9(constB169)))) | (~v39(constB169)) | (~v9(constB169))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26507,plain,
% 8.00/6.12 ((~((~v39(constB169)) | (~v9(constB169)))) | (~v9(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26506, 26505])).
% 8.00/6.12 tff(26508,plain,
% 8.00/6.12 (~((~v39(constB169)) | (~v9(constB169)))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26507, 26500])).
% 8.00/6.12 tff(26509,plain,
% 8.00/6.12 ((~(v184(constB169) <=> (~((~v39(constB169)) | (~v9(constB169)))))) | v184(constB169) | ((~v39(constB169)) | (~v9(constB169)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26510,plain,
% 8.00/6.12 (v184(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26509, 26508, 26460])).
% 8.00/6.12 tff(26511,plain,
% 8.00/6.12 ((v184(constB169) | v26(constB169)) | (~v184(constB169))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26512,plain,
% 8.00/6.12 (v184(constB169) | v26(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26511, 26510])).
% 8.00/6.12 tff(26513,plain,
% 8.00/6.12 ((~(v183(constB169) <=> (v184(constB169) | v26(constB169)))) | v183(constB169) | (~(v184(constB169) | v26(constB169)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26514,plain,
% 8.00/6.12 (v183(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26513, 26512, 26458])).
% 8.00/6.12 tff(26515,plain,
% 8.00/6.12 ((~((~v182(constB169)) <=> v183(constB169))) | (~v182(constB169)) | (~v183(constB169))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26516,plain,
% 8.00/6.12 (~v182(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26515, 26514, 26456])).
% 8.00/6.12 tff(26517,plain,
% 8.00/6.12 (((~v157(constB169)) | (~v182(constB169))) | v182(constB169)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26518,plain,
% 8.00/6.12 ((~v157(constB169)) | (~v182(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26517, 26516])).
% 8.00/6.12 tff(26519,plain,
% 8.00/6.12 ((~(v181(constB169) <=> (~((~v157(constB169)) | (~v182(constB169)))))) | (~v181(constB169)) | (~((~v157(constB169)) | (~v182(constB169))))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26520,plain,
% 8.00/6.12 (~v181(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26519, 26518, 26454])).
% 8.00/6.12 tff(26521,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB169) <=> (~((~v186(constB169)) | (~v187(constB169)))))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26522,plain,
% 8.00/6.12 (v185(constB169) <=> (~((~v186(constB169)) | (~v187(constB169))))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26521, 96])).
% 8.00/6.12 tff(26523,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB169) <=> (~((~v184(constB169)) | (~v159(constB169)))))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26524,plain,
% 8.00/6.12 (v187(constB169) <=> (~((~v184(constB169)) | (~v159(constB169))))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26523, 108])).
% 8.00/6.12 tff(26525,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB169) <=> v161(constB169))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26526,plain,
% 8.00/6.12 (v159(constB169) <=> v161(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26525, 345])).
% 8.00/6.12 tff(26527,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB169) <=> (v145(constB169) | v165(constB169)))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26528,plain,
% 8.00/6.12 (v164(constB169) <=> (v145(constB169) | v165(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26527, 357])).
% 8.00/6.12 tff(26529,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB169) <=> (v142(constB169) | v166(constB169)))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26530,plain,
% 8.00/6.12 (v165(constB169) <=> (v142(constB169) | v166(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26529, 369])).
% 8.00/6.12 tff(26531,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB169) <=> (v143(constB169) | v144(constB169)))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26532,plain,
% 8.00/6.12 (v142(constB169) <=> (v143(constB169) | v144(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26531, 21792])).
% 8.00/6.12 tff(26533,plain,
% 8.00/6.12 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0)))))),
% 8.00/6.12 inference(rewrite,[status(thm)],[])).
% 8.00/6.12 tff(26534,plain,
% 8.00/6.12 ((v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2))))) <=> (v144(constB169) <=> (~((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0))))),
% 8.00/6.12 inference(rewrite,[status(thm)],[])).
% 8.00/6.12 tff(26535,plain,
% 8.00/6.12 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0)))))),
% 8.00/6.12 inference(monotonicity,[status(thm)],[26534])).
% 8.00/6.12 tff(26536,plain,
% 8.00/6.12 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0)))))),
% 8.00/6.12 inference(transitivity,[status(thm)],[26535, 26533])).
% 8.00/6.12 tff(26537,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~(v88(constB169, bitIndex0) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)))))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26538,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB169) <=> (~((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0))))),
% 8.00/6.12 inference(modus_ponens,[status(thm)],[26537, 26536])).
% 8.00/6.12 tff(26539,plain,
% 8.00/6.12 (v144(constB169) <=> (~((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0)))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26538, 21807])).
% 8.00/6.12 tff(26540,plain,
% 8.00/6.12 ((~![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))))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26541,plain,
% 8.00/6.12 (~(((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)) | ((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)) | ((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0)))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26540, 416])).
% 8.00/6.12 tff(26542,plain,
% 8.00/6.12 ((((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)) | ((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)) | ((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0))) | (~((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26543,plain,
% 8.00/6.12 (~((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26542, 26541])).
% 8.00/6.12 tff(26544,plain,
% 8.00/6.12 (((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)) | v88(constB169, bitIndex2) | (~v90(constB169, bitIndex2))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26545,plain,
% 8.00/6.12 (v88(constB169, bitIndex2)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26544, 20133, 26543])).
% 8.00/6.12 tff(26546,plain,
% 8.00/6.12 ((((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)) | ((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)) | ((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0))) | (~((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26547,plain,
% 8.00/6.12 (~((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26546, 26541])).
% 8.00/6.12 tff(26548,plain,
% 8.00/6.12 (((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0)) | (~v88(constB169, bitIndex0)) | v90(constB169, bitIndex0)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26549,plain,
% 8.00/6.12 (~v88(constB169, bitIndex0)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26548, 20284, 26547])).
% 8.00/6.12 tff(26550,plain,
% 8.00/6.12 ((((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)) | ((~v88(constB169, bitIndex2)) <=> v90(constB169, bitIndex2)) | ((~v88(constB169, bitIndex0)) <=> v90(constB169, bitIndex0))) | (~((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26551,plain,
% 8.00/6.12 (~((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26550, 26541])).
% 8.00/6.12 tff(26552,plain,
% 8.00/6.12 (((~v88(constB169, bitIndex1)) <=> v90(constB169, bitIndex1)) | v88(constB169, bitIndex1) | (~v90(constB169, bitIndex1))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26553,plain,
% 8.00/6.12 (v88(constB169, bitIndex1)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26552, 20162, 26551])).
% 8.00/6.12 tff(26554,plain,
% 8.00/6.12 ((~((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0))) | (~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26555,plain,
% 8.00/6.12 (~((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26554, 26553, 26549, 26545])).
% 8.00/6.12 tff(26556,plain,
% 8.00/6.12 ((~(v144(constB169) <=> (~((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0))))) | v144(constB169) | ((~v88(constB169, bitIndex1)) | (~v88(constB169, bitIndex2)) | v88(constB169, bitIndex0))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26557,plain,
% 8.00/6.12 (v144(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26556, 26555, 26539])).
% 8.00/6.12 tff(26558,plain,
% 8.00/6.12 ((v143(constB169) | v144(constB169)) | (~v144(constB169))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26559,plain,
% 8.00/6.12 (v143(constB169) | v144(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26558, 26557])).
% 8.00/6.12 tff(26560,plain,
% 8.00/6.12 ((~(v142(constB169) <=> (v143(constB169) | v144(constB169)))) | v142(constB169) | (~(v143(constB169) | v144(constB169)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26561,plain,
% 8.00/6.12 (v142(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26560, 26559, 26532])).
% 8.00/6.12 tff(26562,plain,
% 8.00/6.12 ((v142(constB169) | v166(constB169)) | (~v142(constB169))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26563,plain,
% 8.00/6.12 (v142(constB169) | v166(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26562, 26561])).
% 8.00/6.12 tff(26564,plain,
% 8.00/6.12 ((~(v165(constB169) <=> (v142(constB169) | v166(constB169)))) | v165(constB169) | (~(v142(constB169) | v166(constB169)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26565,plain,
% 8.00/6.12 ((~(v165(constB169) <=> (v142(constB169) | v166(constB169)))) | v165(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26564, 26563])).
% 8.00/6.12 tff(26566,plain,
% 8.00/6.12 (v165(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26565, 26530])).
% 8.00/6.12 tff(26567,plain,
% 8.00/6.12 ((v145(constB169) | v165(constB169)) | (~v165(constB169))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26568,plain,
% 8.00/6.12 (v145(constB169) | v165(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26567, 26566])).
% 8.00/6.12 tff(26569,plain,
% 8.00/6.12 ((~(v164(constB169) <=> (v145(constB169) | v165(constB169)))) | v164(constB169) | (~(v145(constB169) | v165(constB169)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26570,plain,
% 8.00/6.12 (v164(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26569, 26568, 26528])).
% 8.00/6.12 tff(26571,plain,
% 8.00/6.12 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB169)) | (v161(constB169) <=> v168(constB169)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB169)) | (v161(constB169) <=> v168(constB169)))),
% 8.00/6.12 inference(rewrite,[status(thm)],[])).
% 8.00/6.12 tff(26572,plain,
% 8.00/6.12 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB169)) | (v161(constB169) <=> v168(constB169)))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26573,plain,
% 8.00/6.12 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB169)) | (v161(constB169) <=> v168(constB169))),
% 8.00/6.12 inference(modus_ponens,[status(thm)],[26572, 26571])).
% 8.00/6.12 tff(26574,plain,
% 8.00/6.12 ((~v164(constB169)) | (v161(constB169) <=> v168(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26573, 12128])).
% 8.00/6.12 tff(26575,plain,
% 8.00/6.12 (v161(constB169) <=> v168(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26574, 26570])).
% 8.00/6.12 tff(26576,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2))))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26577,plain,
% 8.00/6.12 (v139(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2)))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26576, 12146])).
% 8.00/6.12 tff(26578,plain,
% 8.00/6.12 ((v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2)) | (~v88(constB169, bitIndex2))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26579,plain,
% 8.00/6.12 (v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26578, 26545])).
% 8.00/6.12 tff(26580,plain,
% 8.00/6.12 ((~(v139(constB169) <=> (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2))))) | (~v139(constB169)) | (~(v88(constB169, bitIndex0) | v88(constB169, bitIndex1) | v88(constB169, bitIndex2)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26581,plain,
% 8.00/6.12 (~v139(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26580, 26579, 26577])).
% 8.00/6.12 tff(26582,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB169) <=> (~(v88(constB169, bitIndex1) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex0)))))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26583,plain,
% 8.00/6.12 (v140(constB169) <=> (~(v88(constB169, bitIndex1) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex0))))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26582, 12165])).
% 8.00/6.12 tff(26584,plain,
% 8.00/6.12 ((v88(constB169, bitIndex1) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex0))) | (~v88(constB169, bitIndex2))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26585,plain,
% 8.00/6.12 (v88(constB169, bitIndex1) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex0))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26584, 26545])).
% 8.00/6.12 tff(26586,plain,
% 8.00/6.12 ((~(v140(constB169) <=> (~(v88(constB169, bitIndex1) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex0)))))) | (~v140(constB169)) | (~(v88(constB169, bitIndex1) | v88(constB169, bitIndex2) | (~v88(constB169, bitIndex0))))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26587,plain,
% 8.00/6.12 (~v140(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26586, 26585, 26583])).
% 8.00/6.12 tff(26588,plain,
% 8.00/6.12 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB169) | v140(constB169) | (~v168(constB169)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB169) | v140(constB169) | (~v168(constB169)))),
% 8.00/6.12 inference(rewrite,[status(thm)],[])).
% 8.00/6.12 tff(26589,plain,
% 8.00/6.12 ((v140(constB169) | v139(constB169) | (~v168(constB169))) <=> (v139(constB169) | v140(constB169) | (~v168(constB169)))),
% 8.00/6.12 inference(rewrite,[status(thm)],[])).
% 8.00/6.12 tff(26590,plain,
% 8.00/6.12 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB169) | v139(constB169) | (~v168(constB169)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB169) | v140(constB169) | (~v168(constB169))))),
% 8.00/6.12 inference(monotonicity,[status(thm)],[26589])).
% 8.00/6.12 tff(26591,plain,
% 8.00/6.12 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB169) | v139(constB169) | (~v168(constB169)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB169) | v140(constB169) | (~v168(constB169)))),
% 8.00/6.12 inference(transitivity,[status(thm)],[26590, 26588])).
% 8.00/6.12 tff(26592,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB169) | v139(constB169) | (~v168(constB169)))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26593,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB169) | v140(constB169) | (~v168(constB169))),
% 8.00/6.12 inference(modus_ponens,[status(thm)],[26592, 26591])).
% 8.00/6.12 tff(26594,plain,
% 8.00/6.12 (v139(constB169) | v140(constB169) | (~v168(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26593, 12184])).
% 8.00/6.12 tff(26595,plain,
% 8.00/6.12 (~v168(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26594, 26587, 26581])).
% 8.00/6.12 tff(26596,plain,
% 8.00/6.12 ((~(v161(constB169) <=> v168(constB169))) | (~v161(constB169)) | v168(constB169)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26597,plain,
% 8.00/6.12 ((~(v161(constB169) <=> v168(constB169))) | (~v161(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26596, 26595])).
% 8.00/6.12 tff(26598,plain,
% 8.00/6.12 (~v161(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26597, 26575])).
% 8.00/6.12 tff(26599,plain,
% 8.00/6.12 ((~(v159(constB169) <=> v161(constB169))) | (~v159(constB169)) | v161(constB169)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26600,plain,
% 8.00/6.12 ((~(v159(constB169) <=> v161(constB169))) | (~v159(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26599, 26598])).
% 8.00/6.12 tff(26601,plain,
% 8.00/6.12 (~v159(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26600, 26526])).
% 8.00/6.12 tff(26602,plain,
% 8.00/6.12 (((~v184(constB169)) | (~v159(constB169))) | v159(constB169)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26603,plain,
% 8.00/6.12 ((~v184(constB169)) | (~v159(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26602, 26601])).
% 8.00/6.12 tff(26604,plain,
% 8.00/6.12 ((~(v187(constB169) <=> (~((~v184(constB169)) | (~v159(constB169)))))) | (~v187(constB169)) | (~((~v184(constB169)) | (~v159(constB169))))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26605,plain,
% 8.00/6.12 (~v187(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26604, 26603, 26524])).
% 8.00/6.12 tff(26606,plain,
% 8.00/6.12 (((~v186(constB169)) | (~v187(constB169))) | v187(constB169)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26607,plain,
% 8.00/6.12 ((~v186(constB169)) | (~v187(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26606, 26605])).
% 8.00/6.12 tff(26608,plain,
% 8.00/6.12 ((~(v185(constB169) <=> (~((~v186(constB169)) | (~v187(constB169)))))) | (~v185(constB169)) | (~((~v186(constB169)) | (~v187(constB169))))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26609,plain,
% 8.00/6.12 (~v185(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26608, 26607, 26522])).
% 8.00/6.12 tff(26610,plain,
% 8.00/6.12 ((~(v181(constB169) | v185(constB169))) | v181(constB169) | v185(constB169)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26611,plain,
% 8.00/6.12 (~(v181(constB169) | v185(constB169))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26610, 26609, 26520])).
% 8.00/6.12 tff(26612,plain,
% 8.00/6.12 ((~(v178(constB169) <=> (v181(constB169) | v185(constB169)))) | (~v178(constB169)) | (v181(constB169) | v185(constB169))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26613,plain,
% 8.00/6.12 (~v178(constB169)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26612, 26611, 26447])).
% 8.00/6.12 tff(26614,plain,
% 8.00/6.12 ((~(v180(constB170) <=> v178(constB169))) | (~v180(constB170)) | v178(constB169)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26615,plain,
% 8.00/6.12 (~v180(constB170)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26614, 26613, 26445])).
% 8.00/6.12 tff(26616,plain,
% 8.00/6.12 ((~(v157(constB170) <=> v180(constB170))) | (~v157(constB170)) | v180(constB170)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26617,plain,
% 8.00/6.12 (~v157(constB170)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26616, 26615, 26441])).
% 8.00/6.12 tff(26618,plain,
% 8.00/6.12 (((~v157(constB170)) | (~v182(constB170))) | v157(constB170)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26619,plain,
% 8.00/6.12 ((~v157(constB170)) | (~v182(constB170))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26618, 26617])).
% 8.00/6.12 tff(26620,plain,
% 8.00/6.12 ((~(v181(constB170) <=> (~((~v157(constB170)) | (~v182(constB170)))))) | (~v181(constB170)) | (~((~v157(constB170)) | (~v182(constB170))))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26621,plain,
% 8.00/6.12 (~v181(constB170)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26620, 26619, 26439])).
% 8.00/6.12 tff(26622,plain,
% 8.00/6.12 ((~(v181(constB170) | v185(constB170))) | v181(constB170) | v185(constB170)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26623,plain,
% 8.00/6.12 (~(v181(constB170) | v185(constB170))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26622, 26621, 26432])).
% 8.00/6.12 tff(26624,plain,
% 8.00/6.12 ((~(v178(constB170) <=> (v181(constB170) | v185(constB170)))) | (~v178(constB170)) | (v181(constB170) | v185(constB170))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26625,plain,
% 8.00/6.12 (~v178(constB170)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26624, 26623, 26407])).
% 8.00/6.12 tff(26626,plain,
% 8.00/6.12 ((~(v180(constB171) <=> v178(constB170))) | (~v180(constB171)) | v178(constB170)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26627,plain,
% 8.00/6.12 (~v180(constB171)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26626, 26625, 26405])).
% 8.00/6.12 tff(26628,plain,
% 8.00/6.12 ($false),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26627, 26401])).
% 8.00/6.12 tff(26629,plain,(~(constB171 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.00/6.12 tff(26630,assumption,(constB77 = VarCurr!0), introduced(assumption)).
% 8.00/6.12 tff(26631,plain,
% 8.00/6.12 (v86(constB77) <=> v86(VarCurr!0)),
% 8.00/6.12 inference(monotonicity,[status(thm)],[26630])).
% 8.00/6.12 tff(26632,plain,
% 8.00/6.12 (v86(VarCurr!0) <=> v86(constB77)),
% 8.00/6.12 inference(symmetry,[status(thm)],[26631])).
% 8.00/6.12 tff(26633,plain,
% 8.00/6.12 ((~v86(VarCurr!0)) <=> (~v86(constB77))),
% 8.00/6.12 inference(monotonicity,[status(thm)],[26632])).
% 8.00/6.12 tff(26634,plain,
% 8.00/6.12 (~v86(constB77)),
% 8.00/6.12 inference(modus_ponens,[status(thm)],[21766, 26633])).
% 8.00/6.12 tff(26635,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB77) <=> (v136(constB77) | v145(constB77)))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26636,plain,
% 8.00/6.12 (v135(constB77) <=> (v136(constB77) | v145(constB77))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26635, 21774])).
% 8.00/6.12 tff(26637,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB77) <=> (v137(constB77) | v142(constB77)))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26638,plain,
% 8.00/6.12 (v136(constB77) <=> (v137(constB77) | v142(constB77))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26637, 21783])).
% 8.00/6.12 tff(26639,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB77) <=> (v143(constB77) | v144(constB77)))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26640,plain,
% 8.00/6.12 (v142(constB77) <=> (v143(constB77) | v144(constB77))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26639, 21792])).
% 8.00/6.12 tff(26641,plain,
% 8.00/6.12 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~((~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~((~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0)))))),
% 8.00/6.12 inference(rewrite,[status(thm)],[])).
% 8.00/6.12 tff(26642,plain,
% 8.00/6.12 ((v143(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1))))) <=> (v143(constB77) <=> (~((~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0))))),
% 8.00/6.12 inference(rewrite,[status(thm)],[])).
% 8.00/6.12 tff(26643,plain,
% 8.00/6.12 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~((~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0)))))),
% 8.00/6.12 inference(monotonicity,[status(thm)],[26642])).
% 8.00/6.12 tff(26644,plain,
% 8.00/6.12 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~((~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0)))))),
% 8.00/6.12 inference(transitivity,[status(thm)],[26643, 26641])).
% 8.00/6.12 tff(26645,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex1)))))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26646,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB77) <=> (~((~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0))))),
% 8.00/6.12 inference(modus_ponens,[status(thm)],[26645, 26644])).
% 8.00/6.12 tff(26647,plain,
% 8.00/6.12 (v143(constB77) <=> (~((~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0)))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26646, 23745])).
% 8.00/6.12 tff(26648,plain,
% 8.00/6.12 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB77, bitIndex1)) <=> v90(constB77, bitIndex1)) | ((~v88(constB77, bitIndex2)) <=> v90(constB77, bitIndex2)) | ((~v88(constB77, bitIndex0)) <=> v90(constB77, bitIndex0))))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26649,plain,
% 8.00/6.12 (~(((~v88(constB77, bitIndex1)) <=> v90(constB77, bitIndex1)) | ((~v88(constB77, bitIndex2)) <=> v90(constB77, bitIndex2)) | ((~v88(constB77, bitIndex0)) <=> v90(constB77, bitIndex0)))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26648, 416])).
% 8.00/6.12 tff(26650,plain,
% 8.00/6.12 ((((~v88(constB77, bitIndex1)) <=> v90(constB77, bitIndex1)) | ((~v88(constB77, bitIndex2)) <=> v90(constB77, bitIndex2)) | ((~v88(constB77, bitIndex0)) <=> v90(constB77, bitIndex0))) | (~((~v88(constB77, bitIndex2)) <=> v90(constB77, bitIndex2)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26651,plain,
% 8.00/6.12 (~((~v88(constB77, bitIndex2)) <=> v90(constB77, bitIndex2))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26650, 26649])).
% 8.00/6.12 tff(26652,plain,
% 8.00/6.12 (((~v88(constB77, bitIndex2)) <=> v90(constB77, bitIndex2)) | (~v88(constB77, bitIndex2)) | v90(constB77, bitIndex2)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26653,plain,
% 8.00/6.12 (~v88(constB77, bitIndex2)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26652, 10027, 26651])).
% 8.00/6.12 tff(26654,plain,
% 8.00/6.12 ((((~v88(constB77, bitIndex1)) <=> v90(constB77, bitIndex1)) | ((~v88(constB77, bitIndex2)) <=> v90(constB77, bitIndex2)) | ((~v88(constB77, bitIndex0)) <=> v90(constB77, bitIndex0))) | (~((~v88(constB77, bitIndex0)) <=> v90(constB77, bitIndex0)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26655,plain,
% 8.00/6.12 (~((~v88(constB77, bitIndex0)) <=> v90(constB77, bitIndex0))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26654, 26649])).
% 8.00/6.12 tff(26656,plain,
% 8.00/6.12 (((~v88(constB77, bitIndex0)) <=> v90(constB77, bitIndex0)) | (~v88(constB77, bitIndex0)) | v90(constB77, bitIndex0)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26657,plain,
% 8.00/6.12 (~v88(constB77, bitIndex0)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26656, 10045, 26655])).
% 8.00/6.12 tff(26658,plain,
% 8.00/6.12 ((((~v88(constB77, bitIndex1)) <=> v90(constB77, bitIndex1)) | ((~v88(constB77, bitIndex2)) <=> v90(constB77, bitIndex2)) | ((~v88(constB77, bitIndex0)) <=> v90(constB77, bitIndex0))) | (~((~v88(constB77, bitIndex1)) <=> v90(constB77, bitIndex1)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26659,plain,
% 8.00/6.12 (~((~v88(constB77, bitIndex1)) <=> v90(constB77, bitIndex1))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26658, 26649])).
% 8.00/6.12 tff(26660,plain,
% 8.00/6.12 (((~v88(constB77, bitIndex1)) <=> v90(constB77, bitIndex1)) | v88(constB77, bitIndex1) | (~v90(constB77, bitIndex1))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26661,plain,
% 8.00/6.12 (v88(constB77, bitIndex1)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26660, 10063, 26659])).
% 8.00/6.12 tff(26662,plain,
% 8.00/6.12 ((~((~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0))) | (~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0)),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26663,plain,
% 8.00/6.12 (~((~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0))),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26662, 26661, 26657, 26653])).
% 8.00/6.12 tff(26664,plain,
% 8.00/6.12 ((~(v143(constB77) <=> (~((~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0))))) | v143(constB77) | ((~v88(constB77, bitIndex1)) | v88(constB77, bitIndex2) | v88(constB77, bitIndex0))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26665,plain,
% 8.00/6.12 (v143(constB77)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26664, 26663, 26647])).
% 8.00/6.12 tff(26666,plain,
% 8.00/6.12 ((v143(constB77) | v144(constB77)) | (~v143(constB77))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26667,plain,
% 8.00/6.12 (v143(constB77) | v144(constB77)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26666, 26665])).
% 8.00/6.12 tff(26668,plain,
% 8.00/6.12 ((~(v142(constB77) <=> (v143(constB77) | v144(constB77)))) | v142(constB77) | (~(v143(constB77) | v144(constB77)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26669,plain,
% 8.00/6.12 (v142(constB77)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26668, 26667, 26640])).
% 8.00/6.12 tff(26670,plain,
% 8.00/6.12 ((v137(constB77) | v142(constB77)) | (~v142(constB77))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26671,plain,
% 8.00/6.12 (v137(constB77) | v142(constB77)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26670, 26669])).
% 8.00/6.12 tff(26672,plain,
% 8.00/6.12 ((~(v136(constB77) <=> (v137(constB77) | v142(constB77)))) | v136(constB77) | (~(v137(constB77) | v142(constB77)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26673,plain,
% 8.00/6.12 ((~(v136(constB77) <=> (v137(constB77) | v142(constB77)))) | v136(constB77)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26672, 26671])).
% 8.00/6.12 tff(26674,plain,
% 8.00/6.12 (v136(constB77)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26673, 26638])).
% 8.00/6.12 tff(26675,plain,
% 8.00/6.12 ((v136(constB77) | v145(constB77)) | (~v136(constB77))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26676,plain,
% 8.00/6.12 (v136(constB77) | v145(constB77)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26675, 26674])).
% 8.00/6.12 tff(26677,plain,
% 8.00/6.12 ((~(v135(constB77) <=> (v136(constB77) | v145(constB77)))) | v135(constB77) | (~(v136(constB77) | v145(constB77)))),
% 8.00/6.12 inference(tautology,[status(thm)],[])).
% 8.00/6.12 tff(26678,plain,
% 8.00/6.12 (v135(constB77)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26677, 26676, 26636])).
% 8.00/6.12 tff(26679,plain,
% 8.00/6.12 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB77)) | (v86(constB77) <=> v148(constB77)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB77)) | (v86(constB77) <=> v148(constB77)))),
% 8.00/6.12 inference(rewrite,[status(thm)],[])).
% 8.00/6.12 tff(26680,plain,
% 8.00/6.12 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB77)) | (v86(constB77) <=> v148(constB77)))),
% 8.00/6.12 inference(quant_inst,[status(thm)],[])).
% 8.00/6.12 tff(26681,plain,
% 8.00/6.12 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB77)) | (v86(constB77) <=> v148(constB77))),
% 8.00/6.12 inference(modus_ponens,[status(thm)],[26680, 26679])).
% 8.00/6.12 tff(26682,plain,
% 8.00/6.12 (v86(constB77) <=> v148(constB77)),
% 8.00/6.12 inference(unit_resolution,[status(thm)],[26681, 21855, 26678])).
% 8.00/6.12 tff(26683,plain,
% 8.00/6.12 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB77) | (~v142(constB77)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB77) | (~v142(constB77)))),
% 8.00/6.12 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26684,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB77) | (~v142(constB77)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26685,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB77) | (~v142(constB77))),
% 8.00/6.13 inference(modus_ponens,[status(thm)],[26684, 26683])).
% 8.00/6.13 tff(26686,plain,
% 8.00/6.13 (v148(constB77)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26685, 21869, 26669])).
% 8.00/6.13 tff(26687,plain,
% 8.00/6.13 ((~(v86(constB77) <=> v148(constB77))) | v86(constB77) | (~v148(constB77))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26688,plain,
% 8.00/6.13 ((~(v86(constB77) <=> v148(constB77))) | v86(constB77)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26687, 26686])).
% 8.00/6.13 tff(26689,plain,
% 8.00/6.13 (v86(constB77)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26688, 26682])).
% 8.00/6.13 tff(26690,plain,
% 8.00/6.13 ($false),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26689, 26634])).
% 8.00/6.13 tff(26691,plain,(~(constB77 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.00/6.13 tff(26692,assumption,(constB69 = VarCurr!0), introduced(assumption)).
% 8.00/6.13 tff(26693,plain,
% 8.00/6.13 (v180(constB69) <=> v180(VarCurr!0)),
% 8.00/6.13 inference(monotonicity,[status(thm)],[26692])).
% 8.00/6.13 tff(26694,plain,
% 8.00/6.13 (v180(VarCurr!0) <=> v180(constB69)),
% 8.00/6.13 inference(symmetry,[status(thm)],[26693])).
% 8.00/6.13 tff(26695,plain,
% 8.00/6.13 (v180(constB69)),
% 8.00/6.13 inference(modus_ponens,[status(thm)],[59, 26694])).
% 8.00/6.13 tff(26696,plain,
% 8.00/6.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB68, constB69)) | (v180(constB69) <=> v178(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB68, constB69)) | (v180(constB69) <=> v178(constB68)))),
% 8.00/6.13 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26697,plain,
% 8.00/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB68, constB69)) | (v180(constB69) <=> v178(constB68)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26698,plain,
% 8.00/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB68, constB69)) | (v180(constB69) <=> v178(constB68))),
% 8.00/6.13 inference(modus_ponens,[status(thm)],[26697, 26696])).
% 8.00/6.13 tff(26699,plain,
% 8.00/6.13 (v180(constB69) <=> v178(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26698, 1675, 70])).
% 8.00/6.13 tff(26700,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB68) <=> (v181(constB68) | v185(constB68)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26701,plain,
% 8.00/6.13 (v178(constB68) <=> (v181(constB68) | v185(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26700, 84])).
% 8.00/6.13 tff(26702,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB68) <=> (~((~v186(constB68)) | (~v187(constB68)))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26703,plain,
% 8.00/6.13 (v185(constB68) <=> (~((~v186(constB68)) | (~v187(constB68))))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26702, 96])).
% 8.00/6.13 tff(26704,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB68) <=> (~((~v184(constB68)) | (~v159(constB68)))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26705,plain,
% 8.00/6.13 (v187(constB68) <=> (~((~v184(constB68)) | (~v159(constB68))))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26704, 108])).
% 8.00/6.13 tff(26706,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26707,plain,
% 8.00/6.13 (v184(constB68) <=> (~((~v39(constB68)) | (~v9(constB68))))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26706, 120])).
% 8.00/6.13 tff(26708,plain,
% 8.00/6.13 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB68)) <=> v1(constB68))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26709,plain,
% 8.00/6.13 ((~v39(constB68)) <=> v1(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26708, 129])).
% 8.00/6.13 tff(26710,plain,
% 8.00/6.13 ((~((~v39(constB68)) <=> v1(constB68))) | (~v39(constB68)) | (~v1(constB68))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26711,plain,
% 8.00/6.13 ((~((~v39(constB68)) <=> v1(constB68))) | (~v39(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26710, 9328])).
% 8.00/6.13 tff(26712,plain,
% 8.00/6.13 (~v39(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26711, 26709])).
% 8.00/6.13 tff(26713,plain,
% 8.00/6.13 (((~v39(constB68)) | (~v9(constB68))) | v39(constB68)),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26714,plain,
% 8.00/6.13 ((~v39(constB68)) | (~v9(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26713, 26712])).
% 8.00/6.13 tff(26715,plain,
% 8.00/6.13 ((~(v184(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))) | (~v184(constB68)) | (~((~v39(constB68)) | (~v9(constB68))))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26716,plain,
% 8.00/6.13 ((~(v184(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))) | (~v184(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26715, 26714])).
% 8.00/6.13 tff(26717,plain,
% 8.00/6.13 (~v184(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26716, 26707])).
% 8.00/6.13 tff(26718,plain,
% 8.00/6.13 (((~v184(constB68)) | (~v159(constB68))) | v184(constB68)),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26719,plain,
% 8.00/6.13 ((~v184(constB68)) | (~v159(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26718, 26717])).
% 8.00/6.13 tff(26720,plain,
% 8.00/6.13 ((~(v187(constB68) <=> (~((~v184(constB68)) | (~v159(constB68)))))) | (~v187(constB68)) | (~((~v184(constB68)) | (~v159(constB68))))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26721,plain,
% 8.00/6.13 ((~(v187(constB68) <=> (~((~v184(constB68)) | (~v159(constB68)))))) | (~v187(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26720, 26719])).
% 8.00/6.13 tff(26722,plain,
% 8.00/6.13 (~v187(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26721, 26705])).
% 8.00/6.13 tff(26723,plain,
% 8.00/6.13 (((~v186(constB68)) | (~v187(constB68))) | v187(constB68)),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26724,plain,
% 8.00/6.13 ((~v186(constB68)) | (~v187(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26723, 26722])).
% 8.00/6.13 tff(26725,plain,
% 8.00/6.13 ((~(v185(constB68) <=> (~((~v186(constB68)) | (~v187(constB68)))))) | (~v185(constB68)) | (~((~v186(constB68)) | (~v187(constB68))))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26726,plain,
% 8.00/6.13 (~v185(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26725, 26724, 26703])).
% 8.00/6.13 tff(26727,plain,
% 8.00/6.13 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68))))))),
% 8.00/6.13 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26728,plain,
% 8.00/6.13 ((v181(constB68) <=> (~((~v182(constB68)) | (~v157(constB68))))) <=> (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68)))))),
% 8.00/6.13 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26729,plain,
% 8.00/6.13 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v182(constB68)) | (~v157(constB68)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68))))))),
% 8.00/6.13 inference(monotonicity,[status(thm)],[26728])).
% 8.00/6.13 tff(26730,plain,
% 8.00/6.13 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v182(constB68)) | (~v157(constB68)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68))))))),
% 8.00/6.13 inference(transitivity,[status(thm)],[26729, 26727])).
% 8.00/6.13 tff(26731,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v182(constB68)) | (~v157(constB68)))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26732,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68)))))),
% 8.00/6.13 inference(modus_ponens,[status(thm)],[26731, 26730])).
% 8.00/6.13 tff(26733,plain,
% 8.00/6.13 (v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68))))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26732, 161])).
% 8.00/6.13 tff(26734,plain,
% 8.00/6.13 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB68) <=> v180(constB68))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26735,plain,
% 8.00/6.13 (v157(constB68) <=> v180(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26734, 13])).
% 8.00/6.13 tff(26736,plain,
% 8.00/6.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB67, constB68)) | (v180(constB68) <=> v178(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB67, constB68)) | (v180(constB68) <=> v178(constB67)))),
% 8.00/6.13 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26737,plain,
% 8.00/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB67, constB68)) | (v180(constB68) <=> v178(constB67)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26738,plain,
% 8.00/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB67, constB68)) | (v180(constB68) <=> v178(constB67))),
% 8.00/6.13 inference(modus_ponens,[status(thm)],[26737, 26736])).
% 8.00/6.13 tff(26739,plain,
% 8.00/6.13 (v180(constB68) <=> v178(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26738, 1711, 70])).
% 8.00/6.13 tff(26740,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB67) <=> (v181(constB67) | v185(constB67)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26741,plain,
% 8.00/6.13 (v178(constB67) <=> (v181(constB67) | v185(constB67))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26740, 84])).
% 8.00/6.13 tff(26742,plain,
% 8.00/6.13 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67))))))),
% 8.00/6.13 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26743,plain,
% 8.00/6.13 ((v181(constB67) <=> (~((~v182(constB67)) | (~v157(constB67))))) <=> (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67)))))),
% 8.00/6.13 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26744,plain,
% 8.00/6.13 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v182(constB67)) | (~v157(constB67)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67))))))),
% 8.00/6.13 inference(monotonicity,[status(thm)],[26743])).
% 8.00/6.13 tff(26745,plain,
% 8.00/6.13 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v182(constB67)) | (~v157(constB67)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67))))))),
% 8.00/6.13 inference(transitivity,[status(thm)],[26744, 26742])).
% 8.00/6.13 tff(26746,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v182(constB67)) | (~v157(constB67)))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26747,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67)))))),
% 8.00/6.13 inference(modus_ponens,[status(thm)],[26746, 26745])).
% 8.00/6.13 tff(26748,plain,
% 8.00/6.13 (v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67))))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26747, 161])).
% 8.00/6.13 tff(26749,plain,
% 8.00/6.13 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB67)) <=> v183(constB67))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26750,plain,
% 8.00/6.13 ((~v182(constB67)) <=> v183(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26749, 193])).
% 8.00/6.13 tff(26751,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB67) <=> (v184(constB67) | v26(constB67)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26752,plain,
% 8.00/6.13 (v183(constB67) <=> (v184(constB67) | v26(constB67))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26751, 202])).
% 8.00/6.13 tff(26753,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB67) <=> (~((~v39(constB67)) | (~v9(constB67)))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26754,plain,
% 8.00/6.13 (v184(constB67) <=> (~((~v39(constB67)) | (~v9(constB67))))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26753, 120])).
% 8.00/6.13 tff(26755,plain,
% 8.00/6.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67)))),
% 8.00/6.13 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26756,plain,
% 8.00/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26757,plain,
% 8.00/6.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67))),
% 8.00/6.13 inference(modus_ponens,[status(thm)],[26756, 26755])).
% 8.00/6.13 tff(26758,plain,
% 8.00/6.13 (v13(constB68) <=> v9(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26757, 1711, 216])).
% 8.00/6.13 tff(26759,plain,
% 8.00/6.13 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB68) <=> v13(constB68))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26760,plain,
% 8.00/6.13 (v6(constB68) <=> v13(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26759, 230])).
% 8.00/6.13 tff(26761,plain,
% 8.00/6.13 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB68)) <=> v6(constB68))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26762,plain,
% 8.00/6.13 ((~v21(constB68)) <=> v6(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26761, 239])).
% 8.00/6.13 tff(26763,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB68) <=> (v20(constB68) | v21(constB68)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26764,plain,
% 8.00/6.13 (v19(constB68) <=> (v20(constB68) | v21(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26763, 248])).
% 8.00/6.13 tff(26765,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68)))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26766,plain,
% 8.00/6.13 (v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68))))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26765, 260])).
% 8.00/6.13 tff(26767,plain,
% 8.00/6.13 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB68)) <=> v18(constB68))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26768,plain,
% 8.00/6.13 ((~v4(constB68)) <=> v18(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26767, 269])).
% 8.00/6.13 tff(26769,plain,
% 8.00/6.13 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB68)),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26770,plain,
% 8.00/6.13 (v4(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26769, 278])).
% 8.00/6.13 tff(26771,plain,
% 8.00/6.13 ((~((~v4(constB68)) <=> v18(constB68))) | (~v4(constB68)) | (~v18(constB68))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26772,plain,
% 8.00/6.13 (~v18(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26771, 26770, 26768])).
% 8.00/6.13 tff(26773,plain,
% 8.00/6.13 ((~(v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68)))))) | v18(constB68) | ((~v19(constB68)) | (~v22(constB68)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26774,plain,
% 8.00/6.13 ((~v19(constB68)) | (~v22(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26773, 26772, 26766])).
% 8.00/6.13 tff(26775,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB68) <=> (v1(constB68) | v6(constB68)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26776,plain,
% 8.00/6.13 (v22(constB68) <=> (v1(constB68) | v6(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26775, 291])).
% 8.00/6.13 tff(26777,plain,
% 8.00/6.13 ((v1(constB68) | v6(constB68)) | (~v1(constB68))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26778,plain,
% 8.00/6.13 (v1(constB68) | v6(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26777, 9328])).
% 8.00/6.13 tff(26779,plain,
% 8.00/6.13 ((~(v22(constB68) <=> (v1(constB68) | v6(constB68)))) | v22(constB68) | (~(v1(constB68) | v6(constB68)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26780,plain,
% 8.00/6.13 ((~(v22(constB68) <=> (v1(constB68) | v6(constB68)))) | v22(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26779, 26778])).
% 8.00/6.13 tff(26781,plain,
% 8.00/6.13 (v22(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26780, 26776])).
% 8.00/6.13 tff(26782,plain,
% 8.00/6.13 ((~((~v19(constB68)) | (~v22(constB68)))) | (~v19(constB68)) | (~v22(constB68))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26783,plain,
% 8.00/6.13 ((~((~v19(constB68)) | (~v22(constB68)))) | (~v19(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26782, 26781])).
% 8.00/6.13 tff(26784,plain,
% 8.00/6.13 (~v19(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26783, 26774])).
% 8.00/6.13 tff(26785,plain,
% 8.00/6.13 ((~(v19(constB68) <=> (v20(constB68) | v21(constB68)))) | v19(constB68) | (~(v20(constB68) | v21(constB68)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26786,plain,
% 8.00/6.13 (~(v20(constB68) | v21(constB68))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26785, 26784, 26764])).
% 8.00/6.13 tff(26787,plain,
% 8.00/6.13 ((v20(constB68) | v21(constB68)) | (~v21(constB68))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26788,plain,
% 8.00/6.13 (~v21(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26787, 26786])).
% 8.00/6.13 tff(26789,plain,
% 8.00/6.13 ((~((~v21(constB68)) <=> v6(constB68))) | v21(constB68) | v6(constB68)),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26790,plain,
% 8.00/6.13 (v6(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26789, 26788, 26762])).
% 8.00/6.13 tff(26791,plain,
% 8.00/6.13 ((~(v6(constB68) <=> v13(constB68))) | (~v6(constB68)) | v13(constB68)),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26792,plain,
% 8.00/6.13 (v13(constB68)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26791, 26790, 26760])).
% 8.00/6.13 tff(26793,plain,
% 8.00/6.13 ((~(v13(constB68) <=> v9(constB67))) | (~v13(constB68)) | v9(constB67)),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26794,plain,
% 8.00/6.13 (v9(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26793, 26792, 26758])).
% 8.00/6.13 tff(26795,plain,
% 8.00/6.13 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB67)) <=> v1(constB67))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26796,plain,
% 8.00/6.13 ((~v39(constB67)) <=> v1(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26795, 129])).
% 8.00/6.13 tff(26797,plain,
% 8.00/6.13 ((~((~v39(constB67)) <=> v1(constB67))) | v39(constB67) | v1(constB67)),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26798,plain,
% 8.00/6.13 ((~((~v39(constB67)) <=> v1(constB67))) | v39(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26797, 1755])).
% 8.00/6.13 tff(26799,plain,
% 8.00/6.13 (v39(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26798, 26796])).
% 8.00/6.13 tff(26800,plain,
% 8.00/6.13 ((~((~v39(constB67)) | (~v9(constB67)))) | (~v39(constB67)) | (~v9(constB67))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26801,plain,
% 8.00/6.13 ((~((~v39(constB67)) | (~v9(constB67)))) | (~v9(constB67))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26800, 26799])).
% 8.00/6.13 tff(26802,plain,
% 8.00/6.13 (~((~v39(constB67)) | (~v9(constB67)))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26801, 26794])).
% 8.00/6.13 tff(26803,plain,
% 8.00/6.13 ((~(v184(constB67) <=> (~((~v39(constB67)) | (~v9(constB67)))))) | v184(constB67) | ((~v39(constB67)) | (~v9(constB67)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26804,plain,
% 8.00/6.13 (v184(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26803, 26802, 26754])).
% 8.00/6.13 tff(26805,plain,
% 8.00/6.13 ((v184(constB67) | v26(constB67)) | (~v184(constB67))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26806,plain,
% 8.00/6.13 (v184(constB67) | v26(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26805, 26804])).
% 8.00/6.13 tff(26807,plain,
% 8.00/6.13 ((~(v183(constB67) <=> (v184(constB67) | v26(constB67)))) | v183(constB67) | (~(v184(constB67) | v26(constB67)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26808,plain,
% 8.00/6.13 (v183(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26807, 26806, 26752])).
% 8.00/6.13 tff(26809,plain,
% 8.00/6.13 ((~((~v182(constB67)) <=> v183(constB67))) | (~v182(constB67)) | (~v183(constB67))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26810,plain,
% 8.00/6.13 (~v182(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26809, 26808, 26750])).
% 8.00/6.13 tff(26811,plain,
% 8.00/6.13 (((~v157(constB67)) | (~v182(constB67))) | v182(constB67)),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26812,plain,
% 8.00/6.13 ((~v157(constB67)) | (~v182(constB67))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26811, 26810])).
% 8.00/6.13 tff(26813,plain,
% 8.00/6.13 ((~(v181(constB67) <=> (~((~v157(constB67)) | (~v182(constB67)))))) | (~v181(constB67)) | (~((~v157(constB67)) | (~v182(constB67))))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26814,plain,
% 8.00/6.13 (~v181(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26813, 26812, 26748])).
% 8.00/6.13 tff(26815,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB67) <=> (~((~v186(constB67)) | (~v187(constB67)))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26816,plain,
% 8.00/6.13 (v185(constB67) <=> (~((~v186(constB67)) | (~v187(constB67))))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26815, 96])).
% 8.00/6.13 tff(26817,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB67) <=> (~((~v184(constB67)) | (~v159(constB67)))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26818,plain,
% 8.00/6.13 (v187(constB67) <=> (~((~v184(constB67)) | (~v159(constB67))))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26817, 108])).
% 8.00/6.13 tff(26819,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB67) <=> v161(constB67))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26820,plain,
% 8.00/6.13 (v159(constB67) <=> v161(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26819, 345])).
% 8.00/6.13 tff(26821,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB67) <=> (v145(constB67) | v165(constB67)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26822,plain,
% 8.00/6.13 (v164(constB67) <=> (v145(constB67) | v165(constB67))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26821, 357])).
% 8.00/6.13 tff(26823,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB67) <=> (v142(constB67) | v166(constB67)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26824,plain,
% 8.00/6.13 (v165(constB67) <=> (v142(constB67) | v166(constB67))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26823, 369])).
% 8.00/6.13 tff(26825,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB67) <=> (v141(constB67) | v167(constB67)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26826,plain,
% 8.00/6.13 (v166(constB67) <=> (v141(constB67) | v167(constB67))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26825, 381])).
% 8.00/6.13 tff(26827,plain,
% 8.00/6.13 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB67) <=> (~((~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB67) <=> (~((~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0))))))),
% 8.00/6.13 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26828,plain,
% 8.00/6.13 ((v141(constB67) <=> (~(v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0))))) <=> (v141(constB67) <=> (~((~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))),
% 8.00/6.13 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26829,plain,
% 8.00/6.13 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB67) <=> (~(v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB67) <=> (~((~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0))))))),
% 8.00/6.13 inference(monotonicity,[status(thm)],[26828])).
% 8.00/6.13 tff(26830,plain,
% 8.00/6.13 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB67) <=> (~(v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB67) <=> (~((~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0))))))),
% 8.00/6.13 inference(transitivity,[status(thm)],[26829, 26827])).
% 8.00/6.13 tff(26831,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB67) <=> (~(v88(constB67, bitIndex2) | (~v88(constB67, bitIndex1)) | (~v88(constB67, bitIndex0)))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26832,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB67) <=> (~((~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))),
% 8.00/6.13 inference(modus_ponens,[status(thm)],[26831, 26830])).
% 8.00/6.13 tff(26833,plain,
% 8.00/6.13 (v141(constB67) <=> (~((~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0))))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26832, 396])).
% 8.00/6.13 tff(26834,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB67, bitIndex1)) <=> v90(constB67, bitIndex1)) | ((~v88(constB67, bitIndex2)) <=> v90(constB67, bitIndex2)) | ((~v88(constB67, bitIndex0)) <=> v90(constB67, bitIndex0))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26835,plain,
% 8.00/6.13 (~(((~v88(constB67, bitIndex1)) <=> v90(constB67, bitIndex1)) | ((~v88(constB67, bitIndex2)) <=> v90(constB67, bitIndex2)) | ((~v88(constB67, bitIndex0)) <=> v90(constB67, bitIndex0)))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26834, 416])).
% 8.00/6.13 tff(26836,plain,
% 8.00/6.13 ((((~v88(constB67, bitIndex1)) <=> v90(constB67, bitIndex1)) | ((~v88(constB67, bitIndex2)) <=> v90(constB67, bitIndex2)) | ((~v88(constB67, bitIndex0)) <=> v90(constB67, bitIndex0))) | (~((~v88(constB67, bitIndex2)) <=> v90(constB67, bitIndex2)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26837,plain,
% 8.00/6.13 (~((~v88(constB67, bitIndex2)) <=> v90(constB67, bitIndex2))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26836, 26835])).
% 8.00/6.13 tff(26838,plain,
% 8.00/6.13 (((~v88(constB67, bitIndex2)) <=> v90(constB67, bitIndex2)) | (~v88(constB67, bitIndex2)) | v90(constB67, bitIndex2)),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26839,plain,
% 8.00/6.13 (~v88(constB67, bitIndex2)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26838, 9250, 26837])).
% 8.00/6.13 tff(26840,plain,
% 8.00/6.13 ((((~v88(constB67, bitIndex1)) <=> v90(constB67, bitIndex1)) | ((~v88(constB67, bitIndex2)) <=> v90(constB67, bitIndex2)) | ((~v88(constB67, bitIndex0)) <=> v90(constB67, bitIndex0))) | (~((~v88(constB67, bitIndex0)) <=> v90(constB67, bitIndex0)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26841,plain,
% 8.00/6.13 (~((~v88(constB67, bitIndex0)) <=> v90(constB67, bitIndex0))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26840, 26835])).
% 8.00/6.13 tff(26842,plain,
% 8.00/6.13 (((~v88(constB67, bitIndex0)) <=> v90(constB67, bitIndex0)) | v88(constB67, bitIndex0) | (~v90(constB67, bitIndex0))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26843,plain,
% 8.00/6.13 (v88(constB67, bitIndex0)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26842, 9268, 26841])).
% 8.00/6.13 tff(26844,plain,
% 8.00/6.13 ((((~v88(constB67, bitIndex1)) <=> v90(constB67, bitIndex1)) | ((~v88(constB67, bitIndex2)) <=> v90(constB67, bitIndex2)) | ((~v88(constB67, bitIndex0)) <=> v90(constB67, bitIndex0))) | (~((~v88(constB67, bitIndex1)) <=> v90(constB67, bitIndex1)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26845,plain,
% 8.00/6.13 (~((~v88(constB67, bitIndex1)) <=> v90(constB67, bitIndex1))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26844, 26835])).
% 8.00/6.13 tff(26846,plain,
% 8.00/6.13 (((~v88(constB67, bitIndex1)) <=> v90(constB67, bitIndex1)) | v88(constB67, bitIndex1) | (~v90(constB67, bitIndex1))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26847,plain,
% 8.00/6.13 (v88(constB67, bitIndex1)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26846, 9286, 26845])).
% 8.00/6.13 tff(26848,plain,
% 8.00/6.13 ((~((~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))) | (~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26849,plain,
% 8.00/6.13 (~((~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26848, 26847, 26843, 26839])).
% 8.00/6.13 tff(26850,plain,
% 8.00/6.13 ((~(v141(constB67) <=> (~((~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))) | v141(constB67) | ((~v88(constB67, bitIndex1)) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26851,plain,
% 8.00/6.13 (v141(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26850, 26849, 26833])).
% 8.00/6.13 tff(26852,plain,
% 8.00/6.13 ((v141(constB67) | v167(constB67)) | (~v141(constB67))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26853,plain,
% 8.00/6.13 (v141(constB67) | v167(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26852, 26851])).
% 8.00/6.13 tff(26854,plain,
% 8.00/6.13 ((~(v166(constB67) <=> (v141(constB67) | v167(constB67)))) | v166(constB67) | (~(v141(constB67) | v167(constB67)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26855,plain,
% 8.00/6.13 (v166(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26854, 26853, 26826])).
% 8.00/6.13 tff(26856,plain,
% 8.00/6.13 ((v142(constB67) | v166(constB67)) | (~v166(constB67))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26857,plain,
% 8.00/6.13 (v142(constB67) | v166(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26856, 26855])).
% 8.00/6.13 tff(26858,plain,
% 8.00/6.13 ((~(v165(constB67) <=> (v142(constB67) | v166(constB67)))) | v165(constB67) | (~(v142(constB67) | v166(constB67)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26859,plain,
% 8.00/6.13 ((~(v165(constB67) <=> (v142(constB67) | v166(constB67)))) | v165(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26858, 26857])).
% 8.00/6.13 tff(26860,plain,
% 8.00/6.13 (v165(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26859, 26824])).
% 8.00/6.13 tff(26861,plain,
% 8.00/6.13 ((v145(constB67) | v165(constB67)) | (~v165(constB67))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26862,plain,
% 8.00/6.13 (v145(constB67) | v165(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26861, 26860])).
% 8.00/6.13 tff(26863,plain,
% 8.00/6.13 ((~(v164(constB67) <=> (v145(constB67) | v165(constB67)))) | v164(constB67) | (~(v145(constB67) | v165(constB67)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26864,plain,
% 8.00/6.13 (v164(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26863, 26862, 26822])).
% 8.00/6.13 tff(26865,plain,
% 8.00/6.13 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB67)) | (v161(constB67) <=> v168(constB67)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB67)) | (v161(constB67) <=> v168(constB67)))),
% 8.00/6.13 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26866,plain,
% 8.00/6.13 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB67)) | (v161(constB67) <=> v168(constB67)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26867,plain,
% 8.00/6.13 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB67)) | (v161(constB67) <=> v168(constB67))),
% 8.00/6.13 inference(modus_ponens,[status(thm)],[26866, 26865])).
% 8.00/6.13 tff(26868,plain,
% 8.00/6.13 ((~v164(constB67)) | (v161(constB67) <=> v168(constB67))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26867, 12128])).
% 8.00/6.13 tff(26869,plain,
% 8.00/6.13 (v161(constB67) <=> v168(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26868, 26864])).
% 8.00/6.13 tff(26870,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB67) <=> (~(v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26871,plain,
% 8.00/6.13 (v139(constB67) <=> (~(v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2)))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26870, 12146])).
% 8.00/6.13 tff(26872,plain,
% 8.00/6.13 ((v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2)) | (~v88(constB67, bitIndex0))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26873,plain,
% 8.00/6.13 (v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26872, 26843])).
% 8.00/6.13 tff(26874,plain,
% 8.00/6.13 ((~(v139(constB67) <=> (~(v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2))))) | (~v139(constB67)) | (~(v88(constB67, bitIndex0) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2)))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26875,plain,
% 8.00/6.13 (~v139(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26874, 26873, 26871])).
% 8.00/6.13 tff(26876,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB67) <=> (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26877,plain,
% 8.00/6.13 (v140(constB67) <=> (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0))))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26876, 12165])).
% 8.00/6.13 tff(26878,plain,
% 8.00/6.13 ((v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0))) | (~v88(constB67, bitIndex1))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26879,plain,
% 8.00/6.13 (v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26878, 26847])).
% 8.00/6.13 tff(26880,plain,
% 8.00/6.13 ((~(v140(constB67) <=> (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)))))) | (~v140(constB67)) | (~(v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0))))),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26881,plain,
% 8.00/6.13 (~v140(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26880, 26879, 26877])).
% 8.00/6.13 tff(26882,plain,
% 8.00/6.13 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB67) | v139(constB67) | (~v168(constB67)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB67) | v139(constB67) | (~v168(constB67)))),
% 8.00/6.13 inference(rewrite,[status(thm)],[])).
% 8.00/6.13 tff(26883,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB67) | v139(constB67) | (~v168(constB67)))),
% 8.00/6.13 inference(quant_inst,[status(thm)],[])).
% 8.00/6.13 tff(26884,plain,
% 8.00/6.13 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB67) | v139(constB67) | (~v168(constB67))),
% 8.00/6.13 inference(modus_ponens,[status(thm)],[26883, 26882])).
% 8.00/6.13 tff(26885,plain,
% 8.00/6.13 (v140(constB67) | v139(constB67) | (~v168(constB67))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26884, 12184])).
% 8.00/6.13 tff(26886,plain,
% 8.00/6.13 (~v168(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26885, 26881, 26875])).
% 8.00/6.13 tff(26887,plain,
% 8.00/6.13 ((~(v161(constB67) <=> v168(constB67))) | (~v161(constB67)) | v168(constB67)),
% 8.00/6.13 inference(tautology,[status(thm)],[])).
% 8.00/6.13 tff(26888,plain,
% 8.00/6.13 ((~(v161(constB67) <=> v168(constB67))) | (~v161(constB67))),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26887, 26886])).
% 8.00/6.13 tff(26889,plain,
% 8.00/6.13 (~v161(constB67)),
% 8.00/6.13 inference(unit_resolution,[status(thm)],[26888, 26869])).
% 8.00/6.14 tff(26890,plain,
% 8.00/6.14 ((~(v159(constB67) <=> v161(constB67))) | (~v159(constB67)) | v161(constB67)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26891,plain,
% 8.00/6.14 ((~(v159(constB67) <=> v161(constB67))) | (~v159(constB67))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26890, 26889])).
% 8.00/6.14 tff(26892,plain,
% 8.00/6.14 (~v159(constB67)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26891, 26820])).
% 8.00/6.14 tff(26893,plain,
% 8.00/6.14 (((~v184(constB67)) | (~v159(constB67))) | v159(constB67)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26894,plain,
% 8.00/6.14 ((~v184(constB67)) | (~v159(constB67))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26893, 26892])).
% 8.00/6.14 tff(26895,plain,
% 8.00/6.14 ((~(v187(constB67) <=> (~((~v184(constB67)) | (~v159(constB67)))))) | (~v187(constB67)) | (~((~v184(constB67)) | (~v159(constB67))))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26896,plain,
% 8.00/6.14 (~v187(constB67)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26895, 26894, 26818])).
% 8.00/6.14 tff(26897,plain,
% 8.00/6.14 (((~v186(constB67)) | (~v187(constB67))) | v187(constB67)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26898,plain,
% 8.00/6.14 ((~v186(constB67)) | (~v187(constB67))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26897, 26896])).
% 8.00/6.14 tff(26899,plain,
% 8.00/6.14 ((~(v185(constB67) <=> (~((~v186(constB67)) | (~v187(constB67)))))) | (~v185(constB67)) | (~((~v186(constB67)) | (~v187(constB67))))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26900,plain,
% 8.00/6.14 (~v185(constB67)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26899, 26898, 26816])).
% 8.00/6.14 tff(26901,plain,
% 8.00/6.14 ((~(v181(constB67) | v185(constB67))) | v181(constB67) | v185(constB67)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26902,plain,
% 8.00/6.14 (~(v181(constB67) | v185(constB67))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26901, 26900, 26814])).
% 8.00/6.14 tff(26903,plain,
% 8.00/6.14 ((~(v178(constB67) <=> (v181(constB67) | v185(constB67)))) | (~v178(constB67)) | (v181(constB67) | v185(constB67))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26904,plain,
% 8.00/6.14 (~v178(constB67)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26903, 26902, 26741])).
% 8.00/6.14 tff(26905,plain,
% 8.00/6.14 ((~(v180(constB68) <=> v178(constB67))) | (~v180(constB68)) | v178(constB67)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26906,plain,
% 8.00/6.14 (~v180(constB68)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26905, 26904, 26739])).
% 8.00/6.14 tff(26907,plain,
% 8.00/6.14 ((~(v157(constB68) <=> v180(constB68))) | (~v157(constB68)) | v180(constB68)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26908,plain,
% 8.00/6.14 (~v157(constB68)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26907, 26906, 26735])).
% 8.00/6.14 tff(26909,plain,
% 8.00/6.14 (((~v157(constB68)) | (~v182(constB68))) | v157(constB68)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26910,plain,
% 8.00/6.14 ((~v157(constB68)) | (~v182(constB68))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26909, 26908])).
% 8.00/6.14 tff(26911,plain,
% 8.00/6.14 ((~(v181(constB68) <=> (~((~v157(constB68)) | (~v182(constB68)))))) | (~v181(constB68)) | (~((~v157(constB68)) | (~v182(constB68))))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26912,plain,
% 8.00/6.14 (~v181(constB68)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26911, 26910, 26733])).
% 8.00/6.14 tff(26913,plain,
% 8.00/6.14 ((~(v181(constB68) | v185(constB68))) | v181(constB68) | v185(constB68)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26914,plain,
% 8.00/6.14 (~(v181(constB68) | v185(constB68))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26913, 26912, 26726])).
% 8.00/6.14 tff(26915,plain,
% 8.00/6.14 ((~(v178(constB68) <=> (v181(constB68) | v185(constB68)))) | (~v178(constB68)) | (v181(constB68) | v185(constB68))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26916,plain,
% 8.00/6.14 (~v178(constB68)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26915, 26914, 26701])).
% 8.00/6.14 tff(26917,plain,
% 8.00/6.14 ((~(v180(constB69) <=> v178(constB68))) | (~v180(constB69)) | v178(constB68)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26918,plain,
% 8.00/6.14 (~v180(constB69)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26917, 26916, 26699])).
% 8.00/6.14 tff(26919,plain,
% 8.00/6.14 ($false),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26918, 26695])).
% 8.00/6.14 tff(26920,plain,(~(constB69 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.00/6.14 tff(26921,assumption,(constB143 = VarCurr!0), introduced(assumption)).
% 8.00/6.14 tff(26922,plain,
% 8.00/6.14 (v180(constB143) <=> v180(VarCurr!0)),
% 8.00/6.14 inference(monotonicity,[status(thm)],[26921])).
% 8.00/6.14 tff(26923,plain,
% 8.00/6.14 (v180(VarCurr!0) <=> v180(constB143)),
% 8.00/6.14 inference(symmetry,[status(thm)],[26922])).
% 8.00/6.14 tff(26924,plain,
% 8.00/6.14 (v180(constB143)),
% 8.00/6.14 inference(modus_ponens,[status(thm)],[59, 26923])).
% 8.00/6.14 tff(26925,plain,
% 8.00/6.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB142, constB143)) | (v180(constB143) <=> v178(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB142, constB143)) | (v180(constB143) <=> v178(constB142)))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(26926,plain,
% 8.00/6.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB142, constB143)) | (v180(constB143) <=> v178(constB142)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26927,plain,
% 8.00/6.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB142, constB143)) | (v180(constB143) <=> v178(constB142))),
% 8.00/6.14 inference(modus_ponens,[status(thm)],[26926, 26925])).
% 8.00/6.14 tff(26928,plain,
% 8.00/6.14 (v180(constB143) <=> v178(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26927, 13793, 70])).
% 8.00/6.14 tff(26929,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB142) <=> (v181(constB142) | v185(constB142)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26930,plain,
% 8.00/6.14 (v178(constB142) <=> (v181(constB142) | v185(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26929, 84])).
% 8.00/6.14 tff(26931,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB142) <=> (~((~v186(constB142)) | (~v187(constB142)))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26932,plain,
% 8.00/6.14 (v185(constB142) <=> (~((~v186(constB142)) | (~v187(constB142))))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26931, 96])).
% 8.00/6.14 tff(26933,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB142) <=> (~((~v184(constB142)) | (~v159(constB142)))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26934,plain,
% 8.00/6.14 (v187(constB142) <=> (~((~v184(constB142)) | (~v159(constB142))))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26933, 108])).
% 8.00/6.14 tff(26935,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26936,plain,
% 8.00/6.14 (v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142))))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26935, 120])).
% 8.00/6.14 tff(26937,plain,
% 8.00/6.14 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB142)) <=> v1(constB142))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26938,plain,
% 8.00/6.14 ((~v39(constB142)) <=> v1(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26937, 129])).
% 8.00/6.14 tff(26939,plain,
% 8.00/6.14 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142)) | (~v1(constB142))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26940,plain,
% 8.00/6.14 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26939, 18064])).
% 8.00/6.14 tff(26941,plain,
% 8.00/6.14 (~v39(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26940, 26938])).
% 8.00/6.14 tff(26942,plain,
% 8.00/6.14 (((~v39(constB142)) | (~v9(constB142))) | v39(constB142)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26943,plain,
% 8.00/6.14 ((~v39(constB142)) | (~v9(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26942, 26941])).
% 8.00/6.14 tff(26944,plain,
% 8.00/6.14 ((~(v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v184(constB142)) | (~((~v39(constB142)) | (~v9(constB142))))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26945,plain,
% 8.00/6.14 ((~(v184(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v184(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26944, 26943])).
% 8.00/6.14 tff(26946,plain,
% 8.00/6.14 (~v184(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26945, 26936])).
% 8.00/6.14 tff(26947,plain,
% 8.00/6.14 (((~v184(constB142)) | (~v159(constB142))) | v184(constB142)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26948,plain,
% 8.00/6.14 ((~v184(constB142)) | (~v159(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26947, 26946])).
% 8.00/6.14 tff(26949,plain,
% 8.00/6.14 ((~(v187(constB142) <=> (~((~v184(constB142)) | (~v159(constB142)))))) | (~v187(constB142)) | (~((~v184(constB142)) | (~v159(constB142))))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26950,plain,
% 8.00/6.14 ((~(v187(constB142) <=> (~((~v184(constB142)) | (~v159(constB142)))))) | (~v187(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26949, 26948])).
% 8.00/6.14 tff(26951,plain,
% 8.00/6.14 (~v187(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26950, 26934])).
% 8.00/6.14 tff(26952,plain,
% 8.00/6.14 (((~v186(constB142)) | (~v187(constB142))) | v187(constB142)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26953,plain,
% 8.00/6.14 ((~v186(constB142)) | (~v187(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26952, 26951])).
% 8.00/6.14 tff(26954,plain,
% 8.00/6.14 ((~(v185(constB142) <=> (~((~v186(constB142)) | (~v187(constB142)))))) | (~v185(constB142)) | (~((~v186(constB142)) | (~v187(constB142))))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(26955,plain,
% 8.00/6.14 (~v185(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26954, 26953, 26932])).
% 8.00/6.14 tff(26956,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142))))))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(26957,plain,
% 8.00/6.14 ((v181(constB142) <=> (~((~v182(constB142)) | (~v157(constB142))))) <=> (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142)))))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(26958,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v182(constB142)) | (~v157(constB142)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142))))))),
% 8.00/6.14 inference(monotonicity,[status(thm)],[26957])).
% 8.00/6.14 tff(26959,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v182(constB142)) | (~v157(constB142)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142))))))),
% 8.00/6.14 inference(transitivity,[status(thm)],[26958, 26956])).
% 8.00/6.14 tff(26960,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v182(constB142)) | (~v157(constB142)))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26961,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142)))))),
% 8.00/6.14 inference(modus_ponens,[status(thm)],[26960, 26959])).
% 8.00/6.14 tff(26962,plain,
% 8.00/6.14 (v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142))))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26961, 161])).
% 8.00/6.14 tff(26963,plain,
% 8.00/6.14 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB142) <=> v180(constB142))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26964,plain,
% 8.00/6.14 (v157(constB142) <=> v180(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26963, 13])).
% 8.00/6.14 tff(26965,plain,
% 8.00/6.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB141, constB142)) | (v180(constB142) <=> v178(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB141, constB142)) | (v180(constB142) <=> v178(constB141)))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(26966,plain,
% 8.00/6.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB141, constB142)) | (v180(constB142) <=> v178(constB141)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26967,plain,
% 8.00/6.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB141, constB142)) | (v180(constB142) <=> v178(constB141))),
% 8.00/6.14 inference(modus_ponens,[status(thm)],[26966, 26965])).
% 8.00/6.14 tff(26968,plain,
% 8.00/6.14 (v180(constB142) <=> v178(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26967, 13829, 70])).
% 8.00/6.14 tff(26969,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB141) <=> (v181(constB141) | v185(constB141)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26970,plain,
% 8.00/6.14 (v178(constB141) <=> (v181(constB141) | v185(constB141))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26969, 84])).
% 8.00/6.14 tff(26971,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141))))))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(26972,plain,
% 8.00/6.14 ((v181(constB141) <=> (~((~v182(constB141)) | (~v157(constB141))))) <=> (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141)))))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(26973,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v182(constB141)) | (~v157(constB141)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141))))))),
% 8.00/6.14 inference(monotonicity,[status(thm)],[26972])).
% 8.00/6.14 tff(26974,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v182(constB141)) | (~v157(constB141)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141))))))),
% 8.00/6.14 inference(transitivity,[status(thm)],[26973, 26971])).
% 8.00/6.14 tff(26975,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v182(constB141)) | (~v157(constB141)))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26976,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141)))))),
% 8.00/6.14 inference(modus_ponens,[status(thm)],[26975, 26974])).
% 8.00/6.14 tff(26977,plain,
% 8.00/6.14 (v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141))))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26976, 161])).
% 8.00/6.14 tff(26978,plain,
% 8.00/6.14 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB141)) <=> v183(constB141))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26979,plain,
% 8.00/6.14 ((~v182(constB141)) <=> v183(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26978, 193])).
% 8.00/6.14 tff(26980,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB141) <=> (v184(constB141) | v26(constB141)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26981,plain,
% 8.00/6.14 (v183(constB141) <=> (v184(constB141) | v26(constB141))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26980, 202])).
% 8.00/6.14 tff(26982,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26983,plain,
% 8.00/6.14 (v184(constB141) <=> (~((~v39(constB141)) | (~v9(constB141))))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26982, 120])).
% 8.00/6.14 tff(26984,plain,
% 8.00/6.14 (((~![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)))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(26985,plain,
% 8.00/6.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26986,plain,
% 8.00/6.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141))),
% 8.00/6.14 inference(modus_ponens,[status(thm)],[26985, 26984])).
% 8.00/6.14 tff(26987,plain,
% 8.00/6.14 (v13(constB142) <=> v9(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26986, 13829, 216])).
% 8.00/6.14 tff(26988,plain,
% 8.00/6.14 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB142) <=> v13(constB142))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26989,plain,
% 8.00/6.14 (v6(constB142) <=> v13(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26988, 230])).
% 8.00/6.14 tff(26990,plain,
% 8.00/6.14 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB142)) <=> v6(constB142))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26991,plain,
% 8.00/6.14 ((~v21(constB142)) <=> v6(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26990, 239])).
% 8.00/6.14 tff(26992,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB142) <=> (v20(constB142) | v21(constB142)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26993,plain,
% 8.00/6.14 (v19(constB142) <=> (v20(constB142) | v21(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26992, 248])).
% 8.00/6.14 tff(26994,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26995,plain,
% 8.00/6.14 (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142))))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26994, 260])).
% 8.00/6.14 tff(26996,plain,
% 8.00/6.14 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB142)) <=> v18(constB142))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26997,plain,
% 8.00/6.14 ((~v4(constB142)) <=> v18(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26996, 269])).
% 8.00/6.14 tff(26998,plain,
% 8.00/6.14 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB142)),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(26999,plain,
% 8.00/6.14 (v4(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[26998, 278])).
% 8.00/6.14 tff(27000,plain,
% 8.00/6.14 ((~((~v4(constB142)) <=> v18(constB142))) | (~v4(constB142)) | (~v18(constB142))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27001,plain,
% 8.00/6.14 (~v18(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27000, 26999, 26997])).
% 8.00/6.14 tff(27002,plain,
% 8.00/6.14 ((~(v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))) | v18(constB142) | ((~v19(constB142)) | (~v22(constB142)))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27003,plain,
% 8.00/6.14 ((~v19(constB142)) | (~v22(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27002, 27001, 26995])).
% 8.00/6.14 tff(27004,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB142) <=> (v1(constB142) | v6(constB142)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27005,plain,
% 8.00/6.14 (v22(constB142) <=> (v1(constB142) | v6(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27004, 291])).
% 8.00/6.14 tff(27006,plain,
% 8.00/6.14 ((v1(constB142) | v6(constB142)) | (~v1(constB142))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27007,plain,
% 8.00/6.14 (v1(constB142) | v6(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27006, 18064])).
% 8.00/6.14 tff(27008,plain,
% 8.00/6.14 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142) | (~(v1(constB142) | v6(constB142)))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27009,plain,
% 8.00/6.14 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27008, 27007])).
% 8.00/6.14 tff(27010,plain,
% 8.00/6.14 (v22(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27009, 27005])).
% 8.00/6.14 tff(27011,plain,
% 8.00/6.14 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142)) | (~v22(constB142))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27012,plain,
% 8.00/6.14 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27011, 27010])).
% 8.00/6.14 tff(27013,plain,
% 8.00/6.14 (~v19(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27012, 27003])).
% 8.00/6.14 tff(27014,plain,
% 8.00/6.14 ((~(v19(constB142) <=> (v20(constB142) | v21(constB142)))) | v19(constB142) | (~(v20(constB142) | v21(constB142)))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27015,plain,
% 8.00/6.14 (~(v20(constB142) | v21(constB142))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27014, 27013, 26993])).
% 8.00/6.14 tff(27016,plain,
% 8.00/6.14 ((v20(constB142) | v21(constB142)) | (~v21(constB142))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27017,plain,
% 8.00/6.14 (~v21(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27016, 27015])).
% 8.00/6.14 tff(27018,plain,
% 8.00/6.14 ((~((~v21(constB142)) <=> v6(constB142))) | v21(constB142) | v6(constB142)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27019,plain,
% 8.00/6.14 (v6(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27018, 27017, 26991])).
% 8.00/6.14 tff(27020,plain,
% 8.00/6.14 ((~(v6(constB142) <=> v13(constB142))) | (~v6(constB142)) | v13(constB142)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27021,plain,
% 8.00/6.14 (v13(constB142)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27020, 27019, 26989])).
% 8.00/6.14 tff(27022,plain,
% 8.00/6.14 ((~(v13(constB142) <=> v9(constB141))) | (~v13(constB142)) | v9(constB141)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27023,plain,
% 8.00/6.14 (v9(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27022, 27021, 26987])).
% 8.00/6.14 tff(27024,plain,
% 8.00/6.14 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB141)) <=> v1(constB141))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27025,plain,
% 8.00/6.14 ((~v39(constB141)) <=> v1(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27024, 129])).
% 8.00/6.14 tff(27026,plain,
% 8.00/6.14 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141) | v1(constB141)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27027,plain,
% 8.00/6.14 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27026, 13873])).
% 8.00/6.14 tff(27028,plain,
% 8.00/6.14 (v39(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27027, 27025])).
% 8.00/6.14 tff(27029,plain,
% 8.00/6.14 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v39(constB141)) | (~v9(constB141))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27030,plain,
% 8.00/6.14 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v9(constB141))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27029, 27028])).
% 8.00/6.14 tff(27031,plain,
% 8.00/6.14 (~((~v39(constB141)) | (~v9(constB141)))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27030, 27023])).
% 8.00/6.14 tff(27032,plain,
% 8.00/6.14 ((~(v184(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))) | v184(constB141) | ((~v39(constB141)) | (~v9(constB141)))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27033,plain,
% 8.00/6.14 (v184(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27032, 27031, 26983])).
% 8.00/6.14 tff(27034,plain,
% 8.00/6.14 ((v184(constB141) | v26(constB141)) | (~v184(constB141))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27035,plain,
% 8.00/6.14 (v184(constB141) | v26(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27034, 27033])).
% 8.00/6.14 tff(27036,plain,
% 8.00/6.14 ((~(v183(constB141) <=> (v184(constB141) | v26(constB141)))) | v183(constB141) | (~(v184(constB141) | v26(constB141)))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27037,plain,
% 8.00/6.14 (v183(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27036, 27035, 26981])).
% 8.00/6.14 tff(27038,plain,
% 8.00/6.14 ((~((~v182(constB141)) <=> v183(constB141))) | (~v182(constB141)) | (~v183(constB141))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27039,plain,
% 8.00/6.14 (~v182(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27038, 27037, 26979])).
% 8.00/6.14 tff(27040,plain,
% 8.00/6.14 (((~v157(constB141)) | (~v182(constB141))) | v182(constB141)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27041,plain,
% 8.00/6.14 ((~v157(constB141)) | (~v182(constB141))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27040, 27039])).
% 8.00/6.14 tff(27042,plain,
% 8.00/6.14 ((~(v181(constB141) <=> (~((~v157(constB141)) | (~v182(constB141)))))) | (~v181(constB141)) | (~((~v157(constB141)) | (~v182(constB141))))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27043,plain,
% 8.00/6.14 (~v181(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27042, 27041, 26977])).
% 8.00/6.14 tff(27044,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB141) <=> (~((~v186(constB141)) | (~v187(constB141)))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27045,plain,
% 8.00/6.14 (v185(constB141) <=> (~((~v186(constB141)) | (~v187(constB141))))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27044, 96])).
% 8.00/6.14 tff(27046,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB141) <=> (~((~v184(constB141)) | (~v159(constB141)))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27047,plain,
% 8.00/6.14 (v187(constB141) <=> (~((~v184(constB141)) | (~v159(constB141))))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27046, 108])).
% 8.00/6.14 tff(27048,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB141) <=> v161(constB141))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27049,plain,
% 8.00/6.14 (v159(constB141) <=> v161(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27048, 345])).
% 8.00/6.14 tff(27050,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB141) <=> (v145(constB141) | v165(constB141)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27051,plain,
% 8.00/6.14 (v164(constB141) <=> (v145(constB141) | v165(constB141))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27050, 357])).
% 8.00/6.14 tff(27052,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB141) <=> (v146(constB141) | v147(constB141)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27053,plain,
% 8.00/6.14 (v145(constB141) <=> (v146(constB141) | v147(constB141))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27052, 24729])).
% 8.00/6.14 tff(27054,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0)))))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(27055,plain,
% 8.00/6.14 ((v146(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2))))) <=> (v146(constB141) <=> (~(v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0))))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(27056,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0)))))),
% 8.00/6.14 inference(monotonicity,[status(thm)],[27055])).
% 8.00/6.14 tff(27057,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0)))))),
% 8.00/6.14 inference(transitivity,[status(thm)],[27056, 27054])).
% 8.00/6.14 tff(27058,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27059,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB141) <=> (~(v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0))))),
% 8.00/6.14 inference(modus_ponens,[status(thm)],[27058, 27057])).
% 8.00/6.14 tff(27060,plain,
% 8.00/6.14 (v146(constB141) <=> (~(v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0)))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27059, 24744])).
% 8.00/6.14 tff(27061,plain,
% 8.00/6.14 ((~![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))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27062,plain,
% 8.00/6.14 (~(((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)) | ((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)) | ((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0)))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27061, 416])).
% 8.00/6.14 tff(27063,plain,
% 8.00/6.14 ((((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)) | ((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)) | ((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0))) | (~((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27064,plain,
% 8.00/6.14 (~((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27063, 27062])).
% 8.00/6.14 tff(27065,plain,
% 8.00/6.14 (((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)) | v88(constB141, bitIndex2) | (~v90(constB141, bitIndex2))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27066,plain,
% 8.00/6.14 (v88(constB141, bitIndex2)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27065, 17986, 27064])).
% 8.00/6.14 tff(27067,plain,
% 8.00/6.14 ((((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)) | ((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)) | ((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0))) | (~((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0)))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27068,plain,
% 8.00/6.14 (~((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27067, 27062])).
% 8.00/6.14 tff(27069,plain,
% 8.00/6.14 (((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0)) | (~v88(constB141, bitIndex0)) | v90(constB141, bitIndex0)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27070,plain,
% 8.00/6.14 (~v88(constB141, bitIndex0)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27069, 18004, 27068])).
% 8.00/6.14 tff(27071,plain,
% 8.00/6.14 ((((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)) | ((~v88(constB141, bitIndex2)) <=> v90(constB141, bitIndex2)) | ((~v88(constB141, bitIndex0)) <=> v90(constB141, bitIndex0))) | (~((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27072,plain,
% 8.00/6.14 (~((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27071, 27062])).
% 8.00/6.14 tff(27073,plain,
% 8.00/6.14 (((~v88(constB141, bitIndex1)) <=> v90(constB141, bitIndex1)) | (~v88(constB141, bitIndex1)) | v90(constB141, bitIndex1)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27074,plain,
% 8.00/6.14 (~v88(constB141, bitIndex1)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27073, 18022, 27072])).
% 8.00/6.14 tff(27075,plain,
% 8.00/6.14 ((~(v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0))) | v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27076,plain,
% 8.00/6.14 (~(v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27075, 27074, 27070, 27066])).
% 8.00/6.14 tff(27077,plain,
% 8.00/6.14 ((~(v146(constB141) <=> (~(v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0))))) | v146(constB141) | (v88(constB141, bitIndex1) | (~v88(constB141, bitIndex2)) | v88(constB141, bitIndex0))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27078,plain,
% 8.00/6.14 (v146(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27077, 27076, 27060])).
% 8.00/6.14 tff(27079,plain,
% 8.00/6.14 ((v146(constB141) | v147(constB141)) | (~v146(constB141))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27080,plain,
% 8.00/6.14 (v146(constB141) | v147(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27079, 27078])).
% 8.00/6.14 tff(27081,plain,
% 8.00/6.14 ((~(v145(constB141) <=> (v146(constB141) | v147(constB141)))) | v145(constB141) | (~(v146(constB141) | v147(constB141)))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27082,plain,
% 8.00/6.14 (v145(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27081, 27080, 27053])).
% 8.00/6.14 tff(27083,plain,
% 8.00/6.14 ((v145(constB141) | v165(constB141)) | (~v145(constB141))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27084,plain,
% 8.00/6.14 (v145(constB141) | v165(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27083, 27082])).
% 8.00/6.14 tff(27085,plain,
% 8.00/6.14 ((~(v164(constB141) <=> (v145(constB141) | v165(constB141)))) | v164(constB141) | (~(v145(constB141) | v165(constB141)))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27086,plain,
% 8.00/6.14 ((~(v164(constB141) <=> (v145(constB141) | v165(constB141)))) | v164(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27085, 27084])).
% 8.00/6.14 tff(27087,plain,
% 8.00/6.14 (v164(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27086, 27051])).
% 8.00/6.14 tff(27088,plain,
% 8.00/6.14 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB141)) | (v161(constB141) <=> v168(constB141)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB141)) | (v161(constB141) <=> v168(constB141)))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(27089,plain,
% 8.00/6.14 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB141)) | (v161(constB141) <=> v168(constB141)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27090,plain,
% 8.00/6.14 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB141)) | (v161(constB141) <=> v168(constB141))),
% 8.00/6.14 inference(modus_ponens,[status(thm)],[27089, 27088])).
% 8.00/6.14 tff(27091,plain,
% 8.00/6.14 ((~v164(constB141)) | (v161(constB141) <=> v168(constB141))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27090, 12128])).
% 8.00/6.14 tff(27092,plain,
% 8.00/6.14 (v161(constB141) <=> v168(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27091, 27087])).
% 8.00/6.14 tff(27093,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27094,plain,
% 8.00/6.14 (v139(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27093, 12146])).
% 8.00/6.14 tff(27095,plain,
% 8.00/6.14 ((v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)) | (~v88(constB141, bitIndex2))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27096,plain,
% 8.00/6.14 (v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27095, 27066])).
% 8.00/6.14 tff(27097,plain,
% 8.00/6.14 ((~(v139(constB141) <=> (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2))))) | (~v139(constB141)) | (~(v88(constB141, bitIndex0) | v88(constB141, bitIndex1) | v88(constB141, bitIndex2)))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27098,plain,
% 8.00/6.14 (~v139(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27097, 27096, 27094])).
% 8.00/6.14 tff(27099,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB141) <=> (~(v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27100,plain,
% 8.00/6.14 (v140(constB141) <=> (~(v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0))))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27099, 12165])).
% 8.00/6.14 tff(27101,plain,
% 8.00/6.14 ((v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0))) | (~v88(constB141, bitIndex2))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27102,plain,
% 8.00/6.14 (v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27101, 27066])).
% 8.00/6.14 tff(27103,plain,
% 8.00/6.14 ((~(v140(constB141) <=> (~(v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)))))) | (~v140(constB141)) | (~(v88(constB141, bitIndex1) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0))))),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27104,plain,
% 8.00/6.14 (~v140(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27103, 27102, 27100])).
% 8.00/6.14 tff(27105,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB141) | v140(constB141) | (~v168(constB141)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB141) | v140(constB141) | (~v168(constB141)))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(27106,plain,
% 8.00/6.14 ((v140(constB141) | v139(constB141) | (~v168(constB141))) <=> (v139(constB141) | v140(constB141) | (~v168(constB141)))),
% 8.00/6.14 inference(rewrite,[status(thm)],[])).
% 8.00/6.14 tff(27107,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v168(constB141)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB141) | v140(constB141) | (~v168(constB141))))),
% 8.00/6.14 inference(monotonicity,[status(thm)],[27106])).
% 8.00/6.14 tff(27108,plain,
% 8.00/6.14 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v168(constB141)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB141) | v140(constB141) | (~v168(constB141)))),
% 8.00/6.14 inference(transitivity,[status(thm)],[27107, 27105])).
% 8.00/6.14 tff(27109,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v168(constB141)))),
% 8.00/6.14 inference(quant_inst,[status(thm)],[])).
% 8.00/6.14 tff(27110,plain,
% 8.00/6.14 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB141) | v140(constB141) | (~v168(constB141))),
% 8.00/6.14 inference(modus_ponens,[status(thm)],[27109, 27108])).
% 8.00/6.14 tff(27111,plain,
% 8.00/6.14 (v139(constB141) | v140(constB141) | (~v168(constB141))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27110, 12184])).
% 8.00/6.14 tff(27112,plain,
% 8.00/6.14 (~v168(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27111, 27104, 27098])).
% 8.00/6.14 tff(27113,plain,
% 8.00/6.14 ((~(v161(constB141) <=> v168(constB141))) | (~v161(constB141)) | v168(constB141)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27114,plain,
% 8.00/6.14 ((~(v161(constB141) <=> v168(constB141))) | (~v161(constB141))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27113, 27112])).
% 8.00/6.14 tff(27115,plain,
% 8.00/6.14 (~v161(constB141)),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27114, 27092])).
% 8.00/6.14 tff(27116,plain,
% 8.00/6.14 ((~(v159(constB141) <=> v161(constB141))) | (~v159(constB141)) | v161(constB141)),
% 8.00/6.14 inference(tautology,[status(thm)],[])).
% 8.00/6.14 tff(27117,plain,
% 8.00/6.14 ((~(v159(constB141) <=> v161(constB141))) | (~v159(constB141))),
% 8.00/6.14 inference(unit_resolution,[status(thm)],[27116, 27115])).
% 8.00/6.14 tff(27118,plain,
% 8.00/6.15 (~v159(constB141)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27117, 27049])).
% 8.00/6.15 tff(27119,plain,
% 8.00/6.15 (((~v184(constB141)) | (~v159(constB141))) | v159(constB141)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27120,plain,
% 8.00/6.15 ((~v184(constB141)) | (~v159(constB141))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27119, 27118])).
% 8.00/6.15 tff(27121,plain,
% 8.00/6.15 ((~(v187(constB141) <=> (~((~v184(constB141)) | (~v159(constB141)))))) | (~v187(constB141)) | (~((~v184(constB141)) | (~v159(constB141))))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27122,plain,
% 8.00/6.15 (~v187(constB141)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27121, 27120, 27047])).
% 8.00/6.15 tff(27123,plain,
% 8.00/6.15 (((~v186(constB141)) | (~v187(constB141))) | v187(constB141)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27124,plain,
% 8.00/6.15 ((~v186(constB141)) | (~v187(constB141))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27123, 27122])).
% 8.00/6.15 tff(27125,plain,
% 8.00/6.15 ((~(v185(constB141) <=> (~((~v186(constB141)) | (~v187(constB141)))))) | (~v185(constB141)) | (~((~v186(constB141)) | (~v187(constB141))))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27126,plain,
% 8.00/6.15 (~v185(constB141)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27125, 27124, 27045])).
% 8.00/6.15 tff(27127,plain,
% 8.00/6.15 ((~(v181(constB141) | v185(constB141))) | v181(constB141) | v185(constB141)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27128,plain,
% 8.00/6.15 (~(v181(constB141) | v185(constB141))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27127, 27126, 27043])).
% 8.00/6.15 tff(27129,plain,
% 8.00/6.15 ((~(v178(constB141) <=> (v181(constB141) | v185(constB141)))) | (~v178(constB141)) | (v181(constB141) | v185(constB141))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27130,plain,
% 8.00/6.15 (~v178(constB141)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27129, 27128, 26970])).
% 8.00/6.15 tff(27131,plain,
% 8.00/6.15 ((~(v180(constB142) <=> v178(constB141))) | (~v180(constB142)) | v178(constB141)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27132,plain,
% 8.00/6.15 (~v180(constB142)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27131, 27130, 26968])).
% 8.00/6.15 tff(27133,plain,
% 8.00/6.15 ((~(v157(constB142) <=> v180(constB142))) | (~v157(constB142)) | v180(constB142)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27134,plain,
% 8.00/6.15 (~v157(constB142)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27133, 27132, 26964])).
% 8.00/6.15 tff(27135,plain,
% 8.00/6.15 (((~v157(constB142)) | (~v182(constB142))) | v157(constB142)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27136,plain,
% 8.00/6.15 ((~v157(constB142)) | (~v182(constB142))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27135, 27134])).
% 8.00/6.15 tff(27137,plain,
% 8.00/6.15 ((~(v181(constB142) <=> (~((~v157(constB142)) | (~v182(constB142)))))) | (~v181(constB142)) | (~((~v157(constB142)) | (~v182(constB142))))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27138,plain,
% 8.00/6.15 (~v181(constB142)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27137, 27136, 26962])).
% 8.00/6.15 tff(27139,plain,
% 8.00/6.15 ((~(v181(constB142) | v185(constB142))) | v181(constB142) | v185(constB142)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27140,plain,
% 8.00/6.15 (~(v181(constB142) | v185(constB142))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27139, 27138, 26955])).
% 8.00/6.15 tff(27141,plain,
% 8.00/6.15 ((~(v178(constB142) <=> (v181(constB142) | v185(constB142)))) | (~v178(constB142)) | (v181(constB142) | v185(constB142))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27142,plain,
% 8.00/6.15 (~v178(constB142)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27141, 27140, 26930])).
% 8.00/6.15 tff(27143,plain,
% 8.00/6.15 ((~(v180(constB143) <=> v178(constB142))) | (~v180(constB143)) | v178(constB142)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27144,plain,
% 8.00/6.15 (~v180(constB143)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27143, 27142, 26928])).
% 8.00/6.15 tff(27145,plain,
% 8.00/6.15 ($false),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27144, 26924])).
% 8.00/6.15 tff(27146,plain,(~(constB143 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.00/6.15 tff(27147,assumption,(constB89 = VarCurr!0), introduced(assumption)).
% 8.00/6.15 tff(27148,plain,
% 8.00/6.15 (v86(constB89) <=> v86(VarCurr!0)),
% 8.00/6.15 inference(monotonicity,[status(thm)],[27147])).
% 8.00/6.15 tff(27149,plain,
% 8.00/6.15 (v86(VarCurr!0) <=> v86(constB89)),
% 8.00/6.15 inference(symmetry,[status(thm)],[27148])).
% 8.00/6.15 tff(27150,plain,
% 8.00/6.15 ((~v86(VarCurr!0)) <=> (~v86(constB89))),
% 8.00/6.15 inference(monotonicity,[status(thm)],[27149])).
% 8.00/6.15 tff(27151,plain,
% 8.00/6.15 (~v86(constB89)),
% 8.00/6.15 inference(modus_ponens,[status(thm)],[21766, 27150])).
% 8.00/6.15 tff(27152,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB89) <=> (v136(constB89) | v145(constB89)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27153,plain,
% 8.00/6.15 (v135(constB89) <=> (v136(constB89) | v145(constB89))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27152, 21774])).
% 8.00/6.15 tff(27154,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB89) <=> (v137(constB89) | v142(constB89)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27155,plain,
% 8.00/6.15 (v136(constB89) <=> (v137(constB89) | v142(constB89))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27154, 21783])).
% 8.00/6.15 tff(27156,plain,
% 8.00/6.15 ((v137(constB89) | v142(constB89)) | (~v142(constB89))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27157,plain,
% 8.00/6.15 (v137(constB89) | v142(constB89)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27156, 23774])).
% 8.00/6.15 tff(27158,plain,
% 8.00/6.15 ((~(v136(constB89) <=> (v137(constB89) | v142(constB89)))) | v136(constB89) | (~(v137(constB89) | v142(constB89)))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27159,plain,
% 8.00/6.15 ((~(v136(constB89) <=> (v137(constB89) | v142(constB89)))) | v136(constB89)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27158, 27157])).
% 8.00/6.15 tff(27160,plain,
% 8.00/6.15 (v136(constB89)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27159, 27155])).
% 8.00/6.15 tff(27161,plain,
% 8.00/6.15 ((v136(constB89) | v145(constB89)) | (~v136(constB89))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27162,plain,
% 8.00/6.15 (v136(constB89) | v145(constB89)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27161, 27160])).
% 8.00/6.15 tff(27163,plain,
% 8.00/6.15 ((~(v135(constB89) <=> (v136(constB89) | v145(constB89)))) | v135(constB89) | (~(v136(constB89) | v145(constB89)))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27164,plain,
% 8.00/6.15 (v135(constB89)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27163, 27162, 27153])).
% 8.00/6.15 tff(27165,plain,
% 8.00/6.15 (((~![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)))),
% 8.00/6.15 inference(rewrite,[status(thm)],[])).
% 8.00/6.15 tff(27166,plain,
% 8.00/6.15 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB89)) | (v86(constB89) <=> v148(constB89)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27167,plain,
% 8.00/6.15 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB89)) | (v86(constB89) <=> v148(constB89))),
% 8.00/6.15 inference(modus_ponens,[status(thm)],[27166, 27165])).
% 8.00/6.15 tff(27168,plain,
% 8.00/6.15 (v86(constB89) <=> v148(constB89)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27167, 21855, 27164])).
% 8.00/6.15 tff(27169,plain,
% 8.00/6.15 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB89) | (~v142(constB89)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB89) | (~v142(constB89)))),
% 8.00/6.15 inference(rewrite,[status(thm)],[])).
% 8.00/6.15 tff(27170,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB89) | (~v142(constB89)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27171,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB89) | (~v142(constB89))),
% 8.00/6.15 inference(modus_ponens,[status(thm)],[27170, 27169])).
% 8.00/6.15 tff(27172,plain,
% 8.00/6.15 (v148(constB89)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27171, 21869, 23774])).
% 8.00/6.15 tff(27173,plain,
% 8.00/6.15 ((~(v86(constB89) <=> v148(constB89))) | v86(constB89) | (~v148(constB89))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27174,plain,
% 8.00/6.15 ((~(v86(constB89) <=> v148(constB89))) | v86(constB89)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27173, 27172])).
% 8.00/6.15 tff(27175,plain,
% 8.00/6.15 (v86(constB89)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27174, 27168])).
% 8.00/6.15 tff(27176,plain,
% 8.00/6.15 ($false),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27175, 27151])).
% 8.00/6.15 tff(27177,plain,(~(constB89 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.00/6.15 tff(27178,assumption,(constB19 = VarCurr!0), introduced(assumption)).
% 8.00/6.15 tff(27179,plain,
% 8.00/6.15 (v180(constB19) <=> v180(VarCurr!0)),
% 8.00/6.15 inference(monotonicity,[status(thm)],[27178])).
% 8.00/6.15 tff(27180,plain,
% 8.00/6.15 (v180(VarCurr!0) <=> v180(constB19)),
% 8.00/6.15 inference(symmetry,[status(thm)],[27179])).
% 8.00/6.15 tff(27181,plain,
% 8.00/6.15 (v180(constB19)),
% 8.00/6.15 inference(modus_ponens,[status(thm)],[59, 27180])).
% 8.00/6.15 tff(27182,plain,
% 8.00/6.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB18, constB19)) | (v180(constB19) <=> v178(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB18, constB19)) | (v180(constB19) <=> v178(constB18)))),
% 8.00/6.15 inference(rewrite,[status(thm)],[])).
% 8.00/6.15 tff(27183,plain,
% 8.00/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB18, constB19)) | (v180(constB19) <=> v178(constB18)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27184,plain,
% 8.00/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB18, constB19)) | (v180(constB19) <=> v178(constB18))),
% 8.00/6.15 inference(modus_ponens,[status(thm)],[27183, 27182])).
% 8.00/6.15 tff(27185,plain,
% 8.00/6.15 (v180(constB19) <=> v178(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27184, 3285, 70])).
% 8.00/6.15 tff(27186,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB18) <=> (v181(constB18) | v185(constB18)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27187,plain,
% 8.00/6.15 (v178(constB18) <=> (v181(constB18) | v185(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27186, 84])).
% 8.00/6.15 tff(27188,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB18) <=> (~((~v186(constB18)) | (~v187(constB18)))))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27189,plain,
% 8.00/6.15 (v185(constB18) <=> (~((~v186(constB18)) | (~v187(constB18))))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27188, 96])).
% 8.00/6.15 tff(27190,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB18) <=> (~((~v184(constB18)) | (~v159(constB18)))))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27191,plain,
% 8.00/6.15 (v187(constB18) <=> (~((~v184(constB18)) | (~v159(constB18))))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27190, 108])).
% 8.00/6.15 tff(27192,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27193,plain,
% 8.00/6.15 (v184(constB18) <=> (~((~v39(constB18)) | (~v9(constB18))))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27192, 120])).
% 8.00/6.15 tff(27194,plain,
% 8.00/6.15 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB18)) <=> v1(constB18))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27195,plain,
% 8.00/6.15 ((~v39(constB18)) <=> v1(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27194, 129])).
% 8.00/6.15 tff(27196,plain,
% 8.00/6.15 ((~((~v39(constB18)) <=> v1(constB18))) | (~v39(constB18)) | (~v1(constB18))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27197,plain,
% 8.00/6.15 ((~((~v39(constB18)) <=> v1(constB18))) | (~v39(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27196, 5433])).
% 8.00/6.15 tff(27198,plain,
% 8.00/6.15 (~v39(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27197, 27195])).
% 8.00/6.15 tff(27199,plain,
% 8.00/6.15 (((~v39(constB18)) | (~v9(constB18))) | v39(constB18)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27200,plain,
% 8.00/6.15 ((~v39(constB18)) | (~v9(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27199, 27198])).
% 8.00/6.15 tff(27201,plain,
% 8.00/6.15 ((~(v184(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))) | (~v184(constB18)) | (~((~v39(constB18)) | (~v9(constB18))))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27202,plain,
% 8.00/6.15 ((~(v184(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))) | (~v184(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27201, 27200])).
% 8.00/6.15 tff(27203,plain,
% 8.00/6.15 (~v184(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27202, 27193])).
% 8.00/6.15 tff(27204,plain,
% 8.00/6.15 (((~v184(constB18)) | (~v159(constB18))) | v184(constB18)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27205,plain,
% 8.00/6.15 ((~v184(constB18)) | (~v159(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27204, 27203])).
% 8.00/6.15 tff(27206,plain,
% 8.00/6.15 ((~(v187(constB18) <=> (~((~v184(constB18)) | (~v159(constB18)))))) | (~v187(constB18)) | (~((~v184(constB18)) | (~v159(constB18))))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27207,plain,
% 8.00/6.15 ((~(v187(constB18) <=> (~((~v184(constB18)) | (~v159(constB18)))))) | (~v187(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27206, 27205])).
% 8.00/6.15 tff(27208,plain,
% 8.00/6.15 (~v187(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27207, 27191])).
% 8.00/6.15 tff(27209,plain,
% 8.00/6.15 (((~v186(constB18)) | (~v187(constB18))) | v187(constB18)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27210,plain,
% 8.00/6.15 ((~v186(constB18)) | (~v187(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27209, 27208])).
% 8.00/6.15 tff(27211,plain,
% 8.00/6.15 ((~(v185(constB18) <=> (~((~v186(constB18)) | (~v187(constB18)))))) | (~v185(constB18)) | (~((~v186(constB18)) | (~v187(constB18))))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27212,plain,
% 8.00/6.15 (~v185(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27211, 27210, 27189])).
% 8.00/6.15 tff(27213,plain,
% 8.00/6.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18))))))),
% 8.00/6.15 inference(rewrite,[status(thm)],[])).
% 8.00/6.15 tff(27214,plain,
% 8.00/6.15 ((v181(constB18) <=> (~((~v182(constB18)) | (~v157(constB18))))) <=> (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18)))))),
% 8.00/6.15 inference(rewrite,[status(thm)],[])).
% 8.00/6.15 tff(27215,plain,
% 8.00/6.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v182(constB18)) | (~v157(constB18)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18))))))),
% 8.00/6.15 inference(monotonicity,[status(thm)],[27214])).
% 8.00/6.15 tff(27216,plain,
% 8.00/6.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v182(constB18)) | (~v157(constB18)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18))))))),
% 8.00/6.15 inference(transitivity,[status(thm)],[27215, 27213])).
% 8.00/6.15 tff(27217,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v182(constB18)) | (~v157(constB18)))))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27218,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18)))))),
% 8.00/6.15 inference(modus_ponens,[status(thm)],[27217, 27216])).
% 8.00/6.15 tff(27219,plain,
% 8.00/6.15 (v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18))))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27218, 161])).
% 8.00/6.15 tff(27220,plain,
% 8.00/6.15 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB18) <=> v180(constB18))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27221,plain,
% 8.00/6.15 (v157(constB18) <=> v180(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27220, 13])).
% 8.00/6.15 tff(27222,plain,
% 8.00/6.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB17, constB18)) | (v180(constB18) <=> v178(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB17, constB18)) | (v180(constB18) <=> v178(constB17)))),
% 8.00/6.15 inference(rewrite,[status(thm)],[])).
% 8.00/6.15 tff(27223,plain,
% 8.00/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB17, constB18)) | (v180(constB18) <=> v178(constB17)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27224,plain,
% 8.00/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB17, constB18)) | (v180(constB18) <=> v178(constB17))),
% 8.00/6.15 inference(modus_ponens,[status(thm)],[27223, 27222])).
% 8.00/6.15 tff(27225,plain,
% 8.00/6.15 (v180(constB18) <=> v178(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27224, 3321, 70])).
% 8.00/6.15 tff(27226,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB17) <=> (v181(constB17) | v185(constB17)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27227,plain,
% 8.00/6.15 (v178(constB17) <=> (v181(constB17) | v185(constB17))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27226, 84])).
% 8.00/6.15 tff(27228,plain,
% 8.00/6.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17))))))),
% 8.00/6.15 inference(rewrite,[status(thm)],[])).
% 8.00/6.15 tff(27229,plain,
% 8.00/6.15 ((v181(constB17) <=> (~((~v182(constB17)) | (~v157(constB17))))) <=> (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17)))))),
% 8.00/6.15 inference(rewrite,[status(thm)],[])).
% 8.00/6.15 tff(27230,plain,
% 8.00/6.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v182(constB17)) | (~v157(constB17)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17))))))),
% 8.00/6.15 inference(monotonicity,[status(thm)],[27229])).
% 8.00/6.15 tff(27231,plain,
% 8.00/6.15 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v182(constB17)) | (~v157(constB17)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17))))))),
% 8.00/6.15 inference(transitivity,[status(thm)],[27230, 27228])).
% 8.00/6.15 tff(27232,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v182(constB17)) | (~v157(constB17)))))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27233,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17)))))),
% 8.00/6.15 inference(modus_ponens,[status(thm)],[27232, 27231])).
% 8.00/6.15 tff(27234,plain,
% 8.00/6.15 (v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17))))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27233, 161])).
% 8.00/6.15 tff(27235,plain,
% 8.00/6.15 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB17)) <=> v183(constB17))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27236,plain,
% 8.00/6.15 ((~v182(constB17)) <=> v183(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27235, 193])).
% 8.00/6.15 tff(27237,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB17) <=> (v184(constB17) | v26(constB17)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27238,plain,
% 8.00/6.15 (v183(constB17) <=> (v184(constB17) | v26(constB17))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27237, 202])).
% 8.00/6.15 tff(27239,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB17) <=> (~((~v39(constB17)) | (~v9(constB17)))))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27240,plain,
% 8.00/6.15 (v184(constB17) <=> (~((~v39(constB17)) | (~v9(constB17))))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27239, 120])).
% 8.00/6.15 tff(27241,plain,
% 8.00/6.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17)))),
% 8.00/6.15 inference(rewrite,[status(thm)],[])).
% 8.00/6.15 tff(27242,plain,
% 8.00/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27243,plain,
% 8.00/6.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17))),
% 8.00/6.15 inference(modus_ponens,[status(thm)],[27242, 27241])).
% 8.00/6.15 tff(27244,plain,
% 8.00/6.15 (v13(constB18) <=> v9(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27243, 3321, 216])).
% 8.00/6.15 tff(27245,plain,
% 8.00/6.15 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB18) <=> v13(constB18))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27246,plain,
% 8.00/6.15 (v6(constB18) <=> v13(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27245, 230])).
% 8.00/6.15 tff(27247,plain,
% 8.00/6.15 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB18)) <=> v6(constB18))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27248,plain,
% 8.00/6.15 ((~v21(constB18)) <=> v6(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27247, 239])).
% 8.00/6.15 tff(27249,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB18) <=> (v20(constB18) | v21(constB18)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27250,plain,
% 8.00/6.15 (v19(constB18) <=> (v20(constB18) | v21(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27249, 248])).
% 8.00/6.15 tff(27251,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18)))))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27252,plain,
% 8.00/6.15 (v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18))))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27251, 260])).
% 8.00/6.15 tff(27253,plain,
% 8.00/6.15 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB18)) <=> v18(constB18))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27254,plain,
% 8.00/6.15 ((~v4(constB18)) <=> v18(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27253, 269])).
% 8.00/6.15 tff(27255,plain,
% 8.00/6.15 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB18)),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27256,plain,
% 8.00/6.15 (v4(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27255, 278])).
% 8.00/6.15 tff(27257,plain,
% 8.00/6.15 ((~((~v4(constB18)) <=> v18(constB18))) | (~v4(constB18)) | (~v18(constB18))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27258,plain,
% 8.00/6.15 (~v18(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27257, 27256, 27254])).
% 8.00/6.15 tff(27259,plain,
% 8.00/6.15 ((~(v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18)))))) | v18(constB18) | ((~v19(constB18)) | (~v22(constB18)))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27260,plain,
% 8.00/6.15 ((~v19(constB18)) | (~v22(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27259, 27258, 27252])).
% 8.00/6.15 tff(27261,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB18) <=> (v1(constB18) | v6(constB18)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27262,plain,
% 8.00/6.15 (v22(constB18) <=> (v1(constB18) | v6(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27261, 291])).
% 8.00/6.15 tff(27263,plain,
% 8.00/6.15 ((v1(constB18) | v6(constB18)) | (~v1(constB18))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27264,plain,
% 8.00/6.15 (v1(constB18) | v6(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27263, 5433])).
% 8.00/6.15 tff(27265,plain,
% 8.00/6.15 ((~(v22(constB18) <=> (v1(constB18) | v6(constB18)))) | v22(constB18) | (~(v1(constB18) | v6(constB18)))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27266,plain,
% 8.00/6.15 ((~(v22(constB18) <=> (v1(constB18) | v6(constB18)))) | v22(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27265, 27264])).
% 8.00/6.15 tff(27267,plain,
% 8.00/6.15 (v22(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27266, 27262])).
% 8.00/6.15 tff(27268,plain,
% 8.00/6.15 ((~((~v19(constB18)) | (~v22(constB18)))) | (~v19(constB18)) | (~v22(constB18))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27269,plain,
% 8.00/6.15 ((~((~v19(constB18)) | (~v22(constB18)))) | (~v19(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27268, 27267])).
% 8.00/6.15 tff(27270,plain,
% 8.00/6.15 (~v19(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27269, 27260])).
% 8.00/6.15 tff(27271,plain,
% 8.00/6.15 ((~(v19(constB18) <=> (v20(constB18) | v21(constB18)))) | v19(constB18) | (~(v20(constB18) | v21(constB18)))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27272,plain,
% 8.00/6.15 (~(v20(constB18) | v21(constB18))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27271, 27270, 27250])).
% 8.00/6.15 tff(27273,plain,
% 8.00/6.15 ((v20(constB18) | v21(constB18)) | (~v21(constB18))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27274,plain,
% 8.00/6.15 (~v21(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27273, 27272])).
% 8.00/6.15 tff(27275,plain,
% 8.00/6.15 ((~((~v21(constB18)) <=> v6(constB18))) | v21(constB18) | v6(constB18)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27276,plain,
% 8.00/6.15 (v6(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27275, 27274, 27248])).
% 8.00/6.15 tff(27277,plain,
% 8.00/6.15 ((~(v6(constB18) <=> v13(constB18))) | (~v6(constB18)) | v13(constB18)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27278,plain,
% 8.00/6.15 (v13(constB18)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27277, 27276, 27246])).
% 8.00/6.15 tff(27279,plain,
% 8.00/6.15 ((~(v13(constB18) <=> v9(constB17))) | (~v13(constB18)) | v9(constB17)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27280,plain,
% 8.00/6.15 (v9(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27279, 27278, 27244])).
% 8.00/6.15 tff(27281,plain,
% 8.00/6.15 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB17)) <=> v1(constB17))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27282,plain,
% 8.00/6.15 ((~v39(constB17)) <=> v1(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27281, 129])).
% 8.00/6.15 tff(27283,plain,
% 8.00/6.15 ((~((~v39(constB17)) <=> v1(constB17))) | v39(constB17) | v1(constB17)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27284,plain,
% 8.00/6.15 ((~((~v39(constB17)) <=> v1(constB17))) | v39(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27283, 3365])).
% 8.00/6.15 tff(27285,plain,
% 8.00/6.15 (v39(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27284, 27282])).
% 8.00/6.15 tff(27286,plain,
% 8.00/6.15 ((~((~v39(constB17)) | (~v9(constB17)))) | (~v39(constB17)) | (~v9(constB17))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27287,plain,
% 8.00/6.15 ((~((~v39(constB17)) | (~v9(constB17)))) | (~v9(constB17))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27286, 27285])).
% 8.00/6.15 tff(27288,plain,
% 8.00/6.15 (~((~v39(constB17)) | (~v9(constB17)))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27287, 27280])).
% 8.00/6.15 tff(27289,plain,
% 8.00/6.15 ((~(v184(constB17) <=> (~((~v39(constB17)) | (~v9(constB17)))))) | v184(constB17) | ((~v39(constB17)) | (~v9(constB17)))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27290,plain,
% 8.00/6.15 (v184(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27289, 27288, 27240])).
% 8.00/6.15 tff(27291,plain,
% 8.00/6.15 ((v184(constB17) | v26(constB17)) | (~v184(constB17))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27292,plain,
% 8.00/6.15 (v184(constB17) | v26(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27291, 27290])).
% 8.00/6.15 tff(27293,plain,
% 8.00/6.15 ((~(v183(constB17) <=> (v184(constB17) | v26(constB17)))) | v183(constB17) | (~(v184(constB17) | v26(constB17)))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27294,plain,
% 8.00/6.15 (v183(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27293, 27292, 27238])).
% 8.00/6.15 tff(27295,plain,
% 8.00/6.15 ((~((~v182(constB17)) <=> v183(constB17))) | (~v182(constB17)) | (~v183(constB17))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27296,plain,
% 8.00/6.15 (~v182(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27295, 27294, 27236])).
% 8.00/6.15 tff(27297,plain,
% 8.00/6.15 (((~v157(constB17)) | (~v182(constB17))) | v182(constB17)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27298,plain,
% 8.00/6.15 ((~v157(constB17)) | (~v182(constB17))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27297, 27296])).
% 8.00/6.15 tff(27299,plain,
% 8.00/6.15 ((~(v181(constB17) <=> (~((~v157(constB17)) | (~v182(constB17)))))) | (~v181(constB17)) | (~((~v157(constB17)) | (~v182(constB17))))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27300,plain,
% 8.00/6.15 (~v181(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27299, 27298, 27234])).
% 8.00/6.15 tff(27301,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB17) <=> (~((~v186(constB17)) | (~v187(constB17)))))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27302,plain,
% 8.00/6.15 (v185(constB17) <=> (~((~v186(constB17)) | (~v187(constB17))))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27301, 96])).
% 8.00/6.15 tff(27303,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB17) <=> (~((~v184(constB17)) | (~v159(constB17)))))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27304,plain,
% 8.00/6.15 (v187(constB17) <=> (~((~v184(constB17)) | (~v159(constB17))))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27303, 108])).
% 8.00/6.15 tff(27305,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB17) <=> v161(constB17))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27306,plain,
% 8.00/6.15 (v159(constB17) <=> v161(constB17)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27305, 345])).
% 8.00/6.15 tff(27307,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB17) <=> (v145(constB17) | v165(constB17)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27308,plain,
% 8.00/6.15 (v164(constB17) <=> (v145(constB17) | v165(constB17))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27307, 357])).
% 8.00/6.15 tff(27309,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB17) <=> (v142(constB17) | v166(constB17)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27310,plain,
% 8.00/6.15 (v165(constB17) <=> (v142(constB17) | v166(constB17))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27309, 369])).
% 8.00/6.15 tff(27311,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB17) <=> (v143(constB17) | v144(constB17)))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27312,plain,
% 8.00/6.15 (v142(constB17) <=> (v143(constB17) | v144(constB17))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27311, 21792])).
% 8.00/6.15 tff(27313,plain,
% 8.00/6.15 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0)))))),
% 8.00/6.15 inference(rewrite,[status(thm)],[])).
% 8.00/6.15 tff(27314,plain,
% 8.00/6.15 ((v143(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1))))) <=> (v143(constB17) <=> (~((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0))))),
% 8.00/6.15 inference(rewrite,[status(thm)],[])).
% 8.00/6.15 tff(27315,plain,
% 8.00/6.15 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0)))))),
% 8.00/6.15 inference(monotonicity,[status(thm)],[27314])).
% 8.00/6.15 tff(27316,plain,
% 8.00/6.15 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0)))))),
% 8.00/6.15 inference(transitivity,[status(thm)],[27315, 27313])).
% 8.00/6.15 tff(27317,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex1)))))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27318,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB17) <=> (~((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0))))),
% 8.00/6.15 inference(modus_ponens,[status(thm)],[27317, 27316])).
% 8.00/6.15 tff(27319,plain,
% 8.00/6.15 (v143(constB17) <=> (~((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0)))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27318, 23745])).
% 8.00/6.15 tff(27320,plain,
% 8.00/6.15 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB17, bitIndex1)) <=> v90(constB17, bitIndex1)) | ((~v88(constB17, bitIndex2)) <=> v90(constB17, bitIndex2)) | ((~v88(constB17, bitIndex0)) <=> v90(constB17, bitIndex0))))),
% 8.00/6.15 inference(quant_inst,[status(thm)],[])).
% 8.00/6.15 tff(27321,plain,
% 8.00/6.15 (~(((~v88(constB17, bitIndex1)) <=> v90(constB17, bitIndex1)) | ((~v88(constB17, bitIndex2)) <=> v90(constB17, bitIndex2)) | ((~v88(constB17, bitIndex0)) <=> v90(constB17, bitIndex0)))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27320, 416])).
% 8.00/6.15 tff(27322,plain,
% 8.00/6.15 ((((~v88(constB17, bitIndex1)) <=> v90(constB17, bitIndex1)) | ((~v88(constB17, bitIndex2)) <=> v90(constB17, bitIndex2)) | ((~v88(constB17, bitIndex0)) <=> v90(constB17, bitIndex0))) | (~((~v88(constB17, bitIndex2)) <=> v90(constB17, bitIndex2)))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27323,plain,
% 8.00/6.15 (~((~v88(constB17, bitIndex2)) <=> v90(constB17, bitIndex2))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27322, 27321])).
% 8.00/6.15 tff(27324,plain,
% 8.00/6.15 (((~v88(constB17, bitIndex2)) <=> v90(constB17, bitIndex2)) | (~v88(constB17, bitIndex2)) | v90(constB17, bitIndex2)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27325,plain,
% 8.00/6.15 (~v88(constB17, bitIndex2)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27324, 5352, 27323])).
% 8.00/6.15 tff(27326,plain,
% 8.00/6.15 ((((~v88(constB17, bitIndex1)) <=> v90(constB17, bitIndex1)) | ((~v88(constB17, bitIndex2)) <=> v90(constB17, bitIndex2)) | ((~v88(constB17, bitIndex0)) <=> v90(constB17, bitIndex0))) | (~((~v88(constB17, bitIndex0)) <=> v90(constB17, bitIndex0)))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27327,plain,
% 8.00/6.15 (~((~v88(constB17, bitIndex0)) <=> v90(constB17, bitIndex0))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27326, 27321])).
% 8.00/6.15 tff(27328,plain,
% 8.00/6.15 (((~v88(constB17, bitIndex0)) <=> v90(constB17, bitIndex0)) | (~v88(constB17, bitIndex0)) | v90(constB17, bitIndex0)),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27329,plain,
% 8.00/6.15 (~v88(constB17, bitIndex0)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27328, 5370, 27327])).
% 8.00/6.15 tff(27330,plain,
% 8.00/6.15 ((((~v88(constB17, bitIndex1)) <=> v90(constB17, bitIndex1)) | ((~v88(constB17, bitIndex2)) <=> v90(constB17, bitIndex2)) | ((~v88(constB17, bitIndex0)) <=> v90(constB17, bitIndex0))) | (~((~v88(constB17, bitIndex1)) <=> v90(constB17, bitIndex1)))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27331,plain,
% 8.00/6.15 (~((~v88(constB17, bitIndex1)) <=> v90(constB17, bitIndex1))),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27330, 27321])).
% 8.00/6.15 tff(27332,plain,
% 8.00/6.15 (((~v88(constB17, bitIndex1)) <=> v90(constB17, bitIndex1)) | v88(constB17, bitIndex1) | (~v90(constB17, bitIndex1))),
% 8.00/6.15 inference(tautology,[status(thm)],[])).
% 8.00/6.15 tff(27333,plain,
% 8.00/6.15 (v88(constB17, bitIndex1)),
% 8.00/6.15 inference(unit_resolution,[status(thm)],[27332, 5388, 27331])).
% 8.00/6.15 tff(27334,plain,
% 8.00/6.15 ((~((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0))) | (~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27335,plain,
% 8.00/6.16 (~((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27334, 27333, 27329, 27325])).
% 8.00/6.16 tff(27336,plain,
% 8.00/6.16 ((~(v143(constB17) <=> (~((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0))))) | v143(constB17) | ((~v88(constB17, bitIndex1)) | v88(constB17, bitIndex2) | v88(constB17, bitIndex0))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27337,plain,
% 8.00/6.16 (v143(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27336, 27335, 27319])).
% 8.00/6.16 tff(27338,plain,
% 8.00/6.16 ((v143(constB17) | v144(constB17)) | (~v143(constB17))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27339,plain,
% 8.00/6.16 (v143(constB17) | v144(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27338, 27337])).
% 8.00/6.16 tff(27340,plain,
% 8.00/6.16 ((~(v142(constB17) <=> (v143(constB17) | v144(constB17)))) | v142(constB17) | (~(v143(constB17) | v144(constB17)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27341,plain,
% 8.00/6.16 (v142(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27340, 27339, 27312])).
% 8.00/6.16 tff(27342,plain,
% 8.00/6.16 ((v142(constB17) | v166(constB17)) | (~v142(constB17))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27343,plain,
% 8.00/6.16 (v142(constB17) | v166(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27342, 27341])).
% 8.00/6.16 tff(27344,plain,
% 8.00/6.16 ((~(v165(constB17) <=> (v142(constB17) | v166(constB17)))) | v165(constB17) | (~(v142(constB17) | v166(constB17)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27345,plain,
% 8.00/6.16 ((~(v165(constB17) <=> (v142(constB17) | v166(constB17)))) | v165(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27344, 27343])).
% 8.00/6.16 tff(27346,plain,
% 8.00/6.16 (v165(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27345, 27310])).
% 8.00/6.16 tff(27347,plain,
% 8.00/6.16 ((v145(constB17) | v165(constB17)) | (~v165(constB17))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27348,plain,
% 8.00/6.16 (v145(constB17) | v165(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27347, 27346])).
% 8.00/6.16 tff(27349,plain,
% 8.00/6.16 ((~(v164(constB17) <=> (v145(constB17) | v165(constB17)))) | v164(constB17) | (~(v145(constB17) | v165(constB17)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27350,plain,
% 8.00/6.16 (v164(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27349, 27348, 27308])).
% 8.00/6.16 tff(27351,plain,
% 8.00/6.16 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB17)) | (v161(constB17) <=> v168(constB17)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB17)) | (v161(constB17) <=> v168(constB17)))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27352,plain,
% 8.00/6.16 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB17)) | (v161(constB17) <=> v168(constB17)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27353,plain,
% 8.00/6.16 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB17)) | (v161(constB17) <=> v168(constB17))),
% 8.00/6.16 inference(modus_ponens,[status(thm)],[27352, 27351])).
% 8.00/6.16 tff(27354,plain,
% 8.00/6.16 ((~v164(constB17)) | (v161(constB17) <=> v168(constB17))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27353, 12128])).
% 8.00/6.16 tff(27355,plain,
% 8.00/6.16 (v161(constB17) <=> v168(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27354, 27350])).
% 8.00/6.16 tff(27356,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27357,plain,
% 8.00/6.16 (v139(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2)))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27356, 12146])).
% 8.00/6.16 tff(27358,plain,
% 8.00/6.16 ((v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2)) | (~v88(constB17, bitIndex1))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27359,plain,
% 8.00/6.16 (v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27358, 27333])).
% 8.00/6.16 tff(27360,plain,
% 8.00/6.16 ((~(v139(constB17) <=> (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2))))) | (~v139(constB17)) | (~(v88(constB17, bitIndex0) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27361,plain,
% 8.00/6.16 (~v139(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27360, 27359, 27357])).
% 8.00/6.16 tff(27362,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB17) <=> (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27363,plain,
% 8.00/6.16 (v140(constB17) <=> (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0))))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27362, 12165])).
% 8.00/6.16 tff(27364,plain,
% 8.00/6.16 ((v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0))) | (~v88(constB17, bitIndex1))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27365,plain,
% 8.00/6.16 (v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27364, 27333])).
% 8.00/6.16 tff(27366,plain,
% 8.00/6.16 ((~(v140(constB17) <=> (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)))))) | (~v140(constB17)) | (~(v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0))))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27367,plain,
% 8.00/6.16 (~v140(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27366, 27365, 27363])).
% 8.00/6.16 tff(27368,plain,
% 8.00/6.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB17) | v139(constB17) | (~v168(constB17)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB17) | v139(constB17) | (~v168(constB17)))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27369,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB17) | v139(constB17) | (~v168(constB17)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27370,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB17) | v139(constB17) | (~v168(constB17))),
% 8.00/6.16 inference(modus_ponens,[status(thm)],[27369, 27368])).
% 8.00/6.16 tff(27371,plain,
% 8.00/6.16 (v140(constB17) | v139(constB17) | (~v168(constB17))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27370, 12184])).
% 8.00/6.16 tff(27372,plain,
% 8.00/6.16 (~v168(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27371, 27367, 27361])).
% 8.00/6.16 tff(27373,plain,
% 8.00/6.16 ((~(v161(constB17) <=> v168(constB17))) | (~v161(constB17)) | v168(constB17)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27374,plain,
% 8.00/6.16 ((~(v161(constB17) <=> v168(constB17))) | (~v161(constB17))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27373, 27372])).
% 8.00/6.16 tff(27375,plain,
% 8.00/6.16 (~v161(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27374, 27355])).
% 8.00/6.16 tff(27376,plain,
% 8.00/6.16 ((~(v159(constB17) <=> v161(constB17))) | (~v159(constB17)) | v161(constB17)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27377,plain,
% 8.00/6.16 ((~(v159(constB17) <=> v161(constB17))) | (~v159(constB17))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27376, 27375])).
% 8.00/6.16 tff(27378,plain,
% 8.00/6.16 (~v159(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27377, 27306])).
% 8.00/6.16 tff(27379,plain,
% 8.00/6.16 (((~v184(constB17)) | (~v159(constB17))) | v159(constB17)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27380,plain,
% 8.00/6.16 ((~v184(constB17)) | (~v159(constB17))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27379, 27378])).
% 8.00/6.16 tff(27381,plain,
% 8.00/6.16 ((~(v187(constB17) <=> (~((~v184(constB17)) | (~v159(constB17)))))) | (~v187(constB17)) | (~((~v184(constB17)) | (~v159(constB17))))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27382,plain,
% 8.00/6.16 (~v187(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27381, 27380, 27304])).
% 8.00/6.16 tff(27383,plain,
% 8.00/6.16 (((~v186(constB17)) | (~v187(constB17))) | v187(constB17)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27384,plain,
% 8.00/6.16 ((~v186(constB17)) | (~v187(constB17))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27383, 27382])).
% 8.00/6.16 tff(27385,plain,
% 8.00/6.16 ((~(v185(constB17) <=> (~((~v186(constB17)) | (~v187(constB17)))))) | (~v185(constB17)) | (~((~v186(constB17)) | (~v187(constB17))))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27386,plain,
% 8.00/6.16 (~v185(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27385, 27384, 27302])).
% 8.00/6.16 tff(27387,plain,
% 8.00/6.16 ((~(v181(constB17) | v185(constB17))) | v181(constB17) | v185(constB17)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27388,plain,
% 8.00/6.16 (~(v181(constB17) | v185(constB17))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27387, 27386, 27300])).
% 8.00/6.16 tff(27389,plain,
% 8.00/6.16 ((~(v178(constB17) <=> (v181(constB17) | v185(constB17)))) | (~v178(constB17)) | (v181(constB17) | v185(constB17))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27390,plain,
% 8.00/6.16 (~v178(constB17)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27389, 27388, 27227])).
% 8.00/6.16 tff(27391,plain,
% 8.00/6.16 ((~(v180(constB18) <=> v178(constB17))) | (~v180(constB18)) | v178(constB17)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27392,plain,
% 8.00/6.16 (~v180(constB18)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27391, 27390, 27225])).
% 8.00/6.16 tff(27393,plain,
% 8.00/6.16 ((~(v157(constB18) <=> v180(constB18))) | (~v157(constB18)) | v180(constB18)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27394,plain,
% 8.00/6.16 (~v157(constB18)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27393, 27392, 27221])).
% 8.00/6.16 tff(27395,plain,
% 8.00/6.16 (((~v157(constB18)) | (~v182(constB18))) | v157(constB18)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27396,plain,
% 8.00/6.16 ((~v157(constB18)) | (~v182(constB18))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27395, 27394])).
% 8.00/6.16 tff(27397,plain,
% 8.00/6.16 ((~(v181(constB18) <=> (~((~v157(constB18)) | (~v182(constB18)))))) | (~v181(constB18)) | (~((~v157(constB18)) | (~v182(constB18))))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27398,plain,
% 8.00/6.16 (~v181(constB18)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27397, 27396, 27219])).
% 8.00/6.16 tff(27399,plain,
% 8.00/6.16 ((~(v181(constB18) | v185(constB18))) | v181(constB18) | v185(constB18)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27400,plain,
% 8.00/6.16 (~(v181(constB18) | v185(constB18))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27399, 27398, 27212])).
% 8.00/6.16 tff(27401,plain,
% 8.00/6.16 ((~(v178(constB18) <=> (v181(constB18) | v185(constB18)))) | (~v178(constB18)) | (v181(constB18) | v185(constB18))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27402,plain,
% 8.00/6.16 (~v178(constB18)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27401, 27400, 27187])).
% 8.00/6.16 tff(27403,plain,
% 8.00/6.16 ((~(v180(constB19) <=> v178(constB18))) | (~v180(constB19)) | v178(constB18)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27404,plain,
% 8.00/6.16 (~v180(constB19)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27403, 27402, 27185])).
% 8.00/6.16 tff(27405,plain,
% 8.00/6.16 ($false),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27404, 27181])).
% 8.00/6.16 tff(27406,plain,(~(constB19 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.00/6.16 tff(27407,assumption,(constB111 = VarCurr!0), introduced(assumption)).
% 8.00/6.16 tff(27408,plain,
% 8.00/6.16 (v180(constB111) <=> v180(VarCurr!0)),
% 8.00/6.16 inference(monotonicity,[status(thm)],[27407])).
% 8.00/6.16 tff(27409,plain,
% 8.00/6.16 (v180(VarCurr!0) <=> v180(constB111)),
% 8.00/6.16 inference(symmetry,[status(thm)],[27408])).
% 8.00/6.16 tff(27410,plain,
% 8.00/6.16 (v180(constB111)),
% 8.00/6.16 inference(modus_ponens,[status(thm)],[59, 27409])).
% 8.00/6.16 tff(27411,plain,
% 8.00/6.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB110, constB111)) | (v180(constB111) <=> v178(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB110, constB111)) | (v180(constB111) <=> v178(constB110)))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27412,plain,
% 8.00/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB110, constB111)) | (v180(constB111) <=> v178(constB110)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27413,plain,
% 8.00/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB110, constB111)) | (v180(constB111) <=> v178(constB110))),
% 8.00/6.16 inference(modus_ponens,[status(thm)],[27412, 27411])).
% 8.00/6.16 tff(27414,plain,
% 8.00/6.16 (v180(constB111) <=> v178(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27413, 14824, 70])).
% 8.00/6.16 tff(27415,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB110) <=> (v181(constB110) | v185(constB110)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27416,plain,
% 8.00/6.16 (v178(constB110) <=> (v181(constB110) | v185(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27415, 84])).
% 8.00/6.16 tff(27417,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB110) <=> (~((~v186(constB110)) | (~v187(constB110)))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27418,plain,
% 8.00/6.16 (v185(constB110) <=> (~((~v186(constB110)) | (~v187(constB110))))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27417, 96])).
% 8.00/6.16 tff(27419,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB110) <=> (~((~v184(constB110)) | (~v159(constB110)))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27420,plain,
% 8.00/6.16 (v187(constB110) <=> (~((~v184(constB110)) | (~v159(constB110))))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27419, 108])).
% 8.00/6.16 tff(27421,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27422,plain,
% 8.00/6.16 (v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110))))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27421, 120])).
% 8.00/6.16 tff(27423,plain,
% 8.00/6.16 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB110)) <=> v1(constB110))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27424,plain,
% 8.00/6.16 ((~v39(constB110)) <=> v1(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27423, 129])).
% 8.00/6.16 tff(27425,plain,
% 8.00/6.16 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110)) | (~v1(constB110))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27426,plain,
% 8.00/6.16 ((~((~v39(constB110)) <=> v1(constB110))) | (~v39(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27425, 15574])).
% 8.00/6.16 tff(27427,plain,
% 8.00/6.16 (~v39(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27426, 27424])).
% 8.00/6.16 tff(27428,plain,
% 8.00/6.16 (((~v39(constB110)) | (~v9(constB110))) | v39(constB110)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27429,plain,
% 8.00/6.16 ((~v39(constB110)) | (~v9(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27428, 27427])).
% 8.00/6.16 tff(27430,plain,
% 8.00/6.16 ((~(v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v184(constB110)) | (~((~v39(constB110)) | (~v9(constB110))))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27431,plain,
% 8.00/6.16 ((~(v184(constB110) <=> (~((~v39(constB110)) | (~v9(constB110)))))) | (~v184(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27430, 27429])).
% 8.00/6.16 tff(27432,plain,
% 8.00/6.16 (~v184(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27431, 27422])).
% 8.00/6.16 tff(27433,plain,
% 8.00/6.16 (((~v184(constB110)) | (~v159(constB110))) | v184(constB110)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27434,plain,
% 8.00/6.16 ((~v184(constB110)) | (~v159(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27433, 27432])).
% 8.00/6.16 tff(27435,plain,
% 8.00/6.16 ((~(v187(constB110) <=> (~((~v184(constB110)) | (~v159(constB110)))))) | (~v187(constB110)) | (~((~v184(constB110)) | (~v159(constB110))))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27436,plain,
% 8.00/6.16 ((~(v187(constB110) <=> (~((~v184(constB110)) | (~v159(constB110)))))) | (~v187(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27435, 27434])).
% 8.00/6.16 tff(27437,plain,
% 8.00/6.16 (~v187(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27436, 27420])).
% 8.00/6.16 tff(27438,plain,
% 8.00/6.16 (((~v186(constB110)) | (~v187(constB110))) | v187(constB110)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27439,plain,
% 8.00/6.16 ((~v186(constB110)) | (~v187(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27438, 27437])).
% 8.00/6.16 tff(27440,plain,
% 8.00/6.16 ((~(v185(constB110) <=> (~((~v186(constB110)) | (~v187(constB110)))))) | (~v185(constB110)) | (~((~v186(constB110)) | (~v187(constB110))))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27441,plain,
% 8.00/6.16 (~v185(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27440, 27439, 27418])).
% 8.00/6.16 tff(27442,plain,
% 8.00/6.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110))))))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27443,plain,
% 8.00/6.16 ((v181(constB110) <=> (~((~v182(constB110)) | (~v157(constB110))))) <=> (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110)))))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27444,plain,
% 8.00/6.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v182(constB110)) | (~v157(constB110)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110))))))),
% 8.00/6.16 inference(monotonicity,[status(thm)],[27443])).
% 8.00/6.16 tff(27445,plain,
% 8.00/6.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v182(constB110)) | (~v157(constB110)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110))))))),
% 8.00/6.16 inference(transitivity,[status(thm)],[27444, 27442])).
% 8.00/6.16 tff(27446,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v182(constB110)) | (~v157(constB110)))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27447,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110)))))),
% 8.00/6.16 inference(modus_ponens,[status(thm)],[27446, 27445])).
% 8.00/6.16 tff(27448,plain,
% 8.00/6.16 (v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110))))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27447, 161])).
% 8.00/6.16 tff(27449,plain,
% 8.00/6.16 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB110) <=> v180(constB110))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27450,plain,
% 8.00/6.16 (v157(constB110) <=> v180(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27449, 13])).
% 8.00/6.16 tff(27451,plain,
% 8.00/6.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB109, constB110)) | (v180(constB110) <=> v178(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB109, constB110)) | (v180(constB110) <=> v178(constB109)))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27452,plain,
% 8.00/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB109, constB110)) | (v180(constB110) <=> v178(constB109)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27453,plain,
% 8.00/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB109, constB110)) | (v180(constB110) <=> v178(constB109))),
% 8.00/6.16 inference(modus_ponens,[status(thm)],[27452, 27451])).
% 8.00/6.16 tff(27454,plain,
% 8.00/6.16 (v180(constB110) <=> v178(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27453, 14860, 70])).
% 8.00/6.16 tff(27455,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB109) <=> (v181(constB109) | v185(constB109)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27456,plain,
% 8.00/6.16 (v178(constB109) <=> (v181(constB109) | v185(constB109))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27455, 84])).
% 8.00/6.16 tff(27457,plain,
% 8.00/6.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109))))))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27458,plain,
% 8.00/6.16 ((v181(constB109) <=> (~((~v182(constB109)) | (~v157(constB109))))) <=> (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109)))))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27459,plain,
% 8.00/6.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v182(constB109)) | (~v157(constB109)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109))))))),
% 8.00/6.16 inference(monotonicity,[status(thm)],[27458])).
% 8.00/6.16 tff(27460,plain,
% 8.00/6.16 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v182(constB109)) | (~v157(constB109)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109))))))),
% 8.00/6.16 inference(transitivity,[status(thm)],[27459, 27457])).
% 8.00/6.16 tff(27461,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v182(constB109)) | (~v157(constB109)))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27462,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109)))))),
% 8.00/6.16 inference(modus_ponens,[status(thm)],[27461, 27460])).
% 8.00/6.16 tff(27463,plain,
% 8.00/6.16 (v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109))))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27462, 161])).
% 8.00/6.16 tff(27464,plain,
% 8.00/6.16 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB109)) <=> v183(constB109))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27465,plain,
% 8.00/6.16 ((~v182(constB109)) <=> v183(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27464, 193])).
% 8.00/6.16 tff(27466,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB109) <=> (v184(constB109) | v26(constB109)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27467,plain,
% 8.00/6.16 (v183(constB109) <=> (v184(constB109) | v26(constB109))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27466, 202])).
% 8.00/6.16 tff(27468,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB109) <=> (~((~v39(constB109)) | (~v9(constB109)))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27469,plain,
% 8.00/6.16 (v184(constB109) <=> (~((~v39(constB109)) | (~v9(constB109))))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27468, 120])).
% 8.00/6.16 tff(27470,plain,
% 8.00/6.16 (((~![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)))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27471,plain,
% 8.00/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27472,plain,
% 8.00/6.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB109, constB110)) | (v13(constB110) <=> v9(constB109))),
% 8.00/6.16 inference(modus_ponens,[status(thm)],[27471, 27470])).
% 8.00/6.16 tff(27473,plain,
% 8.00/6.16 (v13(constB110) <=> v9(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27472, 14860, 216])).
% 8.00/6.16 tff(27474,plain,
% 8.00/6.16 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB110) <=> v13(constB110))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27475,plain,
% 8.00/6.16 (v6(constB110) <=> v13(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27474, 230])).
% 8.00/6.16 tff(27476,plain,
% 8.00/6.16 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB110)) <=> v6(constB110))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27477,plain,
% 8.00/6.16 ((~v21(constB110)) <=> v6(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27476, 239])).
% 8.00/6.16 tff(27478,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB110) <=> (v20(constB110) | v21(constB110)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27479,plain,
% 8.00/6.16 (v19(constB110) <=> (v20(constB110) | v21(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27478, 248])).
% 8.00/6.16 tff(27480,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110)))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27481,plain,
% 8.00/6.16 (v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110))))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27480, 260])).
% 8.00/6.16 tff(27482,plain,
% 8.00/6.16 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB110)) <=> v18(constB110))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27483,plain,
% 8.00/6.16 ((~v4(constB110)) <=> v18(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27482, 269])).
% 8.00/6.16 tff(27484,plain,
% 8.00/6.16 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB110)),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27485,plain,
% 8.00/6.16 (v4(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27484, 278])).
% 8.00/6.16 tff(27486,plain,
% 8.00/6.16 ((~((~v4(constB110)) <=> v18(constB110))) | (~v4(constB110)) | (~v18(constB110))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27487,plain,
% 8.00/6.16 (~v18(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27486, 27485, 27483])).
% 8.00/6.16 tff(27488,plain,
% 8.00/6.16 ((~(v18(constB110) <=> (~((~v19(constB110)) | (~v22(constB110)))))) | v18(constB110) | ((~v19(constB110)) | (~v22(constB110)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27489,plain,
% 8.00/6.16 ((~v19(constB110)) | (~v22(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27488, 27487, 27481])).
% 8.00/6.16 tff(27490,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB110) <=> (v1(constB110) | v6(constB110)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27491,plain,
% 8.00/6.16 (v22(constB110) <=> (v1(constB110) | v6(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27490, 291])).
% 8.00/6.16 tff(27492,plain,
% 8.00/6.16 ((v1(constB110) | v6(constB110)) | (~v1(constB110))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27493,plain,
% 8.00/6.16 (v1(constB110) | v6(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27492, 15574])).
% 8.00/6.16 tff(27494,plain,
% 8.00/6.16 ((~(v22(constB110) <=> (v1(constB110) | v6(constB110)))) | v22(constB110) | (~(v1(constB110) | v6(constB110)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27495,plain,
% 8.00/6.16 ((~(v22(constB110) <=> (v1(constB110) | v6(constB110)))) | v22(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27494, 27493])).
% 8.00/6.16 tff(27496,plain,
% 8.00/6.16 (v22(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27495, 27491])).
% 8.00/6.16 tff(27497,plain,
% 8.00/6.16 ((~((~v19(constB110)) | (~v22(constB110)))) | (~v19(constB110)) | (~v22(constB110))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27498,plain,
% 8.00/6.16 ((~((~v19(constB110)) | (~v22(constB110)))) | (~v19(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27497, 27496])).
% 8.00/6.16 tff(27499,plain,
% 8.00/6.16 (~v19(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27498, 27489])).
% 8.00/6.16 tff(27500,plain,
% 8.00/6.16 ((~(v19(constB110) <=> (v20(constB110) | v21(constB110)))) | v19(constB110) | (~(v20(constB110) | v21(constB110)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27501,plain,
% 8.00/6.16 (~(v20(constB110) | v21(constB110))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27500, 27499, 27479])).
% 8.00/6.16 tff(27502,plain,
% 8.00/6.16 ((v20(constB110) | v21(constB110)) | (~v21(constB110))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27503,plain,
% 8.00/6.16 (~v21(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27502, 27501])).
% 8.00/6.16 tff(27504,plain,
% 8.00/6.16 ((~((~v21(constB110)) <=> v6(constB110))) | v21(constB110) | v6(constB110)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27505,plain,
% 8.00/6.16 (v6(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27504, 27503, 27477])).
% 8.00/6.16 tff(27506,plain,
% 8.00/6.16 ((~(v6(constB110) <=> v13(constB110))) | (~v6(constB110)) | v13(constB110)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27507,plain,
% 8.00/6.16 (v13(constB110)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27506, 27505, 27475])).
% 8.00/6.16 tff(27508,plain,
% 8.00/6.16 ((~(v13(constB110) <=> v9(constB109))) | (~v13(constB110)) | v9(constB109)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27509,plain,
% 8.00/6.16 (v9(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27508, 27507, 27473])).
% 8.00/6.16 tff(27510,plain,
% 8.00/6.16 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB109)) <=> v1(constB109))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27511,plain,
% 8.00/6.16 ((~v39(constB109)) <=> v1(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27510, 129])).
% 8.00/6.16 tff(27512,plain,
% 8.00/6.16 ((~((~v39(constB109)) <=> v1(constB109))) | v39(constB109) | v1(constB109)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27513,plain,
% 8.00/6.16 ((~((~v39(constB109)) <=> v1(constB109))) | v39(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27512, 14899])).
% 8.00/6.16 tff(27514,plain,
% 8.00/6.16 (v39(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27513, 27511])).
% 8.00/6.16 tff(27515,plain,
% 8.00/6.16 ((~((~v39(constB109)) | (~v9(constB109)))) | (~v39(constB109)) | (~v9(constB109))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27516,plain,
% 8.00/6.16 ((~((~v39(constB109)) | (~v9(constB109)))) | (~v9(constB109))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27515, 27514])).
% 8.00/6.16 tff(27517,plain,
% 8.00/6.16 (~((~v39(constB109)) | (~v9(constB109)))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27516, 27509])).
% 8.00/6.16 tff(27518,plain,
% 8.00/6.16 ((~(v184(constB109) <=> (~((~v39(constB109)) | (~v9(constB109)))))) | v184(constB109) | ((~v39(constB109)) | (~v9(constB109)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27519,plain,
% 8.00/6.16 (v184(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27518, 27517, 27469])).
% 8.00/6.16 tff(27520,plain,
% 8.00/6.16 ((v184(constB109) | v26(constB109)) | (~v184(constB109))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27521,plain,
% 8.00/6.16 (v184(constB109) | v26(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27520, 27519])).
% 8.00/6.16 tff(27522,plain,
% 8.00/6.16 ((~(v183(constB109) <=> (v184(constB109) | v26(constB109)))) | v183(constB109) | (~(v184(constB109) | v26(constB109)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27523,plain,
% 8.00/6.16 (v183(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27522, 27521, 27467])).
% 8.00/6.16 tff(27524,plain,
% 8.00/6.16 ((~((~v182(constB109)) <=> v183(constB109))) | (~v182(constB109)) | (~v183(constB109))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27525,plain,
% 8.00/6.16 (~v182(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27524, 27523, 27465])).
% 8.00/6.16 tff(27526,plain,
% 8.00/6.16 (((~v157(constB109)) | (~v182(constB109))) | v182(constB109)),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27527,plain,
% 8.00/6.16 ((~v157(constB109)) | (~v182(constB109))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27526, 27525])).
% 8.00/6.16 tff(27528,plain,
% 8.00/6.16 ((~(v181(constB109) <=> (~((~v157(constB109)) | (~v182(constB109)))))) | (~v181(constB109)) | (~((~v157(constB109)) | (~v182(constB109))))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27529,plain,
% 8.00/6.16 (~v181(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27528, 27527, 27463])).
% 8.00/6.16 tff(27530,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB109) <=> (~((~v186(constB109)) | (~v187(constB109)))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27531,plain,
% 8.00/6.16 (v185(constB109) <=> (~((~v186(constB109)) | (~v187(constB109))))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27530, 96])).
% 8.00/6.16 tff(27532,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB109) <=> (~((~v184(constB109)) | (~v159(constB109)))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27533,plain,
% 8.00/6.16 (v187(constB109) <=> (~((~v184(constB109)) | (~v159(constB109))))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27532, 108])).
% 8.00/6.16 tff(27534,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB109) <=> v161(constB109))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27535,plain,
% 8.00/6.16 (v159(constB109) <=> v161(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27534, 345])).
% 8.00/6.16 tff(27536,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB109) <=> (v145(constB109) | v165(constB109)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27537,plain,
% 8.00/6.16 (v164(constB109) <=> (v145(constB109) | v165(constB109))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27536, 357])).
% 8.00/6.16 tff(27538,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB109) <=> (v142(constB109) | v166(constB109)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27539,plain,
% 8.00/6.16 (v165(constB109) <=> (v142(constB109) | v166(constB109))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27538, 369])).
% 8.00/6.16 tff(27540,plain,
% 8.00/6.16 ((v142(constB109) | v166(constB109)) | (~v142(constB109))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27541,plain,
% 8.00/6.16 (v142(constB109) | v166(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27540, 23575])).
% 8.00/6.16 tff(27542,plain,
% 8.00/6.16 ((~(v165(constB109) <=> (v142(constB109) | v166(constB109)))) | v165(constB109) | (~(v142(constB109) | v166(constB109)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27543,plain,
% 8.00/6.16 ((~(v165(constB109) <=> (v142(constB109) | v166(constB109)))) | v165(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27542, 27541])).
% 8.00/6.16 tff(27544,plain,
% 8.00/6.16 (v165(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27543, 27539])).
% 8.00/6.16 tff(27545,plain,
% 8.00/6.16 ((v145(constB109) | v165(constB109)) | (~v165(constB109))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27546,plain,
% 8.00/6.16 (v145(constB109) | v165(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27545, 27544])).
% 8.00/6.16 tff(27547,plain,
% 8.00/6.16 ((~(v164(constB109) <=> (v145(constB109) | v165(constB109)))) | v164(constB109) | (~(v145(constB109) | v165(constB109)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27548,plain,
% 8.00/6.16 (v164(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27547, 27546, 27537])).
% 8.00/6.16 tff(27549,plain,
% 8.00/6.16 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB109)) | (v161(constB109) <=> v168(constB109)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB109)) | (v161(constB109) <=> v168(constB109)))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27550,plain,
% 8.00/6.16 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB109)) | (v161(constB109) <=> v168(constB109)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27551,plain,
% 8.00/6.16 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB109)) | (v161(constB109) <=> v168(constB109))),
% 8.00/6.16 inference(modus_ponens,[status(thm)],[27550, 27549])).
% 8.00/6.16 tff(27552,plain,
% 8.00/6.16 ((~v164(constB109)) | (v161(constB109) <=> v168(constB109))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27551, 12128])).
% 8.00/6.16 tff(27553,plain,
% 8.00/6.16 (v161(constB109) <=> v168(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27552, 27548])).
% 8.00/6.16 tff(27554,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27555,plain,
% 8.00/6.16 (v139(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2)))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27554, 12146])).
% 8.00/6.16 tff(27556,plain,
% 8.00/6.16 ((v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2)) | (~v88(constB109, bitIndex2))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27557,plain,
% 8.00/6.16 (v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27556, 23559])).
% 8.00/6.16 tff(27558,plain,
% 8.00/6.16 ((~(v139(constB109) <=> (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2))))) | (~v139(constB109)) | (~(v88(constB109, bitIndex0) | v88(constB109, bitIndex1) | v88(constB109, bitIndex2)))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27559,plain,
% 8.00/6.16 (~v139(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27558, 27557, 27555])).
% 8.00/6.16 tff(27560,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB109) <=> (~(v88(constB109, bitIndex1) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex0)))))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27561,plain,
% 8.00/6.16 (v140(constB109) <=> (~(v88(constB109, bitIndex1) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex0))))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27560, 12165])).
% 8.00/6.16 tff(27562,plain,
% 8.00/6.16 ((v88(constB109, bitIndex1) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex0))) | (~v88(constB109, bitIndex2))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27563,plain,
% 8.00/6.16 (v88(constB109, bitIndex1) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex0))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27562, 23559])).
% 8.00/6.16 tff(27564,plain,
% 8.00/6.16 ((~(v140(constB109) <=> (~(v88(constB109, bitIndex1) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex0)))))) | (~v140(constB109)) | (~(v88(constB109, bitIndex1) | v88(constB109, bitIndex2) | (~v88(constB109, bitIndex0))))),
% 8.00/6.16 inference(tautology,[status(thm)],[])).
% 8.00/6.16 tff(27565,plain,
% 8.00/6.16 (~v140(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27564, 27563, 27561])).
% 8.00/6.16 tff(27566,plain,
% 8.00/6.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v168(constB109)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB109) | v140(constB109) | (~v168(constB109)))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27567,plain,
% 8.00/6.16 ((v140(constB109) | v139(constB109) | (~v168(constB109))) <=> (v139(constB109) | v140(constB109) | (~v168(constB109)))),
% 8.00/6.16 inference(rewrite,[status(thm)],[])).
% 8.00/6.16 tff(27568,plain,
% 8.00/6.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v168(constB109)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB109) | v140(constB109) | (~v168(constB109))))),
% 8.00/6.16 inference(monotonicity,[status(thm)],[27567])).
% 8.00/6.16 tff(27569,plain,
% 8.00/6.16 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v168(constB109)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB109) | v140(constB109) | (~v168(constB109)))),
% 8.00/6.16 inference(transitivity,[status(thm)],[27568, 27566])).
% 8.00/6.16 tff(27570,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v168(constB109)))),
% 8.00/6.16 inference(quant_inst,[status(thm)],[])).
% 8.00/6.16 tff(27571,plain,
% 8.00/6.16 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB109) | v140(constB109) | (~v168(constB109))),
% 8.00/6.16 inference(modus_ponens,[status(thm)],[27570, 27569])).
% 8.00/6.16 tff(27572,plain,
% 8.00/6.16 (v139(constB109) | v140(constB109) | (~v168(constB109))),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27571, 12184])).
% 8.00/6.16 tff(27573,plain,
% 8.00/6.16 (~v168(constB109)),
% 8.00/6.16 inference(unit_resolution,[status(thm)],[27572, 27565, 27559])).
% 8.00/6.16 tff(27574,plain,
% 8.00/6.16 ((~(v161(constB109) <=> v168(constB109))) | (~v161(constB109)) | v168(constB109)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27575,plain,
% 8.00/6.17 ((~(v161(constB109) <=> v168(constB109))) | (~v161(constB109))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27574, 27573])).
% 8.00/6.17 tff(27576,plain,
% 8.00/6.17 (~v161(constB109)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27575, 27553])).
% 8.00/6.17 tff(27577,plain,
% 8.00/6.17 ((~(v159(constB109) <=> v161(constB109))) | (~v159(constB109)) | v161(constB109)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27578,plain,
% 8.00/6.17 ((~(v159(constB109) <=> v161(constB109))) | (~v159(constB109))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27577, 27576])).
% 8.00/6.17 tff(27579,plain,
% 8.00/6.17 (~v159(constB109)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27578, 27535])).
% 8.00/6.17 tff(27580,plain,
% 8.00/6.17 (((~v184(constB109)) | (~v159(constB109))) | v159(constB109)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27581,plain,
% 8.00/6.17 ((~v184(constB109)) | (~v159(constB109))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27580, 27579])).
% 8.00/6.17 tff(27582,plain,
% 8.00/6.17 ((~(v187(constB109) <=> (~((~v184(constB109)) | (~v159(constB109)))))) | (~v187(constB109)) | (~((~v184(constB109)) | (~v159(constB109))))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27583,plain,
% 8.00/6.17 (~v187(constB109)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27582, 27581, 27533])).
% 8.00/6.17 tff(27584,plain,
% 8.00/6.17 (((~v186(constB109)) | (~v187(constB109))) | v187(constB109)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27585,plain,
% 8.00/6.17 ((~v186(constB109)) | (~v187(constB109))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27584, 27583])).
% 8.00/6.17 tff(27586,plain,
% 8.00/6.17 ((~(v185(constB109) <=> (~((~v186(constB109)) | (~v187(constB109)))))) | (~v185(constB109)) | (~((~v186(constB109)) | (~v187(constB109))))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27587,plain,
% 8.00/6.17 (~v185(constB109)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27586, 27585, 27531])).
% 8.00/6.17 tff(27588,plain,
% 8.00/6.17 ((~(v181(constB109) | v185(constB109))) | v181(constB109) | v185(constB109)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27589,plain,
% 8.00/6.17 (~(v181(constB109) | v185(constB109))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27588, 27587, 27529])).
% 8.00/6.17 tff(27590,plain,
% 8.00/6.17 ((~(v178(constB109) <=> (v181(constB109) | v185(constB109)))) | (~v178(constB109)) | (v181(constB109) | v185(constB109))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27591,plain,
% 8.00/6.17 (~v178(constB109)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27590, 27589, 27456])).
% 8.00/6.17 tff(27592,plain,
% 8.00/6.17 ((~(v180(constB110) <=> v178(constB109))) | (~v180(constB110)) | v178(constB109)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27593,plain,
% 8.00/6.17 (~v180(constB110)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27592, 27591, 27454])).
% 8.00/6.17 tff(27594,plain,
% 8.00/6.17 ((~(v157(constB110) <=> v180(constB110))) | (~v157(constB110)) | v180(constB110)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27595,plain,
% 8.00/6.17 (~v157(constB110)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27594, 27593, 27450])).
% 8.00/6.17 tff(27596,plain,
% 8.00/6.17 (((~v157(constB110)) | (~v182(constB110))) | v157(constB110)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27597,plain,
% 8.00/6.17 ((~v157(constB110)) | (~v182(constB110))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27596, 27595])).
% 8.00/6.17 tff(27598,plain,
% 8.00/6.17 ((~(v181(constB110) <=> (~((~v157(constB110)) | (~v182(constB110)))))) | (~v181(constB110)) | (~((~v157(constB110)) | (~v182(constB110))))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27599,plain,
% 8.00/6.17 (~v181(constB110)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27598, 27597, 27448])).
% 8.00/6.17 tff(27600,plain,
% 8.00/6.17 ((~(v181(constB110) | v185(constB110))) | v181(constB110) | v185(constB110)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27601,plain,
% 8.00/6.17 (~(v181(constB110) | v185(constB110))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27600, 27599, 27441])).
% 8.00/6.17 tff(27602,plain,
% 8.00/6.17 ((~(v178(constB110) <=> (v181(constB110) | v185(constB110)))) | (~v178(constB110)) | (v181(constB110) | v185(constB110))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27603,plain,
% 8.00/6.17 (~v178(constB110)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27602, 27601, 27416])).
% 8.00/6.17 tff(27604,plain,
% 8.00/6.17 ((~(v180(constB111) <=> v178(constB110))) | (~v180(constB111)) | v178(constB110)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27605,plain,
% 8.00/6.17 (~v180(constB111)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27604, 27603, 27414])).
% 8.00/6.17 tff(27606,plain,
% 8.00/6.17 ($false),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27605, 27410])).
% 8.00/6.17 tff(27607,plain,(~(constB111 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.00/6.17 tff(27608,assumption,(constB35 = VarCurr!0), introduced(assumption)).
% 8.00/6.17 tff(27609,plain,
% 8.00/6.17 (v180(constB35) <=> v180(VarCurr!0)),
% 8.00/6.17 inference(monotonicity,[status(thm)],[27608])).
% 8.00/6.17 tff(27610,plain,
% 8.00/6.17 (v180(VarCurr!0) <=> v180(constB35)),
% 8.00/6.17 inference(symmetry,[status(thm)],[27609])).
% 8.00/6.17 tff(27611,plain,
% 8.00/6.17 (v180(constB35)),
% 8.00/6.17 inference(modus_ponens,[status(thm)],[59, 27610])).
% 8.00/6.17 tff(27612,plain,
% 8.00/6.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB34, constB35)) | (v180(constB35) <=> v178(constB34)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB34, constB35)) | (v180(constB35) <=> v178(constB34)))),
% 8.00/6.17 inference(rewrite,[status(thm)],[])).
% 8.00/6.17 tff(27613,plain,
% 8.00/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB34, constB35)) | (v180(constB35) <=> v178(constB34)))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27614,plain,
% 8.00/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB34, constB35)) | (v180(constB35) <=> v178(constB34))),
% 8.00/6.17 inference(modus_ponens,[status(thm)],[27613, 27612])).
% 8.00/6.17 tff(27615,plain,
% 8.00/6.17 (v180(constB35) <=> v178(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27614, 2767, 70])).
% 8.00/6.17 tff(27616,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB34) <=> (v181(constB34) | v185(constB34)))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27617,plain,
% 8.00/6.17 (v178(constB34) <=> (v181(constB34) | v185(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27616, 84])).
% 8.00/6.17 tff(27618,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB34) <=> (~((~v186(constB34)) | (~v187(constB34)))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27619,plain,
% 8.00/6.17 (v185(constB34) <=> (~((~v186(constB34)) | (~v187(constB34))))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27618, 96])).
% 8.00/6.17 tff(27620,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB34) <=> (~((~v184(constB34)) | (~v159(constB34)))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27621,plain,
% 8.00/6.17 (v187(constB34) <=> (~((~v184(constB34)) | (~v159(constB34))))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27620, 108])).
% 8.00/6.17 tff(27622,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27623,plain,
% 8.00/6.17 (v184(constB34) <=> (~((~v39(constB34)) | (~v9(constB34))))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27622, 120])).
% 8.00/6.17 tff(27624,plain,
% 8.00/6.17 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB34)) <=> v1(constB34))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27625,plain,
% 8.00/6.17 ((~v39(constB34)) <=> v1(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27624, 129])).
% 8.00/6.17 tff(27626,plain,
% 8.00/6.17 ((~((~v39(constB34)) <=> v1(constB34))) | (~v39(constB34)) | (~v1(constB34))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27627,plain,
% 8.00/6.17 ((~((~v39(constB34)) <=> v1(constB34))) | (~v39(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27626, 6669])).
% 8.00/6.17 tff(27628,plain,
% 8.00/6.17 (~v39(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27627, 27625])).
% 8.00/6.17 tff(27629,plain,
% 8.00/6.17 (((~v39(constB34)) | (~v9(constB34))) | v39(constB34)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27630,plain,
% 8.00/6.17 ((~v39(constB34)) | (~v9(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27629, 27628])).
% 8.00/6.17 tff(27631,plain,
% 8.00/6.17 ((~(v184(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))) | (~v184(constB34)) | (~((~v39(constB34)) | (~v9(constB34))))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27632,plain,
% 8.00/6.17 ((~(v184(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))) | (~v184(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27631, 27630])).
% 8.00/6.17 tff(27633,plain,
% 8.00/6.17 (~v184(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27632, 27623])).
% 8.00/6.17 tff(27634,plain,
% 8.00/6.17 (((~v184(constB34)) | (~v159(constB34))) | v184(constB34)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27635,plain,
% 8.00/6.17 ((~v184(constB34)) | (~v159(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27634, 27633])).
% 8.00/6.17 tff(27636,plain,
% 8.00/6.17 ((~(v187(constB34) <=> (~((~v184(constB34)) | (~v159(constB34)))))) | (~v187(constB34)) | (~((~v184(constB34)) | (~v159(constB34))))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27637,plain,
% 8.00/6.17 ((~(v187(constB34) <=> (~((~v184(constB34)) | (~v159(constB34)))))) | (~v187(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27636, 27635])).
% 8.00/6.17 tff(27638,plain,
% 8.00/6.17 (~v187(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27637, 27621])).
% 8.00/6.17 tff(27639,plain,
% 8.00/6.17 (((~v186(constB34)) | (~v187(constB34))) | v187(constB34)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27640,plain,
% 8.00/6.17 ((~v186(constB34)) | (~v187(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27639, 27638])).
% 8.00/6.17 tff(27641,plain,
% 8.00/6.17 ((~(v185(constB34) <=> (~((~v186(constB34)) | (~v187(constB34)))))) | (~v185(constB34)) | (~((~v186(constB34)) | (~v187(constB34))))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27642,plain,
% 8.00/6.17 (~v185(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27641, 27640, 27619])).
% 8.00/6.17 tff(27643,plain,
% 8.00/6.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34))))))),
% 8.00/6.17 inference(rewrite,[status(thm)],[])).
% 8.00/6.17 tff(27644,plain,
% 8.00/6.17 ((v181(constB34) <=> (~((~v182(constB34)) | (~v157(constB34))))) <=> (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34)))))),
% 8.00/6.17 inference(rewrite,[status(thm)],[])).
% 8.00/6.17 tff(27645,plain,
% 8.00/6.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v182(constB34)) | (~v157(constB34)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34))))))),
% 8.00/6.17 inference(monotonicity,[status(thm)],[27644])).
% 8.00/6.17 tff(27646,plain,
% 8.00/6.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v182(constB34)) | (~v157(constB34)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34))))))),
% 8.00/6.17 inference(transitivity,[status(thm)],[27645, 27643])).
% 8.00/6.17 tff(27647,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v182(constB34)) | (~v157(constB34)))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27648,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34)))))),
% 8.00/6.17 inference(modus_ponens,[status(thm)],[27647, 27646])).
% 8.00/6.17 tff(27649,plain,
% 8.00/6.17 (v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34))))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27648, 161])).
% 8.00/6.17 tff(27650,plain,
% 8.00/6.17 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB34) <=> v180(constB34))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27651,plain,
% 8.00/6.17 (v157(constB34) <=> v180(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27650, 13])).
% 8.00/6.17 tff(27652,plain,
% 8.00/6.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB33, constB34)) | (v180(constB34) <=> v178(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB33, constB34)) | (v180(constB34) <=> v178(constB33)))),
% 8.00/6.17 inference(rewrite,[status(thm)],[])).
% 8.00/6.17 tff(27653,plain,
% 8.00/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB33, constB34)) | (v180(constB34) <=> v178(constB33)))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27654,plain,
% 8.00/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB33, constB34)) | (v180(constB34) <=> v178(constB33))),
% 8.00/6.17 inference(modus_ponens,[status(thm)],[27653, 27652])).
% 8.00/6.17 tff(27655,plain,
% 8.00/6.17 (v180(constB34) <=> v178(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27654, 2803, 70])).
% 8.00/6.17 tff(27656,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB33) <=> (v181(constB33) | v185(constB33)))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27657,plain,
% 8.00/6.17 (v178(constB33) <=> (v181(constB33) | v185(constB33))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27656, 84])).
% 8.00/6.17 tff(27658,plain,
% 8.00/6.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33))))))),
% 8.00/6.17 inference(rewrite,[status(thm)],[])).
% 8.00/6.17 tff(27659,plain,
% 8.00/6.17 ((v181(constB33) <=> (~((~v182(constB33)) | (~v157(constB33))))) <=> (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33)))))),
% 8.00/6.17 inference(rewrite,[status(thm)],[])).
% 8.00/6.17 tff(27660,plain,
% 8.00/6.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v182(constB33)) | (~v157(constB33)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33))))))),
% 8.00/6.17 inference(monotonicity,[status(thm)],[27659])).
% 8.00/6.17 tff(27661,plain,
% 8.00/6.17 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v182(constB33)) | (~v157(constB33)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33))))))),
% 8.00/6.17 inference(transitivity,[status(thm)],[27660, 27658])).
% 8.00/6.17 tff(27662,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v182(constB33)) | (~v157(constB33)))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27663,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33)))))),
% 8.00/6.17 inference(modus_ponens,[status(thm)],[27662, 27661])).
% 8.00/6.17 tff(27664,plain,
% 8.00/6.17 (v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33))))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27663, 161])).
% 8.00/6.17 tff(27665,plain,
% 8.00/6.17 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB33)) <=> v183(constB33))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27666,plain,
% 8.00/6.17 ((~v182(constB33)) <=> v183(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27665, 193])).
% 8.00/6.17 tff(27667,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB33) <=> (v184(constB33) | v26(constB33)))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27668,plain,
% 8.00/6.17 (v183(constB33) <=> (v184(constB33) | v26(constB33))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27667, 202])).
% 8.00/6.17 tff(27669,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB33) <=> (~((~v39(constB33)) | (~v9(constB33)))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27670,plain,
% 8.00/6.17 (v184(constB33) <=> (~((~v39(constB33)) | (~v9(constB33))))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27669, 120])).
% 8.00/6.17 tff(27671,plain,
% 8.00/6.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33)))),
% 8.00/6.17 inference(rewrite,[status(thm)],[])).
% 8.00/6.17 tff(27672,plain,
% 8.00/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33)))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27673,plain,
% 8.00/6.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33))),
% 8.00/6.17 inference(modus_ponens,[status(thm)],[27672, 27671])).
% 8.00/6.17 tff(27674,plain,
% 8.00/6.17 (v13(constB34) <=> v9(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27673, 2803, 216])).
% 8.00/6.17 tff(27675,plain,
% 8.00/6.17 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB34) <=> v13(constB34))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27676,plain,
% 8.00/6.17 (v6(constB34) <=> v13(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27675, 230])).
% 8.00/6.17 tff(27677,plain,
% 8.00/6.17 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB34)) <=> v6(constB34))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27678,plain,
% 8.00/6.17 ((~v21(constB34)) <=> v6(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27677, 239])).
% 8.00/6.17 tff(27679,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB34) <=> (v20(constB34) | v21(constB34)))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27680,plain,
% 8.00/6.17 (v19(constB34) <=> (v20(constB34) | v21(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27679, 248])).
% 8.00/6.17 tff(27681,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34)))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27682,plain,
% 8.00/6.17 (v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34))))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27681, 260])).
% 8.00/6.17 tff(27683,plain,
% 8.00/6.17 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB34)) <=> v18(constB34))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27684,plain,
% 8.00/6.17 ((~v4(constB34)) <=> v18(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27683, 269])).
% 8.00/6.17 tff(27685,plain,
% 8.00/6.17 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB34)),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27686,plain,
% 8.00/6.17 (v4(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27685, 278])).
% 8.00/6.17 tff(27687,plain,
% 8.00/6.17 ((~((~v4(constB34)) <=> v18(constB34))) | (~v4(constB34)) | (~v18(constB34))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27688,plain,
% 8.00/6.17 (~v18(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27687, 27686, 27684])).
% 8.00/6.17 tff(27689,plain,
% 8.00/6.17 ((~(v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34)))))) | v18(constB34) | ((~v19(constB34)) | (~v22(constB34)))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27690,plain,
% 8.00/6.17 ((~v19(constB34)) | (~v22(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27689, 27688, 27682])).
% 8.00/6.17 tff(27691,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB34) <=> (v1(constB34) | v6(constB34)))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27692,plain,
% 8.00/6.17 (v22(constB34) <=> (v1(constB34) | v6(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27691, 291])).
% 8.00/6.17 tff(27693,plain,
% 8.00/6.17 ((v1(constB34) | v6(constB34)) | (~v1(constB34))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27694,plain,
% 8.00/6.17 (v1(constB34) | v6(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27693, 6669])).
% 8.00/6.17 tff(27695,plain,
% 8.00/6.17 ((~(v22(constB34) <=> (v1(constB34) | v6(constB34)))) | v22(constB34) | (~(v1(constB34) | v6(constB34)))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27696,plain,
% 8.00/6.17 ((~(v22(constB34) <=> (v1(constB34) | v6(constB34)))) | v22(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27695, 27694])).
% 8.00/6.17 tff(27697,plain,
% 8.00/6.17 (v22(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27696, 27692])).
% 8.00/6.17 tff(27698,plain,
% 8.00/6.17 ((~((~v19(constB34)) | (~v22(constB34)))) | (~v19(constB34)) | (~v22(constB34))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27699,plain,
% 8.00/6.17 ((~((~v19(constB34)) | (~v22(constB34)))) | (~v19(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27698, 27697])).
% 8.00/6.17 tff(27700,plain,
% 8.00/6.17 (~v19(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27699, 27690])).
% 8.00/6.17 tff(27701,plain,
% 8.00/6.17 ((~(v19(constB34) <=> (v20(constB34) | v21(constB34)))) | v19(constB34) | (~(v20(constB34) | v21(constB34)))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27702,plain,
% 8.00/6.17 (~(v20(constB34) | v21(constB34))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27701, 27700, 27680])).
% 8.00/6.17 tff(27703,plain,
% 8.00/6.17 ((v20(constB34) | v21(constB34)) | (~v21(constB34))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27704,plain,
% 8.00/6.17 (~v21(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27703, 27702])).
% 8.00/6.17 tff(27705,plain,
% 8.00/6.17 ((~((~v21(constB34)) <=> v6(constB34))) | v21(constB34) | v6(constB34)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27706,plain,
% 8.00/6.17 (v6(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27705, 27704, 27678])).
% 8.00/6.17 tff(27707,plain,
% 8.00/6.17 ((~(v6(constB34) <=> v13(constB34))) | (~v6(constB34)) | v13(constB34)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27708,plain,
% 8.00/6.17 (v13(constB34)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27707, 27706, 27676])).
% 8.00/6.17 tff(27709,plain,
% 8.00/6.17 ((~(v13(constB34) <=> v9(constB33))) | (~v13(constB34)) | v9(constB33)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27710,plain,
% 8.00/6.17 (v9(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27709, 27708, 27674])).
% 8.00/6.17 tff(27711,plain,
% 8.00/6.17 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB33)) <=> v1(constB33))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27712,plain,
% 8.00/6.17 ((~v39(constB33)) <=> v1(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27711, 129])).
% 8.00/6.17 tff(27713,plain,
% 8.00/6.17 ((~((~v39(constB33)) <=> v1(constB33))) | v39(constB33) | v1(constB33)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27714,plain,
% 8.00/6.17 ((~((~v39(constB33)) <=> v1(constB33))) | v39(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27713, 2847])).
% 8.00/6.17 tff(27715,plain,
% 8.00/6.17 (v39(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27714, 27712])).
% 8.00/6.17 tff(27716,plain,
% 8.00/6.17 ((~((~v39(constB33)) | (~v9(constB33)))) | (~v39(constB33)) | (~v9(constB33))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27717,plain,
% 8.00/6.17 ((~((~v39(constB33)) | (~v9(constB33)))) | (~v9(constB33))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27716, 27715])).
% 8.00/6.17 tff(27718,plain,
% 8.00/6.17 (~((~v39(constB33)) | (~v9(constB33)))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27717, 27710])).
% 8.00/6.17 tff(27719,plain,
% 8.00/6.17 ((~(v184(constB33) <=> (~((~v39(constB33)) | (~v9(constB33)))))) | v184(constB33) | ((~v39(constB33)) | (~v9(constB33)))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27720,plain,
% 8.00/6.17 (v184(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27719, 27718, 27670])).
% 8.00/6.17 tff(27721,plain,
% 8.00/6.17 ((v184(constB33) | v26(constB33)) | (~v184(constB33))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27722,plain,
% 8.00/6.17 (v184(constB33) | v26(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27721, 27720])).
% 8.00/6.17 tff(27723,plain,
% 8.00/6.17 ((~(v183(constB33) <=> (v184(constB33) | v26(constB33)))) | v183(constB33) | (~(v184(constB33) | v26(constB33)))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27724,plain,
% 8.00/6.17 (v183(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27723, 27722, 27668])).
% 8.00/6.17 tff(27725,plain,
% 8.00/6.17 ((~((~v182(constB33)) <=> v183(constB33))) | (~v182(constB33)) | (~v183(constB33))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27726,plain,
% 8.00/6.17 (~v182(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27725, 27724, 27666])).
% 8.00/6.17 tff(27727,plain,
% 8.00/6.17 (((~v157(constB33)) | (~v182(constB33))) | v182(constB33)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27728,plain,
% 8.00/6.17 ((~v157(constB33)) | (~v182(constB33))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27727, 27726])).
% 8.00/6.17 tff(27729,plain,
% 8.00/6.17 ((~(v181(constB33) <=> (~((~v157(constB33)) | (~v182(constB33)))))) | (~v181(constB33)) | (~((~v157(constB33)) | (~v182(constB33))))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27730,plain,
% 8.00/6.17 (~v181(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27729, 27728, 27664])).
% 8.00/6.17 tff(27731,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB33) <=> (~((~v186(constB33)) | (~v187(constB33)))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27732,plain,
% 8.00/6.17 (v185(constB33) <=> (~((~v186(constB33)) | (~v187(constB33))))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27731, 96])).
% 8.00/6.17 tff(27733,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB33) <=> (~((~v184(constB33)) | (~v159(constB33)))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27734,plain,
% 8.00/6.17 (v187(constB33) <=> (~((~v184(constB33)) | (~v159(constB33))))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27733, 108])).
% 8.00/6.17 tff(27735,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB33) <=> v161(constB33))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27736,plain,
% 8.00/6.17 (v159(constB33) <=> v161(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27735, 345])).
% 8.00/6.17 tff(27737,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB33) <=> (v145(constB33) | v165(constB33)))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27738,plain,
% 8.00/6.17 (v164(constB33) <=> (v145(constB33) | v165(constB33))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27737, 357])).
% 8.00/6.17 tff(27739,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB33) <=> (v146(constB33) | v147(constB33)))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27740,plain,
% 8.00/6.17 (v145(constB33) <=> (v146(constB33) | v147(constB33))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27739, 24729])).
% 8.00/6.17 tff(27741,plain,
% 8.00/6.17 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~(v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~(v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0)))))),
% 8.00/6.17 inference(rewrite,[status(thm)],[])).
% 8.00/6.17 tff(27742,plain,
% 8.00/6.17 ((v146(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2))))) <=> (v146(constB33) <=> (~(v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0))))),
% 8.00/6.17 inference(rewrite,[status(thm)],[])).
% 8.00/6.17 tff(27743,plain,
% 8.00/6.17 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~(v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0)))))),
% 8.00/6.17 inference(monotonicity,[status(thm)],[27742])).
% 8.00/6.17 tff(27744,plain,
% 8.00/6.17 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~(v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0)))))),
% 8.00/6.17 inference(transitivity,[status(thm)],[27743, 27741])).
% 8.00/6.17 tff(27745,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27746,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB33) <=> (~(v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0))))),
% 8.00/6.17 inference(modus_ponens,[status(thm)],[27745, 27744])).
% 8.00/6.17 tff(27747,plain,
% 8.00/6.17 (v146(constB33) <=> (~(v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0)))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27746, 24744])).
% 8.00/6.17 tff(27748,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB33, bitIndex1)) <=> v90(constB33, bitIndex1)) | ((~v88(constB33, bitIndex2)) <=> v90(constB33, bitIndex2)) | ((~v88(constB33, bitIndex0)) <=> v90(constB33, bitIndex0))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27749,plain,
% 8.00/6.17 (~(((~v88(constB33, bitIndex1)) <=> v90(constB33, bitIndex1)) | ((~v88(constB33, bitIndex2)) <=> v90(constB33, bitIndex2)) | ((~v88(constB33, bitIndex0)) <=> v90(constB33, bitIndex0)))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27748, 416])).
% 8.00/6.17 tff(27750,plain,
% 8.00/6.17 ((((~v88(constB33, bitIndex1)) <=> v90(constB33, bitIndex1)) | ((~v88(constB33, bitIndex2)) <=> v90(constB33, bitIndex2)) | ((~v88(constB33, bitIndex0)) <=> v90(constB33, bitIndex0))) | (~((~v88(constB33, bitIndex2)) <=> v90(constB33, bitIndex2)))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27751,plain,
% 8.00/6.17 (~((~v88(constB33, bitIndex2)) <=> v90(constB33, bitIndex2))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27750, 27749])).
% 8.00/6.17 tff(27752,plain,
% 8.00/6.17 (((~v88(constB33, bitIndex2)) <=> v90(constB33, bitIndex2)) | v88(constB33, bitIndex2) | (~v90(constB33, bitIndex2))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27753,plain,
% 8.00/6.17 (v88(constB33, bitIndex2)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27752, 6591, 27751])).
% 8.00/6.17 tff(27754,plain,
% 8.00/6.17 ((((~v88(constB33, bitIndex1)) <=> v90(constB33, bitIndex1)) | ((~v88(constB33, bitIndex2)) <=> v90(constB33, bitIndex2)) | ((~v88(constB33, bitIndex0)) <=> v90(constB33, bitIndex0))) | (~((~v88(constB33, bitIndex0)) <=> v90(constB33, bitIndex0)))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27755,plain,
% 8.00/6.17 (~((~v88(constB33, bitIndex0)) <=> v90(constB33, bitIndex0))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27754, 27749])).
% 8.00/6.17 tff(27756,plain,
% 8.00/6.17 (((~v88(constB33, bitIndex0)) <=> v90(constB33, bitIndex0)) | (~v88(constB33, bitIndex0)) | v90(constB33, bitIndex0)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27757,plain,
% 8.00/6.17 (~v88(constB33, bitIndex0)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27756, 6609, 27755])).
% 8.00/6.17 tff(27758,plain,
% 8.00/6.17 ((((~v88(constB33, bitIndex1)) <=> v90(constB33, bitIndex1)) | ((~v88(constB33, bitIndex2)) <=> v90(constB33, bitIndex2)) | ((~v88(constB33, bitIndex0)) <=> v90(constB33, bitIndex0))) | (~((~v88(constB33, bitIndex1)) <=> v90(constB33, bitIndex1)))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27759,plain,
% 8.00/6.17 (~((~v88(constB33, bitIndex1)) <=> v90(constB33, bitIndex1))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27758, 27749])).
% 8.00/6.17 tff(27760,plain,
% 8.00/6.17 (((~v88(constB33, bitIndex1)) <=> v90(constB33, bitIndex1)) | (~v88(constB33, bitIndex1)) | v90(constB33, bitIndex1)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27761,plain,
% 8.00/6.17 (~v88(constB33, bitIndex1)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27760, 6627, 27759])).
% 8.00/6.17 tff(27762,plain,
% 8.00/6.17 ((~(v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0))) | v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0)),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27763,plain,
% 8.00/6.17 (~(v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27762, 27761, 27757, 27753])).
% 8.00/6.17 tff(27764,plain,
% 8.00/6.17 ((~(v146(constB33) <=> (~(v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0))))) | v146(constB33) | (v88(constB33, bitIndex1) | (~v88(constB33, bitIndex2)) | v88(constB33, bitIndex0))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27765,plain,
% 8.00/6.17 (v146(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27764, 27763, 27747])).
% 8.00/6.17 tff(27766,plain,
% 8.00/6.17 ((v146(constB33) | v147(constB33)) | (~v146(constB33))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27767,plain,
% 8.00/6.17 (v146(constB33) | v147(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27766, 27765])).
% 8.00/6.17 tff(27768,plain,
% 8.00/6.17 ((~(v145(constB33) <=> (v146(constB33) | v147(constB33)))) | v145(constB33) | (~(v146(constB33) | v147(constB33)))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27769,plain,
% 8.00/6.17 (v145(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27768, 27767, 27740])).
% 8.00/6.17 tff(27770,plain,
% 8.00/6.17 ((v145(constB33) | v165(constB33)) | (~v145(constB33))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27771,plain,
% 8.00/6.17 (v145(constB33) | v165(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27770, 27769])).
% 8.00/6.17 tff(27772,plain,
% 8.00/6.17 ((~(v164(constB33) <=> (v145(constB33) | v165(constB33)))) | v164(constB33) | (~(v145(constB33) | v165(constB33)))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27773,plain,
% 8.00/6.17 ((~(v164(constB33) <=> (v145(constB33) | v165(constB33)))) | v164(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27772, 27771])).
% 8.00/6.17 tff(27774,plain,
% 8.00/6.17 (v164(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27773, 27738])).
% 8.00/6.17 tff(27775,plain,
% 8.00/6.17 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB33)) | (v161(constB33) <=> v168(constB33)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB33)) | (v161(constB33) <=> v168(constB33)))),
% 8.00/6.17 inference(rewrite,[status(thm)],[])).
% 8.00/6.17 tff(27776,plain,
% 8.00/6.17 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB33)) | (v161(constB33) <=> v168(constB33)))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27777,plain,
% 8.00/6.17 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB33)) | (v161(constB33) <=> v168(constB33))),
% 8.00/6.17 inference(modus_ponens,[status(thm)],[27776, 27775])).
% 8.00/6.17 tff(27778,plain,
% 8.00/6.17 ((~v164(constB33)) | (v161(constB33) <=> v168(constB33))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27777, 12128])).
% 8.00/6.17 tff(27779,plain,
% 8.00/6.17 (v161(constB33) <=> v168(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27778, 27774])).
% 8.00/6.17 tff(27780,plain,
% 8.00/6.17 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2))))),
% 8.00/6.17 inference(quant_inst,[status(thm)],[])).
% 8.00/6.17 tff(27781,plain,
% 8.00/6.17 (v139(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2)))),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27780, 12146])).
% 8.00/6.17 tff(27782,plain,
% 8.00/6.17 ((v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2)) | (~v88(constB33, bitIndex2))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27783,plain,
% 8.00/6.17 (v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27782, 27753])).
% 8.00/6.17 tff(27784,plain,
% 8.00/6.17 ((~(v139(constB33) <=> (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2))))) | (~v139(constB33)) | (~(v88(constB33, bitIndex0) | v88(constB33, bitIndex1) | v88(constB33, bitIndex2)))),
% 8.00/6.17 inference(tautology,[status(thm)],[])).
% 8.00/6.17 tff(27785,plain,
% 8.00/6.17 (~v139(constB33)),
% 8.00/6.17 inference(unit_resolution,[status(thm)],[27784, 27783, 27781])).
% 8.06/6.18 tff(27786,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB33) <=> (~(v88(constB33, bitIndex1) | v88(constB33, bitIndex2) | (~v88(constB33, bitIndex0)))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27787,plain,
% 8.06/6.18 (v140(constB33) <=> (~(v88(constB33, bitIndex1) | v88(constB33, bitIndex2) | (~v88(constB33, bitIndex0))))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27786, 12165])).
% 8.06/6.18 tff(27788,plain,
% 8.06/6.18 ((v88(constB33, bitIndex1) | v88(constB33, bitIndex2) | (~v88(constB33, bitIndex0))) | (~v88(constB33, bitIndex2))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27789,plain,
% 8.06/6.18 (v88(constB33, bitIndex1) | v88(constB33, bitIndex2) | (~v88(constB33, bitIndex0))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27788, 27753])).
% 8.06/6.18 tff(27790,plain,
% 8.06/6.18 ((~(v140(constB33) <=> (~(v88(constB33, bitIndex1) | v88(constB33, bitIndex2) | (~v88(constB33, bitIndex0)))))) | (~v140(constB33)) | (~(v88(constB33, bitIndex1) | v88(constB33, bitIndex2) | (~v88(constB33, bitIndex0))))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27791,plain,
% 8.06/6.18 (~v140(constB33)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27790, 27789, 27787])).
% 8.06/6.18 tff(27792,plain,
% 8.06/6.18 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB33) | v139(constB33) | (~v168(constB33)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB33) | v139(constB33) | (~v168(constB33)))),
% 8.06/6.18 inference(rewrite,[status(thm)],[])).
% 8.06/6.18 tff(27793,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB33) | v139(constB33) | (~v168(constB33)))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27794,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB33) | v139(constB33) | (~v168(constB33))),
% 8.06/6.18 inference(modus_ponens,[status(thm)],[27793, 27792])).
% 8.06/6.18 tff(27795,plain,
% 8.06/6.18 (v140(constB33) | v139(constB33) | (~v168(constB33))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27794, 12184])).
% 8.06/6.18 tff(27796,plain,
% 8.06/6.18 (~v168(constB33)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27795, 27791, 27785])).
% 8.06/6.18 tff(27797,plain,
% 8.06/6.18 ((~(v161(constB33) <=> v168(constB33))) | (~v161(constB33)) | v168(constB33)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27798,plain,
% 8.06/6.18 ((~(v161(constB33) <=> v168(constB33))) | (~v161(constB33))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27797, 27796])).
% 8.06/6.18 tff(27799,plain,
% 8.06/6.18 (~v161(constB33)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27798, 27779])).
% 8.06/6.18 tff(27800,plain,
% 8.06/6.18 ((~(v159(constB33) <=> v161(constB33))) | (~v159(constB33)) | v161(constB33)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27801,plain,
% 8.06/6.18 ((~(v159(constB33) <=> v161(constB33))) | (~v159(constB33))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27800, 27799])).
% 8.06/6.18 tff(27802,plain,
% 8.06/6.18 (~v159(constB33)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27801, 27736])).
% 8.06/6.18 tff(27803,plain,
% 8.06/6.18 (((~v184(constB33)) | (~v159(constB33))) | v159(constB33)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27804,plain,
% 8.06/6.18 ((~v184(constB33)) | (~v159(constB33))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27803, 27802])).
% 8.06/6.18 tff(27805,plain,
% 8.06/6.18 ((~(v187(constB33) <=> (~((~v184(constB33)) | (~v159(constB33)))))) | (~v187(constB33)) | (~((~v184(constB33)) | (~v159(constB33))))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27806,plain,
% 8.06/6.18 (~v187(constB33)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27805, 27804, 27734])).
% 8.06/6.18 tff(27807,plain,
% 8.06/6.18 (((~v186(constB33)) | (~v187(constB33))) | v187(constB33)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27808,plain,
% 8.06/6.18 ((~v186(constB33)) | (~v187(constB33))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27807, 27806])).
% 8.06/6.18 tff(27809,plain,
% 8.06/6.18 ((~(v185(constB33) <=> (~((~v186(constB33)) | (~v187(constB33)))))) | (~v185(constB33)) | (~((~v186(constB33)) | (~v187(constB33))))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27810,plain,
% 8.06/6.18 (~v185(constB33)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27809, 27808, 27732])).
% 8.06/6.18 tff(27811,plain,
% 8.06/6.18 ((~(v181(constB33) | v185(constB33))) | v181(constB33) | v185(constB33)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27812,plain,
% 8.06/6.18 (~(v181(constB33) | v185(constB33))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27811, 27810, 27730])).
% 8.06/6.18 tff(27813,plain,
% 8.06/6.18 ((~(v178(constB33) <=> (v181(constB33) | v185(constB33)))) | (~v178(constB33)) | (v181(constB33) | v185(constB33))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27814,plain,
% 8.06/6.18 (~v178(constB33)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27813, 27812, 27657])).
% 8.06/6.18 tff(27815,plain,
% 8.06/6.18 ((~(v180(constB34) <=> v178(constB33))) | (~v180(constB34)) | v178(constB33)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27816,plain,
% 8.06/6.18 (~v180(constB34)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27815, 27814, 27655])).
% 8.06/6.18 tff(27817,plain,
% 8.06/6.18 ((~(v157(constB34) <=> v180(constB34))) | (~v157(constB34)) | v180(constB34)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27818,plain,
% 8.06/6.18 (~v157(constB34)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27817, 27816, 27651])).
% 8.06/6.18 tff(27819,plain,
% 8.06/6.18 (((~v157(constB34)) | (~v182(constB34))) | v157(constB34)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27820,plain,
% 8.06/6.18 ((~v157(constB34)) | (~v182(constB34))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27819, 27818])).
% 8.06/6.18 tff(27821,plain,
% 8.06/6.18 ((~(v181(constB34) <=> (~((~v157(constB34)) | (~v182(constB34)))))) | (~v181(constB34)) | (~((~v157(constB34)) | (~v182(constB34))))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27822,plain,
% 8.06/6.18 (~v181(constB34)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27821, 27820, 27649])).
% 8.06/6.18 tff(27823,plain,
% 8.06/6.18 ((~(v181(constB34) | v185(constB34))) | v181(constB34) | v185(constB34)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27824,plain,
% 8.06/6.18 (~(v181(constB34) | v185(constB34))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27823, 27822, 27642])).
% 8.06/6.18 tff(27825,plain,
% 8.06/6.18 ((~(v178(constB34) <=> (v181(constB34) | v185(constB34)))) | (~v178(constB34)) | (v181(constB34) | v185(constB34))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27826,plain,
% 8.06/6.18 (~v178(constB34)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27825, 27824, 27617])).
% 8.06/6.18 tff(27827,plain,
% 8.06/6.18 ((~(v180(constB35) <=> v178(constB34))) | (~v180(constB35)) | v178(constB34)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27828,plain,
% 8.06/6.18 (~v180(constB35)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27827, 27826, 27615])).
% 8.06/6.18 tff(27829,plain,
% 8.06/6.18 ($false),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27828, 27611])).
% 8.06/6.18 tff(27830,plain,(~(constB35 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.06/6.18 tff(27831,assumption,(constB47 = VarCurr!0), introduced(assumption)).
% 8.06/6.18 tff(27832,plain,
% 8.06/6.18 (v180(constB47) <=> v180(VarCurr!0)),
% 8.06/6.18 inference(monotonicity,[status(thm)],[27831])).
% 8.06/6.18 tff(27833,plain,
% 8.06/6.18 (v180(VarCurr!0) <=> v180(constB47)),
% 8.06/6.18 inference(symmetry,[status(thm)],[27832])).
% 8.06/6.18 tff(27834,plain,
% 8.06/6.18 (v180(constB47)),
% 8.06/6.18 inference(modus_ponens,[status(thm)],[59, 27833])).
% 8.06/6.18 tff(27835,plain,
% 8.06/6.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB46, constB47)) | (v180(constB47) <=> v178(constB46)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB46, constB47)) | (v180(constB47) <=> v178(constB46)))),
% 8.06/6.18 inference(rewrite,[status(thm)],[])).
% 8.06/6.18 tff(27836,plain,
% 8.06/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB46, constB47)) | (v180(constB47) <=> v178(constB46)))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27837,plain,
% 8.06/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB46, constB47)) | (v180(constB47) <=> v178(constB46))),
% 8.06/6.18 inference(modus_ponens,[status(thm)],[27836, 27835])).
% 8.06/6.18 tff(27838,plain,
% 8.06/6.18 (v180(constB47) <=> v178(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27837, 2381, 70])).
% 8.06/6.18 tff(27839,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB46) <=> (v181(constB46) | v185(constB46)))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27840,plain,
% 8.06/6.18 (v178(constB46) <=> (v181(constB46) | v185(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27839, 84])).
% 8.06/6.18 tff(27841,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB46) <=> (~((~v186(constB46)) | (~v187(constB46)))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27842,plain,
% 8.06/6.18 (v185(constB46) <=> (~((~v186(constB46)) | (~v187(constB46))))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27841, 96])).
% 8.06/6.18 tff(27843,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB46) <=> (~((~v184(constB46)) | (~v159(constB46)))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27844,plain,
% 8.06/6.18 (v187(constB46) <=> (~((~v184(constB46)) | (~v159(constB46))))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27843, 108])).
% 8.06/6.18 tff(27845,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27846,plain,
% 8.06/6.18 (v184(constB46) <=> (~((~v39(constB46)) | (~v9(constB46))))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27845, 120])).
% 8.06/6.18 tff(27847,plain,
% 8.06/6.18 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB46)) <=> v1(constB46))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27848,plain,
% 8.06/6.18 ((~v39(constB46)) <=> v1(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27847, 129])).
% 8.06/6.18 tff(27849,plain,
% 8.06/6.18 ((~((~v39(constB46)) <=> v1(constB46))) | (~v39(constB46)) | (~v1(constB46))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27850,plain,
% 8.06/6.18 ((~((~v39(constB46)) <=> v1(constB46))) | (~v39(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27849, 7604])).
% 8.06/6.18 tff(27851,plain,
% 8.06/6.18 (~v39(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27850, 27848])).
% 8.06/6.18 tff(27852,plain,
% 8.06/6.18 (((~v39(constB46)) | (~v9(constB46))) | v39(constB46)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27853,plain,
% 8.06/6.18 ((~v39(constB46)) | (~v9(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27852, 27851])).
% 8.06/6.18 tff(27854,plain,
% 8.06/6.18 ((~(v184(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))) | (~v184(constB46)) | (~((~v39(constB46)) | (~v9(constB46))))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27855,plain,
% 8.06/6.18 ((~(v184(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))) | (~v184(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27854, 27853])).
% 8.06/6.18 tff(27856,plain,
% 8.06/6.18 (~v184(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27855, 27846])).
% 8.06/6.18 tff(27857,plain,
% 8.06/6.18 (((~v184(constB46)) | (~v159(constB46))) | v184(constB46)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27858,plain,
% 8.06/6.18 ((~v184(constB46)) | (~v159(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27857, 27856])).
% 8.06/6.18 tff(27859,plain,
% 8.06/6.18 ((~(v187(constB46) <=> (~((~v184(constB46)) | (~v159(constB46)))))) | (~v187(constB46)) | (~((~v184(constB46)) | (~v159(constB46))))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27860,plain,
% 8.06/6.18 ((~(v187(constB46) <=> (~((~v184(constB46)) | (~v159(constB46)))))) | (~v187(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27859, 27858])).
% 8.06/6.18 tff(27861,plain,
% 8.06/6.18 (~v187(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27860, 27844])).
% 8.06/6.18 tff(27862,plain,
% 8.06/6.18 (((~v186(constB46)) | (~v187(constB46))) | v187(constB46)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27863,plain,
% 8.06/6.18 ((~v186(constB46)) | (~v187(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27862, 27861])).
% 8.06/6.18 tff(27864,plain,
% 8.06/6.18 ((~(v185(constB46) <=> (~((~v186(constB46)) | (~v187(constB46)))))) | (~v185(constB46)) | (~((~v186(constB46)) | (~v187(constB46))))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27865,plain,
% 8.06/6.18 (~v185(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27864, 27863, 27842])).
% 8.06/6.18 tff(27866,plain,
% 8.06/6.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46))))))),
% 8.06/6.18 inference(rewrite,[status(thm)],[])).
% 8.06/6.18 tff(27867,plain,
% 8.06/6.18 ((v181(constB46) <=> (~((~v182(constB46)) | (~v157(constB46))))) <=> (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46)))))),
% 8.06/6.18 inference(rewrite,[status(thm)],[])).
% 8.06/6.18 tff(27868,plain,
% 8.06/6.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v182(constB46)) | (~v157(constB46)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46))))))),
% 8.06/6.18 inference(monotonicity,[status(thm)],[27867])).
% 8.06/6.18 tff(27869,plain,
% 8.06/6.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v182(constB46)) | (~v157(constB46)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46))))))),
% 8.06/6.18 inference(transitivity,[status(thm)],[27868, 27866])).
% 8.06/6.18 tff(27870,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v182(constB46)) | (~v157(constB46)))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27871,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46)))))),
% 8.06/6.18 inference(modus_ponens,[status(thm)],[27870, 27869])).
% 8.06/6.18 tff(27872,plain,
% 8.06/6.18 (v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46))))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27871, 161])).
% 8.06/6.18 tff(27873,plain,
% 8.06/6.18 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB46) <=> v180(constB46))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27874,plain,
% 8.06/6.18 (v157(constB46) <=> v180(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27873, 13])).
% 8.06/6.18 tff(27875,plain,
% 8.06/6.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB45, constB46)) | (v180(constB46) <=> v178(constB45)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB45, constB46)) | (v180(constB46) <=> v178(constB45)))),
% 8.06/6.18 inference(rewrite,[status(thm)],[])).
% 8.06/6.18 tff(27876,plain,
% 8.06/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB45, constB46)) | (v180(constB46) <=> v178(constB45)))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27877,plain,
% 8.06/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB45, constB46)) | (v180(constB46) <=> v178(constB45))),
% 8.06/6.18 inference(modus_ponens,[status(thm)],[27876, 27875])).
% 8.06/6.18 tff(27878,plain,
% 8.06/6.18 (v180(constB46) <=> v178(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27877, 2417, 70])).
% 8.06/6.18 tff(27879,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB45) <=> (v181(constB45) | v185(constB45)))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27880,plain,
% 8.06/6.18 (v178(constB45) <=> (v181(constB45) | v185(constB45))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27879, 84])).
% 8.06/6.18 tff(27881,plain,
% 8.06/6.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45))))))),
% 8.06/6.18 inference(rewrite,[status(thm)],[])).
% 8.06/6.18 tff(27882,plain,
% 8.06/6.18 ((v181(constB45) <=> (~((~v182(constB45)) | (~v157(constB45))))) <=> (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45)))))),
% 8.06/6.18 inference(rewrite,[status(thm)],[])).
% 8.06/6.18 tff(27883,plain,
% 8.06/6.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v182(constB45)) | (~v157(constB45)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45))))))),
% 8.06/6.18 inference(monotonicity,[status(thm)],[27882])).
% 8.06/6.18 tff(27884,plain,
% 8.06/6.18 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v182(constB45)) | (~v157(constB45)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45))))))),
% 8.06/6.18 inference(transitivity,[status(thm)],[27883, 27881])).
% 8.06/6.18 tff(27885,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v182(constB45)) | (~v157(constB45)))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27886,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45)))))),
% 8.06/6.18 inference(modus_ponens,[status(thm)],[27885, 27884])).
% 8.06/6.18 tff(27887,plain,
% 8.06/6.18 (v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45))))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27886, 161])).
% 8.06/6.18 tff(27888,plain,
% 8.06/6.18 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB45)) <=> v183(constB45))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27889,plain,
% 8.06/6.18 ((~v182(constB45)) <=> v183(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27888, 193])).
% 8.06/6.18 tff(27890,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB45) <=> (v184(constB45) | v26(constB45)))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27891,plain,
% 8.06/6.18 (v183(constB45) <=> (v184(constB45) | v26(constB45))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27890, 202])).
% 8.06/6.18 tff(27892,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB45) <=> (~((~v39(constB45)) | (~v9(constB45)))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27893,plain,
% 8.06/6.18 (v184(constB45) <=> (~((~v39(constB45)) | (~v9(constB45))))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27892, 120])).
% 8.06/6.18 tff(27894,plain,
% 8.06/6.18 (((~![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)))),
% 8.06/6.18 inference(rewrite,[status(thm)],[])).
% 8.06/6.18 tff(27895,plain,
% 8.06/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45)))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27896,plain,
% 8.06/6.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45))),
% 8.06/6.18 inference(modus_ponens,[status(thm)],[27895, 27894])).
% 8.06/6.18 tff(27897,plain,
% 8.06/6.18 (v13(constB46) <=> v9(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27896, 2417, 216])).
% 8.06/6.18 tff(27898,plain,
% 8.06/6.18 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB46) <=> v13(constB46))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27899,plain,
% 8.06/6.18 (v6(constB46) <=> v13(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27898, 230])).
% 8.06/6.18 tff(27900,plain,
% 8.06/6.18 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB46)) <=> v6(constB46))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27901,plain,
% 8.06/6.18 ((~v21(constB46)) <=> v6(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27900, 239])).
% 8.06/6.18 tff(27902,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB46) <=> (v20(constB46) | v21(constB46)))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27903,plain,
% 8.06/6.18 (v19(constB46) <=> (v20(constB46) | v21(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27902, 248])).
% 8.06/6.18 tff(27904,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46)))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27905,plain,
% 8.06/6.18 (v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46))))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27904, 260])).
% 8.06/6.18 tff(27906,plain,
% 8.06/6.18 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB46)) <=> v18(constB46))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27907,plain,
% 8.06/6.18 ((~v4(constB46)) <=> v18(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27906, 269])).
% 8.06/6.18 tff(27908,plain,
% 8.06/6.18 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB46)),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27909,plain,
% 8.06/6.18 (v4(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27908, 278])).
% 8.06/6.18 tff(27910,plain,
% 8.06/6.18 ((~((~v4(constB46)) <=> v18(constB46))) | (~v4(constB46)) | (~v18(constB46))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27911,plain,
% 8.06/6.18 (~v18(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27910, 27909, 27907])).
% 8.06/6.18 tff(27912,plain,
% 8.06/6.18 ((~(v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46)))))) | v18(constB46) | ((~v19(constB46)) | (~v22(constB46)))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27913,plain,
% 8.06/6.18 ((~v19(constB46)) | (~v22(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27912, 27911, 27905])).
% 8.06/6.18 tff(27914,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB46) <=> (v1(constB46) | v6(constB46)))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27915,plain,
% 8.06/6.18 (v22(constB46) <=> (v1(constB46) | v6(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27914, 291])).
% 8.06/6.18 tff(27916,plain,
% 8.06/6.18 ((v1(constB46) | v6(constB46)) | (~v1(constB46))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27917,plain,
% 8.06/6.18 (v1(constB46) | v6(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27916, 7604])).
% 8.06/6.18 tff(27918,plain,
% 8.06/6.18 ((~(v22(constB46) <=> (v1(constB46) | v6(constB46)))) | v22(constB46) | (~(v1(constB46) | v6(constB46)))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27919,plain,
% 8.06/6.18 ((~(v22(constB46) <=> (v1(constB46) | v6(constB46)))) | v22(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27918, 27917])).
% 8.06/6.18 tff(27920,plain,
% 8.06/6.18 (v22(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27919, 27915])).
% 8.06/6.18 tff(27921,plain,
% 8.06/6.18 ((~((~v19(constB46)) | (~v22(constB46)))) | (~v19(constB46)) | (~v22(constB46))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27922,plain,
% 8.06/6.18 ((~((~v19(constB46)) | (~v22(constB46)))) | (~v19(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27921, 27920])).
% 8.06/6.18 tff(27923,plain,
% 8.06/6.18 (~v19(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27922, 27913])).
% 8.06/6.18 tff(27924,plain,
% 8.06/6.18 ((~(v19(constB46) <=> (v20(constB46) | v21(constB46)))) | v19(constB46) | (~(v20(constB46) | v21(constB46)))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27925,plain,
% 8.06/6.18 (~(v20(constB46) | v21(constB46))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27924, 27923, 27903])).
% 8.06/6.18 tff(27926,plain,
% 8.06/6.18 ((v20(constB46) | v21(constB46)) | (~v21(constB46))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27927,plain,
% 8.06/6.18 (~v21(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27926, 27925])).
% 8.06/6.18 tff(27928,plain,
% 8.06/6.18 ((~((~v21(constB46)) <=> v6(constB46))) | v21(constB46) | v6(constB46)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27929,plain,
% 8.06/6.18 (v6(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27928, 27927, 27901])).
% 8.06/6.18 tff(27930,plain,
% 8.06/6.18 ((~(v6(constB46) <=> v13(constB46))) | (~v6(constB46)) | v13(constB46)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27931,plain,
% 8.06/6.18 (v13(constB46)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27930, 27929, 27899])).
% 8.06/6.18 tff(27932,plain,
% 8.06/6.18 ((~(v13(constB46) <=> v9(constB45))) | (~v13(constB46)) | v9(constB45)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27933,plain,
% 8.06/6.18 (v9(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27932, 27931, 27897])).
% 8.06/6.18 tff(27934,plain,
% 8.06/6.18 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB45)) <=> v1(constB45))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27935,plain,
% 8.06/6.18 ((~v39(constB45)) <=> v1(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27934, 129])).
% 8.06/6.18 tff(27936,plain,
% 8.06/6.18 ((~((~v39(constB45)) <=> v1(constB45))) | v39(constB45) | v1(constB45)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27937,plain,
% 8.06/6.18 ((~((~v39(constB45)) <=> v1(constB45))) | v39(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27936, 2461])).
% 8.06/6.18 tff(27938,plain,
% 8.06/6.18 (v39(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27937, 27935])).
% 8.06/6.18 tff(27939,plain,
% 8.06/6.18 ((~((~v39(constB45)) | (~v9(constB45)))) | (~v39(constB45)) | (~v9(constB45))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27940,plain,
% 8.06/6.18 ((~((~v39(constB45)) | (~v9(constB45)))) | (~v9(constB45))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27939, 27938])).
% 8.06/6.18 tff(27941,plain,
% 8.06/6.18 (~((~v39(constB45)) | (~v9(constB45)))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27940, 27933])).
% 8.06/6.18 tff(27942,plain,
% 8.06/6.18 ((~(v184(constB45) <=> (~((~v39(constB45)) | (~v9(constB45)))))) | v184(constB45) | ((~v39(constB45)) | (~v9(constB45)))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27943,plain,
% 8.06/6.18 (v184(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27942, 27941, 27893])).
% 8.06/6.18 tff(27944,plain,
% 8.06/6.18 ((v184(constB45) | v26(constB45)) | (~v184(constB45))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27945,plain,
% 8.06/6.18 (v184(constB45) | v26(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27944, 27943])).
% 8.06/6.18 tff(27946,plain,
% 8.06/6.18 ((~(v183(constB45) <=> (v184(constB45) | v26(constB45)))) | v183(constB45) | (~(v184(constB45) | v26(constB45)))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27947,plain,
% 8.06/6.18 (v183(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27946, 27945, 27891])).
% 8.06/6.18 tff(27948,plain,
% 8.06/6.18 ((~((~v182(constB45)) <=> v183(constB45))) | (~v182(constB45)) | (~v183(constB45))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27949,plain,
% 8.06/6.18 (~v182(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27948, 27947, 27889])).
% 8.06/6.18 tff(27950,plain,
% 8.06/6.18 (((~v157(constB45)) | (~v182(constB45))) | v182(constB45)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27951,plain,
% 8.06/6.18 ((~v157(constB45)) | (~v182(constB45))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27950, 27949])).
% 8.06/6.18 tff(27952,plain,
% 8.06/6.18 ((~(v181(constB45) <=> (~((~v157(constB45)) | (~v182(constB45)))))) | (~v181(constB45)) | (~((~v157(constB45)) | (~v182(constB45))))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27953,plain,
% 8.06/6.18 (~v181(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27952, 27951, 27887])).
% 8.06/6.18 tff(27954,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB45) <=> (~((~v186(constB45)) | (~v187(constB45)))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27955,plain,
% 8.06/6.18 (v185(constB45) <=> (~((~v186(constB45)) | (~v187(constB45))))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27954, 96])).
% 8.06/6.18 tff(27956,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB45) <=> (~((~v184(constB45)) | (~v159(constB45)))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27957,plain,
% 8.06/6.18 (v187(constB45) <=> (~((~v184(constB45)) | (~v159(constB45))))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27956, 108])).
% 8.06/6.18 tff(27958,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB45) <=> v161(constB45))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27959,plain,
% 8.06/6.18 (v159(constB45) <=> v161(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27958, 345])).
% 8.06/6.18 tff(27960,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB45) <=> (v145(constB45) | v165(constB45)))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27961,plain,
% 8.06/6.18 (v164(constB45) <=> (v145(constB45) | v165(constB45))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27960, 357])).
% 8.06/6.18 tff(27962,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB45) <=> (v146(constB45) | v147(constB45)))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27963,plain,
% 8.06/6.18 (v145(constB45) <=> (v146(constB45) | v147(constB45))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27962, 24729])).
% 8.06/6.18 tff(27964,plain,
% 8.06/6.18 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~(v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~(v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0)))))),
% 8.06/6.18 inference(rewrite,[status(thm)],[])).
% 8.06/6.18 tff(27965,plain,
% 8.06/6.18 ((v146(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2))))) <=> (v146(constB45) <=> (~(v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))))),
% 8.06/6.18 inference(rewrite,[status(thm)],[])).
% 8.06/6.18 tff(27966,plain,
% 8.06/6.18 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~(v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0)))))),
% 8.06/6.18 inference(monotonicity,[status(thm)],[27965])).
% 8.06/6.18 tff(27967,plain,
% 8.06/6.18 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~(v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0)))))),
% 8.06/6.18 inference(transitivity,[status(thm)],[27966, 27964])).
% 8.06/6.18 tff(27968,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27969,plain,
% 8.06/6.18 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB45) <=> (~(v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))))),
% 8.06/6.18 inference(modus_ponens,[status(thm)],[27968, 27967])).
% 8.06/6.18 tff(27970,plain,
% 8.06/6.18 (v146(constB45) <=> (~(v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0)))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27969, 24744])).
% 8.06/6.18 tff(27971,plain,
% 8.06/6.18 ((~![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))))),
% 8.06/6.18 inference(quant_inst,[status(thm)],[])).
% 8.06/6.18 tff(27972,plain,
% 8.06/6.18 (~(((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)) | ((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)) | ((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0)))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27971, 416])).
% 8.06/6.18 tff(27973,plain,
% 8.06/6.18 ((((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)) | ((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)) | ((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0))) | (~((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27974,plain,
% 8.06/6.18 (~((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27973, 27972])).
% 8.06/6.18 tff(27975,plain,
% 8.06/6.18 (((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)) | v88(constB45, bitIndex2) | (~v90(constB45, bitIndex2))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27976,plain,
% 8.06/6.18 (v88(constB45, bitIndex2)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27975, 7526, 27974])).
% 8.06/6.18 tff(27977,plain,
% 8.06/6.18 ((((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)) | ((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)) | ((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0))) | (~((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0)))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27978,plain,
% 8.06/6.18 (~((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27977, 27972])).
% 8.06/6.18 tff(27979,plain,
% 8.06/6.18 (((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0)) | (~v88(constB45, bitIndex0)) | v90(constB45, bitIndex0)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27980,plain,
% 8.06/6.18 (~v88(constB45, bitIndex0)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27979, 7544, 27978])).
% 8.06/6.18 tff(27981,plain,
% 8.06/6.18 ((((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)) | ((~v88(constB45, bitIndex2)) <=> v90(constB45, bitIndex2)) | ((~v88(constB45, bitIndex0)) <=> v90(constB45, bitIndex0))) | (~((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27982,plain,
% 8.06/6.18 (~((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27981, 27972])).
% 8.06/6.18 tff(27983,plain,
% 8.06/6.18 (((~v88(constB45, bitIndex1)) <=> v90(constB45, bitIndex1)) | (~v88(constB45, bitIndex1)) | v90(constB45, bitIndex1)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27984,plain,
% 8.06/6.18 (~v88(constB45, bitIndex1)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27983, 7562, 27982])).
% 8.06/6.18 tff(27985,plain,
% 8.06/6.18 ((~(v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))) | v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0)),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27986,plain,
% 8.06/6.18 (~(v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27985, 27984, 27980, 27976])).
% 8.06/6.18 tff(27987,plain,
% 8.06/6.18 ((~(v146(constB45) <=> (~(v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))))) | v146(constB45) | (v88(constB45, bitIndex1) | (~v88(constB45, bitIndex2)) | v88(constB45, bitIndex0))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27988,plain,
% 8.06/6.18 (v146(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27987, 27986, 27970])).
% 8.06/6.18 tff(27989,plain,
% 8.06/6.18 ((v146(constB45) | v147(constB45)) | (~v146(constB45))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27990,plain,
% 8.06/6.18 (v146(constB45) | v147(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27989, 27988])).
% 8.06/6.18 tff(27991,plain,
% 8.06/6.18 ((~(v145(constB45) <=> (v146(constB45) | v147(constB45)))) | v145(constB45) | (~(v146(constB45) | v147(constB45)))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27992,plain,
% 8.06/6.18 (v145(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27991, 27990, 27963])).
% 8.06/6.18 tff(27993,plain,
% 8.06/6.18 ((v145(constB45) | v165(constB45)) | (~v145(constB45))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27994,plain,
% 8.06/6.18 (v145(constB45) | v165(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27993, 27992])).
% 8.06/6.18 tff(27995,plain,
% 8.06/6.18 ((~(v164(constB45) <=> (v145(constB45) | v165(constB45)))) | v164(constB45) | (~(v145(constB45) | v165(constB45)))),
% 8.06/6.18 inference(tautology,[status(thm)],[])).
% 8.06/6.18 tff(27996,plain,
% 8.06/6.18 ((~(v164(constB45) <=> (v145(constB45) | v165(constB45)))) | v164(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27995, 27994])).
% 8.06/6.18 tff(27997,plain,
% 8.06/6.18 (v164(constB45)),
% 8.06/6.18 inference(unit_resolution,[status(thm)],[27996, 27961])).
% 8.06/6.18 tff(27998,plain,
% 8.06/6.18 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB45)) | (v161(constB45) <=> v168(constB45)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB45)) | (v161(constB45) <=> v168(constB45)))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(27999,plain,
% 8.06/6.19 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB45)) | (v161(constB45) <=> v168(constB45)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28000,plain,
% 8.06/6.19 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB45)) | (v161(constB45) <=> v168(constB45))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[27999, 27998])).
% 8.06/6.19 tff(28001,plain,
% 8.06/6.19 ((~v164(constB45)) | (v161(constB45) <=> v168(constB45))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28000, 12128])).
% 8.06/6.19 tff(28002,plain,
% 8.06/6.19 (v161(constB45) <=> v168(constB45)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28001, 27997])).
% 8.06/6.19 tff(28003,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2))))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28004,plain,
% 8.06/6.19 (v139(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2)))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28003, 12146])).
% 8.06/6.19 tff(28005,plain,
% 8.06/6.19 ((v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex2))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28006,plain,
% 8.06/6.19 (v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28005, 27976])).
% 8.06/6.19 tff(28007,plain,
% 8.06/6.19 ((~(v139(constB45) <=> (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2))))) | (~v139(constB45)) | (~(v88(constB45, bitIndex0) | v88(constB45, bitIndex1) | v88(constB45, bitIndex2)))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28008,plain,
% 8.06/6.19 (~v139(constB45)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28007, 28006, 28004])).
% 8.06/6.19 tff(28009,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB45) <=> (~(v88(constB45, bitIndex1) | v88(constB45, bitIndex2) | (~v88(constB45, bitIndex0)))))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28010,plain,
% 8.06/6.19 (v140(constB45) <=> (~(v88(constB45, bitIndex1) | v88(constB45, bitIndex2) | (~v88(constB45, bitIndex0))))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28009, 12165])).
% 8.06/6.19 tff(28011,plain,
% 8.06/6.19 ((v88(constB45, bitIndex1) | v88(constB45, bitIndex2) | (~v88(constB45, bitIndex0))) | (~v88(constB45, bitIndex2))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28012,plain,
% 8.06/6.19 (v88(constB45, bitIndex1) | v88(constB45, bitIndex2) | (~v88(constB45, bitIndex0))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28011, 27976])).
% 8.06/6.19 tff(28013,plain,
% 8.06/6.19 ((~(v140(constB45) <=> (~(v88(constB45, bitIndex1) | v88(constB45, bitIndex2) | (~v88(constB45, bitIndex0)))))) | (~v140(constB45)) | (~(v88(constB45, bitIndex1) | v88(constB45, bitIndex2) | (~v88(constB45, bitIndex0))))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28014,plain,
% 8.06/6.19 (~v140(constB45)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28013, 28012, 28010])).
% 8.06/6.19 tff(28015,plain,
% 8.06/6.19 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v168(constB45)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB45) | v139(constB45) | (~v168(constB45)))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28016,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v168(constB45)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28017,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB45) | v139(constB45) | (~v168(constB45))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28016, 28015])).
% 8.06/6.19 tff(28018,plain,
% 8.06/6.19 (v140(constB45) | v139(constB45) | (~v168(constB45))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28017, 12184])).
% 8.06/6.19 tff(28019,plain,
% 8.06/6.19 (~v168(constB45)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28018, 28014, 28008])).
% 8.06/6.19 tff(28020,plain,
% 8.06/6.19 ((~(v161(constB45) <=> v168(constB45))) | (~v161(constB45)) | v168(constB45)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28021,plain,
% 8.06/6.19 ((~(v161(constB45) <=> v168(constB45))) | (~v161(constB45))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28020, 28019])).
% 8.06/6.19 tff(28022,plain,
% 8.06/6.19 (~v161(constB45)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28021, 28002])).
% 8.06/6.19 tff(28023,plain,
% 8.06/6.19 ((~(v159(constB45) <=> v161(constB45))) | (~v159(constB45)) | v161(constB45)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28024,plain,
% 8.06/6.19 ((~(v159(constB45) <=> v161(constB45))) | (~v159(constB45))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28023, 28022])).
% 8.06/6.19 tff(28025,plain,
% 8.06/6.19 (~v159(constB45)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28024, 27959])).
% 8.06/6.19 tff(28026,plain,
% 8.06/6.19 (((~v184(constB45)) | (~v159(constB45))) | v159(constB45)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28027,plain,
% 8.06/6.19 ((~v184(constB45)) | (~v159(constB45))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28026, 28025])).
% 8.06/6.19 tff(28028,plain,
% 8.06/6.19 ((~(v187(constB45) <=> (~((~v184(constB45)) | (~v159(constB45)))))) | (~v187(constB45)) | (~((~v184(constB45)) | (~v159(constB45))))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28029,plain,
% 8.06/6.19 (~v187(constB45)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28028, 28027, 27957])).
% 8.06/6.19 tff(28030,plain,
% 8.06/6.19 (((~v186(constB45)) | (~v187(constB45))) | v187(constB45)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28031,plain,
% 8.06/6.19 ((~v186(constB45)) | (~v187(constB45))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28030, 28029])).
% 8.06/6.19 tff(28032,plain,
% 8.06/6.19 ((~(v185(constB45) <=> (~((~v186(constB45)) | (~v187(constB45)))))) | (~v185(constB45)) | (~((~v186(constB45)) | (~v187(constB45))))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28033,plain,
% 8.06/6.19 (~v185(constB45)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28032, 28031, 27955])).
% 8.06/6.19 tff(28034,plain,
% 8.06/6.19 ((~(v181(constB45) | v185(constB45))) | v181(constB45) | v185(constB45)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28035,plain,
% 8.06/6.19 (~(v181(constB45) | v185(constB45))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28034, 28033, 27953])).
% 8.06/6.19 tff(28036,plain,
% 8.06/6.19 ((~(v178(constB45) <=> (v181(constB45) | v185(constB45)))) | (~v178(constB45)) | (v181(constB45) | v185(constB45))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28037,plain,
% 8.06/6.19 (~v178(constB45)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28036, 28035, 27880])).
% 8.06/6.19 tff(28038,plain,
% 8.06/6.19 ((~(v180(constB46) <=> v178(constB45))) | (~v180(constB46)) | v178(constB45)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28039,plain,
% 8.06/6.19 (~v180(constB46)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28038, 28037, 27878])).
% 8.06/6.19 tff(28040,plain,
% 8.06/6.19 ((~(v157(constB46) <=> v180(constB46))) | (~v157(constB46)) | v180(constB46)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28041,plain,
% 8.06/6.19 (~v157(constB46)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28040, 28039, 27874])).
% 8.06/6.19 tff(28042,plain,
% 8.06/6.19 (((~v157(constB46)) | (~v182(constB46))) | v157(constB46)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28043,plain,
% 8.06/6.19 ((~v157(constB46)) | (~v182(constB46))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28042, 28041])).
% 8.06/6.19 tff(28044,plain,
% 8.06/6.19 ((~(v181(constB46) <=> (~((~v157(constB46)) | (~v182(constB46)))))) | (~v181(constB46)) | (~((~v157(constB46)) | (~v182(constB46))))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28045,plain,
% 8.06/6.19 (~v181(constB46)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28044, 28043, 27872])).
% 8.06/6.19 tff(28046,plain,
% 8.06/6.19 ((~(v181(constB46) | v185(constB46))) | v181(constB46) | v185(constB46)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28047,plain,
% 8.06/6.19 (~(v181(constB46) | v185(constB46))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28046, 28045, 27865])).
% 8.06/6.19 tff(28048,plain,
% 8.06/6.19 ((~(v178(constB46) <=> (v181(constB46) | v185(constB46)))) | (~v178(constB46)) | (v181(constB46) | v185(constB46))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28049,plain,
% 8.06/6.19 (~v178(constB46)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28048, 28047, 27840])).
% 8.06/6.19 tff(28050,plain,
% 8.06/6.19 ((~(v180(constB47) <=> v178(constB46))) | (~v180(constB47)) | v178(constB46)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28051,plain,
% 8.06/6.19 (~v180(constB47)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28050, 28049, 27838])).
% 8.06/6.19 tff(28052,plain,
% 8.06/6.19 ($false),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28051, 27834])).
% 8.06/6.19 tff(28053,plain,(~(constB47 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.06/6.19 tff(28054,assumption,(constB3 = VarCurr!0), introduced(assumption)).
% 8.06/6.19 tff(28055,plain,
% 8.06/6.19 (v180(constB3) <=> v180(VarCurr!0)),
% 8.06/6.19 inference(monotonicity,[status(thm)],[28054])).
% 8.06/6.19 tff(28056,plain,
% 8.06/6.19 (v180(VarCurr!0) <=> v180(constB3)),
% 8.06/6.19 inference(symmetry,[status(thm)],[28055])).
% 8.06/6.19 tff(28057,plain,
% 8.06/6.19 (v180(constB3)),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[59, 28056])).
% 8.06/6.19 tff(28058,plain,
% 8.06/6.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB2, constB3)) | (v180(constB3) <=> v178(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB2, constB3)) | (v180(constB3) <=> v178(constB2)))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28059,plain,
% 8.06/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB2, constB3)) | (v180(constB3) <=> v178(constB2)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28060,plain,
% 8.06/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB2, constB3)) | (v180(constB3) <=> v178(constB2))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28059, 28058])).
% 8.06/6.19 tff(28061,plain,
% 8.06/6.19 (v180(constB3) <=> v178(constB2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28060, 3798, 70])).
% 8.06/6.19 tff(28062,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB2) <=> (v181(constB2) | v185(constB2)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28063,plain,
% 8.06/6.19 (v178(constB2) <=> (v181(constB2) | v185(constB2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28062, 84])).
% 8.06/6.19 tff(28064,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB2) <=> (~((~v186(constB2)) | (~v187(constB2)))))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28065,plain,
% 8.06/6.19 (v185(constB2) <=> (~((~v186(constB2)) | (~v187(constB2))))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28064, 96])).
% 8.06/6.19 tff(28066,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB2) <=> (~((~v184(constB2)) | (~v159(constB2)))))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28067,plain,
% 8.06/6.19 (v187(constB2) <=> (~((~v184(constB2)) | (~v159(constB2))))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28066, 108])).
% 8.06/6.19 tff(28068,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28069,plain,
% 8.06/6.19 (v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2))))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28068, 120])).
% 8.06/6.19 tff(28070,plain,
% 8.06/6.19 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB2)) <=> v1(constB2))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28071,plain,
% 8.06/6.19 ((~v39(constB2)) <=> v1(constB2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28070, 129])).
% 8.06/6.19 tff(28072,plain,
% 8.06/6.19 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2)) | (~v1(constB2))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28073,plain,
% 8.06/6.19 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28072, 3992])).
% 8.06/6.19 tff(28074,plain,
% 8.06/6.19 (~v39(constB2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28073, 28071])).
% 8.06/6.19 tff(28075,plain,
% 8.06/6.19 (((~v39(constB2)) | (~v9(constB2))) | v39(constB2)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28076,plain,
% 8.06/6.19 ((~v39(constB2)) | (~v9(constB2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28075, 28074])).
% 8.06/6.19 tff(28077,plain,
% 8.06/6.19 ((~(v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v184(constB2)) | (~((~v39(constB2)) | (~v9(constB2))))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28078,plain,
% 8.06/6.19 ((~(v184(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v184(constB2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28077, 28076])).
% 8.06/6.19 tff(28079,plain,
% 8.06/6.19 (~v184(constB2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28078, 28069])).
% 8.06/6.19 tff(28080,plain,
% 8.06/6.19 (((~v184(constB2)) | (~v159(constB2))) | v184(constB2)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28081,plain,
% 8.06/6.19 ((~v184(constB2)) | (~v159(constB2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28080, 28079])).
% 8.06/6.19 tff(28082,plain,
% 8.06/6.19 ((~(v187(constB2) <=> (~((~v184(constB2)) | (~v159(constB2)))))) | (~v187(constB2)) | (~((~v184(constB2)) | (~v159(constB2))))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28083,plain,
% 8.06/6.19 ((~(v187(constB2) <=> (~((~v184(constB2)) | (~v159(constB2)))))) | (~v187(constB2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28082, 28081])).
% 8.06/6.19 tff(28084,plain,
% 8.06/6.19 (~v187(constB2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28083, 28067])).
% 8.06/6.19 tff(28085,plain,
% 8.06/6.19 (((~v186(constB2)) | (~v187(constB2))) | v187(constB2)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28086,plain,
% 8.06/6.19 ((~v186(constB2)) | (~v187(constB2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28085, 28084])).
% 8.06/6.19 tff(28087,plain,
% 8.06/6.19 ((~(v185(constB2) <=> (~((~v186(constB2)) | (~v187(constB2)))))) | (~v185(constB2)) | (~((~v186(constB2)) | (~v187(constB2))))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28088,plain,
% 8.06/6.19 (~v185(constB2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28087, 28086, 28065])).
% 8.06/6.19 tff(28089,plain,
% 8.06/6.19 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2))))))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28090,plain,
% 8.06/6.19 ((v181(constB2) <=> (~((~v182(constB2)) | (~v157(constB2))))) <=> (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2)))))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28091,plain,
% 8.06/6.19 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v182(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2))))))),
% 8.06/6.19 inference(monotonicity,[status(thm)],[28090])).
% 8.06/6.19 tff(28092,plain,
% 8.06/6.19 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v182(constB2)) | (~v157(constB2)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2))))))),
% 8.06/6.19 inference(transitivity,[status(thm)],[28091, 28089])).
% 8.06/6.19 tff(28093,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v182(constB2)) | (~v157(constB2)))))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28094,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2)))))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28093, 28092])).
% 8.06/6.19 tff(28095,plain,
% 8.06/6.19 (v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2))))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28094, 161])).
% 8.06/6.19 tff(28096,plain,
% 8.06/6.19 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB2) <=> v180(constB2))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28097,plain,
% 8.06/6.19 (v157(constB2) <=> v180(constB2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28096, 13])).
% 8.06/6.19 tff(28098,plain,
% 8.06/6.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB1, constB2)) | (v180(constB2) <=> v178(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB1, constB2)) | (v180(constB2) <=> v178(constB1)))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28099,plain,
% 8.06/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB1, constB2)) | (v180(constB2) <=> v178(constB1)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28100,plain,
% 8.06/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB1, constB2)) | (v180(constB2) <=> v178(constB1))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28099, 28098])).
% 8.06/6.19 tff(28101,plain,
% 8.06/6.19 (v180(constB2) <=> v178(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28100, 3834, 70])).
% 8.06/6.19 tff(28102,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB1) <=> (v181(constB1) | v185(constB1)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28103,plain,
% 8.06/6.19 (v178(constB1) <=> (v181(constB1) | v185(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28102, 84])).
% 8.06/6.19 tff(28104,plain,
% 8.06/6.19 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1))))))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28105,plain,
% 8.06/6.19 ((v181(constB1) <=> (~((~v182(constB1)) | (~v157(constB1))))) <=> (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1)))))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28106,plain,
% 8.06/6.19 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v182(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1))))))),
% 8.06/6.19 inference(monotonicity,[status(thm)],[28105])).
% 8.06/6.19 tff(28107,plain,
% 8.06/6.19 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v182(constB1)) | (~v157(constB1)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1))))))),
% 8.06/6.19 inference(transitivity,[status(thm)],[28106, 28104])).
% 8.06/6.19 tff(28108,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v182(constB1)) | (~v157(constB1)))))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28109,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1)))))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28108, 28107])).
% 8.06/6.19 tff(28110,plain,
% 8.06/6.19 (v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1))))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28109, 161])).
% 8.06/6.19 tff(28111,plain,
% 8.06/6.19 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB1) <=> v180(constB1))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28112,plain,
% 8.06/6.19 (v157(constB1) <=> v180(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28111, 13])).
% 8.06/6.19 tff(28113,plain,
% 8.06/6.19 ((~(v157(constB1) <=> v180(constB1))) | (~v157(constB1)) | v180(constB1)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28114,plain,
% 8.06/6.19 (~v157(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28113, 23072, 28112])).
% 8.06/6.19 tff(28115,plain,
% 8.06/6.19 (((~v157(constB1)) | (~v182(constB1))) | v157(constB1)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28116,plain,
% 8.06/6.19 ((~v157(constB1)) | (~v182(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28115, 28114])).
% 8.06/6.19 tff(28117,plain,
% 8.06/6.19 ((~(v181(constB1) <=> (~((~v157(constB1)) | (~v182(constB1)))))) | (~v181(constB1)) | (~((~v157(constB1)) | (~v182(constB1))))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28118,plain,
% 8.06/6.19 (~v181(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28117, 28116, 28110])).
% 8.06/6.19 tff(28119,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB1) <=> (~((~v186(constB1)) | (~v187(constB1)))))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28120,plain,
% 8.06/6.19 (v185(constB1) <=> (~((~v186(constB1)) | (~v187(constB1))))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28119, 96])).
% 8.06/6.19 tff(28121,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB1) <=> (~((~v184(constB1)) | (~v159(constB1)))))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28122,plain,
% 8.06/6.19 (v187(constB1) <=> (~((~v184(constB1)) | (~v159(constB1))))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28121, 108])).
% 8.06/6.19 tff(28123,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB1) <=> v161(constB1))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28124,plain,
% 8.06/6.19 (v159(constB1) <=> v161(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28123, 345])).
% 8.06/6.19 tff(28125,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB1) <=> (v145(constB1) | v165(constB1)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28126,plain,
% 8.06/6.19 (v164(constB1) <=> (v145(constB1) | v165(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28125, 357])).
% 8.06/6.19 tff(28127,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB1) <=> (v142(constB1) | v166(constB1)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28128,plain,
% 8.06/6.19 (v165(constB1) <=> (v142(constB1) | v166(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28127, 369])).
% 8.06/6.19 tff(28129,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB1) <=> (v141(constB1) | v167(constB1)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28130,plain,
% 8.06/6.19 (v166(constB1) <=> (v141(constB1) | v167(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28129, 381])).
% 8.06/6.19 tff(28131,plain,
% 8.06/6.19 (^[VarCurr: $i] : refl((v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))))),
% 8.06/6.19 inference(bind,[status(th)],[])).
% 8.06/6.19 tff(28132,plain,
% 8.06/6.19 (![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 8.06/6.19 inference(quant_intro,[status(thm)],[28131])).
% 8.06/6.19 tff(28133,plain,
% 8.06/6.19 (![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr))) <=> ![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28134,axiom,(![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36')).
% 8.06/6.19 tff(28135,plain,
% 8.06/6.19 (![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28134, 28133])).
% 8.06/6.19 tff(28136,plain,(
% 8.06/6.19 ![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 8.06/6.19 inference(skolemize,[status(sab)],[28135])).
% 8.06/6.19 tff(28137,plain,
% 8.06/6.19 (![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28136, 28132])).
% 8.06/6.19 tff(28138,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v167(VarCurr) <=> (v139(VarCurr) | v140(VarCurr)))) | (v167(constB1) <=> (v139(constB1) | v140(constB1)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28139,plain,
% 8.06/6.19 (v167(constB1) <=> (v139(constB1) | v140(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28138, 28137])).
% 8.06/6.19 tff(28140,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB1) <=> (~(v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2))))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28141,plain,
% 8.06/6.19 (v139(constB1) <=> (~(v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2)))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28140, 12146])).
% 8.06/6.19 tff(28142,plain,
% 8.06/6.19 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB1, bitIndex1)) <=> v90(constB1, bitIndex1)) | ((~v88(constB1, bitIndex2)) <=> v90(constB1, bitIndex2)) | ((~v88(constB1, bitIndex0)) <=> v90(constB1, bitIndex0))))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28143,plain,
% 8.06/6.19 (~(((~v88(constB1, bitIndex1)) <=> v90(constB1, bitIndex1)) | ((~v88(constB1, bitIndex2)) <=> v90(constB1, bitIndex2)) | ((~v88(constB1, bitIndex0)) <=> v90(constB1, bitIndex0)))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28142, 416])).
% 8.06/6.19 tff(28144,plain,
% 8.06/6.19 ((((~v88(constB1, bitIndex1)) <=> v90(constB1, bitIndex1)) | ((~v88(constB1, bitIndex2)) <=> v90(constB1, bitIndex2)) | ((~v88(constB1, bitIndex0)) <=> v90(constB1, bitIndex0))) | (~((~v88(constB1, bitIndex0)) <=> v90(constB1, bitIndex0)))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28145,plain,
% 8.06/6.19 (~((~v88(constB1, bitIndex0)) <=> v90(constB1, bitIndex0))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28144, 28143])).
% 8.06/6.19 tff(28146,plain,
% 8.06/6.19 (((~v88(constB1, bitIndex0)) <=> v90(constB1, bitIndex0)) | (~v88(constB1, bitIndex0)) | v90(constB1, bitIndex0)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28147,plain,
% 8.06/6.19 (((~v88(constB1, bitIndex0)) <=> v90(constB1, bitIndex0)) | (~v88(constB1, bitIndex0))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28146, 3898])).
% 8.06/6.19 tff(28148,plain,
% 8.06/6.19 (~v88(constB1, bitIndex0)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28147, 28145])).
% 8.06/6.19 tff(28149,plain,
% 8.06/6.19 ((((~v88(constB1, bitIndex1)) <=> v90(constB1, bitIndex1)) | ((~v88(constB1, bitIndex2)) <=> v90(constB1, bitIndex2)) | ((~v88(constB1, bitIndex0)) <=> v90(constB1, bitIndex0))) | (~((~v88(constB1, bitIndex2)) <=> v90(constB1, bitIndex2)))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28150,plain,
% 8.06/6.19 (~((~v88(constB1, bitIndex2)) <=> v90(constB1, bitIndex2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28149, 28143])).
% 8.06/6.19 tff(28151,plain,
% 8.06/6.19 (((~v88(constB1, bitIndex2)) <=> v90(constB1, bitIndex2)) | (~v88(constB1, bitIndex2)) | v90(constB1, bitIndex2)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28152,plain,
% 8.06/6.19 (((~v88(constB1, bitIndex2)) <=> v90(constB1, bitIndex2)) | (~v88(constB1, bitIndex2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28151, 3906])).
% 8.06/6.19 tff(28153,plain,
% 8.06/6.19 (~v88(constB1, bitIndex2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28152, 28150])).
% 8.06/6.19 tff(28154,plain,
% 8.06/6.19 ((((~v88(constB1, bitIndex1)) <=> v90(constB1, bitIndex1)) | ((~v88(constB1, bitIndex2)) <=> v90(constB1, bitIndex2)) | ((~v88(constB1, bitIndex0)) <=> v90(constB1, bitIndex0))) | (~((~v88(constB1, bitIndex1)) <=> v90(constB1, bitIndex1)))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28155,plain,
% 8.06/6.19 (~((~v88(constB1, bitIndex1)) <=> v90(constB1, bitIndex1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28154, 28143])).
% 8.06/6.19 tff(28156,plain,
% 8.06/6.19 (((~v88(constB1, bitIndex1)) <=> v90(constB1, bitIndex1)) | (~v88(constB1, bitIndex1)) | v90(constB1, bitIndex1)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28157,plain,
% 8.06/6.19 (((~v88(constB1, bitIndex1)) <=> v90(constB1, bitIndex1)) | (~v88(constB1, bitIndex1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28156, 3914])).
% 8.06/6.19 tff(28158,plain,
% 8.06/6.19 (~v88(constB1, bitIndex1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28157, 28155])).
% 8.06/6.19 tff(28159,plain,
% 8.06/6.19 ((~(v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2))) | v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28160,plain,
% 8.06/6.19 (~(v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28159, 28158, 28153, 28148])).
% 8.06/6.19 tff(28161,plain,
% 8.06/6.19 ((~(v139(constB1) <=> (~(v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2))))) | v139(constB1) | (v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28162,plain,
% 8.06/6.19 ((~(v139(constB1) <=> (~(v88(constB1, bitIndex0) | v88(constB1, bitIndex1) | v88(constB1, bitIndex2))))) | v139(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28161, 28160])).
% 8.06/6.19 tff(28163,plain,
% 8.06/6.19 (v139(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28162, 28141])).
% 8.06/6.19 tff(28164,plain,
% 8.06/6.19 ((v139(constB1) | v140(constB1)) | (~v139(constB1))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28165,plain,
% 8.06/6.19 (v139(constB1) | v140(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28164, 28163])).
% 8.06/6.19 tff(28166,plain,
% 8.06/6.19 ((~(v167(constB1) <=> (v139(constB1) | v140(constB1)))) | v167(constB1) | (~(v139(constB1) | v140(constB1)))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28167,plain,
% 8.06/6.19 ((~(v167(constB1) <=> (v139(constB1) | v140(constB1)))) | v167(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28166, 28165])).
% 8.06/6.19 tff(28168,plain,
% 8.06/6.19 (v167(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28167, 28139])).
% 8.06/6.19 tff(28169,plain,
% 8.06/6.19 ((v141(constB1) | v167(constB1)) | (~v167(constB1))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28170,plain,
% 8.06/6.19 (v141(constB1) | v167(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28169, 28168])).
% 8.06/6.19 tff(28171,plain,
% 8.06/6.19 ((~(v166(constB1) <=> (v141(constB1) | v167(constB1)))) | v166(constB1) | (~(v141(constB1) | v167(constB1)))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28172,plain,
% 8.06/6.19 (v166(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28171, 28170, 28130])).
% 8.06/6.19 tff(28173,plain,
% 8.06/6.19 ((v142(constB1) | v166(constB1)) | (~v166(constB1))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28174,plain,
% 8.06/6.19 (v142(constB1) | v166(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28173, 28172])).
% 8.06/6.19 tff(28175,plain,
% 8.06/6.19 ((~(v165(constB1) <=> (v142(constB1) | v166(constB1)))) | v165(constB1) | (~(v142(constB1) | v166(constB1)))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28176,plain,
% 8.06/6.19 ((~(v165(constB1) <=> (v142(constB1) | v166(constB1)))) | v165(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28175, 28174])).
% 8.06/6.19 tff(28177,plain,
% 8.06/6.19 (v165(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28176, 28128])).
% 8.06/6.19 tff(28178,plain,
% 8.06/6.19 ((v145(constB1) | v165(constB1)) | (~v165(constB1))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28179,plain,
% 8.06/6.19 (v145(constB1) | v165(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28178, 28177])).
% 8.06/6.19 tff(28180,plain,
% 8.06/6.19 ((~(v164(constB1) <=> (v145(constB1) | v165(constB1)))) | v164(constB1) | (~(v145(constB1) | v165(constB1)))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28181,plain,
% 8.06/6.19 (v164(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28180, 28179, 28126])).
% 8.06/6.19 tff(28182,plain,
% 8.06/6.19 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB1)) | (v161(constB1) <=> v168(constB1)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB1)) | (v161(constB1) <=> v168(constB1)))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28183,plain,
% 8.06/6.19 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB1)) | (v161(constB1) <=> v168(constB1)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28184,plain,
% 8.06/6.19 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB1)) | (v161(constB1) <=> v168(constB1))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28183, 28182])).
% 8.06/6.19 tff(28185,plain,
% 8.06/6.19 ((~v164(constB1)) | (v161(constB1) <=> v168(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28184, 12128])).
% 8.06/6.19 tff(28186,plain,
% 8.06/6.19 (v161(constB1) <=> v168(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28185, 28181])).
% 8.06/6.19 tff(28187,plain,
% 8.06/6.19 (^[VarCurr: $i] : refl(((~v139(VarCurr)) | (~v168(VarCurr))) <=> ((~v139(VarCurr)) | (~v168(VarCurr))))),
% 8.06/6.19 inference(bind,[status(th)],[])).
% 8.06/6.19 tff(28188,plain,
% 8.06/6.19 (![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr))) <=> ![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 8.06/6.19 inference(quant_intro,[status(thm)],[28187])).
% 8.06/6.19 tff(28189,plain,
% 8.06/6.19 (![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr))) <=> ![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28190,plain,
% 8.06/6.19 (^[VarCurr: $i] : trans(monotonicity(rewrite((v168(VarCurr) <=> $false) <=> (~v168(VarCurr))), ((v139(VarCurr) => (v168(VarCurr) <=> $false)) <=> (v139(VarCurr) => (~v168(VarCurr))))), rewrite((v139(VarCurr) => (~v168(VarCurr))) <=> ((~v139(VarCurr)) | (~v168(VarCurr)))), ((v139(VarCurr) => (v168(VarCurr) <=> $false)) <=> ((~v139(VarCurr)) | (~v168(VarCurr)))))),
% 8.06/6.19 inference(bind,[status(th)],[])).
% 8.06/6.19 tff(28191,plain,
% 8.06/6.19 (![VarCurr: $i] : (v139(VarCurr) => (v168(VarCurr) <=> $false)) <=> ![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 8.06/6.19 inference(quant_intro,[status(thm)],[28190])).
% 8.06/6.19 tff(28192,axiom,(![VarCurr: $i] : (v139(VarCurr) => (v168(VarCurr) <=> $false))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3')).
% 8.06/6.19 tff(28193,plain,
% 8.06/6.19 (![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28192, 28191])).
% 8.06/6.19 tff(28194,plain,
% 8.06/6.19 (![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28193, 28189])).
% 8.06/6.19 tff(28195,plain,(
% 8.06/6.19 ![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 8.06/6.19 inference(skolemize,[status(sab)],[28194])).
% 8.06/6.19 tff(28196,plain,
% 8.06/6.19 (![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr)))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28195, 28188])).
% 8.06/6.19 tff(28197,plain,
% 8.06/6.19 (((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | ((~v139(constB1)) | (~v168(constB1)))) <=> ((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | (~v139(constB1)) | (~v168(constB1)))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28198,plain,
% 8.06/6.19 ((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | ((~v139(constB1)) | (~v168(constB1)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28199,plain,
% 8.06/6.19 ((~![VarCurr: $i] : ((~v139(VarCurr)) | (~v168(VarCurr)))) | (~v139(constB1)) | (~v168(constB1))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28198, 28197])).
% 8.06/6.19 tff(28200,plain,
% 8.06/6.19 (~v168(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28199, 28196, 28163])).
% 8.06/6.19 tff(28201,plain,
% 8.06/6.19 ((~(v161(constB1) <=> v168(constB1))) | (~v161(constB1)) | v168(constB1)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28202,plain,
% 8.06/6.19 ((~(v161(constB1) <=> v168(constB1))) | (~v161(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28201, 28200])).
% 8.06/6.19 tff(28203,plain,
% 8.06/6.19 (~v161(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28202, 28186])).
% 8.06/6.19 tff(28204,plain,
% 8.06/6.19 ((~(v159(constB1) <=> v161(constB1))) | (~v159(constB1)) | v161(constB1)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28205,plain,
% 8.06/6.19 ((~(v159(constB1) <=> v161(constB1))) | (~v159(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28204, 28203])).
% 8.06/6.19 tff(28206,plain,
% 8.06/6.19 (~v159(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28205, 28124])).
% 8.06/6.19 tff(28207,plain,
% 8.06/6.19 (((~v184(constB1)) | (~v159(constB1))) | v159(constB1)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28208,plain,
% 8.06/6.19 ((~v184(constB1)) | (~v159(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28207, 28206])).
% 8.06/6.19 tff(28209,plain,
% 8.06/6.19 ((~(v187(constB1) <=> (~((~v184(constB1)) | (~v159(constB1)))))) | (~v187(constB1)) | (~((~v184(constB1)) | (~v159(constB1))))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28210,plain,
% 8.06/6.19 (~v187(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28209, 28208, 28122])).
% 8.06/6.19 tff(28211,plain,
% 8.06/6.19 (((~v186(constB1)) | (~v187(constB1))) | v187(constB1)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28212,plain,
% 8.06/6.19 ((~v186(constB1)) | (~v187(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28211, 28210])).
% 8.06/6.19 tff(28213,plain,
% 8.06/6.19 ((~(v185(constB1) <=> (~((~v186(constB1)) | (~v187(constB1)))))) | (~v185(constB1)) | (~((~v186(constB1)) | (~v187(constB1))))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28214,plain,
% 8.06/6.19 (~v185(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28213, 28212, 28120])).
% 8.06/6.19 tff(28215,plain,
% 8.06/6.19 ((~(v181(constB1) | v185(constB1))) | v181(constB1) | v185(constB1)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28216,plain,
% 8.06/6.19 (~(v181(constB1) | v185(constB1))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28215, 28214, 28118])).
% 8.06/6.19 tff(28217,plain,
% 8.06/6.19 ((~(v178(constB1) <=> (v181(constB1) | v185(constB1)))) | (~v178(constB1)) | (v181(constB1) | v185(constB1))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28218,plain,
% 8.06/6.19 (~v178(constB1)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28217, 28216, 28103])).
% 8.06/6.19 tff(28219,plain,
% 8.06/6.19 ((~(v180(constB2) <=> v178(constB1))) | (~v180(constB2)) | v178(constB1)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28220,plain,
% 8.06/6.19 (~v180(constB2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28219, 28218, 28101])).
% 8.06/6.19 tff(28221,plain,
% 8.06/6.19 ((~(v157(constB2) <=> v180(constB2))) | (~v157(constB2)) | v180(constB2)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28222,plain,
% 8.06/6.19 (~v157(constB2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28221, 28220, 28097])).
% 8.06/6.19 tff(28223,plain,
% 8.06/6.19 (((~v157(constB2)) | (~v182(constB2))) | v157(constB2)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28224,plain,
% 8.06/6.19 ((~v157(constB2)) | (~v182(constB2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28223, 28222])).
% 8.06/6.19 tff(28225,plain,
% 8.06/6.19 ((~(v181(constB2) <=> (~((~v157(constB2)) | (~v182(constB2)))))) | (~v181(constB2)) | (~((~v157(constB2)) | (~v182(constB2))))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28226,plain,
% 8.06/6.19 (~v181(constB2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28225, 28224, 28095])).
% 8.06/6.19 tff(28227,plain,
% 8.06/6.19 ((~(v181(constB2) | v185(constB2))) | v181(constB2) | v185(constB2)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28228,plain,
% 8.06/6.19 (~(v181(constB2) | v185(constB2))),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28227, 28226, 28088])).
% 8.06/6.19 tff(28229,plain,
% 8.06/6.19 ((~(v178(constB2) <=> (v181(constB2) | v185(constB2)))) | (~v178(constB2)) | (v181(constB2) | v185(constB2))),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28230,plain,
% 8.06/6.19 (~v178(constB2)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28229, 28228, 28063])).
% 8.06/6.19 tff(28231,plain,
% 8.06/6.19 ((~(v180(constB3) <=> v178(constB2))) | (~v180(constB3)) | v178(constB2)),
% 8.06/6.19 inference(tautology,[status(thm)],[])).
% 8.06/6.19 tff(28232,plain,
% 8.06/6.19 (~v180(constB3)),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28231, 28230, 28061])).
% 8.06/6.19 tff(28233,plain,
% 8.06/6.19 ($false),
% 8.06/6.19 inference(unit_resolution,[status(thm)],[28232, 28057])).
% 8.06/6.19 tff(28234,plain,(~(constB3 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.06/6.19 tff(28235,assumption,(constB83 = VarCurr!0), introduced(assumption)).
% 8.06/6.19 tff(28236,plain,
% 8.06/6.19 (v180(constB83) <=> v180(VarCurr!0)),
% 8.06/6.19 inference(monotonicity,[status(thm)],[28235])).
% 8.06/6.19 tff(28237,plain,
% 8.06/6.19 (v180(VarCurr!0) <=> v180(constB83)),
% 8.06/6.19 inference(symmetry,[status(thm)],[28236])).
% 8.06/6.19 tff(28238,plain,
% 8.06/6.19 (v180(constB83)),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[59, 28237])).
% 8.06/6.19 tff(28239,plain,
% 8.06/6.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB82, constB83)) | (v180(constB83) <=> v178(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB82, constB83)) | (v180(constB83) <=> v178(constB82)))),
% 8.06/6.19 inference(rewrite,[status(thm)],[])).
% 8.06/6.19 tff(28240,plain,
% 8.06/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB82, constB83)) | (v180(constB83) <=> v178(constB82)))),
% 8.06/6.19 inference(quant_inst,[status(thm)],[])).
% 8.06/6.19 tff(28241,plain,
% 8.06/6.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB82, constB83)) | (v180(constB83) <=> v178(constB82))),
% 8.06/6.19 inference(modus_ponens,[status(thm)],[28240, 28239])).
% 8.06/6.20 tff(28242,plain,
% 8.06/6.20 (v180(constB83) <=> v178(constB82)),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28241, 1223, 70])).
% 8.06/6.20 tff(28243,plain,
% 8.06/6.20 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB82) <=> (v181(constB82) | v185(constB82)))),
% 8.06/6.20 inference(quant_inst,[status(thm)],[])).
% 8.06/6.20 tff(28244,plain,
% 8.06/6.20 (v178(constB82) <=> (v181(constB82) | v185(constB82))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28243, 84])).
% 8.06/6.20 tff(28245,plain,
% 8.06/6.20 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB82) <=> (~((~v186(constB82)) | (~v187(constB82)))))),
% 8.06/6.20 inference(quant_inst,[status(thm)],[])).
% 8.06/6.20 tff(28246,plain,
% 8.06/6.20 (v185(constB82) <=> (~((~v186(constB82)) | (~v187(constB82))))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28245, 96])).
% 8.06/6.20 tff(28247,plain,
% 8.06/6.20 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB82) <=> (~((~v184(constB82)) | (~v159(constB82)))))),
% 8.06/6.20 inference(quant_inst,[status(thm)],[])).
% 8.06/6.20 tff(28248,plain,
% 8.06/6.20 (v187(constB82) <=> (~((~v184(constB82)) | (~v159(constB82))))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28247, 108])).
% 8.06/6.20 tff(28249,plain,
% 8.06/6.20 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))),
% 8.06/6.20 inference(quant_inst,[status(thm)],[])).
% 8.06/6.20 tff(28250,plain,
% 8.06/6.20 (v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82))))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28249, 120])).
% 8.06/6.20 tff(28251,plain,
% 8.06/6.20 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB82)) <=> v1(constB82))),
% 8.06/6.20 inference(quant_inst,[status(thm)],[])).
% 8.06/6.20 tff(28252,plain,
% 8.06/6.20 ((~v39(constB82)) <=> v1(constB82)),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28251, 129])).
% 8.06/6.20 tff(28253,plain,
% 8.06/6.20 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82)) | (~v1(constB82))),
% 8.06/6.20 inference(tautology,[status(thm)],[])).
% 8.06/6.20 tff(28254,plain,
% 8.06/6.20 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28253, 10409])).
% 8.06/6.20 tff(28255,plain,
% 8.06/6.20 (~v39(constB82)),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28254, 28252])).
% 8.06/6.20 tff(28256,plain,
% 8.06/6.20 (((~v39(constB82)) | (~v9(constB82))) | v39(constB82)),
% 8.06/6.20 inference(tautology,[status(thm)],[])).
% 8.06/6.20 tff(28257,plain,
% 8.06/6.20 ((~v39(constB82)) | (~v9(constB82))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28256, 28255])).
% 8.06/6.20 tff(28258,plain,
% 8.06/6.20 ((~(v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v184(constB82)) | (~((~v39(constB82)) | (~v9(constB82))))),
% 8.06/6.20 inference(tautology,[status(thm)],[])).
% 8.06/6.20 tff(28259,plain,
% 8.06/6.20 ((~(v184(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v184(constB82))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28258, 28257])).
% 8.06/6.20 tff(28260,plain,
% 8.06/6.20 (~v184(constB82)),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28259, 28250])).
% 8.06/6.20 tff(28261,plain,
% 8.06/6.20 (((~v184(constB82)) | (~v159(constB82))) | v184(constB82)),
% 8.06/6.20 inference(tautology,[status(thm)],[])).
% 8.06/6.20 tff(28262,plain,
% 8.06/6.20 ((~v184(constB82)) | (~v159(constB82))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28261, 28260])).
% 8.06/6.20 tff(28263,plain,
% 8.06/6.20 ((~(v187(constB82) <=> (~((~v184(constB82)) | (~v159(constB82)))))) | (~v187(constB82)) | (~((~v184(constB82)) | (~v159(constB82))))),
% 8.06/6.20 inference(tautology,[status(thm)],[])).
% 8.06/6.20 tff(28264,plain,
% 8.06/6.20 ((~(v187(constB82) <=> (~((~v184(constB82)) | (~v159(constB82)))))) | (~v187(constB82))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28263, 28262])).
% 8.06/6.20 tff(28265,plain,
% 8.06/6.20 (~v187(constB82)),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28264, 28248])).
% 8.06/6.20 tff(28266,plain,
% 8.06/6.20 (((~v186(constB82)) | (~v187(constB82))) | v187(constB82)),
% 8.06/6.20 inference(tautology,[status(thm)],[])).
% 8.06/6.20 tff(28267,plain,
% 8.06/6.20 ((~v186(constB82)) | (~v187(constB82))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28266, 28265])).
% 8.06/6.20 tff(28268,plain,
% 8.06/6.20 ((~(v185(constB82) <=> (~((~v186(constB82)) | (~v187(constB82)))))) | (~v185(constB82)) | (~((~v186(constB82)) | (~v187(constB82))))),
% 8.06/6.20 inference(tautology,[status(thm)],[])).
% 8.06/6.20 tff(28269,plain,
% 8.06/6.20 (~v185(constB82)),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28268, 28267, 28246])).
% 8.06/6.20 tff(28270,plain,
% 8.06/6.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82))))))),
% 8.06/6.20 inference(rewrite,[status(thm)],[])).
% 8.06/6.20 tff(28271,plain,
% 8.06/6.20 ((v181(constB82) <=> (~((~v182(constB82)) | (~v157(constB82))))) <=> (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82)))))),
% 8.06/6.20 inference(rewrite,[status(thm)],[])).
% 8.06/6.20 tff(28272,plain,
% 8.06/6.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v182(constB82)) | (~v157(constB82)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82))))))),
% 8.06/6.20 inference(monotonicity,[status(thm)],[28271])).
% 8.06/6.20 tff(28273,plain,
% 8.06/6.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v182(constB82)) | (~v157(constB82)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82))))))),
% 8.06/6.20 inference(transitivity,[status(thm)],[28272, 28270])).
% 8.06/6.20 tff(28274,plain,
% 8.06/6.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v182(constB82)) | (~v157(constB82)))))),
% 8.06/6.20 inference(quant_inst,[status(thm)],[])).
% 8.06/6.20 tff(28275,plain,
% 8.06/6.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82)))))),
% 8.06/6.20 inference(modus_ponens,[status(thm)],[28274, 28273])).
% 8.06/6.20 tff(28276,plain,
% 8.06/6.20 (v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82))))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28275, 161])).
% 8.06/6.20 tff(28277,plain,
% 8.06/6.20 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB82) <=> v180(constB82))),
% 8.06/6.20 inference(quant_inst,[status(thm)],[])).
% 8.06/6.20 tff(28278,plain,
% 8.06/6.20 (v157(constB82) <=> v180(constB82)),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28277, 13])).
% 8.06/6.20 tff(28279,plain,
% 8.06/6.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB81, constB82)) | (v180(constB82) <=> v178(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB81, constB82)) | (v180(constB82) <=> v178(constB81)))),
% 8.06/6.20 inference(rewrite,[status(thm)],[])).
% 8.06/6.20 tff(28280,plain,
% 8.06/6.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB81, constB82)) | (v180(constB82) <=> v178(constB81)))),
% 8.06/6.20 inference(quant_inst,[status(thm)],[])).
% 8.06/6.20 tff(28281,plain,
% 8.06/6.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB81, constB82)) | (v180(constB82) <=> v178(constB81))),
% 8.06/6.20 inference(modus_ponens,[status(thm)],[28280, 28279])).
% 8.06/6.20 tff(28282,plain,
% 8.06/6.20 (v180(constB82) <=> v178(constB81)),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28281, 1259, 70])).
% 8.06/6.20 tff(28283,plain,
% 8.06/6.20 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB81) <=> (v181(constB81) | v185(constB81)))),
% 8.06/6.20 inference(quant_inst,[status(thm)],[])).
% 8.06/6.20 tff(28284,plain,
% 8.06/6.20 (v178(constB81) <=> (v181(constB81) | v185(constB81))),
% 8.06/6.20 inference(unit_resolution,[status(thm)],[28283, 84])).
% 8.06/6.20 tff(28285,plain,
% 8.06/6.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81))))))),
% 8.06/6.20 inference(rewrite,[status(thm)],[])).
% 8.06/6.20 tff(28286,plain,
% 8.09/6.20 ((v181(constB81) <=> (~((~v182(constB81)) | (~v157(constB81))))) <=> (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81)))))),
% 8.09/6.20 inference(rewrite,[status(thm)],[])).
% 8.09/6.20 tff(28287,plain,
% 8.09/6.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v182(constB81)) | (~v157(constB81)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81))))))),
% 8.09/6.20 inference(monotonicity,[status(thm)],[28286])).
% 8.09/6.20 tff(28288,plain,
% 8.09/6.20 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v182(constB81)) | (~v157(constB81)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81))))))),
% 8.09/6.20 inference(transitivity,[status(thm)],[28287, 28285])).
% 8.09/6.20 tff(28289,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v182(constB81)) | (~v157(constB81)))))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28290,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81)))))),
% 8.09/6.20 inference(modus_ponens,[status(thm)],[28289, 28288])).
% 8.09/6.20 tff(28291,plain,
% 8.09/6.20 (v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81))))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28290, 161])).
% 8.09/6.20 tff(28292,plain,
% 8.09/6.20 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB81)) <=> v183(constB81))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28293,plain,
% 8.09/6.20 ((~v182(constB81)) <=> v183(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28292, 193])).
% 8.09/6.20 tff(28294,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB81) <=> (v184(constB81) | v26(constB81)))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28295,plain,
% 8.09/6.20 (v183(constB81) <=> (v184(constB81) | v26(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28294, 202])).
% 8.09/6.20 tff(28296,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28297,plain,
% 8.09/6.20 (v184(constB81) <=> (~((~v39(constB81)) | (~v9(constB81))))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28296, 120])).
% 8.09/6.20 tff(28298,plain,
% 8.09/6.20 (((~![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)))),
% 8.09/6.20 inference(rewrite,[status(thm)],[])).
% 8.09/6.20 tff(28299,plain,
% 8.09/6.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28300,plain,
% 8.09/6.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81))),
% 8.09/6.20 inference(modus_ponens,[status(thm)],[28299, 28298])).
% 8.09/6.20 tff(28301,plain,
% 8.09/6.20 (v13(constB82) <=> v9(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28300, 1259, 216])).
% 8.09/6.20 tff(28302,plain,
% 8.09/6.20 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB82) <=> v13(constB82))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28303,plain,
% 8.09/6.20 (v6(constB82) <=> v13(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28302, 230])).
% 8.09/6.20 tff(28304,plain,
% 8.09/6.20 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB82)) <=> v6(constB82))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28305,plain,
% 8.09/6.20 ((~v21(constB82)) <=> v6(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28304, 239])).
% 8.09/6.20 tff(28306,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB82) <=> (v20(constB82) | v21(constB82)))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28307,plain,
% 8.09/6.20 (v19(constB82) <=> (v20(constB82) | v21(constB82))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28306, 248])).
% 8.09/6.20 tff(28308,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28309,plain,
% 8.09/6.20 (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82))))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28308, 260])).
% 8.09/6.20 tff(28310,plain,
% 8.09/6.20 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB82)) <=> v18(constB82))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28311,plain,
% 8.09/6.20 ((~v4(constB82)) <=> v18(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28310, 269])).
% 8.09/6.20 tff(28312,plain,
% 8.09/6.20 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB82)),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28313,plain,
% 8.09/6.20 (v4(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28312, 278])).
% 8.09/6.20 tff(28314,plain,
% 8.09/6.20 ((~((~v4(constB82)) <=> v18(constB82))) | (~v4(constB82)) | (~v18(constB82))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28315,plain,
% 8.09/6.20 (~v18(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28314, 28313, 28311])).
% 8.09/6.20 tff(28316,plain,
% 8.09/6.20 ((~(v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))) | v18(constB82) | ((~v19(constB82)) | (~v22(constB82)))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28317,plain,
% 8.09/6.20 ((~v19(constB82)) | (~v22(constB82))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28316, 28315, 28309])).
% 8.09/6.20 tff(28318,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB82) <=> (v1(constB82) | v6(constB82)))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28319,plain,
% 8.09/6.20 (v22(constB82) <=> (v1(constB82) | v6(constB82))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28318, 291])).
% 8.09/6.20 tff(28320,plain,
% 8.09/6.20 ((v1(constB82) | v6(constB82)) | (~v1(constB82))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28321,plain,
% 8.09/6.20 (v1(constB82) | v6(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28320, 10409])).
% 8.09/6.20 tff(28322,plain,
% 8.09/6.20 ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82) | (~(v1(constB82) | v6(constB82)))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28323,plain,
% 8.09/6.20 ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28322, 28321])).
% 8.09/6.20 tff(28324,plain,
% 8.09/6.20 (v22(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28323, 28319])).
% 8.09/6.20 tff(28325,plain,
% 8.09/6.20 ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82)) | (~v22(constB82))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28326,plain,
% 8.09/6.20 ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28325, 28324])).
% 8.09/6.20 tff(28327,plain,
% 8.09/6.20 (~v19(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28326, 28317])).
% 8.09/6.20 tff(28328,plain,
% 8.09/6.20 ((~(v19(constB82) <=> (v20(constB82) | v21(constB82)))) | v19(constB82) | (~(v20(constB82) | v21(constB82)))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28329,plain,
% 8.09/6.20 (~(v20(constB82) | v21(constB82))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28328, 28327, 28307])).
% 8.09/6.20 tff(28330,plain,
% 8.09/6.20 ((v20(constB82) | v21(constB82)) | (~v21(constB82))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28331,plain,
% 8.09/6.20 (~v21(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28330, 28329])).
% 8.09/6.20 tff(28332,plain,
% 8.09/6.20 ((~((~v21(constB82)) <=> v6(constB82))) | v21(constB82) | v6(constB82)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28333,plain,
% 8.09/6.20 (v6(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28332, 28331, 28305])).
% 8.09/6.20 tff(28334,plain,
% 8.09/6.20 ((~(v6(constB82) <=> v13(constB82))) | (~v6(constB82)) | v13(constB82)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28335,plain,
% 8.09/6.20 (v13(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28334, 28333, 28303])).
% 8.09/6.20 tff(28336,plain,
% 8.09/6.20 ((~(v13(constB82) <=> v9(constB81))) | (~v13(constB82)) | v9(constB81)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28337,plain,
% 8.09/6.20 (v9(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28336, 28335, 28301])).
% 8.09/6.20 tff(28338,plain,
% 8.09/6.20 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB81)) <=> v1(constB81))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28339,plain,
% 8.09/6.20 ((~v39(constB81)) <=> v1(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28338, 129])).
% 8.09/6.20 tff(28340,plain,
% 8.09/6.20 ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81) | v1(constB81)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28341,plain,
% 8.09/6.20 ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28340, 1303])).
% 8.09/6.20 tff(28342,plain,
% 8.09/6.20 (v39(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28341, 28339])).
% 8.09/6.20 tff(28343,plain,
% 8.09/6.20 ((~((~v39(constB81)) | (~v9(constB81)))) | (~v39(constB81)) | (~v9(constB81))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28344,plain,
% 8.09/6.20 ((~((~v39(constB81)) | (~v9(constB81)))) | (~v9(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28343, 28342])).
% 8.09/6.20 tff(28345,plain,
% 8.09/6.20 (~((~v39(constB81)) | (~v9(constB81)))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28344, 28337])).
% 8.09/6.20 tff(28346,plain,
% 8.09/6.20 ((~(v184(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))) | v184(constB81) | ((~v39(constB81)) | (~v9(constB81)))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28347,plain,
% 8.09/6.20 (v184(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28346, 28345, 28297])).
% 8.09/6.20 tff(28348,plain,
% 8.09/6.20 ((v184(constB81) | v26(constB81)) | (~v184(constB81))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28349,plain,
% 8.09/6.20 (v184(constB81) | v26(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28348, 28347])).
% 8.09/6.20 tff(28350,plain,
% 8.09/6.20 ((~(v183(constB81) <=> (v184(constB81) | v26(constB81)))) | v183(constB81) | (~(v184(constB81) | v26(constB81)))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28351,plain,
% 8.09/6.20 (v183(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28350, 28349, 28295])).
% 8.09/6.20 tff(28352,plain,
% 8.09/6.20 ((~((~v182(constB81)) <=> v183(constB81))) | (~v182(constB81)) | (~v183(constB81))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28353,plain,
% 8.09/6.20 (~v182(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28352, 28351, 28293])).
% 8.09/6.20 tff(28354,plain,
% 8.09/6.20 (((~v157(constB81)) | (~v182(constB81))) | v182(constB81)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28355,plain,
% 8.09/6.20 ((~v157(constB81)) | (~v182(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28354, 28353])).
% 8.09/6.20 tff(28356,plain,
% 8.09/6.20 ((~(v181(constB81) <=> (~((~v157(constB81)) | (~v182(constB81)))))) | (~v181(constB81)) | (~((~v157(constB81)) | (~v182(constB81))))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28357,plain,
% 8.09/6.20 (~v181(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28356, 28355, 28291])).
% 8.09/6.20 tff(28358,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB81) <=> (~((~v186(constB81)) | (~v187(constB81)))))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28359,plain,
% 8.09/6.20 (v185(constB81) <=> (~((~v186(constB81)) | (~v187(constB81))))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28358, 96])).
% 8.09/6.20 tff(28360,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB81) <=> (~((~v184(constB81)) | (~v159(constB81)))))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28361,plain,
% 8.09/6.20 (v187(constB81) <=> (~((~v184(constB81)) | (~v159(constB81))))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28360, 108])).
% 8.09/6.20 tff(28362,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB81) <=> v161(constB81))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28363,plain,
% 8.09/6.20 (v159(constB81) <=> v161(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28362, 345])).
% 8.09/6.20 tff(28364,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB81) <=> (v145(constB81) | v165(constB81)))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28365,plain,
% 8.09/6.20 (v164(constB81) <=> (v145(constB81) | v165(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28364, 357])).
% 8.09/6.20 tff(28366,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB81) <=> (v146(constB81) | v147(constB81)))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28367,plain,
% 8.09/6.20 (v145(constB81) <=> (v146(constB81) | v147(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28366, 24729])).
% 8.09/6.20 tff(28368,plain,
% 8.09/6.20 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0)))))),
% 8.09/6.20 inference(rewrite,[status(thm)],[])).
% 8.09/6.20 tff(28369,plain,
% 8.09/6.20 ((v146(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2))))) <=> (v146(constB81) <=> (~(v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0))))),
% 8.09/6.20 inference(rewrite,[status(thm)],[])).
% 8.09/6.20 tff(28370,plain,
% 8.09/6.20 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0)))))),
% 8.09/6.20 inference(monotonicity,[status(thm)],[28369])).
% 8.09/6.20 tff(28371,plain,
% 8.09/6.20 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0)))))),
% 8.09/6.20 inference(transitivity,[status(thm)],[28370, 28368])).
% 8.09/6.20 tff(28372,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)))))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28373,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB81) <=> (~(v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0))))),
% 8.09/6.20 inference(modus_ponens,[status(thm)],[28372, 28371])).
% 8.09/6.20 tff(28374,plain,
% 8.09/6.20 (v146(constB81) <=> (~(v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0)))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28373, 24744])).
% 8.09/6.20 tff(28375,plain,
% 8.09/6.20 ((~![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))))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28376,plain,
% 8.09/6.20 (~(((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)) | ((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)) | ((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0)))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28375, 416])).
% 8.09/6.20 tff(28377,plain,
% 8.09/6.20 ((((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)) | ((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)) | ((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0))) | (~((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28378,plain,
% 8.09/6.20 (~((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28377, 28376])).
% 8.09/6.20 tff(28379,plain,
% 8.09/6.20 (((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)) | v88(constB81, bitIndex2) | (~v90(constB81, bitIndex2))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28380,plain,
% 8.09/6.20 (v88(constB81, bitIndex2)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28379, 10331, 28378])).
% 8.09/6.20 tff(28381,plain,
% 8.09/6.20 ((((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)) | ((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)) | ((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0))) | (~((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0)))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28382,plain,
% 8.09/6.20 (~((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28381, 28376])).
% 8.09/6.20 tff(28383,plain,
% 8.09/6.20 (((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0)) | (~v88(constB81, bitIndex0)) | v90(constB81, bitIndex0)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28384,plain,
% 8.09/6.20 (~v88(constB81, bitIndex0)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28383, 10349, 28382])).
% 8.09/6.20 tff(28385,plain,
% 8.09/6.20 ((((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)) | ((~v88(constB81, bitIndex2)) <=> v90(constB81, bitIndex2)) | ((~v88(constB81, bitIndex0)) <=> v90(constB81, bitIndex0))) | (~((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28386,plain,
% 8.09/6.20 (~((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28385, 28376])).
% 8.09/6.20 tff(28387,plain,
% 8.09/6.20 (((~v88(constB81, bitIndex1)) <=> v90(constB81, bitIndex1)) | (~v88(constB81, bitIndex1)) | v90(constB81, bitIndex1)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28388,plain,
% 8.09/6.20 (~v88(constB81, bitIndex1)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28387, 10367, 28386])).
% 8.09/6.20 tff(28389,plain,
% 8.09/6.20 ((~(v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0))) | v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28390,plain,
% 8.09/6.20 (~(v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28389, 28388, 28384, 28380])).
% 8.09/6.20 tff(28391,plain,
% 8.09/6.20 ((~(v146(constB81) <=> (~(v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0))))) | v146(constB81) | (v88(constB81, bitIndex1) | (~v88(constB81, bitIndex2)) | v88(constB81, bitIndex0))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28392,plain,
% 8.09/6.20 (v146(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28391, 28390, 28374])).
% 8.09/6.20 tff(28393,plain,
% 8.09/6.20 ((v146(constB81) | v147(constB81)) | (~v146(constB81))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28394,plain,
% 8.09/6.20 (v146(constB81) | v147(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28393, 28392])).
% 8.09/6.20 tff(28395,plain,
% 8.09/6.20 ((~(v145(constB81) <=> (v146(constB81) | v147(constB81)))) | v145(constB81) | (~(v146(constB81) | v147(constB81)))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28396,plain,
% 8.09/6.20 (v145(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28395, 28394, 28367])).
% 8.09/6.20 tff(28397,plain,
% 8.09/6.20 ((v145(constB81) | v165(constB81)) | (~v145(constB81))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28398,plain,
% 8.09/6.20 (v145(constB81) | v165(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28397, 28396])).
% 8.09/6.20 tff(28399,plain,
% 8.09/6.20 ((~(v164(constB81) <=> (v145(constB81) | v165(constB81)))) | v164(constB81) | (~(v145(constB81) | v165(constB81)))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28400,plain,
% 8.09/6.20 ((~(v164(constB81) <=> (v145(constB81) | v165(constB81)))) | v164(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28399, 28398])).
% 8.09/6.20 tff(28401,plain,
% 8.09/6.20 (v164(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28400, 28365])).
% 8.09/6.20 tff(28402,plain,
% 8.09/6.20 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB81)) | (v161(constB81) <=> v168(constB81)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB81)) | (v161(constB81) <=> v168(constB81)))),
% 8.09/6.20 inference(rewrite,[status(thm)],[])).
% 8.09/6.20 tff(28403,plain,
% 8.09/6.20 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB81)) | (v161(constB81) <=> v168(constB81)))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28404,plain,
% 8.09/6.20 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB81)) | (v161(constB81) <=> v168(constB81))),
% 8.09/6.20 inference(modus_ponens,[status(thm)],[28403, 28402])).
% 8.09/6.20 tff(28405,plain,
% 8.09/6.20 ((~v164(constB81)) | (v161(constB81) <=> v168(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28404, 12128])).
% 8.09/6.20 tff(28406,plain,
% 8.09/6.20 (v161(constB81) <=> v168(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28405, 28401])).
% 8.09/6.20 tff(28407,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2))))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28408,plain,
% 8.09/6.20 (v139(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28407, 12146])).
% 8.09/6.20 tff(28409,plain,
% 8.09/6.20 ((v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)) | (~v88(constB81, bitIndex2))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28410,plain,
% 8.09/6.20 (v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28409, 28380])).
% 8.09/6.20 tff(28411,plain,
% 8.09/6.20 ((~(v139(constB81) <=> (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2))))) | (~v139(constB81)) | (~(v88(constB81, bitIndex0) | v88(constB81, bitIndex1) | v88(constB81, bitIndex2)))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28412,plain,
% 8.09/6.20 (~v139(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28411, 28410, 28408])).
% 8.09/6.20 tff(28413,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB81) <=> (~(v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28414,plain,
% 8.09/6.20 (v140(constB81) <=> (~(v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0))))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28413, 12165])).
% 8.09/6.20 tff(28415,plain,
% 8.09/6.20 ((v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0))) | (~v88(constB81, bitIndex2))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28416,plain,
% 8.09/6.20 (v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28415, 28380])).
% 8.09/6.20 tff(28417,plain,
% 8.09/6.20 ((~(v140(constB81) <=> (~(v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0)))))) | (~v140(constB81)) | (~(v88(constB81, bitIndex1) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex0))))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28418,plain,
% 8.09/6.20 (~v140(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28417, 28416, 28414])).
% 8.09/6.20 tff(28419,plain,
% 8.09/6.20 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v168(constB81)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB81) | v139(constB81) | (~v168(constB81)))),
% 8.09/6.20 inference(rewrite,[status(thm)],[])).
% 8.09/6.20 tff(28420,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v168(constB81)))),
% 8.09/6.20 inference(quant_inst,[status(thm)],[])).
% 8.09/6.20 tff(28421,plain,
% 8.09/6.20 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB81) | v139(constB81) | (~v168(constB81))),
% 8.09/6.20 inference(modus_ponens,[status(thm)],[28420, 28419])).
% 8.09/6.20 tff(28422,plain,
% 8.09/6.20 (v140(constB81) | v139(constB81) | (~v168(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28421, 12184])).
% 8.09/6.20 tff(28423,plain,
% 8.09/6.20 (~v168(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28422, 28418, 28412])).
% 8.09/6.20 tff(28424,plain,
% 8.09/6.20 ((~(v161(constB81) <=> v168(constB81))) | (~v161(constB81)) | v168(constB81)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28425,plain,
% 8.09/6.20 ((~(v161(constB81) <=> v168(constB81))) | (~v161(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28424, 28423])).
% 8.09/6.20 tff(28426,plain,
% 8.09/6.20 (~v161(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28425, 28406])).
% 8.09/6.20 tff(28427,plain,
% 8.09/6.20 ((~(v159(constB81) <=> v161(constB81))) | (~v159(constB81)) | v161(constB81)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28428,plain,
% 8.09/6.20 ((~(v159(constB81) <=> v161(constB81))) | (~v159(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28427, 28426])).
% 8.09/6.20 tff(28429,plain,
% 8.09/6.20 (~v159(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28428, 28363])).
% 8.09/6.20 tff(28430,plain,
% 8.09/6.20 (((~v184(constB81)) | (~v159(constB81))) | v159(constB81)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28431,plain,
% 8.09/6.20 ((~v184(constB81)) | (~v159(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28430, 28429])).
% 8.09/6.20 tff(28432,plain,
% 8.09/6.20 ((~(v187(constB81) <=> (~((~v184(constB81)) | (~v159(constB81)))))) | (~v187(constB81)) | (~((~v184(constB81)) | (~v159(constB81))))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28433,plain,
% 8.09/6.20 (~v187(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28432, 28431, 28361])).
% 8.09/6.20 tff(28434,plain,
% 8.09/6.20 (((~v186(constB81)) | (~v187(constB81))) | v187(constB81)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28435,plain,
% 8.09/6.20 ((~v186(constB81)) | (~v187(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28434, 28433])).
% 8.09/6.20 tff(28436,plain,
% 8.09/6.20 ((~(v185(constB81) <=> (~((~v186(constB81)) | (~v187(constB81)))))) | (~v185(constB81)) | (~((~v186(constB81)) | (~v187(constB81))))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28437,plain,
% 8.09/6.20 (~v185(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28436, 28435, 28359])).
% 8.09/6.20 tff(28438,plain,
% 8.09/6.20 ((~(v181(constB81) | v185(constB81))) | v181(constB81) | v185(constB81)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28439,plain,
% 8.09/6.20 (~(v181(constB81) | v185(constB81))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28438, 28437, 28357])).
% 8.09/6.20 tff(28440,plain,
% 8.09/6.20 ((~(v178(constB81) <=> (v181(constB81) | v185(constB81)))) | (~v178(constB81)) | (v181(constB81) | v185(constB81))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28441,plain,
% 8.09/6.20 (~v178(constB81)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28440, 28439, 28284])).
% 8.09/6.20 tff(28442,plain,
% 8.09/6.20 ((~(v180(constB82) <=> v178(constB81))) | (~v180(constB82)) | v178(constB81)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28443,plain,
% 8.09/6.20 (~v180(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28442, 28441, 28282])).
% 8.09/6.20 tff(28444,plain,
% 8.09/6.20 ((~(v157(constB82) <=> v180(constB82))) | (~v157(constB82)) | v180(constB82)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28445,plain,
% 8.09/6.20 (~v157(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28444, 28443, 28278])).
% 8.09/6.20 tff(28446,plain,
% 8.09/6.20 (((~v157(constB82)) | (~v182(constB82))) | v157(constB82)),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28447,plain,
% 8.09/6.20 ((~v157(constB82)) | (~v182(constB82))),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28446, 28445])).
% 8.09/6.20 tff(28448,plain,
% 8.09/6.20 ((~(v181(constB82) <=> (~((~v157(constB82)) | (~v182(constB82)))))) | (~v181(constB82)) | (~((~v157(constB82)) | (~v182(constB82))))),
% 8.09/6.20 inference(tautology,[status(thm)],[])).
% 8.09/6.20 tff(28449,plain,
% 8.09/6.20 (~v181(constB82)),
% 8.09/6.20 inference(unit_resolution,[status(thm)],[28448, 28447, 28276])).
% 8.09/6.20 tff(28450,plain,
% 8.09/6.20 ((~(v181(constB82) | v185(constB82))) | v181(constB82) | v185(constB82)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28451,plain,
% 8.09/6.21 (~(v181(constB82) | v185(constB82))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28450, 28449, 28269])).
% 8.09/6.21 tff(28452,plain,
% 8.09/6.21 ((~(v178(constB82) <=> (v181(constB82) | v185(constB82)))) | (~v178(constB82)) | (v181(constB82) | v185(constB82))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28453,plain,
% 8.09/6.21 (~v178(constB82)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28452, 28451, 28244])).
% 8.09/6.21 tff(28454,plain,
% 8.09/6.21 ((~(v180(constB83) <=> v178(constB82))) | (~v180(constB83)) | v178(constB82)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28455,plain,
% 8.09/6.21 (~v180(constB83)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28454, 28453, 28242])).
% 8.09/6.21 tff(28456,plain,
% 8.09/6.21 ($false),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28455, 28238])).
% 8.09/6.21 tff(28457,plain,(~(constB83 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.09/6.21 tff(28458,assumption,(constB55 = VarCurr!0), introduced(assumption)).
% 8.09/6.21 tff(28459,plain,
% 8.09/6.21 (v180(constB55) <=> v180(VarCurr!0)),
% 8.09/6.21 inference(monotonicity,[status(thm)],[28458])).
% 8.09/6.21 tff(28460,plain,
% 8.09/6.21 (v180(VarCurr!0) <=> v180(constB55)),
% 8.09/6.21 inference(symmetry,[status(thm)],[28459])).
% 8.09/6.21 tff(28461,plain,
% 8.09/6.21 (v180(constB55)),
% 8.09/6.21 inference(modus_ponens,[status(thm)],[59, 28460])).
% 8.09/6.21 tff(28462,plain,
% 8.09/6.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB54, constB55)) | (v180(constB55) <=> v178(constB54)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB54, constB55)) | (v180(constB55) <=> v178(constB54)))),
% 8.09/6.21 inference(rewrite,[status(thm)],[])).
% 8.09/6.21 tff(28463,plain,
% 8.09/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB54, constB55)) | (v180(constB55) <=> v178(constB54)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28464,plain,
% 8.09/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB54, constB55)) | (v180(constB55) <=> v178(constB54))),
% 8.09/6.21 inference(modus_ponens,[status(thm)],[28463, 28462])).
% 8.09/6.21 tff(28465,plain,
% 8.09/6.21 (v180(constB55) <=> v178(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28464, 2127, 70])).
% 8.09/6.21 tff(28466,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB54) <=> (v181(constB54) | v185(constB54)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28467,plain,
% 8.09/6.21 (v178(constB54) <=> (v181(constB54) | v185(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28466, 84])).
% 8.09/6.21 tff(28468,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB54) <=> (~((~v186(constB54)) | (~v187(constB54)))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28469,plain,
% 8.09/6.21 (v185(constB54) <=> (~((~v186(constB54)) | (~v187(constB54))))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28468, 96])).
% 8.09/6.21 tff(28470,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB54) <=> (~((~v184(constB54)) | (~v159(constB54)))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28471,plain,
% 8.09/6.21 (v187(constB54) <=> (~((~v184(constB54)) | (~v159(constB54))))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28470, 108])).
% 8.09/6.21 tff(28472,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28473,plain,
% 8.09/6.21 (v184(constB54) <=> (~((~v39(constB54)) | (~v9(constB54))))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28472, 120])).
% 8.09/6.21 tff(28474,plain,
% 8.09/6.21 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB54)) <=> v1(constB54))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28475,plain,
% 8.09/6.21 ((~v39(constB54)) <=> v1(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28474, 129])).
% 8.09/6.21 tff(28476,plain,
% 8.09/6.21 ((~((~v39(constB54)) <=> v1(constB54))) | (~v39(constB54)) | (~v1(constB54))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28477,plain,
% 8.09/6.21 ((~((~v39(constB54)) <=> v1(constB54))) | (~v39(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28476, 8238])).
% 8.09/6.21 tff(28478,plain,
% 8.09/6.21 (~v39(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28477, 28475])).
% 8.09/6.21 tff(28479,plain,
% 8.09/6.21 (((~v39(constB54)) | (~v9(constB54))) | v39(constB54)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28480,plain,
% 8.09/6.21 ((~v39(constB54)) | (~v9(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28479, 28478])).
% 8.09/6.21 tff(28481,plain,
% 8.09/6.21 ((~(v184(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))) | (~v184(constB54)) | (~((~v39(constB54)) | (~v9(constB54))))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28482,plain,
% 8.09/6.21 ((~(v184(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))) | (~v184(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28481, 28480])).
% 8.09/6.21 tff(28483,plain,
% 8.09/6.21 (~v184(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28482, 28473])).
% 8.09/6.21 tff(28484,plain,
% 8.09/6.21 (((~v184(constB54)) | (~v159(constB54))) | v184(constB54)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28485,plain,
% 8.09/6.21 ((~v184(constB54)) | (~v159(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28484, 28483])).
% 8.09/6.21 tff(28486,plain,
% 8.09/6.21 ((~(v187(constB54) <=> (~((~v184(constB54)) | (~v159(constB54)))))) | (~v187(constB54)) | (~((~v184(constB54)) | (~v159(constB54))))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28487,plain,
% 8.09/6.21 ((~(v187(constB54) <=> (~((~v184(constB54)) | (~v159(constB54)))))) | (~v187(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28486, 28485])).
% 8.09/6.21 tff(28488,plain,
% 8.09/6.21 (~v187(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28487, 28471])).
% 8.09/6.21 tff(28489,plain,
% 8.09/6.21 (((~v186(constB54)) | (~v187(constB54))) | v187(constB54)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28490,plain,
% 8.09/6.21 ((~v186(constB54)) | (~v187(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28489, 28488])).
% 8.09/6.21 tff(28491,plain,
% 8.09/6.21 ((~(v185(constB54) <=> (~((~v186(constB54)) | (~v187(constB54)))))) | (~v185(constB54)) | (~((~v186(constB54)) | (~v187(constB54))))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28492,plain,
% 8.09/6.21 (~v185(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28491, 28490, 28469])).
% 8.09/6.21 tff(28493,plain,
% 8.09/6.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54))))))),
% 8.09/6.21 inference(rewrite,[status(thm)],[])).
% 8.09/6.21 tff(28494,plain,
% 8.09/6.21 ((v181(constB54) <=> (~((~v182(constB54)) | (~v157(constB54))))) <=> (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54)))))),
% 8.09/6.21 inference(rewrite,[status(thm)],[])).
% 8.09/6.21 tff(28495,plain,
% 8.09/6.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v182(constB54)) | (~v157(constB54)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54))))))),
% 8.09/6.21 inference(monotonicity,[status(thm)],[28494])).
% 8.09/6.21 tff(28496,plain,
% 8.09/6.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v182(constB54)) | (~v157(constB54)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54))))))),
% 8.09/6.21 inference(transitivity,[status(thm)],[28495, 28493])).
% 8.09/6.21 tff(28497,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v182(constB54)) | (~v157(constB54)))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28498,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54)))))),
% 8.09/6.21 inference(modus_ponens,[status(thm)],[28497, 28496])).
% 8.09/6.21 tff(28499,plain,
% 8.09/6.21 (v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54))))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28498, 161])).
% 8.09/6.21 tff(28500,plain,
% 8.09/6.21 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB54) <=> v180(constB54))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28501,plain,
% 8.09/6.21 (v157(constB54) <=> v180(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28500, 13])).
% 8.09/6.21 tff(28502,plain,
% 8.09/6.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB53, constB54)) | (v180(constB54) <=> v178(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB53, constB54)) | (v180(constB54) <=> v178(constB53)))),
% 8.09/6.21 inference(rewrite,[status(thm)],[])).
% 8.09/6.21 tff(28503,plain,
% 8.09/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB53, constB54)) | (v180(constB54) <=> v178(constB53)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28504,plain,
% 8.09/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB53, constB54)) | (v180(constB54) <=> v178(constB53))),
% 8.09/6.21 inference(modus_ponens,[status(thm)],[28503, 28502])).
% 8.09/6.21 tff(28505,plain,
% 8.09/6.21 (v180(constB54) <=> v178(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28504, 2163, 70])).
% 8.09/6.21 tff(28506,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB53) <=> (v181(constB53) | v185(constB53)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28507,plain,
% 8.09/6.21 (v178(constB53) <=> (v181(constB53) | v185(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28506, 84])).
% 8.09/6.21 tff(28508,plain,
% 8.09/6.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53))))))),
% 8.09/6.21 inference(rewrite,[status(thm)],[])).
% 8.09/6.21 tff(28509,plain,
% 8.09/6.21 ((v181(constB53) <=> (~((~v182(constB53)) | (~v157(constB53))))) <=> (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53)))))),
% 8.09/6.21 inference(rewrite,[status(thm)],[])).
% 8.09/6.21 tff(28510,plain,
% 8.09/6.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v182(constB53)) | (~v157(constB53)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53))))))),
% 8.09/6.21 inference(monotonicity,[status(thm)],[28509])).
% 8.09/6.21 tff(28511,plain,
% 8.09/6.21 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v182(constB53)) | (~v157(constB53)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53))))))),
% 8.09/6.21 inference(transitivity,[status(thm)],[28510, 28508])).
% 8.09/6.21 tff(28512,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v182(constB53)) | (~v157(constB53)))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28513,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53)))))),
% 8.09/6.21 inference(modus_ponens,[status(thm)],[28512, 28511])).
% 8.09/6.21 tff(28514,plain,
% 8.09/6.21 (v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53))))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28513, 161])).
% 8.09/6.21 tff(28515,plain,
% 8.09/6.21 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB53)) <=> v183(constB53))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28516,plain,
% 8.09/6.21 ((~v182(constB53)) <=> v183(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28515, 193])).
% 8.09/6.21 tff(28517,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB53) <=> (v184(constB53) | v26(constB53)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28518,plain,
% 8.09/6.21 (v183(constB53) <=> (v184(constB53) | v26(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28517, 202])).
% 8.09/6.21 tff(28519,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB53) <=> (~((~v39(constB53)) | (~v9(constB53)))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28520,plain,
% 8.09/6.21 (v184(constB53) <=> (~((~v39(constB53)) | (~v9(constB53))))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28519, 120])).
% 8.09/6.21 tff(28521,plain,
% 8.09/6.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53)))),
% 8.09/6.21 inference(rewrite,[status(thm)],[])).
% 8.09/6.21 tff(28522,plain,
% 8.09/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28523,plain,
% 8.09/6.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53))),
% 8.09/6.21 inference(modus_ponens,[status(thm)],[28522, 28521])).
% 8.09/6.21 tff(28524,plain,
% 8.09/6.21 (v13(constB54) <=> v9(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28523, 2163, 216])).
% 8.09/6.21 tff(28525,plain,
% 8.09/6.21 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB54) <=> v13(constB54))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28526,plain,
% 8.09/6.21 (v6(constB54) <=> v13(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28525, 230])).
% 8.09/6.21 tff(28527,plain,
% 8.09/6.21 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB54)) <=> v6(constB54))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28528,plain,
% 8.09/6.21 ((~v21(constB54)) <=> v6(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28527, 239])).
% 8.09/6.21 tff(28529,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB54) <=> (v20(constB54) | v21(constB54)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28530,plain,
% 8.09/6.21 (v19(constB54) <=> (v20(constB54) | v21(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28529, 248])).
% 8.09/6.21 tff(28531,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54)))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28532,plain,
% 8.09/6.21 (v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54))))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28531, 260])).
% 8.09/6.21 tff(28533,plain,
% 8.09/6.21 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB54)) <=> v18(constB54))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28534,plain,
% 8.09/6.21 ((~v4(constB54)) <=> v18(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28533, 269])).
% 8.09/6.21 tff(28535,plain,
% 8.09/6.21 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB54)),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28536,plain,
% 8.09/6.21 (v4(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28535, 278])).
% 8.09/6.21 tff(28537,plain,
% 8.09/6.21 ((~((~v4(constB54)) <=> v18(constB54))) | (~v4(constB54)) | (~v18(constB54))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28538,plain,
% 8.09/6.21 (~v18(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28537, 28536, 28534])).
% 8.09/6.21 tff(28539,plain,
% 8.09/6.21 ((~(v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54)))))) | v18(constB54) | ((~v19(constB54)) | (~v22(constB54)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28540,plain,
% 8.09/6.21 ((~v19(constB54)) | (~v22(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28539, 28538, 28532])).
% 8.09/6.21 tff(28541,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB54) <=> (v1(constB54) | v6(constB54)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28542,plain,
% 8.09/6.21 (v22(constB54) <=> (v1(constB54) | v6(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28541, 291])).
% 8.09/6.21 tff(28543,plain,
% 8.09/6.21 ((v1(constB54) | v6(constB54)) | (~v1(constB54))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28544,plain,
% 8.09/6.21 (v1(constB54) | v6(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28543, 8238])).
% 8.09/6.21 tff(28545,plain,
% 8.09/6.21 ((~(v22(constB54) <=> (v1(constB54) | v6(constB54)))) | v22(constB54) | (~(v1(constB54) | v6(constB54)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28546,plain,
% 8.09/6.21 ((~(v22(constB54) <=> (v1(constB54) | v6(constB54)))) | v22(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28545, 28544])).
% 8.09/6.21 tff(28547,plain,
% 8.09/6.21 (v22(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28546, 28542])).
% 8.09/6.21 tff(28548,plain,
% 8.09/6.21 ((~((~v19(constB54)) | (~v22(constB54)))) | (~v19(constB54)) | (~v22(constB54))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28549,plain,
% 8.09/6.21 ((~((~v19(constB54)) | (~v22(constB54)))) | (~v19(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28548, 28547])).
% 8.09/6.21 tff(28550,plain,
% 8.09/6.21 (~v19(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28549, 28540])).
% 8.09/6.21 tff(28551,plain,
% 8.09/6.21 ((~(v19(constB54) <=> (v20(constB54) | v21(constB54)))) | v19(constB54) | (~(v20(constB54) | v21(constB54)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28552,plain,
% 8.09/6.21 (~(v20(constB54) | v21(constB54))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28551, 28550, 28530])).
% 8.09/6.21 tff(28553,plain,
% 8.09/6.21 ((v20(constB54) | v21(constB54)) | (~v21(constB54))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28554,plain,
% 8.09/6.21 (~v21(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28553, 28552])).
% 8.09/6.21 tff(28555,plain,
% 8.09/6.21 ((~((~v21(constB54)) <=> v6(constB54))) | v21(constB54) | v6(constB54)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28556,plain,
% 8.09/6.21 (v6(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28555, 28554, 28528])).
% 8.09/6.21 tff(28557,plain,
% 8.09/6.21 ((~(v6(constB54) <=> v13(constB54))) | (~v6(constB54)) | v13(constB54)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28558,plain,
% 8.09/6.21 (v13(constB54)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28557, 28556, 28526])).
% 8.09/6.21 tff(28559,plain,
% 8.09/6.21 ((~(v13(constB54) <=> v9(constB53))) | (~v13(constB54)) | v9(constB53)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28560,plain,
% 8.09/6.21 (v9(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28559, 28558, 28524])).
% 8.09/6.21 tff(28561,plain,
% 8.09/6.21 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB53)) <=> v1(constB53))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28562,plain,
% 8.09/6.21 ((~v39(constB53)) <=> v1(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28561, 129])).
% 8.09/6.21 tff(28563,plain,
% 8.09/6.21 ((~((~v39(constB53)) <=> v1(constB53))) | v39(constB53) | v1(constB53)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28564,plain,
% 8.09/6.21 ((~((~v39(constB53)) <=> v1(constB53))) | v39(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28563, 2207])).
% 8.09/6.21 tff(28565,plain,
% 8.09/6.21 (v39(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28564, 28562])).
% 8.09/6.21 tff(28566,plain,
% 8.09/6.21 ((~((~v39(constB53)) | (~v9(constB53)))) | (~v39(constB53)) | (~v9(constB53))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28567,plain,
% 8.09/6.21 ((~((~v39(constB53)) | (~v9(constB53)))) | (~v9(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28566, 28565])).
% 8.09/6.21 tff(28568,plain,
% 8.09/6.21 (~((~v39(constB53)) | (~v9(constB53)))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28567, 28560])).
% 8.09/6.21 tff(28569,plain,
% 8.09/6.21 ((~(v184(constB53) <=> (~((~v39(constB53)) | (~v9(constB53)))))) | v184(constB53) | ((~v39(constB53)) | (~v9(constB53)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28570,plain,
% 8.09/6.21 (v184(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28569, 28568, 28520])).
% 8.09/6.21 tff(28571,plain,
% 8.09/6.21 ((v184(constB53) | v26(constB53)) | (~v184(constB53))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28572,plain,
% 8.09/6.21 (v184(constB53) | v26(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28571, 28570])).
% 8.09/6.21 tff(28573,plain,
% 8.09/6.21 ((~(v183(constB53) <=> (v184(constB53) | v26(constB53)))) | v183(constB53) | (~(v184(constB53) | v26(constB53)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28574,plain,
% 8.09/6.21 (v183(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28573, 28572, 28518])).
% 8.09/6.21 tff(28575,plain,
% 8.09/6.21 ((~((~v182(constB53)) <=> v183(constB53))) | (~v182(constB53)) | (~v183(constB53))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28576,plain,
% 8.09/6.21 (~v182(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28575, 28574, 28516])).
% 8.09/6.21 tff(28577,plain,
% 8.09/6.21 (((~v157(constB53)) | (~v182(constB53))) | v182(constB53)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28578,plain,
% 8.09/6.21 ((~v157(constB53)) | (~v182(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28577, 28576])).
% 8.09/6.21 tff(28579,plain,
% 8.09/6.21 ((~(v181(constB53) <=> (~((~v157(constB53)) | (~v182(constB53)))))) | (~v181(constB53)) | (~((~v157(constB53)) | (~v182(constB53))))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28580,plain,
% 8.09/6.21 (~v181(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28579, 28578, 28514])).
% 8.09/6.21 tff(28581,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB53) <=> (~((~v186(constB53)) | (~v187(constB53)))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28582,plain,
% 8.09/6.21 (v185(constB53) <=> (~((~v186(constB53)) | (~v187(constB53))))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28581, 96])).
% 8.09/6.21 tff(28583,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB53) <=> (~((~v184(constB53)) | (~v159(constB53)))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28584,plain,
% 8.09/6.21 (v187(constB53) <=> (~((~v184(constB53)) | (~v159(constB53))))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28583, 108])).
% 8.09/6.21 tff(28585,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB53) <=> v161(constB53))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28586,plain,
% 8.09/6.21 (v159(constB53) <=> v161(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28585, 345])).
% 8.09/6.21 tff(28587,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB53) <=> (v145(constB53) | v165(constB53)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28588,plain,
% 8.09/6.21 (v164(constB53) <=> (v145(constB53) | v165(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28587, 357])).
% 8.09/6.21 tff(28589,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB53) <=> (v142(constB53) | v166(constB53)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28590,plain,
% 8.09/6.21 (v165(constB53) <=> (v142(constB53) | v166(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28589, 369])).
% 8.09/6.21 tff(28591,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB53) <=> (v143(constB53) | v144(constB53)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28592,plain,
% 8.09/6.21 (v142(constB53) <=> (v143(constB53) | v144(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28591, 21792])).
% 8.09/6.21 tff(28593,plain,
% 8.09/6.21 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~((~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~((~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0)))))),
% 8.09/6.21 inference(rewrite,[status(thm)],[])).
% 8.09/6.21 tff(28594,plain,
% 8.09/6.21 ((v143(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1))))) <=> (v143(constB53) <=> (~((~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0))))),
% 8.09/6.21 inference(rewrite,[status(thm)],[])).
% 8.09/6.21 tff(28595,plain,
% 8.09/6.21 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~((~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0)))))),
% 8.09/6.21 inference(monotonicity,[status(thm)],[28594])).
% 8.09/6.21 tff(28596,plain,
% 8.09/6.21 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~((~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0)))))),
% 8.09/6.21 inference(transitivity,[status(thm)],[28595, 28593])).
% 8.09/6.21 tff(28597,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex1)))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28598,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB53) <=> (~((~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0))))),
% 8.09/6.21 inference(modus_ponens,[status(thm)],[28597, 28596])).
% 8.09/6.21 tff(28599,plain,
% 8.09/6.21 (v143(constB53) <=> (~((~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0)))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28598, 23745])).
% 8.09/6.21 tff(28600,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB53, bitIndex1)) <=> v90(constB53, bitIndex1)) | ((~v88(constB53, bitIndex2)) <=> v90(constB53, bitIndex2)) | ((~v88(constB53, bitIndex0)) <=> v90(constB53, bitIndex0))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28601,plain,
% 8.09/6.21 (~(((~v88(constB53, bitIndex1)) <=> v90(constB53, bitIndex1)) | ((~v88(constB53, bitIndex2)) <=> v90(constB53, bitIndex2)) | ((~v88(constB53, bitIndex0)) <=> v90(constB53, bitIndex0)))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28600, 416])).
% 8.09/6.21 tff(28602,plain,
% 8.09/6.21 ((((~v88(constB53, bitIndex1)) <=> v90(constB53, bitIndex1)) | ((~v88(constB53, bitIndex2)) <=> v90(constB53, bitIndex2)) | ((~v88(constB53, bitIndex0)) <=> v90(constB53, bitIndex0))) | (~((~v88(constB53, bitIndex2)) <=> v90(constB53, bitIndex2)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28603,plain,
% 8.09/6.21 (~((~v88(constB53, bitIndex2)) <=> v90(constB53, bitIndex2))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28602, 28601])).
% 8.09/6.21 tff(28604,plain,
% 8.09/6.21 (((~v88(constB53, bitIndex2)) <=> v90(constB53, bitIndex2)) | (~v88(constB53, bitIndex2)) | v90(constB53, bitIndex2)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28605,plain,
% 8.09/6.21 (~v88(constB53, bitIndex2)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28604, 8157, 28603])).
% 8.09/6.21 tff(28606,plain,
% 8.09/6.21 ((((~v88(constB53, bitIndex1)) <=> v90(constB53, bitIndex1)) | ((~v88(constB53, bitIndex2)) <=> v90(constB53, bitIndex2)) | ((~v88(constB53, bitIndex0)) <=> v90(constB53, bitIndex0))) | (~((~v88(constB53, bitIndex0)) <=> v90(constB53, bitIndex0)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28607,plain,
% 8.09/6.21 (~((~v88(constB53, bitIndex0)) <=> v90(constB53, bitIndex0))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28606, 28601])).
% 8.09/6.21 tff(28608,plain,
% 8.09/6.21 (((~v88(constB53, bitIndex0)) <=> v90(constB53, bitIndex0)) | (~v88(constB53, bitIndex0)) | v90(constB53, bitIndex0)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28609,plain,
% 8.09/6.21 (~v88(constB53, bitIndex0)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28608, 8175, 28607])).
% 8.09/6.21 tff(28610,plain,
% 8.09/6.21 ((((~v88(constB53, bitIndex1)) <=> v90(constB53, bitIndex1)) | ((~v88(constB53, bitIndex2)) <=> v90(constB53, bitIndex2)) | ((~v88(constB53, bitIndex0)) <=> v90(constB53, bitIndex0))) | (~((~v88(constB53, bitIndex1)) <=> v90(constB53, bitIndex1)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28611,plain,
% 8.09/6.21 (~((~v88(constB53, bitIndex1)) <=> v90(constB53, bitIndex1))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28610, 28601])).
% 8.09/6.21 tff(28612,plain,
% 8.09/6.21 (((~v88(constB53, bitIndex1)) <=> v90(constB53, bitIndex1)) | v88(constB53, bitIndex1) | (~v90(constB53, bitIndex1))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28613,plain,
% 8.09/6.21 (v88(constB53, bitIndex1)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28612, 8193, 28611])).
% 8.09/6.21 tff(28614,plain,
% 8.09/6.21 ((~((~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0))) | (~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28615,plain,
% 8.09/6.21 (~((~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28614, 28613, 28609, 28605])).
% 8.09/6.21 tff(28616,plain,
% 8.09/6.21 ((~(v143(constB53) <=> (~((~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0))))) | v143(constB53) | ((~v88(constB53, bitIndex1)) | v88(constB53, bitIndex2) | v88(constB53, bitIndex0))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28617,plain,
% 8.09/6.21 (v143(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28616, 28615, 28599])).
% 8.09/6.21 tff(28618,plain,
% 8.09/6.21 ((v143(constB53) | v144(constB53)) | (~v143(constB53))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28619,plain,
% 8.09/6.21 (v143(constB53) | v144(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28618, 28617])).
% 8.09/6.21 tff(28620,plain,
% 8.09/6.21 ((~(v142(constB53) <=> (v143(constB53) | v144(constB53)))) | v142(constB53) | (~(v143(constB53) | v144(constB53)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28621,plain,
% 8.09/6.21 (v142(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28620, 28619, 28592])).
% 8.09/6.21 tff(28622,plain,
% 8.09/6.21 ((v142(constB53) | v166(constB53)) | (~v142(constB53))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28623,plain,
% 8.09/6.21 (v142(constB53) | v166(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28622, 28621])).
% 8.09/6.21 tff(28624,plain,
% 8.09/6.21 ((~(v165(constB53) <=> (v142(constB53) | v166(constB53)))) | v165(constB53) | (~(v142(constB53) | v166(constB53)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28625,plain,
% 8.09/6.21 ((~(v165(constB53) <=> (v142(constB53) | v166(constB53)))) | v165(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28624, 28623])).
% 8.09/6.21 tff(28626,plain,
% 8.09/6.21 (v165(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28625, 28590])).
% 8.09/6.21 tff(28627,plain,
% 8.09/6.21 ((v145(constB53) | v165(constB53)) | (~v165(constB53))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28628,plain,
% 8.09/6.21 (v145(constB53) | v165(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28627, 28626])).
% 8.09/6.21 tff(28629,plain,
% 8.09/6.21 ((~(v164(constB53) <=> (v145(constB53) | v165(constB53)))) | v164(constB53) | (~(v145(constB53) | v165(constB53)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28630,plain,
% 8.09/6.21 (v164(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28629, 28628, 28588])).
% 8.09/6.21 tff(28631,plain,
% 8.09/6.21 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB53)) | (v161(constB53) <=> v168(constB53)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB53)) | (v161(constB53) <=> v168(constB53)))),
% 8.09/6.21 inference(rewrite,[status(thm)],[])).
% 8.09/6.21 tff(28632,plain,
% 8.09/6.21 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB53)) | (v161(constB53) <=> v168(constB53)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28633,plain,
% 8.09/6.21 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB53)) | (v161(constB53) <=> v168(constB53))),
% 8.09/6.21 inference(modus_ponens,[status(thm)],[28632, 28631])).
% 8.09/6.21 tff(28634,plain,
% 8.09/6.21 ((~v164(constB53)) | (v161(constB53) <=> v168(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28633, 12128])).
% 8.09/6.21 tff(28635,plain,
% 8.09/6.21 (v161(constB53) <=> v168(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28634, 28630])).
% 8.09/6.21 tff(28636,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28637,plain,
% 8.09/6.21 (v139(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2)))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28636, 12146])).
% 8.09/6.21 tff(28638,plain,
% 8.09/6.21 ((v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2)) | (~v88(constB53, bitIndex1))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28639,plain,
% 8.09/6.21 (v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28638, 28613])).
% 8.09/6.21 tff(28640,plain,
% 8.09/6.21 ((~(v139(constB53) <=> (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2))))) | (~v139(constB53)) | (~(v88(constB53, bitIndex0) | v88(constB53, bitIndex1) | v88(constB53, bitIndex2)))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28641,plain,
% 8.09/6.21 (~v139(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28640, 28639, 28637])).
% 8.09/6.21 tff(28642,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB53) <=> (~(v88(constB53, bitIndex1) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex0)))))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28643,plain,
% 8.09/6.21 (v140(constB53) <=> (~(v88(constB53, bitIndex1) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex0))))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28642, 12165])).
% 8.09/6.21 tff(28644,plain,
% 8.09/6.21 ((v88(constB53, bitIndex1) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex0))) | (~v88(constB53, bitIndex1))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28645,plain,
% 8.09/6.21 (v88(constB53, bitIndex1) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex0))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28644, 28613])).
% 8.09/6.21 tff(28646,plain,
% 8.09/6.21 ((~(v140(constB53) <=> (~(v88(constB53, bitIndex1) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex0)))))) | (~v140(constB53)) | (~(v88(constB53, bitIndex1) | v88(constB53, bitIndex2) | (~v88(constB53, bitIndex0))))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28647,plain,
% 8.09/6.21 (~v140(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28646, 28645, 28643])).
% 8.09/6.21 tff(28648,plain,
% 8.09/6.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB53) | v139(constB53) | (~v168(constB53)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB53) | v139(constB53) | (~v168(constB53)))),
% 8.09/6.21 inference(rewrite,[status(thm)],[])).
% 8.09/6.21 tff(28649,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB53) | v139(constB53) | (~v168(constB53)))),
% 8.09/6.21 inference(quant_inst,[status(thm)],[])).
% 8.09/6.21 tff(28650,plain,
% 8.09/6.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB53) | v139(constB53) | (~v168(constB53))),
% 8.09/6.21 inference(modus_ponens,[status(thm)],[28649, 28648])).
% 8.09/6.21 tff(28651,plain,
% 8.09/6.21 (v140(constB53) | v139(constB53) | (~v168(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28650, 12184])).
% 8.09/6.21 tff(28652,plain,
% 8.09/6.21 (~v168(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28651, 28647, 28641])).
% 8.09/6.21 tff(28653,plain,
% 8.09/6.21 ((~(v161(constB53) <=> v168(constB53))) | (~v161(constB53)) | v168(constB53)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28654,plain,
% 8.09/6.21 ((~(v161(constB53) <=> v168(constB53))) | (~v161(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28653, 28652])).
% 8.09/6.21 tff(28655,plain,
% 8.09/6.21 (~v161(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28654, 28635])).
% 8.09/6.21 tff(28656,plain,
% 8.09/6.21 ((~(v159(constB53) <=> v161(constB53))) | (~v159(constB53)) | v161(constB53)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28657,plain,
% 8.09/6.21 ((~(v159(constB53) <=> v161(constB53))) | (~v159(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28656, 28655])).
% 8.09/6.21 tff(28658,plain,
% 8.09/6.21 (~v159(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28657, 28586])).
% 8.09/6.21 tff(28659,plain,
% 8.09/6.21 (((~v184(constB53)) | (~v159(constB53))) | v159(constB53)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28660,plain,
% 8.09/6.21 ((~v184(constB53)) | (~v159(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28659, 28658])).
% 8.09/6.21 tff(28661,plain,
% 8.09/6.21 ((~(v187(constB53) <=> (~((~v184(constB53)) | (~v159(constB53)))))) | (~v187(constB53)) | (~((~v184(constB53)) | (~v159(constB53))))),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28662,plain,
% 8.09/6.21 (~v187(constB53)),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28661, 28660, 28584])).
% 8.09/6.21 tff(28663,plain,
% 8.09/6.21 (((~v186(constB53)) | (~v187(constB53))) | v187(constB53)),
% 8.09/6.21 inference(tautology,[status(thm)],[])).
% 8.09/6.21 tff(28664,plain,
% 8.09/6.21 ((~v186(constB53)) | (~v187(constB53))),
% 8.09/6.21 inference(unit_resolution,[status(thm)],[28663, 28662])).
% 8.09/6.22 tff(28665,plain,
% 8.09/6.22 ((~(v185(constB53) <=> (~((~v186(constB53)) | (~v187(constB53)))))) | (~v185(constB53)) | (~((~v186(constB53)) | (~v187(constB53))))),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28666,plain,
% 8.09/6.22 (~v185(constB53)),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28665, 28664, 28582])).
% 8.09/6.22 tff(28667,plain,
% 8.09/6.22 ((~(v181(constB53) | v185(constB53))) | v181(constB53) | v185(constB53)),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28668,plain,
% 8.09/6.22 (~(v181(constB53) | v185(constB53))),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28667, 28666, 28580])).
% 8.09/6.22 tff(28669,plain,
% 8.09/6.22 ((~(v178(constB53) <=> (v181(constB53) | v185(constB53)))) | (~v178(constB53)) | (v181(constB53) | v185(constB53))),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28670,plain,
% 8.09/6.22 (~v178(constB53)),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28669, 28668, 28507])).
% 8.09/6.22 tff(28671,plain,
% 8.09/6.22 ((~(v180(constB54) <=> v178(constB53))) | (~v180(constB54)) | v178(constB53)),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28672,plain,
% 8.09/6.22 (~v180(constB54)),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28671, 28670, 28505])).
% 8.09/6.22 tff(28673,plain,
% 8.09/6.22 ((~(v157(constB54) <=> v180(constB54))) | (~v157(constB54)) | v180(constB54)),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28674,plain,
% 8.09/6.22 (~v157(constB54)),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28673, 28672, 28501])).
% 8.09/6.22 tff(28675,plain,
% 8.09/6.22 (((~v157(constB54)) | (~v182(constB54))) | v157(constB54)),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28676,plain,
% 8.09/6.22 ((~v157(constB54)) | (~v182(constB54))),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28675, 28674])).
% 8.09/6.22 tff(28677,plain,
% 8.09/6.22 ((~(v181(constB54) <=> (~((~v157(constB54)) | (~v182(constB54)))))) | (~v181(constB54)) | (~((~v157(constB54)) | (~v182(constB54))))),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28678,plain,
% 8.09/6.22 (~v181(constB54)),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28677, 28676, 28499])).
% 8.09/6.22 tff(28679,plain,
% 8.09/6.22 ((~(v181(constB54) | v185(constB54))) | v181(constB54) | v185(constB54)),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28680,plain,
% 8.09/6.22 (~(v181(constB54) | v185(constB54))),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28679, 28678, 28492])).
% 8.09/6.22 tff(28681,plain,
% 8.09/6.22 ((~(v178(constB54) <=> (v181(constB54) | v185(constB54)))) | (~v178(constB54)) | (v181(constB54) | v185(constB54))),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28682,plain,
% 8.09/6.22 (~v178(constB54)),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28681, 28680, 28467])).
% 8.09/6.22 tff(28683,plain,
% 8.09/6.22 ((~(v180(constB55) <=> v178(constB54))) | (~v180(constB55)) | v178(constB54)),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28684,plain,
% 8.09/6.22 (~v180(constB55)),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28683, 28682, 28465])).
% 8.09/6.22 tff(28685,plain,
% 8.09/6.22 ($false),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28684, 28461])).
% 8.09/6.22 tff(28686,plain,(~(constB55 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.09/6.22 tff(28687,assumption,(constB59 = VarCurr!0), introduced(assumption)).
% 8.09/6.22 tff(28688,plain,
% 8.09/6.22 (v180(constB59) <=> v180(VarCurr!0)),
% 8.09/6.22 inference(monotonicity,[status(thm)],[28687])).
% 8.09/6.22 tff(28689,plain,
% 8.09/6.22 (v180(VarCurr!0) <=> v180(constB59)),
% 8.09/6.22 inference(symmetry,[status(thm)],[28688])).
% 8.09/6.22 tff(28690,plain,
% 8.09/6.22 (v180(constB59)),
% 8.09/6.22 inference(modus_ponens,[status(thm)],[59, 28689])).
% 8.09/6.22 tff(28691,plain,
% 8.09/6.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB58, constB59)) | (v180(constB59) <=> v178(constB58)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB58, constB59)) | (v180(constB59) <=> v178(constB58)))),
% 8.09/6.22 inference(rewrite,[status(thm)],[])).
% 8.09/6.22 tff(28692,plain,
% 8.09/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB58, constB59)) | (v180(constB59) <=> v178(constB58)))),
% 8.09/6.22 inference(quant_inst,[status(thm)],[])).
% 8.09/6.22 tff(28693,plain,
% 8.09/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB58, constB59)) | (v180(constB59) <=> v178(constB58))),
% 8.09/6.22 inference(modus_ponens,[status(thm)],[28692, 28691])).
% 8.09/6.22 tff(28694,plain,
% 8.09/6.22 (v180(constB59) <=> v178(constB58)),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28693, 1995, 70])).
% 8.09/6.22 tff(28695,plain,
% 8.09/6.22 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB58) <=> (v181(constB58) | v185(constB58)))),
% 8.09/6.22 inference(quant_inst,[status(thm)],[])).
% 8.09/6.22 tff(28696,plain,
% 8.09/6.22 (v178(constB58) <=> (v181(constB58) | v185(constB58))),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28695, 84])).
% 8.09/6.22 tff(28697,plain,
% 8.09/6.22 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB58) <=> (~((~v186(constB58)) | (~v187(constB58)))))),
% 8.09/6.22 inference(quant_inst,[status(thm)],[])).
% 8.09/6.22 tff(28698,plain,
% 8.09/6.22 (v185(constB58) <=> (~((~v186(constB58)) | (~v187(constB58))))),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28697, 96])).
% 8.09/6.22 tff(28699,plain,
% 8.09/6.22 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB58) <=> (~((~v184(constB58)) | (~v159(constB58)))))),
% 8.09/6.22 inference(quant_inst,[status(thm)],[])).
% 8.09/6.22 tff(28700,plain,
% 8.09/6.22 (v187(constB58) <=> (~((~v184(constB58)) | (~v159(constB58))))),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28699, 108])).
% 8.09/6.22 tff(28701,plain,
% 8.09/6.22 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))),
% 8.09/6.22 inference(quant_inst,[status(thm)],[])).
% 8.09/6.22 tff(28702,plain,
% 8.09/6.22 (v184(constB58) <=> (~((~v39(constB58)) | (~v9(constB58))))),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28701, 120])).
% 8.09/6.22 tff(28703,plain,
% 8.09/6.22 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB58)) <=> v1(constB58))),
% 8.09/6.22 inference(quant_inst,[status(thm)],[])).
% 8.09/6.22 tff(28704,plain,
% 8.09/6.22 ((~v39(constB58)) <=> v1(constB58)),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28703, 129])).
% 8.09/6.22 tff(28705,plain,
% 8.09/6.22 ((~((~v39(constB58)) <=> v1(constB58))) | (~v39(constB58)) | (~v1(constB58))),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28706,plain,
% 8.09/6.22 ((~((~v39(constB58)) <=> v1(constB58))) | (~v39(constB58))),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28705, 8539])).
% 8.09/6.22 tff(28707,plain,
% 8.09/6.22 (~v39(constB58)),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28706, 28704])).
% 8.09/6.22 tff(28708,plain,
% 8.09/6.22 (((~v39(constB58)) | (~v9(constB58))) | v39(constB58)),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28709,plain,
% 8.09/6.22 ((~v39(constB58)) | (~v9(constB58))),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28708, 28707])).
% 8.09/6.22 tff(28710,plain,
% 8.09/6.22 ((~(v184(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))) | (~v184(constB58)) | (~((~v39(constB58)) | (~v9(constB58))))),
% 8.09/6.22 inference(tautology,[status(thm)],[])).
% 8.09/6.22 tff(28711,plain,
% 8.09/6.22 ((~(v184(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))) | (~v184(constB58))),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28710, 28709])).
% 8.09/6.22 tff(28712,plain,
% 8.09/6.22 (~v184(constB58)),
% 8.09/6.22 inference(unit_resolution,[status(thm)],[28711, 28702])).
% 8.10/6.22 tff(28713,plain,
% 8.10/6.22 (((~v184(constB58)) | (~v159(constB58))) | v184(constB58)),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28714,plain,
% 8.10/6.22 ((~v184(constB58)) | (~v159(constB58))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28713, 28712])).
% 8.10/6.22 tff(28715,plain,
% 8.10/6.22 ((~(v187(constB58) <=> (~((~v184(constB58)) | (~v159(constB58)))))) | (~v187(constB58)) | (~((~v184(constB58)) | (~v159(constB58))))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28716,plain,
% 8.10/6.22 ((~(v187(constB58) <=> (~((~v184(constB58)) | (~v159(constB58)))))) | (~v187(constB58))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28715, 28714])).
% 8.10/6.22 tff(28717,plain,
% 8.10/6.22 (~v187(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28716, 28700])).
% 8.10/6.22 tff(28718,plain,
% 8.10/6.22 (((~v186(constB58)) | (~v187(constB58))) | v187(constB58)),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28719,plain,
% 8.10/6.22 ((~v186(constB58)) | (~v187(constB58))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28718, 28717])).
% 8.10/6.22 tff(28720,plain,
% 8.10/6.22 ((~(v185(constB58) <=> (~((~v186(constB58)) | (~v187(constB58)))))) | (~v185(constB58)) | (~((~v186(constB58)) | (~v187(constB58))))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28721,plain,
% 8.10/6.22 (~v185(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28720, 28719, 28698])).
% 8.10/6.22 tff(28722,plain,
% 8.10/6.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58))))))),
% 8.10/6.22 inference(rewrite,[status(thm)],[])).
% 8.10/6.22 tff(28723,plain,
% 8.10/6.22 ((v181(constB58) <=> (~((~v182(constB58)) | (~v157(constB58))))) <=> (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58)))))),
% 8.10/6.22 inference(rewrite,[status(thm)],[])).
% 8.10/6.22 tff(28724,plain,
% 8.10/6.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v182(constB58)) | (~v157(constB58)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58))))))),
% 8.10/6.22 inference(monotonicity,[status(thm)],[28723])).
% 8.10/6.22 tff(28725,plain,
% 8.10/6.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v182(constB58)) | (~v157(constB58)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58))))))),
% 8.10/6.22 inference(transitivity,[status(thm)],[28724, 28722])).
% 8.10/6.22 tff(28726,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v182(constB58)) | (~v157(constB58)))))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28727,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58)))))),
% 8.10/6.22 inference(modus_ponens,[status(thm)],[28726, 28725])).
% 8.10/6.22 tff(28728,plain,
% 8.10/6.22 (v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58))))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28727, 161])).
% 8.10/6.22 tff(28729,plain,
% 8.10/6.22 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB58) <=> v180(constB58))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28730,plain,
% 8.10/6.22 (v157(constB58) <=> v180(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28729, 13])).
% 8.10/6.22 tff(28731,plain,
% 8.10/6.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB57, constB58)) | (v180(constB58) <=> v178(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB57, constB58)) | (v180(constB58) <=> v178(constB57)))),
% 8.10/6.22 inference(rewrite,[status(thm)],[])).
% 8.10/6.22 tff(28732,plain,
% 8.10/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB57, constB58)) | (v180(constB58) <=> v178(constB57)))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28733,plain,
% 8.10/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB57, constB58)) | (v180(constB58) <=> v178(constB57))),
% 8.10/6.22 inference(modus_ponens,[status(thm)],[28732, 28731])).
% 8.10/6.22 tff(28734,plain,
% 8.10/6.22 (v180(constB58) <=> v178(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28733, 2031, 70])).
% 8.10/6.22 tff(28735,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB57) <=> (v181(constB57) | v185(constB57)))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28736,plain,
% 8.10/6.22 (v178(constB57) <=> (v181(constB57) | v185(constB57))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28735, 84])).
% 8.10/6.22 tff(28737,plain,
% 8.10/6.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57))))))),
% 8.10/6.22 inference(rewrite,[status(thm)],[])).
% 8.10/6.22 tff(28738,plain,
% 8.10/6.22 ((v181(constB57) <=> (~((~v182(constB57)) | (~v157(constB57))))) <=> (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57)))))),
% 8.10/6.22 inference(rewrite,[status(thm)],[])).
% 8.10/6.22 tff(28739,plain,
% 8.10/6.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v182(constB57)) | (~v157(constB57)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57))))))),
% 8.10/6.22 inference(monotonicity,[status(thm)],[28738])).
% 8.10/6.22 tff(28740,plain,
% 8.10/6.22 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v182(constB57)) | (~v157(constB57)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57))))))),
% 8.10/6.22 inference(transitivity,[status(thm)],[28739, 28737])).
% 8.10/6.22 tff(28741,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v182(constB57)) | (~v157(constB57)))))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28742,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57)))))),
% 8.10/6.22 inference(modus_ponens,[status(thm)],[28741, 28740])).
% 8.10/6.22 tff(28743,plain,
% 8.10/6.22 (v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57))))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28742, 161])).
% 8.10/6.22 tff(28744,plain,
% 8.10/6.22 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB57)) <=> v183(constB57))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28745,plain,
% 8.10/6.22 ((~v182(constB57)) <=> v183(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28744, 193])).
% 8.10/6.22 tff(28746,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB57) <=> (v184(constB57) | v26(constB57)))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28747,plain,
% 8.10/6.22 (v183(constB57) <=> (v184(constB57) | v26(constB57))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28746, 202])).
% 8.10/6.22 tff(28748,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB57) <=> (~((~v39(constB57)) | (~v9(constB57)))))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28749,plain,
% 8.10/6.22 (v184(constB57) <=> (~((~v39(constB57)) | (~v9(constB57))))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28748, 120])).
% 8.10/6.22 tff(28750,plain,
% 8.10/6.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57)))),
% 8.10/6.22 inference(rewrite,[status(thm)],[])).
% 8.10/6.22 tff(28751,plain,
% 8.10/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57)))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28752,plain,
% 8.10/6.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57))),
% 8.10/6.22 inference(modus_ponens,[status(thm)],[28751, 28750])).
% 8.10/6.22 tff(28753,plain,
% 8.10/6.22 (v13(constB58) <=> v9(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28752, 2031, 216])).
% 8.10/6.22 tff(28754,plain,
% 8.10/6.22 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB58) <=> v13(constB58))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28755,plain,
% 8.10/6.22 (v6(constB58) <=> v13(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28754, 230])).
% 8.10/6.22 tff(28756,plain,
% 8.10/6.22 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB58)) <=> v6(constB58))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28757,plain,
% 8.10/6.22 ((~v21(constB58)) <=> v6(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28756, 239])).
% 8.10/6.22 tff(28758,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB58) <=> (v20(constB58) | v21(constB58)))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28759,plain,
% 8.10/6.22 (v19(constB58) <=> (v20(constB58) | v21(constB58))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28758, 248])).
% 8.10/6.22 tff(28760,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58)))))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28761,plain,
% 8.10/6.22 (v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58))))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28760, 260])).
% 8.10/6.22 tff(28762,plain,
% 8.10/6.22 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB58)) <=> v18(constB58))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28763,plain,
% 8.10/6.22 ((~v4(constB58)) <=> v18(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28762, 269])).
% 8.10/6.22 tff(28764,plain,
% 8.10/6.22 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB58)),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28765,plain,
% 8.10/6.22 (v4(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28764, 278])).
% 8.10/6.22 tff(28766,plain,
% 8.10/6.22 ((~((~v4(constB58)) <=> v18(constB58))) | (~v4(constB58)) | (~v18(constB58))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28767,plain,
% 8.10/6.22 (~v18(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28766, 28765, 28763])).
% 8.10/6.22 tff(28768,plain,
% 8.10/6.22 ((~(v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58)))))) | v18(constB58) | ((~v19(constB58)) | (~v22(constB58)))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28769,plain,
% 8.10/6.22 ((~v19(constB58)) | (~v22(constB58))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28768, 28767, 28761])).
% 8.10/6.22 tff(28770,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB58) <=> (v1(constB58) | v6(constB58)))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28771,plain,
% 8.10/6.22 (v22(constB58) <=> (v1(constB58) | v6(constB58))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28770, 291])).
% 8.10/6.22 tff(28772,plain,
% 8.10/6.22 ((v1(constB58) | v6(constB58)) | (~v1(constB58))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28773,plain,
% 8.10/6.22 (v1(constB58) | v6(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28772, 8539])).
% 8.10/6.22 tff(28774,plain,
% 8.10/6.22 ((~(v22(constB58) <=> (v1(constB58) | v6(constB58)))) | v22(constB58) | (~(v1(constB58) | v6(constB58)))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28775,plain,
% 8.10/6.22 ((~(v22(constB58) <=> (v1(constB58) | v6(constB58)))) | v22(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28774, 28773])).
% 8.10/6.22 tff(28776,plain,
% 8.10/6.22 (v22(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28775, 28771])).
% 8.10/6.22 tff(28777,plain,
% 8.10/6.22 ((~((~v19(constB58)) | (~v22(constB58)))) | (~v19(constB58)) | (~v22(constB58))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28778,plain,
% 8.10/6.22 ((~((~v19(constB58)) | (~v22(constB58)))) | (~v19(constB58))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28777, 28776])).
% 8.10/6.22 tff(28779,plain,
% 8.10/6.22 (~v19(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28778, 28769])).
% 8.10/6.22 tff(28780,plain,
% 8.10/6.22 ((~(v19(constB58) <=> (v20(constB58) | v21(constB58)))) | v19(constB58) | (~(v20(constB58) | v21(constB58)))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28781,plain,
% 8.10/6.22 (~(v20(constB58) | v21(constB58))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28780, 28779, 28759])).
% 8.10/6.22 tff(28782,plain,
% 8.10/6.22 ((v20(constB58) | v21(constB58)) | (~v21(constB58))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28783,plain,
% 8.10/6.22 (~v21(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28782, 28781])).
% 8.10/6.22 tff(28784,plain,
% 8.10/6.22 ((~((~v21(constB58)) <=> v6(constB58))) | v21(constB58) | v6(constB58)),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28785,plain,
% 8.10/6.22 (v6(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28784, 28783, 28757])).
% 8.10/6.22 tff(28786,plain,
% 8.10/6.22 ((~(v6(constB58) <=> v13(constB58))) | (~v6(constB58)) | v13(constB58)),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28787,plain,
% 8.10/6.22 (v13(constB58)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28786, 28785, 28755])).
% 8.10/6.22 tff(28788,plain,
% 8.10/6.22 ((~(v13(constB58) <=> v9(constB57))) | (~v13(constB58)) | v9(constB57)),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28789,plain,
% 8.10/6.22 (v9(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28788, 28787, 28753])).
% 8.10/6.22 tff(28790,plain,
% 8.10/6.22 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB57)) <=> v1(constB57))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28791,plain,
% 8.10/6.22 ((~v39(constB57)) <=> v1(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28790, 129])).
% 8.10/6.22 tff(28792,plain,
% 8.10/6.22 ((~((~v39(constB57)) <=> v1(constB57))) | v39(constB57) | v1(constB57)),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28793,plain,
% 8.10/6.22 ((~((~v39(constB57)) <=> v1(constB57))) | v39(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28792, 2075])).
% 8.10/6.22 tff(28794,plain,
% 8.10/6.22 (v39(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28793, 28791])).
% 8.10/6.22 tff(28795,plain,
% 8.10/6.22 ((~((~v39(constB57)) | (~v9(constB57)))) | (~v39(constB57)) | (~v9(constB57))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28796,plain,
% 8.10/6.22 ((~((~v39(constB57)) | (~v9(constB57)))) | (~v9(constB57))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28795, 28794])).
% 8.10/6.22 tff(28797,plain,
% 8.10/6.22 (~((~v39(constB57)) | (~v9(constB57)))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28796, 28789])).
% 8.10/6.22 tff(28798,plain,
% 8.10/6.22 ((~(v184(constB57) <=> (~((~v39(constB57)) | (~v9(constB57)))))) | v184(constB57) | ((~v39(constB57)) | (~v9(constB57)))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28799,plain,
% 8.10/6.22 (v184(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28798, 28797, 28749])).
% 8.10/6.22 tff(28800,plain,
% 8.10/6.22 ((v184(constB57) | v26(constB57)) | (~v184(constB57))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28801,plain,
% 8.10/6.22 (v184(constB57) | v26(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28800, 28799])).
% 8.10/6.22 tff(28802,plain,
% 8.10/6.22 ((~(v183(constB57) <=> (v184(constB57) | v26(constB57)))) | v183(constB57) | (~(v184(constB57) | v26(constB57)))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28803,plain,
% 8.10/6.22 (v183(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28802, 28801, 28747])).
% 8.10/6.22 tff(28804,plain,
% 8.10/6.22 ((~((~v182(constB57)) <=> v183(constB57))) | (~v182(constB57)) | (~v183(constB57))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28805,plain,
% 8.10/6.22 (~v182(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28804, 28803, 28745])).
% 8.10/6.22 tff(28806,plain,
% 8.10/6.22 (((~v157(constB57)) | (~v182(constB57))) | v182(constB57)),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28807,plain,
% 8.10/6.22 ((~v157(constB57)) | (~v182(constB57))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28806, 28805])).
% 8.10/6.22 tff(28808,plain,
% 8.10/6.22 ((~(v181(constB57) <=> (~((~v157(constB57)) | (~v182(constB57)))))) | (~v181(constB57)) | (~((~v157(constB57)) | (~v182(constB57))))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28809,plain,
% 8.10/6.22 (~v181(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28808, 28807, 28743])).
% 8.10/6.22 tff(28810,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB57) <=> (~((~v186(constB57)) | (~v187(constB57)))))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28811,plain,
% 8.10/6.22 (v185(constB57) <=> (~((~v186(constB57)) | (~v187(constB57))))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28810, 96])).
% 8.10/6.22 tff(28812,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB57) <=> (~((~v184(constB57)) | (~v159(constB57)))))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28813,plain,
% 8.10/6.22 (v187(constB57) <=> (~((~v184(constB57)) | (~v159(constB57))))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28812, 108])).
% 8.10/6.22 tff(28814,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB57) <=> v161(constB57))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28815,plain,
% 8.10/6.22 (v159(constB57) <=> v161(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28814, 345])).
% 8.10/6.22 tff(28816,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB57) <=> (v145(constB57) | v165(constB57)))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28817,plain,
% 8.10/6.22 (v164(constB57) <=> (v145(constB57) | v165(constB57))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28816, 357])).
% 8.10/6.22 tff(28818,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB57) <=> (v146(constB57) | v147(constB57)))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28819,plain,
% 8.10/6.22 (v145(constB57) <=> (v146(constB57) | v147(constB57))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28818, 24729])).
% 8.10/6.22 tff(28820,plain,
% 8.10/6.22 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~(v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~(v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0)))))),
% 8.10/6.22 inference(rewrite,[status(thm)],[])).
% 8.10/6.22 tff(28821,plain,
% 8.10/6.22 ((v146(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2))))) <=> (v146(constB57) <=> (~(v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0))))),
% 8.10/6.22 inference(rewrite,[status(thm)],[])).
% 8.10/6.22 tff(28822,plain,
% 8.10/6.22 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~(v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0)))))),
% 8.10/6.22 inference(monotonicity,[status(thm)],[28821])).
% 8.10/6.22 tff(28823,plain,
% 8.10/6.22 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~(v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0)))))),
% 8.10/6.22 inference(transitivity,[status(thm)],[28822, 28820])).
% 8.10/6.22 tff(28824,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)))))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28825,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB57) <=> (~(v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0))))),
% 8.10/6.22 inference(modus_ponens,[status(thm)],[28824, 28823])).
% 8.10/6.22 tff(28826,plain,
% 8.10/6.22 (v146(constB57) <=> (~(v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0)))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28825, 24744])).
% 8.10/6.22 tff(28827,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB57, bitIndex1)) <=> v90(constB57, bitIndex1)) | ((~v88(constB57, bitIndex2)) <=> v90(constB57, bitIndex2)) | ((~v88(constB57, bitIndex0)) <=> v90(constB57, bitIndex0))))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28828,plain,
% 8.10/6.22 (~(((~v88(constB57, bitIndex1)) <=> v90(constB57, bitIndex1)) | ((~v88(constB57, bitIndex2)) <=> v90(constB57, bitIndex2)) | ((~v88(constB57, bitIndex0)) <=> v90(constB57, bitIndex0)))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28827, 416])).
% 8.10/6.22 tff(28829,plain,
% 8.10/6.22 ((((~v88(constB57, bitIndex1)) <=> v90(constB57, bitIndex1)) | ((~v88(constB57, bitIndex2)) <=> v90(constB57, bitIndex2)) | ((~v88(constB57, bitIndex0)) <=> v90(constB57, bitIndex0))) | (~((~v88(constB57, bitIndex2)) <=> v90(constB57, bitIndex2)))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28830,plain,
% 8.10/6.22 (~((~v88(constB57, bitIndex2)) <=> v90(constB57, bitIndex2))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28829, 28828])).
% 8.10/6.22 tff(28831,plain,
% 8.10/6.22 (((~v88(constB57, bitIndex2)) <=> v90(constB57, bitIndex2)) | v88(constB57, bitIndex2) | (~v90(constB57, bitIndex2))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28832,plain,
% 8.10/6.22 (v88(constB57, bitIndex2)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28831, 8461, 28830])).
% 8.10/6.22 tff(28833,plain,
% 8.10/6.22 ((((~v88(constB57, bitIndex1)) <=> v90(constB57, bitIndex1)) | ((~v88(constB57, bitIndex2)) <=> v90(constB57, bitIndex2)) | ((~v88(constB57, bitIndex0)) <=> v90(constB57, bitIndex0))) | (~((~v88(constB57, bitIndex0)) <=> v90(constB57, bitIndex0)))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28834,plain,
% 8.10/6.22 (~((~v88(constB57, bitIndex0)) <=> v90(constB57, bitIndex0))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28833, 28828])).
% 8.10/6.22 tff(28835,plain,
% 8.10/6.22 (((~v88(constB57, bitIndex0)) <=> v90(constB57, bitIndex0)) | (~v88(constB57, bitIndex0)) | v90(constB57, bitIndex0)),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28836,plain,
% 8.10/6.22 (~v88(constB57, bitIndex0)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28835, 8479, 28834])).
% 8.10/6.22 tff(28837,plain,
% 8.10/6.22 ((((~v88(constB57, bitIndex1)) <=> v90(constB57, bitIndex1)) | ((~v88(constB57, bitIndex2)) <=> v90(constB57, bitIndex2)) | ((~v88(constB57, bitIndex0)) <=> v90(constB57, bitIndex0))) | (~((~v88(constB57, bitIndex1)) <=> v90(constB57, bitIndex1)))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28838,plain,
% 8.10/6.22 (~((~v88(constB57, bitIndex1)) <=> v90(constB57, bitIndex1))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28837, 28828])).
% 8.10/6.22 tff(28839,plain,
% 8.10/6.22 (((~v88(constB57, bitIndex1)) <=> v90(constB57, bitIndex1)) | (~v88(constB57, bitIndex1)) | v90(constB57, bitIndex1)),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28840,plain,
% 8.10/6.22 (~v88(constB57, bitIndex1)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28839, 8497, 28838])).
% 8.10/6.22 tff(28841,plain,
% 8.10/6.22 ((~(v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0))) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0)),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28842,plain,
% 8.10/6.22 (~(v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28841, 28840, 28836, 28832])).
% 8.10/6.22 tff(28843,plain,
% 8.10/6.22 ((~(v146(constB57) <=> (~(v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0))))) | v146(constB57) | (v88(constB57, bitIndex1) | (~v88(constB57, bitIndex2)) | v88(constB57, bitIndex0))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28844,plain,
% 8.10/6.22 (v146(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28843, 28842, 28826])).
% 8.10/6.22 tff(28845,plain,
% 8.10/6.22 ((v146(constB57) | v147(constB57)) | (~v146(constB57))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28846,plain,
% 8.10/6.22 (v146(constB57) | v147(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28845, 28844])).
% 8.10/6.22 tff(28847,plain,
% 8.10/6.22 ((~(v145(constB57) <=> (v146(constB57) | v147(constB57)))) | v145(constB57) | (~(v146(constB57) | v147(constB57)))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28848,plain,
% 8.10/6.22 (v145(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28847, 28846, 28819])).
% 8.10/6.22 tff(28849,plain,
% 8.10/6.22 ((v145(constB57) | v165(constB57)) | (~v145(constB57))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28850,plain,
% 8.10/6.22 (v145(constB57) | v165(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28849, 28848])).
% 8.10/6.22 tff(28851,plain,
% 8.10/6.22 ((~(v164(constB57) <=> (v145(constB57) | v165(constB57)))) | v164(constB57) | (~(v145(constB57) | v165(constB57)))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28852,plain,
% 8.10/6.22 ((~(v164(constB57) <=> (v145(constB57) | v165(constB57)))) | v164(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28851, 28850])).
% 8.10/6.22 tff(28853,plain,
% 8.10/6.22 (v164(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28852, 28817])).
% 8.10/6.22 tff(28854,plain,
% 8.10/6.22 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB57)) | (v161(constB57) <=> v168(constB57)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB57)) | (v161(constB57) <=> v168(constB57)))),
% 8.10/6.22 inference(rewrite,[status(thm)],[])).
% 8.10/6.22 tff(28855,plain,
% 8.10/6.22 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB57)) | (v161(constB57) <=> v168(constB57)))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28856,plain,
% 8.10/6.22 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB57)) | (v161(constB57) <=> v168(constB57))),
% 8.10/6.22 inference(modus_ponens,[status(thm)],[28855, 28854])).
% 8.10/6.22 tff(28857,plain,
% 8.10/6.22 ((~v164(constB57)) | (v161(constB57) <=> v168(constB57))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28856, 12128])).
% 8.10/6.22 tff(28858,plain,
% 8.10/6.22 (v161(constB57) <=> v168(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28857, 28853])).
% 8.10/6.22 tff(28859,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2))))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28860,plain,
% 8.10/6.22 (v139(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2)))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28859, 12146])).
% 8.10/6.22 tff(28861,plain,
% 8.10/6.22 ((v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2)) | (~v88(constB57, bitIndex2))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28862,plain,
% 8.10/6.22 (v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28861, 28832])).
% 8.10/6.22 tff(28863,plain,
% 8.10/6.22 ((~(v139(constB57) <=> (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2))))) | (~v139(constB57)) | (~(v88(constB57, bitIndex0) | v88(constB57, bitIndex1) | v88(constB57, bitIndex2)))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28864,plain,
% 8.10/6.22 (~v139(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28863, 28862, 28860])).
% 8.10/6.22 tff(28865,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB57) <=> (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0)))))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28866,plain,
% 8.10/6.22 (v140(constB57) <=> (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0))))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28865, 12165])).
% 8.10/6.22 tff(28867,plain,
% 8.10/6.22 ((v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0))) | (~v88(constB57, bitIndex2))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28868,plain,
% 8.10/6.22 (v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28867, 28832])).
% 8.10/6.22 tff(28869,plain,
% 8.10/6.22 ((~(v140(constB57) <=> (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0)))))) | (~v140(constB57)) | (~(v88(constB57, bitIndex1) | v88(constB57, bitIndex2) | (~v88(constB57, bitIndex0))))),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28870,plain,
% 8.10/6.22 (~v140(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28869, 28868, 28866])).
% 8.10/6.22 tff(28871,plain,
% 8.10/6.22 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB57) | v139(constB57) | (~v168(constB57)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB57) | v139(constB57) | (~v168(constB57)))),
% 8.10/6.22 inference(rewrite,[status(thm)],[])).
% 8.10/6.22 tff(28872,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB57) | v139(constB57) | (~v168(constB57)))),
% 8.10/6.22 inference(quant_inst,[status(thm)],[])).
% 8.10/6.22 tff(28873,plain,
% 8.10/6.22 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB57) | v139(constB57) | (~v168(constB57))),
% 8.10/6.22 inference(modus_ponens,[status(thm)],[28872, 28871])).
% 8.10/6.22 tff(28874,plain,
% 8.10/6.22 (v140(constB57) | v139(constB57) | (~v168(constB57))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28873, 12184])).
% 8.10/6.22 tff(28875,plain,
% 8.10/6.22 (~v168(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28874, 28870, 28864])).
% 8.10/6.22 tff(28876,plain,
% 8.10/6.22 ((~(v161(constB57) <=> v168(constB57))) | (~v161(constB57)) | v168(constB57)),
% 8.10/6.22 inference(tautology,[status(thm)],[])).
% 8.10/6.22 tff(28877,plain,
% 8.10/6.22 ((~(v161(constB57) <=> v168(constB57))) | (~v161(constB57))),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28876, 28875])).
% 8.10/6.22 tff(28878,plain,
% 8.10/6.22 (~v161(constB57)),
% 8.10/6.22 inference(unit_resolution,[status(thm)],[28877, 28858])).
% 8.10/6.23 tff(28879,plain,
% 8.10/6.23 ((~(v159(constB57) <=> v161(constB57))) | (~v159(constB57)) | v161(constB57)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28880,plain,
% 8.10/6.23 ((~(v159(constB57) <=> v161(constB57))) | (~v159(constB57))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28879, 28878])).
% 8.10/6.23 tff(28881,plain,
% 8.10/6.23 (~v159(constB57)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28880, 28815])).
% 8.10/6.23 tff(28882,plain,
% 8.10/6.23 (((~v184(constB57)) | (~v159(constB57))) | v159(constB57)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28883,plain,
% 8.10/6.23 ((~v184(constB57)) | (~v159(constB57))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28882, 28881])).
% 8.10/6.23 tff(28884,plain,
% 8.10/6.23 ((~(v187(constB57) <=> (~((~v184(constB57)) | (~v159(constB57)))))) | (~v187(constB57)) | (~((~v184(constB57)) | (~v159(constB57))))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28885,plain,
% 8.10/6.23 (~v187(constB57)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28884, 28883, 28813])).
% 8.10/6.23 tff(28886,plain,
% 8.10/6.23 (((~v186(constB57)) | (~v187(constB57))) | v187(constB57)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28887,plain,
% 8.10/6.23 ((~v186(constB57)) | (~v187(constB57))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28886, 28885])).
% 8.10/6.23 tff(28888,plain,
% 8.10/6.23 ((~(v185(constB57) <=> (~((~v186(constB57)) | (~v187(constB57)))))) | (~v185(constB57)) | (~((~v186(constB57)) | (~v187(constB57))))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28889,plain,
% 8.10/6.23 (~v185(constB57)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28888, 28887, 28811])).
% 8.10/6.23 tff(28890,plain,
% 8.10/6.23 ((~(v181(constB57) | v185(constB57))) | v181(constB57) | v185(constB57)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28891,plain,
% 8.10/6.23 (~(v181(constB57) | v185(constB57))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28890, 28889, 28809])).
% 8.10/6.23 tff(28892,plain,
% 8.10/6.23 ((~(v178(constB57) <=> (v181(constB57) | v185(constB57)))) | (~v178(constB57)) | (v181(constB57) | v185(constB57))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28893,plain,
% 8.10/6.23 (~v178(constB57)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28892, 28891, 28736])).
% 8.10/6.23 tff(28894,plain,
% 8.10/6.23 ((~(v180(constB58) <=> v178(constB57))) | (~v180(constB58)) | v178(constB57)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28895,plain,
% 8.10/6.23 (~v180(constB58)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28894, 28893, 28734])).
% 8.10/6.23 tff(28896,plain,
% 8.10/6.23 ((~(v157(constB58) <=> v180(constB58))) | (~v157(constB58)) | v180(constB58)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28897,plain,
% 8.10/6.23 (~v157(constB58)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28896, 28895, 28730])).
% 8.10/6.23 tff(28898,plain,
% 8.10/6.23 (((~v157(constB58)) | (~v182(constB58))) | v157(constB58)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28899,plain,
% 8.10/6.23 ((~v157(constB58)) | (~v182(constB58))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28898, 28897])).
% 8.10/6.23 tff(28900,plain,
% 8.10/6.23 ((~(v181(constB58) <=> (~((~v157(constB58)) | (~v182(constB58)))))) | (~v181(constB58)) | (~((~v157(constB58)) | (~v182(constB58))))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28901,plain,
% 8.10/6.23 (~v181(constB58)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28900, 28899, 28728])).
% 8.10/6.23 tff(28902,plain,
% 8.10/6.23 ((~(v181(constB58) | v185(constB58))) | v181(constB58) | v185(constB58)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28903,plain,
% 8.10/6.23 (~(v181(constB58) | v185(constB58))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28902, 28901, 28721])).
% 8.10/6.23 tff(28904,plain,
% 8.10/6.23 ((~(v178(constB58) <=> (v181(constB58) | v185(constB58)))) | (~v178(constB58)) | (v181(constB58) | v185(constB58))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28905,plain,
% 8.10/6.23 (~v178(constB58)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28904, 28903, 28696])).
% 8.10/6.23 tff(28906,plain,
% 8.10/6.23 ((~(v180(constB59) <=> v178(constB58))) | (~v180(constB59)) | v178(constB58)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28907,plain,
% 8.10/6.23 (~v180(constB59)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28906, 28905, 28694])).
% 8.10/6.23 tff(28908,plain,
% 8.10/6.23 ($false),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28907, 28690])).
% 8.10/6.23 tff(28909,plain,(~(constB59 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.23 tff(28910,assumption,(constB113 = VarCurr!0), introduced(assumption)).
% 8.10/6.23 tff(28911,plain,
% 8.10/6.23 (v86(constB113) <=> v86(VarCurr!0)),
% 8.10/6.23 inference(monotonicity,[status(thm)],[28910])).
% 8.10/6.23 tff(28912,plain,
% 8.10/6.23 (v86(VarCurr!0) <=> v86(constB113)),
% 8.10/6.23 inference(symmetry,[status(thm)],[28911])).
% 8.10/6.23 tff(28913,plain,
% 8.10/6.23 ((~v86(VarCurr!0)) <=> (~v86(constB113))),
% 8.10/6.23 inference(monotonicity,[status(thm)],[28912])).
% 8.10/6.23 tff(28914,plain,
% 8.10/6.23 (~v86(constB113)),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[21766, 28913])).
% 8.10/6.23 tff(28915,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB113) <=> (v136(constB113) | v145(constB113)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28916,plain,
% 8.10/6.23 (v135(constB113) <=> (v136(constB113) | v145(constB113))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28915, 21774])).
% 8.10/6.23 tff(28917,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB113) <=> (v137(constB113) | v142(constB113)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28918,plain,
% 8.10/6.23 (v136(constB113) <=> (v137(constB113) | v142(constB113))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28917, 21783])).
% 8.10/6.23 tff(28919,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB113) <=> (v143(constB113) | v144(constB113)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28920,plain,
% 8.10/6.23 (v142(constB113) <=> (v143(constB113) | v144(constB113))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28919, 21792])).
% 8.10/6.23 tff(28921,plain,
% 8.10/6.23 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~((~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~((~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0)))))),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(28922,plain,
% 8.10/6.23 ((v143(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1))))) <=> (v143(constB113) <=> (~((~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0))))),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(28923,plain,
% 8.10/6.23 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~((~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0)))))),
% 8.10/6.23 inference(monotonicity,[status(thm)],[28922])).
% 8.10/6.23 tff(28924,plain,
% 8.10/6.23 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~((~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0)))))),
% 8.10/6.23 inference(transitivity,[status(thm)],[28923, 28921])).
% 8.10/6.23 tff(28925,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex1)))))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28926,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB113) <=> (~((~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0))))),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[28925, 28924])).
% 8.10/6.23 tff(28927,plain,
% 8.10/6.23 (v143(constB113) <=> (~((~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0)))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28926, 23745])).
% 8.10/6.23 tff(28928,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB113, bitIndex1)) <=> v90(constB113, bitIndex1)) | ((~v88(constB113, bitIndex2)) <=> v90(constB113, bitIndex2)) | ((~v88(constB113, bitIndex0)) <=> v90(constB113, bitIndex0))))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28929,plain,
% 8.10/6.23 (~(((~v88(constB113, bitIndex1)) <=> v90(constB113, bitIndex1)) | ((~v88(constB113, bitIndex2)) <=> v90(constB113, bitIndex2)) | ((~v88(constB113, bitIndex0)) <=> v90(constB113, bitIndex0)))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28928, 416])).
% 8.10/6.23 tff(28930,plain,
% 8.10/6.23 ((((~v88(constB113, bitIndex1)) <=> v90(constB113, bitIndex1)) | ((~v88(constB113, bitIndex2)) <=> v90(constB113, bitIndex2)) | ((~v88(constB113, bitIndex0)) <=> v90(constB113, bitIndex0))) | (~((~v88(constB113, bitIndex2)) <=> v90(constB113, bitIndex2)))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28931,plain,
% 8.10/6.23 (~((~v88(constB113, bitIndex2)) <=> v90(constB113, bitIndex2))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28930, 28929])).
% 8.10/6.23 tff(28932,plain,
% 8.10/6.23 (((~v88(constB113, bitIndex2)) <=> v90(constB113, bitIndex2)) | (~v88(constB113, bitIndex2)) | v90(constB113, bitIndex2)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28933,plain,
% 8.10/6.23 (~v88(constB113, bitIndex2)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28932, 15812, 28931])).
% 8.10/6.23 tff(28934,plain,
% 8.10/6.23 ((((~v88(constB113, bitIndex1)) <=> v90(constB113, bitIndex1)) | ((~v88(constB113, bitIndex2)) <=> v90(constB113, bitIndex2)) | ((~v88(constB113, bitIndex0)) <=> v90(constB113, bitIndex0))) | (~((~v88(constB113, bitIndex0)) <=> v90(constB113, bitIndex0)))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28935,plain,
% 8.10/6.23 (~((~v88(constB113, bitIndex0)) <=> v90(constB113, bitIndex0))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28934, 28929])).
% 8.10/6.23 tff(28936,plain,
% 8.10/6.23 (((~v88(constB113, bitIndex0)) <=> v90(constB113, bitIndex0)) | (~v88(constB113, bitIndex0)) | v90(constB113, bitIndex0)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28937,plain,
% 8.10/6.23 (~v88(constB113, bitIndex0)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28936, 15830, 28935])).
% 8.10/6.23 tff(28938,plain,
% 8.10/6.23 ((((~v88(constB113, bitIndex1)) <=> v90(constB113, bitIndex1)) | ((~v88(constB113, bitIndex2)) <=> v90(constB113, bitIndex2)) | ((~v88(constB113, bitIndex0)) <=> v90(constB113, bitIndex0))) | (~((~v88(constB113, bitIndex1)) <=> v90(constB113, bitIndex1)))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28939,plain,
% 8.10/6.23 (~((~v88(constB113, bitIndex1)) <=> v90(constB113, bitIndex1))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28938, 28929])).
% 8.10/6.23 tff(28940,plain,
% 8.10/6.23 (((~v88(constB113, bitIndex1)) <=> v90(constB113, bitIndex1)) | v88(constB113, bitIndex1) | (~v90(constB113, bitIndex1))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28941,plain,
% 8.10/6.23 (v88(constB113, bitIndex1)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28940, 15848, 28939])).
% 8.10/6.23 tff(28942,plain,
% 8.10/6.23 ((~((~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0))) | (~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28943,plain,
% 8.10/6.23 (~((~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28942, 28941, 28937, 28933])).
% 8.10/6.23 tff(28944,plain,
% 8.10/6.23 ((~(v143(constB113) <=> (~((~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0))))) | v143(constB113) | ((~v88(constB113, bitIndex1)) | v88(constB113, bitIndex2) | v88(constB113, bitIndex0))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28945,plain,
% 8.10/6.23 (v143(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28944, 28943, 28927])).
% 8.10/6.23 tff(28946,plain,
% 8.10/6.23 ((v143(constB113) | v144(constB113)) | (~v143(constB113))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28947,plain,
% 8.10/6.23 (v143(constB113) | v144(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28946, 28945])).
% 8.10/6.23 tff(28948,plain,
% 8.10/6.23 ((~(v142(constB113) <=> (v143(constB113) | v144(constB113)))) | v142(constB113) | (~(v143(constB113) | v144(constB113)))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28949,plain,
% 8.10/6.23 (v142(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28948, 28947, 28920])).
% 8.10/6.23 tff(28950,plain,
% 8.10/6.23 ((v137(constB113) | v142(constB113)) | (~v142(constB113))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28951,plain,
% 8.10/6.23 (v137(constB113) | v142(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28950, 28949])).
% 8.10/6.23 tff(28952,plain,
% 8.10/6.23 ((~(v136(constB113) <=> (v137(constB113) | v142(constB113)))) | v136(constB113) | (~(v137(constB113) | v142(constB113)))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28953,plain,
% 8.10/6.23 ((~(v136(constB113) <=> (v137(constB113) | v142(constB113)))) | v136(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28952, 28951])).
% 8.10/6.23 tff(28954,plain,
% 8.10/6.23 (v136(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28953, 28918])).
% 8.10/6.23 tff(28955,plain,
% 8.10/6.23 ((v136(constB113) | v145(constB113)) | (~v136(constB113))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28956,plain,
% 8.10/6.23 (v136(constB113) | v145(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28955, 28954])).
% 8.10/6.23 tff(28957,plain,
% 8.10/6.23 ((~(v135(constB113) <=> (v136(constB113) | v145(constB113)))) | v135(constB113) | (~(v136(constB113) | v145(constB113)))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28958,plain,
% 8.10/6.23 (v135(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28957, 28956, 28916])).
% 8.10/6.23 tff(28959,plain,
% 8.10/6.23 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB113)) | (v86(constB113) <=> v148(constB113)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB113)) | (v86(constB113) <=> v148(constB113)))),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(28960,plain,
% 8.10/6.23 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB113)) | (v86(constB113) <=> v148(constB113)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28961,plain,
% 8.10/6.23 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB113)) | (v86(constB113) <=> v148(constB113))),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[28960, 28959])).
% 8.10/6.23 tff(28962,plain,
% 8.10/6.23 (v86(constB113) <=> v148(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28961, 21855, 28958])).
% 8.10/6.23 tff(28963,plain,
% 8.10/6.23 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB113) | (~v142(constB113)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB113) | (~v142(constB113)))),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(28964,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB113) | (~v142(constB113)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28965,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB113) | (~v142(constB113))),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[28964, 28963])).
% 8.10/6.23 tff(28966,plain,
% 8.10/6.23 (v148(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28965, 21869, 28949])).
% 8.10/6.23 tff(28967,plain,
% 8.10/6.23 ((~(v86(constB113) <=> v148(constB113))) | v86(constB113) | (~v148(constB113))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28968,plain,
% 8.10/6.23 ((~(v86(constB113) <=> v148(constB113))) | v86(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28967, 28966])).
% 8.10/6.23 tff(28969,plain,
% 8.10/6.23 (v86(constB113)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28968, 28962])).
% 8.10/6.23 tff(28970,plain,
% 8.10/6.23 ($false),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28969, 28914])).
% 8.10/6.23 tff(28971,plain,(~(constB113 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.23 tff(28972,assumption,(constB195 = VarCurr!0), introduced(assumption)).
% 8.10/6.23 tff(28973,plain,
% 8.10/6.23 (v180(constB195) <=> v180(VarCurr!0)),
% 8.10/6.23 inference(monotonicity,[status(thm)],[28972])).
% 8.10/6.23 tff(28974,plain,
% 8.10/6.23 (v180(VarCurr!0) <=> v180(constB195)),
% 8.10/6.23 inference(symmetry,[status(thm)],[28973])).
% 8.10/6.23 tff(28975,plain,
% 8.10/6.23 (v180(constB195)),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[59, 28974])).
% 8.10/6.23 tff(28976,plain,
% 8.10/6.23 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(28977,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_194')).
% 8.10/6.23 tff(28978,plain,
% 8.10/6.23 (nextState(constB194, constB195)),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[28977, 28976])).
% 8.10/6.23 tff(28979,plain,
% 8.10/6.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB194, constB195)) | (v180(constB195) <=> v178(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB194, constB195)) | (v180(constB195) <=> v178(constB194)))),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(28980,plain,
% 8.10/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB194, constB195)) | (v180(constB195) <=> v178(constB194)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28981,plain,
% 8.10/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB194, constB195)) | (v180(constB195) <=> v178(constB194))),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[28980, 28979])).
% 8.10/6.23 tff(28982,plain,
% 8.10/6.23 (v180(constB195) <=> v178(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28981, 28978, 70])).
% 8.10/6.23 tff(28983,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB194) <=> (v181(constB194) | v185(constB194)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28984,plain,
% 8.10/6.23 (v178(constB194) <=> (v181(constB194) | v185(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28983, 84])).
% 8.10/6.23 tff(28985,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB194) <=> (~((~v186(constB194)) | (~v187(constB194)))))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28986,plain,
% 8.10/6.23 (v185(constB194) <=> (~((~v186(constB194)) | (~v187(constB194))))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28985, 96])).
% 8.10/6.23 tff(28987,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB194) <=> (~((~v184(constB194)) | (~v159(constB194)))))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28988,plain,
% 8.10/6.23 (v187(constB194) <=> (~((~v184(constB194)) | (~v159(constB194))))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28987, 108])).
% 8.10/6.23 tff(28989,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28990,plain,
% 8.10/6.23 (v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194))))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28989, 120])).
% 8.10/6.23 tff(28991,plain,
% 8.10/6.23 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB194)) <=> v1(constB194))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(28992,plain,
% 8.10/6.23 ((~v39(constB194)) <=> v1(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28991, 129])).
% 8.10/6.23 tff(28993,plain,
% 8.10/6.23 (v1(constB194) <=> v1(constB194)),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(28994,axiom,(v1(constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_194')).
% 8.10/6.23 tff(28995,plain,
% 8.10/6.23 (v1(constB194)),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[28994, 28993])).
% 8.10/6.23 tff(28996,plain,
% 8.10/6.23 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194)) | (~v1(constB194))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(28997,plain,
% 8.10/6.23 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28996, 28995])).
% 8.10/6.23 tff(28998,plain,
% 8.10/6.23 (~v39(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28997, 28992])).
% 8.10/6.23 tff(28999,plain,
% 8.10/6.23 (((~v39(constB194)) | (~v9(constB194))) | v39(constB194)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29000,plain,
% 8.10/6.23 ((~v39(constB194)) | (~v9(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[28999, 28998])).
% 8.10/6.23 tff(29001,plain,
% 8.10/6.23 ((~(v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v184(constB194)) | (~((~v39(constB194)) | (~v9(constB194))))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29002,plain,
% 8.10/6.23 ((~(v184(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v184(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29001, 29000])).
% 8.10/6.23 tff(29003,plain,
% 8.10/6.23 (~v184(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29002, 28990])).
% 8.10/6.23 tff(29004,plain,
% 8.10/6.23 (((~v184(constB194)) | (~v159(constB194))) | v184(constB194)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29005,plain,
% 8.10/6.23 ((~v184(constB194)) | (~v159(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29004, 29003])).
% 8.10/6.23 tff(29006,plain,
% 8.10/6.23 ((~(v187(constB194) <=> (~((~v184(constB194)) | (~v159(constB194)))))) | (~v187(constB194)) | (~((~v184(constB194)) | (~v159(constB194))))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29007,plain,
% 8.10/6.23 ((~(v187(constB194) <=> (~((~v184(constB194)) | (~v159(constB194)))))) | (~v187(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29006, 29005])).
% 8.10/6.23 tff(29008,plain,
% 8.10/6.23 (~v187(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29007, 28988])).
% 8.10/6.23 tff(29009,plain,
% 8.10/6.23 (((~v186(constB194)) | (~v187(constB194))) | v187(constB194)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29010,plain,
% 8.10/6.23 ((~v186(constB194)) | (~v187(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29009, 29008])).
% 8.10/6.23 tff(29011,plain,
% 8.10/6.23 ((~(v185(constB194) <=> (~((~v186(constB194)) | (~v187(constB194)))))) | (~v185(constB194)) | (~((~v186(constB194)) | (~v187(constB194))))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29012,plain,
% 8.10/6.23 (~v185(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29011, 29010, 28986])).
% 8.10/6.23 tff(29013,plain,
% 8.10/6.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194))))))),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(29014,plain,
% 8.10/6.23 ((v181(constB194) <=> (~((~v182(constB194)) | (~v157(constB194))))) <=> (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194)))))),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(29015,plain,
% 8.10/6.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v182(constB194)) | (~v157(constB194)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194))))))),
% 8.10/6.23 inference(monotonicity,[status(thm)],[29014])).
% 8.10/6.23 tff(29016,plain,
% 8.10/6.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v182(constB194)) | (~v157(constB194)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194))))))),
% 8.10/6.23 inference(transitivity,[status(thm)],[29015, 29013])).
% 8.10/6.23 tff(29017,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v182(constB194)) | (~v157(constB194)))))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29018,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194)))))),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[29017, 29016])).
% 8.10/6.23 tff(29019,plain,
% 8.10/6.23 (v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194))))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29018, 161])).
% 8.10/6.23 tff(29020,plain,
% 8.10/6.23 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB194) <=> v180(constB194))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29021,plain,
% 8.10/6.23 (v157(constB194) <=> v180(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29020, 13])).
% 8.10/6.23 tff(29022,plain,
% 8.10/6.23 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(29023,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_193')).
% 8.10/6.23 tff(29024,plain,
% 8.10/6.23 (nextState(constB193, constB194)),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[29023, 29022])).
% 8.10/6.23 tff(29025,plain,
% 8.10/6.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB193, constB194)) | (v180(constB194) <=> v178(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB193, constB194)) | (v180(constB194) <=> v178(constB193)))),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(29026,plain,
% 8.10/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB193, constB194)) | (v180(constB194) <=> v178(constB193)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29027,plain,
% 8.10/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB193, constB194)) | (v180(constB194) <=> v178(constB193))),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[29026, 29025])).
% 8.10/6.23 tff(29028,plain,
% 8.10/6.23 (v180(constB194) <=> v178(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29027, 29024, 70])).
% 8.10/6.23 tff(29029,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB193) <=> (v181(constB193) | v185(constB193)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29030,plain,
% 8.10/6.23 (v178(constB193) <=> (v181(constB193) | v185(constB193))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29029, 84])).
% 8.10/6.23 tff(29031,plain,
% 8.10/6.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193))))))),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(29032,plain,
% 8.10/6.23 ((v181(constB193) <=> (~((~v182(constB193)) | (~v157(constB193))))) <=> (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193)))))),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(29033,plain,
% 8.10/6.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v182(constB193)) | (~v157(constB193)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193))))))),
% 8.10/6.23 inference(monotonicity,[status(thm)],[29032])).
% 8.10/6.23 tff(29034,plain,
% 8.10/6.23 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v182(constB193)) | (~v157(constB193)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193))))))),
% 8.10/6.23 inference(transitivity,[status(thm)],[29033, 29031])).
% 8.10/6.23 tff(29035,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v182(constB193)) | (~v157(constB193)))))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29036,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193)))))),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[29035, 29034])).
% 8.10/6.23 tff(29037,plain,
% 8.10/6.23 (v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193))))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29036, 161])).
% 8.10/6.23 tff(29038,plain,
% 8.10/6.23 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB193)) <=> v183(constB193))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29039,plain,
% 8.10/6.23 ((~v182(constB193)) <=> v183(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29038, 193])).
% 8.10/6.23 tff(29040,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB193) <=> (v184(constB193) | v26(constB193)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29041,plain,
% 8.10/6.23 (v183(constB193) <=> (v184(constB193) | v26(constB193))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29040, 202])).
% 8.10/6.23 tff(29042,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29043,plain,
% 8.10/6.23 (v184(constB193) <=> (~((~v39(constB193)) | (~v9(constB193))))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29042, 120])).
% 8.10/6.23 tff(29044,plain,
% 8.10/6.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))),
% 8.10/6.23 inference(rewrite,[status(thm)],[])).
% 8.10/6.23 tff(29045,plain,
% 8.10/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29046,plain,
% 8.10/6.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193))),
% 8.10/6.23 inference(modus_ponens,[status(thm)],[29045, 29044])).
% 8.10/6.23 tff(29047,plain,
% 8.10/6.23 (v13(constB194) <=> v9(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29046, 29024, 216])).
% 8.10/6.23 tff(29048,plain,
% 8.10/6.23 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB194) <=> v13(constB194))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29049,plain,
% 8.10/6.23 (v6(constB194) <=> v13(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29048, 230])).
% 8.10/6.23 tff(29050,plain,
% 8.10/6.23 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB194)) <=> v6(constB194))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29051,plain,
% 8.10/6.23 ((~v21(constB194)) <=> v6(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29050, 239])).
% 8.10/6.23 tff(29052,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB194) <=> (v20(constB194) | v21(constB194)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29053,plain,
% 8.10/6.23 (v19(constB194) <=> (v20(constB194) | v21(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29052, 248])).
% 8.10/6.23 tff(29054,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29055,plain,
% 8.10/6.23 (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194))))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29054, 260])).
% 8.10/6.23 tff(29056,plain,
% 8.10/6.23 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB194)) <=> v18(constB194))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29057,plain,
% 8.10/6.23 ((~v4(constB194)) <=> v18(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29056, 269])).
% 8.10/6.23 tff(29058,plain,
% 8.10/6.23 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB194)),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29059,plain,
% 8.10/6.23 (v4(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29058, 278])).
% 8.10/6.23 tff(29060,plain,
% 8.10/6.23 ((~((~v4(constB194)) <=> v18(constB194))) | (~v4(constB194)) | (~v18(constB194))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29061,plain,
% 8.10/6.23 (~v18(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29060, 29059, 29057])).
% 8.10/6.23 tff(29062,plain,
% 8.10/6.23 ((~(v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))) | v18(constB194) | ((~v19(constB194)) | (~v22(constB194)))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29063,plain,
% 8.10/6.23 ((~v19(constB194)) | (~v22(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29062, 29061, 29055])).
% 8.10/6.23 tff(29064,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB194) <=> (v1(constB194) | v6(constB194)))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29065,plain,
% 8.10/6.23 (v22(constB194) <=> (v1(constB194) | v6(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29064, 291])).
% 8.10/6.23 tff(29066,plain,
% 8.10/6.23 ((v1(constB194) | v6(constB194)) | (~v1(constB194))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29067,plain,
% 8.10/6.23 (v1(constB194) | v6(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29066, 28995])).
% 8.10/6.23 tff(29068,plain,
% 8.10/6.23 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194) | (~(v1(constB194) | v6(constB194)))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29069,plain,
% 8.10/6.23 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29068, 29067])).
% 8.10/6.23 tff(29070,plain,
% 8.10/6.23 (v22(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29069, 29065])).
% 8.10/6.23 tff(29071,plain,
% 8.10/6.23 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194)) | (~v22(constB194))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29072,plain,
% 8.10/6.23 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29071, 29070])).
% 8.10/6.23 tff(29073,plain,
% 8.10/6.23 (~v19(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29072, 29063])).
% 8.10/6.23 tff(29074,plain,
% 8.10/6.23 ((~(v19(constB194) <=> (v20(constB194) | v21(constB194)))) | v19(constB194) | (~(v20(constB194) | v21(constB194)))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29075,plain,
% 8.10/6.23 (~(v20(constB194) | v21(constB194))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29074, 29073, 29053])).
% 8.10/6.23 tff(29076,plain,
% 8.10/6.23 ((v20(constB194) | v21(constB194)) | (~v21(constB194))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29077,plain,
% 8.10/6.23 (~v21(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29076, 29075])).
% 8.10/6.23 tff(29078,plain,
% 8.10/6.23 ((~((~v21(constB194)) <=> v6(constB194))) | v21(constB194) | v6(constB194)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29079,plain,
% 8.10/6.23 (v6(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29078, 29077, 29051])).
% 8.10/6.23 tff(29080,plain,
% 8.10/6.23 ((~(v6(constB194) <=> v13(constB194))) | (~v6(constB194)) | v13(constB194)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29081,plain,
% 8.10/6.23 (v13(constB194)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29080, 29079, 29049])).
% 8.10/6.23 tff(29082,plain,
% 8.10/6.23 ((~(v13(constB194) <=> v9(constB193))) | (~v13(constB194)) | v9(constB193)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29083,plain,
% 8.10/6.23 (v9(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29082, 29081, 29047])).
% 8.10/6.23 tff(29084,plain,
% 8.10/6.23 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB193)) <=> v1(constB193))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29085,plain,
% 8.10/6.23 ((~v39(constB193)) <=> v1(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29084, 129])).
% 8.10/6.23 tff(29086,plain,
% 8.10/6.23 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193) | v1(constB193)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29087,plain,
% 8.10/6.23 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29086, 21917])).
% 8.10/6.23 tff(29088,plain,
% 8.10/6.23 (v39(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29087, 29085])).
% 8.10/6.23 tff(29089,plain,
% 8.10/6.23 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v39(constB193)) | (~v9(constB193))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29090,plain,
% 8.10/6.23 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v9(constB193))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29089, 29088])).
% 8.10/6.23 tff(29091,plain,
% 8.10/6.23 (~((~v39(constB193)) | (~v9(constB193)))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29090, 29083])).
% 8.10/6.23 tff(29092,plain,
% 8.10/6.23 ((~(v184(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))) | v184(constB193) | ((~v39(constB193)) | (~v9(constB193)))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29093,plain,
% 8.10/6.23 (v184(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29092, 29091, 29043])).
% 8.10/6.23 tff(29094,plain,
% 8.10/6.23 ((v184(constB193) | v26(constB193)) | (~v184(constB193))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29095,plain,
% 8.10/6.23 (v184(constB193) | v26(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29094, 29093])).
% 8.10/6.23 tff(29096,plain,
% 8.10/6.23 ((~(v183(constB193) <=> (v184(constB193) | v26(constB193)))) | v183(constB193) | (~(v184(constB193) | v26(constB193)))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29097,plain,
% 8.10/6.23 (v183(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29096, 29095, 29041])).
% 8.10/6.23 tff(29098,plain,
% 8.10/6.23 ((~((~v182(constB193)) <=> v183(constB193))) | (~v182(constB193)) | (~v183(constB193))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29099,plain,
% 8.10/6.23 (~v182(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29098, 29097, 29039])).
% 8.10/6.23 tff(29100,plain,
% 8.10/6.23 (((~v157(constB193)) | (~v182(constB193))) | v182(constB193)),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29101,plain,
% 8.10/6.23 ((~v157(constB193)) | (~v182(constB193))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29100, 29099])).
% 8.10/6.23 tff(29102,plain,
% 8.10/6.23 ((~(v181(constB193) <=> (~((~v157(constB193)) | (~v182(constB193)))))) | (~v181(constB193)) | (~((~v157(constB193)) | (~v182(constB193))))),
% 8.10/6.23 inference(tautology,[status(thm)],[])).
% 8.10/6.23 tff(29103,plain,
% 8.10/6.23 (~v181(constB193)),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29102, 29101, 29037])).
% 8.10/6.23 tff(29104,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB193) <=> (~((~v186(constB193)) | (~v187(constB193)))))),
% 8.10/6.23 inference(quant_inst,[status(thm)],[])).
% 8.10/6.23 tff(29105,plain,
% 8.10/6.23 (v185(constB193) <=> (~((~v186(constB193)) | (~v187(constB193))))),
% 8.10/6.23 inference(unit_resolution,[status(thm)],[29104, 96])).
% 8.10/6.23 tff(29106,plain,
% 8.10/6.23 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB193) <=> (~((~v184(constB193)) | (~v159(constB193)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29107,plain,
% 8.10/6.24 (v187(constB193) <=> (~((~v184(constB193)) | (~v159(constB193))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29106, 108])).
% 8.10/6.24 tff(29108,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB193) <=> v161(constB193))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29109,plain,
% 8.10/6.24 (v159(constB193) <=> v161(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29108, 345])).
% 8.10/6.24 tff(29110,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB193) <=> (v145(constB193) | v165(constB193)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29111,plain,
% 8.10/6.24 (v164(constB193) <=> (v145(constB193) | v165(constB193))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29110, 357])).
% 8.10/6.24 tff(29112,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB193) <=> (v142(constB193) | v166(constB193)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29113,plain,
% 8.10/6.24 (v165(constB193) <=> (v142(constB193) | v166(constB193))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29112, 369])).
% 8.10/6.24 tff(29114,plain,
% 8.10/6.24 ((v142(constB193) | v166(constB193)) | (~v142(constB193))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29115,plain,
% 8.10/6.24 (v142(constB193) | v166(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29114, 22530])).
% 8.10/6.24 tff(29116,plain,
% 8.10/6.24 ((~(v165(constB193) <=> (v142(constB193) | v166(constB193)))) | v165(constB193) | (~(v142(constB193) | v166(constB193)))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29117,plain,
% 8.10/6.24 ((~(v165(constB193) <=> (v142(constB193) | v166(constB193)))) | v165(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29116, 29115])).
% 8.10/6.24 tff(29118,plain,
% 8.10/6.24 (v165(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29117, 29113])).
% 8.10/6.24 tff(29119,plain,
% 8.10/6.24 ((v145(constB193) | v165(constB193)) | (~v165(constB193))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29120,plain,
% 8.10/6.24 (v145(constB193) | v165(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29119, 29118])).
% 8.10/6.24 tff(29121,plain,
% 8.10/6.24 ((~(v164(constB193) <=> (v145(constB193) | v165(constB193)))) | v164(constB193) | (~(v145(constB193) | v165(constB193)))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29122,plain,
% 8.10/6.24 (v164(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29121, 29120, 29111])).
% 8.10/6.24 tff(29123,plain,
% 8.10/6.24 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB193)) | (v161(constB193) <=> v168(constB193)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB193)) | (v161(constB193) <=> v168(constB193)))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29124,plain,
% 8.10/6.24 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB193)) | (v161(constB193) <=> v168(constB193)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29125,plain,
% 8.10/6.24 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB193)) | (v161(constB193) <=> v168(constB193))),
% 8.10/6.24 inference(modus_ponens,[status(thm)],[29124, 29123])).
% 8.10/6.24 tff(29126,plain,
% 8.10/6.24 ((~v164(constB193)) | (v161(constB193) <=> v168(constB193))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29125, 12128])).
% 8.10/6.24 tff(29127,plain,
% 8.10/6.24 (v161(constB193) <=> v168(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29126, 29122])).
% 8.10/6.24 tff(29128,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB193) <=> (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29129,plain,
% 8.10/6.24 (v139(constB193) <=> (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29128, 12146])).
% 8.10/6.24 tff(29130,plain,
% 8.10/6.24 ((v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)) | (~v88(constB193, bitIndex2))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29131,plain,
% 8.10/6.24 (v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29130, 22478])).
% 8.10/6.24 tff(29132,plain,
% 8.10/6.24 ((~(v139(constB193) <=> (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2))))) | (~v139(constB193)) | (~(v88(constB193, bitIndex0) | v88(constB193, bitIndex1) | v88(constB193, bitIndex2)))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29133,plain,
% 8.10/6.24 (~v139(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29132, 29131, 29129])).
% 8.10/6.24 tff(29134,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB193) <=> (~(v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29135,plain,
% 8.10/6.24 (v140(constB193) <=> (~(v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29134, 12165])).
% 8.10/6.24 tff(29136,plain,
% 8.10/6.24 ((v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0))) | (~v88(constB193, bitIndex2))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29137,plain,
% 8.10/6.24 (v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29136, 22478])).
% 8.10/6.24 tff(29138,plain,
% 8.10/6.24 ((~(v140(constB193) <=> (~(v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0)))))) | (~v140(constB193)) | (~(v88(constB193, bitIndex1) | v88(constB193, bitIndex2) | (~v88(constB193, bitIndex0))))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29139,plain,
% 8.10/6.24 (~v140(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29138, 29137, 29135])).
% 8.10/6.24 tff(29140,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v168(constB193)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB193) | v140(constB193) | (~v168(constB193)))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29141,plain,
% 8.10/6.24 ((v140(constB193) | v139(constB193) | (~v168(constB193))) <=> (v139(constB193) | v140(constB193) | (~v168(constB193)))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29142,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v168(constB193)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB193) | v140(constB193) | (~v168(constB193))))),
% 8.10/6.24 inference(monotonicity,[status(thm)],[29141])).
% 8.10/6.24 tff(29143,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v168(constB193)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB193) | v140(constB193) | (~v168(constB193)))),
% 8.10/6.24 inference(transitivity,[status(thm)],[29142, 29140])).
% 8.10/6.24 tff(29144,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB193) | v139(constB193) | (~v168(constB193)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29145,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB193) | v140(constB193) | (~v168(constB193))),
% 8.10/6.24 inference(modus_ponens,[status(thm)],[29144, 29143])).
% 8.10/6.24 tff(29146,plain,
% 8.10/6.24 (v139(constB193) | v140(constB193) | (~v168(constB193))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29145, 12184])).
% 8.10/6.24 tff(29147,plain,
% 8.10/6.24 (~v168(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29146, 29139, 29133])).
% 8.10/6.24 tff(29148,plain,
% 8.10/6.24 ((~(v161(constB193) <=> v168(constB193))) | (~v161(constB193)) | v168(constB193)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29149,plain,
% 8.10/6.24 ((~(v161(constB193) <=> v168(constB193))) | (~v161(constB193))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29148, 29147])).
% 8.10/6.24 tff(29150,plain,
% 8.10/6.24 (~v161(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29149, 29127])).
% 8.10/6.24 tff(29151,plain,
% 8.10/6.24 ((~(v159(constB193) <=> v161(constB193))) | (~v159(constB193)) | v161(constB193)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29152,plain,
% 8.10/6.24 ((~(v159(constB193) <=> v161(constB193))) | (~v159(constB193))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29151, 29150])).
% 8.10/6.24 tff(29153,plain,
% 8.10/6.24 (~v159(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29152, 29109])).
% 8.10/6.24 tff(29154,plain,
% 8.10/6.24 (((~v184(constB193)) | (~v159(constB193))) | v159(constB193)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29155,plain,
% 8.10/6.24 ((~v184(constB193)) | (~v159(constB193))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29154, 29153])).
% 8.10/6.24 tff(29156,plain,
% 8.10/6.24 ((~(v187(constB193) <=> (~((~v184(constB193)) | (~v159(constB193)))))) | (~v187(constB193)) | (~((~v184(constB193)) | (~v159(constB193))))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29157,plain,
% 8.10/6.24 (~v187(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29156, 29155, 29107])).
% 8.10/6.24 tff(29158,plain,
% 8.10/6.24 (((~v186(constB193)) | (~v187(constB193))) | v187(constB193)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29159,plain,
% 8.10/6.24 ((~v186(constB193)) | (~v187(constB193))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29158, 29157])).
% 8.10/6.24 tff(29160,plain,
% 8.10/6.24 ((~(v185(constB193) <=> (~((~v186(constB193)) | (~v187(constB193)))))) | (~v185(constB193)) | (~((~v186(constB193)) | (~v187(constB193))))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29161,plain,
% 8.10/6.24 (~v185(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29160, 29159, 29105])).
% 8.10/6.24 tff(29162,plain,
% 8.10/6.24 ((~(v181(constB193) | v185(constB193))) | v181(constB193) | v185(constB193)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29163,plain,
% 8.10/6.24 (~(v181(constB193) | v185(constB193))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29162, 29161, 29103])).
% 8.10/6.24 tff(29164,plain,
% 8.10/6.24 ((~(v178(constB193) <=> (v181(constB193) | v185(constB193)))) | (~v178(constB193)) | (v181(constB193) | v185(constB193))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29165,plain,
% 8.10/6.24 (~v178(constB193)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29164, 29163, 29030])).
% 8.10/6.24 tff(29166,plain,
% 8.10/6.24 ((~(v180(constB194) <=> v178(constB193))) | (~v180(constB194)) | v178(constB193)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29167,plain,
% 8.10/6.24 (~v180(constB194)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29166, 29165, 29028])).
% 8.10/6.24 tff(29168,plain,
% 8.10/6.24 ((~(v157(constB194) <=> v180(constB194))) | (~v157(constB194)) | v180(constB194)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29169,plain,
% 8.10/6.24 (~v157(constB194)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29168, 29167, 29021])).
% 8.10/6.24 tff(29170,plain,
% 8.10/6.24 (((~v157(constB194)) | (~v182(constB194))) | v157(constB194)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29171,plain,
% 8.10/6.24 ((~v157(constB194)) | (~v182(constB194))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29170, 29169])).
% 8.10/6.24 tff(29172,plain,
% 8.10/6.24 ((~(v181(constB194) <=> (~((~v157(constB194)) | (~v182(constB194)))))) | (~v181(constB194)) | (~((~v157(constB194)) | (~v182(constB194))))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29173,plain,
% 8.10/6.24 (~v181(constB194)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29172, 29171, 29019])).
% 8.10/6.24 tff(29174,plain,
% 8.10/6.24 ((~(v181(constB194) | v185(constB194))) | v181(constB194) | v185(constB194)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29175,plain,
% 8.10/6.24 (~(v181(constB194) | v185(constB194))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29174, 29173, 29012])).
% 8.10/6.24 tff(29176,plain,
% 8.10/6.24 ((~(v178(constB194) <=> (v181(constB194) | v185(constB194)))) | (~v178(constB194)) | (v181(constB194) | v185(constB194))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29177,plain,
% 8.10/6.24 (~v178(constB194)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29176, 29175, 28984])).
% 8.10/6.24 tff(29178,plain,
% 8.10/6.24 ((~(v180(constB195) <=> v178(constB194))) | (~v180(constB195)) | v178(constB194)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29179,plain,
% 8.10/6.24 (~v180(constB195)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29178, 29177, 28982])).
% 8.10/6.24 tff(29180,plain,
% 8.10/6.24 ($false),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29179, 28975])).
% 8.10/6.24 tff(29181,plain,(~(constB195 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.24 tff(29182,assumption,(constB135 = VarCurr!0), introduced(assumption)).
% 8.10/6.24 tff(29183,plain,
% 8.10/6.24 (v180(constB135) <=> v180(VarCurr!0)),
% 8.10/6.24 inference(monotonicity,[status(thm)],[29182])).
% 8.10/6.24 tff(29184,plain,
% 8.10/6.24 (v180(VarCurr!0) <=> v180(constB135)),
% 8.10/6.24 inference(symmetry,[status(thm)],[29183])).
% 8.10/6.24 tff(29185,plain,
% 8.10/6.24 (v180(constB135)),
% 8.10/6.24 inference(modus_ponens,[status(thm)],[59, 29184])).
% 8.10/6.24 tff(29186,plain,
% 8.10/6.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB134, constB135)) | (v180(constB135) <=> v178(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB134, constB135)) | (v180(constB135) <=> v178(constB134)))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29187,plain,
% 8.10/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB134, constB135)) | (v180(constB135) <=> v178(constB134)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29188,plain,
% 8.10/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB134, constB135)) | (v180(constB135) <=> v178(constB134))),
% 8.10/6.24 inference(modus_ponens,[status(thm)],[29187, 29186])).
% 8.10/6.24 tff(29189,plain,
% 8.10/6.24 (v180(constB135) <=> v178(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29188, 14052, 70])).
% 8.10/6.24 tff(29190,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB134) <=> (v181(constB134) | v185(constB134)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29191,plain,
% 8.10/6.24 (v178(constB134) <=> (v181(constB134) | v185(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29190, 84])).
% 8.10/6.24 tff(29192,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB134) <=> (~((~v186(constB134)) | (~v187(constB134)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29193,plain,
% 8.10/6.24 (v185(constB134) <=> (~((~v186(constB134)) | (~v187(constB134))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29192, 96])).
% 8.10/6.24 tff(29194,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB134) <=> (~((~v184(constB134)) | (~v159(constB134)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29195,plain,
% 8.10/6.24 (v187(constB134) <=> (~((~v184(constB134)) | (~v159(constB134))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29194, 108])).
% 8.10/6.24 tff(29196,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29197,plain,
% 8.10/6.24 (v184(constB134) <=> (~((~v39(constB134)) | (~v9(constB134))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29196, 120])).
% 8.10/6.24 tff(29198,plain,
% 8.10/6.24 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB134)) <=> v1(constB134))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29199,plain,
% 8.10/6.24 ((~v39(constB134)) <=> v1(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29198, 129])).
% 8.10/6.24 tff(29200,plain,
% 8.10/6.24 ((~((~v39(constB134)) <=> v1(constB134))) | (~v39(constB134)) | (~v1(constB134))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29201,plain,
% 8.10/6.24 ((~((~v39(constB134)) <=> v1(constB134))) | (~v39(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29200, 17444])).
% 8.10/6.24 tff(29202,plain,
% 8.10/6.24 (~v39(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29201, 29199])).
% 8.10/6.24 tff(29203,plain,
% 8.10/6.24 (((~v39(constB134)) | (~v9(constB134))) | v39(constB134)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29204,plain,
% 8.10/6.24 ((~v39(constB134)) | (~v9(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29203, 29202])).
% 8.10/6.24 tff(29205,plain,
% 8.10/6.24 ((~(v184(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))) | (~v184(constB134)) | (~((~v39(constB134)) | (~v9(constB134))))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29206,plain,
% 8.10/6.24 ((~(v184(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))) | (~v184(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29205, 29204])).
% 8.10/6.24 tff(29207,plain,
% 8.10/6.24 (~v184(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29206, 29197])).
% 8.10/6.24 tff(29208,plain,
% 8.10/6.24 (((~v184(constB134)) | (~v159(constB134))) | v184(constB134)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29209,plain,
% 8.10/6.24 ((~v184(constB134)) | (~v159(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29208, 29207])).
% 8.10/6.24 tff(29210,plain,
% 8.10/6.24 ((~(v187(constB134) <=> (~((~v184(constB134)) | (~v159(constB134)))))) | (~v187(constB134)) | (~((~v184(constB134)) | (~v159(constB134))))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29211,plain,
% 8.10/6.24 ((~(v187(constB134) <=> (~((~v184(constB134)) | (~v159(constB134)))))) | (~v187(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29210, 29209])).
% 8.10/6.24 tff(29212,plain,
% 8.10/6.24 (~v187(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29211, 29195])).
% 8.10/6.24 tff(29213,plain,
% 8.10/6.24 (((~v186(constB134)) | (~v187(constB134))) | v187(constB134)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29214,plain,
% 8.10/6.24 ((~v186(constB134)) | (~v187(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29213, 29212])).
% 8.10/6.24 tff(29215,plain,
% 8.10/6.24 ((~(v185(constB134) <=> (~((~v186(constB134)) | (~v187(constB134)))))) | (~v185(constB134)) | (~((~v186(constB134)) | (~v187(constB134))))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29216,plain,
% 8.10/6.24 (~v185(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29215, 29214, 29193])).
% 8.10/6.24 tff(29217,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB134) <=> (~((~v157(constB134)) | (~v182(constB134)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB134) <=> (~((~v157(constB134)) | (~v182(constB134))))))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29218,plain,
% 8.10/6.24 ((v181(constB134) <=> (~((~v182(constB134)) | (~v157(constB134))))) <=> (v181(constB134) <=> (~((~v157(constB134)) | (~v182(constB134)))))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29219,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB134) <=> (~((~v182(constB134)) | (~v157(constB134)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB134) <=> (~((~v157(constB134)) | (~v182(constB134))))))),
% 8.10/6.24 inference(monotonicity,[status(thm)],[29218])).
% 8.10/6.24 tff(29220,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB134) <=> (~((~v182(constB134)) | (~v157(constB134)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB134) <=> (~((~v157(constB134)) | (~v182(constB134))))))),
% 8.10/6.24 inference(transitivity,[status(thm)],[29219, 29217])).
% 8.10/6.24 tff(29221,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB134) <=> (~((~v182(constB134)) | (~v157(constB134)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29222,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB134) <=> (~((~v157(constB134)) | (~v182(constB134)))))),
% 8.10/6.24 inference(modus_ponens,[status(thm)],[29221, 29220])).
% 8.10/6.24 tff(29223,plain,
% 8.10/6.24 (v181(constB134) <=> (~((~v157(constB134)) | (~v182(constB134))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29222, 161])).
% 8.10/6.24 tff(29224,plain,
% 8.10/6.24 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB134) <=> v180(constB134))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29225,plain,
% 8.10/6.24 (v157(constB134) <=> v180(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29224, 13])).
% 8.10/6.24 tff(29226,plain,
% 8.10/6.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB133, constB134)) | (v180(constB134) <=> v178(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB133, constB134)) | (v180(constB134) <=> v178(constB133)))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29227,plain,
% 8.10/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB133, constB134)) | (v180(constB134) <=> v178(constB133)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29228,plain,
% 8.10/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB133, constB134)) | (v180(constB134) <=> v178(constB133))),
% 8.10/6.24 inference(modus_ponens,[status(thm)],[29227, 29226])).
% 8.10/6.24 tff(29229,plain,
% 8.10/6.24 (v180(constB134) <=> v178(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29228, 14088, 70])).
% 8.10/6.24 tff(29230,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB133) <=> (v181(constB133) | v185(constB133)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29231,plain,
% 8.10/6.24 (v178(constB133) <=> (v181(constB133) | v185(constB133))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29230, 84])).
% 8.10/6.24 tff(29232,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB133) <=> (~((~v157(constB133)) | (~v182(constB133)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB133) <=> (~((~v157(constB133)) | (~v182(constB133))))))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29233,plain,
% 8.10/6.24 ((v181(constB133) <=> (~((~v182(constB133)) | (~v157(constB133))))) <=> (v181(constB133) <=> (~((~v157(constB133)) | (~v182(constB133)))))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29234,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB133) <=> (~((~v182(constB133)) | (~v157(constB133)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB133) <=> (~((~v157(constB133)) | (~v182(constB133))))))),
% 8.10/6.24 inference(monotonicity,[status(thm)],[29233])).
% 8.10/6.24 tff(29235,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB133) <=> (~((~v182(constB133)) | (~v157(constB133)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB133) <=> (~((~v157(constB133)) | (~v182(constB133))))))),
% 8.10/6.24 inference(transitivity,[status(thm)],[29234, 29232])).
% 8.10/6.24 tff(29236,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB133) <=> (~((~v182(constB133)) | (~v157(constB133)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29237,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB133) <=> (~((~v157(constB133)) | (~v182(constB133)))))),
% 8.10/6.24 inference(modus_ponens,[status(thm)],[29236, 29235])).
% 8.10/6.24 tff(29238,plain,
% 8.10/6.24 (v181(constB133) <=> (~((~v157(constB133)) | (~v182(constB133))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29237, 161])).
% 8.10/6.24 tff(29239,plain,
% 8.10/6.24 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB133)) <=> v183(constB133))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29240,plain,
% 8.10/6.24 ((~v182(constB133)) <=> v183(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29239, 193])).
% 8.10/6.24 tff(29241,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB133) <=> (v184(constB133) | v26(constB133)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29242,plain,
% 8.10/6.24 (v183(constB133) <=> (v184(constB133) | v26(constB133))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29241, 202])).
% 8.10/6.24 tff(29243,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB133) <=> (~((~v39(constB133)) | (~v9(constB133)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29244,plain,
% 8.10/6.24 (v184(constB133) <=> (~((~v39(constB133)) | (~v9(constB133))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29243, 120])).
% 8.10/6.24 tff(29245,plain,
% 8.10/6.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133)))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29246,plain,
% 8.10/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29247,plain,
% 8.10/6.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133))),
% 8.10/6.24 inference(modus_ponens,[status(thm)],[29246, 29245])).
% 8.10/6.24 tff(29248,plain,
% 8.10/6.24 (v13(constB134) <=> v9(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29247, 14088, 216])).
% 8.10/6.24 tff(29249,plain,
% 8.10/6.24 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB134) <=> v13(constB134))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29250,plain,
% 8.10/6.24 (v6(constB134) <=> v13(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29249, 230])).
% 8.10/6.24 tff(29251,plain,
% 8.10/6.24 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB134)) <=> v6(constB134))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29252,plain,
% 8.10/6.24 ((~v21(constB134)) <=> v6(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29251, 239])).
% 8.10/6.24 tff(29253,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB134) <=> (v20(constB134) | v21(constB134)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29254,plain,
% 8.10/6.24 (v19(constB134) <=> (v20(constB134) | v21(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29253, 248])).
% 8.10/6.24 tff(29255,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB134) <=> (~((~v19(constB134)) | (~v22(constB134)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29256,plain,
% 8.10/6.24 (v18(constB134) <=> (~((~v19(constB134)) | (~v22(constB134))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29255, 260])).
% 8.10/6.24 tff(29257,plain,
% 8.10/6.24 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB134)) <=> v18(constB134))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29258,plain,
% 8.10/6.24 ((~v4(constB134)) <=> v18(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29257, 269])).
% 8.10/6.24 tff(29259,plain,
% 8.10/6.24 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB134)),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29260,plain,
% 8.10/6.24 (v4(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29259, 278])).
% 8.10/6.24 tff(29261,plain,
% 8.10/6.24 ((~((~v4(constB134)) <=> v18(constB134))) | (~v4(constB134)) | (~v18(constB134))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29262,plain,
% 8.10/6.24 (~v18(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29261, 29260, 29258])).
% 8.10/6.24 tff(29263,plain,
% 8.10/6.24 ((~(v18(constB134) <=> (~((~v19(constB134)) | (~v22(constB134)))))) | v18(constB134) | ((~v19(constB134)) | (~v22(constB134)))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29264,plain,
% 8.10/6.24 ((~v19(constB134)) | (~v22(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29263, 29262, 29256])).
% 8.10/6.24 tff(29265,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB134) <=> (v1(constB134) | v6(constB134)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29266,plain,
% 8.10/6.24 (v22(constB134) <=> (v1(constB134) | v6(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29265, 291])).
% 8.10/6.24 tff(29267,plain,
% 8.10/6.24 ((v1(constB134) | v6(constB134)) | (~v1(constB134))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29268,plain,
% 8.10/6.24 (v1(constB134) | v6(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29267, 17444])).
% 8.10/6.24 tff(29269,plain,
% 8.10/6.24 ((~(v22(constB134) <=> (v1(constB134) | v6(constB134)))) | v22(constB134) | (~(v1(constB134) | v6(constB134)))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29270,plain,
% 8.10/6.24 ((~(v22(constB134) <=> (v1(constB134) | v6(constB134)))) | v22(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29269, 29268])).
% 8.10/6.24 tff(29271,plain,
% 8.10/6.24 (v22(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29270, 29266])).
% 8.10/6.24 tff(29272,plain,
% 8.10/6.24 ((~((~v19(constB134)) | (~v22(constB134)))) | (~v19(constB134)) | (~v22(constB134))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29273,plain,
% 8.10/6.24 ((~((~v19(constB134)) | (~v22(constB134)))) | (~v19(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29272, 29271])).
% 8.10/6.24 tff(29274,plain,
% 8.10/6.24 (~v19(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29273, 29264])).
% 8.10/6.24 tff(29275,plain,
% 8.10/6.24 ((~(v19(constB134) <=> (v20(constB134) | v21(constB134)))) | v19(constB134) | (~(v20(constB134) | v21(constB134)))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29276,plain,
% 8.10/6.24 (~(v20(constB134) | v21(constB134))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29275, 29274, 29254])).
% 8.10/6.24 tff(29277,plain,
% 8.10/6.24 ((v20(constB134) | v21(constB134)) | (~v21(constB134))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29278,plain,
% 8.10/6.24 (~v21(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29277, 29276])).
% 8.10/6.24 tff(29279,plain,
% 8.10/6.24 ((~((~v21(constB134)) <=> v6(constB134))) | v21(constB134) | v6(constB134)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29280,plain,
% 8.10/6.24 (v6(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29279, 29278, 29252])).
% 8.10/6.24 tff(29281,plain,
% 8.10/6.24 ((~(v6(constB134) <=> v13(constB134))) | (~v6(constB134)) | v13(constB134)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29282,plain,
% 8.10/6.24 (v13(constB134)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29281, 29280, 29250])).
% 8.10/6.24 tff(29283,plain,
% 8.10/6.24 ((~(v13(constB134) <=> v9(constB133))) | (~v13(constB134)) | v9(constB133)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29284,plain,
% 8.10/6.24 (v9(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29283, 29282, 29248])).
% 8.10/6.24 tff(29285,plain,
% 8.10/6.24 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB133)) <=> v1(constB133))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29286,plain,
% 8.10/6.24 ((~v39(constB133)) <=> v1(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29285, 129])).
% 8.10/6.24 tff(29287,plain,
% 8.10/6.24 ((~((~v39(constB133)) <=> v1(constB133))) | v39(constB133) | v1(constB133)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29288,plain,
% 8.10/6.24 ((~((~v39(constB133)) <=> v1(constB133))) | v39(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29287, 14127])).
% 8.10/6.24 tff(29289,plain,
% 8.10/6.24 (v39(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29288, 29286])).
% 8.10/6.24 tff(29290,plain,
% 8.10/6.24 ((~((~v39(constB133)) | (~v9(constB133)))) | (~v39(constB133)) | (~v9(constB133))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29291,plain,
% 8.10/6.24 ((~((~v39(constB133)) | (~v9(constB133)))) | (~v9(constB133))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29290, 29289])).
% 8.10/6.24 tff(29292,plain,
% 8.10/6.24 (~((~v39(constB133)) | (~v9(constB133)))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29291, 29284])).
% 8.10/6.24 tff(29293,plain,
% 8.10/6.24 ((~(v184(constB133) <=> (~((~v39(constB133)) | (~v9(constB133)))))) | v184(constB133) | ((~v39(constB133)) | (~v9(constB133)))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29294,plain,
% 8.10/6.24 (v184(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29293, 29292, 29244])).
% 8.10/6.24 tff(29295,plain,
% 8.10/6.24 ((v184(constB133) | v26(constB133)) | (~v184(constB133))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29296,plain,
% 8.10/6.24 (v184(constB133) | v26(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29295, 29294])).
% 8.10/6.24 tff(29297,plain,
% 8.10/6.24 ((~(v183(constB133) <=> (v184(constB133) | v26(constB133)))) | v183(constB133) | (~(v184(constB133) | v26(constB133)))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29298,plain,
% 8.10/6.24 (v183(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29297, 29296, 29242])).
% 8.10/6.24 tff(29299,plain,
% 8.10/6.24 ((~((~v182(constB133)) <=> v183(constB133))) | (~v182(constB133)) | (~v183(constB133))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29300,plain,
% 8.10/6.24 (~v182(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29299, 29298, 29240])).
% 8.10/6.24 tff(29301,plain,
% 8.10/6.24 (((~v157(constB133)) | (~v182(constB133))) | v182(constB133)),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29302,plain,
% 8.10/6.24 ((~v157(constB133)) | (~v182(constB133))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29301, 29300])).
% 8.10/6.24 tff(29303,plain,
% 8.10/6.24 ((~(v181(constB133) <=> (~((~v157(constB133)) | (~v182(constB133)))))) | (~v181(constB133)) | (~((~v157(constB133)) | (~v182(constB133))))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29304,plain,
% 8.10/6.24 (~v181(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29303, 29302, 29238])).
% 8.10/6.24 tff(29305,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB133) <=> (~((~v186(constB133)) | (~v187(constB133)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29306,plain,
% 8.10/6.24 (v185(constB133) <=> (~((~v186(constB133)) | (~v187(constB133))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29305, 96])).
% 8.10/6.24 tff(29307,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB133) <=> (~((~v184(constB133)) | (~v159(constB133)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29308,plain,
% 8.10/6.24 (v187(constB133) <=> (~((~v184(constB133)) | (~v159(constB133))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29307, 108])).
% 8.10/6.24 tff(29309,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB133) <=> v161(constB133))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29310,plain,
% 8.10/6.24 (v159(constB133) <=> v161(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29309, 345])).
% 8.10/6.24 tff(29311,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB133) <=> (v145(constB133) | v165(constB133)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29312,plain,
% 8.10/6.24 (v164(constB133) <=> (v145(constB133) | v165(constB133))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29311, 357])).
% 8.10/6.24 tff(29313,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB133) <=> (v142(constB133) | v166(constB133)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29314,plain,
% 8.10/6.24 (v165(constB133) <=> (v142(constB133) | v166(constB133))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29313, 369])).
% 8.10/6.24 tff(29315,plain,
% 8.10/6.24 ((v142(constB133) | v166(constB133)) | (~v142(constB133))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29316,plain,
% 8.10/6.24 (v142(constB133) | v166(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29315, 21836])).
% 8.10/6.24 tff(29317,plain,
% 8.10/6.24 ((~(v165(constB133) <=> (v142(constB133) | v166(constB133)))) | v165(constB133) | (~(v142(constB133) | v166(constB133)))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29318,plain,
% 8.10/6.24 ((~(v165(constB133) <=> (v142(constB133) | v166(constB133)))) | v165(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29317, 29316])).
% 8.10/6.24 tff(29319,plain,
% 8.10/6.24 (v165(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29318, 29314])).
% 8.10/6.24 tff(29320,plain,
% 8.10/6.24 ((v145(constB133) | v165(constB133)) | (~v165(constB133))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29321,plain,
% 8.10/6.24 (v145(constB133) | v165(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29320, 29319])).
% 8.10/6.24 tff(29322,plain,
% 8.10/6.24 ((~(v164(constB133) <=> (v145(constB133) | v165(constB133)))) | v164(constB133) | (~(v145(constB133) | v165(constB133)))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29323,plain,
% 8.10/6.24 (v164(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29322, 29321, 29312])).
% 8.10/6.24 tff(29324,plain,
% 8.10/6.24 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB133)) | (v161(constB133) <=> v168(constB133)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB133)) | (v161(constB133) <=> v168(constB133)))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29325,plain,
% 8.10/6.24 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB133)) | (v161(constB133) <=> v168(constB133)))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29326,plain,
% 8.10/6.24 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB133)) | (v161(constB133) <=> v168(constB133))),
% 8.10/6.24 inference(modus_ponens,[status(thm)],[29325, 29324])).
% 8.10/6.24 tff(29327,plain,
% 8.10/6.24 ((~v164(constB133)) | (v161(constB133) <=> v168(constB133))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29326, 12128])).
% 8.10/6.24 tff(29328,plain,
% 8.10/6.24 (v161(constB133) <=> v168(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29327, 29323])).
% 8.10/6.24 tff(29329,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB133) <=> (~(v88(constB133, bitIndex0) | v88(constB133, bitIndex1) | v88(constB133, bitIndex2))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29330,plain,
% 8.10/6.24 (v139(constB133) <=> (~(v88(constB133, bitIndex0) | v88(constB133, bitIndex1) | v88(constB133, bitIndex2)))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29329, 12146])).
% 8.10/6.24 tff(29331,plain,
% 8.10/6.24 ((v88(constB133, bitIndex0) | v88(constB133, bitIndex1) | v88(constB133, bitIndex2)) | (~v88(constB133, bitIndex2))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29332,plain,
% 8.10/6.24 (v88(constB133, bitIndex0) | v88(constB133, bitIndex1) | v88(constB133, bitIndex2)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29331, 21820])).
% 8.10/6.24 tff(29333,plain,
% 8.10/6.24 ((~(v139(constB133) <=> (~(v88(constB133, bitIndex0) | v88(constB133, bitIndex1) | v88(constB133, bitIndex2))))) | (~v139(constB133)) | (~(v88(constB133, bitIndex0) | v88(constB133, bitIndex1) | v88(constB133, bitIndex2)))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29334,plain,
% 8.10/6.24 (~v139(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29333, 29332, 29330])).
% 8.10/6.24 tff(29335,plain,
% 8.10/6.24 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB133) <=> (~(v88(constB133, bitIndex1) | v88(constB133, bitIndex2) | (~v88(constB133, bitIndex0)))))),
% 8.10/6.24 inference(quant_inst,[status(thm)],[])).
% 8.10/6.24 tff(29336,plain,
% 8.10/6.24 (v140(constB133) <=> (~(v88(constB133, bitIndex1) | v88(constB133, bitIndex2) | (~v88(constB133, bitIndex0))))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29335, 12165])).
% 8.10/6.24 tff(29337,plain,
% 8.10/6.24 ((v88(constB133, bitIndex1) | v88(constB133, bitIndex2) | (~v88(constB133, bitIndex0))) | (~v88(constB133, bitIndex2))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29338,plain,
% 8.10/6.24 (v88(constB133, bitIndex1) | v88(constB133, bitIndex2) | (~v88(constB133, bitIndex0))),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29337, 21820])).
% 8.10/6.24 tff(29339,plain,
% 8.10/6.24 ((~(v140(constB133) <=> (~(v88(constB133, bitIndex1) | v88(constB133, bitIndex2) | (~v88(constB133, bitIndex0)))))) | (~v140(constB133)) | (~(v88(constB133, bitIndex1) | v88(constB133, bitIndex2) | (~v88(constB133, bitIndex0))))),
% 8.10/6.24 inference(tautology,[status(thm)],[])).
% 8.10/6.24 tff(29340,plain,
% 8.10/6.24 (~v140(constB133)),
% 8.10/6.24 inference(unit_resolution,[status(thm)],[29339, 29338, 29336])).
% 8.10/6.24 tff(29341,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB133) | v140(constB133) | (~v168(constB133)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB133) | v140(constB133) | (~v168(constB133)))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29342,plain,
% 8.10/6.24 ((v140(constB133) | v139(constB133) | (~v168(constB133))) <=> (v139(constB133) | v140(constB133) | (~v168(constB133)))),
% 8.10/6.24 inference(rewrite,[status(thm)],[])).
% 8.10/6.24 tff(29343,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB133) | v139(constB133) | (~v168(constB133)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB133) | v140(constB133) | (~v168(constB133))))),
% 8.10/6.24 inference(monotonicity,[status(thm)],[29342])).
% 8.10/6.24 tff(29344,plain,
% 8.10/6.24 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB133) | v139(constB133) | (~v168(constB133)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB133) | v140(constB133) | (~v168(constB133)))),
% 8.10/6.25 inference(transitivity,[status(thm)],[29343, 29341])).
% 8.10/6.25 tff(29345,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB133) | v139(constB133) | (~v168(constB133)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29346,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB133) | v140(constB133) | (~v168(constB133))),
% 8.10/6.25 inference(modus_ponens,[status(thm)],[29345, 29344])).
% 8.10/6.25 tff(29347,plain,
% 8.10/6.25 (v139(constB133) | v140(constB133) | (~v168(constB133))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29346, 12184])).
% 8.10/6.25 tff(29348,plain,
% 8.10/6.25 (~v168(constB133)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29347, 29340, 29334])).
% 8.10/6.25 tff(29349,plain,
% 8.10/6.25 ((~(v161(constB133) <=> v168(constB133))) | (~v161(constB133)) | v168(constB133)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29350,plain,
% 8.10/6.25 ((~(v161(constB133) <=> v168(constB133))) | (~v161(constB133))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29349, 29348])).
% 8.10/6.25 tff(29351,plain,
% 8.10/6.25 (~v161(constB133)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29350, 29328])).
% 8.10/6.25 tff(29352,plain,
% 8.10/6.25 ((~(v159(constB133) <=> v161(constB133))) | (~v159(constB133)) | v161(constB133)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29353,plain,
% 8.10/6.25 ((~(v159(constB133) <=> v161(constB133))) | (~v159(constB133))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29352, 29351])).
% 8.10/6.25 tff(29354,plain,
% 8.10/6.25 (~v159(constB133)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29353, 29310])).
% 8.10/6.25 tff(29355,plain,
% 8.10/6.25 (((~v184(constB133)) | (~v159(constB133))) | v159(constB133)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29356,plain,
% 8.10/6.25 ((~v184(constB133)) | (~v159(constB133))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29355, 29354])).
% 8.10/6.25 tff(29357,plain,
% 8.10/6.25 ((~(v187(constB133) <=> (~((~v184(constB133)) | (~v159(constB133)))))) | (~v187(constB133)) | (~((~v184(constB133)) | (~v159(constB133))))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29358,plain,
% 8.10/6.25 (~v187(constB133)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29357, 29356, 29308])).
% 8.10/6.25 tff(29359,plain,
% 8.10/6.25 (((~v186(constB133)) | (~v187(constB133))) | v187(constB133)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29360,plain,
% 8.10/6.25 ((~v186(constB133)) | (~v187(constB133))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29359, 29358])).
% 8.10/6.25 tff(29361,plain,
% 8.10/6.25 ((~(v185(constB133) <=> (~((~v186(constB133)) | (~v187(constB133)))))) | (~v185(constB133)) | (~((~v186(constB133)) | (~v187(constB133))))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29362,plain,
% 8.10/6.25 (~v185(constB133)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29361, 29360, 29306])).
% 8.10/6.25 tff(29363,plain,
% 8.10/6.25 ((~(v181(constB133) | v185(constB133))) | v181(constB133) | v185(constB133)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29364,plain,
% 8.10/6.25 (~(v181(constB133) | v185(constB133))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29363, 29362, 29304])).
% 8.10/6.25 tff(29365,plain,
% 8.10/6.25 ((~(v178(constB133) <=> (v181(constB133) | v185(constB133)))) | (~v178(constB133)) | (v181(constB133) | v185(constB133))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29366,plain,
% 8.10/6.25 (~v178(constB133)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29365, 29364, 29231])).
% 8.10/6.25 tff(29367,plain,
% 8.10/6.25 ((~(v180(constB134) <=> v178(constB133))) | (~v180(constB134)) | v178(constB133)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29368,plain,
% 8.10/6.25 (~v180(constB134)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29367, 29366, 29229])).
% 8.10/6.25 tff(29369,plain,
% 8.10/6.25 ((~(v157(constB134) <=> v180(constB134))) | (~v157(constB134)) | v180(constB134)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29370,plain,
% 8.10/6.25 (~v157(constB134)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29369, 29368, 29225])).
% 8.10/6.25 tff(29371,plain,
% 8.10/6.25 (((~v157(constB134)) | (~v182(constB134))) | v157(constB134)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29372,plain,
% 8.10/6.25 ((~v157(constB134)) | (~v182(constB134))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29371, 29370])).
% 8.10/6.25 tff(29373,plain,
% 8.10/6.25 ((~(v181(constB134) <=> (~((~v157(constB134)) | (~v182(constB134)))))) | (~v181(constB134)) | (~((~v157(constB134)) | (~v182(constB134))))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29374,plain,
% 8.10/6.25 (~v181(constB134)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29373, 29372, 29223])).
% 8.10/6.25 tff(29375,plain,
% 8.10/6.25 ((~(v181(constB134) | v185(constB134))) | v181(constB134) | v185(constB134)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29376,plain,
% 8.10/6.25 (~(v181(constB134) | v185(constB134))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29375, 29374, 29216])).
% 8.10/6.25 tff(29377,plain,
% 8.10/6.25 ((~(v178(constB134) <=> (v181(constB134) | v185(constB134)))) | (~v178(constB134)) | (v181(constB134) | v185(constB134))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29378,plain,
% 8.10/6.25 (~v178(constB134)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29377, 29376, 29191])).
% 8.10/6.25 tff(29379,plain,
% 8.10/6.25 ((~(v180(constB135) <=> v178(constB134))) | (~v180(constB135)) | v178(constB134)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29380,plain,
% 8.10/6.25 (~v180(constB135)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29379, 29378, 29189])).
% 8.10/6.25 tff(29381,plain,
% 8.10/6.25 ($false),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29380, 29185])).
% 8.10/6.25 tff(29382,plain,(~(constB135 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.25 tff(29383,assumption,(constB31 = VarCurr!0), introduced(assumption)).
% 8.10/6.25 tff(29384,plain,
% 8.10/6.25 (v180(constB31) <=> v180(VarCurr!0)),
% 8.10/6.25 inference(monotonicity,[status(thm)],[29383])).
% 8.10/6.25 tff(29385,plain,
% 8.10/6.25 (v180(VarCurr!0) <=> v180(constB31)),
% 8.10/6.25 inference(symmetry,[status(thm)],[29384])).
% 8.10/6.25 tff(29386,plain,
% 8.10/6.25 (v180(constB31)),
% 8.10/6.25 inference(modus_ponens,[status(thm)],[59, 29385])).
% 8.10/6.25 tff(29387,plain,
% 8.10/6.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB30, constB31)) | (v180(constB31) <=> v178(constB30)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB30, constB31)) | (v180(constB31) <=> v178(constB30)))),
% 8.10/6.25 inference(rewrite,[status(thm)],[])).
% 8.10/6.25 tff(29388,plain,
% 8.10/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB30, constB31)) | (v180(constB31) <=> v178(constB30)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29389,plain,
% 8.10/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB30, constB31)) | (v180(constB31) <=> v178(constB30))),
% 8.10/6.25 inference(modus_ponens,[status(thm)],[29388, 29387])).
% 8.10/6.25 tff(29390,plain,
% 8.10/6.25 (v180(constB31) <=> v178(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29389, 2899, 70])).
% 8.10/6.25 tff(29391,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB30) <=> (v181(constB30) | v185(constB30)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29392,plain,
% 8.10/6.25 (v178(constB30) <=> (v181(constB30) | v185(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29391, 84])).
% 8.10/6.25 tff(29393,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB30) <=> (~((~v186(constB30)) | (~v187(constB30)))))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29394,plain,
% 8.10/6.25 (v185(constB30) <=> (~((~v186(constB30)) | (~v187(constB30))))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29393, 96])).
% 8.10/6.25 tff(29395,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB30) <=> (~((~v184(constB30)) | (~v159(constB30)))))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29396,plain,
% 8.10/6.25 (v187(constB30) <=> (~((~v184(constB30)) | (~v159(constB30))))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29395, 108])).
% 8.10/6.25 tff(29397,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB30) <=> (~((~v39(constB30)) | (~v9(constB30)))))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29398,plain,
% 8.10/6.25 (v184(constB30) <=> (~((~v39(constB30)) | (~v9(constB30))))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29397, 120])).
% 8.10/6.25 tff(29399,plain,
% 8.10/6.25 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB30)) <=> v1(constB30))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29400,plain,
% 8.10/6.25 ((~v39(constB30)) <=> v1(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29399, 129])).
% 8.10/6.25 tff(29401,plain,
% 8.10/6.25 ((~((~v39(constB30)) <=> v1(constB30))) | (~v39(constB30)) | (~v1(constB30))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29402,plain,
% 8.10/6.25 ((~((~v39(constB30)) <=> v1(constB30))) | (~v39(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29401, 6368])).
% 8.10/6.25 tff(29403,plain,
% 8.10/6.25 (~v39(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29402, 29400])).
% 8.10/6.25 tff(29404,plain,
% 8.10/6.25 (((~v39(constB30)) | (~v9(constB30))) | v39(constB30)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29405,plain,
% 8.10/6.25 ((~v39(constB30)) | (~v9(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29404, 29403])).
% 8.10/6.25 tff(29406,plain,
% 8.10/6.25 ((~(v184(constB30) <=> (~((~v39(constB30)) | (~v9(constB30)))))) | (~v184(constB30)) | (~((~v39(constB30)) | (~v9(constB30))))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29407,plain,
% 8.10/6.25 ((~(v184(constB30) <=> (~((~v39(constB30)) | (~v9(constB30)))))) | (~v184(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29406, 29405])).
% 8.10/6.25 tff(29408,plain,
% 8.10/6.25 (~v184(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29407, 29398])).
% 8.10/6.25 tff(29409,plain,
% 8.10/6.25 (((~v184(constB30)) | (~v159(constB30))) | v184(constB30)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29410,plain,
% 8.10/6.25 ((~v184(constB30)) | (~v159(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29409, 29408])).
% 8.10/6.25 tff(29411,plain,
% 8.10/6.25 ((~(v187(constB30) <=> (~((~v184(constB30)) | (~v159(constB30)))))) | (~v187(constB30)) | (~((~v184(constB30)) | (~v159(constB30))))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29412,plain,
% 8.10/6.25 ((~(v187(constB30) <=> (~((~v184(constB30)) | (~v159(constB30)))))) | (~v187(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29411, 29410])).
% 8.10/6.25 tff(29413,plain,
% 8.10/6.25 (~v187(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29412, 29396])).
% 8.10/6.25 tff(29414,plain,
% 8.10/6.25 (((~v186(constB30)) | (~v187(constB30))) | v187(constB30)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29415,plain,
% 8.10/6.25 ((~v186(constB30)) | (~v187(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29414, 29413])).
% 8.10/6.25 tff(29416,plain,
% 8.10/6.25 ((~(v185(constB30) <=> (~((~v186(constB30)) | (~v187(constB30)))))) | (~v185(constB30)) | (~((~v186(constB30)) | (~v187(constB30))))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29417,plain,
% 8.10/6.25 (~v185(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29416, 29415, 29394])).
% 8.10/6.25 tff(29418,plain,
% 8.10/6.25 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30))))))),
% 8.10/6.25 inference(rewrite,[status(thm)],[])).
% 8.10/6.25 tff(29419,plain,
% 8.10/6.25 ((v181(constB30) <=> (~((~v182(constB30)) | (~v157(constB30))))) <=> (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30)))))),
% 8.10/6.25 inference(rewrite,[status(thm)],[])).
% 8.10/6.25 tff(29420,plain,
% 8.10/6.25 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v182(constB30)) | (~v157(constB30)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30))))))),
% 8.10/6.25 inference(monotonicity,[status(thm)],[29419])).
% 8.10/6.25 tff(29421,plain,
% 8.10/6.25 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v182(constB30)) | (~v157(constB30)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30))))))),
% 8.10/6.25 inference(transitivity,[status(thm)],[29420, 29418])).
% 8.10/6.25 tff(29422,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v182(constB30)) | (~v157(constB30)))))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29423,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30)))))),
% 8.10/6.25 inference(modus_ponens,[status(thm)],[29422, 29421])).
% 8.10/6.25 tff(29424,plain,
% 8.10/6.25 (v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30))))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29423, 161])).
% 8.10/6.25 tff(29425,plain,
% 8.10/6.25 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB30) <=> v180(constB30))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29426,plain,
% 8.10/6.25 (v157(constB30) <=> v180(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29425, 13])).
% 8.10/6.25 tff(29427,plain,
% 8.10/6.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB29, constB30)) | (v180(constB30) <=> v178(constB29)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB29, constB30)) | (v180(constB30) <=> v178(constB29)))),
% 8.10/6.25 inference(rewrite,[status(thm)],[])).
% 8.10/6.25 tff(29428,plain,
% 8.10/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB29, constB30)) | (v180(constB30) <=> v178(constB29)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29429,plain,
% 8.10/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB29, constB30)) | (v180(constB30) <=> v178(constB29))),
% 8.10/6.25 inference(modus_ponens,[status(thm)],[29428, 29427])).
% 8.10/6.25 tff(29430,plain,
% 8.10/6.25 (v180(constB30) <=> v178(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29429, 2935, 70])).
% 8.10/6.25 tff(29431,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB29) <=> (v181(constB29) | v185(constB29)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29432,plain,
% 8.10/6.25 (v178(constB29) <=> (v181(constB29) | v185(constB29))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29431, 84])).
% 8.10/6.25 tff(29433,plain,
% 8.10/6.25 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29))))))),
% 8.10/6.25 inference(rewrite,[status(thm)],[])).
% 8.10/6.25 tff(29434,plain,
% 8.10/6.25 ((v181(constB29) <=> (~((~v182(constB29)) | (~v157(constB29))))) <=> (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29)))))),
% 8.10/6.25 inference(rewrite,[status(thm)],[])).
% 8.10/6.25 tff(29435,plain,
% 8.10/6.25 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v182(constB29)) | (~v157(constB29)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29))))))),
% 8.10/6.25 inference(monotonicity,[status(thm)],[29434])).
% 8.10/6.25 tff(29436,plain,
% 8.10/6.25 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v182(constB29)) | (~v157(constB29)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29))))))),
% 8.10/6.25 inference(transitivity,[status(thm)],[29435, 29433])).
% 8.10/6.25 tff(29437,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v182(constB29)) | (~v157(constB29)))))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29438,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29)))))),
% 8.10/6.25 inference(modus_ponens,[status(thm)],[29437, 29436])).
% 8.10/6.25 tff(29439,plain,
% 8.10/6.25 (v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29))))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29438, 161])).
% 8.10/6.25 tff(29440,plain,
% 8.10/6.25 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB29)) <=> v183(constB29))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29441,plain,
% 8.10/6.25 ((~v182(constB29)) <=> v183(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29440, 193])).
% 8.10/6.25 tff(29442,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB29) <=> (v184(constB29) | v26(constB29)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29443,plain,
% 8.10/6.25 (v183(constB29) <=> (v184(constB29) | v26(constB29))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29442, 202])).
% 8.10/6.25 tff(29444,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB29) <=> (~((~v39(constB29)) | (~v9(constB29)))))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29445,plain,
% 8.10/6.25 (v184(constB29) <=> (~((~v39(constB29)) | (~v9(constB29))))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29444, 120])).
% 8.10/6.25 tff(29446,plain,
% 8.10/6.25 (((~![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)))),
% 8.10/6.25 inference(rewrite,[status(thm)],[])).
% 8.10/6.25 tff(29447,plain,
% 8.10/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB29, constB30)) | (v13(constB30) <=> v9(constB29)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29448,plain,
% 8.10/6.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB29, constB30)) | (v13(constB30) <=> v9(constB29))),
% 8.10/6.25 inference(modus_ponens,[status(thm)],[29447, 29446])).
% 8.10/6.25 tff(29449,plain,
% 8.10/6.25 (v13(constB30) <=> v9(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29448, 2935, 216])).
% 8.10/6.25 tff(29450,plain,
% 8.10/6.25 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB30) <=> v13(constB30))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29451,plain,
% 8.10/6.25 (v6(constB30) <=> v13(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29450, 230])).
% 8.10/6.25 tff(29452,plain,
% 8.10/6.25 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB30)) <=> v6(constB30))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29453,plain,
% 8.10/6.25 ((~v21(constB30)) <=> v6(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29452, 239])).
% 8.10/6.25 tff(29454,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB30) <=> (v20(constB30) | v21(constB30)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29455,plain,
% 8.10/6.25 (v19(constB30) <=> (v20(constB30) | v21(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29454, 248])).
% 8.10/6.25 tff(29456,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB30) <=> (~((~v19(constB30)) | (~v22(constB30)))))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29457,plain,
% 8.10/6.25 (v18(constB30) <=> (~((~v19(constB30)) | (~v22(constB30))))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29456, 260])).
% 8.10/6.25 tff(29458,plain,
% 8.10/6.25 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB30)) <=> v18(constB30))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29459,plain,
% 8.10/6.25 ((~v4(constB30)) <=> v18(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29458, 269])).
% 8.10/6.25 tff(29460,plain,
% 8.10/6.25 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB30)),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29461,plain,
% 8.10/6.25 (v4(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29460, 278])).
% 8.10/6.25 tff(29462,plain,
% 8.10/6.25 ((~((~v4(constB30)) <=> v18(constB30))) | (~v4(constB30)) | (~v18(constB30))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29463,plain,
% 8.10/6.25 (~v18(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29462, 29461, 29459])).
% 8.10/6.25 tff(29464,plain,
% 8.10/6.25 ((~(v18(constB30) <=> (~((~v19(constB30)) | (~v22(constB30)))))) | v18(constB30) | ((~v19(constB30)) | (~v22(constB30)))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29465,plain,
% 8.10/6.25 ((~v19(constB30)) | (~v22(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29464, 29463, 29457])).
% 8.10/6.25 tff(29466,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB30) <=> (v1(constB30) | v6(constB30)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29467,plain,
% 8.10/6.25 (v22(constB30) <=> (v1(constB30) | v6(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29466, 291])).
% 8.10/6.25 tff(29468,plain,
% 8.10/6.25 ((v1(constB30) | v6(constB30)) | (~v1(constB30))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29469,plain,
% 8.10/6.25 (v1(constB30) | v6(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29468, 6368])).
% 8.10/6.25 tff(29470,plain,
% 8.10/6.25 ((~(v22(constB30) <=> (v1(constB30) | v6(constB30)))) | v22(constB30) | (~(v1(constB30) | v6(constB30)))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29471,plain,
% 8.10/6.25 ((~(v22(constB30) <=> (v1(constB30) | v6(constB30)))) | v22(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29470, 29469])).
% 8.10/6.25 tff(29472,plain,
% 8.10/6.25 (v22(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29471, 29467])).
% 8.10/6.25 tff(29473,plain,
% 8.10/6.25 ((~((~v19(constB30)) | (~v22(constB30)))) | (~v19(constB30)) | (~v22(constB30))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29474,plain,
% 8.10/6.25 ((~((~v19(constB30)) | (~v22(constB30)))) | (~v19(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29473, 29472])).
% 8.10/6.25 tff(29475,plain,
% 8.10/6.25 (~v19(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29474, 29465])).
% 8.10/6.25 tff(29476,plain,
% 8.10/6.25 ((~(v19(constB30) <=> (v20(constB30) | v21(constB30)))) | v19(constB30) | (~(v20(constB30) | v21(constB30)))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29477,plain,
% 8.10/6.25 (~(v20(constB30) | v21(constB30))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29476, 29475, 29455])).
% 8.10/6.25 tff(29478,plain,
% 8.10/6.25 ((v20(constB30) | v21(constB30)) | (~v21(constB30))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29479,plain,
% 8.10/6.25 (~v21(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29478, 29477])).
% 8.10/6.25 tff(29480,plain,
% 8.10/6.25 ((~((~v21(constB30)) <=> v6(constB30))) | v21(constB30) | v6(constB30)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29481,plain,
% 8.10/6.25 (v6(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29480, 29479, 29453])).
% 8.10/6.25 tff(29482,plain,
% 8.10/6.25 ((~(v6(constB30) <=> v13(constB30))) | (~v6(constB30)) | v13(constB30)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29483,plain,
% 8.10/6.25 (v13(constB30)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29482, 29481, 29451])).
% 8.10/6.25 tff(29484,plain,
% 8.10/6.25 ((~(v13(constB30) <=> v9(constB29))) | (~v13(constB30)) | v9(constB29)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29485,plain,
% 8.10/6.25 (v9(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29484, 29483, 29449])).
% 8.10/6.25 tff(29486,plain,
% 8.10/6.25 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB29)) <=> v1(constB29))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29487,plain,
% 8.10/6.25 ((~v39(constB29)) <=> v1(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29486, 129])).
% 8.10/6.25 tff(29488,plain,
% 8.10/6.25 ((~((~v39(constB29)) <=> v1(constB29))) | v39(constB29) | v1(constB29)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29489,plain,
% 8.10/6.25 ((~((~v39(constB29)) <=> v1(constB29))) | v39(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29488, 2979])).
% 8.10/6.25 tff(29490,plain,
% 8.10/6.25 (v39(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29489, 29487])).
% 8.10/6.25 tff(29491,plain,
% 8.10/6.25 ((~((~v39(constB29)) | (~v9(constB29)))) | (~v39(constB29)) | (~v9(constB29))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29492,plain,
% 8.10/6.25 ((~((~v39(constB29)) | (~v9(constB29)))) | (~v9(constB29))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29491, 29490])).
% 8.10/6.25 tff(29493,plain,
% 8.10/6.25 (~((~v39(constB29)) | (~v9(constB29)))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29492, 29485])).
% 8.10/6.25 tff(29494,plain,
% 8.10/6.25 ((~(v184(constB29) <=> (~((~v39(constB29)) | (~v9(constB29)))))) | v184(constB29) | ((~v39(constB29)) | (~v9(constB29)))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29495,plain,
% 8.10/6.25 (v184(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29494, 29493, 29445])).
% 8.10/6.25 tff(29496,plain,
% 8.10/6.25 ((v184(constB29) | v26(constB29)) | (~v184(constB29))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29497,plain,
% 8.10/6.25 (v184(constB29) | v26(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29496, 29495])).
% 8.10/6.25 tff(29498,plain,
% 8.10/6.25 ((~(v183(constB29) <=> (v184(constB29) | v26(constB29)))) | v183(constB29) | (~(v184(constB29) | v26(constB29)))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29499,plain,
% 8.10/6.25 (v183(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29498, 29497, 29443])).
% 8.10/6.25 tff(29500,plain,
% 8.10/6.25 ((~((~v182(constB29)) <=> v183(constB29))) | (~v182(constB29)) | (~v183(constB29))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29501,plain,
% 8.10/6.25 (~v182(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29500, 29499, 29441])).
% 8.10/6.25 tff(29502,plain,
% 8.10/6.25 (((~v157(constB29)) | (~v182(constB29))) | v182(constB29)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29503,plain,
% 8.10/6.25 ((~v157(constB29)) | (~v182(constB29))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29502, 29501])).
% 8.10/6.25 tff(29504,plain,
% 8.10/6.25 ((~(v181(constB29) <=> (~((~v157(constB29)) | (~v182(constB29)))))) | (~v181(constB29)) | (~((~v157(constB29)) | (~v182(constB29))))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29505,plain,
% 8.10/6.25 (~v181(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29504, 29503, 29439])).
% 8.10/6.25 tff(29506,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB29) <=> (~((~v186(constB29)) | (~v187(constB29)))))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29507,plain,
% 8.10/6.25 (v185(constB29) <=> (~((~v186(constB29)) | (~v187(constB29))))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29506, 96])).
% 8.10/6.25 tff(29508,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB29) <=> (~((~v184(constB29)) | (~v159(constB29)))))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29509,plain,
% 8.10/6.25 (v187(constB29) <=> (~((~v184(constB29)) | (~v159(constB29))))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29508, 108])).
% 8.10/6.25 tff(29510,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB29) <=> v161(constB29))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29511,plain,
% 8.10/6.25 (v159(constB29) <=> v161(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29510, 345])).
% 8.10/6.25 tff(29512,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB29) <=> (v145(constB29) | v165(constB29)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29513,plain,
% 8.10/6.25 (v164(constB29) <=> (v145(constB29) | v165(constB29))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29512, 357])).
% 8.10/6.25 tff(29514,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB29) <=> (v142(constB29) | v166(constB29)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29515,plain,
% 8.10/6.25 (v165(constB29) <=> (v142(constB29) | v166(constB29))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29514, 369])).
% 8.10/6.25 tff(29516,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB29) <=> (v143(constB29) | v144(constB29)))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29517,plain,
% 8.10/6.25 (v142(constB29) <=> (v143(constB29) | v144(constB29))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29516, 21792])).
% 8.10/6.25 tff(29518,plain,
% 8.10/6.25 (((~![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)))))),
% 8.10/6.25 inference(rewrite,[status(thm)],[])).
% 8.10/6.25 tff(29519,plain,
% 8.10/6.25 ((v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1))))) <=> (v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))))),
% 8.10/6.25 inference(rewrite,[status(thm)],[])).
% 8.10/6.25 tff(29520,plain,
% 8.10/6.25 (((~![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)))))),
% 8.10/6.25 inference(monotonicity,[status(thm)],[29519])).
% 8.10/6.25 tff(29521,plain,
% 8.10/6.25 (((~![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)))))),
% 8.10/6.25 inference(transitivity,[status(thm)],[29520, 29518])).
% 8.10/6.25 tff(29522,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)))))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29523,plain,
% 8.10/6.25 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))))),
% 8.10/6.25 inference(modus_ponens,[status(thm)],[29522, 29521])).
% 8.10/6.25 tff(29524,plain,
% 8.10/6.25 (v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0)))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29523, 23745])).
% 8.10/6.25 tff(29525,plain,
% 8.10/6.25 ((~![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))))),
% 8.10/6.25 inference(quant_inst,[status(thm)],[])).
% 8.10/6.25 tff(29526,plain,
% 8.10/6.25 (~(((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)) | ((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)) | ((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0)))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29525, 416])).
% 8.10/6.25 tff(29527,plain,
% 8.10/6.25 ((((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)) | ((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)) | ((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0))) | (~((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29528,plain,
% 8.10/6.25 (~((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29527, 29526])).
% 8.10/6.25 tff(29529,plain,
% 8.10/6.25 (((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)) | (~v88(constB29, bitIndex2)) | v90(constB29, bitIndex2)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29530,plain,
% 8.10/6.25 (~v88(constB29, bitIndex2)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29529, 6287, 29528])).
% 8.10/6.25 tff(29531,plain,
% 8.10/6.25 ((((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)) | ((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)) | ((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0))) | (~((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0)))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29532,plain,
% 8.10/6.25 (~((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29531, 29526])).
% 8.10/6.25 tff(29533,plain,
% 8.10/6.25 (((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0)) | (~v88(constB29, bitIndex0)) | v90(constB29, bitIndex0)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29534,plain,
% 8.10/6.25 (~v88(constB29, bitIndex0)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29533, 6305, 29532])).
% 8.10/6.25 tff(29535,plain,
% 8.10/6.25 ((((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)) | ((~v88(constB29, bitIndex2)) <=> v90(constB29, bitIndex2)) | ((~v88(constB29, bitIndex0)) <=> v90(constB29, bitIndex0))) | (~((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29536,plain,
% 8.10/6.25 (~((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29535, 29526])).
% 8.10/6.25 tff(29537,plain,
% 8.10/6.25 (((~v88(constB29, bitIndex1)) <=> v90(constB29, bitIndex1)) | v88(constB29, bitIndex1) | (~v90(constB29, bitIndex1))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29538,plain,
% 8.10/6.25 (v88(constB29, bitIndex1)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29537, 6323, 29536])).
% 8.10/6.25 tff(29539,plain,
% 8.10/6.25 ((~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0)),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29540,plain,
% 8.10/6.25 (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29539, 29538, 29534, 29530])).
% 8.10/6.25 tff(29541,plain,
% 8.10/6.25 ((~(v143(constB29) <=> (~((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))))) | v143(constB29) | ((~v88(constB29, bitIndex1)) | v88(constB29, bitIndex2) | v88(constB29, bitIndex0))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29542,plain,
% 8.10/6.25 (v143(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29541, 29540, 29524])).
% 8.10/6.25 tff(29543,plain,
% 8.10/6.25 ((v143(constB29) | v144(constB29)) | (~v143(constB29))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29544,plain,
% 8.10/6.25 (v143(constB29) | v144(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29543, 29542])).
% 8.10/6.25 tff(29545,plain,
% 8.10/6.25 ((~(v142(constB29) <=> (v143(constB29) | v144(constB29)))) | v142(constB29) | (~(v143(constB29) | v144(constB29)))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29546,plain,
% 8.10/6.25 (v142(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29545, 29544, 29517])).
% 8.10/6.25 tff(29547,plain,
% 8.10/6.25 ((v142(constB29) | v166(constB29)) | (~v142(constB29))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29548,plain,
% 8.10/6.25 (v142(constB29) | v166(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29547, 29546])).
% 8.10/6.25 tff(29549,plain,
% 8.10/6.25 ((~(v165(constB29) <=> (v142(constB29) | v166(constB29)))) | v165(constB29) | (~(v142(constB29) | v166(constB29)))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29550,plain,
% 8.10/6.25 ((~(v165(constB29) <=> (v142(constB29) | v166(constB29)))) | v165(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29549, 29548])).
% 8.10/6.25 tff(29551,plain,
% 8.10/6.25 (v165(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29550, 29515])).
% 8.10/6.25 tff(29552,plain,
% 8.10/6.25 ((v145(constB29) | v165(constB29)) | (~v165(constB29))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29553,plain,
% 8.10/6.25 (v145(constB29) | v165(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29552, 29551])).
% 8.10/6.25 tff(29554,plain,
% 8.10/6.25 ((~(v164(constB29) <=> (v145(constB29) | v165(constB29)))) | v164(constB29) | (~(v145(constB29) | v165(constB29)))),
% 8.10/6.25 inference(tautology,[status(thm)],[])).
% 8.10/6.25 tff(29555,plain,
% 8.10/6.25 (v164(constB29)),
% 8.10/6.25 inference(unit_resolution,[status(thm)],[29554, 29553, 29513])).
% 8.10/6.25 tff(29556,plain,
% 8.10/6.25 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB29)) | (v161(constB29) <=> v168(constB29)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB29)) | (v161(constB29) <=> v168(constB29)))),
% 8.10/6.25 inference(rewrite,[status(thm)],[])).
% 8.10/6.25 tff(29557,plain,
% 8.10/6.25 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB29)) | (v161(constB29) <=> v168(constB29)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29558,plain,
% 8.10/6.26 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB29)) | (v161(constB29) <=> v168(constB29))),
% 8.10/6.26 inference(modus_ponens,[status(thm)],[29557, 29556])).
% 8.10/6.26 tff(29559,plain,
% 8.10/6.26 ((~v164(constB29)) | (v161(constB29) <=> v168(constB29))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29558, 12128])).
% 8.10/6.26 tff(29560,plain,
% 8.10/6.26 (v161(constB29) <=> v168(constB29)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29559, 29555])).
% 8.10/6.26 tff(29561,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29562,plain,
% 8.10/6.26 (v139(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2)))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29561, 12146])).
% 8.10/6.26 tff(29563,plain,
% 8.10/6.26 ((v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2)) | (~v88(constB29, bitIndex1))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29564,plain,
% 8.10/6.26 (v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29563, 29538])).
% 8.10/6.26 tff(29565,plain,
% 8.10/6.26 ((~(v139(constB29) <=> (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2))))) | (~v139(constB29)) | (~(v88(constB29, bitIndex0) | v88(constB29, bitIndex1) | v88(constB29, bitIndex2)))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29566,plain,
% 8.10/6.26 (~v139(constB29)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29565, 29564, 29562])).
% 8.10/6.26 tff(29567,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB29) <=> (~(v88(constB29, bitIndex1) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex0)))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29568,plain,
% 8.10/6.26 (v140(constB29) <=> (~(v88(constB29, bitIndex1) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex0))))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29567, 12165])).
% 8.10/6.26 tff(29569,plain,
% 8.10/6.26 ((v88(constB29, bitIndex1) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex0))) | (~v88(constB29, bitIndex1))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29570,plain,
% 8.10/6.26 (v88(constB29, bitIndex1) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex0))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29569, 29538])).
% 8.10/6.26 tff(29571,plain,
% 8.10/6.26 ((~(v140(constB29) <=> (~(v88(constB29, bitIndex1) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex0)))))) | (~v140(constB29)) | (~(v88(constB29, bitIndex1) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex0))))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29572,plain,
% 8.10/6.26 (~v140(constB29)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29571, 29570, 29568])).
% 8.10/6.26 tff(29573,plain,
% 8.10/6.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB29) | v139(constB29) | (~v168(constB29)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB29) | v139(constB29) | (~v168(constB29)))),
% 8.10/6.26 inference(rewrite,[status(thm)],[])).
% 8.10/6.26 tff(29574,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB29) | v139(constB29) | (~v168(constB29)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29575,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB29) | v139(constB29) | (~v168(constB29))),
% 8.10/6.26 inference(modus_ponens,[status(thm)],[29574, 29573])).
% 8.10/6.26 tff(29576,plain,
% 8.10/6.26 (v140(constB29) | v139(constB29) | (~v168(constB29))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29575, 12184])).
% 8.10/6.26 tff(29577,plain,
% 8.10/6.26 (~v168(constB29)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29576, 29572, 29566])).
% 8.10/6.26 tff(29578,plain,
% 8.10/6.26 ((~(v161(constB29) <=> v168(constB29))) | (~v161(constB29)) | v168(constB29)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29579,plain,
% 8.10/6.26 ((~(v161(constB29) <=> v168(constB29))) | (~v161(constB29))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29578, 29577])).
% 8.10/6.26 tff(29580,plain,
% 8.10/6.26 (~v161(constB29)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29579, 29560])).
% 8.10/6.26 tff(29581,plain,
% 8.10/6.26 ((~(v159(constB29) <=> v161(constB29))) | (~v159(constB29)) | v161(constB29)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29582,plain,
% 8.10/6.26 ((~(v159(constB29) <=> v161(constB29))) | (~v159(constB29))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29581, 29580])).
% 8.10/6.26 tff(29583,plain,
% 8.10/6.26 (~v159(constB29)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29582, 29511])).
% 8.10/6.26 tff(29584,plain,
% 8.10/6.26 (((~v184(constB29)) | (~v159(constB29))) | v159(constB29)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29585,plain,
% 8.10/6.26 ((~v184(constB29)) | (~v159(constB29))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29584, 29583])).
% 8.10/6.26 tff(29586,plain,
% 8.10/6.26 ((~(v187(constB29) <=> (~((~v184(constB29)) | (~v159(constB29)))))) | (~v187(constB29)) | (~((~v184(constB29)) | (~v159(constB29))))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29587,plain,
% 8.10/6.26 (~v187(constB29)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29586, 29585, 29509])).
% 8.10/6.26 tff(29588,plain,
% 8.10/6.26 (((~v186(constB29)) | (~v187(constB29))) | v187(constB29)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29589,plain,
% 8.10/6.26 ((~v186(constB29)) | (~v187(constB29))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29588, 29587])).
% 8.10/6.26 tff(29590,plain,
% 8.10/6.26 ((~(v185(constB29) <=> (~((~v186(constB29)) | (~v187(constB29)))))) | (~v185(constB29)) | (~((~v186(constB29)) | (~v187(constB29))))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29591,plain,
% 8.10/6.26 (~v185(constB29)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29590, 29589, 29507])).
% 8.10/6.26 tff(29592,plain,
% 8.10/6.26 ((~(v181(constB29) | v185(constB29))) | v181(constB29) | v185(constB29)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29593,plain,
% 8.10/6.26 (~(v181(constB29) | v185(constB29))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29592, 29591, 29505])).
% 8.10/6.26 tff(29594,plain,
% 8.10/6.26 ((~(v178(constB29) <=> (v181(constB29) | v185(constB29)))) | (~v178(constB29)) | (v181(constB29) | v185(constB29))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29595,plain,
% 8.10/6.26 (~v178(constB29)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29594, 29593, 29432])).
% 8.10/6.26 tff(29596,plain,
% 8.10/6.26 ((~(v180(constB30) <=> v178(constB29))) | (~v180(constB30)) | v178(constB29)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29597,plain,
% 8.10/6.26 (~v180(constB30)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29596, 29595, 29430])).
% 8.10/6.26 tff(29598,plain,
% 8.10/6.26 ((~(v157(constB30) <=> v180(constB30))) | (~v157(constB30)) | v180(constB30)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29599,plain,
% 8.10/6.26 (~v157(constB30)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29598, 29597, 29426])).
% 8.10/6.26 tff(29600,plain,
% 8.10/6.26 (((~v157(constB30)) | (~v182(constB30))) | v157(constB30)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29601,plain,
% 8.10/6.26 ((~v157(constB30)) | (~v182(constB30))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29600, 29599])).
% 8.10/6.26 tff(29602,plain,
% 8.10/6.26 ((~(v181(constB30) <=> (~((~v157(constB30)) | (~v182(constB30)))))) | (~v181(constB30)) | (~((~v157(constB30)) | (~v182(constB30))))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29603,plain,
% 8.10/6.26 (~v181(constB30)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29602, 29601, 29424])).
% 8.10/6.26 tff(29604,plain,
% 8.10/6.26 ((~(v181(constB30) | v185(constB30))) | v181(constB30) | v185(constB30)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29605,plain,
% 8.10/6.26 (~(v181(constB30) | v185(constB30))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29604, 29603, 29417])).
% 8.10/6.26 tff(29606,plain,
% 8.10/6.26 ((~(v178(constB30) <=> (v181(constB30) | v185(constB30)))) | (~v178(constB30)) | (v181(constB30) | v185(constB30))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29607,plain,
% 8.10/6.26 (~v178(constB30)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29606, 29605, 29392])).
% 8.10/6.26 tff(29608,plain,
% 8.10/6.26 ((~(v180(constB31) <=> v178(constB30))) | (~v180(constB31)) | v178(constB30)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29609,plain,
% 8.10/6.26 (~v180(constB31)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29608, 29607, 29390])).
% 8.10/6.26 tff(29610,plain,
% 8.10/6.26 ($false),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29609, 29386])).
% 8.10/6.26 tff(29611,plain,(~(constB31 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.26 tff(29612,assumption,(constB115 = VarCurr!0), introduced(assumption)).
% 8.10/6.26 tff(29613,plain,
% 8.10/6.26 (v180(constB115) <=> v180(VarCurr!0)),
% 8.10/6.26 inference(monotonicity,[status(thm)],[29612])).
% 8.10/6.26 tff(29614,plain,
% 8.10/6.26 (v180(VarCurr!0) <=> v180(constB115)),
% 8.10/6.26 inference(symmetry,[status(thm)],[29613])).
% 8.10/6.26 tff(29615,plain,
% 8.10/6.26 (v180(constB115)),
% 8.10/6.26 inference(modus_ponens,[status(thm)],[59, 29614])).
% 8.10/6.26 tff(29616,plain,
% 8.10/6.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB114, constB115)) | (v180(constB115) <=> v178(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB114, constB115)) | (v180(constB115) <=> v178(constB114)))),
% 8.10/6.26 inference(rewrite,[status(thm)],[])).
% 8.10/6.26 tff(29617,plain,
% 8.10/6.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB114, constB115)) | (v180(constB115) <=> v178(constB114)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29618,plain,
% 8.10/6.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB114, constB115)) | (v180(constB115) <=> v178(constB114))),
% 8.10/6.26 inference(modus_ponens,[status(thm)],[29617, 29616])).
% 8.10/6.26 tff(29619,plain,
% 8.10/6.26 (v180(constB115) <=> v178(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29618, 14697, 70])).
% 8.10/6.26 tff(29620,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB114) <=> (v181(constB114) | v185(constB114)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29621,plain,
% 8.10/6.26 (v178(constB114) <=> (v181(constB114) | v185(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29620, 84])).
% 8.10/6.26 tff(29622,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB114) <=> (~((~v186(constB114)) | (~v187(constB114)))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29623,plain,
% 8.10/6.26 (v185(constB114) <=> (~((~v186(constB114)) | (~v187(constB114))))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29622, 96])).
% 8.10/6.26 tff(29624,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB114) <=> (~((~v184(constB114)) | (~v159(constB114)))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29625,plain,
% 8.10/6.26 (v187(constB114) <=> (~((~v184(constB114)) | (~v159(constB114))))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29624, 108])).
% 8.10/6.26 tff(29626,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29627,plain,
% 8.10/6.26 (v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114))))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29626, 120])).
% 8.10/6.26 tff(29628,plain,
% 8.10/6.26 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB114)) <=> v1(constB114))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29629,plain,
% 8.10/6.26 ((~v39(constB114)) <=> v1(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29628, 129])).
% 8.10/6.26 tff(29630,plain,
% 8.10/6.26 ((~((~v39(constB114)) <=> v1(constB114))) | (~v39(constB114)) | (~v1(constB114))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29631,plain,
% 8.10/6.26 ((~((~v39(constB114)) <=> v1(constB114))) | (~v39(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29630, 15893])).
% 8.10/6.26 tff(29632,plain,
% 8.10/6.26 (~v39(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29631, 29629])).
% 8.10/6.26 tff(29633,plain,
% 8.10/6.26 (((~v39(constB114)) | (~v9(constB114))) | v39(constB114)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29634,plain,
% 8.10/6.26 ((~v39(constB114)) | (~v9(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29633, 29632])).
% 8.10/6.26 tff(29635,plain,
% 8.10/6.26 ((~(v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))) | (~v184(constB114)) | (~((~v39(constB114)) | (~v9(constB114))))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29636,plain,
% 8.10/6.26 ((~(v184(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))) | (~v184(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29635, 29634])).
% 8.10/6.26 tff(29637,plain,
% 8.10/6.26 (~v184(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29636, 29627])).
% 8.10/6.26 tff(29638,plain,
% 8.10/6.26 (((~v184(constB114)) | (~v159(constB114))) | v184(constB114)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29639,plain,
% 8.10/6.26 ((~v184(constB114)) | (~v159(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29638, 29637])).
% 8.10/6.26 tff(29640,plain,
% 8.10/6.26 ((~(v187(constB114) <=> (~((~v184(constB114)) | (~v159(constB114)))))) | (~v187(constB114)) | (~((~v184(constB114)) | (~v159(constB114))))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29641,plain,
% 8.10/6.26 ((~(v187(constB114) <=> (~((~v184(constB114)) | (~v159(constB114)))))) | (~v187(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29640, 29639])).
% 8.10/6.26 tff(29642,plain,
% 8.10/6.26 (~v187(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29641, 29625])).
% 8.10/6.26 tff(29643,plain,
% 8.10/6.26 (((~v186(constB114)) | (~v187(constB114))) | v187(constB114)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29644,plain,
% 8.10/6.26 ((~v186(constB114)) | (~v187(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29643, 29642])).
% 8.10/6.26 tff(29645,plain,
% 8.10/6.26 ((~(v185(constB114) <=> (~((~v186(constB114)) | (~v187(constB114)))))) | (~v185(constB114)) | (~((~v186(constB114)) | (~v187(constB114))))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29646,plain,
% 8.10/6.26 (~v185(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29645, 29644, 29623])).
% 8.10/6.26 tff(29647,plain,
% 8.10/6.26 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114))))))),
% 8.10/6.26 inference(rewrite,[status(thm)],[])).
% 8.10/6.26 tff(29648,plain,
% 8.10/6.26 ((v181(constB114) <=> (~((~v182(constB114)) | (~v157(constB114))))) <=> (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114)))))),
% 8.10/6.26 inference(rewrite,[status(thm)],[])).
% 8.10/6.26 tff(29649,plain,
% 8.10/6.26 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v182(constB114)) | (~v157(constB114)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114))))))),
% 8.10/6.26 inference(monotonicity,[status(thm)],[29648])).
% 8.10/6.26 tff(29650,plain,
% 8.10/6.26 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v182(constB114)) | (~v157(constB114)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114))))))),
% 8.10/6.26 inference(transitivity,[status(thm)],[29649, 29647])).
% 8.10/6.26 tff(29651,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v182(constB114)) | (~v157(constB114)))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29652,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114)))))),
% 8.10/6.26 inference(modus_ponens,[status(thm)],[29651, 29650])).
% 8.10/6.26 tff(29653,plain,
% 8.10/6.26 (v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114))))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29652, 161])).
% 8.10/6.26 tff(29654,plain,
% 8.10/6.26 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB114) <=> v180(constB114))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29655,plain,
% 8.10/6.26 (v157(constB114) <=> v180(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29654, 13])).
% 8.10/6.26 tff(29656,plain,
% 8.10/6.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB113, constB114)) | (v180(constB114) <=> v178(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB113, constB114)) | (v180(constB114) <=> v178(constB113)))),
% 8.10/6.26 inference(rewrite,[status(thm)],[])).
% 8.10/6.26 tff(29657,plain,
% 8.10/6.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB113, constB114)) | (v180(constB114) <=> v178(constB113)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29658,plain,
% 8.10/6.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB113, constB114)) | (v180(constB114) <=> v178(constB113))),
% 8.10/6.26 inference(modus_ponens,[status(thm)],[29657, 29656])).
% 8.10/6.26 tff(29659,plain,
% 8.10/6.26 (v180(constB114) <=> v178(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29658, 14733, 70])).
% 8.10/6.26 tff(29660,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB113) <=> (v181(constB113) | v185(constB113)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29661,plain,
% 8.10/6.26 (v178(constB113) <=> (v181(constB113) | v185(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29660, 84])).
% 8.10/6.26 tff(29662,plain,
% 8.10/6.26 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113))))))),
% 8.10/6.26 inference(rewrite,[status(thm)],[])).
% 8.10/6.26 tff(29663,plain,
% 8.10/6.26 ((v181(constB113) <=> (~((~v182(constB113)) | (~v157(constB113))))) <=> (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113)))))),
% 8.10/6.26 inference(rewrite,[status(thm)],[])).
% 8.10/6.26 tff(29664,plain,
% 8.10/6.26 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v182(constB113)) | (~v157(constB113)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113))))))),
% 8.10/6.26 inference(monotonicity,[status(thm)],[29663])).
% 8.10/6.26 tff(29665,plain,
% 8.10/6.26 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v182(constB113)) | (~v157(constB113)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113))))))),
% 8.10/6.26 inference(transitivity,[status(thm)],[29664, 29662])).
% 8.10/6.26 tff(29666,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v182(constB113)) | (~v157(constB113)))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29667,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113)))))),
% 8.10/6.26 inference(modus_ponens,[status(thm)],[29666, 29665])).
% 8.10/6.26 tff(29668,plain,
% 8.10/6.26 (v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113))))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29667, 161])).
% 8.10/6.26 tff(29669,plain,
% 8.10/6.26 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB113)) <=> v183(constB113))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29670,plain,
% 8.10/6.26 ((~v182(constB113)) <=> v183(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29669, 193])).
% 8.10/6.26 tff(29671,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB113) <=> (v184(constB113) | v26(constB113)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29672,plain,
% 8.10/6.26 (v183(constB113) <=> (v184(constB113) | v26(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29671, 202])).
% 8.10/6.26 tff(29673,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB113) <=> (~((~v39(constB113)) | (~v9(constB113)))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29674,plain,
% 8.10/6.26 (v184(constB113) <=> (~((~v39(constB113)) | (~v9(constB113))))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29673, 120])).
% 8.10/6.26 tff(29675,plain,
% 8.10/6.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113)))),
% 8.10/6.26 inference(rewrite,[status(thm)],[])).
% 8.10/6.26 tff(29676,plain,
% 8.10/6.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29677,plain,
% 8.10/6.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113))),
% 8.10/6.26 inference(modus_ponens,[status(thm)],[29676, 29675])).
% 8.10/6.26 tff(29678,plain,
% 8.10/6.26 (v13(constB114) <=> v9(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29677, 14733, 216])).
% 8.10/6.26 tff(29679,plain,
% 8.10/6.26 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB114) <=> v13(constB114))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29680,plain,
% 8.10/6.26 (v6(constB114) <=> v13(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29679, 230])).
% 8.10/6.26 tff(29681,plain,
% 8.10/6.26 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB114)) <=> v6(constB114))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29682,plain,
% 8.10/6.26 ((~v21(constB114)) <=> v6(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29681, 239])).
% 8.10/6.26 tff(29683,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB114) <=> (v20(constB114) | v21(constB114)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29684,plain,
% 8.10/6.26 (v19(constB114) <=> (v20(constB114) | v21(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29683, 248])).
% 8.10/6.26 tff(29685,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114)))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29686,plain,
% 8.10/6.26 (v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114))))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29685, 260])).
% 8.10/6.26 tff(29687,plain,
% 8.10/6.26 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB114)) <=> v18(constB114))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29688,plain,
% 8.10/6.26 ((~v4(constB114)) <=> v18(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29687, 269])).
% 8.10/6.26 tff(29689,plain,
% 8.10/6.26 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB114)),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29690,plain,
% 8.10/6.26 (v4(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29689, 278])).
% 8.10/6.26 tff(29691,plain,
% 8.10/6.26 ((~((~v4(constB114)) <=> v18(constB114))) | (~v4(constB114)) | (~v18(constB114))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29692,plain,
% 8.10/6.26 (~v18(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29691, 29690, 29688])).
% 8.10/6.26 tff(29693,plain,
% 8.10/6.26 ((~(v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114)))))) | v18(constB114) | ((~v19(constB114)) | (~v22(constB114)))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29694,plain,
% 8.10/6.26 ((~v19(constB114)) | (~v22(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29693, 29692, 29686])).
% 8.10/6.26 tff(29695,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB114) <=> (v1(constB114) | v6(constB114)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29696,plain,
% 8.10/6.26 (v22(constB114) <=> (v1(constB114) | v6(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29695, 291])).
% 8.10/6.26 tff(29697,plain,
% 8.10/6.26 ((v1(constB114) | v6(constB114)) | (~v1(constB114))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29698,plain,
% 8.10/6.26 (v1(constB114) | v6(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29697, 15893])).
% 8.10/6.26 tff(29699,plain,
% 8.10/6.26 ((~(v22(constB114) <=> (v1(constB114) | v6(constB114)))) | v22(constB114) | (~(v1(constB114) | v6(constB114)))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29700,plain,
% 8.10/6.26 ((~(v22(constB114) <=> (v1(constB114) | v6(constB114)))) | v22(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29699, 29698])).
% 8.10/6.26 tff(29701,plain,
% 8.10/6.26 (v22(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29700, 29696])).
% 8.10/6.26 tff(29702,plain,
% 8.10/6.26 ((~((~v19(constB114)) | (~v22(constB114)))) | (~v19(constB114)) | (~v22(constB114))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29703,plain,
% 8.10/6.26 ((~((~v19(constB114)) | (~v22(constB114)))) | (~v19(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29702, 29701])).
% 8.10/6.26 tff(29704,plain,
% 8.10/6.26 (~v19(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29703, 29694])).
% 8.10/6.26 tff(29705,plain,
% 8.10/6.26 ((~(v19(constB114) <=> (v20(constB114) | v21(constB114)))) | v19(constB114) | (~(v20(constB114) | v21(constB114)))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29706,plain,
% 8.10/6.26 (~(v20(constB114) | v21(constB114))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29705, 29704, 29684])).
% 8.10/6.26 tff(29707,plain,
% 8.10/6.26 ((v20(constB114) | v21(constB114)) | (~v21(constB114))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29708,plain,
% 8.10/6.26 (~v21(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29707, 29706])).
% 8.10/6.26 tff(29709,plain,
% 8.10/6.26 ((~((~v21(constB114)) <=> v6(constB114))) | v21(constB114) | v6(constB114)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29710,plain,
% 8.10/6.26 (v6(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29709, 29708, 29682])).
% 8.10/6.26 tff(29711,plain,
% 8.10/6.26 ((~(v6(constB114) <=> v13(constB114))) | (~v6(constB114)) | v13(constB114)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29712,plain,
% 8.10/6.26 (v13(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29711, 29710, 29680])).
% 8.10/6.26 tff(29713,plain,
% 8.10/6.26 ((~(v13(constB114) <=> v9(constB113))) | (~v13(constB114)) | v9(constB113)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29714,plain,
% 8.10/6.26 (v9(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29713, 29712, 29678])).
% 8.10/6.26 tff(29715,plain,
% 8.10/6.26 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB113)) <=> v1(constB113))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29716,plain,
% 8.10/6.26 ((~v39(constB113)) <=> v1(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29715, 129])).
% 8.10/6.26 tff(29717,plain,
% 8.10/6.26 ((~((~v39(constB113)) <=> v1(constB113))) | v39(constB113) | v1(constB113)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29718,plain,
% 8.10/6.26 ((~((~v39(constB113)) <=> v1(constB113))) | v39(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29717, 14777])).
% 8.10/6.26 tff(29719,plain,
% 8.10/6.26 (v39(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29718, 29716])).
% 8.10/6.26 tff(29720,plain,
% 8.10/6.26 ((~((~v39(constB113)) | (~v9(constB113)))) | (~v39(constB113)) | (~v9(constB113))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29721,plain,
% 8.10/6.26 ((~((~v39(constB113)) | (~v9(constB113)))) | (~v9(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29720, 29719])).
% 8.10/6.26 tff(29722,plain,
% 8.10/6.26 (~((~v39(constB113)) | (~v9(constB113)))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29721, 29714])).
% 8.10/6.26 tff(29723,plain,
% 8.10/6.26 ((~(v184(constB113) <=> (~((~v39(constB113)) | (~v9(constB113)))))) | v184(constB113) | ((~v39(constB113)) | (~v9(constB113)))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29724,plain,
% 8.10/6.26 (v184(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29723, 29722, 29674])).
% 8.10/6.26 tff(29725,plain,
% 8.10/6.26 ((v184(constB113) | v26(constB113)) | (~v184(constB113))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29726,plain,
% 8.10/6.26 (v184(constB113) | v26(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29725, 29724])).
% 8.10/6.26 tff(29727,plain,
% 8.10/6.26 ((~(v183(constB113) <=> (v184(constB113) | v26(constB113)))) | v183(constB113) | (~(v184(constB113) | v26(constB113)))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29728,plain,
% 8.10/6.26 (v183(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29727, 29726, 29672])).
% 8.10/6.26 tff(29729,plain,
% 8.10/6.26 ((~((~v182(constB113)) <=> v183(constB113))) | (~v182(constB113)) | (~v183(constB113))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29730,plain,
% 8.10/6.26 (~v182(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29729, 29728, 29670])).
% 8.10/6.26 tff(29731,plain,
% 8.10/6.26 (((~v157(constB113)) | (~v182(constB113))) | v182(constB113)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29732,plain,
% 8.10/6.26 ((~v157(constB113)) | (~v182(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29731, 29730])).
% 8.10/6.26 tff(29733,plain,
% 8.10/6.26 ((~(v181(constB113) <=> (~((~v157(constB113)) | (~v182(constB113)))))) | (~v181(constB113)) | (~((~v157(constB113)) | (~v182(constB113))))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29734,plain,
% 8.10/6.26 (~v181(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29733, 29732, 29668])).
% 8.10/6.26 tff(29735,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB113) <=> (~((~v186(constB113)) | (~v187(constB113)))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29736,plain,
% 8.10/6.26 (v185(constB113) <=> (~((~v186(constB113)) | (~v187(constB113))))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29735, 96])).
% 8.10/6.26 tff(29737,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB113) <=> (~((~v184(constB113)) | (~v159(constB113)))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29738,plain,
% 8.10/6.26 (v187(constB113) <=> (~((~v184(constB113)) | (~v159(constB113))))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29737, 108])).
% 8.10/6.26 tff(29739,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB113) <=> v161(constB113))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29740,plain,
% 8.10/6.26 (v159(constB113) <=> v161(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29739, 345])).
% 8.10/6.26 tff(29741,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB113) <=> (v145(constB113) | v165(constB113)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29742,plain,
% 8.10/6.26 (v164(constB113) <=> (v145(constB113) | v165(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29741, 357])).
% 8.10/6.26 tff(29743,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB113) <=> (v142(constB113) | v166(constB113)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29744,plain,
% 8.10/6.26 (v165(constB113) <=> (v142(constB113) | v166(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29743, 369])).
% 8.10/6.26 tff(29745,plain,
% 8.10/6.26 ((v142(constB113) | v166(constB113)) | (~v142(constB113))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29746,plain,
% 8.10/6.26 (v142(constB113) | v166(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29745, 28949])).
% 8.10/6.26 tff(29747,plain,
% 8.10/6.26 ((~(v165(constB113) <=> (v142(constB113) | v166(constB113)))) | v165(constB113) | (~(v142(constB113) | v166(constB113)))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29748,plain,
% 8.10/6.26 ((~(v165(constB113) <=> (v142(constB113) | v166(constB113)))) | v165(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29747, 29746])).
% 8.10/6.26 tff(29749,plain,
% 8.10/6.26 (v165(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29748, 29744])).
% 8.10/6.26 tff(29750,plain,
% 8.10/6.26 ((v145(constB113) | v165(constB113)) | (~v165(constB113))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29751,plain,
% 8.10/6.26 (v145(constB113) | v165(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29750, 29749])).
% 8.10/6.26 tff(29752,plain,
% 8.10/6.26 ((~(v164(constB113) <=> (v145(constB113) | v165(constB113)))) | v164(constB113) | (~(v145(constB113) | v165(constB113)))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29753,plain,
% 8.10/6.26 (v164(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29752, 29751, 29742])).
% 8.10/6.26 tff(29754,plain,
% 8.10/6.26 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB113)) | (v161(constB113) <=> v168(constB113)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB113)) | (v161(constB113) <=> v168(constB113)))),
% 8.10/6.26 inference(rewrite,[status(thm)],[])).
% 8.10/6.26 tff(29755,plain,
% 8.10/6.26 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB113)) | (v161(constB113) <=> v168(constB113)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29756,plain,
% 8.10/6.26 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB113)) | (v161(constB113) <=> v168(constB113))),
% 8.10/6.26 inference(modus_ponens,[status(thm)],[29755, 29754])).
% 8.10/6.26 tff(29757,plain,
% 8.10/6.26 ((~v164(constB113)) | (v161(constB113) <=> v168(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29756, 12128])).
% 8.10/6.26 tff(29758,plain,
% 8.10/6.26 (v161(constB113) <=> v168(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29757, 29753])).
% 8.10/6.26 tff(29759,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29760,plain,
% 8.10/6.26 (v139(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29759, 12146])).
% 8.10/6.26 tff(29761,plain,
% 8.10/6.26 ((v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)) | (~v88(constB113, bitIndex1))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29762,plain,
% 8.10/6.26 (v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29761, 28941])).
% 8.10/6.26 tff(29763,plain,
% 8.10/6.26 ((~(v139(constB113) <=> (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2))))) | (~v139(constB113)) | (~(v88(constB113, bitIndex0) | v88(constB113, bitIndex1) | v88(constB113, bitIndex2)))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29764,plain,
% 8.10/6.26 (~v139(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29763, 29762, 29760])).
% 8.10/6.26 tff(29765,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB113) <=> (~(v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0)))))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29766,plain,
% 8.10/6.26 (v140(constB113) <=> (~(v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0))))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29765, 12165])).
% 8.10/6.26 tff(29767,plain,
% 8.10/6.26 ((v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0))) | (~v88(constB113, bitIndex1))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29768,plain,
% 8.10/6.26 (v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29767, 28941])).
% 8.10/6.26 tff(29769,plain,
% 8.10/6.26 ((~(v140(constB113) <=> (~(v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0)))))) | (~v140(constB113)) | (~(v88(constB113, bitIndex1) | v88(constB113, bitIndex2) | (~v88(constB113, bitIndex0))))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29770,plain,
% 8.10/6.26 (~v140(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29769, 29768, 29766])).
% 8.10/6.26 tff(29771,plain,
% 8.10/6.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v168(constB113)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB113) | v140(constB113) | (~v168(constB113)))),
% 8.10/6.26 inference(rewrite,[status(thm)],[])).
% 8.10/6.26 tff(29772,plain,
% 8.10/6.26 ((v140(constB113) | v139(constB113) | (~v168(constB113))) <=> (v139(constB113) | v140(constB113) | (~v168(constB113)))),
% 8.10/6.26 inference(rewrite,[status(thm)],[])).
% 8.10/6.26 tff(29773,plain,
% 8.10/6.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB113) | v139(constB113) | (~v168(constB113)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB113) | v140(constB113) | (~v168(constB113))))),
% 8.10/6.26 inference(monotonicity,[status(thm)],[29772])).
% 8.10/6.26 tff(29774,plain,
% 8.10/6.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB113) | v139(constB113) | (~v168(constB113)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB113) | v140(constB113) | (~v168(constB113)))),
% 8.10/6.26 inference(transitivity,[status(thm)],[29773, 29771])).
% 8.10/6.26 tff(29775,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB113) | v139(constB113) | (~v168(constB113)))),
% 8.10/6.26 inference(quant_inst,[status(thm)],[])).
% 8.10/6.26 tff(29776,plain,
% 8.10/6.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB113) | v140(constB113) | (~v168(constB113))),
% 8.10/6.26 inference(modus_ponens,[status(thm)],[29775, 29774])).
% 8.10/6.26 tff(29777,plain,
% 8.10/6.26 (v139(constB113) | v140(constB113) | (~v168(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29776, 12184])).
% 8.10/6.26 tff(29778,plain,
% 8.10/6.26 (~v168(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29777, 29770, 29764])).
% 8.10/6.26 tff(29779,plain,
% 8.10/6.26 ((~(v161(constB113) <=> v168(constB113))) | (~v161(constB113)) | v168(constB113)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29780,plain,
% 8.10/6.26 ((~(v161(constB113) <=> v168(constB113))) | (~v161(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29779, 29778])).
% 8.10/6.26 tff(29781,plain,
% 8.10/6.26 (~v161(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29780, 29758])).
% 8.10/6.26 tff(29782,plain,
% 8.10/6.26 ((~(v159(constB113) <=> v161(constB113))) | (~v159(constB113)) | v161(constB113)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29783,plain,
% 8.10/6.26 ((~(v159(constB113) <=> v161(constB113))) | (~v159(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29782, 29781])).
% 8.10/6.26 tff(29784,plain,
% 8.10/6.26 (~v159(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29783, 29740])).
% 8.10/6.26 tff(29785,plain,
% 8.10/6.26 (((~v184(constB113)) | (~v159(constB113))) | v159(constB113)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29786,plain,
% 8.10/6.26 ((~v184(constB113)) | (~v159(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29785, 29784])).
% 8.10/6.26 tff(29787,plain,
% 8.10/6.26 ((~(v187(constB113) <=> (~((~v184(constB113)) | (~v159(constB113)))))) | (~v187(constB113)) | (~((~v184(constB113)) | (~v159(constB113))))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29788,plain,
% 8.10/6.26 (~v187(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29787, 29786, 29738])).
% 8.10/6.26 tff(29789,plain,
% 8.10/6.26 (((~v186(constB113)) | (~v187(constB113))) | v187(constB113)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29790,plain,
% 8.10/6.26 ((~v186(constB113)) | (~v187(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29789, 29788])).
% 8.10/6.26 tff(29791,plain,
% 8.10/6.26 ((~(v185(constB113) <=> (~((~v186(constB113)) | (~v187(constB113)))))) | (~v185(constB113)) | (~((~v186(constB113)) | (~v187(constB113))))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29792,plain,
% 8.10/6.26 (~v185(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29791, 29790, 29736])).
% 8.10/6.26 tff(29793,plain,
% 8.10/6.26 ((~(v181(constB113) | v185(constB113))) | v181(constB113) | v185(constB113)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29794,plain,
% 8.10/6.26 (~(v181(constB113) | v185(constB113))),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29793, 29792, 29734])).
% 8.10/6.26 tff(29795,plain,
% 8.10/6.26 ((~(v178(constB113) <=> (v181(constB113) | v185(constB113)))) | (~v178(constB113)) | (v181(constB113) | v185(constB113))),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29796,plain,
% 8.10/6.26 (~v178(constB113)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29795, 29794, 29661])).
% 8.10/6.26 tff(29797,plain,
% 8.10/6.26 ((~(v180(constB114) <=> v178(constB113))) | (~v180(constB114)) | v178(constB113)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29798,plain,
% 8.10/6.26 (~v180(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29797, 29796, 29659])).
% 8.10/6.26 tff(29799,plain,
% 8.10/6.26 ((~(v157(constB114) <=> v180(constB114))) | (~v157(constB114)) | v180(constB114)),
% 8.10/6.26 inference(tautology,[status(thm)],[])).
% 8.10/6.26 tff(29800,plain,
% 8.10/6.26 (~v157(constB114)),
% 8.10/6.26 inference(unit_resolution,[status(thm)],[29799, 29798, 29655])).
% 8.10/6.27 tff(29801,plain,
% 8.10/6.27 (((~v157(constB114)) | (~v182(constB114))) | v157(constB114)),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29802,plain,
% 8.10/6.27 ((~v157(constB114)) | (~v182(constB114))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29801, 29800])).
% 8.10/6.27 tff(29803,plain,
% 8.10/6.27 ((~(v181(constB114) <=> (~((~v157(constB114)) | (~v182(constB114)))))) | (~v181(constB114)) | (~((~v157(constB114)) | (~v182(constB114))))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29804,plain,
% 8.10/6.27 (~v181(constB114)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29803, 29802, 29653])).
% 8.10/6.27 tff(29805,plain,
% 8.10/6.27 ((~(v181(constB114) | v185(constB114))) | v181(constB114) | v185(constB114)),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29806,plain,
% 8.10/6.27 (~(v181(constB114) | v185(constB114))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29805, 29804, 29646])).
% 8.10/6.27 tff(29807,plain,
% 8.10/6.27 ((~(v178(constB114) <=> (v181(constB114) | v185(constB114)))) | (~v178(constB114)) | (v181(constB114) | v185(constB114))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29808,plain,
% 8.10/6.27 (~v178(constB114)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29807, 29806, 29621])).
% 8.10/6.27 tff(29809,plain,
% 8.10/6.27 ((~(v180(constB115) <=> v178(constB114))) | (~v180(constB115)) | v178(constB114)),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29810,plain,
% 8.10/6.27 (~v180(constB115)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29809, 29808, 29619])).
% 8.10/6.27 tff(29811,plain,
% 8.10/6.27 ($false),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29810, 29615])).
% 8.10/6.27 tff(29812,plain,(~(constB115 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.27 tff(29813,assumption,(constB85 = VarCurr!0), introduced(assumption)).
% 8.10/6.27 tff(29814,plain,
% 8.10/6.27 (v86(constB85) <=> v86(VarCurr!0)),
% 8.10/6.27 inference(monotonicity,[status(thm)],[29813])).
% 8.10/6.27 tff(29815,plain,
% 8.10/6.27 (v86(VarCurr!0) <=> v86(constB85)),
% 8.10/6.27 inference(symmetry,[status(thm)],[29814])).
% 8.10/6.27 tff(29816,plain,
% 8.10/6.27 ((~v86(VarCurr!0)) <=> (~v86(constB85))),
% 8.10/6.27 inference(monotonicity,[status(thm)],[29815])).
% 8.10/6.27 tff(29817,plain,
% 8.10/6.27 (~v86(constB85)),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[21766, 29816])).
% 8.10/6.27 tff(29818,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB85) <=> (v136(constB85) | v145(constB85)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29819,plain,
% 8.10/6.27 (v135(constB85) <=> (v136(constB85) | v145(constB85))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29818, 21774])).
% 8.10/6.27 tff(29820,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB85) <=> (v137(constB85) | v142(constB85)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29821,plain,
% 8.10/6.27 (v136(constB85) <=> (v137(constB85) | v142(constB85))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29820, 21783])).
% 8.10/6.27 tff(29822,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB85) <=> (v143(constB85) | v144(constB85)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29823,plain,
% 8.10/6.27 (v142(constB85) <=> (v143(constB85) | v144(constB85))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29822, 21792])).
% 8.10/6.27 tff(29824,plain,
% 8.10/6.27 (((~![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)))))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29825,plain,
% 8.10/6.27 ((v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2))))) <=> (v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29826,plain,
% 8.10/6.27 (((~![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)))))),
% 8.10/6.27 inference(monotonicity,[status(thm)],[29825])).
% 8.10/6.27 tff(29827,plain,
% 8.10/6.27 (((~![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)))))),
% 8.10/6.27 inference(transitivity,[status(thm)],[29826, 29824])).
% 8.10/6.27 tff(29828,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~(v88(constB85, bitIndex0) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)))))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29829,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))))),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[29828, 29827])).
% 8.10/6.27 tff(29830,plain,
% 8.10/6.27 (v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0)))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29829, 21807])).
% 8.10/6.27 tff(29831,plain,
% 8.10/6.27 ((~![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))))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29832,plain,
% 8.10/6.27 (~(((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)) | ((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)) | ((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0)))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29831, 416])).
% 8.10/6.27 tff(29833,plain,
% 8.10/6.27 ((((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)) | ((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)) | ((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0))) | (~((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29834,plain,
% 8.10/6.27 (~((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29833, 29832])).
% 8.10/6.27 tff(29835,plain,
% 8.10/6.27 (((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)) | v88(constB85, bitIndex2) | (~v90(constB85, bitIndex2))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29836,plain,
% 8.10/6.27 (v88(constB85, bitIndex2)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29835, 10608, 29834])).
% 8.10/6.27 tff(29837,plain,
% 8.10/6.27 ((((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)) | ((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)) | ((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0))) | (~((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29838,plain,
% 8.10/6.27 (~((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29837, 29832])).
% 8.10/6.27 tff(29839,plain,
% 8.10/6.27 (((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0)) | (~v88(constB85, bitIndex0)) | v90(constB85, bitIndex0)),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29840,plain,
% 8.10/6.27 (~v88(constB85, bitIndex0)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29839, 10759, 29838])).
% 8.10/6.27 tff(29841,plain,
% 8.10/6.27 ((((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)) | ((~v88(constB85, bitIndex2)) <=> v90(constB85, bitIndex2)) | ((~v88(constB85, bitIndex0)) <=> v90(constB85, bitIndex0))) | (~((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29842,plain,
% 8.10/6.27 (~((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29841, 29832])).
% 8.10/6.27 tff(29843,plain,
% 8.10/6.27 (((~v88(constB85, bitIndex1)) <=> v90(constB85, bitIndex1)) | v88(constB85, bitIndex1) | (~v90(constB85, bitIndex1))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29844,plain,
% 8.10/6.27 (v88(constB85, bitIndex1)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29843, 10637, 29842])).
% 8.10/6.27 tff(29845,plain,
% 8.10/6.27 ((~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))) | (~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0)),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29846,plain,
% 8.10/6.27 (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29845, 29844, 29840, 29836])).
% 8.10/6.27 tff(29847,plain,
% 8.10/6.27 ((~(v144(constB85) <=> (~((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))))) | v144(constB85) | ((~v88(constB85, bitIndex1)) | (~v88(constB85, bitIndex2)) | v88(constB85, bitIndex0))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29848,plain,
% 8.10/6.27 (v144(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29847, 29846, 29830])).
% 8.10/6.27 tff(29849,plain,
% 8.10/6.27 ((v143(constB85) | v144(constB85)) | (~v144(constB85))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29850,plain,
% 8.10/6.27 (v143(constB85) | v144(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29849, 29848])).
% 8.10/6.27 tff(29851,plain,
% 8.10/6.27 ((~(v142(constB85) <=> (v143(constB85) | v144(constB85)))) | v142(constB85) | (~(v143(constB85) | v144(constB85)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29852,plain,
% 8.10/6.27 (v142(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29851, 29850, 29823])).
% 8.10/6.27 tff(29853,plain,
% 8.10/6.27 ((v137(constB85) | v142(constB85)) | (~v142(constB85))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29854,plain,
% 8.10/6.27 (v137(constB85) | v142(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29853, 29852])).
% 8.10/6.27 tff(29855,plain,
% 8.10/6.27 ((~(v136(constB85) <=> (v137(constB85) | v142(constB85)))) | v136(constB85) | (~(v137(constB85) | v142(constB85)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29856,plain,
% 8.10/6.27 ((~(v136(constB85) <=> (v137(constB85) | v142(constB85)))) | v136(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29855, 29854])).
% 8.10/6.27 tff(29857,plain,
% 8.10/6.27 (v136(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29856, 29821])).
% 8.10/6.27 tff(29858,plain,
% 8.10/6.27 ((v136(constB85) | v145(constB85)) | (~v136(constB85))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29859,plain,
% 8.10/6.27 (v136(constB85) | v145(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29858, 29857])).
% 8.10/6.27 tff(29860,plain,
% 8.10/6.27 ((~(v135(constB85) <=> (v136(constB85) | v145(constB85)))) | v135(constB85) | (~(v136(constB85) | v145(constB85)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29861,plain,
% 8.10/6.27 (v135(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29860, 29859, 29819])).
% 8.10/6.27 tff(29862,plain,
% 8.10/6.27 (((~![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)))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29863,plain,
% 8.10/6.27 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB85)) | (v86(constB85) <=> v148(constB85)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29864,plain,
% 8.10/6.27 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB85)) | (v86(constB85) <=> v148(constB85))),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[29863, 29862])).
% 8.10/6.27 tff(29865,plain,
% 8.10/6.27 (v86(constB85) <=> v148(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29864, 21855, 29861])).
% 8.10/6.27 tff(29866,plain,
% 8.10/6.27 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB85) | (~v142(constB85)))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29867,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB85) | (~v142(constB85)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29868,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB85) | (~v142(constB85))),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[29867, 29866])).
% 8.10/6.27 tff(29869,plain,
% 8.10/6.27 (v148(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29868, 21869, 29852])).
% 8.10/6.27 tff(29870,plain,
% 8.10/6.27 ((~(v86(constB85) <=> v148(constB85))) | v86(constB85) | (~v148(constB85))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29871,plain,
% 8.10/6.27 ((~(v86(constB85) <=> v148(constB85))) | v86(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29870, 29869])).
% 8.10/6.27 tff(29872,plain,
% 8.10/6.27 (v86(constB85)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29871, 29865])).
% 8.10/6.27 tff(29873,plain,
% 8.10/6.27 ($false),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29872, 29817])).
% 8.10/6.27 tff(29874,plain,(~(constB85 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.27 tff(29875,assumption,(constB13 = VarCurr!0), introduced(assumption)).
% 8.10/6.27 tff(29876,plain,
% 8.10/6.27 (v86(constB13) <=> v86(VarCurr!0)),
% 8.10/6.27 inference(monotonicity,[status(thm)],[29875])).
% 8.10/6.27 tff(29877,plain,
% 8.10/6.27 (v86(VarCurr!0) <=> v86(constB13)),
% 8.10/6.27 inference(symmetry,[status(thm)],[29876])).
% 8.10/6.27 tff(29878,plain,
% 8.10/6.27 ((~v86(VarCurr!0)) <=> (~v86(constB13))),
% 8.10/6.27 inference(monotonicity,[status(thm)],[29877])).
% 8.10/6.27 tff(29879,plain,
% 8.10/6.27 (~v86(constB13)),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[21766, 29878])).
% 8.10/6.27 tff(29880,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB13) <=> (v136(constB13) | v145(constB13)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29881,plain,
% 8.10/6.27 (v135(constB13) <=> (v136(constB13) | v145(constB13))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29880, 21774])).
% 8.10/6.27 tff(29882,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB13) <=> (v137(constB13) | v142(constB13)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29883,plain,
% 8.10/6.27 (v136(constB13) <=> (v137(constB13) | v142(constB13))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29882, 21783])).
% 8.10/6.27 tff(29884,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB13) <=> (v143(constB13) | v144(constB13)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29885,plain,
% 8.10/6.27 (v142(constB13) <=> (v143(constB13) | v144(constB13))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29884, 21792])).
% 8.10/6.27 tff(29886,plain,
% 8.10/6.27 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0)))))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29887,plain,
% 8.10/6.27 ((v144(constB13) <=> (~(v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2))))) <=> (v144(constB13) <=> (~((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0))))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29888,plain,
% 8.10/6.27 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~(v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0)))))),
% 8.10/6.27 inference(monotonicity,[status(thm)],[29887])).
% 8.10/6.27 tff(29889,plain,
% 8.10/6.27 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~(v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0)))))),
% 8.10/6.27 inference(transitivity,[status(thm)],[29888, 29886])).
% 8.10/6.27 tff(29890,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~(v88(constB13, bitIndex0) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)))))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29891,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB13) <=> (~((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0))))),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[29890, 29889])).
% 8.10/6.27 tff(29892,plain,
% 8.10/6.27 (v144(constB13) <=> (~((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0)))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29891, 21807])).
% 8.10/6.27 tff(29893,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB13, bitIndex1)) <=> v90(constB13, bitIndex1)) | ((~v88(constB13, bitIndex2)) <=> v90(constB13, bitIndex2)) | ((~v88(constB13, bitIndex0)) <=> v90(constB13, bitIndex0))))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29894,plain,
% 8.10/6.27 (~(((~v88(constB13, bitIndex1)) <=> v90(constB13, bitIndex1)) | ((~v88(constB13, bitIndex2)) <=> v90(constB13, bitIndex2)) | ((~v88(constB13, bitIndex0)) <=> v90(constB13, bitIndex0)))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29893, 416])).
% 8.10/6.27 tff(29895,plain,
% 8.10/6.27 ((((~v88(constB13, bitIndex1)) <=> v90(constB13, bitIndex1)) | ((~v88(constB13, bitIndex2)) <=> v90(constB13, bitIndex2)) | ((~v88(constB13, bitIndex0)) <=> v90(constB13, bitIndex0))) | (~((~v88(constB13, bitIndex2)) <=> v90(constB13, bitIndex2)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29896,plain,
% 8.10/6.27 (~((~v88(constB13, bitIndex2)) <=> v90(constB13, bitIndex2))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29895, 29894])).
% 8.10/6.27 tff(29897,plain,
% 8.10/6.27 (((~v88(constB13, bitIndex2)) <=> v90(constB13, bitIndex2)) | v88(constB13, bitIndex2) | (~v90(constB13, bitIndex2))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29898,plain,
% 8.10/6.27 (v88(constB13, bitIndex2)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29897, 4972, 29896])).
% 8.10/6.27 tff(29899,plain,
% 8.10/6.27 ((((~v88(constB13, bitIndex1)) <=> v90(constB13, bitIndex1)) | ((~v88(constB13, bitIndex2)) <=> v90(constB13, bitIndex2)) | ((~v88(constB13, bitIndex0)) <=> v90(constB13, bitIndex0))) | (~((~v88(constB13, bitIndex0)) <=> v90(constB13, bitIndex0)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29900,plain,
% 8.10/6.27 (~((~v88(constB13, bitIndex0)) <=> v90(constB13, bitIndex0))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29899, 29894])).
% 8.10/6.27 tff(29901,plain,
% 8.10/6.27 (((~v88(constB13, bitIndex0)) <=> v90(constB13, bitIndex0)) | (~v88(constB13, bitIndex0)) | v90(constB13, bitIndex0)),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29902,plain,
% 8.10/6.27 (~v88(constB13, bitIndex0)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29901, 5149, 29900])).
% 8.10/6.27 tff(29903,plain,
% 8.10/6.27 ((((~v88(constB13, bitIndex1)) <=> v90(constB13, bitIndex1)) | ((~v88(constB13, bitIndex2)) <=> v90(constB13, bitIndex2)) | ((~v88(constB13, bitIndex0)) <=> v90(constB13, bitIndex0))) | (~((~v88(constB13, bitIndex1)) <=> v90(constB13, bitIndex1)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29904,plain,
% 8.10/6.27 (~((~v88(constB13, bitIndex1)) <=> v90(constB13, bitIndex1))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29903, 29894])).
% 8.10/6.27 tff(29905,plain,
% 8.10/6.27 (((~v88(constB13, bitIndex1)) <=> v90(constB13, bitIndex1)) | v88(constB13, bitIndex1) | (~v90(constB13, bitIndex1))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29906,plain,
% 8.10/6.27 (v88(constB13, bitIndex1)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29905, 5001, 29904])).
% 8.10/6.27 tff(29907,plain,
% 8.10/6.27 ((~((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0))) | (~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0)),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29908,plain,
% 8.10/6.27 (~((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29907, 29906, 29902, 29898])).
% 8.10/6.27 tff(29909,plain,
% 8.10/6.27 ((~(v144(constB13) <=> (~((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0))))) | v144(constB13) | ((~v88(constB13, bitIndex1)) | (~v88(constB13, bitIndex2)) | v88(constB13, bitIndex0))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29910,plain,
% 8.10/6.27 (v144(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29909, 29908, 29892])).
% 8.10/6.27 tff(29911,plain,
% 8.10/6.27 ((v143(constB13) | v144(constB13)) | (~v144(constB13))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29912,plain,
% 8.10/6.27 (v143(constB13) | v144(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29911, 29910])).
% 8.10/6.27 tff(29913,plain,
% 8.10/6.27 ((~(v142(constB13) <=> (v143(constB13) | v144(constB13)))) | v142(constB13) | (~(v143(constB13) | v144(constB13)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29914,plain,
% 8.10/6.27 (v142(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29913, 29912, 29885])).
% 8.10/6.27 tff(29915,plain,
% 8.10/6.27 ((v137(constB13) | v142(constB13)) | (~v142(constB13))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29916,plain,
% 8.10/6.27 (v137(constB13) | v142(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29915, 29914])).
% 8.10/6.27 tff(29917,plain,
% 8.10/6.27 ((~(v136(constB13) <=> (v137(constB13) | v142(constB13)))) | v136(constB13) | (~(v137(constB13) | v142(constB13)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29918,plain,
% 8.10/6.27 ((~(v136(constB13) <=> (v137(constB13) | v142(constB13)))) | v136(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29917, 29916])).
% 8.10/6.27 tff(29919,plain,
% 8.10/6.27 (v136(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29918, 29883])).
% 8.10/6.27 tff(29920,plain,
% 8.10/6.27 ((v136(constB13) | v145(constB13)) | (~v136(constB13))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29921,plain,
% 8.10/6.27 (v136(constB13) | v145(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29920, 29919])).
% 8.10/6.27 tff(29922,plain,
% 8.10/6.27 ((~(v135(constB13) <=> (v136(constB13) | v145(constB13)))) | v135(constB13) | (~(v136(constB13) | v145(constB13)))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29923,plain,
% 8.10/6.27 (v135(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29922, 29921, 29881])).
% 8.10/6.27 tff(29924,plain,
% 8.10/6.27 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB13)) | (v86(constB13) <=> v148(constB13)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB13)) | (v86(constB13) <=> v148(constB13)))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29925,plain,
% 8.10/6.27 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB13)) | (v86(constB13) <=> v148(constB13)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29926,plain,
% 8.10/6.27 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB13)) | (v86(constB13) <=> v148(constB13))),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[29925, 29924])).
% 8.10/6.27 tff(29927,plain,
% 8.10/6.27 (v86(constB13) <=> v148(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29926, 21855, 29923])).
% 8.10/6.27 tff(29928,plain,
% 8.10/6.27 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB13) | (~v142(constB13)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB13) | (~v142(constB13)))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29929,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB13) | (~v142(constB13)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29930,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB13) | (~v142(constB13))),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[29929, 29928])).
% 8.10/6.27 tff(29931,plain,
% 8.10/6.27 (v148(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29930, 21869, 29914])).
% 8.10/6.27 tff(29932,plain,
% 8.10/6.27 ((~(v86(constB13) <=> v148(constB13))) | v86(constB13) | (~v148(constB13))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29933,plain,
% 8.10/6.27 ((~(v86(constB13) <=> v148(constB13))) | v86(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29932, 29931])).
% 8.10/6.27 tff(29934,plain,
% 8.10/6.27 (v86(constB13)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29933, 29927])).
% 8.10/6.27 tff(29935,plain,
% 8.10/6.27 ($false),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29934, 29879])).
% 8.10/6.27 tff(29936,plain,(~(constB13 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.27 tff(29937,assumption,(constB57 = VarCurr!0), introduced(assumption)).
% 8.10/6.27 tff(29938,plain,
% 8.10/6.27 (v180(constB57) <=> v180(VarCurr!0)),
% 8.10/6.27 inference(monotonicity,[status(thm)],[29937])).
% 8.10/6.27 tff(29939,plain,
% 8.10/6.27 (v180(VarCurr!0) <=> v180(constB57)),
% 8.10/6.27 inference(symmetry,[status(thm)],[29938])).
% 8.10/6.27 tff(29940,plain,
% 8.10/6.27 (v180(constB57)),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[59, 29939])).
% 8.10/6.27 tff(29941,plain,
% 8.10/6.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB56, constB57)) | (v180(constB57) <=> v178(constB56)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB56, constB57)) | (v180(constB57) <=> v178(constB56)))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29942,plain,
% 8.10/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB56, constB57)) | (v180(constB57) <=> v178(constB56)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29943,plain,
% 8.10/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB56, constB57)) | (v180(constB57) <=> v178(constB56))),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[29942, 29941])).
% 8.10/6.27 tff(29944,plain,
% 8.10/6.27 (v180(constB57) <=> v178(constB56)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29943, 2061, 70])).
% 8.10/6.27 tff(29945,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB56) <=> (v181(constB56) | v185(constB56)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29946,plain,
% 8.10/6.27 (v178(constB56) <=> (v181(constB56) | v185(constB56))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29945, 84])).
% 8.10/6.27 tff(29947,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB56) <=> (~((~v186(constB56)) | (~v187(constB56)))))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29948,plain,
% 8.10/6.27 (v185(constB56) <=> (~((~v186(constB56)) | (~v187(constB56))))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29947, 96])).
% 8.10/6.27 tff(29949,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB56) <=> (~((~v184(constB56)) | (~v159(constB56)))))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29950,plain,
% 8.10/6.27 (v187(constB56) <=> (~((~v184(constB56)) | (~v159(constB56))))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29949, 108])).
% 8.10/6.27 tff(29951,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29952,plain,
% 8.10/6.27 (v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56))))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29951, 120])).
% 8.10/6.27 tff(29953,plain,
% 8.10/6.27 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB56)) <=> v1(constB56))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29954,plain,
% 8.10/6.27 ((~v39(constB56)) <=> v1(constB56)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29953, 129])).
% 8.10/6.27 tff(29955,plain,
% 8.10/6.27 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56)) | (~v1(constB56))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29956,plain,
% 8.10/6.27 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29955, 8393])).
% 8.10/6.27 tff(29957,plain,
% 8.10/6.27 (~v39(constB56)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29956, 29954])).
% 8.10/6.27 tff(29958,plain,
% 8.10/6.27 (((~v39(constB56)) | (~v9(constB56))) | v39(constB56)),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29959,plain,
% 8.10/6.27 ((~v39(constB56)) | (~v9(constB56))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29958, 29957])).
% 8.10/6.27 tff(29960,plain,
% 8.10/6.27 ((~(v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v184(constB56)) | (~((~v39(constB56)) | (~v9(constB56))))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29961,plain,
% 8.10/6.27 ((~(v184(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v184(constB56))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29960, 29959])).
% 8.10/6.27 tff(29962,plain,
% 8.10/6.27 (~v184(constB56)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29961, 29952])).
% 8.10/6.27 tff(29963,plain,
% 8.10/6.27 (((~v184(constB56)) | (~v159(constB56))) | v184(constB56)),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29964,plain,
% 8.10/6.27 ((~v184(constB56)) | (~v159(constB56))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29963, 29962])).
% 8.10/6.27 tff(29965,plain,
% 8.10/6.27 ((~(v187(constB56) <=> (~((~v184(constB56)) | (~v159(constB56)))))) | (~v187(constB56)) | (~((~v184(constB56)) | (~v159(constB56))))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29966,plain,
% 8.10/6.27 ((~(v187(constB56) <=> (~((~v184(constB56)) | (~v159(constB56)))))) | (~v187(constB56))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29965, 29964])).
% 8.10/6.27 tff(29967,plain,
% 8.10/6.27 (~v187(constB56)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29966, 29950])).
% 8.10/6.27 tff(29968,plain,
% 8.10/6.27 (((~v186(constB56)) | (~v187(constB56))) | v187(constB56)),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29969,plain,
% 8.10/6.27 ((~v186(constB56)) | (~v187(constB56))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29968, 29967])).
% 8.10/6.27 tff(29970,plain,
% 8.10/6.27 ((~(v185(constB56) <=> (~((~v186(constB56)) | (~v187(constB56)))))) | (~v185(constB56)) | (~((~v186(constB56)) | (~v187(constB56))))),
% 8.10/6.27 inference(tautology,[status(thm)],[])).
% 8.10/6.27 tff(29971,plain,
% 8.10/6.27 (~v185(constB56)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29970, 29969, 29948])).
% 8.10/6.27 tff(29972,plain,
% 8.10/6.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56))))))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29973,plain,
% 8.10/6.27 ((v181(constB56) <=> (~((~v182(constB56)) | (~v157(constB56))))) <=> (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56)))))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29974,plain,
% 8.10/6.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v182(constB56)) | (~v157(constB56)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56))))))),
% 8.10/6.27 inference(monotonicity,[status(thm)],[29973])).
% 8.10/6.27 tff(29975,plain,
% 8.10/6.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v182(constB56)) | (~v157(constB56)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56))))))),
% 8.10/6.27 inference(transitivity,[status(thm)],[29974, 29972])).
% 8.10/6.27 tff(29976,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v182(constB56)) | (~v157(constB56)))))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29977,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56)))))),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[29976, 29975])).
% 8.10/6.27 tff(29978,plain,
% 8.10/6.27 (v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56))))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29977, 161])).
% 8.10/6.27 tff(29979,plain,
% 8.10/6.27 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB56) <=> v180(constB56))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29980,plain,
% 8.10/6.27 (v157(constB56) <=> v180(constB56)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29979, 13])).
% 8.10/6.27 tff(29981,plain,
% 8.10/6.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB55, constB56)) | (v180(constB56) <=> v178(constB55)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB55, constB56)) | (v180(constB56) <=> v178(constB55)))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29982,plain,
% 8.10/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB55, constB56)) | (v180(constB56) <=> v178(constB55)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29983,plain,
% 8.10/6.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB55, constB56)) | (v180(constB56) <=> v178(constB55))),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[29982, 29981])).
% 8.10/6.27 tff(29984,plain,
% 8.10/6.27 (v180(constB56) <=> v178(constB55)),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29983, 2097, 70])).
% 8.10/6.27 tff(29985,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB55) <=> (v181(constB55) | v185(constB55)))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29986,plain,
% 8.10/6.27 (v178(constB55) <=> (v181(constB55) | v185(constB55))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29985, 84])).
% 8.10/6.27 tff(29987,plain,
% 8.10/6.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55))))))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29988,plain,
% 8.10/6.27 ((v181(constB55) <=> (~((~v182(constB55)) | (~v157(constB55))))) <=> (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55)))))),
% 8.10/6.27 inference(rewrite,[status(thm)],[])).
% 8.10/6.27 tff(29989,plain,
% 8.10/6.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v182(constB55)) | (~v157(constB55)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55))))))),
% 8.10/6.27 inference(monotonicity,[status(thm)],[29988])).
% 8.10/6.27 tff(29990,plain,
% 8.10/6.27 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v182(constB55)) | (~v157(constB55)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55))))))),
% 8.10/6.27 inference(transitivity,[status(thm)],[29989, 29987])).
% 8.10/6.27 tff(29991,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v182(constB55)) | (~v157(constB55)))))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.27 tff(29992,plain,
% 8.10/6.27 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55)))))),
% 8.10/6.27 inference(modus_ponens,[status(thm)],[29991, 29990])).
% 8.10/6.27 tff(29993,plain,
% 8.10/6.27 (v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55))))),
% 8.10/6.27 inference(unit_resolution,[status(thm)],[29992, 161])).
% 8.10/6.27 tff(29994,plain,
% 8.10/6.27 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB55)) <=> v183(constB55))),
% 8.10/6.27 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(29995,plain,
% 8.10/6.28 ((~v182(constB55)) <=> v183(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[29994, 193])).
% 8.10/6.28 tff(29996,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB55) <=> (v184(constB55) | v26(constB55)))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(29997,plain,
% 8.10/6.28 (v183(constB55) <=> (v184(constB55) | v26(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[29996, 202])).
% 8.10/6.28 tff(29998,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(29999,plain,
% 8.10/6.28 (v184(constB55) <=> (~((~v39(constB55)) | (~v9(constB55))))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[29998, 120])).
% 8.10/6.28 tff(30000,plain,
% 8.10/6.28 (((~![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)))),
% 8.10/6.28 inference(rewrite,[status(thm)],[])).
% 8.10/6.28 tff(30001,plain,
% 8.10/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30002,plain,
% 8.10/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55))),
% 8.10/6.28 inference(modus_ponens,[status(thm)],[30001, 30000])).
% 8.10/6.28 tff(30003,plain,
% 8.10/6.28 (v13(constB56) <=> v9(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30002, 2097, 216])).
% 8.10/6.28 tff(30004,plain,
% 8.10/6.28 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB56) <=> v13(constB56))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30005,plain,
% 8.10/6.28 (v6(constB56) <=> v13(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30004, 230])).
% 8.10/6.28 tff(30006,plain,
% 8.10/6.28 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB56)) <=> v6(constB56))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30007,plain,
% 8.10/6.28 ((~v21(constB56)) <=> v6(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30006, 239])).
% 8.10/6.28 tff(30008,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB56) <=> (v20(constB56) | v21(constB56)))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30009,plain,
% 8.10/6.28 (v19(constB56) <=> (v20(constB56) | v21(constB56))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30008, 248])).
% 8.10/6.28 tff(30010,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30011,plain,
% 8.10/6.28 (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56))))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30010, 260])).
% 8.10/6.28 tff(30012,plain,
% 8.10/6.28 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB56)) <=> v18(constB56))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30013,plain,
% 8.10/6.28 ((~v4(constB56)) <=> v18(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30012, 269])).
% 8.10/6.28 tff(30014,plain,
% 8.10/6.28 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB56)),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30015,plain,
% 8.10/6.28 (v4(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30014, 278])).
% 8.10/6.28 tff(30016,plain,
% 8.10/6.28 ((~((~v4(constB56)) <=> v18(constB56))) | (~v4(constB56)) | (~v18(constB56))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30017,plain,
% 8.10/6.28 (~v18(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30016, 30015, 30013])).
% 8.10/6.28 tff(30018,plain,
% 8.10/6.28 ((~(v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))) | v18(constB56) | ((~v19(constB56)) | (~v22(constB56)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30019,plain,
% 8.10/6.28 ((~v19(constB56)) | (~v22(constB56))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30018, 30017, 30011])).
% 8.10/6.28 tff(30020,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB56) <=> (v1(constB56) | v6(constB56)))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30021,plain,
% 8.10/6.28 (v22(constB56) <=> (v1(constB56) | v6(constB56))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30020, 291])).
% 8.10/6.28 tff(30022,plain,
% 8.10/6.28 ((v1(constB56) | v6(constB56)) | (~v1(constB56))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30023,plain,
% 8.10/6.28 (v1(constB56) | v6(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30022, 8393])).
% 8.10/6.28 tff(30024,plain,
% 8.10/6.28 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56) | (~(v1(constB56) | v6(constB56)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30025,plain,
% 8.10/6.28 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30024, 30023])).
% 8.10/6.28 tff(30026,plain,
% 8.10/6.28 (v22(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30025, 30021])).
% 8.10/6.28 tff(30027,plain,
% 8.10/6.28 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56)) | (~v22(constB56))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30028,plain,
% 8.10/6.28 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30027, 30026])).
% 8.10/6.28 tff(30029,plain,
% 8.10/6.28 (~v19(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30028, 30019])).
% 8.10/6.28 tff(30030,plain,
% 8.10/6.28 ((~(v19(constB56) <=> (v20(constB56) | v21(constB56)))) | v19(constB56) | (~(v20(constB56) | v21(constB56)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30031,plain,
% 8.10/6.28 (~(v20(constB56) | v21(constB56))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30030, 30029, 30009])).
% 8.10/6.28 tff(30032,plain,
% 8.10/6.28 ((v20(constB56) | v21(constB56)) | (~v21(constB56))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30033,plain,
% 8.10/6.28 (~v21(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30032, 30031])).
% 8.10/6.28 tff(30034,plain,
% 8.10/6.28 ((~((~v21(constB56)) <=> v6(constB56))) | v21(constB56) | v6(constB56)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30035,plain,
% 8.10/6.28 (v6(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30034, 30033, 30007])).
% 8.10/6.28 tff(30036,plain,
% 8.10/6.28 ((~(v6(constB56) <=> v13(constB56))) | (~v6(constB56)) | v13(constB56)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30037,plain,
% 8.10/6.28 (v13(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30036, 30035, 30005])).
% 8.10/6.28 tff(30038,plain,
% 8.10/6.28 ((~(v13(constB56) <=> v9(constB55))) | (~v13(constB56)) | v9(constB55)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30039,plain,
% 8.10/6.28 (v9(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30038, 30037, 30003])).
% 8.10/6.28 tff(30040,plain,
% 8.10/6.28 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB55)) <=> v1(constB55))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30041,plain,
% 8.10/6.28 ((~v39(constB55)) <=> v1(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30040, 129])).
% 8.10/6.28 tff(30042,plain,
% 8.10/6.28 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55) | v1(constB55)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30043,plain,
% 8.10/6.28 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30042, 2141])).
% 8.10/6.28 tff(30044,plain,
% 8.10/6.28 (v39(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30043, 30041])).
% 8.10/6.28 tff(30045,plain,
% 8.10/6.28 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v39(constB55)) | (~v9(constB55))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30046,plain,
% 8.10/6.28 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v9(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30045, 30044])).
% 8.10/6.28 tff(30047,plain,
% 8.10/6.28 (~((~v39(constB55)) | (~v9(constB55)))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30046, 30039])).
% 8.10/6.28 tff(30048,plain,
% 8.10/6.28 ((~(v184(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))) | v184(constB55) | ((~v39(constB55)) | (~v9(constB55)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30049,plain,
% 8.10/6.28 (v184(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30048, 30047, 29999])).
% 8.10/6.28 tff(30050,plain,
% 8.10/6.28 ((v184(constB55) | v26(constB55)) | (~v184(constB55))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30051,plain,
% 8.10/6.28 (v184(constB55) | v26(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30050, 30049])).
% 8.10/6.28 tff(30052,plain,
% 8.10/6.28 ((~(v183(constB55) <=> (v184(constB55) | v26(constB55)))) | v183(constB55) | (~(v184(constB55) | v26(constB55)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30053,plain,
% 8.10/6.28 (v183(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30052, 30051, 29997])).
% 8.10/6.28 tff(30054,plain,
% 8.10/6.28 ((~((~v182(constB55)) <=> v183(constB55))) | (~v182(constB55)) | (~v183(constB55))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30055,plain,
% 8.10/6.28 (~v182(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30054, 30053, 29995])).
% 8.10/6.28 tff(30056,plain,
% 8.10/6.28 (((~v157(constB55)) | (~v182(constB55))) | v182(constB55)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30057,plain,
% 8.10/6.28 ((~v157(constB55)) | (~v182(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30056, 30055])).
% 8.10/6.28 tff(30058,plain,
% 8.10/6.28 ((~(v181(constB55) <=> (~((~v157(constB55)) | (~v182(constB55)))))) | (~v181(constB55)) | (~((~v157(constB55)) | (~v182(constB55))))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30059,plain,
% 8.10/6.28 (~v181(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30058, 30057, 29993])).
% 8.10/6.28 tff(30060,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB55) <=> (~((~v186(constB55)) | (~v187(constB55)))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30061,plain,
% 8.10/6.28 (v185(constB55) <=> (~((~v186(constB55)) | (~v187(constB55))))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30060, 96])).
% 8.10/6.28 tff(30062,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB55) <=> (~((~v184(constB55)) | (~v159(constB55)))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30063,plain,
% 8.10/6.28 (v187(constB55) <=> (~((~v184(constB55)) | (~v159(constB55))))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30062, 108])).
% 8.10/6.28 tff(30064,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB55) <=> v161(constB55))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30065,plain,
% 8.10/6.28 (v159(constB55) <=> v161(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30064, 345])).
% 8.10/6.28 tff(30066,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB55) <=> (v145(constB55) | v165(constB55)))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30067,plain,
% 8.10/6.28 (v164(constB55) <=> (v145(constB55) | v165(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30066, 357])).
% 8.10/6.28 tff(30068,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB55) <=> (v142(constB55) | v166(constB55)))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30069,plain,
% 8.10/6.28 (v165(constB55) <=> (v142(constB55) | v166(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30068, 369])).
% 8.10/6.28 tff(30070,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB55) <=> (v141(constB55) | v167(constB55)))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30071,plain,
% 8.10/6.28 (v166(constB55) <=> (v141(constB55) | v167(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30070, 381])).
% 8.10/6.28 tff(30072,plain,
% 8.10/6.28 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB55) <=> (~((~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB55) <=> (~((~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0))))))),
% 8.10/6.28 inference(rewrite,[status(thm)],[])).
% 8.10/6.28 tff(30073,plain,
% 8.10/6.28 ((v141(constB55) <=> (~(v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0))))) <=> (v141(constB55) <=> (~((~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))))),
% 8.10/6.28 inference(rewrite,[status(thm)],[])).
% 8.10/6.28 tff(30074,plain,
% 8.10/6.28 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB55) <=> (~(v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB55) <=> (~((~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0))))))),
% 8.10/6.28 inference(monotonicity,[status(thm)],[30073])).
% 8.10/6.28 tff(30075,plain,
% 8.10/6.28 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB55) <=> (~(v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB55) <=> (~((~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0))))))),
% 8.10/6.28 inference(transitivity,[status(thm)],[30074, 30072])).
% 8.10/6.28 tff(30076,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB55) <=> (~(v88(constB55, bitIndex2) | (~v88(constB55, bitIndex1)) | (~v88(constB55, bitIndex0)))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30077,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB55) <=> (~((~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))))),
% 8.10/6.28 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 8.10/6.28 tff(30078,plain,
% 8.10/6.28 (v141(constB55) <=> (~((~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0))))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30077, 396])).
% 8.10/6.28 tff(30079,plain,
% 8.10/6.28 ((~![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))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30080,plain,
% 8.10/6.28 (~(((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)) | ((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)) | ((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0)))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30079, 416])).
% 8.10/6.28 tff(30081,plain,
% 8.10/6.28 ((((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)) | ((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)) | ((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0))) | (~((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30082,plain,
% 8.10/6.28 (~((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30081, 30080])).
% 8.10/6.28 tff(30083,plain,
% 8.10/6.28 (((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)) | (~v88(constB55, bitIndex2)) | v90(constB55, bitIndex2)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30084,plain,
% 8.10/6.28 (~v88(constB55, bitIndex2)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30083, 8315, 30082])).
% 8.10/6.28 tff(30085,plain,
% 8.10/6.28 ((((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)) | ((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)) | ((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0))) | (~((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30086,plain,
% 8.10/6.28 (~((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30085, 30080])).
% 8.10/6.28 tff(30087,plain,
% 8.10/6.28 (((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0)) | v88(constB55, bitIndex0) | (~v90(constB55, bitIndex0))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30088,plain,
% 8.10/6.28 (v88(constB55, bitIndex0)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30087, 8333, 30086])).
% 8.10/6.28 tff(30089,plain,
% 8.10/6.28 ((((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)) | ((~v88(constB55, bitIndex2)) <=> v90(constB55, bitIndex2)) | ((~v88(constB55, bitIndex0)) <=> v90(constB55, bitIndex0))) | (~((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30090,plain,
% 8.10/6.28 (~((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30089, 30080])).
% 8.10/6.28 tff(30091,plain,
% 8.10/6.28 (((~v88(constB55, bitIndex1)) <=> v90(constB55, bitIndex1)) | v88(constB55, bitIndex1) | (~v90(constB55, bitIndex1))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30092,plain,
% 8.10/6.28 (v88(constB55, bitIndex1)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30091, 8351, 30090])).
% 8.10/6.28 tff(30093,plain,
% 8.10/6.28 ((~((~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30094,plain,
% 8.10/6.28 (~((~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30093, 30092, 30088, 30084])).
% 8.10/6.28 tff(30095,plain,
% 8.10/6.28 ((~(v141(constB55) <=> (~((~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))))) | v141(constB55) | ((~v88(constB55, bitIndex1)) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30096,plain,
% 8.10/6.28 (v141(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30095, 30094, 30078])).
% 8.10/6.28 tff(30097,plain,
% 8.10/6.28 ((v141(constB55) | v167(constB55)) | (~v141(constB55))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30098,plain,
% 8.10/6.28 (v141(constB55) | v167(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30097, 30096])).
% 8.10/6.28 tff(30099,plain,
% 8.10/6.28 ((~(v166(constB55) <=> (v141(constB55) | v167(constB55)))) | v166(constB55) | (~(v141(constB55) | v167(constB55)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30100,plain,
% 8.10/6.28 (v166(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30099, 30098, 30071])).
% 8.10/6.28 tff(30101,plain,
% 8.10/6.28 ((v142(constB55) | v166(constB55)) | (~v166(constB55))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30102,plain,
% 8.10/6.28 (v142(constB55) | v166(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30101, 30100])).
% 8.10/6.28 tff(30103,plain,
% 8.10/6.28 ((~(v165(constB55) <=> (v142(constB55) | v166(constB55)))) | v165(constB55) | (~(v142(constB55) | v166(constB55)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30104,plain,
% 8.10/6.28 ((~(v165(constB55) <=> (v142(constB55) | v166(constB55)))) | v165(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30103, 30102])).
% 8.10/6.28 tff(30105,plain,
% 8.10/6.28 (v165(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30104, 30069])).
% 8.10/6.28 tff(30106,plain,
% 8.10/6.28 ((v145(constB55) | v165(constB55)) | (~v165(constB55))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30107,plain,
% 8.10/6.28 (v145(constB55) | v165(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30106, 30105])).
% 8.10/6.28 tff(30108,plain,
% 8.10/6.28 ((~(v164(constB55) <=> (v145(constB55) | v165(constB55)))) | v164(constB55) | (~(v145(constB55) | v165(constB55)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30109,plain,
% 8.10/6.28 (v164(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30108, 30107, 30067])).
% 8.10/6.28 tff(30110,plain,
% 8.10/6.28 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB55)) | (v161(constB55) <=> v168(constB55)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB55)) | (v161(constB55) <=> v168(constB55)))),
% 8.10/6.28 inference(rewrite,[status(thm)],[])).
% 8.10/6.28 tff(30111,plain,
% 8.10/6.28 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB55)) | (v161(constB55) <=> v168(constB55)))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30112,plain,
% 8.10/6.28 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB55)) | (v161(constB55) <=> v168(constB55))),
% 8.10/6.28 inference(modus_ponens,[status(thm)],[30111, 30110])).
% 8.10/6.28 tff(30113,plain,
% 8.10/6.28 ((~v164(constB55)) | (v161(constB55) <=> v168(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30112, 12128])).
% 8.10/6.28 tff(30114,plain,
% 8.10/6.28 (v161(constB55) <=> v168(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30113, 30109])).
% 8.10/6.28 tff(30115,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB55) <=> (~(v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30116,plain,
% 8.10/6.28 (v139(constB55) <=> (~(v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2)))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30115, 12146])).
% 8.10/6.28 tff(30117,plain,
% 8.10/6.28 ((v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex0))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30118,plain,
% 8.10/6.28 (v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30117, 30088])).
% 8.10/6.28 tff(30119,plain,
% 8.10/6.28 ((~(v139(constB55) <=> (~(v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2))))) | (~v139(constB55)) | (~(v88(constB55, bitIndex0) | v88(constB55, bitIndex1) | v88(constB55, bitIndex2)))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30120,plain,
% 8.10/6.28 (~v139(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30119, 30118, 30116])).
% 8.10/6.28 tff(30121,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB55) <=> (~(v88(constB55, bitIndex1) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30122,plain,
% 8.10/6.28 (v140(constB55) <=> (~(v88(constB55, bitIndex1) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0))))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30121, 12165])).
% 8.10/6.28 tff(30123,plain,
% 8.10/6.28 ((v88(constB55, bitIndex1) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0))) | (~v88(constB55, bitIndex1))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30124,plain,
% 8.10/6.28 (v88(constB55, bitIndex1) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30123, 30092])).
% 8.10/6.28 tff(30125,plain,
% 8.10/6.28 ((~(v140(constB55) <=> (~(v88(constB55, bitIndex1) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0)))))) | (~v140(constB55)) | (~(v88(constB55, bitIndex1) | v88(constB55, bitIndex2) | (~v88(constB55, bitIndex0))))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30126,plain,
% 8.10/6.28 (~v140(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30125, 30124, 30122])).
% 8.10/6.28 tff(30127,plain,
% 8.10/6.28 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v168(constB55)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB55) | v139(constB55) | (~v168(constB55)))),
% 8.10/6.28 inference(rewrite,[status(thm)],[])).
% 8.10/6.28 tff(30128,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v168(constB55)))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30129,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB55) | v139(constB55) | (~v168(constB55))),
% 8.10/6.28 inference(modus_ponens,[status(thm)],[30128, 30127])).
% 8.10/6.28 tff(30130,plain,
% 8.10/6.28 (v140(constB55) | v139(constB55) | (~v168(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30129, 12184])).
% 8.10/6.28 tff(30131,plain,
% 8.10/6.28 (~v168(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30130, 30126, 30120])).
% 8.10/6.28 tff(30132,plain,
% 8.10/6.28 ((~(v161(constB55) <=> v168(constB55))) | (~v161(constB55)) | v168(constB55)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30133,plain,
% 8.10/6.28 ((~(v161(constB55) <=> v168(constB55))) | (~v161(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30132, 30131])).
% 8.10/6.28 tff(30134,plain,
% 8.10/6.28 (~v161(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30133, 30114])).
% 8.10/6.28 tff(30135,plain,
% 8.10/6.28 ((~(v159(constB55) <=> v161(constB55))) | (~v159(constB55)) | v161(constB55)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30136,plain,
% 8.10/6.28 ((~(v159(constB55) <=> v161(constB55))) | (~v159(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30135, 30134])).
% 8.10/6.28 tff(30137,plain,
% 8.10/6.28 (~v159(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30136, 30065])).
% 8.10/6.28 tff(30138,plain,
% 8.10/6.28 (((~v184(constB55)) | (~v159(constB55))) | v159(constB55)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30139,plain,
% 8.10/6.28 ((~v184(constB55)) | (~v159(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30138, 30137])).
% 8.10/6.28 tff(30140,plain,
% 8.10/6.28 ((~(v187(constB55) <=> (~((~v184(constB55)) | (~v159(constB55)))))) | (~v187(constB55)) | (~((~v184(constB55)) | (~v159(constB55))))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30141,plain,
% 8.10/6.28 (~v187(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30140, 30139, 30063])).
% 8.10/6.28 tff(30142,plain,
% 8.10/6.28 (((~v186(constB55)) | (~v187(constB55))) | v187(constB55)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30143,plain,
% 8.10/6.28 ((~v186(constB55)) | (~v187(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30142, 30141])).
% 8.10/6.28 tff(30144,plain,
% 8.10/6.28 ((~(v185(constB55) <=> (~((~v186(constB55)) | (~v187(constB55)))))) | (~v185(constB55)) | (~((~v186(constB55)) | (~v187(constB55))))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30145,plain,
% 8.10/6.28 (~v185(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30144, 30143, 30061])).
% 8.10/6.28 tff(30146,plain,
% 8.10/6.28 ((~(v181(constB55) | v185(constB55))) | v181(constB55) | v185(constB55)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30147,plain,
% 8.10/6.28 (~(v181(constB55) | v185(constB55))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30146, 30145, 30059])).
% 8.10/6.28 tff(30148,plain,
% 8.10/6.28 ((~(v178(constB55) <=> (v181(constB55) | v185(constB55)))) | (~v178(constB55)) | (v181(constB55) | v185(constB55))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30149,plain,
% 8.10/6.28 (~v178(constB55)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30148, 30147, 29986])).
% 8.10/6.28 tff(30150,plain,
% 8.10/6.28 ((~(v180(constB56) <=> v178(constB55))) | (~v180(constB56)) | v178(constB55)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30151,plain,
% 8.10/6.28 (~v180(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30150, 30149, 29984])).
% 8.10/6.28 tff(30152,plain,
% 8.10/6.28 ((~(v157(constB56) <=> v180(constB56))) | (~v157(constB56)) | v180(constB56)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30153,plain,
% 8.10/6.28 (~v157(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30152, 30151, 29980])).
% 8.10/6.28 tff(30154,plain,
% 8.10/6.28 (((~v157(constB56)) | (~v182(constB56))) | v157(constB56)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30155,plain,
% 8.10/6.28 ((~v157(constB56)) | (~v182(constB56))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30154, 30153])).
% 8.10/6.28 tff(30156,plain,
% 8.10/6.28 ((~(v181(constB56) <=> (~((~v157(constB56)) | (~v182(constB56)))))) | (~v181(constB56)) | (~((~v157(constB56)) | (~v182(constB56))))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30157,plain,
% 8.10/6.28 (~v181(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30156, 30155, 29978])).
% 8.10/6.28 tff(30158,plain,
% 8.10/6.28 ((~(v181(constB56) | v185(constB56))) | v181(constB56) | v185(constB56)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30159,plain,
% 8.10/6.28 (~(v181(constB56) | v185(constB56))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30158, 30157, 29971])).
% 8.10/6.28 tff(30160,plain,
% 8.10/6.28 ((~(v178(constB56) <=> (v181(constB56) | v185(constB56)))) | (~v178(constB56)) | (v181(constB56) | v185(constB56))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30161,plain,
% 8.10/6.28 (~v178(constB56)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30160, 30159, 29946])).
% 8.10/6.28 tff(30162,plain,
% 8.10/6.28 ((~(v180(constB57) <=> v178(constB56))) | (~v180(constB57)) | v178(constB56)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30163,plain,
% 8.10/6.28 (~v180(constB57)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30162, 30161, 29944])).
% 8.10/6.28 tff(30164,plain,
% 8.10/6.28 ($false),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30163, 29940])).
% 8.10/6.28 tff(30165,plain,(~(constB57 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.28 tff(30166,assumption,(constB123 = VarCurr!0), introduced(assumption)).
% 8.10/6.28 tff(30167,plain,
% 8.10/6.28 (v180(constB123) <=> v180(VarCurr!0)),
% 8.10/6.28 inference(monotonicity,[status(thm)],[30166])).
% 8.10/6.28 tff(30168,plain,
% 8.10/6.28 (v180(VarCurr!0) <=> v180(constB123)),
% 8.10/6.28 inference(symmetry,[status(thm)],[30167])).
% 8.10/6.28 tff(30169,plain,
% 8.10/6.28 (v180(constB123)),
% 8.10/6.28 inference(modus_ponens,[status(thm)],[59, 30168])).
% 8.10/6.28 tff(30170,plain,
% 8.10/6.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB122, constB123)) | (v180(constB123) <=> v178(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB122, constB123)) | (v180(constB123) <=> v178(constB122)))),
% 8.10/6.28 inference(rewrite,[status(thm)],[])).
% 8.10/6.28 tff(30171,plain,
% 8.10/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB122, constB123)) | (v180(constB123) <=> v178(constB122)))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30172,plain,
% 8.10/6.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB122, constB123)) | (v180(constB123) <=> v178(constB122))),
% 8.10/6.28 inference(modus_ponens,[status(thm)],[30171, 30170])).
% 8.10/6.28 tff(30173,plain,
% 8.10/6.28 (v180(constB123) <=> v178(constB122)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30172, 14438, 70])).
% 8.10/6.28 tff(30174,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB122) <=> (v181(constB122) | v185(constB122)))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30175,plain,
% 8.10/6.28 (v178(constB122) <=> (v181(constB122) | v185(constB122))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30174, 84])).
% 8.10/6.28 tff(30176,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB122) <=> (~((~v186(constB122)) | (~v187(constB122)))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30177,plain,
% 8.10/6.28 (v185(constB122) <=> (~((~v186(constB122)) | (~v187(constB122))))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30176, 96])).
% 8.10/6.28 tff(30178,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB122) <=> (~((~v184(constB122)) | (~v159(constB122)))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30179,plain,
% 8.10/6.28 (v187(constB122) <=> (~((~v184(constB122)) | (~v159(constB122))))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30178, 108])).
% 8.10/6.28 tff(30180,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30181,plain,
% 8.10/6.28 (v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122))))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30180, 120])).
% 8.10/6.28 tff(30182,plain,
% 8.10/6.28 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB122)) <=> v1(constB122))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30183,plain,
% 8.10/6.28 ((~v39(constB122)) <=> v1(constB122)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30182, 129])).
% 8.10/6.28 tff(30184,plain,
% 8.10/6.28 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122)) | (~v1(constB122))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30185,plain,
% 8.10/6.28 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30184, 16509])).
% 8.10/6.28 tff(30186,plain,
% 8.10/6.28 (~v39(constB122)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30185, 30183])).
% 8.10/6.28 tff(30187,plain,
% 8.10/6.28 (((~v39(constB122)) | (~v9(constB122))) | v39(constB122)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30188,plain,
% 8.10/6.28 ((~v39(constB122)) | (~v9(constB122))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30187, 30186])).
% 8.10/6.28 tff(30189,plain,
% 8.10/6.28 ((~(v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v184(constB122)) | (~((~v39(constB122)) | (~v9(constB122))))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30190,plain,
% 8.10/6.28 ((~(v184(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v184(constB122))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30189, 30188])).
% 8.10/6.28 tff(30191,plain,
% 8.10/6.28 (~v184(constB122)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30190, 30181])).
% 8.10/6.28 tff(30192,plain,
% 8.10/6.28 (((~v184(constB122)) | (~v159(constB122))) | v184(constB122)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30193,plain,
% 8.10/6.28 ((~v184(constB122)) | (~v159(constB122))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30192, 30191])).
% 8.10/6.28 tff(30194,plain,
% 8.10/6.28 ((~(v187(constB122) <=> (~((~v184(constB122)) | (~v159(constB122)))))) | (~v187(constB122)) | (~((~v184(constB122)) | (~v159(constB122))))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30195,plain,
% 8.10/6.28 ((~(v187(constB122) <=> (~((~v184(constB122)) | (~v159(constB122)))))) | (~v187(constB122))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30194, 30193])).
% 8.10/6.28 tff(30196,plain,
% 8.10/6.28 (~v187(constB122)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30195, 30179])).
% 8.10/6.28 tff(30197,plain,
% 8.10/6.28 (((~v186(constB122)) | (~v187(constB122))) | v187(constB122)),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30198,plain,
% 8.10/6.28 ((~v186(constB122)) | (~v187(constB122))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30197, 30196])).
% 8.10/6.28 tff(30199,plain,
% 8.10/6.28 ((~(v185(constB122) <=> (~((~v186(constB122)) | (~v187(constB122)))))) | (~v185(constB122)) | (~((~v186(constB122)) | (~v187(constB122))))),
% 8.10/6.28 inference(tautology,[status(thm)],[])).
% 8.10/6.28 tff(30200,plain,
% 8.10/6.28 (~v185(constB122)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30199, 30198, 30177])).
% 8.10/6.28 tff(30201,plain,
% 8.10/6.28 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122))))))),
% 8.10/6.28 inference(rewrite,[status(thm)],[])).
% 8.10/6.28 tff(30202,plain,
% 8.10/6.28 ((v181(constB122) <=> (~((~v182(constB122)) | (~v157(constB122))))) <=> (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122)))))),
% 8.10/6.28 inference(rewrite,[status(thm)],[])).
% 8.10/6.28 tff(30203,plain,
% 8.10/6.28 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v182(constB122)) | (~v157(constB122)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122))))))),
% 8.10/6.28 inference(monotonicity,[status(thm)],[30202])).
% 8.10/6.28 tff(30204,plain,
% 8.10/6.28 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v182(constB122)) | (~v157(constB122)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122))))))),
% 8.10/6.28 inference(transitivity,[status(thm)],[30203, 30201])).
% 8.10/6.28 tff(30205,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v182(constB122)) | (~v157(constB122)))))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30206,plain,
% 8.10/6.28 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122)))))),
% 8.10/6.28 inference(modus_ponens,[status(thm)],[30205, 30204])).
% 8.10/6.28 tff(30207,plain,
% 8.10/6.28 (v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122))))),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30206, 161])).
% 8.10/6.28 tff(30208,plain,
% 8.10/6.28 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB122) <=> v180(constB122))),
% 8.10/6.28 inference(quant_inst,[status(thm)],[])).
% 8.10/6.28 tff(30209,plain,
% 8.10/6.28 (v157(constB122) <=> v180(constB122)),
% 8.10/6.28 inference(unit_resolution,[status(thm)],[30208, 13])).
% 8.10/6.28 tff(30210,plain,
% 8.10/6.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB121, constB122)) | (v180(constB122) <=> v178(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB121, constB122)) | (v180(constB122) <=> v178(constB121)))),
% 8.10/6.29 inference(rewrite,[status(thm)],[])).
% 8.10/6.29 tff(30211,plain,
% 8.10/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB121, constB122)) | (v180(constB122) <=> v178(constB121)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30212,plain,
% 8.10/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB121, constB122)) | (v180(constB122) <=> v178(constB121))),
% 8.10/6.29 inference(modus_ponens,[status(thm)],[30211, 30210])).
% 8.10/6.29 tff(30213,plain,
% 8.10/6.29 (v180(constB122) <=> v178(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30212, 14474, 70])).
% 8.10/6.29 tff(30214,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB121) <=> (v181(constB121) | v185(constB121)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30215,plain,
% 8.10/6.29 (v178(constB121) <=> (v181(constB121) | v185(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30214, 84])).
% 8.10/6.29 tff(30216,plain,
% 8.10/6.29 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121))))))),
% 8.10/6.29 inference(rewrite,[status(thm)],[])).
% 8.10/6.29 tff(30217,plain,
% 8.10/6.29 ((v181(constB121) <=> (~((~v182(constB121)) | (~v157(constB121))))) <=> (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121)))))),
% 8.10/6.29 inference(rewrite,[status(thm)],[])).
% 8.10/6.29 tff(30218,plain,
% 8.10/6.29 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v182(constB121)) | (~v157(constB121)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121))))))),
% 8.10/6.29 inference(monotonicity,[status(thm)],[30217])).
% 8.10/6.29 tff(30219,plain,
% 8.10/6.29 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v182(constB121)) | (~v157(constB121)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121))))))),
% 8.10/6.29 inference(transitivity,[status(thm)],[30218, 30216])).
% 8.10/6.29 tff(30220,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v182(constB121)) | (~v157(constB121)))))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30221,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121)))))),
% 8.10/6.29 inference(modus_ponens,[status(thm)],[30220, 30219])).
% 8.10/6.29 tff(30222,plain,
% 8.10/6.29 (v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121))))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30221, 161])).
% 8.10/6.29 tff(30223,plain,
% 8.10/6.29 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB121)) <=> v183(constB121))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30224,plain,
% 8.10/6.29 ((~v182(constB121)) <=> v183(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30223, 193])).
% 8.10/6.29 tff(30225,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB121) <=> (v184(constB121) | v26(constB121)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30226,plain,
% 8.10/6.29 (v183(constB121) <=> (v184(constB121) | v26(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30225, 202])).
% 8.10/6.29 tff(30227,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30228,plain,
% 8.10/6.29 (v184(constB121) <=> (~((~v39(constB121)) | (~v9(constB121))))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30227, 120])).
% 8.10/6.29 tff(30229,plain,
% 8.10/6.29 (((~![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)))),
% 8.10/6.29 inference(rewrite,[status(thm)],[])).
% 8.10/6.29 tff(30230,plain,
% 8.10/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30231,plain,
% 8.10/6.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121))),
% 8.10/6.29 inference(modus_ponens,[status(thm)],[30230, 30229])).
% 8.10/6.29 tff(30232,plain,
% 8.10/6.29 (v13(constB122) <=> v9(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30231, 14474, 216])).
% 8.10/6.29 tff(30233,plain,
% 8.10/6.29 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB122) <=> v13(constB122))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30234,plain,
% 8.10/6.29 (v6(constB122) <=> v13(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30233, 230])).
% 8.10/6.29 tff(30235,plain,
% 8.10/6.29 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB122)) <=> v6(constB122))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30236,plain,
% 8.10/6.29 ((~v21(constB122)) <=> v6(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30235, 239])).
% 8.10/6.29 tff(30237,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB122) <=> (v20(constB122) | v21(constB122)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30238,plain,
% 8.10/6.29 (v19(constB122) <=> (v20(constB122) | v21(constB122))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30237, 248])).
% 8.10/6.29 tff(30239,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30240,plain,
% 8.10/6.29 (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122))))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30239, 260])).
% 8.10/6.29 tff(30241,plain,
% 8.10/6.29 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB122)) <=> v18(constB122))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30242,plain,
% 8.10/6.29 ((~v4(constB122)) <=> v18(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30241, 269])).
% 8.10/6.29 tff(30243,plain,
% 8.10/6.29 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB122)),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30244,plain,
% 8.10/6.29 (v4(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30243, 278])).
% 8.10/6.29 tff(30245,plain,
% 8.10/6.29 ((~((~v4(constB122)) <=> v18(constB122))) | (~v4(constB122)) | (~v18(constB122))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30246,plain,
% 8.10/6.29 (~v18(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30245, 30244, 30242])).
% 8.10/6.29 tff(30247,plain,
% 8.10/6.29 ((~(v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))) | v18(constB122) | ((~v19(constB122)) | (~v22(constB122)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30248,plain,
% 8.10/6.29 ((~v19(constB122)) | (~v22(constB122))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30247, 30246, 30240])).
% 8.10/6.29 tff(30249,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB122) <=> (v1(constB122) | v6(constB122)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30250,plain,
% 8.10/6.29 (v22(constB122) <=> (v1(constB122) | v6(constB122))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30249, 291])).
% 8.10/6.29 tff(30251,plain,
% 8.10/6.29 ((v1(constB122) | v6(constB122)) | (~v1(constB122))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30252,plain,
% 8.10/6.29 (v1(constB122) | v6(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30251, 16509])).
% 8.10/6.29 tff(30253,plain,
% 8.10/6.29 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122) | (~(v1(constB122) | v6(constB122)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30254,plain,
% 8.10/6.29 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30253, 30252])).
% 8.10/6.29 tff(30255,plain,
% 8.10/6.29 (v22(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30254, 30250])).
% 8.10/6.29 tff(30256,plain,
% 8.10/6.29 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122)) | (~v22(constB122))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30257,plain,
% 8.10/6.29 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30256, 30255])).
% 8.10/6.29 tff(30258,plain,
% 8.10/6.29 (~v19(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30257, 30248])).
% 8.10/6.29 tff(30259,plain,
% 8.10/6.29 ((~(v19(constB122) <=> (v20(constB122) | v21(constB122)))) | v19(constB122) | (~(v20(constB122) | v21(constB122)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30260,plain,
% 8.10/6.29 (~(v20(constB122) | v21(constB122))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30259, 30258, 30238])).
% 8.10/6.29 tff(30261,plain,
% 8.10/6.29 ((v20(constB122) | v21(constB122)) | (~v21(constB122))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30262,plain,
% 8.10/6.29 (~v21(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30261, 30260])).
% 8.10/6.29 tff(30263,plain,
% 8.10/6.29 ((~((~v21(constB122)) <=> v6(constB122))) | v21(constB122) | v6(constB122)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30264,plain,
% 8.10/6.29 (v6(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30263, 30262, 30236])).
% 8.10/6.29 tff(30265,plain,
% 8.10/6.29 ((~(v6(constB122) <=> v13(constB122))) | (~v6(constB122)) | v13(constB122)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30266,plain,
% 8.10/6.29 (v13(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30265, 30264, 30234])).
% 8.10/6.29 tff(30267,plain,
% 8.10/6.29 ((~(v13(constB122) <=> v9(constB121))) | (~v13(constB122)) | v9(constB121)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30268,plain,
% 8.10/6.29 (v9(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30267, 30266, 30232])).
% 8.10/6.29 tff(30269,plain,
% 8.10/6.29 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB121)) <=> v1(constB121))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30270,plain,
% 8.10/6.29 ((~v39(constB121)) <=> v1(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30269, 129])).
% 8.10/6.29 tff(30271,plain,
% 8.10/6.29 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121) | v1(constB121)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30272,plain,
% 8.10/6.29 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30271, 14513])).
% 8.10/6.29 tff(30273,plain,
% 8.10/6.29 (v39(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30272, 30270])).
% 8.10/6.29 tff(30274,plain,
% 8.10/6.29 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v39(constB121)) | (~v9(constB121))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30275,plain,
% 8.10/6.29 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v9(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30274, 30273])).
% 8.10/6.29 tff(30276,plain,
% 8.10/6.29 (~((~v39(constB121)) | (~v9(constB121)))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30275, 30268])).
% 8.10/6.29 tff(30277,plain,
% 8.10/6.29 ((~(v184(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))) | v184(constB121) | ((~v39(constB121)) | (~v9(constB121)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30278,plain,
% 8.10/6.29 (v184(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30277, 30276, 30228])).
% 8.10/6.29 tff(30279,plain,
% 8.10/6.29 ((v184(constB121) | v26(constB121)) | (~v184(constB121))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30280,plain,
% 8.10/6.29 (v184(constB121) | v26(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30279, 30278])).
% 8.10/6.29 tff(30281,plain,
% 8.10/6.29 ((~(v183(constB121) <=> (v184(constB121) | v26(constB121)))) | v183(constB121) | (~(v184(constB121) | v26(constB121)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30282,plain,
% 8.10/6.29 (v183(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30281, 30280, 30226])).
% 8.10/6.29 tff(30283,plain,
% 8.10/6.29 ((~((~v182(constB121)) <=> v183(constB121))) | (~v182(constB121)) | (~v183(constB121))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30284,plain,
% 8.10/6.29 (~v182(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30283, 30282, 30224])).
% 8.10/6.29 tff(30285,plain,
% 8.10/6.29 (((~v157(constB121)) | (~v182(constB121))) | v182(constB121)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30286,plain,
% 8.10/6.29 ((~v157(constB121)) | (~v182(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30285, 30284])).
% 8.10/6.29 tff(30287,plain,
% 8.10/6.29 ((~(v181(constB121) <=> (~((~v157(constB121)) | (~v182(constB121)))))) | (~v181(constB121)) | (~((~v157(constB121)) | (~v182(constB121))))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30288,plain,
% 8.10/6.29 (~v181(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30287, 30286, 30222])).
% 8.10/6.29 tff(30289,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB121) <=> (~((~v186(constB121)) | (~v187(constB121)))))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30290,plain,
% 8.10/6.29 (v185(constB121) <=> (~((~v186(constB121)) | (~v187(constB121))))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30289, 96])).
% 8.10/6.29 tff(30291,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB121) <=> (~((~v184(constB121)) | (~v159(constB121)))))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30292,plain,
% 8.10/6.29 (v187(constB121) <=> (~((~v184(constB121)) | (~v159(constB121))))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30291, 108])).
% 8.10/6.29 tff(30293,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB121) <=> v161(constB121))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30294,plain,
% 8.10/6.29 (v159(constB121) <=> v161(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30293, 345])).
% 8.10/6.29 tff(30295,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB121) <=> (v145(constB121) | v165(constB121)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30296,plain,
% 8.10/6.29 (v164(constB121) <=> (v145(constB121) | v165(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30295, 357])).
% 8.10/6.29 tff(30297,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB121) <=> (v142(constB121) | v166(constB121)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30298,plain,
% 8.10/6.29 (v165(constB121) <=> (v142(constB121) | v166(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30297, 369])).
% 8.10/6.29 tff(30299,plain,
% 8.10/6.29 ((v142(constB121) | v166(constB121)) | (~v142(constB121))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30300,plain,
% 8.10/6.29 (v142(constB121) | v166(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30299, 26375])).
% 8.10/6.29 tff(30301,plain,
% 8.10/6.29 ((~(v165(constB121) <=> (v142(constB121) | v166(constB121)))) | v165(constB121) | (~(v142(constB121) | v166(constB121)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30302,plain,
% 8.10/6.29 ((~(v165(constB121) <=> (v142(constB121) | v166(constB121)))) | v165(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30301, 30300])).
% 8.10/6.29 tff(30303,plain,
% 8.10/6.29 (v165(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30302, 30298])).
% 8.10/6.29 tff(30304,plain,
% 8.10/6.29 ((v145(constB121) | v165(constB121)) | (~v165(constB121))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30305,plain,
% 8.10/6.29 (v145(constB121) | v165(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30304, 30303])).
% 8.10/6.29 tff(30306,plain,
% 8.10/6.29 ((~(v164(constB121) <=> (v145(constB121) | v165(constB121)))) | v164(constB121) | (~(v145(constB121) | v165(constB121)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30307,plain,
% 8.10/6.29 (v164(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30306, 30305, 30296])).
% 8.10/6.29 tff(30308,plain,
% 8.10/6.29 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB121)) | (v161(constB121) <=> v168(constB121)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB121)) | (v161(constB121) <=> v168(constB121)))),
% 8.10/6.29 inference(rewrite,[status(thm)],[])).
% 8.10/6.29 tff(30309,plain,
% 8.10/6.29 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB121)) | (v161(constB121) <=> v168(constB121)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30310,plain,
% 8.10/6.29 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB121)) | (v161(constB121) <=> v168(constB121))),
% 8.10/6.29 inference(modus_ponens,[status(thm)],[30309, 30308])).
% 8.10/6.29 tff(30311,plain,
% 8.10/6.29 ((~v164(constB121)) | (v161(constB121) <=> v168(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30310, 12128])).
% 8.10/6.29 tff(30312,plain,
% 8.10/6.29 (v161(constB121) <=> v168(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30311, 30307])).
% 8.10/6.29 tff(30313,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB121) <=> (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2))))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30314,plain,
% 8.10/6.29 (v139(constB121) <=> (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30313, 12146])).
% 8.10/6.29 tff(30315,plain,
% 8.10/6.29 ((v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)) | (~v88(constB121, bitIndex2))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30316,plain,
% 8.10/6.29 (v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30315, 26359])).
% 8.10/6.29 tff(30317,plain,
% 8.10/6.29 ((~(v139(constB121) <=> (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2))))) | (~v139(constB121)) | (~(v88(constB121, bitIndex0) | v88(constB121, bitIndex1) | v88(constB121, bitIndex2)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30318,plain,
% 8.10/6.29 (~v139(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30317, 30316, 30314])).
% 8.10/6.29 tff(30319,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB121) <=> (~(v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30320,plain,
% 8.10/6.29 (v140(constB121) <=> (~(v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0))))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30319, 12165])).
% 8.10/6.29 tff(30321,plain,
% 8.10/6.29 ((v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0))) | (~v88(constB121, bitIndex2))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30322,plain,
% 8.10/6.29 (v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30321, 26359])).
% 8.10/6.29 tff(30323,plain,
% 8.10/6.29 ((~(v140(constB121) <=> (~(v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0)))))) | (~v140(constB121)) | (~(v88(constB121, bitIndex1) | v88(constB121, bitIndex2) | (~v88(constB121, bitIndex0))))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30324,plain,
% 8.10/6.29 (~v140(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30323, 30322, 30320])).
% 8.10/6.29 tff(30325,plain,
% 8.10/6.29 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB121) | v140(constB121) | (~v168(constB121)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB121) | v140(constB121) | (~v168(constB121)))),
% 8.10/6.29 inference(rewrite,[status(thm)],[])).
% 8.10/6.29 tff(30326,plain,
% 8.10/6.29 ((v140(constB121) | v139(constB121) | (~v168(constB121))) <=> (v139(constB121) | v140(constB121) | (~v168(constB121)))),
% 8.10/6.29 inference(rewrite,[status(thm)],[])).
% 8.10/6.29 tff(30327,plain,
% 8.10/6.29 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v168(constB121)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB121) | v140(constB121) | (~v168(constB121))))),
% 8.10/6.29 inference(monotonicity,[status(thm)],[30326])).
% 8.10/6.29 tff(30328,plain,
% 8.10/6.29 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v168(constB121)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB121) | v140(constB121) | (~v168(constB121)))),
% 8.10/6.29 inference(transitivity,[status(thm)],[30327, 30325])).
% 8.10/6.29 tff(30329,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB121) | v139(constB121) | (~v168(constB121)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30330,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB121) | v140(constB121) | (~v168(constB121))),
% 8.10/6.29 inference(modus_ponens,[status(thm)],[30329, 30328])).
% 8.10/6.29 tff(30331,plain,
% 8.10/6.29 (v139(constB121) | v140(constB121) | (~v168(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30330, 12184])).
% 8.10/6.29 tff(30332,plain,
% 8.10/6.29 (~v168(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30331, 30324, 30318])).
% 8.10/6.29 tff(30333,plain,
% 8.10/6.29 ((~(v161(constB121) <=> v168(constB121))) | (~v161(constB121)) | v168(constB121)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30334,plain,
% 8.10/6.29 ((~(v161(constB121) <=> v168(constB121))) | (~v161(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30333, 30332])).
% 8.10/6.29 tff(30335,plain,
% 8.10/6.29 (~v161(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30334, 30312])).
% 8.10/6.29 tff(30336,plain,
% 8.10/6.29 ((~(v159(constB121) <=> v161(constB121))) | (~v159(constB121)) | v161(constB121)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30337,plain,
% 8.10/6.29 ((~(v159(constB121) <=> v161(constB121))) | (~v159(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30336, 30335])).
% 8.10/6.29 tff(30338,plain,
% 8.10/6.29 (~v159(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30337, 30294])).
% 8.10/6.29 tff(30339,plain,
% 8.10/6.29 (((~v184(constB121)) | (~v159(constB121))) | v159(constB121)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30340,plain,
% 8.10/6.29 ((~v184(constB121)) | (~v159(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30339, 30338])).
% 8.10/6.29 tff(30341,plain,
% 8.10/6.29 ((~(v187(constB121) <=> (~((~v184(constB121)) | (~v159(constB121)))))) | (~v187(constB121)) | (~((~v184(constB121)) | (~v159(constB121))))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30342,plain,
% 8.10/6.29 (~v187(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30341, 30340, 30292])).
% 8.10/6.29 tff(30343,plain,
% 8.10/6.29 (((~v186(constB121)) | (~v187(constB121))) | v187(constB121)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30344,plain,
% 8.10/6.29 ((~v186(constB121)) | (~v187(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30343, 30342])).
% 8.10/6.29 tff(30345,plain,
% 8.10/6.29 ((~(v185(constB121) <=> (~((~v186(constB121)) | (~v187(constB121)))))) | (~v185(constB121)) | (~((~v186(constB121)) | (~v187(constB121))))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30346,plain,
% 8.10/6.29 (~v185(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30345, 30344, 30290])).
% 8.10/6.29 tff(30347,plain,
% 8.10/6.29 ((~(v181(constB121) | v185(constB121))) | v181(constB121) | v185(constB121)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30348,plain,
% 8.10/6.29 (~(v181(constB121) | v185(constB121))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30347, 30346, 30288])).
% 8.10/6.29 tff(30349,plain,
% 8.10/6.29 ((~(v178(constB121) <=> (v181(constB121) | v185(constB121)))) | (~v178(constB121)) | (v181(constB121) | v185(constB121))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30350,plain,
% 8.10/6.29 (~v178(constB121)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30349, 30348, 30215])).
% 8.10/6.29 tff(30351,plain,
% 8.10/6.29 ((~(v180(constB122) <=> v178(constB121))) | (~v180(constB122)) | v178(constB121)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30352,plain,
% 8.10/6.29 (~v180(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30351, 30350, 30213])).
% 8.10/6.29 tff(30353,plain,
% 8.10/6.29 ((~(v157(constB122) <=> v180(constB122))) | (~v157(constB122)) | v180(constB122)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30354,plain,
% 8.10/6.29 (~v157(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30353, 30352, 30209])).
% 8.10/6.29 tff(30355,plain,
% 8.10/6.29 (((~v157(constB122)) | (~v182(constB122))) | v157(constB122)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30356,plain,
% 8.10/6.29 ((~v157(constB122)) | (~v182(constB122))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30355, 30354])).
% 8.10/6.29 tff(30357,plain,
% 8.10/6.29 ((~(v181(constB122) <=> (~((~v157(constB122)) | (~v182(constB122)))))) | (~v181(constB122)) | (~((~v157(constB122)) | (~v182(constB122))))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30358,plain,
% 8.10/6.29 (~v181(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30357, 30356, 30207])).
% 8.10/6.29 tff(30359,plain,
% 8.10/6.29 ((~(v181(constB122) | v185(constB122))) | v181(constB122) | v185(constB122)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30360,plain,
% 8.10/6.29 (~(v181(constB122) | v185(constB122))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30359, 30358, 30200])).
% 8.10/6.29 tff(30361,plain,
% 8.10/6.29 ((~(v178(constB122) <=> (v181(constB122) | v185(constB122)))) | (~v178(constB122)) | (v181(constB122) | v185(constB122))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30362,plain,
% 8.10/6.29 (~v178(constB122)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30361, 30360, 30175])).
% 8.10/6.29 tff(30363,plain,
% 8.10/6.29 ((~(v180(constB123) <=> v178(constB122))) | (~v180(constB123)) | v178(constB122)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30364,plain,
% 8.10/6.29 (~v180(constB123)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30363, 30362, 30173])).
% 8.10/6.29 tff(30365,plain,
% 8.10/6.29 ($false),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30364, 30169])).
% 8.10/6.29 tff(30366,plain,(~(constB123 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.29 tff(30367,assumption,(constB149 = VarCurr!0), introduced(assumption)).
% 8.10/6.29 tff(30368,plain,
% 8.10/6.29 (v86(constB149) <=> v86(VarCurr!0)),
% 8.10/6.29 inference(monotonicity,[status(thm)],[30367])).
% 8.10/6.29 tff(30369,plain,
% 8.10/6.29 (v86(VarCurr!0) <=> v86(constB149)),
% 8.10/6.29 inference(symmetry,[status(thm)],[30368])).
% 8.10/6.29 tff(30370,plain,
% 8.10/6.29 ((~v86(VarCurr!0)) <=> (~v86(constB149))),
% 8.10/6.29 inference(monotonicity,[status(thm)],[30369])).
% 8.10/6.29 tff(30371,plain,
% 8.10/6.29 (~v86(constB149)),
% 8.10/6.29 inference(modus_ponens,[status(thm)],[21766, 30370])).
% 8.10/6.29 tff(30372,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB149) <=> (v136(constB149) | v145(constB149)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30373,plain,
% 8.10/6.29 (v135(constB149) <=> (v136(constB149) | v145(constB149))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30372, 21774])).
% 8.10/6.29 tff(30374,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB149) <=> (v137(constB149) | v142(constB149)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30375,plain,
% 8.10/6.29 (v136(constB149) <=> (v137(constB149) | v142(constB149))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30374, 21783])).
% 8.10/6.29 tff(30376,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB149) <=> (v143(constB149) | v144(constB149)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30377,plain,
% 8.10/6.29 (v142(constB149) <=> (v143(constB149) | v144(constB149))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30376, 21792])).
% 8.10/6.29 tff(30378,plain,
% 8.10/6.29 (((~![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)))))),
% 8.10/6.29 inference(rewrite,[status(thm)],[])).
% 8.10/6.29 tff(30379,plain,
% 8.10/6.29 ((v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1))))) <=> (v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))))),
% 8.10/6.29 inference(rewrite,[status(thm)],[])).
% 8.10/6.29 tff(30380,plain,
% 8.10/6.29 (((~![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)))))),
% 8.10/6.29 inference(monotonicity,[status(thm)],[30379])).
% 8.10/6.29 tff(30381,plain,
% 8.10/6.29 (((~![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)))))),
% 8.10/6.29 inference(transitivity,[status(thm)],[30380, 30378])).
% 8.10/6.29 tff(30382,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)))))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30383,plain,
% 8.10/6.29 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))))),
% 8.10/6.29 inference(modus_ponens,[status(thm)],[30382, 30381])).
% 8.10/6.29 tff(30384,plain,
% 8.10/6.29 (v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0)))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30383, 23745])).
% 8.10/6.29 tff(30385,plain,
% 8.10/6.29 ((~![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))))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30386,plain,
% 8.10/6.29 (~(((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)) | ((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)) | ((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0)))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30385, 416])).
% 8.10/6.29 tff(30387,plain,
% 8.10/6.29 ((((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)) | ((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)) | ((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0))) | (~((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30388,plain,
% 8.10/6.29 (~((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30387, 30386])).
% 8.10/6.29 tff(30389,plain,
% 8.10/6.29 (((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)) | (~v88(constB149, bitIndex2)) | v90(constB149, bitIndex2)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30390,plain,
% 8.10/6.29 (~v88(constB149, bitIndex2)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30389, 18617, 30388])).
% 8.10/6.29 tff(30391,plain,
% 8.10/6.29 ((((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)) | ((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)) | ((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0))) | (~((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30392,plain,
% 8.10/6.29 (~((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30391, 30386])).
% 8.10/6.29 tff(30393,plain,
% 8.10/6.29 (((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0)) | (~v88(constB149, bitIndex0)) | v90(constB149, bitIndex0)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30394,plain,
% 8.10/6.29 (~v88(constB149, bitIndex0)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30393, 18635, 30392])).
% 8.10/6.29 tff(30395,plain,
% 8.10/6.29 ((((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)) | ((~v88(constB149, bitIndex2)) <=> v90(constB149, bitIndex2)) | ((~v88(constB149, bitIndex0)) <=> v90(constB149, bitIndex0))) | (~((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30396,plain,
% 8.10/6.29 (~((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30395, 30386])).
% 8.10/6.29 tff(30397,plain,
% 8.10/6.29 (((~v88(constB149, bitIndex1)) <=> v90(constB149, bitIndex1)) | v88(constB149, bitIndex1) | (~v90(constB149, bitIndex1))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30398,plain,
% 8.10/6.29 (v88(constB149, bitIndex1)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30397, 18653, 30396])).
% 8.10/6.29 tff(30399,plain,
% 8.10/6.29 ((~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0)),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30400,plain,
% 8.10/6.29 (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30399, 30398, 30394, 30390])).
% 8.10/6.29 tff(30401,plain,
% 8.10/6.29 ((~(v143(constB149) <=> (~((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))))) | v143(constB149) | ((~v88(constB149, bitIndex1)) | v88(constB149, bitIndex2) | v88(constB149, bitIndex0))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30402,plain,
% 8.10/6.29 (v143(constB149)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30401, 30400, 30384])).
% 8.10/6.29 tff(30403,plain,
% 8.10/6.29 ((v143(constB149) | v144(constB149)) | (~v143(constB149))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30404,plain,
% 8.10/6.29 (v143(constB149) | v144(constB149)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30403, 30402])).
% 8.10/6.29 tff(30405,plain,
% 8.10/6.29 ((~(v142(constB149) <=> (v143(constB149) | v144(constB149)))) | v142(constB149) | (~(v143(constB149) | v144(constB149)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30406,plain,
% 8.10/6.29 (v142(constB149)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30405, 30404, 30377])).
% 8.10/6.29 tff(30407,plain,
% 8.10/6.29 ((v137(constB149) | v142(constB149)) | (~v142(constB149))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30408,plain,
% 8.10/6.29 (v137(constB149) | v142(constB149)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30407, 30406])).
% 8.10/6.29 tff(30409,plain,
% 8.10/6.29 ((~(v136(constB149) <=> (v137(constB149) | v142(constB149)))) | v136(constB149) | (~(v137(constB149) | v142(constB149)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30410,plain,
% 8.10/6.29 ((~(v136(constB149) <=> (v137(constB149) | v142(constB149)))) | v136(constB149)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30409, 30408])).
% 8.10/6.29 tff(30411,plain,
% 8.10/6.29 (v136(constB149)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30410, 30375])).
% 8.10/6.29 tff(30412,plain,
% 8.10/6.29 ((v136(constB149) | v145(constB149)) | (~v136(constB149))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30413,plain,
% 8.10/6.29 (v136(constB149) | v145(constB149)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30412, 30411])).
% 8.10/6.29 tff(30414,plain,
% 8.10/6.29 ((~(v135(constB149) <=> (v136(constB149) | v145(constB149)))) | v135(constB149) | (~(v136(constB149) | v145(constB149)))),
% 8.10/6.29 inference(tautology,[status(thm)],[])).
% 8.10/6.29 tff(30415,plain,
% 8.10/6.29 (v135(constB149)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30414, 30413, 30373])).
% 8.10/6.29 tff(30416,plain,
% 8.10/6.29 (((~![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)))),
% 8.10/6.29 inference(rewrite,[status(thm)],[])).
% 8.10/6.29 tff(30417,plain,
% 8.10/6.29 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB149)) | (v86(constB149) <=> v148(constB149)))),
% 8.10/6.29 inference(quant_inst,[status(thm)],[])).
% 8.10/6.29 tff(30418,plain,
% 8.10/6.29 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB149)) | (v86(constB149) <=> v148(constB149))),
% 8.10/6.29 inference(modus_ponens,[status(thm)],[30417, 30416])).
% 8.10/6.29 tff(30419,plain,
% 8.10/6.29 (v86(constB149) <=> v148(constB149)),
% 8.10/6.29 inference(unit_resolution,[status(thm)],[30418, 21855, 30415])).
% 8.10/6.29 tff(30420,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB149) | (~v142(constB149)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB149) | (~v142(constB149)))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30421,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB149) | (~v142(constB149)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30422,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB149) | (~v142(constB149))),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30421, 30420])).
% 8.10/6.30 tff(30423,plain,
% 8.10/6.30 (v148(constB149)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30422, 21869, 30406])).
% 8.10/6.30 tff(30424,plain,
% 8.10/6.30 ((~(v86(constB149) <=> v148(constB149))) | v86(constB149) | (~v148(constB149))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30425,plain,
% 8.10/6.30 ((~(v86(constB149) <=> v148(constB149))) | v86(constB149)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30424, 30423])).
% 8.10/6.30 tff(30426,plain,
% 8.10/6.30 (v86(constB149)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30425, 30419])).
% 8.10/6.30 tff(30427,plain,
% 8.10/6.30 ($false),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30426, 30371])).
% 8.10/6.30 tff(30428,plain,(~(constB149 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.30 tff(30429,assumption,(constB37 = VarCurr!0), introduced(assumption)).
% 8.10/6.30 tff(30430,plain,
% 8.10/6.30 (v86(constB37) <=> v86(VarCurr!0)),
% 8.10/6.30 inference(monotonicity,[status(thm)],[30429])).
% 8.10/6.30 tff(30431,plain,
% 8.10/6.30 (v86(VarCurr!0) <=> v86(constB37)),
% 8.10/6.30 inference(symmetry,[status(thm)],[30430])).
% 8.10/6.30 tff(30432,plain,
% 8.10/6.30 ((~v86(VarCurr!0)) <=> (~v86(constB37))),
% 8.10/6.30 inference(monotonicity,[status(thm)],[30431])).
% 8.10/6.30 tff(30433,plain,
% 8.10/6.30 (~v86(constB37)),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[21766, 30432])).
% 8.10/6.30 tff(30434,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB37) <=> (v136(constB37) | v145(constB37)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30435,plain,
% 8.10/6.30 (v135(constB37) <=> (v136(constB37) | v145(constB37))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30434, 21774])).
% 8.10/6.30 tff(30436,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB37) <=> (v137(constB37) | v142(constB37)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30437,plain,
% 8.10/6.30 (v136(constB37) <=> (v137(constB37) | v142(constB37))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30436, 21783])).
% 8.10/6.30 tff(30438,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB37) <=> (v143(constB37) | v144(constB37)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30439,plain,
% 8.10/6.30 (v142(constB37) <=> (v143(constB37) | v144(constB37))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30438, 21792])).
% 8.10/6.30 tff(30440,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0)))))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30441,plain,
% 8.10/6.30 ((v144(constB37) <=> (~(v88(constB37, bitIndex0) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2))))) <=> (v144(constB37) <=> (~((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0))))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30442,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~(v88(constB37, bitIndex0) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0)))))),
% 8.10/6.30 inference(monotonicity,[status(thm)],[30441])).
% 8.10/6.30 tff(30443,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~(v88(constB37, bitIndex0) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0)))))),
% 8.10/6.30 inference(transitivity,[status(thm)],[30442, 30440])).
% 8.10/6.30 tff(30444,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~(v88(constB37, bitIndex0) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)))))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30445,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB37) <=> (~((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0))))),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30444, 30443])).
% 8.10/6.30 tff(30446,plain,
% 8.10/6.30 (v144(constB37) <=> (~((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0)))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30445, 21807])).
% 8.10/6.30 tff(30447,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB37, bitIndex1)) <=> v90(constB37, bitIndex1)) | ((~v88(constB37, bitIndex2)) <=> v90(constB37, bitIndex2)) | ((~v88(constB37, bitIndex0)) <=> v90(constB37, bitIndex0))))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30448,plain,
% 8.10/6.30 (~(((~v88(constB37, bitIndex1)) <=> v90(constB37, bitIndex1)) | ((~v88(constB37, bitIndex2)) <=> v90(constB37, bitIndex2)) | ((~v88(constB37, bitIndex0)) <=> v90(constB37, bitIndex0)))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30447, 416])).
% 8.10/6.30 tff(30449,plain,
% 8.10/6.30 ((((~v88(constB37, bitIndex1)) <=> v90(constB37, bitIndex1)) | ((~v88(constB37, bitIndex2)) <=> v90(constB37, bitIndex2)) | ((~v88(constB37, bitIndex0)) <=> v90(constB37, bitIndex0))) | (~((~v88(constB37, bitIndex2)) <=> v90(constB37, bitIndex2)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30450,plain,
% 8.10/6.30 (~((~v88(constB37, bitIndex2)) <=> v90(constB37, bitIndex2))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30449, 30448])).
% 8.10/6.30 tff(30451,plain,
% 8.10/6.30 (((~v88(constB37, bitIndex2)) <=> v90(constB37, bitIndex2)) | v88(constB37, bitIndex2) | (~v90(constB37, bitIndex2))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30452,plain,
% 8.10/6.30 (v88(constB37, bitIndex2)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30451, 6868, 30450])).
% 8.10/6.30 tff(30453,plain,
% 8.10/6.30 ((((~v88(constB37, bitIndex1)) <=> v90(constB37, bitIndex1)) | ((~v88(constB37, bitIndex2)) <=> v90(constB37, bitIndex2)) | ((~v88(constB37, bitIndex0)) <=> v90(constB37, bitIndex0))) | (~((~v88(constB37, bitIndex0)) <=> v90(constB37, bitIndex0)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30454,plain,
% 8.10/6.30 (~((~v88(constB37, bitIndex0)) <=> v90(constB37, bitIndex0))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30453, 30448])).
% 8.10/6.30 tff(30455,plain,
% 8.10/6.30 (((~v88(constB37, bitIndex0)) <=> v90(constB37, bitIndex0)) | (~v88(constB37, bitIndex0)) | v90(constB37, bitIndex0)),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30456,plain,
% 8.10/6.30 (~v88(constB37, bitIndex0)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30455, 7019, 30454])).
% 8.10/6.30 tff(30457,plain,
% 8.10/6.30 ((((~v88(constB37, bitIndex1)) <=> v90(constB37, bitIndex1)) | ((~v88(constB37, bitIndex2)) <=> v90(constB37, bitIndex2)) | ((~v88(constB37, bitIndex0)) <=> v90(constB37, bitIndex0))) | (~((~v88(constB37, bitIndex1)) <=> v90(constB37, bitIndex1)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30458,plain,
% 8.10/6.30 (~((~v88(constB37, bitIndex1)) <=> v90(constB37, bitIndex1))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30457, 30448])).
% 8.10/6.30 tff(30459,plain,
% 8.10/6.30 (((~v88(constB37, bitIndex1)) <=> v90(constB37, bitIndex1)) | v88(constB37, bitIndex1) | (~v90(constB37, bitIndex1))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30460,plain,
% 8.10/6.30 (v88(constB37, bitIndex1)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30459, 6897, 30458])).
% 8.10/6.30 tff(30461,plain,
% 8.10/6.30 ((~((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0))) | (~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0)),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30462,plain,
% 8.10/6.30 (~((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30461, 30460, 30456, 30452])).
% 8.10/6.30 tff(30463,plain,
% 8.10/6.30 ((~(v144(constB37) <=> (~((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0))))) | v144(constB37) | ((~v88(constB37, bitIndex1)) | (~v88(constB37, bitIndex2)) | v88(constB37, bitIndex0))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30464,plain,
% 8.10/6.30 (v144(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30463, 30462, 30446])).
% 8.10/6.30 tff(30465,plain,
% 8.10/6.30 ((v143(constB37) | v144(constB37)) | (~v144(constB37))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30466,plain,
% 8.10/6.30 (v143(constB37) | v144(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30465, 30464])).
% 8.10/6.30 tff(30467,plain,
% 8.10/6.30 ((~(v142(constB37) <=> (v143(constB37) | v144(constB37)))) | v142(constB37) | (~(v143(constB37) | v144(constB37)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30468,plain,
% 8.10/6.30 (v142(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30467, 30466, 30439])).
% 8.10/6.30 tff(30469,plain,
% 8.10/6.30 ((v137(constB37) | v142(constB37)) | (~v142(constB37))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30470,plain,
% 8.10/6.30 (v137(constB37) | v142(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30469, 30468])).
% 8.10/6.30 tff(30471,plain,
% 8.10/6.30 ((~(v136(constB37) <=> (v137(constB37) | v142(constB37)))) | v136(constB37) | (~(v137(constB37) | v142(constB37)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30472,plain,
% 8.10/6.30 ((~(v136(constB37) <=> (v137(constB37) | v142(constB37)))) | v136(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30471, 30470])).
% 8.10/6.30 tff(30473,plain,
% 8.10/6.30 (v136(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30472, 30437])).
% 8.10/6.30 tff(30474,plain,
% 8.10/6.30 ((v136(constB37) | v145(constB37)) | (~v136(constB37))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30475,plain,
% 8.10/6.30 (v136(constB37) | v145(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30474, 30473])).
% 8.10/6.30 tff(30476,plain,
% 8.10/6.30 ((~(v135(constB37) <=> (v136(constB37) | v145(constB37)))) | v135(constB37) | (~(v136(constB37) | v145(constB37)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30477,plain,
% 8.10/6.30 (v135(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30476, 30475, 30435])).
% 8.10/6.30 tff(30478,plain,
% 8.10/6.30 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB37)) | (v86(constB37) <=> v148(constB37)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB37)) | (v86(constB37) <=> v148(constB37)))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30479,plain,
% 8.10/6.30 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB37)) | (v86(constB37) <=> v148(constB37)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30480,plain,
% 8.10/6.30 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB37)) | (v86(constB37) <=> v148(constB37))),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30479, 30478])).
% 8.10/6.30 tff(30481,plain,
% 8.10/6.30 (v86(constB37) <=> v148(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30480, 21855, 30477])).
% 8.10/6.30 tff(30482,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB37) | (~v142(constB37)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB37) | (~v142(constB37)))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30483,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB37) | (~v142(constB37)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30484,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB37) | (~v142(constB37))),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30483, 30482])).
% 8.10/6.30 tff(30485,plain,
% 8.10/6.30 (v148(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30484, 21869, 30468])).
% 8.10/6.30 tff(30486,plain,
% 8.10/6.30 ((~(v86(constB37) <=> v148(constB37))) | v86(constB37) | (~v148(constB37))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30487,plain,
% 8.10/6.30 ((~(v86(constB37) <=> v148(constB37))) | v86(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30486, 30485])).
% 8.10/6.30 tff(30488,plain,
% 8.10/6.30 (v86(constB37)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30487, 30481])).
% 8.10/6.30 tff(30489,plain,
% 8.10/6.30 ($false),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30488, 30433])).
% 8.10/6.30 tff(30490,plain,(~(constB37 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.30 tff(30491,assumption,(constB181 = VarCurr!0), introduced(assumption)).
% 8.10/6.30 tff(30492,plain,
% 8.10/6.30 (v86(constB181) <=> v86(VarCurr!0)),
% 8.10/6.30 inference(monotonicity,[status(thm)],[30491])).
% 8.10/6.30 tff(30493,plain,
% 8.10/6.30 (v86(VarCurr!0) <=> v86(constB181)),
% 8.10/6.30 inference(symmetry,[status(thm)],[30492])).
% 8.10/6.30 tff(30494,plain,
% 8.10/6.30 ((~v86(VarCurr!0)) <=> (~v86(constB181))),
% 8.10/6.30 inference(monotonicity,[status(thm)],[30493])).
% 8.10/6.30 tff(30495,plain,
% 8.10/6.30 (~v86(constB181)),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[21766, 30494])).
% 8.10/6.30 tff(30496,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB181) <=> (v136(constB181) | v145(constB181)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30497,plain,
% 8.10/6.30 (v135(constB181) <=> (v136(constB181) | v145(constB181))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30496, 21774])).
% 8.10/6.30 tff(30498,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB181) <=> (v137(constB181) | v142(constB181)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30499,plain,
% 8.10/6.30 (v136(constB181) <=> (v137(constB181) | v142(constB181))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30498, 21783])).
% 8.10/6.30 tff(30500,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB181) <=> (v143(constB181) | v144(constB181)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30501,plain,
% 8.10/6.30 (v142(constB181) <=> (v143(constB181) | v144(constB181))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30500, 21792])).
% 8.10/6.30 tff(30502,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~((~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~((~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0)))))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30503,plain,
% 8.10/6.30 ((v144(constB181) <=> (~(v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2))))) <=> (v144(constB181) <=> (~((~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0))))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30504,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~(v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~((~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0)))))),
% 8.10/6.30 inference(monotonicity,[status(thm)],[30503])).
% 8.10/6.30 tff(30505,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~(v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~((~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0)))))),
% 8.10/6.30 inference(transitivity,[status(thm)],[30504, 30502])).
% 8.10/6.30 tff(30506,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~(v88(constB181, bitIndex0) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)))))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30507,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB181) <=> (~((~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0))))),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30506, 30505])).
% 8.10/6.30 tff(30508,plain,
% 8.10/6.30 (v144(constB181) <=> (~((~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0)))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30507, 21807])).
% 8.10/6.30 tff(30509,plain,
% 8.10/6.30 ((~![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))))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30510,plain,
% 8.10/6.30 (~(((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)) | ((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)) | ((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0)))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30509, 416])).
% 8.10/6.30 tff(30511,plain,
% 8.10/6.30 ((((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)) | ((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)) | ((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0))) | (~((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30512,plain,
% 8.10/6.30 (~((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30511, 30510])).
% 8.10/6.30 tff(30513,plain,
% 8.10/6.30 (((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)) | v88(constB181, bitIndex2) | (~v90(constB181, bitIndex2))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30514,plain,
% 8.10/6.30 (v88(constB181, bitIndex2)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30513, 21068, 30512])).
% 8.10/6.30 tff(30515,plain,
% 8.10/6.30 ((((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)) | ((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)) | ((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0))) | (~((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30516,plain,
% 8.10/6.30 (~((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30515, 30510])).
% 8.10/6.30 tff(30517,plain,
% 8.10/6.30 (((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0)) | (~v88(constB181, bitIndex0)) | v90(constB181, bitIndex0)),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30518,plain,
% 8.10/6.30 (~v88(constB181, bitIndex0)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30517, 21219, 30516])).
% 8.10/6.30 tff(30519,plain,
% 8.10/6.30 ((((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)) | ((~v88(constB181, bitIndex2)) <=> v90(constB181, bitIndex2)) | ((~v88(constB181, bitIndex0)) <=> v90(constB181, bitIndex0))) | (~((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30520,plain,
% 8.10/6.30 (~((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30519, 30510])).
% 8.10/6.30 tff(30521,plain,
% 8.10/6.30 (((~v88(constB181, bitIndex1)) <=> v90(constB181, bitIndex1)) | v88(constB181, bitIndex1) | (~v90(constB181, bitIndex1))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30522,plain,
% 8.10/6.30 (v88(constB181, bitIndex1)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30521, 21097, 30520])).
% 8.10/6.30 tff(30523,plain,
% 8.10/6.30 ((~((~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0))) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0)),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30524,plain,
% 8.10/6.30 (~((~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30523, 30522, 30518, 30514])).
% 8.10/6.30 tff(30525,plain,
% 8.10/6.30 ((~(v144(constB181) <=> (~((~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0))))) | v144(constB181) | ((~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex2)) | v88(constB181, bitIndex0))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30526,plain,
% 8.10/6.30 (v144(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30525, 30524, 30508])).
% 8.10/6.30 tff(30527,plain,
% 8.10/6.30 ((v143(constB181) | v144(constB181)) | (~v144(constB181))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30528,plain,
% 8.10/6.30 (v143(constB181) | v144(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30527, 30526])).
% 8.10/6.30 tff(30529,plain,
% 8.10/6.30 ((~(v142(constB181) <=> (v143(constB181) | v144(constB181)))) | v142(constB181) | (~(v143(constB181) | v144(constB181)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30530,plain,
% 8.10/6.30 (v142(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30529, 30528, 30501])).
% 8.10/6.30 tff(30531,plain,
% 8.10/6.30 ((v137(constB181) | v142(constB181)) | (~v142(constB181))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30532,plain,
% 8.10/6.30 (v137(constB181) | v142(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30531, 30530])).
% 8.10/6.30 tff(30533,plain,
% 8.10/6.30 ((~(v136(constB181) <=> (v137(constB181) | v142(constB181)))) | v136(constB181) | (~(v137(constB181) | v142(constB181)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30534,plain,
% 8.10/6.30 ((~(v136(constB181) <=> (v137(constB181) | v142(constB181)))) | v136(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30533, 30532])).
% 8.10/6.30 tff(30535,plain,
% 8.10/6.30 (v136(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30534, 30499])).
% 8.10/6.30 tff(30536,plain,
% 8.10/6.30 ((v136(constB181) | v145(constB181)) | (~v136(constB181))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30537,plain,
% 8.10/6.30 (v136(constB181) | v145(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30536, 30535])).
% 8.10/6.30 tff(30538,plain,
% 8.10/6.30 ((~(v135(constB181) <=> (v136(constB181) | v145(constB181)))) | v135(constB181) | (~(v136(constB181) | v145(constB181)))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30539,plain,
% 8.10/6.30 (v135(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30538, 30537, 30497])).
% 8.10/6.30 tff(30540,plain,
% 8.10/6.30 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB181)) | (v86(constB181) <=> v148(constB181)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB181)) | (v86(constB181) <=> v148(constB181)))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30541,plain,
% 8.10/6.30 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB181)) | (v86(constB181) <=> v148(constB181)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30542,plain,
% 8.10/6.30 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB181)) | (v86(constB181) <=> v148(constB181))),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30541, 30540])).
% 8.10/6.30 tff(30543,plain,
% 8.10/6.30 (v86(constB181) <=> v148(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30542, 21855, 30539])).
% 8.10/6.30 tff(30544,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB181) | (~v142(constB181)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB181) | (~v142(constB181)))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30545,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB181) | (~v142(constB181)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30546,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB181) | (~v142(constB181))),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30545, 30544])).
% 8.10/6.30 tff(30547,plain,
% 8.10/6.30 (v148(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30546, 21869, 30530])).
% 8.10/6.30 tff(30548,plain,
% 8.10/6.30 ((~(v86(constB181) <=> v148(constB181))) | v86(constB181) | (~v148(constB181))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30549,plain,
% 8.10/6.30 ((~(v86(constB181) <=> v148(constB181))) | v86(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30548, 30547])).
% 8.10/6.30 tff(30550,plain,
% 8.10/6.30 (v86(constB181)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30549, 30543])).
% 8.10/6.30 tff(30551,plain,
% 8.10/6.30 ($false),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30550, 30495])).
% 8.10/6.30 tff(30552,plain,(~(constB181 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.10/6.30 tff(30553,assumption,(constB199 = VarCurr!0), introduced(assumption)).
% 8.10/6.30 tff(30554,plain,
% 8.10/6.30 (v180(constB199) <=> v180(VarCurr!0)),
% 8.10/6.30 inference(monotonicity,[status(thm)],[30553])).
% 8.10/6.30 tff(30555,plain,
% 8.10/6.30 (v180(VarCurr!0) <=> v180(constB199)),
% 8.10/6.30 inference(symmetry,[status(thm)],[30554])).
% 8.10/6.30 tff(30556,plain,
% 8.10/6.30 (v180(constB199)),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[59, 30555])).
% 8.10/6.30 tff(30557,plain,
% 8.10/6.30 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30558,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_198')).
% 8.10/6.30 tff(30559,plain,
% 8.10/6.30 (nextState(constB198, constB199)),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30558, 30557])).
% 8.10/6.30 tff(30560,plain,
% 8.10/6.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB198, constB199)) | (v180(constB199) <=> v178(constB198)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB198, constB199)) | (v180(constB199) <=> v178(constB198)))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30561,plain,
% 8.10/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB198, constB199)) | (v180(constB199) <=> v178(constB198)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30562,plain,
% 8.10/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB198, constB199)) | (v180(constB199) <=> v178(constB198))),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30561, 30560])).
% 8.10/6.30 tff(30563,plain,
% 8.10/6.30 (v180(constB199) <=> v178(constB198)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30562, 30559, 70])).
% 8.10/6.30 tff(30564,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB198) <=> (v181(constB198) | v185(constB198)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30565,plain,
% 8.10/6.30 (v178(constB198) <=> (v181(constB198) | v185(constB198))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30564, 84])).
% 8.10/6.30 tff(30566,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB198) <=> (~((~v186(constB198)) | (~v187(constB198)))))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30567,plain,
% 8.10/6.30 (v185(constB198) <=> (~((~v186(constB198)) | (~v187(constB198))))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30566, 96])).
% 8.10/6.30 tff(30568,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB198) <=> (~((~v184(constB198)) | (~v159(constB198)))))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30569,plain,
% 8.10/6.30 (v187(constB198) <=> (~((~v184(constB198)) | (~v159(constB198))))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30568, 108])).
% 8.10/6.30 tff(30570,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30571,plain,
% 8.10/6.30 (v184(constB198) <=> (~((~v39(constB198)) | (~v9(constB198))))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30570, 120])).
% 8.10/6.30 tff(30572,plain,
% 8.10/6.30 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB198)) <=> v1(constB198))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30573,plain,
% 8.10/6.30 ((~v39(constB198)) <=> v1(constB198)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30572, 129])).
% 8.10/6.30 tff(30574,plain,
% 8.10/6.30 (v1(constB198) <=> v1(constB198)),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30575,axiom,(v1(constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_198')).
% 8.10/6.30 tff(30576,plain,
% 8.10/6.30 (v1(constB198)),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30575, 30574])).
% 8.10/6.30 tff(30577,plain,
% 8.10/6.30 ((~((~v39(constB198)) <=> v1(constB198))) | (~v39(constB198)) | (~v1(constB198))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30578,plain,
% 8.10/6.30 ((~((~v39(constB198)) <=> v1(constB198))) | (~v39(constB198))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30577, 30576])).
% 8.10/6.30 tff(30579,plain,
% 8.10/6.30 (~v39(constB198)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30578, 30573])).
% 8.10/6.30 tff(30580,plain,
% 8.10/6.30 (((~v39(constB198)) | (~v9(constB198))) | v39(constB198)),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30581,plain,
% 8.10/6.30 ((~v39(constB198)) | (~v9(constB198))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30580, 30579])).
% 8.10/6.30 tff(30582,plain,
% 8.10/6.30 ((~(v184(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))) | (~v184(constB198)) | (~((~v39(constB198)) | (~v9(constB198))))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30583,plain,
% 8.10/6.30 ((~(v184(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))) | (~v184(constB198))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30582, 30581])).
% 8.10/6.30 tff(30584,plain,
% 8.10/6.30 (~v184(constB198)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30583, 30571])).
% 8.10/6.30 tff(30585,plain,
% 8.10/6.30 (((~v184(constB198)) | (~v159(constB198))) | v184(constB198)),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30586,plain,
% 8.10/6.30 ((~v184(constB198)) | (~v159(constB198))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30585, 30584])).
% 8.10/6.30 tff(30587,plain,
% 8.10/6.30 ((~(v187(constB198) <=> (~((~v184(constB198)) | (~v159(constB198)))))) | (~v187(constB198)) | (~((~v184(constB198)) | (~v159(constB198))))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30588,plain,
% 8.10/6.30 ((~(v187(constB198) <=> (~((~v184(constB198)) | (~v159(constB198)))))) | (~v187(constB198))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30587, 30586])).
% 8.10/6.30 tff(30589,plain,
% 8.10/6.30 (~v187(constB198)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30588, 30569])).
% 8.10/6.30 tff(30590,plain,
% 8.10/6.30 (((~v186(constB198)) | (~v187(constB198))) | v187(constB198)),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30591,plain,
% 8.10/6.30 ((~v186(constB198)) | (~v187(constB198))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30590, 30589])).
% 8.10/6.30 tff(30592,plain,
% 8.10/6.30 ((~(v185(constB198) <=> (~((~v186(constB198)) | (~v187(constB198)))))) | (~v185(constB198)) | (~((~v186(constB198)) | (~v187(constB198))))),
% 8.10/6.30 inference(tautology,[status(thm)],[])).
% 8.10/6.30 tff(30593,plain,
% 8.10/6.30 (~v185(constB198)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30592, 30591, 30567])).
% 8.10/6.30 tff(30594,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198))))))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30595,plain,
% 8.10/6.30 ((v181(constB198) <=> (~((~v182(constB198)) | (~v157(constB198))))) <=> (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198)))))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30596,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v182(constB198)) | (~v157(constB198)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198))))))),
% 8.10/6.30 inference(monotonicity,[status(thm)],[30595])).
% 8.10/6.30 tff(30597,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v182(constB198)) | (~v157(constB198)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198))))))),
% 8.10/6.30 inference(transitivity,[status(thm)],[30596, 30594])).
% 8.10/6.30 tff(30598,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v182(constB198)) | (~v157(constB198)))))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30599,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198)))))),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30598, 30597])).
% 8.10/6.30 tff(30600,plain,
% 8.10/6.30 (v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198))))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30599, 161])).
% 8.10/6.30 tff(30601,plain,
% 8.10/6.30 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB198) <=> v180(constB198))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30602,plain,
% 8.10/6.30 (v157(constB198) <=> v180(constB198)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30601, 13])).
% 8.10/6.30 tff(30603,plain,
% 8.10/6.30 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30604,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_197')).
% 8.10/6.30 tff(30605,plain,
% 8.10/6.30 (nextState(constB197, constB198)),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30604, 30603])).
% 8.10/6.30 tff(30606,plain,
% 8.10/6.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB197, constB198)) | (v180(constB198) <=> v178(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB197, constB198)) | (v180(constB198) <=> v178(constB197)))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30607,plain,
% 8.10/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB197, constB198)) | (v180(constB198) <=> v178(constB197)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30608,plain,
% 8.10/6.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB197, constB198)) | (v180(constB198) <=> v178(constB197))),
% 8.10/6.30 inference(modus_ponens,[status(thm)],[30607, 30606])).
% 8.10/6.30 tff(30609,plain,
% 8.10/6.30 (v180(constB198) <=> v178(constB197)),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30608, 30605, 70])).
% 8.10/6.30 tff(30610,plain,
% 8.10/6.30 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB197) <=> (v181(constB197) | v185(constB197)))),
% 8.10/6.30 inference(quant_inst,[status(thm)],[])).
% 8.10/6.30 tff(30611,plain,
% 8.10/6.30 (v178(constB197) <=> (v181(constB197) | v185(constB197))),
% 8.10/6.30 inference(unit_resolution,[status(thm)],[30610, 84])).
% 8.10/6.30 tff(30612,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197))))))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30613,plain,
% 8.10/6.30 ((v181(constB197) <=> (~((~v182(constB197)) | (~v157(constB197))))) <=> (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197)))))),
% 8.10/6.30 inference(rewrite,[status(thm)],[])).
% 8.10/6.30 tff(30614,plain,
% 8.10/6.30 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v182(constB197)) | (~v157(constB197)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197))))))),
% 8.10/6.30 inference(monotonicity,[status(thm)],[30613])).
% 8.10/6.30 tff(30615,plain,
% 8.10/6.31 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v182(constB197)) | (~v157(constB197)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197))))))),
% 8.10/6.31 inference(transitivity,[status(thm)],[30614, 30612])).
% 8.10/6.31 tff(30616,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v182(constB197)) | (~v157(constB197)))))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30617,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197)))))),
% 8.10/6.31 inference(modus_ponens,[status(thm)],[30616, 30615])).
% 8.10/6.31 tff(30618,plain,
% 8.10/6.31 (v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197))))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30617, 161])).
% 8.10/6.31 tff(30619,plain,
% 8.10/6.31 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB197)) <=> v183(constB197))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30620,plain,
% 8.10/6.31 ((~v182(constB197)) <=> v183(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30619, 193])).
% 8.10/6.31 tff(30621,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB197) <=> (v184(constB197) | v26(constB197)))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30622,plain,
% 8.10/6.31 (v183(constB197) <=> (v184(constB197) | v26(constB197))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30621, 202])).
% 8.10/6.31 tff(30623,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB197) <=> (~((~v39(constB197)) | (~v9(constB197)))))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30624,plain,
% 8.10/6.31 (v184(constB197) <=> (~((~v39(constB197)) | (~v9(constB197))))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30623, 120])).
% 8.10/6.31 tff(30625,plain,
% 8.10/6.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197)))),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30626,plain,
% 8.10/6.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197)))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30627,plain,
% 8.10/6.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197))),
% 8.10/6.31 inference(modus_ponens,[status(thm)],[30626, 30625])).
% 8.10/6.31 tff(30628,plain,
% 8.10/6.31 (v13(constB198) <=> v9(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30627, 30605, 216])).
% 8.10/6.31 tff(30629,plain,
% 8.10/6.31 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB198) <=> v13(constB198))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30630,plain,
% 8.10/6.31 (v6(constB198) <=> v13(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30629, 230])).
% 8.10/6.31 tff(30631,plain,
% 8.10/6.31 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB198)) <=> v6(constB198))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30632,plain,
% 8.10/6.31 ((~v21(constB198)) <=> v6(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30631, 239])).
% 8.10/6.31 tff(30633,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB198) <=> (v20(constB198) | v21(constB198)))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30634,plain,
% 8.10/6.31 (v19(constB198) <=> (v20(constB198) | v21(constB198))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30633, 248])).
% 8.10/6.31 tff(30635,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198)))))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30636,plain,
% 8.10/6.31 (v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198))))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30635, 260])).
% 8.10/6.31 tff(30637,plain,
% 8.10/6.31 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB198)) <=> v18(constB198))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30638,plain,
% 8.10/6.31 ((~v4(constB198)) <=> v18(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30637, 269])).
% 8.10/6.31 tff(30639,plain,
% 8.10/6.31 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB198)),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30640,plain,
% 8.10/6.31 (v4(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30639, 278])).
% 8.10/6.31 tff(30641,plain,
% 8.10/6.31 ((~((~v4(constB198)) <=> v18(constB198))) | (~v4(constB198)) | (~v18(constB198))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30642,plain,
% 8.10/6.31 (~v18(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30641, 30640, 30638])).
% 8.10/6.31 tff(30643,plain,
% 8.10/6.31 ((~(v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198)))))) | v18(constB198) | ((~v19(constB198)) | (~v22(constB198)))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30644,plain,
% 8.10/6.31 ((~v19(constB198)) | (~v22(constB198))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30643, 30642, 30636])).
% 8.10/6.31 tff(30645,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB198) <=> (v1(constB198) | v6(constB198)))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30646,plain,
% 8.10/6.31 (v22(constB198) <=> (v1(constB198) | v6(constB198))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30645, 291])).
% 8.10/6.31 tff(30647,plain,
% 8.10/6.31 ((v1(constB198) | v6(constB198)) | (~v1(constB198))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30648,plain,
% 8.10/6.31 (v1(constB198) | v6(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30647, 30576])).
% 8.10/6.31 tff(30649,plain,
% 8.10/6.31 ((~(v22(constB198) <=> (v1(constB198) | v6(constB198)))) | v22(constB198) | (~(v1(constB198) | v6(constB198)))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30650,plain,
% 8.10/6.31 ((~(v22(constB198) <=> (v1(constB198) | v6(constB198)))) | v22(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30649, 30648])).
% 8.10/6.31 tff(30651,plain,
% 8.10/6.31 (v22(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30650, 30646])).
% 8.10/6.31 tff(30652,plain,
% 8.10/6.31 ((~((~v19(constB198)) | (~v22(constB198)))) | (~v19(constB198)) | (~v22(constB198))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30653,plain,
% 8.10/6.31 ((~((~v19(constB198)) | (~v22(constB198)))) | (~v19(constB198))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30652, 30651])).
% 8.10/6.31 tff(30654,plain,
% 8.10/6.31 (~v19(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30653, 30644])).
% 8.10/6.31 tff(30655,plain,
% 8.10/6.31 ((~(v19(constB198) <=> (v20(constB198) | v21(constB198)))) | v19(constB198) | (~(v20(constB198) | v21(constB198)))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30656,plain,
% 8.10/6.31 (~(v20(constB198) | v21(constB198))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30655, 30654, 30634])).
% 8.10/6.31 tff(30657,plain,
% 8.10/6.31 ((v20(constB198) | v21(constB198)) | (~v21(constB198))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30658,plain,
% 8.10/6.31 (~v21(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30657, 30656])).
% 8.10/6.31 tff(30659,plain,
% 8.10/6.31 ((~((~v21(constB198)) <=> v6(constB198))) | v21(constB198) | v6(constB198)),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30660,plain,
% 8.10/6.31 (v6(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30659, 30658, 30632])).
% 8.10/6.31 tff(30661,plain,
% 8.10/6.31 ((~(v6(constB198) <=> v13(constB198))) | (~v6(constB198)) | v13(constB198)),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30662,plain,
% 8.10/6.31 (v13(constB198)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30661, 30660, 30630])).
% 8.10/6.31 tff(30663,plain,
% 8.10/6.31 ((~(v13(constB198) <=> v9(constB197))) | (~v13(constB198)) | v9(constB197)),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30664,plain,
% 8.10/6.31 (v9(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30663, 30662, 30628])).
% 8.10/6.31 tff(30665,plain,
% 8.10/6.31 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB197)) <=> v1(constB197))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30666,plain,
% 8.10/6.31 ((~v39(constB197)) <=> v1(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30665, 129])).
% 8.10/6.31 tff(30667,plain,
% 8.10/6.31 ((~v1(constB197)) <=> (~v1(constB197))),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30668,axiom,(~v1(constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_197')).
% 8.10/6.31 tff(30669,plain,
% 8.10/6.31 (~v1(constB197)),
% 8.10/6.31 inference(modus_ponens,[status(thm)],[30668, 30667])).
% 8.10/6.31 tff(30670,plain,
% 8.10/6.31 ((~((~v39(constB197)) <=> v1(constB197))) | v39(constB197) | v1(constB197)),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30671,plain,
% 8.10/6.31 ((~((~v39(constB197)) <=> v1(constB197))) | v39(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30670, 30669])).
% 8.10/6.31 tff(30672,plain,
% 8.10/6.31 (v39(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30671, 30666])).
% 8.10/6.31 tff(30673,plain,
% 8.10/6.31 ((~((~v39(constB197)) | (~v9(constB197)))) | (~v39(constB197)) | (~v9(constB197))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30674,plain,
% 8.10/6.31 ((~((~v39(constB197)) | (~v9(constB197)))) | (~v9(constB197))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30673, 30672])).
% 8.10/6.31 tff(30675,plain,
% 8.10/6.31 (~((~v39(constB197)) | (~v9(constB197)))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30674, 30664])).
% 8.10/6.31 tff(30676,plain,
% 8.10/6.31 ((~(v184(constB197) <=> (~((~v39(constB197)) | (~v9(constB197)))))) | v184(constB197) | ((~v39(constB197)) | (~v9(constB197)))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30677,plain,
% 8.10/6.31 (v184(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30676, 30675, 30624])).
% 8.10/6.31 tff(30678,plain,
% 8.10/6.31 ((v184(constB197) | v26(constB197)) | (~v184(constB197))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30679,plain,
% 8.10/6.31 (v184(constB197) | v26(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30678, 30677])).
% 8.10/6.31 tff(30680,plain,
% 8.10/6.31 ((~(v183(constB197) <=> (v184(constB197) | v26(constB197)))) | v183(constB197) | (~(v184(constB197) | v26(constB197)))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30681,plain,
% 8.10/6.31 (v183(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30680, 30679, 30622])).
% 8.10/6.31 tff(30682,plain,
% 8.10/6.31 ((~((~v182(constB197)) <=> v183(constB197))) | (~v182(constB197)) | (~v183(constB197))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30683,plain,
% 8.10/6.31 (~v182(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30682, 30681, 30620])).
% 8.10/6.31 tff(30684,plain,
% 8.10/6.31 (((~v157(constB197)) | (~v182(constB197))) | v182(constB197)),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30685,plain,
% 8.10/6.31 ((~v157(constB197)) | (~v182(constB197))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30684, 30683])).
% 8.10/6.31 tff(30686,plain,
% 8.10/6.31 ((~(v181(constB197) <=> (~((~v157(constB197)) | (~v182(constB197)))))) | (~v181(constB197)) | (~((~v157(constB197)) | (~v182(constB197))))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30687,plain,
% 8.10/6.31 (~v181(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30686, 30685, 30618])).
% 8.10/6.31 tff(30688,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB197) <=> (~((~v186(constB197)) | (~v187(constB197)))))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30689,plain,
% 8.10/6.31 (v185(constB197) <=> (~((~v186(constB197)) | (~v187(constB197))))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30688, 96])).
% 8.10/6.31 tff(30690,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB197) <=> (~((~v184(constB197)) | (~v159(constB197)))))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30691,plain,
% 8.10/6.31 (v187(constB197) <=> (~((~v184(constB197)) | (~v159(constB197))))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30690, 108])).
% 8.10/6.31 tff(30692,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB197) <=> v161(constB197))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30693,plain,
% 8.10/6.31 (v159(constB197) <=> v161(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30692, 345])).
% 8.10/6.31 tff(30694,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB197) <=> (v145(constB197) | v165(constB197)))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30695,plain,
% 8.10/6.31 (v164(constB197) <=> (v145(constB197) | v165(constB197))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30694, 357])).
% 8.10/6.31 tff(30696,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB197) <=> (v142(constB197) | v166(constB197)))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30697,plain,
% 8.10/6.31 (v165(constB197) <=> (v142(constB197) | v166(constB197))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30696, 369])).
% 8.10/6.31 tff(30698,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB197) <=> (v143(constB197) | v144(constB197)))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30699,plain,
% 8.10/6.31 (v142(constB197) <=> (v143(constB197) | v144(constB197))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30698, 21792])).
% 8.10/6.31 tff(30700,plain,
% 8.10/6.31 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0)))))),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30701,plain,
% 8.10/6.31 ((v143(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1))))) <=> (v143(constB197) <=> (~((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0))))),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30702,plain,
% 8.10/6.31 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0)))))),
% 8.10/6.31 inference(monotonicity,[status(thm)],[30701])).
% 8.10/6.31 tff(30703,plain,
% 8.10/6.31 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0)))))),
% 8.10/6.31 inference(transitivity,[status(thm)],[30702, 30700])).
% 8.10/6.31 tff(30704,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex1)))))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30705,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB197) <=> (~((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0))))),
% 8.10/6.31 inference(modus_ponens,[status(thm)],[30704, 30703])).
% 8.10/6.31 tff(30706,plain,
% 8.10/6.31 (v143(constB197) <=> (~((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0)))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30705, 23745])).
% 8.10/6.31 tff(30707,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB197, bitIndex1)) <=> v90(constB197, bitIndex1)) | ((~v88(constB197, bitIndex2)) <=> v90(constB197, bitIndex2)) | ((~v88(constB197, bitIndex0)) <=> v90(constB197, bitIndex0))))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30708,plain,
% 8.10/6.31 (~(((~v88(constB197, bitIndex1)) <=> v90(constB197, bitIndex1)) | ((~v88(constB197, bitIndex2)) <=> v90(constB197, bitIndex2)) | ((~v88(constB197, bitIndex0)) <=> v90(constB197, bitIndex0)))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30707, 416])).
% 8.10/6.31 tff(30709,plain,
% 8.10/6.31 ((((~v88(constB197, bitIndex1)) <=> v90(constB197, bitIndex1)) | ((~v88(constB197, bitIndex2)) <=> v90(constB197, bitIndex2)) | ((~v88(constB197, bitIndex0)) <=> v90(constB197, bitIndex0))) | (~((~v88(constB197, bitIndex2)) <=> v90(constB197, bitIndex2)))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30710,plain,
% 8.10/6.31 (~((~v88(constB197, bitIndex2)) <=> v90(constB197, bitIndex2))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30709, 30708])).
% 8.10/6.31 tff(30711,plain,
% 8.10/6.31 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30712,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_196')).
% 8.10/6.31 tff(30713,plain,
% 8.10/6.31 (nextState(constB196, constB197)),
% 8.10/6.31 inference(modus_ponens,[status(thm)],[30712, 30711])).
% 8.10/6.31 tff(30714,plain,
% 8.10/6.31 (((~![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))))))),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30715,plain,
% 8.10/6.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30716,plain,
% 8.10/6.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB196, constB197)) | (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197)))))),
% 8.10/6.31 inference(modus_ponens,[status(thm)],[30715, 30714])).
% 8.10/6.31 tff(30717,plain,
% 8.10/6.31 (v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197))))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30716, 30713, 433])).
% 8.10/6.31 tff(30718,plain,
% 8.10/6.31 (((~![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))))))),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30719,plain,
% 8.10/6.31 (((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197)))))) <=> ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))))),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30720,plain,
% 8.10/6.31 (((~![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)))))))),
% 8.10/6.31 inference(monotonicity,[status(thm)],[30719])).
% 8.10/6.31 tff(30721,plain,
% 8.10/6.31 (((~![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))))))),
% 8.10/6.31 inference(transitivity,[status(thm)],[30720, 30718])).
% 8.10/6.31 tff(30722,plain,
% 8.10/6.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v102(constB197)) | (~v1(constB197))))))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30723,plain,
% 8.10/6.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB196, constB197)) | (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))),
% 8.10/6.31 inference(modus_ponens,[status(thm)],[30722, 30721])).
% 8.10/6.31 tff(30724,plain,
% 8.10/6.31 (v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197))))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30723, 30713, 453])).
% 8.10/6.31 tff(30725,plain,
% 8.10/6.31 (((~v1(constB197)) | (~v102(constB197))) | v1(constB197)),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30726,plain,
% 8.10/6.31 ((~v1(constB197)) | (~v102(constB197))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30725, 30669])).
% 8.10/6.31 tff(30727,plain,
% 8.10/6.31 ((~(v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))) | (~v101(constB197)) | (~((~v1(constB197)) | (~v102(constB197))))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30728,plain,
% 8.10/6.31 ((~(v101(constB197) <=> (~((~v1(constB197)) | (~v102(constB197)))))) | (~v101(constB197))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30727, 30726])).
% 8.10/6.31 tff(30729,plain,
% 8.10/6.31 (~v101(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30728, 30724])).
% 8.10/6.31 tff(30730,plain,
% 8.10/6.31 (((~v101(constB197)) | (~v110(constB197))) | v101(constB197)),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30731,plain,
% 8.10/6.31 ((~v101(constB197)) | (~v110(constB197))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30730, 30729])).
% 8.10/6.31 tff(30732,plain,
% 8.10/6.31 ((~(v100(constB197) <=> (~((~v101(constB197)) | (~v110(constB197)))))) | (~v100(constB197)) | (~((~v101(constB197)) | (~v110(constB197))))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30733,plain,
% 8.10/6.31 (~v100(constB197)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30732, 30731, 30717])).
% 8.10/6.31 tff(30734,plain,
% 8.10/6.31 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30735,plain,
% 8.10/6.31 ((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)))))),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30736,plain,
% 8.10/6.31 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 8.10/6.31 inference(monotonicity,[status(thm)],[30735])).
% 8.10/6.31 tff(30737,plain,
% 8.10/6.31 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 8.10/6.31 inference(transitivity,[status(thm)],[30736, 30734])).
% 8.10/6.31 tff(30738,plain,
% 8.10/6.31 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30739,plain,
% 8.10/6.31 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 8.10/6.31 inference(modus_ponens,[status(thm)],[30738, 30737])).
% 8.10/6.31 tff(30740,plain,
% 8.10/6.31 (v100(constB197) | (~(((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30739, 30713, 482])).
% 8.10/6.31 tff(30741,plain,
% 8.10/6.31 (~(((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30740, 30733])).
% 8.10/6.31 tff(30742,plain,
% 8.10/6.31 ((((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))) | (~((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30743,plain,
% 8.10/6.31 (~((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30742, 30741])).
% 8.10/6.31 tff(30744,plain,
% 8.10/6.31 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30745,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_195')).
% 8.10/6.31 tff(30746,plain,
% 8.10/6.31 (nextState(constB195, constB196)),
% 8.10/6.31 inference(modus_ponens,[status(thm)],[30745, 30744])).
% 8.10/6.31 tff(30747,plain,
% 8.10/6.31 (((~![VarNext: $i, 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)))))),
% 8.10/6.31 inference(rewrite,[status(thm)],[])).
% 8.10/6.31 tff(30748,plain,
% 8.10/6.31 ((~![VarNext: $i, 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)))))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30749,plain,
% 8.10/6.31 ((~![VarNext: $i, 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))))),
% 8.10/6.31 inference(modus_ponens,[status(thm)],[30748, 30747])).
% 8.10/6.31 tff(30750,plain,
% 8.10/6.31 (~(((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0)))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30749, 30746, 505])).
% 8.10/6.31 tff(30751,plain,
% 8.10/6.31 ((((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0))) | (~((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)))),
% 8.10/6.31 inference(tautology,[status(thm)],[])).
% 8.10/6.31 tff(30752,plain,
% 8.10/6.31 (~((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2))),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30751, 30750])).
% 8.10/6.31 tff(30753,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB195) <=> v26(constB195))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30754,plain,
% 8.10/6.31 (v111(constB195) <=> v26(constB195)),
% 8.10/6.31 inference(unit_resolution,[status(thm)],[30753, 524])).
% 8.10/6.31 tff(30755,plain,
% 8.10/6.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB195))),
% 8.10/6.31 inference(quant_inst,[status(thm)],[])).
% 8.10/6.31 tff(30756,plain,
% 8.10/6.31 (~v26(constB195)),
% 8.10/6.32 inference(unit_resolution,[status(thm)],[30755, 536])).
% 8.10/6.32 tff(30757,plain,
% 8.10/6.32 ((~(v111(constB195) <=> v26(constB195))) | (~v111(constB195)) | v26(constB195)),
% 8.10/6.32 inference(tautology,[status(thm)],[])).
% 8.10/6.32 tff(30758,plain,
% 8.10/6.32 ((~(v111(constB195) <=> v26(constB195))) | (~v111(constB195))),
% 8.10/6.32 inference(unit_resolution,[status(thm)],[30757, 30756])).
% 8.10/6.32 tff(30759,plain,
% 8.10/6.32 (~v111(constB195)),
% 8.10/6.32 inference(unit_resolution,[status(thm)],[30758, 30754])).
% 8.10/6.32 tff(30760,plain,
% 8.10/6.32 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB195) | (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB195) | (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)))))),
% 8.10/6.32 inference(rewrite,[status(thm)],[])).
% 8.10/6.32 tff(30761,plain,
% 8.10/6.32 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB195) | (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)))))),
% 8.10/6.32 inference(quant_inst,[status(thm)],[])).
% 8.10/6.32 tff(30762,plain,
% 8.10/6.32 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB195) | (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1))))),
% 8.20/6.32 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 8.20/6.32 tff(30763,plain,
% 8.20/6.32 (v111(constB195) | (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1))))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30762, 554])).
% 8.20/6.32 tff(30764,plain,
% 8.20/6.32 (~(((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30763, 30759])).
% 8.20/6.32 tff(30765,plain,
% 8.20/6.32 ((((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1))) | (~((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)))),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30766,plain,
% 8.20/6.32 (~((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30765, 30764])).
% 8.20/6.32 tff(30767,plain,
% 8.20/6.32 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))))),
% 8.20/6.32 inference(quant_inst,[status(thm)],[])).
% 8.20/6.32 tff(30768,plain,
% 8.20/6.32 (v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0))))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30767, 653])).
% 8.20/6.32 tff(30769,plain,
% 8.20/6.32 (((~![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))))))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30770,plain,
% 8.20/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))))),
% 8.20/6.32 inference(quant_inst,[status(thm)],[])).
% 8.20/6.32 tff(30771,plain,
% 8.20/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB194, constB195)) | (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))),
% 8.20/6.32 inference(modus_ponens,[status(thm)],[30770, 30769])).
% 8.20/6.32 tff(30772,plain,
% 8.20/6.32 (v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195))))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30771, 28978, 433])).
% 8.20/6.32 tff(30773,plain,
% 8.20/6.32 (((~![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))))))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30774,plain,
% 8.20/6.32 (((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195)))))) <=> ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30775,plain,
% 8.20/6.32 (((~![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)))))))),
% 8.20/6.32 inference(monotonicity,[status(thm)],[30774])).
% 8.20/6.32 tff(30776,plain,
% 8.20/6.32 (((~![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))))))),
% 8.20/6.32 inference(transitivity,[status(thm)],[30775, 30773])).
% 8.20/6.32 tff(30777,plain,
% 8.20/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v102(constB195)) | (~v1(constB195))))))),
% 8.20/6.32 inference(quant_inst,[status(thm)],[])).
% 8.20/6.32 tff(30778,plain,
% 8.20/6.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB194, constB195)) | (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))),
% 8.20/6.32 inference(modus_ponens,[status(thm)],[30777, 30776])).
% 8.20/6.32 tff(30779,plain,
% 8.20/6.32 (v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195))))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30778, 28978, 453])).
% 8.20/6.32 tff(30780,plain,
% 8.20/6.32 ((~v1(constB195)) <=> (~v1(constB195))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30781,axiom,(~v1(constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_195')).
% 8.20/6.32 tff(30782,plain,
% 8.20/6.32 (~v1(constB195)),
% 8.20/6.32 inference(modus_ponens,[status(thm)],[30781, 30780])).
% 8.20/6.32 tff(30783,plain,
% 8.20/6.32 (((~v1(constB195)) | (~v102(constB195))) | v1(constB195)),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30784,plain,
% 8.20/6.32 ((~v1(constB195)) | (~v102(constB195))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30783, 30782])).
% 8.20/6.32 tff(30785,plain,
% 8.20/6.32 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195)) | (~((~v1(constB195)) | (~v102(constB195))))),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30786,plain,
% 8.20/6.32 ((~(v101(constB195) <=> (~((~v1(constB195)) | (~v102(constB195)))))) | (~v101(constB195))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30785, 30784])).
% 8.20/6.32 tff(30787,plain,
% 8.20/6.32 (~v101(constB195)),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30786, 30779])).
% 8.20/6.32 tff(30788,plain,
% 8.20/6.32 (((~v101(constB195)) | (~v110(constB195))) | v101(constB195)),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30789,plain,
% 8.20/6.32 ((~v101(constB195)) | (~v110(constB195))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30788, 30787])).
% 8.20/6.32 tff(30790,plain,
% 8.20/6.32 ((~(v100(constB195) <=> (~((~v101(constB195)) | (~v110(constB195)))))) | (~v100(constB195)) | (~((~v101(constB195)) | (~v110(constB195))))),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30791,plain,
% 8.20/6.32 (~v100(constB195)),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30790, 30789, 30772])).
% 8.20/6.32 tff(30792,plain,
% 8.20/6.32 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30793,plain,
% 8.20/6.32 ((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)))))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30794,plain,
% 8.20/6.32 (((~![VarNext: $i, VarCurr: $i] : (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))))))),
% 8.20/6.32 inference(monotonicity,[status(thm)],[30793])).
% 8.20/6.32 tff(30795,plain,
% 8.20/6.32 (((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 8.20/6.32 inference(transitivity,[status(thm)],[30794, 30792])).
% 8.20/6.32 tff(30796,plain,
% 8.20/6.32 ((~![VarNext: $i, VarCurr: $i] : (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)))))),
% 8.20/6.32 inference(quant_inst,[status(thm)],[])).
% 8.20/6.32 tff(30797,plain,
% 8.20/6.32 ((~![VarNext: $i, VarCurr: $i] : (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))))),
% 8.20/6.32 inference(modus_ponens,[status(thm)],[30796, 30795])).
% 8.20/6.32 tff(30798,plain,
% 8.20/6.32 (v100(constB195) | (~(((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30797, 28978, 482])).
% 8.20/6.32 tff(30799,plain,
% 8.20/6.32 (~(((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30798, 30791])).
% 8.20/6.32 tff(30800,plain,
% 8.20/6.32 ((((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))) | (~((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)))),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30801,plain,
% 8.20/6.32 (~((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30800, 30799])).
% 8.20/6.32 tff(30802,plain,
% 8.20/6.32 (((~![VarNext: $i, 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)))))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30803,plain,
% 8.20/6.32 ((~![VarNext: $i, 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)))))),
% 8.20/6.32 inference(quant_inst,[status(thm)],[])).
% 8.20/6.32 tff(30804,plain,
% 8.20/6.32 ((~![VarNext: $i, 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))))),
% 8.20/6.32 inference(modus_ponens,[status(thm)],[30803, 30802])).
% 8.20/6.32 tff(30805,plain,
% 8.20/6.32 (~(((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0)))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30804, 29024, 505])).
% 8.20/6.32 tff(30806,plain,
% 8.20/6.32 ((((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0))) | (~((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)))),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30807,plain,
% 8.20/6.32 (~((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30806, 30805])).
% 8.20/6.32 tff(30808,plain,
% 8.20/6.32 ((~![VarCurr: $i] : (v111(VarCurr) <=> v26(VarCurr))) | (v111(constB193) <=> v26(constB193))),
% 8.20/6.32 inference(quant_inst,[status(thm)],[])).
% 8.20/6.32 tff(30809,plain,
% 8.20/6.32 (v111(constB193) <=> v26(constB193)),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30808, 524])).
% 8.20/6.32 tff(30810,plain,
% 8.20/6.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB193))),
% 8.20/6.32 inference(quant_inst,[status(thm)],[])).
% 8.20/6.32 tff(30811,plain,
% 8.20/6.32 (~v26(constB193)),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30810, 536])).
% 8.20/6.32 tff(30812,plain,
% 8.20/6.32 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193)) | v26(constB193)),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30813,plain,
% 8.20/6.32 ((~(v111(constB193) <=> v26(constB193))) | (~v111(constB193))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30812, 30811])).
% 8.20/6.32 tff(30814,plain,
% 8.20/6.32 (~v111(constB193)),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30813, 30809])).
% 8.20/6.32 tff(30815,plain,
% 8.20/6.32 (((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB193) | (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB193) | (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)))))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30816,plain,
% 8.20/6.32 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | (v111(constB193) | (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)))))),
% 8.20/6.32 inference(quant_inst,[status(thm)],[])).
% 8.20/6.32 tff(30817,plain,
% 8.20/6.32 ((~![VarCurr: $i] : (v111(VarCurr) | (~(((~v127(VarCurr, bitIndex2)) <=> v130(VarCurr, bitIndex2)) | ((~v127(VarCurr, bitIndex0)) <=> v130(VarCurr, bitIndex0)) | ((~v127(VarCurr, bitIndex1)) <=> v130(VarCurr, bitIndex1)))))) | v111(constB193) | (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1))))),
% 8.20/6.32 inference(modus_ponens,[status(thm)],[30816, 30815])).
% 8.20/6.32 tff(30818,plain,
% 8.20/6.32 (v111(constB193) | (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1))))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30817, 554])).
% 8.20/6.32 tff(30819,plain,
% 8.20/6.32 (~(((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30818, 30814])).
% 8.20/6.32 tff(30820,plain,
% 8.20/6.32 ((((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1))) | (~((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)))),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30821,plain,
% 8.20/6.32 (~((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30820, 30819])).
% 8.20/6.32 tff(30822,plain,
% 8.20/6.32 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))))) | (v119(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))))),
% 8.20/6.32 inference(quant_inst,[status(thm)],[])).
% 8.20/6.32 tff(30823,plain,
% 8.20/6.32 (v119(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30822, 727])).
% 8.20/6.32 tff(30824,plain,
% 8.20/6.32 ((v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex2))),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30825,plain,
% 8.20/6.32 (v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30824, 22476])).
% 8.20/6.32 tff(30826,plain,
% 8.20/6.32 ((~(v119(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))))) | (~v119(constB193)) | (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)))),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30827,plain,
% 8.20/6.32 (~v119(constB193)),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30826, 30825, 30823])).
% 8.20/6.32 tff(30828,plain,
% 8.20/6.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex0))))))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30829,plain,
% 8.20/6.32 ((v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2))))) <=> (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex0)))))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30830,plain,
% 8.20/6.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex0))))))),
% 8.20/6.32 inference(monotonicity,[status(thm)],[30829])).
% 8.20/6.32 tff(30831,plain,
% 8.20/6.32 (((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex0))))))),
% 8.20/6.32 inference(transitivity,[status(thm)],[30830, 30828])).
% 8.20/6.32 tff(30832,plain,
% 8.20/6.32 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex2)))))),
% 8.20/6.32 inference(quant_inst,[status(thm)],[])).
% 8.20/6.32 tff(30833,plain,
% 8.20/6.32 ((~![VarCurr: $i] : (v124(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex2)))))) | (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex0)))))),
% 8.20/6.32 inference(modus_ponens,[status(thm)],[30832, 30831])).
% 8.20/6.32 tff(30834,plain,
% 8.20/6.32 (v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex0))))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30833, 801])).
% 8.20/6.32 tff(30835,plain,
% 8.20/6.32 ((v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex1))),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30836,plain,
% 8.20/6.32 (v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex0))),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30835, 22520])).
% 8.20/6.32 tff(30837,plain,
% 8.20/6.32 ((~(v124(constB193) <=> (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex0)))))) | (~v124(constB193)) | (~(v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | (~v90(constB193, bitIndex0))))),
% 8.20/6.32 inference(tautology,[status(thm)],[])).
% 8.20/6.32 tff(30838,plain,
% 8.20/6.32 (~v124(constB193)),
% 8.20/6.32 inference(unit_resolution,[status(thm)],[30837, 30836, 30834])).
% 8.20/6.32 tff(30839,plain,
% 8.20/6.32 (((~![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))))))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30840,plain,
% 8.20/6.32 ((v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2))))) <=> (v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2)))))),
% 8.20/6.32 inference(rewrite,[status(thm)],[])).
% 8.20/6.32 tff(30841,plain,
% 8.20/6.32 (((~![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))))))),
% 8.20/6.33 inference(monotonicity,[status(thm)],[30840])).
% 8.20/6.33 tff(30842,plain,
% 8.20/6.33 (((~![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))))))),
% 8.20/6.33 inference(transitivity,[status(thm)],[30841, 30839])).
% 8.20/6.33 tff(30843,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)))))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30844,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v123(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)))))) | (v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2)))))),
% 8.20/6.33 inference(modus_ponens,[status(thm)],[30843, 30842])).
% 8.20/6.33 tff(30845,plain,
% 8.20/6.33 (v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2))))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30844, 880])).
% 8.20/6.33 tff(30846,plain,
% 8.20/6.33 ((v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2))) | (~v90(constB193, bitIndex1))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30847,plain,
% 8.20/6.33 (v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30846, 22520])).
% 8.20/6.33 tff(30848,plain,
% 8.20/6.33 ((~(v123(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2)))))) | (~v123(constB193)) | (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex2))))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30849,plain,
% 8.20/6.33 (~v123(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30848, 30847, 30845])).
% 8.20/6.33 tff(30850,plain,
% 8.20/6.33 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30851,plain,
% 8.20/6.33 ((v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1))))) <=> (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0)))))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30852,plain,
% 8.20/6.33 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))))),
% 8.20/6.33 inference(monotonicity,[status(thm)],[30851])).
% 8.20/6.33 tff(30853,plain,
% 8.20/6.33 (((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))))),
% 8.20/6.33 inference(transitivity,[status(thm)],[30852, 30850])).
% 8.20/6.33 tff(30854,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)))))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30855,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v122(VarCurr) <=> (~(v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)))))) | (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0)))))),
% 8.20/6.33 inference(modus_ponens,[status(thm)],[30854, 30853])).
% 8.20/6.33 tff(30856,plain,
% 8.20/6.33 (v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30855, 959])).
% 8.20/6.33 tff(30857,plain,
% 8.20/6.33 ((v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex2))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30858,plain,
% 8.20/6.33 (v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30857, 22476])).
% 8.20/6.33 tff(30859,plain,
% 8.20/6.33 ((~(v122(constB193) <=> (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0)))))) | (~v122(constB193)) | (~(v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex0))))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30860,plain,
% 8.20/6.33 (~v122(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30859, 30858, 30856])).
% 8.20/6.33 tff(30861,plain,
% 8.20/6.33 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1))))))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30862,plain,
% 8.20/6.33 ((v121(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1))))) <=> (v121(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)))))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30863,plain,
% 8.20/6.33 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1))))))),
% 8.20/6.33 inference(monotonicity,[status(thm)],[30862])).
% 8.20/6.33 tff(30864,plain,
% 8.20/6.33 (((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1))))))),
% 8.20/6.33 inference(transitivity,[status(thm)],[30863, 30861])).
% 8.20/6.33 tff(30865,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex0) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex1)))))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30866,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v121(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex1)))))) | (v121(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)))))),
% 8.20/6.33 inference(modus_ponens,[status(thm)],[30865, 30864])).
% 8.20/6.33 tff(30867,plain,
% 8.20/6.33 (v121(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1))))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30866, 574])).
% 8.20/6.33 tff(30868,plain,
% 8.20/6.33 ((v90(constB193, bitIndex2) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1))) | (~v90(constB193, bitIndex2))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30869,plain,
% 8.20/6.33 (v90(constB193, bitIndex2) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30868, 22476])).
% 8.20/6.33 tff(30870,plain,
% 8.20/6.33 ((~(v121(constB193) <=> (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)))))) | (~v121(constB193)) | (~(v90(constB193, bitIndex2) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1))))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30871,plain,
% 8.20/6.33 (~v121(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30870, 30869, 30867])).
% 8.20/6.33 tff(30872,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v120(VarCurr) <=> (~(v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex0)))))) | (v120(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)))))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30873,plain,
% 8.20/6.33 (v120(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0))))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30872, 653])).
% 8.20/6.33 tff(30874,plain,
% 8.20/6.33 ((v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0))) | (~v90(constB193, bitIndex2))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30875,plain,
% 8.20/6.33 (v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30874, 22476])).
% 8.20/6.33 tff(30876,plain,
% 8.20/6.33 ((~(v120(constB193) <=> (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0)))))) | (~v120(constB193)) | (~(v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | (~v90(constB193, bitIndex0))))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30877,plain,
% 8.20/6.33 (~v120(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30876, 30875, 30873])).
% 8.20/6.33 tff(30878,plain,
% 8.20/6.33 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, 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(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0)))))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30879,plain,
% 8.20/6.33 ((v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0))))) <=> (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0)))))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30880,plain,
% 8.20/6.33 ((~(v130(constB193, bitIndex1) | v130(constB193, bitIndex2) | (~v130(constB193, bitIndex0)))) <=> (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0))))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30881,plain,
% 8.20/6.33 ((v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~(v130(constB193, bitIndex1) | v130(constB193, bitIndex2) | (~v130(constB193, bitIndex0))))) <=> (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0)))))),
% 8.20/6.33 inference(monotonicity,[status(thm)],[30880])).
% 8.20/6.33 tff(30882,plain,
% 8.20/6.33 ((v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~(v130(constB193, bitIndex1) | v130(constB193, bitIndex2) | (~v130(constB193, bitIndex0))))) <=> (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0)))))),
% 8.20/6.33 inference(transitivity,[status(thm)],[30881, 30879])).
% 8.20/6.33 tff(30883,plain,
% 8.20/6.33 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~(v130(constB193, bitIndex1) | v130(constB193, bitIndex2) | (~v130(constB193, 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(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0))))))),
% 8.20/6.33 inference(monotonicity,[status(thm)],[30882])).
% 8.20/6.33 tff(30884,plain,
% 8.20/6.33 (((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~(v130(constB193, bitIndex1) | v130(constB193, bitIndex2) | (~v130(constB193, 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(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0)))))),
% 8.20/6.33 inference(transitivity,[status(thm)],[30883, 30878])).
% 8.20/6.33 tff(30885,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | (v124(constB193) | v123(constB193) | v122(constB193) | v121(constB193) | v120(constB193) | v119(constB193) | (~(v130(constB193, bitIndex1) | v130(constB193, bitIndex2) | (~v130(constB193, bitIndex0)))))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30886,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v124(VarCurr) | v123(VarCurr) | v122(VarCurr) | v121(VarCurr) | v120(VarCurr) | v119(VarCurr) | (~(v130(VarCurr, bitIndex1) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex0)))))) | v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0))))),
% 8.20/6.33 inference(modus_ponens,[status(thm)],[30885, 30884])).
% 8.20/6.33 tff(30887,plain,
% 8.20/6.33 (v119(constB193) | v120(constB193) | v121(constB193) | v122(constB193) | v123(constB193) | v124(constB193) | (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0))))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30886, 5057])).
% 8.20/6.33 tff(30888,plain,
% 8.20/6.33 (~(v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0)))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30887, 30877, 30871, 30860, 30849, 30838, 30827])).
% 8.20/6.33 tff(30889,plain,
% 8.20/6.33 ((v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0))) | (~v130(constB193, bitIndex2))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30890,plain,
% 8.20/6.33 (~v130(constB193, bitIndex2)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30889, 30888])).
% 8.20/6.33 tff(30891,plain,
% 8.20/6.33 (((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | (~v127(constB193, bitIndex2)) | v130(constB193, bitIndex2)),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30892,plain,
% 8.20/6.33 (~v127(constB193, bitIndex2)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30891, 30890, 30821])).
% 8.20/6.33 tff(30893,plain,
% 8.20/6.33 (((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | (~v129(constB194, bitIndex2)) | v127(constB193, bitIndex2)),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30894,plain,
% 8.20/6.33 (~v129(constB194, bitIndex2)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30893, 30892, 30807])).
% 8.20/6.33 tff(30895,plain,
% 8.20/6.33 (((~![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))))))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30896,plain,
% 8.20/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30897,plain,
% 8.20/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB193, constB194)) | (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))),
% 8.20/6.33 inference(modus_ponens,[status(thm)],[30896, 30895])).
% 8.20/6.33 tff(30898,plain,
% 8.20/6.33 (v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194))))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30897, 29024, 433])).
% 8.20/6.33 tff(30899,plain,
% 8.20/6.33 (((~![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))))))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30900,plain,
% 8.20/6.33 (((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194)))))) <=> ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30901,plain,
% 8.20/6.33 (((~![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)))))))),
% 8.20/6.33 inference(monotonicity,[status(thm)],[30900])).
% 8.20/6.33 tff(30902,plain,
% 8.20/6.33 (((~![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))))))),
% 8.20/6.33 inference(transitivity,[status(thm)],[30901, 30899])).
% 8.20/6.33 tff(30903,plain,
% 8.20/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v102(constB194)) | (~v1(constB194))))))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30904,plain,
% 8.20/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB193, constB194)) | (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))),
% 8.20/6.33 inference(modus_ponens,[status(thm)],[30903, 30902])).
% 8.20/6.33 tff(30905,plain,
% 8.20/6.33 (v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194))))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30904, 29024, 453])).
% 8.20/6.33 tff(30906,plain,
% 8.20/6.33 (((~![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)))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30907,plain,
% 8.20/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194)))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30908,plain,
% 8.20/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB193, constB194)) | ((~v102(constB194)) <=> v104(constB194))),
% 8.20/6.33 inference(modus_ponens,[status(thm)],[30907, 30906])).
% 8.20/6.33 tff(30909,plain,
% 8.20/6.33 ((~v102(constB194)) <=> v104(constB194)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30908, 29024, 3966])).
% 8.20/6.33 tff(30910,plain,
% 8.20/6.33 (((~![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)))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30911,plain,
% 8.20/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193)))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30912,plain,
% 8.20/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB193, constB194)) | (v104(constB194) <=> v1(constB193))),
% 8.20/6.33 inference(modus_ponens,[status(thm)],[30911, 30910])).
% 8.20/6.33 tff(30913,plain,
% 8.20/6.33 (v104(constB194) <=> v1(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30912, 29024, 3980])).
% 8.20/6.33 tff(30914,plain,
% 8.20/6.33 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194)) | v1(constB193)),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30915,plain,
% 8.20/6.33 ((~(v104(constB194) <=> v1(constB193))) | (~v104(constB194))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30914, 21917])).
% 8.20/6.33 tff(30916,plain,
% 8.20/6.33 (~v104(constB194)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30915, 30913])).
% 8.20/6.33 tff(30917,plain,
% 8.20/6.33 ((~((~v102(constB194)) <=> v104(constB194))) | v102(constB194) | v104(constB194)),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30918,plain,
% 8.20/6.33 (v102(constB194)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30917, 30916, 30909])).
% 8.20/6.33 tff(30919,plain,
% 8.20/6.33 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v1(constB194)) | (~v102(constB194))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30920,plain,
% 8.20/6.33 ((~((~v1(constB194)) | (~v102(constB194)))) | (~v102(constB194))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30919, 28995])).
% 8.20/6.33 tff(30921,plain,
% 8.20/6.33 (~((~v1(constB194)) | (~v102(constB194)))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30920, 30918])).
% 8.20/6.33 tff(30922,plain,
% 8.20/6.33 ((~(v101(constB194) <=> (~((~v1(constB194)) | (~v102(constB194)))))) | v101(constB194) | ((~v1(constB194)) | (~v102(constB194)))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30923,plain,
% 8.20/6.33 (v101(constB194)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30922, 30921, 30905])).
% 8.20/6.33 tff(30924,plain,
% 8.20/6.33 (((~![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)))),
% 8.20/6.33 inference(rewrite,[status(thm)],[])).
% 8.20/6.33 tff(30925,plain,
% 8.20/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193)))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30926,plain,
% 8.20/6.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB193, constB194)) | (v110(constB194) <=> v108(constB193))),
% 8.20/6.33 inference(modus_ponens,[status(thm)],[30925, 30924])).
% 8.20/6.33 tff(30927,plain,
% 8.20/6.33 (v110(constB194) <=> v108(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30926, 29024, 4007])).
% 8.20/6.33 tff(30928,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB193) <=> (v111(constB193) | v112(constB193)))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30929,plain,
% 8.20/6.33 (v108(constB193) <=> (v111(constB193) | v112(constB193))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30928, 4018])).
% 8.20/6.33 tff(30930,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30931,plain,
% 8.20/6.33 (v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193))))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30930, 4030])).
% 8.20/6.33 tff(30932,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB193) <=> (v114(constB193) | v125(constB193)))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30933,plain,
% 8.20/6.33 (v113(constB193) <=> (v114(constB193) | v125(constB193))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30932, 4039])).
% 8.20/6.33 tff(30934,plain,
% 8.20/6.33 ((~![VarCurr: $i] : (v125(VarCurr) <=> (~(v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)))))) | (v125(constB193) <=> (~(v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)))))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30935,plain,
% 8.20/6.33 (v125(constB193) <=> (~(v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2))))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30934, 5129])).
% 8.20/6.33 tff(30936,plain,
% 8.20/6.33 ((~(v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)))) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30937,plain,
% 8.20/6.33 (~(v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30936, 22520, 22498, 22476])).
% 8.20/6.33 tff(30938,plain,
% 8.20/6.33 ((~(v125(constB193) <=> (~(v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)))))) | v125(constB193) | (v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30939,plain,
% 8.20/6.33 (v125(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30938, 30937, 30935])).
% 8.20/6.33 tff(30940,plain,
% 8.20/6.33 ((v114(constB193) | v125(constB193)) | (~v125(constB193))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30941,plain,
% 8.20/6.33 (v114(constB193) | v125(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30940, 30939])).
% 8.20/6.33 tff(30942,plain,
% 8.20/6.33 ((~(v113(constB193) <=> (v114(constB193) | v125(constB193)))) | v113(constB193) | (~(v114(constB193) | v125(constB193)))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30943,plain,
% 8.20/6.33 (v113(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30942, 30941, 30933])).
% 8.20/6.33 tff(30944,plain,
% 8.20/6.33 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB193)) <=> v111(constB193))),
% 8.20/6.33 inference(quant_inst,[status(thm)],[])).
% 8.20/6.33 tff(30945,plain,
% 8.20/6.33 ((~v126(constB193)) <=> v111(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30944, 4118])).
% 8.20/6.33 tff(30946,plain,
% 8.20/6.33 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193) | v111(constB193)),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30947,plain,
% 8.20/6.33 ((~((~v126(constB193)) <=> v111(constB193))) | v126(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30946, 30814])).
% 8.20/6.33 tff(30948,plain,
% 8.20/6.33 (v126(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30947, 30945])).
% 8.20/6.33 tff(30949,plain,
% 8.20/6.33 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193)) | (~v126(constB193))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30950,plain,
% 8.20/6.33 ((~((~v113(constB193)) | (~v126(constB193)))) | (~v113(constB193))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30949, 30948])).
% 8.20/6.33 tff(30951,plain,
% 8.20/6.33 (~((~v113(constB193)) | (~v126(constB193)))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30950, 30943])).
% 8.20/6.33 tff(30952,plain,
% 8.20/6.33 ((~(v112(constB193) <=> (~((~v113(constB193)) | (~v126(constB193)))))) | v112(constB193) | ((~v113(constB193)) | (~v126(constB193)))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30953,plain,
% 8.20/6.33 (v112(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30952, 30951, 30931])).
% 8.20/6.33 tff(30954,plain,
% 8.20/6.33 ((v111(constB193) | v112(constB193)) | (~v112(constB193))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30955,plain,
% 8.20/6.33 (v111(constB193) | v112(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30954, 30953])).
% 8.20/6.33 tff(30956,plain,
% 8.20/6.33 ((~(v108(constB193) <=> (v111(constB193) | v112(constB193)))) | v108(constB193) | (~(v111(constB193) | v112(constB193)))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30957,plain,
% 8.20/6.33 (v108(constB193)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30956, 30955, 30929])).
% 8.20/6.33 tff(30958,plain,
% 8.20/6.33 ((~(v110(constB194) <=> v108(constB193))) | v110(constB194) | (~v108(constB193))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30959,plain,
% 8.20/6.33 (v110(constB194)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30958, 30957, 30927])).
% 8.20/6.33 tff(30960,plain,
% 8.20/6.33 ((~((~v101(constB194)) | (~v110(constB194)))) | (~v101(constB194)) | (~v110(constB194))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30961,plain,
% 8.20/6.33 (~((~v101(constB194)) | (~v110(constB194)))),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30960, 30959, 30923])).
% 8.20/6.33 tff(30962,plain,
% 8.20/6.33 ((~(v100(constB194) <=> (~((~v101(constB194)) | (~v110(constB194)))))) | v100(constB194) | ((~v101(constB194)) | (~v110(constB194)))),
% 8.20/6.33 inference(tautology,[status(thm)],[])).
% 8.20/6.33 tff(30963,plain,
% 8.20/6.33 (v100(constB194)),
% 8.20/6.33 inference(unit_resolution,[status(thm)],[30962, 30961, 30898])).
% 8.20/6.33 tff(30964,plain,
% 8.20/6.33 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 8.20/6.34 inference(rewrite,[status(thm)],[])).
% 8.20/6.34 tff(30965,plain,
% 8.20/6.34 (((~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)))))),
% 8.20/6.34 inference(rewrite,[status(thm)],[])).
% 8.20/6.34 tff(30966,plain,
% 8.20/6.34 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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))))))),
% 8.20/6.34 inference(monotonicity,[status(thm)],[30965])).
% 8.20/6.34 tff(30967,plain,
% 8.20/6.34 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 8.20/6.34 inference(transitivity,[status(thm)],[30966, 30964])).
% 8.20/6.34 tff(30968,plain,
% 8.20/6.34 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB194)) | (~(((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)) | ((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)))))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(30969,plain,
% 8.20/6.34 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB194)) | (~(((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))))),
% 8.20/6.34 inference(modus_ponens,[status(thm)],[30968, 30967])).
% 8.20/6.34 tff(30970,plain,
% 8.20/6.34 ((~v100(constB194)) | (~(((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30969, 4151])).
% 8.20/6.34 tff(30971,plain,
% 8.20/6.34 (~(((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30970, 30963])).
% 8.20/6.34 tff(30972,plain,
% 8.20/6.34 ((((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))) | (~((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30973,plain,
% 8.20/6.34 (~((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30972, 30971])).
% 8.20/6.34 tff(30974,plain,
% 8.20/6.34 (((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | (~v90(constB194, bitIndex2)) | v129(constB194, bitIndex2)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30975,plain,
% 8.20/6.34 (~v90(constB194, bitIndex2)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30974, 30973, 30894])).
% 8.20/6.34 tff(30976,plain,
% 8.20/6.34 (((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | (~v90(constB195, bitIndex2)) | v90(constB194, bitIndex2)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30977,plain,
% 8.20/6.34 (~v90(constB195, bitIndex2)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30976, 30975, 30801])).
% 8.20/6.34 tff(30978,plain,
% 8.20/6.34 ((((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))) | (~((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30979,plain,
% 8.20/6.34 (~((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30978, 30799])).
% 8.20/6.34 tff(30980,plain,
% 8.20/6.34 ((((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0))) | (~((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30981,plain,
% 8.20/6.34 (~((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30980, 30805])).
% 8.20/6.34 tff(30982,plain,
% 8.20/6.34 ((((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1))) | (~((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30983,plain,
% 8.20/6.34 (~((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30982, 30819])).
% 8.20/6.34 tff(30984,plain,
% 8.20/6.34 ((v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0))) | v130(constB193, bitIndex0)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30985,plain,
% 8.20/6.34 (v130(constB193, bitIndex0)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30984, 30888])).
% 8.20/6.34 tff(30986,plain,
% 8.20/6.34 (((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)) | v127(constB193, bitIndex0) | (~v130(constB193, bitIndex0))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30987,plain,
% 8.20/6.34 (v127(constB193, bitIndex0)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30986, 30985, 30983])).
% 8.20/6.34 tff(30988,plain,
% 8.20/6.34 (((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0)) | v129(constB194, bitIndex0) | (~v127(constB193, bitIndex0))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30989,plain,
% 8.20/6.34 (v129(constB194, bitIndex0)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30988, 30987, 30981])).
% 8.20/6.34 tff(30990,plain,
% 8.20/6.34 ((((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))) | (~((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30991,plain,
% 8.20/6.34 (~((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30990, 30971])).
% 8.20/6.34 tff(30992,plain,
% 8.20/6.34 (((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30993,plain,
% 8.20/6.34 (v90(constB194, bitIndex0)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30992, 30991, 30989])).
% 8.20/6.34 tff(30994,plain,
% 8.20/6.34 (((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0)) | v90(constB195, bitIndex0) | (~v90(constB194, bitIndex0))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30995,plain,
% 8.20/6.34 (v90(constB195, bitIndex0)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30994, 30993, 30979])).
% 8.20/6.34 tff(30996,plain,
% 8.20/6.34 ((((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | ((~v90(constB195, bitIndex2)) <=> v90(constB194, bitIndex2)) | ((~v90(constB195, bitIndex0)) <=> v90(constB194, bitIndex0))) | (~((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30997,plain,
% 8.20/6.34 (~((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30996, 30799])).
% 8.20/6.34 tff(30998,plain,
% 8.20/6.34 ((((~v129(constB194, bitIndex2)) <=> v127(constB193, bitIndex2)) | ((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | ((~v129(constB194, bitIndex0)) <=> v127(constB193, bitIndex0))) | (~((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(30999,plain,
% 8.20/6.34 (~((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[30998, 30805])).
% 8.20/6.34 tff(31000,plain,
% 8.20/6.34 ((((~v127(constB193, bitIndex2)) <=> v130(constB193, bitIndex2)) | ((~v127(constB193, bitIndex0)) <=> v130(constB193, bitIndex0)) | ((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1))) | (~((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31001,plain,
% 8.20/6.34 (~((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31000, 30819])).
% 8.20/6.34 tff(31002,plain,
% 8.20/6.34 ((v130(constB193, bitIndex2) | v130(constB193, bitIndex1) | (~v130(constB193, bitIndex0))) | (~v130(constB193, bitIndex1))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31003,plain,
% 8.20/6.34 (~v130(constB193, bitIndex1)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31002, 30888])).
% 8.20/6.34 tff(31004,plain,
% 8.20/6.34 (((~v127(constB193, bitIndex1)) <=> v130(constB193, bitIndex1)) | (~v127(constB193, bitIndex1)) | v130(constB193, bitIndex1)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31005,plain,
% 8.20/6.34 (~v127(constB193, bitIndex1)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31004, 31003, 31001])).
% 8.20/6.34 tff(31006,plain,
% 8.20/6.34 (((~v129(constB194, bitIndex1)) <=> v127(constB193, bitIndex1)) | (~v129(constB194, bitIndex1)) | v127(constB193, bitIndex1)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31007,plain,
% 8.20/6.34 (~v129(constB194, bitIndex1)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31006, 31005, 30999])).
% 8.20/6.34 tff(31008,plain,
% 8.20/6.34 ((((~v90(constB194, bitIndex0)) <=> v129(constB194, bitIndex0)) | ((~v90(constB194, bitIndex2)) <=> v129(constB194, bitIndex2)) | ((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))) | (~((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31009,plain,
% 8.20/6.34 (~((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31008, 30971])).
% 8.20/6.34 tff(31010,plain,
% 8.20/6.34 (((~v90(constB194, bitIndex1)) <=> v129(constB194, bitIndex1)) | (~v90(constB194, bitIndex1)) | v129(constB194, bitIndex1)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31011,plain,
% 8.20/6.34 (~v90(constB194, bitIndex1)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31010, 31009, 31007])).
% 8.20/6.34 tff(31012,plain,
% 8.20/6.34 (((~v90(constB195, bitIndex1)) <=> v90(constB194, bitIndex1)) | (~v90(constB195, bitIndex1)) | v90(constB194, bitIndex1)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31013,plain,
% 8.20/6.34 (~v90(constB195, bitIndex1)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31012, 31011, 30997])).
% 8.20/6.34 tff(31014,plain,
% 8.20/6.34 ((~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))) | v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31015,plain,
% 8.20/6.34 (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31014, 31013, 30995, 30977])).
% 8.20/6.34 tff(31016,plain,
% 8.20/6.34 ((~(v120(constB195) <=> (~(v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))))) | v120(constB195) | (v90(constB195, bitIndex1) | v90(constB195, bitIndex2) | (~v90(constB195, bitIndex0)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31017,plain,
% 8.20/6.34 (v120(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31016, 31015, 30768])).
% 8.20/6.34 tff(31018,plain,
% 8.20/6.34 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB195)) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex0) | (~v130(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB195)) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex0) | (~v130(constB195, bitIndex1)))))),
% 8.20/6.34 inference(rewrite,[status(thm)],[])).
% 8.20/6.34 tff(31019,plain,
% 8.20/6.34 (((~v120(constB195)) | (~(v130(constB195, bitIndex0) | v130(constB195, bitIndex2) | (~v130(constB195, bitIndex1))))) <=> ((~v120(constB195)) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex0) | (~v130(constB195, bitIndex1)))))),
% 8.20/6.34 inference(rewrite,[status(thm)],[])).
% 8.20/6.34 tff(31020,plain,
% 8.20/6.34 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB195)) | (~(v130(constB195, bitIndex0) | v130(constB195, bitIndex2) | (~v130(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB195)) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex0) | (~v130(constB195, bitIndex1))))))),
% 8.20/6.34 inference(monotonicity,[status(thm)],[31019])).
% 8.20/6.34 tff(31021,plain,
% 8.20/6.34 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB195)) | (~(v130(constB195, bitIndex0) | v130(constB195, bitIndex2) | (~v130(constB195, bitIndex1)))))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB195)) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex0) | (~v130(constB195, bitIndex1)))))),
% 8.20/6.34 inference(transitivity,[status(thm)],[31020, 31018])).
% 8.20/6.34 tff(31022,plain,
% 8.20/6.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | ((~v120(constB195)) | (~(v130(constB195, bitIndex0) | v130(constB195, bitIndex2) | (~v130(constB195, bitIndex1)))))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31023,plain,
% 8.20/6.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~(v130(VarCurr, bitIndex0) | v130(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex1)))))) | (~v120(constB195)) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex0) | (~v130(constB195, bitIndex1))))),
% 8.20/6.34 inference(modus_ponens,[status(thm)],[31022, 31021])).
% 8.20/6.34 tff(31024,plain,
% 8.20/6.34 ((~v120(constB195)) | (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex0) | (~v130(constB195, bitIndex1))))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31023, 4218])).
% 8.20/6.34 tff(31025,plain,
% 8.20/6.34 (~(v130(constB195, bitIndex2) | v130(constB195, bitIndex0) | (~v130(constB195, bitIndex1)))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31024, 31017])).
% 8.20/6.34 tff(31026,plain,
% 8.20/6.34 ((v130(constB195, bitIndex2) | v130(constB195, bitIndex0) | (~v130(constB195, bitIndex1))) | (~v130(constB195, bitIndex2))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31027,plain,
% 8.20/6.34 (~v130(constB195, bitIndex2)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31026, 31025])).
% 8.20/6.34 tff(31028,plain,
% 8.20/6.34 (((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | (~v127(constB195, bitIndex2)) | v130(constB195, bitIndex2)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31029,plain,
% 8.20/6.34 (~v127(constB195, bitIndex2)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31028, 31027, 30766])).
% 8.20/6.34 tff(31030,plain,
% 8.20/6.34 (((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | (~v129(constB196, bitIndex2)) | v127(constB195, bitIndex2)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31031,plain,
% 8.20/6.34 (~v129(constB196, bitIndex2)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31030, 31029, 30752])).
% 8.20/6.34 tff(31032,plain,
% 8.20/6.34 (((~![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))))))),
% 8.20/6.34 inference(rewrite,[status(thm)],[])).
% 8.20/6.34 tff(31033,plain,
% 8.20/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | ((~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31034,plain,
% 8.20/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v100(VarNext) <=> (~((~v101(VarNext)) | (~v110(VarNext))))))) | (~nextState(constB195, constB196)) | (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196)))))),
% 8.20/6.34 inference(modus_ponens,[status(thm)],[31033, 31032])).
% 8.20/6.34 tff(31035,plain,
% 8.20/6.34 (v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196))))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31034, 30746, 433])).
% 8.20/6.34 tff(31036,plain,
% 8.20/6.34 (((~![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))))))),
% 8.20/6.34 inference(rewrite,[status(thm)],[])).
% 8.20/6.34 tff(31037,plain,
% 8.20/6.34 (((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196)))))) <=> ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))))),
% 8.20/6.34 inference(rewrite,[status(thm)],[])).
% 8.20/6.34 tff(31038,plain,
% 8.20/6.34 (((~![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)))))))),
% 8.20/6.34 inference(monotonicity,[status(thm)],[31037])).
% 8.20/6.34 tff(31039,plain,
% 8.20/6.34 (((~![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))))))),
% 8.20/6.34 inference(transitivity,[status(thm)],[31038, 31036])).
% 8.20/6.34 tff(31040,plain,
% 8.20/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v102(constB196)) | (~v1(constB196))))))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31041,plain,
% 8.20/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v101(VarNext) <=> (~((~v102(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB195, constB196)) | (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))),
% 8.20/6.34 inference(modus_ponens,[status(thm)],[31040, 31039])).
% 8.20/6.34 tff(31042,plain,
% 8.20/6.34 (v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196))))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31041, 30746, 453])).
% 8.20/6.34 tff(31043,plain,
% 8.20/6.34 (((~![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)))),
% 8.20/6.34 inference(rewrite,[status(thm)],[])).
% 8.20/6.34 tff(31044,plain,
% 8.20/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | ((~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196)))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31045,plain,
% 8.20/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | ((~v102(VarNext)) <=> v104(VarNext)))) | (~nextState(constB195, constB196)) | ((~v102(constB196)) <=> v104(constB196))),
% 8.20/6.34 inference(modus_ponens,[status(thm)],[31044, 31043])).
% 8.20/6.34 tff(31046,plain,
% 8.20/6.34 ((~v102(constB196)) <=> v104(constB196)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31045, 30746, 3966])).
% 8.20/6.34 tff(31047,plain,
% 8.20/6.34 (((~![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)))),
% 8.20/6.34 inference(rewrite,[status(thm)],[])).
% 8.20/6.34 tff(31048,plain,
% 8.20/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195)))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31049,plain,
% 8.20/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v1(VarCurr)))) | (~nextState(constB195, constB196)) | (v104(constB196) <=> v1(constB195))),
% 8.20/6.34 inference(modus_ponens,[status(thm)],[31048, 31047])).
% 8.20/6.34 tff(31050,plain,
% 8.20/6.34 (v104(constB196) <=> v1(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31049, 30746, 3980])).
% 8.20/6.34 tff(31051,plain,
% 8.20/6.34 ((~(v104(constB196) <=> v1(constB195))) | (~v104(constB196)) | v1(constB195)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31052,plain,
% 8.20/6.34 ((~(v104(constB196) <=> v1(constB195))) | (~v104(constB196))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31051, 30782])).
% 8.20/6.34 tff(31053,plain,
% 8.20/6.34 (~v104(constB196)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31052, 31050])).
% 8.20/6.34 tff(31054,plain,
% 8.20/6.34 ((~((~v102(constB196)) <=> v104(constB196))) | v102(constB196) | v104(constB196)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31055,plain,
% 8.20/6.34 (v102(constB196)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31054, 31053, 31046])).
% 8.20/6.34 tff(31056,plain,
% 8.20/6.34 (v1(constB196) <=> v1(constB196)),
% 8.20/6.34 inference(rewrite,[status(thm)],[])).
% 8.20/6.34 tff(31057,axiom,(v1(constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_196')).
% 8.20/6.34 tff(31058,plain,
% 8.20/6.34 (v1(constB196)),
% 8.20/6.34 inference(modus_ponens,[status(thm)],[31057, 31056])).
% 8.20/6.34 tff(31059,plain,
% 8.20/6.34 ((~((~v1(constB196)) | (~v102(constB196)))) | (~v1(constB196)) | (~v102(constB196))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31060,plain,
% 8.20/6.34 ((~((~v1(constB196)) | (~v102(constB196)))) | (~v102(constB196))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31059, 31058])).
% 8.20/6.34 tff(31061,plain,
% 8.20/6.34 (~((~v1(constB196)) | (~v102(constB196)))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31060, 31055])).
% 8.20/6.34 tff(31062,plain,
% 8.20/6.34 ((~(v101(constB196) <=> (~((~v1(constB196)) | (~v102(constB196)))))) | v101(constB196) | ((~v1(constB196)) | (~v102(constB196)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31063,plain,
% 8.20/6.34 (v101(constB196)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31062, 31061, 31042])).
% 8.20/6.34 tff(31064,plain,
% 8.20/6.34 (((~![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)))),
% 8.20/6.34 inference(rewrite,[status(thm)],[])).
% 8.20/6.34 tff(31065,plain,
% 8.20/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | ((~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195)))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31066,plain,
% 8.20/6.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v110(VarNext) <=> v108(VarCurr)))) | (~nextState(constB195, constB196)) | (v110(constB196) <=> v108(constB195))),
% 8.20/6.34 inference(modus_ponens,[status(thm)],[31065, 31064])).
% 8.20/6.34 tff(31067,plain,
% 8.20/6.34 (v110(constB196) <=> v108(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31066, 30746, 4007])).
% 8.20/6.34 tff(31068,plain,
% 8.20/6.34 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v111(VarCurr) | v112(VarCurr)))) | (v108(constB195) <=> (v111(constB195) | v112(constB195)))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31069,plain,
% 8.20/6.34 (v108(constB195) <=> (v111(constB195) | v112(constB195))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31068, 4018])).
% 8.20/6.34 tff(31070,plain,
% 8.20/6.34 ((~![VarCurr: $i] : (v112(VarCurr) <=> (~((~v113(VarCurr)) | (~v126(VarCurr)))))) | (v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195)))))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31071,plain,
% 8.20/6.34 (v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195))))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31070, 4030])).
% 8.20/6.34 tff(31072,plain,
% 8.20/6.34 ((~![VarCurr: $i] : (v113(VarCurr) <=> (v114(VarCurr) | v125(VarCurr)))) | (v113(constB195) <=> (v114(constB195) | v125(constB195)))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31073,plain,
% 8.20/6.34 (v113(constB195) <=> (v114(constB195) | v125(constB195))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31072, 4039])).
% 8.20/6.34 tff(31074,plain,
% 8.20/6.34 ((~![VarCurr: $i] : (v114(VarCurr) <=> (v115(VarCurr) | v124(VarCurr)))) | (v114(constB195) <=> (v115(constB195) | v124(constB195)))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31075,plain,
% 8.20/6.34 (v114(constB195) <=> (v115(constB195) | v124(constB195))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31074, 4048])).
% 8.20/6.34 tff(31076,plain,
% 8.20/6.34 ((~![VarCurr: $i] : (v115(VarCurr) <=> (v116(VarCurr) | v123(VarCurr)))) | (v115(constB195) <=> (v116(constB195) | v123(constB195)))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31077,plain,
% 8.20/6.34 (v115(constB195) <=> (v116(constB195) | v123(constB195))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31076, 4057])).
% 8.20/6.34 tff(31078,plain,
% 8.20/6.34 ((~![VarCurr: $i] : (v116(VarCurr) <=> (v117(VarCurr) | v122(VarCurr)))) | (v116(constB195) <=> (v117(constB195) | v122(constB195)))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31079,plain,
% 8.20/6.34 (v116(constB195) <=> (v117(constB195) | v122(constB195))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31078, 4066])).
% 8.20/6.34 tff(31080,plain,
% 8.20/6.34 ((~![VarCurr: $i] : (v117(VarCurr) <=> (v118(VarCurr) | v121(VarCurr)))) | (v117(constB195) <=> (v118(constB195) | v121(constB195)))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31081,plain,
% 8.20/6.34 (v117(constB195) <=> (v118(constB195) | v121(constB195))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31080, 4075])).
% 8.20/6.34 tff(31082,plain,
% 8.20/6.34 ((~![VarCurr: $i] : (v118(VarCurr) <=> (v119(VarCurr) | v120(VarCurr)))) | (v118(constB195) <=> (v119(constB195) | v120(constB195)))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31083,plain,
% 8.20/6.34 (v118(constB195) <=> (v119(constB195) | v120(constB195))),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31082, 4084])).
% 8.20/6.34 tff(31084,plain,
% 8.20/6.34 ((v119(constB195) | v120(constB195)) | (~v120(constB195))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31085,plain,
% 8.20/6.34 (v119(constB195) | v120(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31084, 31017])).
% 8.20/6.34 tff(31086,plain,
% 8.20/6.34 ((~(v118(constB195) <=> (v119(constB195) | v120(constB195)))) | v118(constB195) | (~(v119(constB195) | v120(constB195)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31087,plain,
% 8.20/6.34 (v118(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31086, 31085, 31083])).
% 8.20/6.34 tff(31088,plain,
% 8.20/6.34 ((v118(constB195) | v121(constB195)) | (~v118(constB195))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31089,plain,
% 8.20/6.34 (v118(constB195) | v121(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31088, 31087])).
% 8.20/6.34 tff(31090,plain,
% 8.20/6.34 ((~(v117(constB195) <=> (v118(constB195) | v121(constB195)))) | v117(constB195) | (~(v118(constB195) | v121(constB195)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31091,plain,
% 8.20/6.34 (v117(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31090, 31089, 31081])).
% 8.20/6.34 tff(31092,plain,
% 8.20/6.34 ((v117(constB195) | v122(constB195)) | (~v117(constB195))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31093,plain,
% 8.20/6.34 (v117(constB195) | v122(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31092, 31091])).
% 8.20/6.34 tff(31094,plain,
% 8.20/6.34 ((~(v116(constB195) <=> (v117(constB195) | v122(constB195)))) | v116(constB195) | (~(v117(constB195) | v122(constB195)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31095,plain,
% 8.20/6.34 (v116(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31094, 31093, 31079])).
% 8.20/6.34 tff(31096,plain,
% 8.20/6.34 ((v116(constB195) | v123(constB195)) | (~v116(constB195))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31097,plain,
% 8.20/6.34 (v116(constB195) | v123(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31096, 31095])).
% 8.20/6.34 tff(31098,plain,
% 8.20/6.34 ((~(v115(constB195) <=> (v116(constB195) | v123(constB195)))) | v115(constB195) | (~(v116(constB195) | v123(constB195)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31099,plain,
% 8.20/6.34 (v115(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31098, 31097, 31077])).
% 8.20/6.34 tff(31100,plain,
% 8.20/6.34 ((v115(constB195) | v124(constB195)) | (~v115(constB195))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31101,plain,
% 8.20/6.34 (v115(constB195) | v124(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31100, 31099])).
% 8.20/6.34 tff(31102,plain,
% 8.20/6.34 ((~(v114(constB195) <=> (v115(constB195) | v124(constB195)))) | v114(constB195) | (~(v115(constB195) | v124(constB195)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31103,plain,
% 8.20/6.34 (v114(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31102, 31101, 31075])).
% 8.20/6.34 tff(31104,plain,
% 8.20/6.34 ((v114(constB195) | v125(constB195)) | (~v114(constB195))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31105,plain,
% 8.20/6.34 (v114(constB195) | v125(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31104, 31103])).
% 8.20/6.34 tff(31106,plain,
% 8.20/6.34 ((~(v113(constB195) <=> (v114(constB195) | v125(constB195)))) | v113(constB195) | (~(v114(constB195) | v125(constB195)))),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31107,plain,
% 8.20/6.34 (v113(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31106, 31105, 31073])).
% 8.20/6.34 tff(31108,plain,
% 8.20/6.34 ((~![VarCurr: $i] : ((~v126(VarCurr)) <=> v111(VarCurr))) | ((~v126(constB195)) <=> v111(constB195))),
% 8.20/6.34 inference(quant_inst,[status(thm)],[])).
% 8.20/6.34 tff(31109,plain,
% 8.20/6.34 ((~v126(constB195)) <=> v111(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31108, 4118])).
% 8.20/6.34 tff(31110,plain,
% 8.20/6.34 ((~((~v126(constB195)) <=> v111(constB195))) | v126(constB195) | v111(constB195)),
% 8.20/6.34 inference(tautology,[status(thm)],[])).
% 8.20/6.34 tff(31111,plain,
% 8.20/6.34 ((~((~v126(constB195)) <=> v111(constB195))) | v126(constB195)),
% 8.20/6.34 inference(unit_resolution,[status(thm)],[31110, 30759])).
% 8.20/6.34 tff(31112,plain,
% 8.20/6.34 (v126(constB195)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31111, 31109])).
% 8.20/6.35 tff(31113,plain,
% 8.20/6.35 ((~((~v113(constB195)) | (~v126(constB195)))) | (~v113(constB195)) | (~v126(constB195))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31114,plain,
% 8.20/6.35 ((~((~v113(constB195)) | (~v126(constB195)))) | (~v113(constB195))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31113, 31112])).
% 8.20/6.35 tff(31115,plain,
% 8.20/6.35 (~((~v113(constB195)) | (~v126(constB195)))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31114, 31107])).
% 8.20/6.35 tff(31116,plain,
% 8.20/6.35 ((~(v112(constB195) <=> (~((~v113(constB195)) | (~v126(constB195)))))) | v112(constB195) | ((~v113(constB195)) | (~v126(constB195)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31117,plain,
% 8.20/6.35 (v112(constB195)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31116, 31115, 31071])).
% 8.20/6.35 tff(31118,plain,
% 8.20/6.35 ((v111(constB195) | v112(constB195)) | (~v112(constB195))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31119,plain,
% 8.20/6.35 (v111(constB195) | v112(constB195)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31118, 31117])).
% 8.20/6.35 tff(31120,plain,
% 8.20/6.35 ((~(v108(constB195) <=> (v111(constB195) | v112(constB195)))) | v108(constB195) | (~(v111(constB195) | v112(constB195)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31121,plain,
% 8.20/6.35 (v108(constB195)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31120, 31119, 31069])).
% 8.20/6.35 tff(31122,plain,
% 8.20/6.35 ((~(v110(constB196) <=> v108(constB195))) | v110(constB196) | (~v108(constB195))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31123,plain,
% 8.20/6.35 (v110(constB196)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31122, 31121, 31067])).
% 8.20/6.35 tff(31124,plain,
% 8.20/6.35 ((~((~v101(constB196)) | (~v110(constB196)))) | (~v101(constB196)) | (~v110(constB196))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31125,plain,
% 8.20/6.35 (~((~v101(constB196)) | (~v110(constB196)))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31124, 31123, 31063])).
% 8.20/6.35 tff(31126,plain,
% 8.20/6.35 ((~(v100(constB196) <=> (~((~v101(constB196)) | (~v110(constB196)))))) | v100(constB196) | ((~v101(constB196)) | (~v110(constB196)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31127,plain,
% 8.20/6.35 (v100(constB196)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31126, 31125, 31035])).
% 8.20/6.35 tff(31128,plain,
% 8.20/6.35 (((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(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)))))),
% 8.20/6.35 inference(rewrite,[status(thm)],[])).
% 8.20/6.35 tff(31129,plain,
% 8.20/6.35 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | ((~v100(constB196)) | (~(((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0)))))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31130,plain,
% 8.20/6.35 ((~![VarNext: $i] : ((~v100(VarNext)) | (~(((~v90(VarNext, bitIndex2)) <=> v129(VarNext, bitIndex2)) | ((~v90(VarNext, bitIndex1)) <=> v129(VarNext, bitIndex1)) | ((~v90(VarNext, bitIndex0)) <=> v129(VarNext, bitIndex0)))))) | (~v100(constB196)) | (~(((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))))),
% 8.20/6.35 inference(modus_ponens,[status(thm)],[31129, 31128])).
% 8.20/6.35 tff(31131,plain,
% 8.20/6.35 ((~v100(constB196)) | (~(((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31130, 4151])).
% 8.20/6.35 tff(31132,plain,
% 8.20/6.35 (~(((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0)))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31131, 31127])).
% 8.20/6.35 tff(31133,plain,
% 8.20/6.35 ((((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))) | (~((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31134,plain,
% 8.20/6.35 (~((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31133, 31132])).
% 8.20/6.35 tff(31135,plain,
% 8.20/6.35 (((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | (~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31136,plain,
% 8.20/6.35 (~v90(constB196, bitIndex2)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31135, 31134, 31031])).
% 8.20/6.35 tff(31137,plain,
% 8.20/6.35 (((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | (~v90(constB197, bitIndex2)) | v90(constB196, bitIndex2)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31138,plain,
% 8.20/6.35 (~v90(constB197, bitIndex2)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31137, 31136, 30743])).
% 8.20/6.35 tff(31139,plain,
% 8.20/6.35 (((~v88(constB197, bitIndex2)) <=> v90(constB197, bitIndex2)) | (~v88(constB197, bitIndex2)) | v90(constB197, bitIndex2)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31140,plain,
% 8.20/6.35 (~v88(constB197, bitIndex2)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31139, 31138, 30710])).
% 8.20/6.35 tff(31141,plain,
% 8.20/6.35 ((((~v88(constB197, bitIndex1)) <=> v90(constB197, bitIndex1)) | ((~v88(constB197, bitIndex2)) <=> v90(constB197, bitIndex2)) | ((~v88(constB197, bitIndex0)) <=> v90(constB197, bitIndex0))) | (~((~v88(constB197, bitIndex0)) <=> v90(constB197, bitIndex0)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31142,plain,
% 8.20/6.35 (~((~v88(constB197, bitIndex0)) <=> v90(constB197, bitIndex0))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31141, 30708])).
% 8.20/6.35 tff(31143,plain,
% 8.20/6.35 ((((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))) | (~((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31144,plain,
% 8.20/6.35 (~((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31143, 30741])).
% 8.20/6.35 tff(31145,plain,
% 8.20/6.35 ((((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0))) | (~((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31146,plain,
% 8.20/6.35 (~((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31145, 30750])).
% 8.20/6.35 tff(31147,plain,
% 8.20/6.35 ((((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1))) | (~((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31148,plain,
% 8.20/6.35 (~((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31147, 30764])).
% 8.20/6.35 tff(31149,plain,
% 8.20/6.35 ((v130(constB195, bitIndex2) | v130(constB195, bitIndex0) | (~v130(constB195, bitIndex1))) | (~v130(constB195, bitIndex0))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31150,plain,
% 8.20/6.35 (~v130(constB195, bitIndex0)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31149, 31025])).
% 8.20/6.35 tff(31151,plain,
% 8.20/6.35 (((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)) | (~v127(constB195, bitIndex0)) | v130(constB195, bitIndex0)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31152,plain,
% 8.20/6.35 (~v127(constB195, bitIndex0)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31151, 31150, 31148])).
% 8.20/6.35 tff(31153,plain,
% 8.20/6.35 (((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0)) | (~v129(constB196, bitIndex0)) | v127(constB195, bitIndex0)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31154,plain,
% 8.20/6.35 (~v129(constB196, bitIndex0)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31153, 31152, 31146])).
% 8.20/6.35 tff(31155,plain,
% 8.20/6.35 ((((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))) | (~((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31156,plain,
% 8.20/6.35 (~((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31155, 31132])).
% 8.20/6.35 tff(31157,plain,
% 8.20/6.35 (((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0)) | (~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31158,plain,
% 8.20/6.35 (~v90(constB196, bitIndex0)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31157, 31156, 31154])).
% 8.20/6.35 tff(31159,plain,
% 8.20/6.35 (((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0)) | (~v90(constB197, bitIndex0)) | v90(constB196, bitIndex0)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31160,plain,
% 8.20/6.35 (~v90(constB197, bitIndex0)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31159, 31158, 31144])).
% 8.20/6.35 tff(31161,plain,
% 8.20/6.35 (((~v88(constB197, bitIndex0)) <=> v90(constB197, bitIndex0)) | (~v88(constB197, bitIndex0)) | v90(constB197, bitIndex0)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31162,plain,
% 8.20/6.35 (~v88(constB197, bitIndex0)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31161, 31160, 31142])).
% 8.20/6.35 tff(31163,plain,
% 8.20/6.35 ((((~v88(constB197, bitIndex1)) <=> v90(constB197, bitIndex1)) | ((~v88(constB197, bitIndex2)) <=> v90(constB197, bitIndex2)) | ((~v88(constB197, bitIndex0)) <=> v90(constB197, bitIndex0))) | (~((~v88(constB197, bitIndex1)) <=> v90(constB197, bitIndex1)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31164,plain,
% 8.20/6.35 (~((~v88(constB197, bitIndex1)) <=> v90(constB197, bitIndex1))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31163, 30708])).
% 8.20/6.35 tff(31165,plain,
% 8.20/6.35 ((((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | ((~v90(constB197, bitIndex2)) <=> v90(constB196, bitIndex2)) | ((~v90(constB197, bitIndex0)) <=> v90(constB196, bitIndex0))) | (~((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31166,plain,
% 8.20/6.35 (~((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31165, 30741])).
% 8.20/6.35 tff(31167,plain,
% 8.20/6.35 ((((~v129(constB196, bitIndex2)) <=> v127(constB195, bitIndex2)) | ((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | ((~v129(constB196, bitIndex0)) <=> v127(constB195, bitIndex0))) | (~((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31168,plain,
% 8.20/6.35 (~((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31167, 30750])).
% 8.20/6.35 tff(31169,plain,
% 8.20/6.35 ((((~v127(constB195, bitIndex2)) <=> v130(constB195, bitIndex2)) | ((~v127(constB195, bitIndex0)) <=> v130(constB195, bitIndex0)) | ((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1))) | (~((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31170,plain,
% 8.20/6.35 (~((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31169, 30764])).
% 8.20/6.35 tff(31171,plain,
% 8.20/6.35 ((v130(constB195, bitIndex2) | v130(constB195, bitIndex0) | (~v130(constB195, bitIndex1))) | v130(constB195, bitIndex1)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31172,plain,
% 8.20/6.35 (v130(constB195, bitIndex1)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31171, 31025])).
% 8.20/6.35 tff(31173,plain,
% 8.20/6.35 (((~v127(constB195, bitIndex1)) <=> v130(constB195, bitIndex1)) | v127(constB195, bitIndex1) | (~v130(constB195, bitIndex1))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31174,plain,
% 8.20/6.35 (v127(constB195, bitIndex1)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31173, 31172, 31170])).
% 8.20/6.35 tff(31175,plain,
% 8.20/6.35 (((~v129(constB196, bitIndex1)) <=> v127(constB195, bitIndex1)) | v129(constB196, bitIndex1) | (~v127(constB195, bitIndex1))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31176,plain,
% 8.20/6.35 (v129(constB196, bitIndex1)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31175, 31174, 31168])).
% 8.20/6.35 tff(31177,plain,
% 8.20/6.35 ((((~v90(constB196, bitIndex2)) <=> v129(constB196, bitIndex2)) | ((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | ((~v90(constB196, bitIndex0)) <=> v129(constB196, bitIndex0))) | (~((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31178,plain,
% 8.20/6.35 (~((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31177, 31132])).
% 8.20/6.35 tff(31179,plain,
% 8.20/6.35 (((~v90(constB196, bitIndex1)) <=> v129(constB196, bitIndex1)) | v90(constB196, bitIndex1) | (~v129(constB196, bitIndex1))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31180,plain,
% 8.20/6.35 (v90(constB196, bitIndex1)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31179, 31178, 31176])).
% 8.20/6.35 tff(31181,plain,
% 8.20/6.35 (((~v90(constB197, bitIndex1)) <=> v90(constB196, bitIndex1)) | v90(constB197, bitIndex1) | (~v90(constB196, bitIndex1))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31182,plain,
% 8.20/6.35 (v90(constB197, bitIndex1)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31181, 31180, 31166])).
% 8.20/6.35 tff(31183,plain,
% 8.20/6.35 (((~v88(constB197, bitIndex1)) <=> v90(constB197, bitIndex1)) | v88(constB197, bitIndex1) | (~v90(constB197, bitIndex1))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31184,plain,
% 8.20/6.35 (v88(constB197, bitIndex1)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31183, 31182, 31164])).
% 8.20/6.35 tff(31185,plain,
% 8.20/6.35 ((~((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0))) | (~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31186,plain,
% 8.20/6.35 (~((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31185, 31184, 31162, 31140])).
% 8.20/6.35 tff(31187,plain,
% 8.20/6.35 ((~(v143(constB197) <=> (~((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0))))) | v143(constB197) | ((~v88(constB197, bitIndex1)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex0))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31188,plain,
% 8.20/6.35 (v143(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31187, 31186, 30706])).
% 8.20/6.35 tff(31189,plain,
% 8.20/6.35 ((v143(constB197) | v144(constB197)) | (~v143(constB197))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31190,plain,
% 8.20/6.35 (v143(constB197) | v144(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31189, 31188])).
% 8.20/6.35 tff(31191,plain,
% 8.20/6.35 ((~(v142(constB197) <=> (v143(constB197) | v144(constB197)))) | v142(constB197) | (~(v143(constB197) | v144(constB197)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31192,plain,
% 8.20/6.35 (v142(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31191, 31190, 30699])).
% 8.20/6.35 tff(31193,plain,
% 8.20/6.35 ((v142(constB197) | v166(constB197)) | (~v142(constB197))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31194,plain,
% 8.20/6.35 (v142(constB197) | v166(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31193, 31192])).
% 8.20/6.35 tff(31195,plain,
% 8.20/6.35 ((~(v165(constB197) <=> (v142(constB197) | v166(constB197)))) | v165(constB197) | (~(v142(constB197) | v166(constB197)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31196,plain,
% 8.20/6.35 ((~(v165(constB197) <=> (v142(constB197) | v166(constB197)))) | v165(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31195, 31194])).
% 8.20/6.35 tff(31197,plain,
% 8.20/6.35 (v165(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31196, 30697])).
% 8.20/6.35 tff(31198,plain,
% 8.20/6.35 ((v145(constB197) | v165(constB197)) | (~v165(constB197))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31199,plain,
% 8.20/6.35 (v145(constB197) | v165(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31198, 31197])).
% 8.20/6.35 tff(31200,plain,
% 8.20/6.35 ((~(v164(constB197) <=> (v145(constB197) | v165(constB197)))) | v164(constB197) | (~(v145(constB197) | v165(constB197)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31201,plain,
% 8.20/6.35 (v164(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31200, 31199, 30695])).
% 8.20/6.35 tff(31202,plain,
% 8.20/6.35 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB197)) | (v161(constB197) <=> v168(constB197)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB197)) | (v161(constB197) <=> v168(constB197)))),
% 8.20/6.35 inference(rewrite,[status(thm)],[])).
% 8.20/6.35 tff(31203,plain,
% 8.20/6.35 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB197)) | (v161(constB197) <=> v168(constB197)))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31204,plain,
% 8.20/6.35 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB197)) | (v161(constB197) <=> v168(constB197))),
% 8.20/6.35 inference(modus_ponens,[status(thm)],[31203, 31202])).
% 8.20/6.35 tff(31205,plain,
% 8.20/6.35 ((~v164(constB197)) | (v161(constB197) <=> v168(constB197))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31204, 12128])).
% 8.20/6.35 tff(31206,plain,
% 8.20/6.35 (v161(constB197) <=> v168(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31205, 31201])).
% 8.20/6.35 tff(31207,plain,
% 8.20/6.35 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2))))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31208,plain,
% 8.20/6.35 (v139(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2)))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31207, 12146])).
% 8.20/6.35 tff(31209,plain,
% 8.20/6.35 ((v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2)) | (~v88(constB197, bitIndex1))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31210,plain,
% 8.20/6.35 (v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31209, 31184])).
% 8.20/6.35 tff(31211,plain,
% 8.20/6.35 ((~(v139(constB197) <=> (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2))))) | (~v139(constB197)) | (~(v88(constB197, bitIndex0) | v88(constB197, bitIndex1) | v88(constB197, bitIndex2)))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31212,plain,
% 8.20/6.35 (~v139(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31211, 31210, 31208])).
% 8.20/6.35 tff(31213,plain,
% 8.20/6.35 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB197) <=> (~(v88(constB197, bitIndex1) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex0)))))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31214,plain,
% 8.20/6.35 (v140(constB197) <=> (~(v88(constB197, bitIndex1) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex0))))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31213, 12165])).
% 8.20/6.35 tff(31215,plain,
% 8.20/6.35 ((v88(constB197, bitIndex1) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex0))) | (~v88(constB197, bitIndex1))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31216,plain,
% 8.20/6.35 (v88(constB197, bitIndex1) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex0))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31215, 31184])).
% 8.20/6.35 tff(31217,plain,
% 8.20/6.35 ((~(v140(constB197) <=> (~(v88(constB197, bitIndex1) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex0)))))) | (~v140(constB197)) | (~(v88(constB197, bitIndex1) | v88(constB197, bitIndex2) | (~v88(constB197, bitIndex0))))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31218,plain,
% 8.20/6.35 (~v140(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31217, 31216, 31214])).
% 8.20/6.35 tff(31219,plain,
% 8.20/6.35 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB197) | v140(constB197) | (~v168(constB197)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB197) | v140(constB197) | (~v168(constB197)))),
% 8.20/6.35 inference(rewrite,[status(thm)],[])).
% 8.20/6.35 tff(31220,plain,
% 8.20/6.35 ((v140(constB197) | v139(constB197) | (~v168(constB197))) <=> (v139(constB197) | v140(constB197) | (~v168(constB197)))),
% 8.20/6.35 inference(rewrite,[status(thm)],[])).
% 8.20/6.35 tff(31221,plain,
% 8.20/6.35 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB197) | v139(constB197) | (~v168(constB197)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB197) | v140(constB197) | (~v168(constB197))))),
% 8.20/6.35 inference(monotonicity,[status(thm)],[31220])).
% 8.20/6.35 tff(31222,plain,
% 8.20/6.35 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB197) | v139(constB197) | (~v168(constB197)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB197) | v140(constB197) | (~v168(constB197)))),
% 8.20/6.35 inference(transitivity,[status(thm)],[31221, 31219])).
% 8.20/6.35 tff(31223,plain,
% 8.20/6.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB197) | v139(constB197) | (~v168(constB197)))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31224,plain,
% 8.20/6.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB197) | v140(constB197) | (~v168(constB197))),
% 8.20/6.35 inference(modus_ponens,[status(thm)],[31223, 31222])).
% 8.20/6.35 tff(31225,plain,
% 8.20/6.35 (v139(constB197) | v140(constB197) | (~v168(constB197))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31224, 12184])).
% 8.20/6.35 tff(31226,plain,
% 8.20/6.35 (~v168(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31225, 31218, 31212])).
% 8.20/6.35 tff(31227,plain,
% 8.20/6.35 ((~(v161(constB197) <=> v168(constB197))) | (~v161(constB197)) | v168(constB197)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31228,plain,
% 8.20/6.35 ((~(v161(constB197) <=> v168(constB197))) | (~v161(constB197))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31227, 31226])).
% 8.20/6.35 tff(31229,plain,
% 8.20/6.35 (~v161(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31228, 31206])).
% 8.20/6.35 tff(31230,plain,
% 8.20/6.35 ((~(v159(constB197) <=> v161(constB197))) | (~v159(constB197)) | v161(constB197)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31231,plain,
% 8.20/6.35 ((~(v159(constB197) <=> v161(constB197))) | (~v159(constB197))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31230, 31229])).
% 8.20/6.35 tff(31232,plain,
% 8.20/6.35 (~v159(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31231, 30693])).
% 8.20/6.35 tff(31233,plain,
% 8.20/6.35 (((~v184(constB197)) | (~v159(constB197))) | v159(constB197)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31234,plain,
% 8.20/6.35 ((~v184(constB197)) | (~v159(constB197))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31233, 31232])).
% 8.20/6.35 tff(31235,plain,
% 8.20/6.35 ((~(v187(constB197) <=> (~((~v184(constB197)) | (~v159(constB197)))))) | (~v187(constB197)) | (~((~v184(constB197)) | (~v159(constB197))))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31236,plain,
% 8.20/6.35 (~v187(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31235, 31234, 30691])).
% 8.20/6.35 tff(31237,plain,
% 8.20/6.35 (((~v186(constB197)) | (~v187(constB197))) | v187(constB197)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31238,plain,
% 8.20/6.35 ((~v186(constB197)) | (~v187(constB197))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31237, 31236])).
% 8.20/6.35 tff(31239,plain,
% 8.20/6.35 ((~(v185(constB197) <=> (~((~v186(constB197)) | (~v187(constB197)))))) | (~v185(constB197)) | (~((~v186(constB197)) | (~v187(constB197))))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31240,plain,
% 8.20/6.35 (~v185(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31239, 31238, 30689])).
% 8.20/6.35 tff(31241,plain,
% 8.20/6.35 ((~(v181(constB197) | v185(constB197))) | v181(constB197) | v185(constB197)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31242,plain,
% 8.20/6.35 (~(v181(constB197) | v185(constB197))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31241, 31240, 30687])).
% 8.20/6.35 tff(31243,plain,
% 8.20/6.35 ((~(v178(constB197) <=> (v181(constB197) | v185(constB197)))) | (~v178(constB197)) | (v181(constB197) | v185(constB197))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31244,plain,
% 8.20/6.35 (~v178(constB197)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31243, 31242, 30611])).
% 8.20/6.35 tff(31245,plain,
% 8.20/6.35 ((~(v180(constB198) <=> v178(constB197))) | (~v180(constB198)) | v178(constB197)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31246,plain,
% 8.20/6.35 (~v180(constB198)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31245, 31244, 30609])).
% 8.20/6.35 tff(31247,plain,
% 8.20/6.35 ((~(v157(constB198) <=> v180(constB198))) | (~v157(constB198)) | v180(constB198)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31248,plain,
% 8.20/6.35 (~v157(constB198)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31247, 31246, 30602])).
% 8.20/6.35 tff(31249,plain,
% 8.20/6.35 (((~v157(constB198)) | (~v182(constB198))) | v157(constB198)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31250,plain,
% 8.20/6.35 ((~v157(constB198)) | (~v182(constB198))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31249, 31248])).
% 8.20/6.35 tff(31251,plain,
% 8.20/6.35 ((~(v181(constB198) <=> (~((~v157(constB198)) | (~v182(constB198)))))) | (~v181(constB198)) | (~((~v157(constB198)) | (~v182(constB198))))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31252,plain,
% 8.20/6.35 (~v181(constB198)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31251, 31250, 30600])).
% 8.20/6.35 tff(31253,plain,
% 8.20/6.35 ((~(v181(constB198) | v185(constB198))) | v181(constB198) | v185(constB198)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31254,plain,
% 8.20/6.35 (~(v181(constB198) | v185(constB198))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31253, 31252, 30593])).
% 8.20/6.35 tff(31255,plain,
% 8.20/6.35 ((~(v178(constB198) <=> (v181(constB198) | v185(constB198)))) | (~v178(constB198)) | (v181(constB198) | v185(constB198))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31256,plain,
% 8.20/6.35 (~v178(constB198)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31255, 31254, 30565])).
% 8.20/6.35 tff(31257,plain,
% 8.20/6.35 ((~(v180(constB199) <=> v178(constB198))) | (~v180(constB199)) | v178(constB198)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31258,plain,
% 8.20/6.35 (~v180(constB199)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31257, 31256, 30563])).
% 8.20/6.35 tff(31259,plain,
% 8.20/6.35 ($false),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31258, 30556])).
% 8.20/6.35 tff(31260,plain,(~(constB199 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.20/6.35 tff(31261,assumption,(constB147 = VarCurr!0), introduced(assumption)).
% 8.20/6.35 tff(31262,plain,
% 8.20/6.35 (v180(constB147) <=> v180(VarCurr!0)),
% 8.20/6.35 inference(monotonicity,[status(thm)],[31261])).
% 8.20/6.35 tff(31263,plain,
% 8.20/6.35 (v180(VarCurr!0) <=> v180(constB147)),
% 8.20/6.35 inference(symmetry,[status(thm)],[31262])).
% 8.20/6.35 tff(31264,plain,
% 8.20/6.35 (v180(constB147)),
% 8.20/6.35 inference(modus_ponens,[status(thm)],[59, 31263])).
% 8.20/6.35 tff(31265,plain,
% 8.20/6.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB146, constB147)) | (v180(constB147) <=> v178(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB146, constB147)) | (v180(constB147) <=> v178(constB146)))),
% 8.20/6.35 inference(rewrite,[status(thm)],[])).
% 8.20/6.35 tff(31266,plain,
% 8.20/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB146, constB147)) | (v180(constB147) <=> v178(constB146)))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31267,plain,
% 8.20/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB146, constB147)) | (v180(constB147) <=> v178(constB146))),
% 8.20/6.35 inference(modus_ponens,[status(thm)],[31266, 31265])).
% 8.20/6.35 tff(31268,plain,
% 8.20/6.35 (v180(constB147) <=> v178(constB146)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31267, 13666, 70])).
% 8.20/6.35 tff(31269,plain,
% 8.20/6.35 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB146) <=> (v181(constB146) | v185(constB146)))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31270,plain,
% 8.20/6.35 (v178(constB146) <=> (v181(constB146) | v185(constB146))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31269, 84])).
% 8.20/6.35 tff(31271,plain,
% 8.20/6.35 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB146) <=> (~((~v186(constB146)) | (~v187(constB146)))))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31272,plain,
% 8.20/6.35 (v185(constB146) <=> (~((~v186(constB146)) | (~v187(constB146))))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31271, 96])).
% 8.20/6.35 tff(31273,plain,
% 8.20/6.35 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB146) <=> (~((~v184(constB146)) | (~v159(constB146)))))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31274,plain,
% 8.20/6.35 (v187(constB146) <=> (~((~v184(constB146)) | (~v159(constB146))))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31273, 108])).
% 8.20/6.35 tff(31275,plain,
% 8.20/6.35 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31276,plain,
% 8.20/6.35 (v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146))))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31275, 120])).
% 8.20/6.35 tff(31277,plain,
% 8.20/6.35 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB146)) <=> v1(constB146))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31278,plain,
% 8.20/6.35 ((~v39(constB146)) <=> v1(constB146)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31277, 129])).
% 8.20/6.35 tff(31279,plain,
% 8.20/6.35 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146)) | (~v1(constB146))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31280,plain,
% 8.20/6.35 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31279, 18379])).
% 8.20/6.35 tff(31281,plain,
% 8.20/6.35 (~v39(constB146)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31280, 31278])).
% 8.20/6.35 tff(31282,plain,
% 8.20/6.35 (((~v39(constB146)) | (~v9(constB146))) | v39(constB146)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31283,plain,
% 8.20/6.35 ((~v39(constB146)) | (~v9(constB146))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31282, 31281])).
% 8.20/6.35 tff(31284,plain,
% 8.20/6.35 ((~(v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v184(constB146)) | (~((~v39(constB146)) | (~v9(constB146))))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31285,plain,
% 8.20/6.35 ((~(v184(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v184(constB146))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31284, 31283])).
% 8.20/6.35 tff(31286,plain,
% 8.20/6.35 (~v184(constB146)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31285, 31276])).
% 8.20/6.35 tff(31287,plain,
% 8.20/6.35 (((~v184(constB146)) | (~v159(constB146))) | v184(constB146)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31288,plain,
% 8.20/6.35 ((~v184(constB146)) | (~v159(constB146))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31287, 31286])).
% 8.20/6.35 tff(31289,plain,
% 8.20/6.35 ((~(v187(constB146) <=> (~((~v184(constB146)) | (~v159(constB146)))))) | (~v187(constB146)) | (~((~v184(constB146)) | (~v159(constB146))))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31290,plain,
% 8.20/6.35 ((~(v187(constB146) <=> (~((~v184(constB146)) | (~v159(constB146)))))) | (~v187(constB146))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31289, 31288])).
% 8.20/6.35 tff(31291,plain,
% 8.20/6.35 (~v187(constB146)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31290, 31274])).
% 8.20/6.35 tff(31292,plain,
% 8.20/6.35 (((~v186(constB146)) | (~v187(constB146))) | v187(constB146)),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31293,plain,
% 8.20/6.35 ((~v186(constB146)) | (~v187(constB146))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31292, 31291])).
% 8.20/6.35 tff(31294,plain,
% 8.20/6.35 ((~(v185(constB146) <=> (~((~v186(constB146)) | (~v187(constB146)))))) | (~v185(constB146)) | (~((~v186(constB146)) | (~v187(constB146))))),
% 8.20/6.35 inference(tautology,[status(thm)],[])).
% 8.20/6.35 tff(31295,plain,
% 8.20/6.35 (~v185(constB146)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31294, 31293, 31272])).
% 8.20/6.35 tff(31296,plain,
% 8.20/6.35 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146))))))),
% 8.20/6.35 inference(rewrite,[status(thm)],[])).
% 8.20/6.35 tff(31297,plain,
% 8.20/6.35 ((v181(constB146) <=> (~((~v182(constB146)) | (~v157(constB146))))) <=> (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146)))))),
% 8.20/6.35 inference(rewrite,[status(thm)],[])).
% 8.20/6.35 tff(31298,plain,
% 8.20/6.35 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v182(constB146)) | (~v157(constB146)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146))))))),
% 8.20/6.35 inference(monotonicity,[status(thm)],[31297])).
% 8.20/6.35 tff(31299,plain,
% 8.20/6.35 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v182(constB146)) | (~v157(constB146)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146))))))),
% 8.20/6.35 inference(transitivity,[status(thm)],[31298, 31296])).
% 8.20/6.35 tff(31300,plain,
% 8.20/6.35 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v182(constB146)) | (~v157(constB146)))))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31301,plain,
% 8.20/6.35 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146)))))),
% 8.20/6.35 inference(modus_ponens,[status(thm)],[31300, 31299])).
% 8.20/6.35 tff(31302,plain,
% 8.20/6.35 (v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146))))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31301, 161])).
% 8.20/6.35 tff(31303,plain,
% 8.20/6.35 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB146) <=> v180(constB146))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31304,plain,
% 8.20/6.35 (v157(constB146) <=> v180(constB146)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31303, 13])).
% 8.20/6.35 tff(31305,plain,
% 8.20/6.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB145, constB146)) | (v180(constB146) <=> v178(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB145, constB146)) | (v180(constB146) <=> v178(constB145)))),
% 8.20/6.35 inference(rewrite,[status(thm)],[])).
% 8.20/6.35 tff(31306,plain,
% 8.20/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB145, constB146)) | (v180(constB146) <=> v178(constB145)))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31307,plain,
% 8.20/6.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB145, constB146)) | (v180(constB146) <=> v178(constB145))),
% 8.20/6.35 inference(modus_ponens,[status(thm)],[31306, 31305])).
% 8.20/6.35 tff(31308,plain,
% 8.20/6.35 (v180(constB146) <=> v178(constB145)),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31307, 13702, 70])).
% 8.20/6.35 tff(31309,plain,
% 8.20/6.35 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB145) <=> (v181(constB145) | v185(constB145)))),
% 8.20/6.35 inference(quant_inst,[status(thm)],[])).
% 8.20/6.35 tff(31310,plain,
% 8.20/6.35 (v178(constB145) <=> (v181(constB145) | v185(constB145))),
% 8.20/6.35 inference(unit_resolution,[status(thm)],[31309, 84])).
% 8.20/6.35 tff(31311,plain,
% 8.20/6.35 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145))))))),
% 8.20/6.36 inference(rewrite,[status(thm)],[])).
% 8.20/6.36 tff(31312,plain,
% 8.20/6.36 ((v181(constB145) <=> (~((~v182(constB145)) | (~v157(constB145))))) <=> (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145)))))),
% 8.20/6.36 inference(rewrite,[status(thm)],[])).
% 8.20/6.36 tff(31313,plain,
% 8.20/6.36 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v182(constB145)) | (~v157(constB145)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145))))))),
% 8.20/6.36 inference(monotonicity,[status(thm)],[31312])).
% 8.20/6.36 tff(31314,plain,
% 8.20/6.36 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v182(constB145)) | (~v157(constB145)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145))))))),
% 8.20/6.36 inference(transitivity,[status(thm)],[31313, 31311])).
% 8.20/6.36 tff(31315,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v182(constB145)) | (~v157(constB145)))))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31316,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145)))))),
% 8.20/6.36 inference(modus_ponens,[status(thm)],[31315, 31314])).
% 8.20/6.36 tff(31317,plain,
% 8.20/6.36 (v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145))))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31316, 161])).
% 8.20/6.36 tff(31318,plain,
% 8.20/6.36 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB145)) <=> v183(constB145))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31319,plain,
% 8.20/6.36 ((~v182(constB145)) <=> v183(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31318, 193])).
% 8.20/6.36 tff(31320,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB145) <=> (v184(constB145) | v26(constB145)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31321,plain,
% 8.20/6.36 (v183(constB145) <=> (v184(constB145) | v26(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31320, 202])).
% 8.20/6.36 tff(31322,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31323,plain,
% 8.20/6.36 (v184(constB145) <=> (~((~v39(constB145)) | (~v9(constB145))))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31322, 120])).
% 8.20/6.36 tff(31324,plain,
% 8.20/6.36 (((~![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)))),
% 8.20/6.36 inference(rewrite,[status(thm)],[])).
% 8.20/6.36 tff(31325,plain,
% 8.20/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31326,plain,
% 8.20/6.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145))),
% 8.20/6.36 inference(modus_ponens,[status(thm)],[31325, 31324])).
% 8.20/6.36 tff(31327,plain,
% 8.20/6.36 (v13(constB146) <=> v9(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31326, 13702, 216])).
% 8.20/6.36 tff(31328,plain,
% 8.20/6.36 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB146) <=> v13(constB146))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31329,plain,
% 8.20/6.36 (v6(constB146) <=> v13(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31328, 230])).
% 8.20/6.36 tff(31330,plain,
% 8.20/6.36 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB146)) <=> v6(constB146))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31331,plain,
% 8.20/6.36 ((~v21(constB146)) <=> v6(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31330, 239])).
% 8.20/6.36 tff(31332,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB146) <=> (v20(constB146) | v21(constB146)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31333,plain,
% 8.20/6.36 (v19(constB146) <=> (v20(constB146) | v21(constB146))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31332, 248])).
% 8.20/6.36 tff(31334,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31335,plain,
% 8.20/6.36 (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146))))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31334, 260])).
% 8.20/6.36 tff(31336,plain,
% 8.20/6.36 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB146)) <=> v18(constB146))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31337,plain,
% 8.20/6.36 ((~v4(constB146)) <=> v18(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31336, 269])).
% 8.20/6.36 tff(31338,plain,
% 8.20/6.36 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB146)),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31339,plain,
% 8.20/6.36 (v4(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31338, 278])).
% 8.20/6.36 tff(31340,plain,
% 8.20/6.36 ((~((~v4(constB146)) <=> v18(constB146))) | (~v4(constB146)) | (~v18(constB146))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31341,plain,
% 8.20/6.36 (~v18(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31340, 31339, 31337])).
% 8.20/6.36 tff(31342,plain,
% 8.20/6.36 ((~(v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))) | v18(constB146) | ((~v19(constB146)) | (~v22(constB146)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31343,plain,
% 8.20/6.36 ((~v19(constB146)) | (~v22(constB146))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31342, 31341, 31335])).
% 8.20/6.36 tff(31344,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB146) <=> (v1(constB146) | v6(constB146)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31345,plain,
% 8.20/6.36 (v22(constB146) <=> (v1(constB146) | v6(constB146))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31344, 291])).
% 8.20/6.36 tff(31346,plain,
% 8.20/6.36 ((v1(constB146) | v6(constB146)) | (~v1(constB146))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31347,plain,
% 8.20/6.36 (v1(constB146) | v6(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31346, 18379])).
% 8.20/6.36 tff(31348,plain,
% 8.20/6.36 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146) | (~(v1(constB146) | v6(constB146)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31349,plain,
% 8.20/6.36 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31348, 31347])).
% 8.20/6.36 tff(31350,plain,
% 8.20/6.36 (v22(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31349, 31345])).
% 8.20/6.36 tff(31351,plain,
% 8.20/6.36 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146)) | (~v22(constB146))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31352,plain,
% 8.20/6.36 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31351, 31350])).
% 8.20/6.36 tff(31353,plain,
% 8.20/6.36 (~v19(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31352, 31343])).
% 8.20/6.36 tff(31354,plain,
% 8.20/6.36 ((~(v19(constB146) <=> (v20(constB146) | v21(constB146)))) | v19(constB146) | (~(v20(constB146) | v21(constB146)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31355,plain,
% 8.20/6.36 (~(v20(constB146) | v21(constB146))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31354, 31353, 31333])).
% 8.20/6.36 tff(31356,plain,
% 8.20/6.36 ((v20(constB146) | v21(constB146)) | (~v21(constB146))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31357,plain,
% 8.20/6.36 (~v21(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31356, 31355])).
% 8.20/6.36 tff(31358,plain,
% 8.20/6.36 ((~((~v21(constB146)) <=> v6(constB146))) | v21(constB146) | v6(constB146)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31359,plain,
% 8.20/6.36 (v6(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31358, 31357, 31331])).
% 8.20/6.36 tff(31360,plain,
% 8.20/6.36 ((~(v6(constB146) <=> v13(constB146))) | (~v6(constB146)) | v13(constB146)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31361,plain,
% 8.20/6.36 (v13(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31360, 31359, 31329])).
% 8.20/6.36 tff(31362,plain,
% 8.20/6.36 ((~(v13(constB146) <=> v9(constB145))) | (~v13(constB146)) | v9(constB145)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31363,plain,
% 8.20/6.36 (v9(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31362, 31361, 31327])).
% 8.20/6.36 tff(31364,plain,
% 8.20/6.36 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB145)) <=> v1(constB145))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31365,plain,
% 8.20/6.36 ((~v39(constB145)) <=> v1(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31364, 129])).
% 8.20/6.36 tff(31366,plain,
% 8.20/6.36 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145) | v1(constB145)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31367,plain,
% 8.20/6.36 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31366, 13741])).
% 8.20/6.36 tff(31368,plain,
% 8.20/6.36 (v39(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31367, 31365])).
% 8.20/6.36 tff(31369,plain,
% 8.20/6.36 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v39(constB145)) | (~v9(constB145))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31370,plain,
% 8.20/6.36 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v9(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31369, 31368])).
% 8.20/6.36 tff(31371,plain,
% 8.20/6.36 (~((~v39(constB145)) | (~v9(constB145)))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31370, 31363])).
% 8.20/6.36 tff(31372,plain,
% 8.20/6.36 ((~(v184(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))) | v184(constB145) | ((~v39(constB145)) | (~v9(constB145)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31373,plain,
% 8.20/6.36 (v184(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31372, 31371, 31323])).
% 8.20/6.36 tff(31374,plain,
% 8.20/6.36 ((v184(constB145) | v26(constB145)) | (~v184(constB145))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31375,plain,
% 8.20/6.36 (v184(constB145) | v26(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31374, 31373])).
% 8.20/6.36 tff(31376,plain,
% 8.20/6.36 ((~(v183(constB145) <=> (v184(constB145) | v26(constB145)))) | v183(constB145) | (~(v184(constB145) | v26(constB145)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31377,plain,
% 8.20/6.36 (v183(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31376, 31375, 31321])).
% 8.20/6.36 tff(31378,plain,
% 8.20/6.36 ((~((~v182(constB145)) <=> v183(constB145))) | (~v182(constB145)) | (~v183(constB145))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31379,plain,
% 8.20/6.36 (~v182(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31378, 31377, 31319])).
% 8.20/6.36 tff(31380,plain,
% 8.20/6.36 (((~v157(constB145)) | (~v182(constB145))) | v182(constB145)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31381,plain,
% 8.20/6.36 ((~v157(constB145)) | (~v182(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31380, 31379])).
% 8.20/6.36 tff(31382,plain,
% 8.20/6.36 ((~(v181(constB145) <=> (~((~v157(constB145)) | (~v182(constB145)))))) | (~v181(constB145)) | (~((~v157(constB145)) | (~v182(constB145))))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31383,plain,
% 8.20/6.36 (~v181(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31382, 31381, 31317])).
% 8.20/6.36 tff(31384,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB145) <=> (~((~v186(constB145)) | (~v187(constB145)))))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31385,plain,
% 8.20/6.36 (v185(constB145) <=> (~((~v186(constB145)) | (~v187(constB145))))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31384, 96])).
% 8.20/6.36 tff(31386,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB145) <=> (~((~v184(constB145)) | (~v159(constB145)))))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31387,plain,
% 8.20/6.36 (v187(constB145) <=> (~((~v184(constB145)) | (~v159(constB145))))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31386, 108])).
% 8.20/6.36 tff(31388,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB145) <=> v161(constB145))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31389,plain,
% 8.20/6.36 (v159(constB145) <=> v161(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31388, 345])).
% 8.20/6.36 tff(31390,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB145) <=> (v145(constB145) | v165(constB145)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31391,plain,
% 8.20/6.36 (v164(constB145) <=> (v145(constB145) | v165(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31390, 357])).
% 8.20/6.36 tff(31392,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB145) <=> (v142(constB145) | v166(constB145)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31393,plain,
% 8.20/6.36 (v165(constB145) <=> (v142(constB145) | v166(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31392, 369])).
% 8.20/6.36 tff(31394,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB145) <=> (v143(constB145) | v144(constB145)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31395,plain,
% 8.20/6.36 (v142(constB145) <=> (v143(constB145) | v144(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31394, 21792])).
% 8.20/6.36 tff(31396,plain,
% 8.20/6.36 (((~![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)))))),
% 8.20/6.36 inference(rewrite,[status(thm)],[])).
% 8.20/6.36 tff(31397,plain,
% 8.20/6.36 ((v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2))))) <=> (v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))))),
% 8.20/6.36 inference(rewrite,[status(thm)],[])).
% 8.20/6.36 tff(31398,plain,
% 8.20/6.36 (((~![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)))))),
% 8.20/6.36 inference(monotonicity,[status(thm)],[31397])).
% 8.20/6.36 tff(31399,plain,
% 8.20/6.36 (((~![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)))))),
% 8.20/6.36 inference(transitivity,[status(thm)],[31398, 31396])).
% 8.20/6.36 tff(31400,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~(v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)))))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31401,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))))),
% 8.20/6.36 inference(modus_ponens,[status(thm)],[31400, 31399])).
% 8.20/6.36 tff(31402,plain,
% 8.20/6.36 (v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0)))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31401, 21807])).
% 8.20/6.36 tff(31403,plain,
% 8.20/6.36 ((~![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))))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31404,plain,
% 8.20/6.36 (~(((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)) | ((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)) | ((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0)))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31403, 416])).
% 8.20/6.36 tff(31405,plain,
% 8.20/6.36 ((((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)) | ((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)) | ((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0))) | (~((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31406,plain,
% 8.20/6.36 (~((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31405, 31404])).
% 8.20/6.36 tff(31407,plain,
% 8.20/6.36 (((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)) | v88(constB145, bitIndex2) | (~v90(constB145, bitIndex2))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31408,plain,
% 8.20/6.36 (v88(constB145, bitIndex2)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31407, 18263, 31406])).
% 8.20/6.36 tff(31409,plain,
% 8.20/6.36 ((((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)) | ((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)) | ((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0))) | (~((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31410,plain,
% 8.20/6.36 (~((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31409, 31404])).
% 8.20/6.36 tff(31411,plain,
% 8.20/6.36 (((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0)) | (~v88(constB145, bitIndex0)) | v90(constB145, bitIndex0)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31412,plain,
% 8.20/6.36 (~v88(constB145, bitIndex0)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31411, 18414, 31410])).
% 8.20/6.36 tff(31413,plain,
% 8.20/6.36 ((((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)) | ((~v88(constB145, bitIndex2)) <=> v90(constB145, bitIndex2)) | ((~v88(constB145, bitIndex0)) <=> v90(constB145, bitIndex0))) | (~((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31414,plain,
% 8.20/6.36 (~((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31413, 31404])).
% 8.20/6.36 tff(31415,plain,
% 8.20/6.36 (((~v88(constB145, bitIndex1)) <=> v90(constB145, bitIndex1)) | v88(constB145, bitIndex1) | (~v90(constB145, bitIndex1))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31416,plain,
% 8.20/6.36 (v88(constB145, bitIndex1)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31415, 18292, 31414])).
% 8.20/6.36 tff(31417,plain,
% 8.20/6.36 ((~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))) | (~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31418,plain,
% 8.20/6.36 (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31417, 31416, 31412, 31408])).
% 8.20/6.36 tff(31419,plain,
% 8.20/6.36 ((~(v144(constB145) <=> (~((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))))) | v144(constB145) | ((~v88(constB145, bitIndex1)) | (~v88(constB145, bitIndex2)) | v88(constB145, bitIndex0))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31420,plain,
% 8.20/6.36 (v144(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31419, 31418, 31402])).
% 8.20/6.36 tff(31421,plain,
% 8.20/6.36 ((v143(constB145) | v144(constB145)) | (~v144(constB145))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31422,plain,
% 8.20/6.36 (v143(constB145) | v144(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31421, 31420])).
% 8.20/6.36 tff(31423,plain,
% 8.20/6.36 ((~(v142(constB145) <=> (v143(constB145) | v144(constB145)))) | v142(constB145) | (~(v143(constB145) | v144(constB145)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31424,plain,
% 8.20/6.36 (v142(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31423, 31422, 31395])).
% 8.20/6.36 tff(31425,plain,
% 8.20/6.36 ((v142(constB145) | v166(constB145)) | (~v142(constB145))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31426,plain,
% 8.20/6.36 (v142(constB145) | v166(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31425, 31424])).
% 8.20/6.36 tff(31427,plain,
% 8.20/6.36 ((~(v165(constB145) <=> (v142(constB145) | v166(constB145)))) | v165(constB145) | (~(v142(constB145) | v166(constB145)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31428,plain,
% 8.20/6.36 ((~(v165(constB145) <=> (v142(constB145) | v166(constB145)))) | v165(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31427, 31426])).
% 8.20/6.36 tff(31429,plain,
% 8.20/6.36 (v165(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31428, 31393])).
% 8.20/6.36 tff(31430,plain,
% 8.20/6.36 ((v145(constB145) | v165(constB145)) | (~v165(constB145))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31431,plain,
% 8.20/6.36 (v145(constB145) | v165(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31430, 31429])).
% 8.20/6.36 tff(31432,plain,
% 8.20/6.36 ((~(v164(constB145) <=> (v145(constB145) | v165(constB145)))) | v164(constB145) | (~(v145(constB145) | v165(constB145)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31433,plain,
% 8.20/6.36 (v164(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31432, 31431, 31391])).
% 8.20/6.36 tff(31434,plain,
% 8.20/6.36 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB145)) | (v161(constB145) <=> v168(constB145)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB145)) | (v161(constB145) <=> v168(constB145)))),
% 8.20/6.36 inference(rewrite,[status(thm)],[])).
% 8.20/6.36 tff(31435,plain,
% 8.20/6.36 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB145)) | (v161(constB145) <=> v168(constB145)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31436,plain,
% 8.20/6.36 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB145)) | (v161(constB145) <=> v168(constB145))),
% 8.20/6.36 inference(modus_ponens,[status(thm)],[31435, 31434])).
% 8.20/6.36 tff(31437,plain,
% 8.20/6.36 ((~v164(constB145)) | (v161(constB145) <=> v168(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31436, 12128])).
% 8.20/6.36 tff(31438,plain,
% 8.20/6.36 (v161(constB145) <=> v168(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31437, 31433])).
% 8.20/6.36 tff(31439,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB145) <=> (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2))))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31440,plain,
% 8.20/6.36 (v139(constB145) <=> (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31439, 12146])).
% 8.20/6.36 tff(31441,plain,
% 8.20/6.36 ((v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex2))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31442,plain,
% 8.20/6.36 (v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31441, 31408])).
% 8.20/6.36 tff(31443,plain,
% 8.20/6.36 ((~(v139(constB145) <=> (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2))))) | (~v139(constB145)) | (~(v88(constB145, bitIndex0) | v88(constB145, bitIndex1) | v88(constB145, bitIndex2)))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31444,plain,
% 8.20/6.36 (~v139(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31443, 31442, 31440])).
% 8.20/6.36 tff(31445,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB145) <=> (~(v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0)))))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31446,plain,
% 8.20/6.36 (v140(constB145) <=> (~(v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0))))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31445, 12165])).
% 8.20/6.36 tff(31447,plain,
% 8.20/6.36 ((v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0))) | (~v88(constB145, bitIndex2))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31448,plain,
% 8.20/6.36 (v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31447, 31408])).
% 8.20/6.36 tff(31449,plain,
% 8.20/6.36 ((~(v140(constB145) <=> (~(v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0)))))) | (~v140(constB145)) | (~(v88(constB145, bitIndex1) | v88(constB145, bitIndex2) | (~v88(constB145, bitIndex0))))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31450,plain,
% 8.20/6.36 (~v140(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31449, 31448, 31446])).
% 8.20/6.36 tff(31451,plain,
% 8.20/6.36 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v168(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB145) | v140(constB145) | (~v168(constB145)))),
% 8.20/6.36 inference(rewrite,[status(thm)],[])).
% 8.20/6.36 tff(31452,plain,
% 8.20/6.36 ((v140(constB145) | v139(constB145) | (~v168(constB145))) <=> (v139(constB145) | v140(constB145) | (~v168(constB145)))),
% 8.20/6.36 inference(rewrite,[status(thm)],[])).
% 8.20/6.36 tff(31453,plain,
% 8.20/6.36 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v168(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v168(constB145))))),
% 8.20/6.36 inference(monotonicity,[status(thm)],[31452])).
% 8.20/6.36 tff(31454,plain,
% 8.20/6.36 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v168(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB145) | v140(constB145) | (~v168(constB145)))),
% 8.20/6.36 inference(transitivity,[status(thm)],[31453, 31451])).
% 8.20/6.36 tff(31455,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v168(constB145)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31456,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB145) | v140(constB145) | (~v168(constB145))),
% 8.20/6.36 inference(modus_ponens,[status(thm)],[31455, 31454])).
% 8.20/6.36 tff(31457,plain,
% 8.20/6.36 (v139(constB145) | v140(constB145) | (~v168(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31456, 12184])).
% 8.20/6.36 tff(31458,plain,
% 8.20/6.36 (~v168(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31457, 31450, 31444])).
% 8.20/6.36 tff(31459,plain,
% 8.20/6.36 ((~(v161(constB145) <=> v168(constB145))) | (~v161(constB145)) | v168(constB145)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31460,plain,
% 8.20/6.36 ((~(v161(constB145) <=> v168(constB145))) | (~v161(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31459, 31458])).
% 8.20/6.36 tff(31461,plain,
% 8.20/6.36 (~v161(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31460, 31438])).
% 8.20/6.36 tff(31462,plain,
% 8.20/6.36 ((~(v159(constB145) <=> v161(constB145))) | (~v159(constB145)) | v161(constB145)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31463,plain,
% 8.20/6.36 ((~(v159(constB145) <=> v161(constB145))) | (~v159(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31462, 31461])).
% 8.20/6.36 tff(31464,plain,
% 8.20/6.36 (~v159(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31463, 31389])).
% 8.20/6.36 tff(31465,plain,
% 8.20/6.36 (((~v184(constB145)) | (~v159(constB145))) | v159(constB145)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31466,plain,
% 8.20/6.36 ((~v184(constB145)) | (~v159(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31465, 31464])).
% 8.20/6.36 tff(31467,plain,
% 8.20/6.36 ((~(v187(constB145) <=> (~((~v184(constB145)) | (~v159(constB145)))))) | (~v187(constB145)) | (~((~v184(constB145)) | (~v159(constB145))))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31468,plain,
% 8.20/6.36 (~v187(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31467, 31466, 31387])).
% 8.20/6.36 tff(31469,plain,
% 8.20/6.36 (((~v186(constB145)) | (~v187(constB145))) | v187(constB145)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31470,plain,
% 8.20/6.36 ((~v186(constB145)) | (~v187(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31469, 31468])).
% 8.20/6.36 tff(31471,plain,
% 8.20/6.36 ((~(v185(constB145) <=> (~((~v186(constB145)) | (~v187(constB145)))))) | (~v185(constB145)) | (~((~v186(constB145)) | (~v187(constB145))))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31472,plain,
% 8.20/6.36 (~v185(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31471, 31470, 31385])).
% 8.20/6.36 tff(31473,plain,
% 8.20/6.36 ((~(v181(constB145) | v185(constB145))) | v181(constB145) | v185(constB145)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31474,plain,
% 8.20/6.36 (~(v181(constB145) | v185(constB145))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31473, 31472, 31383])).
% 8.20/6.36 tff(31475,plain,
% 8.20/6.36 ((~(v178(constB145) <=> (v181(constB145) | v185(constB145)))) | (~v178(constB145)) | (v181(constB145) | v185(constB145))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31476,plain,
% 8.20/6.36 (~v178(constB145)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31475, 31474, 31310])).
% 8.20/6.36 tff(31477,plain,
% 8.20/6.36 ((~(v180(constB146) <=> v178(constB145))) | (~v180(constB146)) | v178(constB145)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31478,plain,
% 8.20/6.36 (~v180(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31477, 31476, 31308])).
% 8.20/6.36 tff(31479,plain,
% 8.20/6.36 ((~(v157(constB146) <=> v180(constB146))) | (~v157(constB146)) | v180(constB146)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31480,plain,
% 8.20/6.36 (~v157(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31479, 31478, 31304])).
% 8.20/6.36 tff(31481,plain,
% 8.20/6.36 (((~v157(constB146)) | (~v182(constB146))) | v157(constB146)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31482,plain,
% 8.20/6.36 ((~v157(constB146)) | (~v182(constB146))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31481, 31480])).
% 8.20/6.36 tff(31483,plain,
% 8.20/6.36 ((~(v181(constB146) <=> (~((~v157(constB146)) | (~v182(constB146)))))) | (~v181(constB146)) | (~((~v157(constB146)) | (~v182(constB146))))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31484,plain,
% 8.20/6.36 (~v181(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31483, 31482, 31302])).
% 8.20/6.36 tff(31485,plain,
% 8.20/6.36 ((~(v181(constB146) | v185(constB146))) | v181(constB146) | v185(constB146)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31486,plain,
% 8.20/6.36 (~(v181(constB146) | v185(constB146))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31485, 31484, 31295])).
% 8.20/6.36 tff(31487,plain,
% 8.20/6.36 ((~(v178(constB146) <=> (v181(constB146) | v185(constB146)))) | (~v178(constB146)) | (v181(constB146) | v185(constB146))),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31488,plain,
% 8.20/6.36 (~v178(constB146)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31487, 31486, 31270])).
% 8.20/6.36 tff(31489,plain,
% 8.20/6.36 ((~(v180(constB147) <=> v178(constB146))) | (~v180(constB147)) | v178(constB146)),
% 8.20/6.36 inference(tautology,[status(thm)],[])).
% 8.20/6.36 tff(31490,plain,
% 8.20/6.36 (~v180(constB147)),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31489, 31488, 31268])).
% 8.20/6.36 tff(31491,plain,
% 8.20/6.36 ($false),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31490, 31264])).
% 8.20/6.36 tff(31492,plain,(~(constB147 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.20/6.36 tff(31493,assumption,(constB25 = VarCurr!0), introduced(assumption)).
% 8.20/6.36 tff(31494,plain,
% 8.20/6.36 (v86(constB25) <=> v86(VarCurr!0)),
% 8.20/6.36 inference(monotonicity,[status(thm)],[31493])).
% 8.20/6.36 tff(31495,plain,
% 8.20/6.36 (v86(VarCurr!0) <=> v86(constB25)),
% 8.20/6.36 inference(symmetry,[status(thm)],[31494])).
% 8.20/6.36 tff(31496,plain,
% 8.20/6.36 ((~v86(VarCurr!0)) <=> (~v86(constB25))),
% 8.20/6.36 inference(monotonicity,[status(thm)],[31495])).
% 8.20/6.36 tff(31497,plain,
% 8.20/6.36 (~v86(constB25)),
% 8.20/6.36 inference(modus_ponens,[status(thm)],[21766, 31496])).
% 8.20/6.36 tff(31498,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB25) <=> (v136(constB25) | v145(constB25)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31499,plain,
% 8.20/6.36 (v135(constB25) <=> (v136(constB25) | v145(constB25))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31498, 21774])).
% 8.20/6.36 tff(31500,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB25) <=> (v137(constB25) | v142(constB25)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31501,plain,
% 8.20/6.36 (v136(constB25) <=> (v137(constB25) | v142(constB25))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31500, 21783])).
% 8.20/6.36 tff(31502,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB25) <=> (v143(constB25) | v144(constB25)))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31503,plain,
% 8.20/6.36 (v142(constB25) <=> (v143(constB25) | v144(constB25))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31502, 21792])).
% 8.20/6.36 tff(31504,plain,
% 8.20/6.36 (((~![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)))))),
% 8.20/6.36 inference(rewrite,[status(thm)],[])).
% 8.20/6.36 tff(31505,plain,
% 8.20/6.36 ((v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2))))) <=> (v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))))),
% 8.20/6.36 inference(rewrite,[status(thm)],[])).
% 8.20/6.36 tff(31506,plain,
% 8.20/6.36 (((~![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)))))),
% 8.20/6.36 inference(monotonicity,[status(thm)],[31505])).
% 8.20/6.36 tff(31507,plain,
% 8.20/6.36 (((~![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)))))),
% 8.20/6.36 inference(transitivity,[status(thm)],[31506, 31504])).
% 8.20/6.36 tff(31508,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~(v88(constB25, bitIndex0) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)))))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31509,plain,
% 8.20/6.36 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))))),
% 8.20/6.36 inference(modus_ponens,[status(thm)],[31508, 31507])).
% 8.20/6.36 tff(31510,plain,
% 8.20/6.36 (v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0)))),
% 8.20/6.36 inference(unit_resolution,[status(thm)],[31509, 21807])).
% 8.20/6.36 tff(31511,plain,
% 8.20/6.36 ((~![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))))),
% 8.20/6.36 inference(quant_inst,[status(thm)],[])).
% 8.20/6.36 tff(31512,plain,
% 8.20/6.37 (~(((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)) | ((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)) | ((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0)))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31511, 416])).
% 8.20/6.37 tff(31513,plain,
% 8.20/6.37 ((((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)) | ((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)) | ((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0))) | (~((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31514,plain,
% 8.20/6.37 (~((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31513, 31512])).
% 8.20/6.37 tff(31515,plain,
% 8.20/6.37 (((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)) | v88(constB25, bitIndex2) | (~v90(constB25, bitIndex2))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31516,plain,
% 8.20/6.37 (v88(constB25, bitIndex2)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31515, 5933, 31514])).
% 8.20/6.37 tff(31517,plain,
% 8.20/6.37 ((((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)) | ((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)) | ((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0))) | (~((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31518,plain,
% 8.20/6.37 (~((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31517, 31512])).
% 8.20/6.37 tff(31519,plain,
% 8.20/6.37 (((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0)) | (~v88(constB25, bitIndex0)) | v90(constB25, bitIndex0)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31520,plain,
% 8.20/6.37 (~v88(constB25, bitIndex0)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31519, 6084, 31518])).
% 8.20/6.37 tff(31521,plain,
% 8.20/6.37 ((((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)) | ((~v88(constB25, bitIndex2)) <=> v90(constB25, bitIndex2)) | ((~v88(constB25, bitIndex0)) <=> v90(constB25, bitIndex0))) | (~((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31522,plain,
% 8.20/6.37 (~((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31521, 31512])).
% 8.20/6.37 tff(31523,plain,
% 8.20/6.37 (((~v88(constB25, bitIndex1)) <=> v90(constB25, bitIndex1)) | v88(constB25, bitIndex1) | (~v90(constB25, bitIndex1))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31524,plain,
% 8.20/6.37 (v88(constB25, bitIndex1)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31523, 5962, 31522])).
% 8.20/6.37 tff(31525,plain,
% 8.20/6.37 ((~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))) | (~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31526,plain,
% 8.20/6.37 (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31525, 31524, 31520, 31516])).
% 8.20/6.37 tff(31527,plain,
% 8.20/6.37 ((~(v144(constB25) <=> (~((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))))) | v144(constB25) | ((~v88(constB25, bitIndex1)) | (~v88(constB25, bitIndex2)) | v88(constB25, bitIndex0))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31528,plain,
% 8.20/6.37 (v144(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31527, 31526, 31510])).
% 8.20/6.37 tff(31529,plain,
% 8.20/6.37 ((v143(constB25) | v144(constB25)) | (~v144(constB25))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31530,plain,
% 8.20/6.37 (v143(constB25) | v144(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31529, 31528])).
% 8.20/6.37 tff(31531,plain,
% 8.20/6.37 ((~(v142(constB25) <=> (v143(constB25) | v144(constB25)))) | v142(constB25) | (~(v143(constB25) | v144(constB25)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31532,plain,
% 8.20/6.37 (v142(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31531, 31530, 31503])).
% 8.20/6.37 tff(31533,plain,
% 8.20/6.37 ((v137(constB25) | v142(constB25)) | (~v142(constB25))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31534,plain,
% 8.20/6.37 (v137(constB25) | v142(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31533, 31532])).
% 8.20/6.37 tff(31535,plain,
% 8.20/6.37 ((~(v136(constB25) <=> (v137(constB25) | v142(constB25)))) | v136(constB25) | (~(v137(constB25) | v142(constB25)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31536,plain,
% 8.20/6.37 ((~(v136(constB25) <=> (v137(constB25) | v142(constB25)))) | v136(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31535, 31534])).
% 8.20/6.37 tff(31537,plain,
% 8.20/6.37 (v136(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31536, 31501])).
% 8.20/6.37 tff(31538,plain,
% 8.20/6.37 ((v136(constB25) | v145(constB25)) | (~v136(constB25))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31539,plain,
% 8.20/6.37 (v136(constB25) | v145(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31538, 31537])).
% 8.20/6.37 tff(31540,plain,
% 8.20/6.37 ((~(v135(constB25) <=> (v136(constB25) | v145(constB25)))) | v135(constB25) | (~(v136(constB25) | v145(constB25)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31541,plain,
% 8.20/6.37 (v135(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31540, 31539, 31499])).
% 8.20/6.37 tff(31542,plain,
% 8.20/6.37 (((~![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)))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31543,plain,
% 8.20/6.37 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB25)) | (v86(constB25) <=> v148(constB25)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31544,plain,
% 8.20/6.37 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB25)) | (v86(constB25) <=> v148(constB25))),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[31543, 31542])).
% 8.20/6.37 tff(31545,plain,
% 8.20/6.37 (v86(constB25) <=> v148(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31544, 21855, 31541])).
% 8.20/6.37 tff(31546,plain,
% 8.20/6.37 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB25) | (~v142(constB25)))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31547,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB25) | (~v142(constB25)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31548,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB25) | (~v142(constB25))),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[31547, 31546])).
% 8.20/6.37 tff(31549,plain,
% 8.20/6.37 (v148(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31548, 21869, 31532])).
% 8.20/6.37 tff(31550,plain,
% 8.20/6.37 ((~(v86(constB25) <=> v148(constB25))) | v86(constB25) | (~v148(constB25))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31551,plain,
% 8.20/6.37 ((~(v86(constB25) <=> v148(constB25))) | v86(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31550, 31549])).
% 8.20/6.37 tff(31552,plain,
% 8.20/6.37 (v86(constB25)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31551, 31545])).
% 8.20/6.37 tff(31553,plain,
% 8.20/6.37 ($false),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31552, 31497])).
% 8.20/6.37 tff(31554,plain,(~(constB25 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.20/6.37 tff(31555,assumption,(constB161 = VarCurr!0), introduced(assumption)).
% 8.20/6.37 tff(31556,plain,
% 8.20/6.37 (v86(constB161) <=> v86(VarCurr!0)),
% 8.20/6.37 inference(monotonicity,[status(thm)],[31555])).
% 8.20/6.37 tff(31557,plain,
% 8.20/6.37 (v86(VarCurr!0) <=> v86(constB161)),
% 8.20/6.37 inference(symmetry,[status(thm)],[31556])).
% 8.20/6.37 tff(31558,plain,
% 8.20/6.37 ((~v86(VarCurr!0)) <=> (~v86(constB161))),
% 8.20/6.37 inference(monotonicity,[status(thm)],[31557])).
% 8.20/6.37 tff(31559,plain,
% 8.20/6.37 (~v86(constB161)),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[21766, 31558])).
% 8.20/6.37 tff(31560,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB161) <=> (v136(constB161) | v145(constB161)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31561,plain,
% 8.20/6.37 (v135(constB161) <=> (v136(constB161) | v145(constB161))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31560, 21774])).
% 8.20/6.37 tff(31562,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB161) <=> (v137(constB161) | v142(constB161)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31563,plain,
% 8.20/6.37 (v136(constB161) <=> (v137(constB161) | v142(constB161))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31562, 21783])).
% 8.20/6.37 tff(31564,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB161) <=> (v143(constB161) | v144(constB161)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31565,plain,
% 8.20/6.37 (v142(constB161) <=> (v143(constB161) | v144(constB161))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31564, 21792])).
% 8.20/6.37 tff(31566,plain,
% 8.20/6.37 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0)))))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31567,plain,
% 8.20/6.37 ((v143(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1))))) <=> (v143(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0))))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31568,plain,
% 8.20/6.37 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0)))))),
% 8.20/6.37 inference(monotonicity,[status(thm)],[31567])).
% 8.20/6.37 tff(31569,plain,
% 8.20/6.37 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0)))))),
% 8.20/6.37 inference(transitivity,[status(thm)],[31568, 31566])).
% 8.20/6.37 tff(31570,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)))))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31571,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0))))),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[31570, 31569])).
% 8.20/6.37 tff(31572,plain,
% 8.20/6.37 (v143(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0)))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31571, 23745])).
% 8.20/6.37 tff(31573,plain,
% 8.20/6.37 ((~![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))))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31574,plain,
% 8.20/6.37 (~(((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)) | ((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)) | ((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0)))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31573, 416])).
% 8.20/6.37 tff(31575,plain,
% 8.20/6.37 ((((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)) | ((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)) | ((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0))) | (~((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31576,plain,
% 8.20/6.37 (~((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31575, 31574])).
% 8.20/6.37 tff(31577,plain,
% 8.20/6.37 (((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)) | (~v88(constB161, bitIndex2)) | v90(constB161, bitIndex2)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31578,plain,
% 8.20/6.37 (~v88(constB161, bitIndex2)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31577, 19552, 31576])).
% 8.20/6.37 tff(31579,plain,
% 8.20/6.37 ((((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)) | ((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)) | ((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0))) | (~((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31580,plain,
% 8.20/6.37 (~((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31579, 31574])).
% 8.20/6.37 tff(31581,plain,
% 8.20/6.37 (((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0)) | (~v88(constB161, bitIndex0)) | v90(constB161, bitIndex0)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31582,plain,
% 8.20/6.37 (~v88(constB161, bitIndex0)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31581, 19570, 31580])).
% 8.20/6.37 tff(31583,plain,
% 8.20/6.37 ((((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)) | ((~v88(constB161, bitIndex2)) <=> v90(constB161, bitIndex2)) | ((~v88(constB161, bitIndex0)) <=> v90(constB161, bitIndex0))) | (~((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31584,plain,
% 8.20/6.37 (~((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31583, 31574])).
% 8.20/6.37 tff(31585,plain,
% 8.20/6.37 (((~v88(constB161, bitIndex1)) <=> v90(constB161, bitIndex1)) | v88(constB161, bitIndex1) | (~v90(constB161, bitIndex1))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31586,plain,
% 8.20/6.37 (v88(constB161, bitIndex1)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31585, 19588, 31584])).
% 8.20/6.37 tff(31587,plain,
% 8.20/6.37 ((~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0))) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31588,plain,
% 8.20/6.37 (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31587, 31586, 31582, 31578])).
% 8.20/6.37 tff(31589,plain,
% 8.20/6.37 ((~(v143(constB161) <=> (~((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0))))) | v143(constB161) | ((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | v88(constB161, bitIndex0))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31590,plain,
% 8.20/6.37 (v143(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31589, 31588, 31572])).
% 8.20/6.37 tff(31591,plain,
% 8.20/6.37 ((v143(constB161) | v144(constB161)) | (~v143(constB161))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31592,plain,
% 8.20/6.37 (v143(constB161) | v144(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31591, 31590])).
% 8.20/6.37 tff(31593,plain,
% 8.20/6.37 ((~(v142(constB161) <=> (v143(constB161) | v144(constB161)))) | v142(constB161) | (~(v143(constB161) | v144(constB161)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31594,plain,
% 8.20/6.37 (v142(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31593, 31592, 31565])).
% 8.20/6.37 tff(31595,plain,
% 8.20/6.37 ((v137(constB161) | v142(constB161)) | (~v142(constB161))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31596,plain,
% 8.20/6.37 (v137(constB161) | v142(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31595, 31594])).
% 8.20/6.37 tff(31597,plain,
% 8.20/6.37 ((~(v136(constB161) <=> (v137(constB161) | v142(constB161)))) | v136(constB161) | (~(v137(constB161) | v142(constB161)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31598,plain,
% 8.20/6.37 ((~(v136(constB161) <=> (v137(constB161) | v142(constB161)))) | v136(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31597, 31596])).
% 8.20/6.37 tff(31599,plain,
% 8.20/6.37 (v136(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31598, 31563])).
% 8.20/6.37 tff(31600,plain,
% 8.20/6.37 ((v136(constB161) | v145(constB161)) | (~v136(constB161))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31601,plain,
% 8.20/6.37 (v136(constB161) | v145(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31600, 31599])).
% 8.20/6.37 tff(31602,plain,
% 8.20/6.37 ((~(v135(constB161) <=> (v136(constB161) | v145(constB161)))) | v135(constB161) | (~(v136(constB161) | v145(constB161)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31603,plain,
% 8.20/6.37 (v135(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31602, 31601, 31561])).
% 8.20/6.37 tff(31604,plain,
% 8.20/6.37 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB161)) | (v86(constB161) <=> v148(constB161)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB161)) | (v86(constB161) <=> v148(constB161)))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31605,plain,
% 8.20/6.37 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB161)) | (v86(constB161) <=> v148(constB161)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31606,plain,
% 8.20/6.37 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB161)) | (v86(constB161) <=> v148(constB161))),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[31605, 31604])).
% 8.20/6.37 tff(31607,plain,
% 8.20/6.37 (v86(constB161) <=> v148(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31606, 21855, 31603])).
% 8.20/6.37 tff(31608,plain,
% 8.20/6.37 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB161) | (~v142(constB161)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB161) | (~v142(constB161)))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31609,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB161) | (~v142(constB161)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31610,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB161) | (~v142(constB161))),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[31609, 31608])).
% 8.20/6.37 tff(31611,plain,
% 8.20/6.37 (v148(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31610, 21869, 31594])).
% 8.20/6.37 tff(31612,plain,
% 8.20/6.37 ((~(v86(constB161) <=> v148(constB161))) | v86(constB161) | (~v148(constB161))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31613,plain,
% 8.20/6.37 ((~(v86(constB161) <=> v148(constB161))) | v86(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31612, 31611])).
% 8.20/6.37 tff(31614,plain,
% 8.20/6.37 (v86(constB161)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31613, 31607])).
% 8.20/6.37 tff(31615,plain,
% 8.20/6.37 ($false),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31614, 31559])).
% 8.20/6.37 tff(31616,plain,(~(constB161 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.20/6.37 tff(31617,assumption,(constB23 = VarCurr!0), introduced(assumption)).
% 8.20/6.37 tff(31618,plain,
% 8.20/6.37 (v180(constB23) <=> v180(VarCurr!0)),
% 8.20/6.37 inference(monotonicity,[status(thm)],[31617])).
% 8.20/6.37 tff(31619,plain,
% 8.20/6.37 (v180(VarCurr!0) <=> v180(constB23)),
% 8.20/6.37 inference(symmetry,[status(thm)],[31618])).
% 8.20/6.37 tff(31620,plain,
% 8.20/6.37 (v180(constB23)),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[59, 31619])).
% 8.20/6.37 tff(31621,plain,
% 8.20/6.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB22, constB23)) | (v180(constB23) <=> v178(constB22)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB22, constB23)) | (v180(constB23) <=> v178(constB22)))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31622,plain,
% 8.20/6.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB22, constB23)) | (v180(constB23) <=> v178(constB22)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31623,plain,
% 8.20/6.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB22, constB23)) | (v180(constB23) <=> v178(constB22))),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[31622, 31621])).
% 8.20/6.37 tff(31624,plain,
% 8.20/6.37 (v180(constB23) <=> v178(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31623, 3153, 70])).
% 8.20/6.37 tff(31625,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB22) <=> (v181(constB22) | v185(constB22)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31626,plain,
% 8.20/6.37 (v178(constB22) <=> (v181(constB22) | v185(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31625, 84])).
% 8.20/6.37 tff(31627,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB22) <=> (~((~v186(constB22)) | (~v187(constB22)))))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31628,plain,
% 8.20/6.37 (v185(constB22) <=> (~((~v186(constB22)) | (~v187(constB22))))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31627, 96])).
% 8.20/6.37 tff(31629,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB22) <=> (~((~v184(constB22)) | (~v159(constB22)))))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31630,plain,
% 8.20/6.37 (v187(constB22) <=> (~((~v184(constB22)) | (~v159(constB22))))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31629, 108])).
% 8.20/6.37 tff(31631,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31632,plain,
% 8.20/6.37 (v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22))))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31631, 120])).
% 8.20/6.37 tff(31633,plain,
% 8.20/6.37 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB22)) <=> v1(constB22))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31634,plain,
% 8.20/6.37 ((~v39(constB22)) <=> v1(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31633, 129])).
% 8.20/6.37 tff(31635,plain,
% 8.20/6.37 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22)) | (~v1(constB22))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31636,plain,
% 8.20/6.37 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31635, 5734])).
% 8.20/6.37 tff(31637,plain,
% 8.20/6.37 (~v39(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31636, 31634])).
% 8.20/6.37 tff(31638,plain,
% 8.20/6.37 (((~v39(constB22)) | (~v9(constB22))) | v39(constB22)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31639,plain,
% 8.20/6.37 ((~v39(constB22)) | (~v9(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31638, 31637])).
% 8.20/6.37 tff(31640,plain,
% 8.20/6.37 ((~(v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v184(constB22)) | (~((~v39(constB22)) | (~v9(constB22))))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31641,plain,
% 8.20/6.37 ((~(v184(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v184(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31640, 31639])).
% 8.20/6.37 tff(31642,plain,
% 8.20/6.37 (~v184(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31641, 31632])).
% 8.20/6.37 tff(31643,plain,
% 8.20/6.37 (((~v184(constB22)) | (~v159(constB22))) | v184(constB22)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31644,plain,
% 8.20/6.37 ((~v184(constB22)) | (~v159(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31643, 31642])).
% 8.20/6.37 tff(31645,plain,
% 8.20/6.37 ((~(v187(constB22) <=> (~((~v184(constB22)) | (~v159(constB22)))))) | (~v187(constB22)) | (~((~v184(constB22)) | (~v159(constB22))))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31646,plain,
% 8.20/6.37 ((~(v187(constB22) <=> (~((~v184(constB22)) | (~v159(constB22)))))) | (~v187(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31645, 31644])).
% 8.20/6.37 tff(31647,plain,
% 8.20/6.37 (~v187(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31646, 31630])).
% 8.20/6.37 tff(31648,plain,
% 8.20/6.37 (((~v186(constB22)) | (~v187(constB22))) | v187(constB22)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31649,plain,
% 8.20/6.37 ((~v186(constB22)) | (~v187(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31648, 31647])).
% 8.20/6.37 tff(31650,plain,
% 8.20/6.37 ((~(v185(constB22) <=> (~((~v186(constB22)) | (~v187(constB22)))))) | (~v185(constB22)) | (~((~v186(constB22)) | (~v187(constB22))))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31651,plain,
% 8.20/6.37 (~v185(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31650, 31649, 31628])).
% 8.20/6.37 tff(31652,plain,
% 8.20/6.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22))))))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31653,plain,
% 8.20/6.37 ((v181(constB22) <=> (~((~v182(constB22)) | (~v157(constB22))))) <=> (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22)))))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31654,plain,
% 8.20/6.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v182(constB22)) | (~v157(constB22)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22))))))),
% 8.20/6.37 inference(monotonicity,[status(thm)],[31653])).
% 8.20/6.37 tff(31655,plain,
% 8.20/6.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v182(constB22)) | (~v157(constB22)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22))))))),
% 8.20/6.37 inference(transitivity,[status(thm)],[31654, 31652])).
% 8.20/6.37 tff(31656,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v182(constB22)) | (~v157(constB22)))))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31657,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22)))))),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[31656, 31655])).
% 8.20/6.37 tff(31658,plain,
% 8.20/6.37 (v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22))))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31657, 161])).
% 8.20/6.37 tff(31659,plain,
% 8.20/6.37 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB22) <=> v180(constB22))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31660,plain,
% 8.20/6.37 (v157(constB22) <=> v180(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31659, 13])).
% 8.20/6.37 tff(31661,plain,
% 8.20/6.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB21, constB22)) | (v180(constB22) <=> v178(constB21)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB21, constB22)) | (v180(constB22) <=> v178(constB21)))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31662,plain,
% 8.20/6.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB21, constB22)) | (v180(constB22) <=> v178(constB21)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31663,plain,
% 8.20/6.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB21, constB22)) | (v180(constB22) <=> v178(constB21))),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[31662, 31661])).
% 8.20/6.37 tff(31664,plain,
% 8.20/6.37 (v180(constB22) <=> v178(constB21)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31663, 3189, 70])).
% 8.20/6.37 tff(31665,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB21) <=> (v181(constB21) | v185(constB21)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31666,plain,
% 8.20/6.37 (v178(constB21) <=> (v181(constB21) | v185(constB21))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31665, 84])).
% 8.20/6.37 tff(31667,plain,
% 8.20/6.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21))))))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31668,plain,
% 8.20/6.37 ((v181(constB21) <=> (~((~v182(constB21)) | (~v157(constB21))))) <=> (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21)))))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31669,plain,
% 8.20/6.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v182(constB21)) | (~v157(constB21)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21))))))),
% 8.20/6.37 inference(monotonicity,[status(thm)],[31668])).
% 8.20/6.37 tff(31670,plain,
% 8.20/6.37 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v182(constB21)) | (~v157(constB21)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21))))))),
% 8.20/6.37 inference(transitivity,[status(thm)],[31669, 31667])).
% 8.20/6.37 tff(31671,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v182(constB21)) | (~v157(constB21)))))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31672,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21)))))),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[31671, 31670])).
% 8.20/6.37 tff(31673,plain,
% 8.20/6.37 (v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21))))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31672, 161])).
% 8.20/6.37 tff(31674,plain,
% 8.20/6.37 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB21)) <=> v183(constB21))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31675,plain,
% 8.20/6.37 ((~v182(constB21)) <=> v183(constB21)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31674, 193])).
% 8.20/6.37 tff(31676,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB21) <=> (v184(constB21) | v26(constB21)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31677,plain,
% 8.20/6.37 (v183(constB21) <=> (v184(constB21) | v26(constB21))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31676, 202])).
% 8.20/6.37 tff(31678,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31679,plain,
% 8.20/6.37 (v184(constB21) <=> (~((~v39(constB21)) | (~v9(constB21))))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31678, 120])).
% 8.20/6.37 tff(31680,plain,
% 8.20/6.37 (((~![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)))),
% 8.20/6.37 inference(rewrite,[status(thm)],[])).
% 8.20/6.37 tff(31681,plain,
% 8.20/6.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31682,plain,
% 8.20/6.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21))),
% 8.20/6.37 inference(modus_ponens,[status(thm)],[31681, 31680])).
% 8.20/6.37 tff(31683,plain,
% 8.20/6.37 (v13(constB22) <=> v9(constB21)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31682, 3189, 216])).
% 8.20/6.37 tff(31684,plain,
% 8.20/6.37 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB22) <=> v13(constB22))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31685,plain,
% 8.20/6.37 (v6(constB22) <=> v13(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31684, 230])).
% 8.20/6.37 tff(31686,plain,
% 8.20/6.37 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB22)) <=> v6(constB22))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31687,plain,
% 8.20/6.37 ((~v21(constB22)) <=> v6(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31686, 239])).
% 8.20/6.37 tff(31688,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB22) <=> (v20(constB22) | v21(constB22)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31689,plain,
% 8.20/6.37 (v19(constB22) <=> (v20(constB22) | v21(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31688, 248])).
% 8.20/6.37 tff(31690,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31691,plain,
% 8.20/6.37 (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22))))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31690, 260])).
% 8.20/6.37 tff(31692,plain,
% 8.20/6.37 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB22)) <=> v18(constB22))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31693,plain,
% 8.20/6.37 ((~v4(constB22)) <=> v18(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31692, 269])).
% 8.20/6.37 tff(31694,plain,
% 8.20/6.37 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB22)),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31695,plain,
% 8.20/6.37 (v4(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31694, 278])).
% 8.20/6.37 tff(31696,plain,
% 8.20/6.37 ((~((~v4(constB22)) <=> v18(constB22))) | (~v4(constB22)) | (~v18(constB22))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31697,plain,
% 8.20/6.37 (~v18(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31696, 31695, 31693])).
% 8.20/6.37 tff(31698,plain,
% 8.20/6.37 ((~(v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))) | v18(constB22) | ((~v19(constB22)) | (~v22(constB22)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31699,plain,
% 8.20/6.37 ((~v19(constB22)) | (~v22(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31698, 31697, 31691])).
% 8.20/6.37 tff(31700,plain,
% 8.20/6.37 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB22) <=> (v1(constB22) | v6(constB22)))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31701,plain,
% 8.20/6.37 (v22(constB22) <=> (v1(constB22) | v6(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31700, 291])).
% 8.20/6.37 tff(31702,plain,
% 8.20/6.37 ((v1(constB22) | v6(constB22)) | (~v1(constB22))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31703,plain,
% 8.20/6.37 (v1(constB22) | v6(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31702, 5734])).
% 8.20/6.37 tff(31704,plain,
% 8.20/6.37 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22) | (~(v1(constB22) | v6(constB22)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31705,plain,
% 8.20/6.37 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31704, 31703])).
% 8.20/6.37 tff(31706,plain,
% 8.20/6.37 (v22(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31705, 31701])).
% 8.20/6.37 tff(31707,plain,
% 8.20/6.37 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22)) | (~v22(constB22))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31708,plain,
% 8.20/6.37 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31707, 31706])).
% 8.20/6.37 tff(31709,plain,
% 8.20/6.37 (~v19(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31708, 31699])).
% 8.20/6.37 tff(31710,plain,
% 8.20/6.37 ((~(v19(constB22) <=> (v20(constB22) | v21(constB22)))) | v19(constB22) | (~(v20(constB22) | v21(constB22)))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31711,plain,
% 8.20/6.37 (~(v20(constB22) | v21(constB22))),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31710, 31709, 31689])).
% 8.20/6.37 tff(31712,plain,
% 8.20/6.37 ((v20(constB22) | v21(constB22)) | (~v21(constB22))),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31713,plain,
% 8.20/6.37 (~v21(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31712, 31711])).
% 8.20/6.37 tff(31714,plain,
% 8.20/6.37 ((~((~v21(constB22)) <=> v6(constB22))) | v21(constB22) | v6(constB22)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31715,plain,
% 8.20/6.37 (v6(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31714, 31713, 31687])).
% 8.20/6.37 tff(31716,plain,
% 8.20/6.37 ((~(v6(constB22) <=> v13(constB22))) | (~v6(constB22)) | v13(constB22)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31717,plain,
% 8.20/6.37 (v13(constB22)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31716, 31715, 31685])).
% 8.20/6.37 tff(31718,plain,
% 8.20/6.37 ((~(v13(constB22) <=> v9(constB21))) | (~v13(constB22)) | v9(constB21)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31719,plain,
% 8.20/6.37 (v9(constB21)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31718, 31717, 31683])).
% 8.20/6.37 tff(31720,plain,
% 8.20/6.37 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB21)) <=> v1(constB21))),
% 8.20/6.37 inference(quant_inst,[status(thm)],[])).
% 8.20/6.37 tff(31721,plain,
% 8.20/6.37 ((~v39(constB21)) <=> v1(constB21)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31720, 129])).
% 8.20/6.37 tff(31722,plain,
% 8.20/6.37 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21) | v1(constB21)),
% 8.20/6.37 inference(tautology,[status(thm)],[])).
% 8.20/6.37 tff(31723,plain,
% 8.20/6.37 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21)),
% 8.20/6.37 inference(unit_resolution,[status(thm)],[31722, 3233])).
% 8.20/6.38 tff(31724,plain,
% 8.20/6.38 (v39(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31723, 31721])).
% 8.20/6.38 tff(31725,plain,
% 8.20/6.38 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v39(constB21)) | (~v9(constB21))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31726,plain,
% 8.20/6.38 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v9(constB21))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31725, 31724])).
% 8.20/6.38 tff(31727,plain,
% 8.20/6.38 (~((~v39(constB21)) | (~v9(constB21)))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31726, 31719])).
% 8.20/6.38 tff(31728,plain,
% 8.20/6.38 ((~(v184(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))) | v184(constB21) | ((~v39(constB21)) | (~v9(constB21)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31729,plain,
% 8.20/6.38 (v184(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31728, 31727, 31679])).
% 8.20/6.38 tff(31730,plain,
% 8.20/6.38 ((v184(constB21) | v26(constB21)) | (~v184(constB21))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31731,plain,
% 8.20/6.38 (v184(constB21) | v26(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31730, 31729])).
% 8.20/6.38 tff(31732,plain,
% 8.20/6.38 ((~(v183(constB21) <=> (v184(constB21) | v26(constB21)))) | v183(constB21) | (~(v184(constB21) | v26(constB21)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31733,plain,
% 8.20/6.38 (v183(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31732, 31731, 31677])).
% 8.20/6.38 tff(31734,plain,
% 8.20/6.38 ((~((~v182(constB21)) <=> v183(constB21))) | (~v182(constB21)) | (~v183(constB21))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31735,plain,
% 8.20/6.38 (~v182(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31734, 31733, 31675])).
% 8.20/6.38 tff(31736,plain,
% 8.20/6.38 (((~v157(constB21)) | (~v182(constB21))) | v182(constB21)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31737,plain,
% 8.20/6.38 ((~v157(constB21)) | (~v182(constB21))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31736, 31735])).
% 8.20/6.38 tff(31738,plain,
% 8.20/6.38 ((~(v181(constB21) <=> (~((~v157(constB21)) | (~v182(constB21)))))) | (~v181(constB21)) | (~((~v157(constB21)) | (~v182(constB21))))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31739,plain,
% 8.20/6.38 (~v181(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31738, 31737, 31673])).
% 8.20/6.38 tff(31740,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB21) <=> (~((~v186(constB21)) | (~v187(constB21)))))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31741,plain,
% 8.20/6.38 (v185(constB21) <=> (~((~v186(constB21)) | (~v187(constB21))))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31740, 96])).
% 8.20/6.38 tff(31742,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB21) <=> (~((~v184(constB21)) | (~v159(constB21)))))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31743,plain,
% 8.20/6.38 (v187(constB21) <=> (~((~v184(constB21)) | (~v159(constB21))))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31742, 108])).
% 8.20/6.38 tff(31744,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB21) <=> v161(constB21))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31745,plain,
% 8.20/6.38 (v159(constB21) <=> v161(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31744, 345])).
% 8.20/6.38 tff(31746,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB21) <=> (v145(constB21) | v165(constB21)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31747,plain,
% 8.20/6.38 (v164(constB21) <=> (v145(constB21) | v165(constB21))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31746, 357])).
% 8.20/6.38 tff(31748,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB21) <=> (v146(constB21) | v147(constB21)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31749,plain,
% 8.20/6.38 (v145(constB21) <=> (v146(constB21) | v147(constB21))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31748, 24729])).
% 8.20/6.38 tff(31750,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0)))))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31751,plain,
% 8.20/6.38 ((v146(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2))))) <=> (v146(constB21) <=> (~(v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0))))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31752,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0)))))),
% 8.20/6.38 inference(monotonicity,[status(thm)],[31751])).
% 8.20/6.38 tff(31753,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0)))))),
% 8.20/6.38 inference(transitivity,[status(thm)],[31752, 31750])).
% 8.20/6.38 tff(31754,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)))))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31755,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB21) <=> (~(v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0))))),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[31754, 31753])).
% 8.20/6.38 tff(31756,plain,
% 8.20/6.38 (v146(constB21) <=> (~(v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0)))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31755, 24744])).
% 8.20/6.38 tff(31757,plain,
% 8.20/6.38 ((~![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))))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31758,plain,
% 8.20/6.38 (~(((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)) | ((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)) | ((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0)))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31757, 416])).
% 8.20/6.38 tff(31759,plain,
% 8.20/6.38 ((((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)) | ((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)) | ((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0))) | (~((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31760,plain,
% 8.20/6.38 (~((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31759, 31758])).
% 8.20/6.38 tff(31761,plain,
% 8.20/6.38 (((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)) | v88(constB21, bitIndex2) | (~v90(constB21, bitIndex2))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31762,plain,
% 8.20/6.38 (v88(constB21, bitIndex2)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31761, 5656, 31760])).
% 8.20/6.38 tff(31763,plain,
% 8.20/6.38 ((((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)) | ((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)) | ((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0))) | (~((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31764,plain,
% 8.20/6.38 (~((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31763, 31758])).
% 8.20/6.38 tff(31765,plain,
% 8.20/6.38 (((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0)) | (~v88(constB21, bitIndex0)) | v90(constB21, bitIndex0)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31766,plain,
% 8.20/6.38 (~v88(constB21, bitIndex0)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31765, 5674, 31764])).
% 8.20/6.38 tff(31767,plain,
% 8.20/6.38 ((((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)) | ((~v88(constB21, bitIndex2)) <=> v90(constB21, bitIndex2)) | ((~v88(constB21, bitIndex0)) <=> v90(constB21, bitIndex0))) | (~((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31768,plain,
% 8.20/6.38 (~((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31767, 31758])).
% 8.20/6.38 tff(31769,plain,
% 8.20/6.38 (((~v88(constB21, bitIndex1)) <=> v90(constB21, bitIndex1)) | (~v88(constB21, bitIndex1)) | v90(constB21, bitIndex1)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31770,plain,
% 8.20/6.38 (~v88(constB21, bitIndex1)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31769, 5692, 31768])).
% 8.20/6.38 tff(31771,plain,
% 8.20/6.38 ((~(v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0))) | v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31772,plain,
% 8.20/6.38 (~(v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31771, 31770, 31766, 31762])).
% 8.20/6.38 tff(31773,plain,
% 8.20/6.38 ((~(v146(constB21) <=> (~(v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0))))) | v146(constB21) | (v88(constB21, bitIndex1) | (~v88(constB21, bitIndex2)) | v88(constB21, bitIndex0))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31774,plain,
% 8.20/6.38 (v146(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31773, 31772, 31756])).
% 8.20/6.38 tff(31775,plain,
% 8.20/6.38 ((v146(constB21) | v147(constB21)) | (~v146(constB21))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31776,plain,
% 8.20/6.38 (v146(constB21) | v147(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31775, 31774])).
% 8.20/6.38 tff(31777,plain,
% 8.20/6.38 ((~(v145(constB21) <=> (v146(constB21) | v147(constB21)))) | v145(constB21) | (~(v146(constB21) | v147(constB21)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31778,plain,
% 8.20/6.38 (v145(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31777, 31776, 31749])).
% 8.20/6.38 tff(31779,plain,
% 8.20/6.38 ((v145(constB21) | v165(constB21)) | (~v145(constB21))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31780,plain,
% 8.20/6.38 (v145(constB21) | v165(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31779, 31778])).
% 8.20/6.38 tff(31781,plain,
% 8.20/6.38 ((~(v164(constB21) <=> (v145(constB21) | v165(constB21)))) | v164(constB21) | (~(v145(constB21) | v165(constB21)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31782,plain,
% 8.20/6.38 ((~(v164(constB21) <=> (v145(constB21) | v165(constB21)))) | v164(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31781, 31780])).
% 8.20/6.38 tff(31783,plain,
% 8.20/6.38 (v164(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31782, 31747])).
% 8.20/6.38 tff(31784,plain,
% 8.20/6.38 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB21)) | (v161(constB21) <=> v168(constB21)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB21)) | (v161(constB21) <=> v168(constB21)))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31785,plain,
% 8.20/6.38 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB21)) | (v161(constB21) <=> v168(constB21)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31786,plain,
% 8.20/6.38 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB21)) | (v161(constB21) <=> v168(constB21))),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[31785, 31784])).
% 8.20/6.38 tff(31787,plain,
% 8.20/6.38 ((~v164(constB21)) | (v161(constB21) <=> v168(constB21))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31786, 12128])).
% 8.20/6.38 tff(31788,plain,
% 8.20/6.38 (v161(constB21) <=> v168(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31787, 31783])).
% 8.20/6.38 tff(31789,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2))))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31790,plain,
% 8.20/6.38 (v139(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31789, 12146])).
% 8.20/6.38 tff(31791,plain,
% 8.20/6.38 ((v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)) | (~v88(constB21, bitIndex2))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31792,plain,
% 8.20/6.38 (v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31791, 31762])).
% 8.20/6.38 tff(31793,plain,
% 8.20/6.38 ((~(v139(constB21) <=> (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2))))) | (~v139(constB21)) | (~(v88(constB21, bitIndex0) | v88(constB21, bitIndex1) | v88(constB21, bitIndex2)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31794,plain,
% 8.20/6.38 (~v139(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31793, 31792, 31790])).
% 8.20/6.38 tff(31795,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB21) <=> (~(v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31796,plain,
% 8.20/6.38 (v140(constB21) <=> (~(v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0))))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31795, 12165])).
% 8.20/6.38 tff(31797,plain,
% 8.20/6.38 ((v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0))) | (~v88(constB21, bitIndex2))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31798,plain,
% 8.20/6.38 (v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31797, 31762])).
% 8.20/6.38 tff(31799,plain,
% 8.20/6.38 ((~(v140(constB21) <=> (~(v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0)))))) | (~v140(constB21)) | (~(v88(constB21, bitIndex1) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex0))))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31800,plain,
% 8.20/6.38 (~v140(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31799, 31798, 31796])).
% 8.20/6.38 tff(31801,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB21) | v139(constB21) | (~v168(constB21)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB21) | v139(constB21) | (~v168(constB21)))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31802,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB21) | v139(constB21) | (~v168(constB21)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31803,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB21) | v139(constB21) | (~v168(constB21))),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[31802, 31801])).
% 8.20/6.38 tff(31804,plain,
% 8.20/6.38 (v140(constB21) | v139(constB21) | (~v168(constB21))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31803, 12184])).
% 8.20/6.38 tff(31805,plain,
% 8.20/6.38 (~v168(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31804, 31800, 31794])).
% 8.20/6.38 tff(31806,plain,
% 8.20/6.38 ((~(v161(constB21) <=> v168(constB21))) | (~v161(constB21)) | v168(constB21)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31807,plain,
% 8.20/6.38 ((~(v161(constB21) <=> v168(constB21))) | (~v161(constB21))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31806, 31805])).
% 8.20/6.38 tff(31808,plain,
% 8.20/6.38 (~v161(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31807, 31788])).
% 8.20/6.38 tff(31809,plain,
% 8.20/6.38 ((~(v159(constB21) <=> v161(constB21))) | (~v159(constB21)) | v161(constB21)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31810,plain,
% 8.20/6.38 ((~(v159(constB21) <=> v161(constB21))) | (~v159(constB21))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31809, 31808])).
% 8.20/6.38 tff(31811,plain,
% 8.20/6.38 (~v159(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31810, 31745])).
% 8.20/6.38 tff(31812,plain,
% 8.20/6.38 (((~v184(constB21)) | (~v159(constB21))) | v159(constB21)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31813,plain,
% 8.20/6.38 ((~v184(constB21)) | (~v159(constB21))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31812, 31811])).
% 8.20/6.38 tff(31814,plain,
% 8.20/6.38 ((~(v187(constB21) <=> (~((~v184(constB21)) | (~v159(constB21)))))) | (~v187(constB21)) | (~((~v184(constB21)) | (~v159(constB21))))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31815,plain,
% 8.20/6.38 (~v187(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31814, 31813, 31743])).
% 8.20/6.38 tff(31816,plain,
% 8.20/6.38 (((~v186(constB21)) | (~v187(constB21))) | v187(constB21)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31817,plain,
% 8.20/6.38 ((~v186(constB21)) | (~v187(constB21))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31816, 31815])).
% 8.20/6.38 tff(31818,plain,
% 8.20/6.38 ((~(v185(constB21) <=> (~((~v186(constB21)) | (~v187(constB21)))))) | (~v185(constB21)) | (~((~v186(constB21)) | (~v187(constB21))))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31819,plain,
% 8.20/6.38 (~v185(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31818, 31817, 31741])).
% 8.20/6.38 tff(31820,plain,
% 8.20/6.38 ((~(v181(constB21) | v185(constB21))) | v181(constB21) | v185(constB21)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31821,plain,
% 8.20/6.38 (~(v181(constB21) | v185(constB21))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31820, 31819, 31739])).
% 8.20/6.38 tff(31822,plain,
% 8.20/6.38 ((~(v178(constB21) <=> (v181(constB21) | v185(constB21)))) | (~v178(constB21)) | (v181(constB21) | v185(constB21))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31823,plain,
% 8.20/6.38 (~v178(constB21)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31822, 31821, 31666])).
% 8.20/6.38 tff(31824,plain,
% 8.20/6.38 ((~(v180(constB22) <=> v178(constB21))) | (~v180(constB22)) | v178(constB21)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31825,plain,
% 8.20/6.38 (~v180(constB22)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31824, 31823, 31664])).
% 8.20/6.38 tff(31826,plain,
% 8.20/6.38 ((~(v157(constB22) <=> v180(constB22))) | (~v157(constB22)) | v180(constB22)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31827,plain,
% 8.20/6.38 (~v157(constB22)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31826, 31825, 31660])).
% 8.20/6.38 tff(31828,plain,
% 8.20/6.38 (((~v157(constB22)) | (~v182(constB22))) | v157(constB22)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31829,plain,
% 8.20/6.38 ((~v157(constB22)) | (~v182(constB22))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31828, 31827])).
% 8.20/6.38 tff(31830,plain,
% 8.20/6.38 ((~(v181(constB22) <=> (~((~v157(constB22)) | (~v182(constB22)))))) | (~v181(constB22)) | (~((~v157(constB22)) | (~v182(constB22))))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31831,plain,
% 8.20/6.38 (~v181(constB22)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31830, 31829, 31658])).
% 8.20/6.38 tff(31832,plain,
% 8.20/6.38 ((~(v181(constB22) | v185(constB22))) | v181(constB22) | v185(constB22)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31833,plain,
% 8.20/6.38 (~(v181(constB22) | v185(constB22))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31832, 31831, 31651])).
% 8.20/6.38 tff(31834,plain,
% 8.20/6.38 ((~(v178(constB22) <=> (v181(constB22) | v185(constB22)))) | (~v178(constB22)) | (v181(constB22) | v185(constB22))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31835,plain,
% 8.20/6.38 (~v178(constB22)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31834, 31833, 31626])).
% 8.20/6.38 tff(31836,plain,
% 8.20/6.38 ((~(v180(constB23) <=> v178(constB22))) | (~v180(constB23)) | v178(constB22)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31837,plain,
% 8.20/6.38 (~v180(constB23)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31836, 31835, 31624])).
% 8.20/6.38 tff(31838,plain,
% 8.20/6.38 ($false),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31837, 31620])).
% 8.20/6.38 tff(31839,plain,(~(constB23 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.20/6.38 tff(31840,assumption,(constB169 = VarCurr!0), introduced(assumption)).
% 8.20/6.38 tff(31841,plain,
% 8.20/6.38 (v86(constB169) <=> v86(VarCurr!0)),
% 8.20/6.38 inference(monotonicity,[status(thm)],[31840])).
% 8.20/6.38 tff(31842,plain,
% 8.20/6.38 (v86(VarCurr!0) <=> v86(constB169)),
% 8.20/6.38 inference(symmetry,[status(thm)],[31841])).
% 8.20/6.38 tff(31843,plain,
% 8.20/6.38 ((~v86(VarCurr!0)) <=> (~v86(constB169))),
% 8.20/6.38 inference(monotonicity,[status(thm)],[31842])).
% 8.20/6.38 tff(31844,plain,
% 8.20/6.38 (~v86(constB169)),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[21766, 31843])).
% 8.20/6.38 tff(31845,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB169) <=> (v136(constB169) | v145(constB169)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31846,plain,
% 8.20/6.38 (v135(constB169) <=> (v136(constB169) | v145(constB169))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31845, 21774])).
% 8.20/6.38 tff(31847,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB169) <=> (v137(constB169) | v142(constB169)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31848,plain,
% 8.20/6.38 (v136(constB169) <=> (v137(constB169) | v142(constB169))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31847, 21783])).
% 8.20/6.38 tff(31849,plain,
% 8.20/6.38 ((v137(constB169) | v142(constB169)) | (~v142(constB169))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31850,plain,
% 8.20/6.38 (v137(constB169) | v142(constB169)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31849, 26561])).
% 8.20/6.38 tff(31851,plain,
% 8.20/6.38 ((~(v136(constB169) <=> (v137(constB169) | v142(constB169)))) | v136(constB169) | (~(v137(constB169) | v142(constB169)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31852,plain,
% 8.20/6.38 ((~(v136(constB169) <=> (v137(constB169) | v142(constB169)))) | v136(constB169)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31851, 31850])).
% 8.20/6.38 tff(31853,plain,
% 8.20/6.38 (v136(constB169)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31852, 31848])).
% 8.20/6.38 tff(31854,plain,
% 8.20/6.38 ((v136(constB169) | v145(constB169)) | (~v136(constB169))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31855,plain,
% 8.20/6.38 (v136(constB169) | v145(constB169)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31854, 31853])).
% 8.20/6.38 tff(31856,plain,
% 8.20/6.38 ((~(v135(constB169) <=> (v136(constB169) | v145(constB169)))) | v135(constB169) | (~(v136(constB169) | v145(constB169)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31857,plain,
% 8.20/6.38 (v135(constB169)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31856, 31855, 31846])).
% 8.20/6.38 tff(31858,plain,
% 8.20/6.38 (((~![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)))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31859,plain,
% 8.20/6.38 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB169)) | (v86(constB169) <=> v148(constB169)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31860,plain,
% 8.20/6.38 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB169)) | (v86(constB169) <=> v148(constB169))),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[31859, 31858])).
% 8.20/6.38 tff(31861,plain,
% 8.20/6.38 (v86(constB169) <=> v148(constB169)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31860, 21855, 31857])).
% 8.20/6.38 tff(31862,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169)))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31863,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB169) | (~v142(constB169)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31864,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB169) | (~v142(constB169))),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[31863, 31862])).
% 8.20/6.38 tff(31865,plain,
% 8.20/6.38 (v148(constB169)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31864, 21869, 26561])).
% 8.20/6.38 tff(31866,plain,
% 8.20/6.38 ((~(v86(constB169) <=> v148(constB169))) | v86(constB169) | (~v148(constB169))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31867,plain,
% 8.20/6.38 ((~(v86(constB169) <=> v148(constB169))) | v86(constB169)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31866, 31865])).
% 8.20/6.38 tff(31868,plain,
% 8.20/6.38 (v86(constB169)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31867, 31861])).
% 8.20/6.38 tff(31869,plain,
% 8.20/6.38 ($false),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31868, 31844])).
% 8.20/6.38 tff(31870,plain,(~(constB169 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.20/6.38 tff(31871,assumption,(constB53 = VarCurr!0), introduced(assumption)).
% 8.20/6.38 tff(31872,plain,
% 8.20/6.38 (v86(constB53) <=> v86(VarCurr!0)),
% 8.20/6.38 inference(monotonicity,[status(thm)],[31871])).
% 8.20/6.38 tff(31873,plain,
% 8.20/6.38 (v86(VarCurr!0) <=> v86(constB53)),
% 8.20/6.38 inference(symmetry,[status(thm)],[31872])).
% 8.20/6.38 tff(31874,plain,
% 8.20/6.38 ((~v86(VarCurr!0)) <=> (~v86(constB53))),
% 8.20/6.38 inference(monotonicity,[status(thm)],[31873])).
% 8.20/6.38 tff(31875,plain,
% 8.20/6.38 (~v86(constB53)),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[21766, 31874])).
% 8.20/6.38 tff(31876,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB53) <=> (v136(constB53) | v145(constB53)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31877,plain,
% 8.20/6.38 (v135(constB53) <=> (v136(constB53) | v145(constB53))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31876, 21774])).
% 8.20/6.38 tff(31878,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB53) <=> (v137(constB53) | v142(constB53)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31879,plain,
% 8.20/6.38 (v136(constB53) <=> (v137(constB53) | v142(constB53))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31878, 21783])).
% 8.20/6.38 tff(31880,plain,
% 8.20/6.38 ((v137(constB53) | v142(constB53)) | (~v142(constB53))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31881,plain,
% 8.20/6.38 (v137(constB53) | v142(constB53)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31880, 28621])).
% 8.20/6.38 tff(31882,plain,
% 8.20/6.38 ((~(v136(constB53) <=> (v137(constB53) | v142(constB53)))) | v136(constB53) | (~(v137(constB53) | v142(constB53)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31883,plain,
% 8.20/6.38 ((~(v136(constB53) <=> (v137(constB53) | v142(constB53)))) | v136(constB53)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31882, 31881])).
% 8.20/6.38 tff(31884,plain,
% 8.20/6.38 (v136(constB53)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31883, 31879])).
% 8.20/6.38 tff(31885,plain,
% 8.20/6.38 ((v136(constB53) | v145(constB53)) | (~v136(constB53))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31886,plain,
% 8.20/6.38 (v136(constB53) | v145(constB53)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31885, 31884])).
% 8.20/6.38 tff(31887,plain,
% 8.20/6.38 ((~(v135(constB53) <=> (v136(constB53) | v145(constB53)))) | v135(constB53) | (~(v136(constB53) | v145(constB53)))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31888,plain,
% 8.20/6.38 (v135(constB53)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31887, 31886, 31877])).
% 8.20/6.38 tff(31889,plain,
% 8.20/6.38 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB53)) | (v86(constB53) <=> v148(constB53)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB53)) | (v86(constB53) <=> v148(constB53)))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31890,plain,
% 8.20/6.38 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB53)) | (v86(constB53) <=> v148(constB53)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31891,plain,
% 8.20/6.38 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB53)) | (v86(constB53) <=> v148(constB53))),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[31890, 31889])).
% 8.20/6.38 tff(31892,plain,
% 8.20/6.38 (v86(constB53) <=> v148(constB53)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31891, 21855, 31888])).
% 8.20/6.38 tff(31893,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB53) | (~v142(constB53)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB53) | (~v142(constB53)))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31894,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB53) | (~v142(constB53)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31895,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB53) | (~v142(constB53))),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[31894, 31893])).
% 8.20/6.38 tff(31896,plain,
% 8.20/6.38 (v148(constB53)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31895, 21869, 28621])).
% 8.20/6.38 tff(31897,plain,
% 8.20/6.38 ((~(v86(constB53) <=> v148(constB53))) | v86(constB53) | (~v148(constB53))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31898,plain,
% 8.20/6.38 ((~(v86(constB53) <=> v148(constB53))) | v86(constB53)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31897, 31896])).
% 8.20/6.38 tff(31899,plain,
% 8.20/6.38 (v86(constB53)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31898, 31892])).
% 8.20/6.38 tff(31900,plain,
% 8.20/6.38 ($false),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31899, 31875])).
% 8.20/6.38 tff(31901,plain,(~(constB53 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.20/6.38 tff(31902,assumption,(constB79 = VarCurr!0), introduced(assumption)).
% 8.20/6.38 tff(31903,plain,
% 8.20/6.38 (v180(constB79) <=> v180(VarCurr!0)),
% 8.20/6.38 inference(monotonicity,[status(thm)],[31902])).
% 8.20/6.38 tff(31904,plain,
% 8.20/6.38 (v180(VarCurr!0) <=> v180(constB79)),
% 8.20/6.38 inference(symmetry,[status(thm)],[31903])).
% 8.20/6.38 tff(31905,plain,
% 8.20/6.38 (v180(constB79)),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[59, 31904])).
% 8.20/6.38 tff(31906,plain,
% 8.20/6.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB78, constB79)) | (v180(constB79) <=> v178(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB78, constB79)) | (v180(constB79) <=> v178(constB78)))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31907,plain,
% 8.20/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB78, constB79)) | (v180(constB79) <=> v178(constB78)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31908,plain,
% 8.20/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB78, constB79)) | (v180(constB79) <=> v178(constB78))),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[31907, 31906])).
% 8.20/6.38 tff(31909,plain,
% 8.20/6.38 (v180(constB79) <=> v178(constB78)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31908, 1355, 70])).
% 8.20/6.38 tff(31910,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB78) <=> (v181(constB78) | v185(constB78)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31911,plain,
% 8.20/6.38 (v178(constB78) <=> (v181(constB78) | v185(constB78))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31910, 84])).
% 8.20/6.38 tff(31912,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB78) <=> (~((~v186(constB78)) | (~v187(constB78)))))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31913,plain,
% 8.20/6.38 (v185(constB78) <=> (~((~v186(constB78)) | (~v187(constB78))))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31912, 96])).
% 8.20/6.38 tff(31914,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB78) <=> (~((~v184(constB78)) | (~v159(constB78)))))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31915,plain,
% 8.20/6.38 (v187(constB78) <=> (~((~v184(constB78)) | (~v159(constB78))))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31914, 108])).
% 8.20/6.38 tff(31916,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31917,plain,
% 8.20/6.38 (v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78))))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31916, 120])).
% 8.20/6.38 tff(31918,plain,
% 8.20/6.38 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB78)) <=> v1(constB78))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31919,plain,
% 8.20/6.38 ((~v39(constB78)) <=> v1(constB78)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31918, 129])).
% 8.20/6.38 tff(31920,plain,
% 8.20/6.38 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78)) | (~v1(constB78))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31921,plain,
% 8.20/6.38 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31920, 10108])).
% 8.20/6.38 tff(31922,plain,
% 8.20/6.38 (~v39(constB78)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31921, 31919])).
% 8.20/6.38 tff(31923,plain,
% 8.20/6.38 (((~v39(constB78)) | (~v9(constB78))) | v39(constB78)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31924,plain,
% 8.20/6.38 ((~v39(constB78)) | (~v9(constB78))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31923, 31922])).
% 8.20/6.38 tff(31925,plain,
% 8.20/6.38 ((~(v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v184(constB78)) | (~((~v39(constB78)) | (~v9(constB78))))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31926,plain,
% 8.20/6.38 ((~(v184(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v184(constB78))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31925, 31924])).
% 8.20/6.38 tff(31927,plain,
% 8.20/6.38 (~v184(constB78)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31926, 31917])).
% 8.20/6.38 tff(31928,plain,
% 8.20/6.38 (((~v184(constB78)) | (~v159(constB78))) | v184(constB78)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31929,plain,
% 8.20/6.38 ((~v184(constB78)) | (~v159(constB78))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31928, 31927])).
% 8.20/6.38 tff(31930,plain,
% 8.20/6.38 ((~(v187(constB78) <=> (~((~v184(constB78)) | (~v159(constB78)))))) | (~v187(constB78)) | (~((~v184(constB78)) | (~v159(constB78))))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31931,plain,
% 8.20/6.38 ((~(v187(constB78) <=> (~((~v184(constB78)) | (~v159(constB78)))))) | (~v187(constB78))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31930, 31929])).
% 8.20/6.38 tff(31932,plain,
% 8.20/6.38 (~v187(constB78)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31931, 31915])).
% 8.20/6.38 tff(31933,plain,
% 8.20/6.38 (((~v186(constB78)) | (~v187(constB78))) | v187(constB78)),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31934,plain,
% 8.20/6.38 ((~v186(constB78)) | (~v187(constB78))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31933, 31932])).
% 8.20/6.38 tff(31935,plain,
% 8.20/6.38 ((~(v185(constB78) <=> (~((~v186(constB78)) | (~v187(constB78)))))) | (~v185(constB78)) | (~((~v186(constB78)) | (~v187(constB78))))),
% 8.20/6.38 inference(tautology,[status(thm)],[])).
% 8.20/6.38 tff(31936,plain,
% 8.20/6.38 (~v185(constB78)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31935, 31934, 31913])).
% 8.20/6.38 tff(31937,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78))))))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31938,plain,
% 8.20/6.38 ((v181(constB78) <=> (~((~v182(constB78)) | (~v157(constB78))))) <=> (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78)))))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31939,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v182(constB78)) | (~v157(constB78)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78))))))),
% 8.20/6.38 inference(monotonicity,[status(thm)],[31938])).
% 8.20/6.38 tff(31940,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v182(constB78)) | (~v157(constB78)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78))))))),
% 8.20/6.38 inference(transitivity,[status(thm)],[31939, 31937])).
% 8.20/6.38 tff(31941,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v182(constB78)) | (~v157(constB78)))))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31942,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78)))))),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[31941, 31940])).
% 8.20/6.38 tff(31943,plain,
% 8.20/6.38 (v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78))))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31942, 161])).
% 8.20/6.38 tff(31944,plain,
% 8.20/6.38 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB78) <=> v180(constB78))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31945,plain,
% 8.20/6.38 (v157(constB78) <=> v180(constB78)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31944, 13])).
% 8.20/6.38 tff(31946,plain,
% 8.20/6.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB77, constB78)) | (v180(constB78) <=> v178(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB77, constB78)) | (v180(constB78) <=> v178(constB77)))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31947,plain,
% 8.20/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB77, constB78)) | (v180(constB78) <=> v178(constB77)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31948,plain,
% 8.20/6.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB77, constB78)) | (v180(constB78) <=> v178(constB77))),
% 8.20/6.38 inference(modus_ponens,[status(thm)],[31947, 31946])).
% 8.20/6.38 tff(31949,plain,
% 8.20/6.38 (v180(constB78) <=> v178(constB77)),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31948, 1391, 70])).
% 8.20/6.38 tff(31950,plain,
% 8.20/6.38 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB77) <=> (v181(constB77) | v185(constB77)))),
% 8.20/6.38 inference(quant_inst,[status(thm)],[])).
% 8.20/6.38 tff(31951,plain,
% 8.20/6.38 (v178(constB77) <=> (v181(constB77) | v185(constB77))),
% 8.20/6.38 inference(unit_resolution,[status(thm)],[31950, 84])).
% 8.20/6.38 tff(31952,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77))))))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31953,plain,
% 8.20/6.38 ((v181(constB77) <=> (~((~v182(constB77)) | (~v157(constB77))))) <=> (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77)))))),
% 8.20/6.38 inference(rewrite,[status(thm)],[])).
% 8.20/6.38 tff(31954,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v182(constB77)) | (~v157(constB77)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77))))))),
% 8.20/6.38 inference(monotonicity,[status(thm)],[31953])).
% 8.20/6.38 tff(31955,plain,
% 8.20/6.38 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v182(constB77)) | (~v157(constB77)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77))))))),
% 8.20/6.39 inference(transitivity,[status(thm)],[31954, 31952])).
% 8.20/6.39 tff(31956,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v182(constB77)) | (~v157(constB77)))))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31957,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77)))))),
% 8.20/6.39 inference(modus_ponens,[status(thm)],[31956, 31955])).
% 8.20/6.39 tff(31958,plain,
% 8.20/6.39 (v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77))))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31957, 161])).
% 8.20/6.39 tff(31959,plain,
% 8.20/6.39 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB77)) <=> v183(constB77))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31960,plain,
% 8.20/6.39 ((~v182(constB77)) <=> v183(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31959, 193])).
% 8.20/6.39 tff(31961,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB77) <=> (v184(constB77) | v26(constB77)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31962,plain,
% 8.20/6.39 (v183(constB77) <=> (v184(constB77) | v26(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31961, 202])).
% 8.20/6.39 tff(31963,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB77) <=> (~((~v39(constB77)) | (~v9(constB77)))))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31964,plain,
% 8.20/6.39 (v184(constB77) <=> (~((~v39(constB77)) | (~v9(constB77))))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31963, 120])).
% 8.20/6.39 tff(31965,plain,
% 8.20/6.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77)))),
% 8.20/6.39 inference(rewrite,[status(thm)],[])).
% 8.20/6.39 tff(31966,plain,
% 8.20/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31967,plain,
% 8.20/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77))),
% 8.20/6.39 inference(modus_ponens,[status(thm)],[31966, 31965])).
% 8.20/6.39 tff(31968,plain,
% 8.20/6.39 (v13(constB78) <=> v9(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31967, 1391, 216])).
% 8.20/6.39 tff(31969,plain,
% 8.20/6.39 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB78) <=> v13(constB78))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31970,plain,
% 8.20/6.39 (v6(constB78) <=> v13(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31969, 230])).
% 8.20/6.39 tff(31971,plain,
% 8.20/6.39 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB78)) <=> v6(constB78))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31972,plain,
% 8.20/6.39 ((~v21(constB78)) <=> v6(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31971, 239])).
% 8.20/6.39 tff(31973,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB78) <=> (v20(constB78) | v21(constB78)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31974,plain,
% 8.20/6.39 (v19(constB78) <=> (v20(constB78) | v21(constB78))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31973, 248])).
% 8.20/6.39 tff(31975,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78)))))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31976,plain,
% 8.20/6.39 (v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78))))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31975, 260])).
% 8.20/6.39 tff(31977,plain,
% 8.20/6.39 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB78)) <=> v18(constB78))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31978,plain,
% 8.20/6.39 ((~v4(constB78)) <=> v18(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31977, 269])).
% 8.20/6.39 tff(31979,plain,
% 8.20/6.39 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB78)),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31980,plain,
% 8.20/6.39 (v4(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31979, 278])).
% 8.20/6.39 tff(31981,plain,
% 8.20/6.39 ((~((~v4(constB78)) <=> v18(constB78))) | (~v4(constB78)) | (~v18(constB78))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(31982,plain,
% 8.20/6.39 (~v18(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31981, 31980, 31978])).
% 8.20/6.39 tff(31983,plain,
% 8.20/6.39 ((~(v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78)))))) | v18(constB78) | ((~v19(constB78)) | (~v22(constB78)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(31984,plain,
% 8.20/6.39 ((~v19(constB78)) | (~v22(constB78))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31983, 31982, 31976])).
% 8.20/6.39 tff(31985,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB78) <=> (v1(constB78) | v6(constB78)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(31986,plain,
% 8.20/6.39 (v22(constB78) <=> (v1(constB78) | v6(constB78))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31985, 291])).
% 8.20/6.39 tff(31987,plain,
% 8.20/6.39 ((v1(constB78) | v6(constB78)) | (~v1(constB78))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(31988,plain,
% 8.20/6.39 (v1(constB78) | v6(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31987, 10108])).
% 8.20/6.39 tff(31989,plain,
% 8.20/6.39 ((~(v22(constB78) <=> (v1(constB78) | v6(constB78)))) | v22(constB78) | (~(v1(constB78) | v6(constB78)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(31990,plain,
% 8.20/6.39 ((~(v22(constB78) <=> (v1(constB78) | v6(constB78)))) | v22(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31989, 31988])).
% 8.20/6.39 tff(31991,plain,
% 8.20/6.39 (v22(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31990, 31986])).
% 8.20/6.39 tff(31992,plain,
% 8.20/6.39 ((~((~v19(constB78)) | (~v22(constB78)))) | (~v19(constB78)) | (~v22(constB78))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(31993,plain,
% 8.20/6.39 ((~((~v19(constB78)) | (~v22(constB78)))) | (~v19(constB78))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31992, 31991])).
% 8.20/6.39 tff(31994,plain,
% 8.20/6.39 (~v19(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31993, 31984])).
% 8.20/6.39 tff(31995,plain,
% 8.20/6.39 ((~(v19(constB78) <=> (v20(constB78) | v21(constB78)))) | v19(constB78) | (~(v20(constB78) | v21(constB78)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(31996,plain,
% 8.20/6.39 (~(v20(constB78) | v21(constB78))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31995, 31994, 31974])).
% 8.20/6.39 tff(31997,plain,
% 8.20/6.39 ((v20(constB78) | v21(constB78)) | (~v21(constB78))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(31998,plain,
% 8.20/6.39 (~v21(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31997, 31996])).
% 8.20/6.39 tff(31999,plain,
% 8.20/6.39 ((~((~v21(constB78)) <=> v6(constB78))) | v21(constB78) | v6(constB78)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32000,plain,
% 8.20/6.39 (v6(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[31999, 31998, 31972])).
% 8.20/6.39 tff(32001,plain,
% 8.20/6.39 ((~(v6(constB78) <=> v13(constB78))) | (~v6(constB78)) | v13(constB78)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32002,plain,
% 8.20/6.39 (v13(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32001, 32000, 31970])).
% 8.20/6.39 tff(32003,plain,
% 8.20/6.39 ((~(v13(constB78) <=> v9(constB77))) | (~v13(constB78)) | v9(constB77)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32004,plain,
% 8.20/6.39 (v9(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32003, 32002, 31968])).
% 8.20/6.39 tff(32005,plain,
% 8.20/6.39 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB77)) <=> v1(constB77))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32006,plain,
% 8.20/6.39 ((~v39(constB77)) <=> v1(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32005, 129])).
% 8.20/6.39 tff(32007,plain,
% 8.20/6.39 ((~((~v39(constB77)) <=> v1(constB77))) | v39(constB77) | v1(constB77)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32008,plain,
% 8.20/6.39 ((~((~v39(constB77)) <=> v1(constB77))) | v39(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32007, 1435])).
% 8.20/6.39 tff(32009,plain,
% 8.20/6.39 (v39(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32008, 32006])).
% 8.20/6.39 tff(32010,plain,
% 8.20/6.39 ((~((~v39(constB77)) | (~v9(constB77)))) | (~v39(constB77)) | (~v9(constB77))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32011,plain,
% 8.20/6.39 ((~((~v39(constB77)) | (~v9(constB77)))) | (~v9(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32010, 32009])).
% 8.20/6.39 tff(32012,plain,
% 8.20/6.39 (~((~v39(constB77)) | (~v9(constB77)))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32011, 32004])).
% 8.20/6.39 tff(32013,plain,
% 8.20/6.39 ((~(v184(constB77) <=> (~((~v39(constB77)) | (~v9(constB77)))))) | v184(constB77) | ((~v39(constB77)) | (~v9(constB77)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32014,plain,
% 8.20/6.39 (v184(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32013, 32012, 31964])).
% 8.20/6.39 tff(32015,plain,
% 8.20/6.39 ((v184(constB77) | v26(constB77)) | (~v184(constB77))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32016,plain,
% 8.20/6.39 (v184(constB77) | v26(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32015, 32014])).
% 8.20/6.39 tff(32017,plain,
% 8.20/6.39 ((~(v183(constB77) <=> (v184(constB77) | v26(constB77)))) | v183(constB77) | (~(v184(constB77) | v26(constB77)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32018,plain,
% 8.20/6.39 (v183(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32017, 32016, 31962])).
% 8.20/6.39 tff(32019,plain,
% 8.20/6.39 ((~((~v182(constB77)) <=> v183(constB77))) | (~v182(constB77)) | (~v183(constB77))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32020,plain,
% 8.20/6.39 (~v182(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32019, 32018, 31960])).
% 8.20/6.39 tff(32021,plain,
% 8.20/6.39 (((~v157(constB77)) | (~v182(constB77))) | v182(constB77)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32022,plain,
% 8.20/6.39 ((~v157(constB77)) | (~v182(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32021, 32020])).
% 8.20/6.39 tff(32023,plain,
% 8.20/6.39 ((~(v181(constB77) <=> (~((~v157(constB77)) | (~v182(constB77)))))) | (~v181(constB77)) | (~((~v157(constB77)) | (~v182(constB77))))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32024,plain,
% 8.20/6.39 (~v181(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32023, 32022, 31958])).
% 8.20/6.39 tff(32025,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB77) <=> (~((~v186(constB77)) | (~v187(constB77)))))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32026,plain,
% 8.20/6.39 (v185(constB77) <=> (~((~v186(constB77)) | (~v187(constB77))))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32025, 96])).
% 8.20/6.39 tff(32027,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB77) <=> (~((~v184(constB77)) | (~v159(constB77)))))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32028,plain,
% 8.20/6.39 (v187(constB77) <=> (~((~v184(constB77)) | (~v159(constB77))))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32027, 108])).
% 8.20/6.39 tff(32029,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB77) <=> v161(constB77))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32030,plain,
% 8.20/6.39 (v159(constB77) <=> v161(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32029, 345])).
% 8.20/6.39 tff(32031,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB77) <=> (v145(constB77) | v165(constB77)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32032,plain,
% 8.20/6.39 (v164(constB77) <=> (v145(constB77) | v165(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32031, 357])).
% 8.20/6.39 tff(32033,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB77) <=> (v142(constB77) | v166(constB77)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32034,plain,
% 8.20/6.39 (v165(constB77) <=> (v142(constB77) | v166(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32033, 369])).
% 8.20/6.39 tff(32035,plain,
% 8.20/6.39 ((v142(constB77) | v166(constB77)) | (~v142(constB77))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32036,plain,
% 8.20/6.39 (v142(constB77) | v166(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32035, 26669])).
% 8.20/6.39 tff(32037,plain,
% 8.20/6.39 ((~(v165(constB77) <=> (v142(constB77) | v166(constB77)))) | v165(constB77) | (~(v142(constB77) | v166(constB77)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32038,plain,
% 8.20/6.39 ((~(v165(constB77) <=> (v142(constB77) | v166(constB77)))) | v165(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32037, 32036])).
% 8.20/6.39 tff(32039,plain,
% 8.20/6.39 (v165(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32038, 32034])).
% 8.20/6.39 tff(32040,plain,
% 8.20/6.39 ((v145(constB77) | v165(constB77)) | (~v165(constB77))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32041,plain,
% 8.20/6.39 (v145(constB77) | v165(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32040, 32039])).
% 8.20/6.39 tff(32042,plain,
% 8.20/6.39 ((~(v164(constB77) <=> (v145(constB77) | v165(constB77)))) | v164(constB77) | (~(v145(constB77) | v165(constB77)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32043,plain,
% 8.20/6.39 (v164(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32042, 32041, 32032])).
% 8.20/6.39 tff(32044,plain,
% 8.20/6.39 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB77)) | (v161(constB77) <=> v168(constB77)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB77)) | (v161(constB77) <=> v168(constB77)))),
% 8.20/6.39 inference(rewrite,[status(thm)],[])).
% 8.20/6.39 tff(32045,plain,
% 8.20/6.39 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB77)) | (v161(constB77) <=> v168(constB77)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32046,plain,
% 8.20/6.39 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB77)) | (v161(constB77) <=> v168(constB77))),
% 8.20/6.39 inference(modus_ponens,[status(thm)],[32045, 32044])).
% 8.20/6.39 tff(32047,plain,
% 8.20/6.39 ((~v164(constB77)) | (v161(constB77) <=> v168(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32046, 12128])).
% 8.20/6.39 tff(32048,plain,
% 8.20/6.39 (v161(constB77) <=> v168(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32047, 32043])).
% 8.20/6.39 tff(32049,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2))))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32050,plain,
% 8.20/6.39 (v139(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32049, 12146])).
% 8.20/6.39 tff(32051,plain,
% 8.20/6.39 ((v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)) | (~v88(constB77, bitIndex1))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32052,plain,
% 8.20/6.39 (v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32051, 26661])).
% 8.20/6.39 tff(32053,plain,
% 8.20/6.39 ((~(v139(constB77) <=> (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2))))) | (~v139(constB77)) | (~(v88(constB77, bitIndex0) | v88(constB77, bitIndex1) | v88(constB77, bitIndex2)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32054,plain,
% 8.20/6.39 (~v139(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32053, 32052, 32050])).
% 8.20/6.39 tff(32055,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB77) <=> (~(v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0)))))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32056,plain,
% 8.20/6.39 (v140(constB77) <=> (~(v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0))))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32055, 12165])).
% 8.20/6.39 tff(32057,plain,
% 8.20/6.39 ((v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0))) | (~v88(constB77, bitIndex1))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32058,plain,
% 8.20/6.39 (v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32057, 26661])).
% 8.20/6.39 tff(32059,plain,
% 8.20/6.39 ((~(v140(constB77) <=> (~(v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0)))))) | (~v140(constB77)) | (~(v88(constB77, bitIndex1) | v88(constB77, bitIndex2) | (~v88(constB77, bitIndex0))))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32060,plain,
% 8.20/6.39 (~v140(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32059, 32058, 32056])).
% 8.20/6.39 tff(32061,plain,
% 8.20/6.39 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB77) | v139(constB77) | (~v168(constB77)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB77) | v139(constB77) | (~v168(constB77)))),
% 8.20/6.39 inference(rewrite,[status(thm)],[])).
% 8.20/6.39 tff(32062,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB77) | v139(constB77) | (~v168(constB77)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32063,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB77) | v139(constB77) | (~v168(constB77))),
% 8.20/6.39 inference(modus_ponens,[status(thm)],[32062, 32061])).
% 8.20/6.39 tff(32064,plain,
% 8.20/6.39 (v140(constB77) | v139(constB77) | (~v168(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32063, 12184])).
% 8.20/6.39 tff(32065,plain,
% 8.20/6.39 (~v168(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32064, 32060, 32054])).
% 8.20/6.39 tff(32066,plain,
% 8.20/6.39 ((~(v161(constB77) <=> v168(constB77))) | (~v161(constB77)) | v168(constB77)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32067,plain,
% 8.20/6.39 ((~(v161(constB77) <=> v168(constB77))) | (~v161(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32066, 32065])).
% 8.20/6.39 tff(32068,plain,
% 8.20/6.39 (~v161(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32067, 32048])).
% 8.20/6.39 tff(32069,plain,
% 8.20/6.39 ((~(v159(constB77) <=> v161(constB77))) | (~v159(constB77)) | v161(constB77)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32070,plain,
% 8.20/6.39 ((~(v159(constB77) <=> v161(constB77))) | (~v159(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32069, 32068])).
% 8.20/6.39 tff(32071,plain,
% 8.20/6.39 (~v159(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32070, 32030])).
% 8.20/6.39 tff(32072,plain,
% 8.20/6.39 (((~v184(constB77)) | (~v159(constB77))) | v159(constB77)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32073,plain,
% 8.20/6.39 ((~v184(constB77)) | (~v159(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32072, 32071])).
% 8.20/6.39 tff(32074,plain,
% 8.20/6.39 ((~(v187(constB77) <=> (~((~v184(constB77)) | (~v159(constB77)))))) | (~v187(constB77)) | (~((~v184(constB77)) | (~v159(constB77))))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32075,plain,
% 8.20/6.39 (~v187(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32074, 32073, 32028])).
% 8.20/6.39 tff(32076,plain,
% 8.20/6.39 (((~v186(constB77)) | (~v187(constB77))) | v187(constB77)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32077,plain,
% 8.20/6.39 ((~v186(constB77)) | (~v187(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32076, 32075])).
% 8.20/6.39 tff(32078,plain,
% 8.20/6.39 ((~(v185(constB77) <=> (~((~v186(constB77)) | (~v187(constB77)))))) | (~v185(constB77)) | (~((~v186(constB77)) | (~v187(constB77))))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32079,plain,
% 8.20/6.39 (~v185(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32078, 32077, 32026])).
% 8.20/6.39 tff(32080,plain,
% 8.20/6.39 ((~(v181(constB77) | v185(constB77))) | v181(constB77) | v185(constB77)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32081,plain,
% 8.20/6.39 (~(v181(constB77) | v185(constB77))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32080, 32079, 32024])).
% 8.20/6.39 tff(32082,plain,
% 8.20/6.39 ((~(v178(constB77) <=> (v181(constB77) | v185(constB77)))) | (~v178(constB77)) | (v181(constB77) | v185(constB77))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32083,plain,
% 8.20/6.39 (~v178(constB77)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32082, 32081, 31951])).
% 8.20/6.39 tff(32084,plain,
% 8.20/6.39 ((~(v180(constB78) <=> v178(constB77))) | (~v180(constB78)) | v178(constB77)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32085,plain,
% 8.20/6.39 (~v180(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32084, 32083, 31949])).
% 8.20/6.39 tff(32086,plain,
% 8.20/6.39 ((~(v157(constB78) <=> v180(constB78))) | (~v157(constB78)) | v180(constB78)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32087,plain,
% 8.20/6.39 (~v157(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32086, 32085, 31945])).
% 8.20/6.39 tff(32088,plain,
% 8.20/6.39 (((~v157(constB78)) | (~v182(constB78))) | v157(constB78)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32089,plain,
% 8.20/6.39 ((~v157(constB78)) | (~v182(constB78))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32088, 32087])).
% 8.20/6.39 tff(32090,plain,
% 8.20/6.39 ((~(v181(constB78) <=> (~((~v157(constB78)) | (~v182(constB78)))))) | (~v181(constB78)) | (~((~v157(constB78)) | (~v182(constB78))))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32091,plain,
% 8.20/6.39 (~v181(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32090, 32089, 31943])).
% 8.20/6.39 tff(32092,plain,
% 8.20/6.39 ((~(v181(constB78) | v185(constB78))) | v181(constB78) | v185(constB78)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32093,plain,
% 8.20/6.39 (~(v181(constB78) | v185(constB78))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32092, 32091, 31936])).
% 8.20/6.39 tff(32094,plain,
% 8.20/6.39 ((~(v178(constB78) <=> (v181(constB78) | v185(constB78)))) | (~v178(constB78)) | (v181(constB78) | v185(constB78))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32095,plain,
% 8.20/6.39 (~v178(constB78)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32094, 32093, 31911])).
% 8.20/6.39 tff(32096,plain,
% 8.20/6.39 ((~(v180(constB79) <=> v178(constB78))) | (~v180(constB79)) | v178(constB78)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32097,plain,
% 8.20/6.39 (~v180(constB79)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32096, 32095, 31909])).
% 8.20/6.39 tff(32098,plain,
% 8.20/6.39 ($false),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32097, 31905])).
% 8.20/6.39 tff(32099,plain,(~(constB79 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.20/6.39 tff(32100,assumption,(constB137 = VarCurr!0), introduced(assumption)).
% 8.20/6.39 tff(32101,plain,
% 8.20/6.39 (v86(constB137) <=> v86(VarCurr!0)),
% 8.20/6.39 inference(monotonicity,[status(thm)],[32100])).
% 8.20/6.39 tff(32102,plain,
% 8.20/6.39 (v86(VarCurr!0) <=> v86(constB137)),
% 8.20/6.39 inference(symmetry,[status(thm)],[32101])).
% 8.20/6.39 tff(32103,plain,
% 8.20/6.39 ((~v86(VarCurr!0)) <=> (~v86(constB137))),
% 8.20/6.39 inference(monotonicity,[status(thm)],[32102])).
% 8.20/6.39 tff(32104,plain,
% 8.20/6.39 (~v86(constB137)),
% 8.20/6.39 inference(modus_ponens,[status(thm)],[21766, 32103])).
% 8.20/6.39 tff(32105,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB137) <=> (v136(constB137) | v145(constB137)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32106,plain,
% 8.20/6.39 (v135(constB137) <=> (v136(constB137) | v145(constB137))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32105, 21774])).
% 8.20/6.39 tff(32107,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB137) <=> (v137(constB137) | v142(constB137)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32108,plain,
% 8.20/6.39 (v136(constB137) <=> (v137(constB137) | v142(constB137))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32107, 21783])).
% 8.20/6.39 tff(32109,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB137) <=> (v143(constB137) | v144(constB137)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32110,plain,
% 8.20/6.39 (v142(constB137) <=> (v143(constB137) | v144(constB137))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32109, 21792])).
% 8.20/6.39 tff(32111,plain,
% 8.20/6.39 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0)))))),
% 8.20/6.39 inference(rewrite,[status(thm)],[])).
% 8.20/6.39 tff(32112,plain,
% 8.20/6.39 ((v143(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1))))) <=> (v143(constB137) <=> (~((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0))))),
% 8.20/6.39 inference(rewrite,[status(thm)],[])).
% 8.20/6.39 tff(32113,plain,
% 8.20/6.39 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0)))))),
% 8.20/6.39 inference(monotonicity,[status(thm)],[32112])).
% 8.20/6.39 tff(32114,plain,
% 8.20/6.39 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0)))))),
% 8.20/6.39 inference(transitivity,[status(thm)],[32113, 32111])).
% 8.20/6.39 tff(32115,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)))))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32116,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB137) <=> (~((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0))))),
% 8.20/6.39 inference(modus_ponens,[status(thm)],[32115, 32114])).
% 8.20/6.39 tff(32117,plain,
% 8.20/6.39 (v143(constB137) <=> (~((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0)))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32116, 23745])).
% 8.20/6.39 tff(32118,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB137, bitIndex1)) <=> v90(constB137, bitIndex1)) | ((~v88(constB137, bitIndex2)) <=> v90(constB137, bitIndex2)) | ((~v88(constB137, bitIndex0)) <=> v90(constB137, bitIndex0))))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32119,plain,
% 8.20/6.39 (~(((~v88(constB137, bitIndex1)) <=> v90(constB137, bitIndex1)) | ((~v88(constB137, bitIndex2)) <=> v90(constB137, bitIndex2)) | ((~v88(constB137, bitIndex0)) <=> v90(constB137, bitIndex0)))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32118, 416])).
% 8.20/6.39 tff(32120,plain,
% 8.20/6.39 ((((~v88(constB137, bitIndex1)) <=> v90(constB137, bitIndex1)) | ((~v88(constB137, bitIndex2)) <=> v90(constB137, bitIndex2)) | ((~v88(constB137, bitIndex0)) <=> v90(constB137, bitIndex0))) | (~((~v88(constB137, bitIndex2)) <=> v90(constB137, bitIndex2)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32121,plain,
% 8.20/6.39 (~((~v88(constB137, bitIndex2)) <=> v90(constB137, bitIndex2))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32120, 32119])).
% 8.20/6.39 tff(32122,plain,
% 8.20/6.39 (((~v88(constB137, bitIndex2)) <=> v90(constB137, bitIndex2)) | (~v88(constB137, bitIndex2)) | v90(constB137, bitIndex2)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32123,plain,
% 8.20/6.39 (~v88(constB137, bitIndex2)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32122, 17682, 32121])).
% 8.20/6.39 tff(32124,plain,
% 8.20/6.39 ((((~v88(constB137, bitIndex1)) <=> v90(constB137, bitIndex1)) | ((~v88(constB137, bitIndex2)) <=> v90(constB137, bitIndex2)) | ((~v88(constB137, bitIndex0)) <=> v90(constB137, bitIndex0))) | (~((~v88(constB137, bitIndex0)) <=> v90(constB137, bitIndex0)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32125,plain,
% 8.20/6.39 (~((~v88(constB137, bitIndex0)) <=> v90(constB137, bitIndex0))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32124, 32119])).
% 8.20/6.39 tff(32126,plain,
% 8.20/6.39 (((~v88(constB137, bitIndex0)) <=> v90(constB137, bitIndex0)) | (~v88(constB137, bitIndex0)) | v90(constB137, bitIndex0)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32127,plain,
% 8.20/6.39 (~v88(constB137, bitIndex0)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32126, 17700, 32125])).
% 8.20/6.39 tff(32128,plain,
% 8.20/6.39 ((((~v88(constB137, bitIndex1)) <=> v90(constB137, bitIndex1)) | ((~v88(constB137, bitIndex2)) <=> v90(constB137, bitIndex2)) | ((~v88(constB137, bitIndex0)) <=> v90(constB137, bitIndex0))) | (~((~v88(constB137, bitIndex1)) <=> v90(constB137, bitIndex1)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32129,plain,
% 8.20/6.39 (~((~v88(constB137, bitIndex1)) <=> v90(constB137, bitIndex1))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32128, 32119])).
% 8.20/6.39 tff(32130,plain,
% 8.20/6.39 (((~v88(constB137, bitIndex1)) <=> v90(constB137, bitIndex1)) | v88(constB137, bitIndex1) | (~v90(constB137, bitIndex1))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32131,plain,
% 8.20/6.39 (v88(constB137, bitIndex1)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32130, 17718, 32129])).
% 8.20/6.39 tff(32132,plain,
% 8.20/6.39 ((~((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0))) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0)),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32133,plain,
% 8.20/6.39 (~((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0))),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32132, 32131, 32127, 32123])).
% 8.20/6.39 tff(32134,plain,
% 8.20/6.39 ((~(v143(constB137) <=> (~((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0))))) | v143(constB137) | ((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex2) | v88(constB137, bitIndex0))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32135,plain,
% 8.20/6.39 (v143(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32134, 32133, 32117])).
% 8.20/6.39 tff(32136,plain,
% 8.20/6.39 ((v143(constB137) | v144(constB137)) | (~v143(constB137))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32137,plain,
% 8.20/6.39 (v143(constB137) | v144(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32136, 32135])).
% 8.20/6.39 tff(32138,plain,
% 8.20/6.39 ((~(v142(constB137) <=> (v143(constB137) | v144(constB137)))) | v142(constB137) | (~(v143(constB137) | v144(constB137)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32139,plain,
% 8.20/6.39 (v142(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32138, 32137, 32110])).
% 8.20/6.39 tff(32140,plain,
% 8.20/6.39 ((v137(constB137) | v142(constB137)) | (~v142(constB137))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32141,plain,
% 8.20/6.39 (v137(constB137) | v142(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32140, 32139])).
% 8.20/6.39 tff(32142,plain,
% 8.20/6.39 ((~(v136(constB137) <=> (v137(constB137) | v142(constB137)))) | v136(constB137) | (~(v137(constB137) | v142(constB137)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32143,plain,
% 8.20/6.39 ((~(v136(constB137) <=> (v137(constB137) | v142(constB137)))) | v136(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32142, 32141])).
% 8.20/6.39 tff(32144,plain,
% 8.20/6.39 (v136(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32143, 32108])).
% 8.20/6.39 tff(32145,plain,
% 8.20/6.39 ((v136(constB137) | v145(constB137)) | (~v136(constB137))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32146,plain,
% 8.20/6.39 (v136(constB137) | v145(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32145, 32144])).
% 8.20/6.39 tff(32147,plain,
% 8.20/6.39 ((~(v135(constB137) <=> (v136(constB137) | v145(constB137)))) | v135(constB137) | (~(v136(constB137) | v145(constB137)))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32148,plain,
% 8.20/6.39 (v135(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32147, 32146, 32106])).
% 8.20/6.39 tff(32149,plain,
% 8.20/6.39 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB137)) | (v86(constB137) <=> v148(constB137)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB137)) | (v86(constB137) <=> v148(constB137)))),
% 8.20/6.39 inference(rewrite,[status(thm)],[])).
% 8.20/6.39 tff(32150,plain,
% 8.20/6.39 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB137)) | (v86(constB137) <=> v148(constB137)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32151,plain,
% 8.20/6.39 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB137)) | (v86(constB137) <=> v148(constB137))),
% 8.20/6.39 inference(modus_ponens,[status(thm)],[32150, 32149])).
% 8.20/6.39 tff(32152,plain,
% 8.20/6.39 (v86(constB137) <=> v148(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32151, 21855, 32148])).
% 8.20/6.39 tff(32153,plain,
% 8.20/6.39 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB137) | (~v142(constB137)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB137) | (~v142(constB137)))),
% 8.20/6.39 inference(rewrite,[status(thm)],[])).
% 8.20/6.39 tff(32154,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB137) | (~v142(constB137)))),
% 8.20/6.39 inference(quant_inst,[status(thm)],[])).
% 8.20/6.39 tff(32155,plain,
% 8.20/6.39 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB137) | (~v142(constB137))),
% 8.20/6.39 inference(modus_ponens,[status(thm)],[32154, 32153])).
% 8.20/6.39 tff(32156,plain,
% 8.20/6.39 (v148(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32155, 21869, 32139])).
% 8.20/6.39 tff(32157,plain,
% 8.20/6.39 ((~(v86(constB137) <=> v148(constB137))) | v86(constB137) | (~v148(constB137))),
% 8.20/6.39 inference(tautology,[status(thm)],[])).
% 8.20/6.39 tff(32158,plain,
% 8.20/6.39 ((~(v86(constB137) <=> v148(constB137))) | v86(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32157, 32156])).
% 8.20/6.39 tff(32159,plain,
% 8.20/6.39 (v86(constB137)),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32158, 32152])).
% 8.20/6.39 tff(32160,plain,
% 8.20/6.39 ($false),
% 8.20/6.39 inference(unit_resolution,[status(thm)],[32159, 32104])).
% 8.20/6.39 tff(32161,plain,(~(constB137 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.20/6.39 tff(32162,assumption,(constB127 = VarCurr!0), introduced(assumption)).
% 8.20/6.39 tff(32163,plain,
% 8.20/6.39 (v180(constB127) <=> v180(VarCurr!0)),
% 8.20/6.39 inference(monotonicity,[status(thm)],[32162])).
% 8.20/6.39 tff(32164,plain,
% 8.20/6.39 (v180(VarCurr!0) <=> v180(constB127)),
% 8.20/6.39 inference(symmetry,[status(thm)],[32163])).
% 8.20/6.39 tff(32165,plain,
% 8.28/6.39 (v180(constB127)),
% 8.28/6.39 inference(modus_ponens,[status(thm)],[59, 32164])).
% 8.28/6.39 tff(32166,plain,
% 8.28/6.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB126, constB127)) | (v180(constB127) <=> v178(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB126, constB127)) | (v180(constB127) <=> v178(constB126)))),
% 8.28/6.39 inference(rewrite,[status(thm)],[])).
% 8.28/6.39 tff(32167,plain,
% 8.28/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB126, constB127)) | (v180(constB127) <=> v178(constB126)))),
% 8.28/6.39 inference(quant_inst,[status(thm)],[])).
% 8.28/6.39 tff(32168,plain,
% 8.28/6.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB126, constB127)) | (v180(constB127) <=> v178(constB126))),
% 8.28/6.39 inference(modus_ponens,[status(thm)],[32167, 32166])).
% 8.28/6.39 tff(32169,plain,
% 8.28/6.39 (v180(constB127) <=> v178(constB126)),
% 8.28/6.39 inference(unit_resolution,[status(thm)],[32168, 14311, 70])).
% 8.28/6.39 tff(32170,plain,
% 8.28/6.39 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB126) <=> (v181(constB126) | v185(constB126)))),
% 8.28/6.39 inference(quant_inst,[status(thm)],[])).
% 8.28/6.39 tff(32171,plain,
% 8.28/6.39 (v178(constB126) <=> (v181(constB126) | v185(constB126))),
% 8.28/6.39 inference(unit_resolution,[status(thm)],[32170, 84])).
% 8.28/6.39 tff(32172,plain,
% 8.28/6.39 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB126) <=> (~((~v186(constB126)) | (~v187(constB126)))))),
% 8.28/6.39 inference(quant_inst,[status(thm)],[])).
% 8.28/6.39 tff(32173,plain,
% 8.28/6.39 (v185(constB126) <=> (~((~v186(constB126)) | (~v187(constB126))))),
% 8.28/6.39 inference(unit_resolution,[status(thm)],[32172, 96])).
% 8.28/6.39 tff(32174,plain,
% 8.28/6.39 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB126) <=> (~((~v184(constB126)) | (~v159(constB126)))))),
% 8.28/6.39 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32175,plain,
% 8.28/6.40 (v187(constB126) <=> (~((~v184(constB126)) | (~v159(constB126))))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32174, 108])).
% 8.28/6.40 tff(32176,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32177,plain,
% 8.28/6.40 (v184(constB126) <=> (~((~v39(constB126)) | (~v9(constB126))))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32176, 120])).
% 8.28/6.40 tff(32178,plain,
% 8.28/6.40 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB126)) <=> v1(constB126))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32179,plain,
% 8.28/6.40 ((~v39(constB126)) <=> v1(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32178, 129])).
% 8.28/6.40 tff(32180,plain,
% 8.28/6.40 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126)) | (~v1(constB126))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32181,plain,
% 8.28/6.40 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32180, 16828])).
% 8.28/6.40 tff(32182,plain,
% 8.28/6.40 (~v39(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32181, 32179])).
% 8.28/6.40 tff(32183,plain,
% 8.28/6.40 (((~v39(constB126)) | (~v9(constB126))) | v39(constB126)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32184,plain,
% 8.28/6.40 ((~v39(constB126)) | (~v9(constB126))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32183, 32182])).
% 8.28/6.40 tff(32185,plain,
% 8.28/6.40 ((~(v184(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v184(constB126)) | (~((~v39(constB126)) | (~v9(constB126))))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32186,plain,
% 8.28/6.40 ((~(v184(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v184(constB126))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32185, 32184])).
% 8.28/6.40 tff(32187,plain,
% 8.28/6.40 (~v184(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32186, 32177])).
% 8.28/6.40 tff(32188,plain,
% 8.28/6.40 (((~v184(constB126)) | (~v159(constB126))) | v184(constB126)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32189,plain,
% 8.28/6.40 ((~v184(constB126)) | (~v159(constB126))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32188, 32187])).
% 8.28/6.40 tff(32190,plain,
% 8.28/6.40 ((~(v187(constB126) <=> (~((~v184(constB126)) | (~v159(constB126)))))) | (~v187(constB126)) | (~((~v184(constB126)) | (~v159(constB126))))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32191,plain,
% 8.28/6.40 ((~(v187(constB126) <=> (~((~v184(constB126)) | (~v159(constB126)))))) | (~v187(constB126))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32190, 32189])).
% 8.28/6.40 tff(32192,plain,
% 8.28/6.40 (~v187(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32191, 32175])).
% 8.28/6.40 tff(32193,plain,
% 8.28/6.40 (((~v186(constB126)) | (~v187(constB126))) | v187(constB126)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32194,plain,
% 8.28/6.40 ((~v186(constB126)) | (~v187(constB126))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32193, 32192])).
% 8.28/6.40 tff(32195,plain,
% 8.28/6.40 ((~(v185(constB126) <=> (~((~v186(constB126)) | (~v187(constB126)))))) | (~v185(constB126)) | (~((~v186(constB126)) | (~v187(constB126))))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32196,plain,
% 8.28/6.40 (~v185(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32195, 32194, 32173])).
% 8.28/6.40 tff(32197,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB126) <=> (~((~v157(constB126)) | (~v182(constB126)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB126) <=> (~((~v157(constB126)) | (~v182(constB126))))))),
% 8.28/6.40 inference(rewrite,[status(thm)],[])).
% 8.28/6.40 tff(32198,plain,
% 8.28/6.40 ((v181(constB126) <=> (~((~v182(constB126)) | (~v157(constB126))))) <=> (v181(constB126) <=> (~((~v157(constB126)) | (~v182(constB126)))))),
% 8.28/6.40 inference(rewrite,[status(thm)],[])).
% 8.28/6.40 tff(32199,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB126) <=> (~((~v182(constB126)) | (~v157(constB126)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB126) <=> (~((~v157(constB126)) | (~v182(constB126))))))),
% 8.28/6.40 inference(monotonicity,[status(thm)],[32198])).
% 8.28/6.40 tff(32200,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB126) <=> (~((~v182(constB126)) | (~v157(constB126)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB126) <=> (~((~v157(constB126)) | (~v182(constB126))))))),
% 8.28/6.40 inference(transitivity,[status(thm)],[32199, 32197])).
% 8.28/6.40 tff(32201,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB126) <=> (~((~v182(constB126)) | (~v157(constB126)))))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32202,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB126) <=> (~((~v157(constB126)) | (~v182(constB126)))))),
% 8.28/6.40 inference(modus_ponens,[status(thm)],[32201, 32200])).
% 8.28/6.40 tff(32203,plain,
% 8.28/6.40 (v181(constB126) <=> (~((~v157(constB126)) | (~v182(constB126))))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32202, 161])).
% 8.28/6.40 tff(32204,plain,
% 8.28/6.40 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB126) <=> v180(constB126))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32205,plain,
% 8.28/6.40 (v157(constB126) <=> v180(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32204, 13])).
% 8.28/6.40 tff(32206,plain,
% 8.28/6.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB125, constB126)) | (v180(constB126) <=> v178(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB125, constB126)) | (v180(constB126) <=> v178(constB125)))),
% 8.28/6.40 inference(rewrite,[status(thm)],[])).
% 8.28/6.40 tff(32207,plain,
% 8.28/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB125, constB126)) | (v180(constB126) <=> v178(constB125)))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32208,plain,
% 8.28/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB125, constB126)) | (v180(constB126) <=> v178(constB125))),
% 8.28/6.40 inference(modus_ponens,[status(thm)],[32207, 32206])).
% 8.28/6.40 tff(32209,plain,
% 8.28/6.40 (v180(constB126) <=> v178(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32208, 14347, 70])).
% 8.28/6.40 tff(32210,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB125) <=> (v181(constB125) | v185(constB125)))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32211,plain,
% 8.28/6.40 (v178(constB125) <=> (v181(constB125) | v185(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32210, 84])).
% 8.28/6.40 tff(32212,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB125) <=> (~((~v157(constB125)) | (~v182(constB125)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB125) <=> (~((~v157(constB125)) | (~v182(constB125))))))),
% 8.28/6.40 inference(rewrite,[status(thm)],[])).
% 8.28/6.40 tff(32213,plain,
% 8.28/6.40 ((v181(constB125) <=> (~((~v182(constB125)) | (~v157(constB125))))) <=> (v181(constB125) <=> (~((~v157(constB125)) | (~v182(constB125)))))),
% 8.28/6.40 inference(rewrite,[status(thm)],[])).
% 8.28/6.40 tff(32214,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB125) <=> (~((~v182(constB125)) | (~v157(constB125)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB125) <=> (~((~v157(constB125)) | (~v182(constB125))))))),
% 8.28/6.40 inference(monotonicity,[status(thm)],[32213])).
% 8.28/6.40 tff(32215,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB125) <=> (~((~v182(constB125)) | (~v157(constB125)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB125) <=> (~((~v157(constB125)) | (~v182(constB125))))))),
% 8.28/6.40 inference(transitivity,[status(thm)],[32214, 32212])).
% 8.28/6.40 tff(32216,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB125) <=> (~((~v182(constB125)) | (~v157(constB125)))))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32217,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB125) <=> (~((~v157(constB125)) | (~v182(constB125)))))),
% 8.28/6.40 inference(modus_ponens,[status(thm)],[32216, 32215])).
% 8.28/6.40 tff(32218,plain,
% 8.28/6.40 (v181(constB125) <=> (~((~v157(constB125)) | (~v182(constB125))))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32217, 161])).
% 8.28/6.40 tff(32219,plain,
% 8.28/6.40 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB125)) <=> v183(constB125))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32220,plain,
% 8.28/6.40 ((~v182(constB125)) <=> v183(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32219, 193])).
% 8.28/6.40 tff(32221,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB125) <=> (v184(constB125) | v26(constB125)))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32222,plain,
% 8.28/6.40 (v183(constB125) <=> (v184(constB125) | v26(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32221, 202])).
% 8.28/6.40 tff(32223,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32224,plain,
% 8.28/6.40 (v184(constB125) <=> (~((~v39(constB125)) | (~v9(constB125))))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32223, 120])).
% 8.28/6.40 tff(32225,plain,
% 8.28/6.40 (((~![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)))),
% 8.28/6.40 inference(rewrite,[status(thm)],[])).
% 8.28/6.40 tff(32226,plain,
% 8.28/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32227,plain,
% 8.28/6.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125))),
% 8.28/6.40 inference(modus_ponens,[status(thm)],[32226, 32225])).
% 8.28/6.40 tff(32228,plain,
% 8.28/6.40 (v13(constB126) <=> v9(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32227, 14347, 216])).
% 8.28/6.40 tff(32229,plain,
% 8.28/6.40 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB126) <=> v13(constB126))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32230,plain,
% 8.28/6.40 (v6(constB126) <=> v13(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32229, 230])).
% 8.28/6.40 tff(32231,plain,
% 8.28/6.40 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB126)) <=> v6(constB126))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32232,plain,
% 8.28/6.40 ((~v21(constB126)) <=> v6(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32231, 239])).
% 8.28/6.40 tff(32233,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB126) <=> (v20(constB126) | v21(constB126)))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32234,plain,
% 8.28/6.40 (v19(constB126) <=> (v20(constB126) | v21(constB126))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32233, 248])).
% 8.28/6.40 tff(32235,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32236,plain,
% 8.28/6.40 (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126))))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32235, 260])).
% 8.28/6.40 tff(32237,plain,
% 8.28/6.40 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB126)) <=> v18(constB126))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32238,plain,
% 8.28/6.40 ((~v4(constB126)) <=> v18(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32237, 269])).
% 8.28/6.40 tff(32239,plain,
% 8.28/6.40 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB126)),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32240,plain,
% 8.28/6.40 (v4(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32239, 278])).
% 8.28/6.40 tff(32241,plain,
% 8.28/6.40 ((~((~v4(constB126)) <=> v18(constB126))) | (~v4(constB126)) | (~v18(constB126))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32242,plain,
% 8.28/6.40 (~v18(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32241, 32240, 32238])).
% 8.28/6.40 tff(32243,plain,
% 8.28/6.40 ((~(v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))) | v18(constB126) | ((~v19(constB126)) | (~v22(constB126)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32244,plain,
% 8.28/6.40 ((~v19(constB126)) | (~v22(constB126))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32243, 32242, 32236])).
% 8.28/6.40 tff(32245,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB126) <=> (v1(constB126) | v6(constB126)))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32246,plain,
% 8.28/6.40 (v22(constB126) <=> (v1(constB126) | v6(constB126))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32245, 291])).
% 8.28/6.40 tff(32247,plain,
% 8.28/6.40 ((v1(constB126) | v6(constB126)) | (~v1(constB126))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32248,plain,
% 8.28/6.40 (v1(constB126) | v6(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32247, 16828])).
% 8.28/6.40 tff(32249,plain,
% 8.28/6.40 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126) | (~(v1(constB126) | v6(constB126)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32250,plain,
% 8.28/6.40 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32249, 32248])).
% 8.28/6.40 tff(32251,plain,
% 8.28/6.40 (v22(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32250, 32246])).
% 8.28/6.40 tff(32252,plain,
% 8.28/6.40 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126)) | (~v22(constB126))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32253,plain,
% 8.28/6.40 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32252, 32251])).
% 8.28/6.40 tff(32254,plain,
% 8.28/6.40 (~v19(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32253, 32244])).
% 8.28/6.40 tff(32255,plain,
% 8.28/6.40 ((~(v19(constB126) <=> (v20(constB126) | v21(constB126)))) | v19(constB126) | (~(v20(constB126) | v21(constB126)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32256,plain,
% 8.28/6.40 (~(v20(constB126) | v21(constB126))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32255, 32254, 32234])).
% 8.28/6.40 tff(32257,plain,
% 8.28/6.40 ((v20(constB126) | v21(constB126)) | (~v21(constB126))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32258,plain,
% 8.28/6.40 (~v21(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32257, 32256])).
% 8.28/6.40 tff(32259,plain,
% 8.28/6.40 ((~((~v21(constB126)) <=> v6(constB126))) | v21(constB126) | v6(constB126)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32260,plain,
% 8.28/6.40 (v6(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32259, 32258, 32232])).
% 8.28/6.40 tff(32261,plain,
% 8.28/6.40 ((~(v6(constB126) <=> v13(constB126))) | (~v6(constB126)) | v13(constB126)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32262,plain,
% 8.28/6.40 (v13(constB126)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32261, 32260, 32230])).
% 8.28/6.40 tff(32263,plain,
% 8.28/6.40 ((~(v13(constB126) <=> v9(constB125))) | (~v13(constB126)) | v9(constB125)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32264,plain,
% 8.28/6.40 (v9(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32263, 32262, 32228])).
% 8.28/6.40 tff(32265,plain,
% 8.28/6.40 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB125)) <=> v1(constB125))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32266,plain,
% 8.28/6.40 ((~v39(constB125)) <=> v1(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32265, 129])).
% 8.28/6.40 tff(32267,plain,
% 8.28/6.40 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125) | v1(constB125)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32268,plain,
% 8.28/6.40 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32267, 14391])).
% 8.28/6.40 tff(32269,plain,
% 8.28/6.40 (v39(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32268, 32266])).
% 8.28/6.40 tff(32270,plain,
% 8.28/6.40 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v39(constB125)) | (~v9(constB125))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32271,plain,
% 8.28/6.40 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v9(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32270, 32269])).
% 8.28/6.40 tff(32272,plain,
% 8.28/6.40 (~((~v39(constB125)) | (~v9(constB125)))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32271, 32264])).
% 8.28/6.40 tff(32273,plain,
% 8.28/6.40 ((~(v184(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))) | v184(constB125) | ((~v39(constB125)) | (~v9(constB125)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32274,plain,
% 8.28/6.40 (v184(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32273, 32272, 32224])).
% 8.28/6.40 tff(32275,plain,
% 8.28/6.40 ((v184(constB125) | v26(constB125)) | (~v184(constB125))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32276,plain,
% 8.28/6.40 (v184(constB125) | v26(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32275, 32274])).
% 8.28/6.40 tff(32277,plain,
% 8.28/6.40 ((~(v183(constB125) <=> (v184(constB125) | v26(constB125)))) | v183(constB125) | (~(v184(constB125) | v26(constB125)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32278,plain,
% 8.28/6.40 (v183(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32277, 32276, 32222])).
% 8.28/6.40 tff(32279,plain,
% 8.28/6.40 ((~((~v182(constB125)) <=> v183(constB125))) | (~v182(constB125)) | (~v183(constB125))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32280,plain,
% 8.28/6.40 (~v182(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32279, 32278, 32220])).
% 8.28/6.40 tff(32281,plain,
% 8.28/6.40 (((~v157(constB125)) | (~v182(constB125))) | v182(constB125)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32282,plain,
% 8.28/6.40 ((~v157(constB125)) | (~v182(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32281, 32280])).
% 8.28/6.40 tff(32283,plain,
% 8.28/6.40 ((~(v181(constB125) <=> (~((~v157(constB125)) | (~v182(constB125)))))) | (~v181(constB125)) | (~((~v157(constB125)) | (~v182(constB125))))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32284,plain,
% 8.28/6.40 (~v181(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32283, 32282, 32218])).
% 8.28/6.40 tff(32285,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB125) <=> (~((~v186(constB125)) | (~v187(constB125)))))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32286,plain,
% 8.28/6.40 (v185(constB125) <=> (~((~v186(constB125)) | (~v187(constB125))))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32285, 96])).
% 8.28/6.40 tff(32287,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB125) <=> (~((~v184(constB125)) | (~v159(constB125)))))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32288,plain,
% 8.28/6.40 (v187(constB125) <=> (~((~v184(constB125)) | (~v159(constB125))))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32287, 108])).
% 8.28/6.40 tff(32289,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB125) <=> v161(constB125))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32290,plain,
% 8.28/6.40 (v159(constB125) <=> v161(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32289, 345])).
% 8.28/6.40 tff(32291,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB125) <=> (v145(constB125) | v165(constB125)))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32292,plain,
% 8.28/6.40 (v164(constB125) <=> (v145(constB125) | v165(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32291, 357])).
% 8.28/6.40 tff(32293,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB125) <=> (v142(constB125) | v166(constB125)))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32294,plain,
% 8.28/6.40 (v165(constB125) <=> (v142(constB125) | v166(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32293, 369])).
% 8.28/6.40 tff(32295,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB125) <=> (v143(constB125) | v144(constB125)))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32296,plain,
% 8.28/6.40 (v142(constB125) <=> (v143(constB125) | v144(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32295, 21792])).
% 8.28/6.40 tff(32297,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0)))))),
% 8.28/6.40 inference(rewrite,[status(thm)],[])).
% 8.28/6.40 tff(32298,plain,
% 8.28/6.40 ((v143(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1))))) <=> (v143(constB125) <=> (~((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0))))),
% 8.28/6.40 inference(rewrite,[status(thm)],[])).
% 8.28/6.40 tff(32299,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0)))))),
% 8.28/6.40 inference(monotonicity,[status(thm)],[32298])).
% 8.28/6.40 tff(32300,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0)))))),
% 8.28/6.40 inference(transitivity,[status(thm)],[32299, 32297])).
% 8.28/6.40 tff(32301,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex1)))))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32302,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB125) <=> (~((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0))))),
% 8.28/6.40 inference(modus_ponens,[status(thm)],[32301, 32300])).
% 8.28/6.40 tff(32303,plain,
% 8.28/6.40 (v143(constB125) <=> (~((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0)))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32302, 23745])).
% 8.28/6.40 tff(32304,plain,
% 8.28/6.40 ((~![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))))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32305,plain,
% 8.28/6.40 (~(((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)) | ((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)) | ((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0)))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32304, 416])).
% 8.28/6.40 tff(32306,plain,
% 8.28/6.40 ((((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)) | ((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)) | ((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0))) | (~((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32307,plain,
% 8.28/6.40 (~((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32306, 32305])).
% 8.28/6.40 tff(32308,plain,
% 8.28/6.40 (((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)) | (~v88(constB125, bitIndex2)) | v90(constB125, bitIndex2)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32309,plain,
% 8.28/6.40 (~v88(constB125, bitIndex2)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32308, 16747, 32307])).
% 8.28/6.40 tff(32310,plain,
% 8.28/6.40 ((((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)) | ((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)) | ((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0))) | (~((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32311,plain,
% 8.28/6.40 (~((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32310, 32305])).
% 8.28/6.40 tff(32312,plain,
% 8.28/6.40 (((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0)) | (~v88(constB125, bitIndex0)) | v90(constB125, bitIndex0)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32313,plain,
% 8.28/6.40 (~v88(constB125, bitIndex0)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32312, 16765, 32311])).
% 8.28/6.40 tff(32314,plain,
% 8.28/6.40 ((((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)) | ((~v88(constB125, bitIndex2)) <=> v90(constB125, bitIndex2)) | ((~v88(constB125, bitIndex0)) <=> v90(constB125, bitIndex0))) | (~((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32315,plain,
% 8.28/6.40 (~((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32314, 32305])).
% 8.28/6.40 tff(32316,plain,
% 8.28/6.40 (((~v88(constB125, bitIndex1)) <=> v90(constB125, bitIndex1)) | v88(constB125, bitIndex1) | (~v90(constB125, bitIndex1))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32317,plain,
% 8.28/6.40 (v88(constB125, bitIndex1)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32316, 16783, 32315])).
% 8.28/6.40 tff(32318,plain,
% 8.28/6.40 ((~((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0))) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32319,plain,
% 8.28/6.40 (~((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32318, 32317, 32313, 32309])).
% 8.28/6.40 tff(32320,plain,
% 8.28/6.40 ((~(v143(constB125) <=> (~((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0))))) | v143(constB125) | ((~v88(constB125, bitIndex1)) | v88(constB125, bitIndex2) | v88(constB125, bitIndex0))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32321,plain,
% 8.28/6.40 (v143(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32320, 32319, 32303])).
% 8.28/6.40 tff(32322,plain,
% 8.28/6.40 ((v143(constB125) | v144(constB125)) | (~v143(constB125))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32323,plain,
% 8.28/6.40 (v143(constB125) | v144(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32322, 32321])).
% 8.28/6.40 tff(32324,plain,
% 8.28/6.40 ((~(v142(constB125) <=> (v143(constB125) | v144(constB125)))) | v142(constB125) | (~(v143(constB125) | v144(constB125)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32325,plain,
% 8.28/6.40 (v142(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32324, 32323, 32296])).
% 8.28/6.40 tff(32326,plain,
% 8.28/6.40 ((v142(constB125) | v166(constB125)) | (~v142(constB125))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32327,plain,
% 8.28/6.40 (v142(constB125) | v166(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32326, 32325])).
% 8.28/6.40 tff(32328,plain,
% 8.28/6.40 ((~(v165(constB125) <=> (v142(constB125) | v166(constB125)))) | v165(constB125) | (~(v142(constB125) | v166(constB125)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32329,plain,
% 8.28/6.40 ((~(v165(constB125) <=> (v142(constB125) | v166(constB125)))) | v165(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32328, 32327])).
% 8.28/6.40 tff(32330,plain,
% 8.28/6.40 (v165(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32329, 32294])).
% 8.28/6.40 tff(32331,plain,
% 8.28/6.40 ((v145(constB125) | v165(constB125)) | (~v165(constB125))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32332,plain,
% 8.28/6.40 (v145(constB125) | v165(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32331, 32330])).
% 8.28/6.40 tff(32333,plain,
% 8.28/6.40 ((~(v164(constB125) <=> (v145(constB125) | v165(constB125)))) | v164(constB125) | (~(v145(constB125) | v165(constB125)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32334,plain,
% 8.28/6.40 (v164(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32333, 32332, 32292])).
% 8.28/6.40 tff(32335,plain,
% 8.28/6.40 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB125)) | (v161(constB125) <=> v168(constB125)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB125)) | (v161(constB125) <=> v168(constB125)))),
% 8.28/6.40 inference(rewrite,[status(thm)],[])).
% 8.28/6.40 tff(32336,plain,
% 8.28/6.40 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB125)) | (v161(constB125) <=> v168(constB125)))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32337,plain,
% 8.28/6.40 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB125)) | (v161(constB125) <=> v168(constB125))),
% 8.28/6.40 inference(modus_ponens,[status(thm)],[32336, 32335])).
% 8.28/6.40 tff(32338,plain,
% 8.28/6.40 ((~v164(constB125)) | (v161(constB125) <=> v168(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32337, 12128])).
% 8.28/6.40 tff(32339,plain,
% 8.28/6.40 (v161(constB125) <=> v168(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32338, 32334])).
% 8.28/6.40 tff(32340,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2))))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32341,plain,
% 8.28/6.40 (v139(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2)))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32340, 12146])).
% 8.28/6.40 tff(32342,plain,
% 8.28/6.40 ((v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32343,plain,
% 8.28/6.40 (v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32342, 32317])).
% 8.28/6.40 tff(32344,plain,
% 8.28/6.40 ((~(v139(constB125) <=> (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2))))) | (~v139(constB125)) | (~(v88(constB125, bitIndex0) | v88(constB125, bitIndex1) | v88(constB125, bitIndex2)))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32345,plain,
% 8.28/6.40 (~v139(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32344, 32343, 32341])).
% 8.28/6.40 tff(32346,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB125) <=> (~(v88(constB125, bitIndex1) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex0)))))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32347,plain,
% 8.28/6.40 (v140(constB125) <=> (~(v88(constB125, bitIndex1) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex0))))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32346, 12165])).
% 8.28/6.40 tff(32348,plain,
% 8.28/6.40 ((v88(constB125, bitIndex1) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex0))) | (~v88(constB125, bitIndex1))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32349,plain,
% 8.28/6.40 (v88(constB125, bitIndex1) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex0))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32348, 32317])).
% 8.28/6.40 tff(32350,plain,
% 8.28/6.40 ((~(v140(constB125) <=> (~(v88(constB125, bitIndex1) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex0)))))) | (~v140(constB125)) | (~(v88(constB125, bitIndex1) | v88(constB125, bitIndex2) | (~v88(constB125, bitIndex0))))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32351,plain,
% 8.28/6.40 (~v140(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32350, 32349, 32347])).
% 8.28/6.40 tff(32352,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB125) | v140(constB125) | (~v168(constB125)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB125) | v140(constB125) | (~v168(constB125)))),
% 8.28/6.40 inference(rewrite,[status(thm)],[])).
% 8.28/6.40 tff(32353,plain,
% 8.28/6.40 ((v140(constB125) | v139(constB125) | (~v168(constB125))) <=> (v139(constB125) | v140(constB125) | (~v168(constB125)))),
% 8.28/6.40 inference(rewrite,[status(thm)],[])).
% 8.28/6.40 tff(32354,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB125) | v139(constB125) | (~v168(constB125)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB125) | v140(constB125) | (~v168(constB125))))),
% 8.28/6.40 inference(monotonicity,[status(thm)],[32353])).
% 8.28/6.40 tff(32355,plain,
% 8.28/6.40 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB125) | v139(constB125) | (~v168(constB125)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB125) | v140(constB125) | (~v168(constB125)))),
% 8.28/6.40 inference(transitivity,[status(thm)],[32354, 32352])).
% 8.28/6.40 tff(32356,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB125) | v139(constB125) | (~v168(constB125)))),
% 8.28/6.40 inference(quant_inst,[status(thm)],[])).
% 8.28/6.40 tff(32357,plain,
% 8.28/6.40 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB125) | v140(constB125) | (~v168(constB125))),
% 8.28/6.40 inference(modus_ponens,[status(thm)],[32356, 32355])).
% 8.28/6.40 tff(32358,plain,
% 8.28/6.40 (v139(constB125) | v140(constB125) | (~v168(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32357, 12184])).
% 8.28/6.40 tff(32359,plain,
% 8.28/6.40 (~v168(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32358, 32351, 32345])).
% 8.28/6.40 tff(32360,plain,
% 8.28/6.40 ((~(v161(constB125) <=> v168(constB125))) | (~v161(constB125)) | v168(constB125)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32361,plain,
% 8.28/6.40 ((~(v161(constB125) <=> v168(constB125))) | (~v161(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32360, 32359])).
% 8.28/6.40 tff(32362,plain,
% 8.28/6.40 (~v161(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32361, 32339])).
% 8.28/6.40 tff(32363,plain,
% 8.28/6.40 ((~(v159(constB125) <=> v161(constB125))) | (~v159(constB125)) | v161(constB125)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32364,plain,
% 8.28/6.40 ((~(v159(constB125) <=> v161(constB125))) | (~v159(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32363, 32362])).
% 8.28/6.40 tff(32365,plain,
% 8.28/6.40 (~v159(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32364, 32290])).
% 8.28/6.40 tff(32366,plain,
% 8.28/6.40 (((~v184(constB125)) | (~v159(constB125))) | v159(constB125)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32367,plain,
% 8.28/6.40 ((~v184(constB125)) | (~v159(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32366, 32365])).
% 8.28/6.40 tff(32368,plain,
% 8.28/6.40 ((~(v187(constB125) <=> (~((~v184(constB125)) | (~v159(constB125)))))) | (~v187(constB125)) | (~((~v184(constB125)) | (~v159(constB125))))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32369,plain,
% 8.28/6.40 (~v187(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32368, 32367, 32288])).
% 8.28/6.40 tff(32370,plain,
% 8.28/6.40 (((~v186(constB125)) | (~v187(constB125))) | v187(constB125)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32371,plain,
% 8.28/6.40 ((~v186(constB125)) | (~v187(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32370, 32369])).
% 8.28/6.40 tff(32372,plain,
% 8.28/6.40 ((~(v185(constB125) <=> (~((~v186(constB125)) | (~v187(constB125)))))) | (~v185(constB125)) | (~((~v186(constB125)) | (~v187(constB125))))),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32373,plain,
% 8.28/6.40 (~v185(constB125)),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32372, 32371, 32286])).
% 8.28/6.40 tff(32374,plain,
% 8.28/6.40 ((~(v181(constB125) | v185(constB125))) | v181(constB125) | v185(constB125)),
% 8.28/6.40 inference(tautology,[status(thm)],[])).
% 8.28/6.40 tff(32375,plain,
% 8.28/6.40 (~(v181(constB125) | v185(constB125))),
% 8.28/6.40 inference(unit_resolution,[status(thm)],[32374, 32373, 32284])).
% 8.28/6.40 tff(32376,plain,
% 8.28/6.40 ((~(v178(constB125) <=> (v181(constB125) | v185(constB125)))) | (~v178(constB125)) | (v181(constB125) | v185(constB125))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32377,plain,
% 8.28/6.41 (~v178(constB125)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32376, 32375, 32211])).
% 8.28/6.41 tff(32378,plain,
% 8.28/6.41 ((~(v180(constB126) <=> v178(constB125))) | (~v180(constB126)) | v178(constB125)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32379,plain,
% 8.28/6.41 (~v180(constB126)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32378, 32377, 32209])).
% 8.28/6.41 tff(32380,plain,
% 8.28/6.41 ((~(v157(constB126) <=> v180(constB126))) | (~v157(constB126)) | v180(constB126)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32381,plain,
% 8.28/6.41 (~v157(constB126)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32380, 32379, 32205])).
% 8.28/6.41 tff(32382,plain,
% 8.28/6.41 (((~v157(constB126)) | (~v182(constB126))) | v157(constB126)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32383,plain,
% 8.28/6.41 ((~v157(constB126)) | (~v182(constB126))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32382, 32381])).
% 8.28/6.41 tff(32384,plain,
% 8.28/6.41 ((~(v181(constB126) <=> (~((~v157(constB126)) | (~v182(constB126)))))) | (~v181(constB126)) | (~((~v157(constB126)) | (~v182(constB126))))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32385,plain,
% 8.28/6.41 (~v181(constB126)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32384, 32383, 32203])).
% 8.28/6.41 tff(32386,plain,
% 8.28/6.41 ((~(v181(constB126) | v185(constB126))) | v181(constB126) | v185(constB126)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32387,plain,
% 8.28/6.41 (~(v181(constB126) | v185(constB126))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32386, 32385, 32196])).
% 8.28/6.41 tff(32388,plain,
% 8.28/6.41 ((~(v178(constB126) <=> (v181(constB126) | v185(constB126)))) | (~v178(constB126)) | (v181(constB126) | v185(constB126))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32389,plain,
% 8.28/6.41 (~v178(constB126)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32388, 32387, 32171])).
% 8.28/6.41 tff(32390,plain,
% 8.28/6.41 ((~(v180(constB127) <=> v178(constB126))) | (~v180(constB127)) | v178(constB126)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32391,plain,
% 8.28/6.41 (~v180(constB127)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32390, 32389, 32169])).
% 8.28/6.41 tff(32392,plain,
% 8.28/6.41 ($false),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32391, 32165])).
% 8.28/6.41 tff(32393,plain,(~(constB127 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.28/6.41 tff(32394,assumption,(constB191 = VarCurr!0), introduced(assumption)).
% 8.28/6.41 tff(32395,plain,
% 8.28/6.41 (v180(constB191) <=> v180(VarCurr!0)),
% 8.28/6.41 inference(monotonicity,[status(thm)],[32394])).
% 8.28/6.41 tff(32396,plain,
% 8.28/6.41 (v180(VarCurr!0) <=> v180(constB191)),
% 8.28/6.41 inference(symmetry,[status(thm)],[32395])).
% 8.28/6.41 tff(32397,plain,
% 8.28/6.41 (v180(constB191)),
% 8.28/6.41 inference(modus_ponens,[status(thm)],[59, 32396])).
% 8.28/6.41 tff(32398,plain,
% 8.28/6.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB190, constB191)) | (v180(constB191) <=> v178(constB190)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB190, constB191)) | (v180(constB191) <=> v178(constB190)))),
% 8.28/6.41 inference(rewrite,[status(thm)],[])).
% 8.28/6.41 tff(32399,plain,
% 8.28/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB190, constB191)) | (v180(constB191) <=> v178(constB190)))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32400,plain,
% 8.28/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB190, constB191)) | (v180(constB191) <=> v178(constB190))),
% 8.28/6.41 inference(modus_ponens,[status(thm)],[32399, 32398])).
% 8.28/6.41 tff(32401,plain,
% 8.28/6.41 (v180(constB191) <=> v178(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32400, 21969, 70])).
% 8.28/6.41 tff(32402,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB190) <=> (v181(constB190) | v185(constB190)))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32403,plain,
% 8.28/6.41 (v178(constB190) <=> (v181(constB190) | v185(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32402, 84])).
% 8.28/6.41 tff(32404,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB190) <=> (~((~v186(constB190)) | (~v187(constB190)))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32405,plain,
% 8.28/6.41 (v185(constB190) <=> (~((~v186(constB190)) | (~v187(constB190))))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32404, 96])).
% 8.28/6.41 tff(32406,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB190) <=> (~((~v184(constB190)) | (~v159(constB190)))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32407,plain,
% 8.28/6.41 (v187(constB190) <=> (~((~v184(constB190)) | (~v159(constB190))))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32406, 108])).
% 8.28/6.41 tff(32408,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32409,plain,
% 8.28/6.41 (v184(constB190) <=> (~((~v39(constB190)) | (~v9(constB190))))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32408, 120])).
% 8.28/6.41 tff(32410,plain,
% 8.28/6.41 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB190)) <=> v1(constB190))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32411,plain,
% 8.28/6.41 ((~v39(constB190)) <=> v1(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32410, 129])).
% 8.28/6.41 tff(32412,plain,
% 8.28/6.41 ((~((~v39(constB190)) <=> v1(constB190))) | (~v39(constB190)) | (~v1(constB190))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32413,plain,
% 8.28/6.41 ((~((~v39(constB190)) <=> v1(constB190))) | (~v39(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32412, 22277])).
% 8.28/6.41 tff(32414,plain,
% 8.28/6.41 (~v39(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32413, 32411])).
% 8.28/6.41 tff(32415,plain,
% 8.28/6.41 (((~v39(constB190)) | (~v9(constB190))) | v39(constB190)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32416,plain,
% 8.28/6.41 ((~v39(constB190)) | (~v9(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32415, 32414])).
% 8.28/6.41 tff(32417,plain,
% 8.28/6.41 ((~(v184(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))) | (~v184(constB190)) | (~((~v39(constB190)) | (~v9(constB190))))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32418,plain,
% 8.28/6.41 ((~(v184(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))) | (~v184(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32417, 32416])).
% 8.28/6.41 tff(32419,plain,
% 8.28/6.41 (~v184(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32418, 32409])).
% 8.28/6.41 tff(32420,plain,
% 8.28/6.41 (((~v184(constB190)) | (~v159(constB190))) | v184(constB190)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32421,plain,
% 8.28/6.41 ((~v184(constB190)) | (~v159(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32420, 32419])).
% 8.28/6.41 tff(32422,plain,
% 8.28/6.41 ((~(v187(constB190) <=> (~((~v184(constB190)) | (~v159(constB190)))))) | (~v187(constB190)) | (~((~v184(constB190)) | (~v159(constB190))))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32423,plain,
% 8.28/6.41 ((~(v187(constB190) <=> (~((~v184(constB190)) | (~v159(constB190)))))) | (~v187(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32422, 32421])).
% 8.28/6.41 tff(32424,plain,
% 8.28/6.41 (~v187(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32423, 32407])).
% 8.28/6.41 tff(32425,plain,
% 8.28/6.41 (((~v186(constB190)) | (~v187(constB190))) | v187(constB190)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32426,plain,
% 8.28/6.41 ((~v186(constB190)) | (~v187(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32425, 32424])).
% 8.28/6.41 tff(32427,plain,
% 8.28/6.41 ((~(v185(constB190) <=> (~((~v186(constB190)) | (~v187(constB190)))))) | (~v185(constB190)) | (~((~v186(constB190)) | (~v187(constB190))))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32428,plain,
% 8.28/6.41 (~v185(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32427, 32426, 32405])).
% 8.28/6.41 tff(32429,plain,
% 8.28/6.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB190) <=> (~((~v157(constB190)) | (~v182(constB190)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB190) <=> (~((~v157(constB190)) | (~v182(constB190))))))),
% 8.28/6.41 inference(rewrite,[status(thm)],[])).
% 8.28/6.41 tff(32430,plain,
% 8.28/6.41 ((v181(constB190) <=> (~((~v182(constB190)) | (~v157(constB190))))) <=> (v181(constB190) <=> (~((~v157(constB190)) | (~v182(constB190)))))),
% 8.28/6.41 inference(rewrite,[status(thm)],[])).
% 8.28/6.41 tff(32431,plain,
% 8.28/6.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB190) <=> (~((~v182(constB190)) | (~v157(constB190)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB190) <=> (~((~v157(constB190)) | (~v182(constB190))))))),
% 8.28/6.41 inference(monotonicity,[status(thm)],[32430])).
% 8.28/6.41 tff(32432,plain,
% 8.28/6.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB190) <=> (~((~v182(constB190)) | (~v157(constB190)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB190) <=> (~((~v157(constB190)) | (~v182(constB190))))))),
% 8.28/6.41 inference(transitivity,[status(thm)],[32431, 32429])).
% 8.28/6.41 tff(32433,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB190) <=> (~((~v182(constB190)) | (~v157(constB190)))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32434,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB190) <=> (~((~v157(constB190)) | (~v182(constB190)))))),
% 8.28/6.41 inference(modus_ponens,[status(thm)],[32433, 32432])).
% 8.28/6.41 tff(32435,plain,
% 8.28/6.41 (v181(constB190) <=> (~((~v157(constB190)) | (~v182(constB190))))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32434, 161])).
% 8.28/6.41 tff(32436,plain,
% 8.28/6.41 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB190) <=> v180(constB190))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32437,plain,
% 8.28/6.41 (v157(constB190) <=> v180(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32436, 13])).
% 8.28/6.41 tff(32438,plain,
% 8.28/6.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB189, constB190)) | (v180(constB190) <=> v178(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB189, constB190)) | (v180(constB190) <=> v178(constB189)))),
% 8.28/6.41 inference(rewrite,[status(thm)],[])).
% 8.28/6.41 tff(32439,plain,
% 8.28/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB189, constB190)) | (v180(constB190) <=> v178(constB189)))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32440,plain,
% 8.28/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB189, constB190)) | (v180(constB190) <=> v178(constB189))),
% 8.28/6.41 inference(modus_ponens,[status(thm)],[32439, 32438])).
% 8.28/6.41 tff(32441,plain,
% 8.28/6.41 (v180(constB190) <=> v178(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32440, 22005, 70])).
% 8.28/6.41 tff(32442,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB189) <=> (v181(constB189) | v185(constB189)))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32443,plain,
% 8.28/6.41 (v178(constB189) <=> (v181(constB189) | v185(constB189))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32442, 84])).
% 8.28/6.41 tff(32444,plain,
% 8.28/6.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB189) <=> (~((~v157(constB189)) | (~v182(constB189)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB189) <=> (~((~v157(constB189)) | (~v182(constB189))))))),
% 8.28/6.41 inference(rewrite,[status(thm)],[])).
% 8.28/6.41 tff(32445,plain,
% 8.28/6.41 ((v181(constB189) <=> (~((~v182(constB189)) | (~v157(constB189))))) <=> (v181(constB189) <=> (~((~v157(constB189)) | (~v182(constB189)))))),
% 8.28/6.41 inference(rewrite,[status(thm)],[])).
% 8.28/6.41 tff(32446,plain,
% 8.28/6.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB189) <=> (~((~v182(constB189)) | (~v157(constB189)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB189) <=> (~((~v157(constB189)) | (~v182(constB189))))))),
% 8.28/6.41 inference(monotonicity,[status(thm)],[32445])).
% 8.28/6.41 tff(32447,plain,
% 8.28/6.41 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB189) <=> (~((~v182(constB189)) | (~v157(constB189)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB189) <=> (~((~v157(constB189)) | (~v182(constB189))))))),
% 8.28/6.41 inference(transitivity,[status(thm)],[32446, 32444])).
% 8.28/6.41 tff(32448,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB189) <=> (~((~v182(constB189)) | (~v157(constB189)))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32449,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB189) <=> (~((~v157(constB189)) | (~v182(constB189)))))),
% 8.28/6.41 inference(modus_ponens,[status(thm)],[32448, 32447])).
% 8.28/6.41 tff(32450,plain,
% 8.28/6.41 (v181(constB189) <=> (~((~v157(constB189)) | (~v182(constB189))))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32449, 161])).
% 8.28/6.41 tff(32451,plain,
% 8.28/6.41 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB189)) <=> v183(constB189))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32452,plain,
% 8.28/6.41 ((~v182(constB189)) <=> v183(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32451, 193])).
% 8.28/6.41 tff(32453,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB189) <=> (v184(constB189) | v26(constB189)))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32454,plain,
% 8.28/6.41 (v183(constB189) <=> (v184(constB189) | v26(constB189))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32453, 202])).
% 8.28/6.41 tff(32455,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB189) <=> (~((~v39(constB189)) | (~v9(constB189)))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32456,plain,
% 8.28/6.41 (v184(constB189) <=> (~((~v39(constB189)) | (~v9(constB189))))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32455, 120])).
% 8.28/6.41 tff(32457,plain,
% 8.28/6.41 (((~![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)))),
% 8.28/6.41 inference(rewrite,[status(thm)],[])).
% 8.28/6.41 tff(32458,plain,
% 8.28/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32459,plain,
% 8.28/6.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189))),
% 8.28/6.41 inference(modus_ponens,[status(thm)],[32458, 32457])).
% 8.28/6.41 tff(32460,plain,
% 8.28/6.41 (v13(constB190) <=> v9(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32459, 22005, 216])).
% 8.28/6.41 tff(32461,plain,
% 8.28/6.41 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB190) <=> v13(constB190))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32462,plain,
% 8.28/6.41 (v6(constB190) <=> v13(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32461, 230])).
% 8.28/6.41 tff(32463,plain,
% 8.28/6.41 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB190)) <=> v6(constB190))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32464,plain,
% 8.28/6.41 ((~v21(constB190)) <=> v6(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32463, 239])).
% 8.28/6.41 tff(32465,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB190) <=> (v20(constB190) | v21(constB190)))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32466,plain,
% 8.28/6.41 (v19(constB190) <=> (v20(constB190) | v21(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32465, 248])).
% 8.28/6.41 tff(32467,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190)))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32468,plain,
% 8.28/6.41 (v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190))))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32467, 260])).
% 8.28/6.41 tff(32469,plain,
% 8.28/6.41 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB190)) <=> v18(constB190))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32470,plain,
% 8.28/6.41 ((~v4(constB190)) <=> v18(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32469, 269])).
% 8.28/6.41 tff(32471,plain,
% 8.28/6.41 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB190)),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32472,plain,
% 8.28/6.41 (v4(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32471, 278])).
% 8.28/6.41 tff(32473,plain,
% 8.28/6.41 ((~((~v4(constB190)) <=> v18(constB190))) | (~v4(constB190)) | (~v18(constB190))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32474,plain,
% 8.28/6.41 (~v18(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32473, 32472, 32470])).
% 8.28/6.41 tff(32475,plain,
% 8.28/6.41 ((~(v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190)))))) | v18(constB190) | ((~v19(constB190)) | (~v22(constB190)))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32476,plain,
% 8.28/6.41 ((~v19(constB190)) | (~v22(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32475, 32474, 32468])).
% 8.28/6.41 tff(32477,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB190) <=> (v1(constB190) | v6(constB190)))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32478,plain,
% 8.28/6.41 (v22(constB190) <=> (v1(constB190) | v6(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32477, 291])).
% 8.28/6.41 tff(32479,plain,
% 8.28/6.41 ((v1(constB190) | v6(constB190)) | (~v1(constB190))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32480,plain,
% 8.28/6.41 (v1(constB190) | v6(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32479, 22277])).
% 8.28/6.41 tff(32481,plain,
% 8.28/6.41 ((~(v22(constB190) <=> (v1(constB190) | v6(constB190)))) | v22(constB190) | (~(v1(constB190) | v6(constB190)))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32482,plain,
% 8.28/6.41 ((~(v22(constB190) <=> (v1(constB190) | v6(constB190)))) | v22(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32481, 32480])).
% 8.28/6.41 tff(32483,plain,
% 8.28/6.41 (v22(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32482, 32478])).
% 8.28/6.41 tff(32484,plain,
% 8.28/6.41 ((~((~v19(constB190)) | (~v22(constB190)))) | (~v19(constB190)) | (~v22(constB190))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32485,plain,
% 8.28/6.41 ((~((~v19(constB190)) | (~v22(constB190)))) | (~v19(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32484, 32483])).
% 8.28/6.41 tff(32486,plain,
% 8.28/6.41 (~v19(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32485, 32476])).
% 8.28/6.41 tff(32487,plain,
% 8.28/6.41 ((~(v19(constB190) <=> (v20(constB190) | v21(constB190)))) | v19(constB190) | (~(v20(constB190) | v21(constB190)))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32488,plain,
% 8.28/6.41 (~(v20(constB190) | v21(constB190))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32487, 32486, 32466])).
% 8.28/6.41 tff(32489,plain,
% 8.28/6.41 ((v20(constB190) | v21(constB190)) | (~v21(constB190))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32490,plain,
% 8.28/6.41 (~v21(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32489, 32488])).
% 8.28/6.41 tff(32491,plain,
% 8.28/6.41 ((~((~v21(constB190)) <=> v6(constB190))) | v21(constB190) | v6(constB190)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32492,plain,
% 8.28/6.41 (v6(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32491, 32490, 32464])).
% 8.28/6.41 tff(32493,plain,
% 8.28/6.41 ((~(v6(constB190) <=> v13(constB190))) | (~v6(constB190)) | v13(constB190)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32494,plain,
% 8.28/6.41 (v13(constB190)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32493, 32492, 32462])).
% 8.28/6.41 tff(32495,plain,
% 8.28/6.41 ((~(v13(constB190) <=> v9(constB189))) | (~v13(constB190)) | v9(constB189)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32496,plain,
% 8.28/6.41 (v9(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32495, 32494, 32460])).
% 8.28/6.41 tff(32497,plain,
% 8.28/6.41 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB189)) <=> v1(constB189))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32498,plain,
% 8.28/6.41 ((~v39(constB189)) <=> v1(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32497, 129])).
% 8.28/6.41 tff(32499,plain,
% 8.28/6.41 ((~((~v39(constB189)) <=> v1(constB189))) | v39(constB189) | v1(constB189)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32500,plain,
% 8.28/6.41 ((~((~v39(constB189)) <=> v1(constB189))) | v39(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32499, 22046])).
% 8.28/6.41 tff(32501,plain,
% 8.28/6.41 (v39(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32500, 32498])).
% 8.28/6.41 tff(32502,plain,
% 8.28/6.41 ((~((~v39(constB189)) | (~v9(constB189)))) | (~v39(constB189)) | (~v9(constB189))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32503,plain,
% 8.28/6.41 ((~((~v39(constB189)) | (~v9(constB189)))) | (~v9(constB189))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32502, 32501])).
% 8.28/6.41 tff(32504,plain,
% 8.28/6.41 (~((~v39(constB189)) | (~v9(constB189)))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32503, 32496])).
% 8.28/6.41 tff(32505,plain,
% 8.28/6.41 ((~(v184(constB189) <=> (~((~v39(constB189)) | (~v9(constB189)))))) | v184(constB189) | ((~v39(constB189)) | (~v9(constB189)))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32506,plain,
% 8.28/6.41 (v184(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32505, 32504, 32456])).
% 8.28/6.41 tff(32507,plain,
% 8.28/6.41 ((v184(constB189) | v26(constB189)) | (~v184(constB189))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32508,plain,
% 8.28/6.41 (v184(constB189) | v26(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32507, 32506])).
% 8.28/6.41 tff(32509,plain,
% 8.28/6.41 ((~(v183(constB189) <=> (v184(constB189) | v26(constB189)))) | v183(constB189) | (~(v184(constB189) | v26(constB189)))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32510,plain,
% 8.28/6.41 (v183(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32509, 32508, 32454])).
% 8.28/6.41 tff(32511,plain,
% 8.28/6.41 ((~((~v182(constB189)) <=> v183(constB189))) | (~v182(constB189)) | (~v183(constB189))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32512,plain,
% 8.28/6.41 (~v182(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32511, 32510, 32452])).
% 8.28/6.41 tff(32513,plain,
% 8.28/6.41 (((~v157(constB189)) | (~v182(constB189))) | v182(constB189)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32514,plain,
% 8.28/6.41 ((~v157(constB189)) | (~v182(constB189))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32513, 32512])).
% 8.28/6.41 tff(32515,plain,
% 8.28/6.41 ((~(v181(constB189) <=> (~((~v157(constB189)) | (~v182(constB189)))))) | (~v181(constB189)) | (~((~v157(constB189)) | (~v182(constB189))))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32516,plain,
% 8.28/6.41 (~v181(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32515, 32514, 32450])).
% 8.28/6.41 tff(32517,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB189) <=> (~((~v186(constB189)) | (~v187(constB189)))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32518,plain,
% 8.28/6.41 (v185(constB189) <=> (~((~v186(constB189)) | (~v187(constB189))))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32517, 96])).
% 8.28/6.41 tff(32519,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB189) <=> (~((~v184(constB189)) | (~v159(constB189)))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32520,plain,
% 8.28/6.41 (v187(constB189) <=> (~((~v184(constB189)) | (~v159(constB189))))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32519, 108])).
% 8.28/6.41 tff(32521,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB189) <=> v161(constB189))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32522,plain,
% 8.28/6.41 (v159(constB189) <=> v161(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32521, 345])).
% 8.28/6.41 tff(32523,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB189) <=> (v145(constB189) | v165(constB189)))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32524,plain,
% 8.28/6.41 (v164(constB189) <=> (v145(constB189) | v165(constB189))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32523, 357])).
% 8.28/6.41 tff(32525,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB189) <=> (v146(constB189) | v147(constB189)))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32526,plain,
% 8.28/6.41 (v145(constB189) <=> (v146(constB189) | v147(constB189))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32525, 24729])).
% 8.28/6.41 tff(32527,plain,
% 8.28/6.41 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0)))))),
% 8.28/6.41 inference(rewrite,[status(thm)],[])).
% 8.28/6.41 tff(32528,plain,
% 8.28/6.41 ((v146(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2))))) <=> (v146(constB189) <=> (~(v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0))))),
% 8.28/6.41 inference(rewrite,[status(thm)],[])).
% 8.28/6.41 tff(32529,plain,
% 8.28/6.41 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0)))))),
% 8.28/6.41 inference(monotonicity,[status(thm)],[32528])).
% 8.28/6.41 tff(32530,plain,
% 8.28/6.41 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0)))))),
% 8.28/6.41 inference(transitivity,[status(thm)],[32529, 32527])).
% 8.28/6.41 tff(32531,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32532,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB189) <=> (~(v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0))))),
% 8.28/6.41 inference(modus_ponens,[status(thm)],[32531, 32530])).
% 8.28/6.41 tff(32533,plain,
% 8.28/6.41 (v146(constB189) <=> (~(v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0)))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32532, 24744])).
% 8.28/6.41 tff(32534,plain,
% 8.28/6.41 ((~![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))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32535,plain,
% 8.28/6.41 (~(((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)) | ((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)) | ((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0)))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32534, 416])).
% 8.28/6.41 tff(32536,plain,
% 8.28/6.41 ((((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)) | ((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)) | ((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0))) | (~((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32537,plain,
% 8.28/6.41 (~((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32536, 32535])).
% 8.28/6.41 tff(32538,plain,
% 8.28/6.41 (((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)) | v88(constB189, bitIndex2) | (~v90(constB189, bitIndex2))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32539,plain,
% 8.28/6.41 (v88(constB189, bitIndex2)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32538, 22199, 32537])).
% 8.28/6.41 tff(32540,plain,
% 8.28/6.41 ((((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)) | ((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)) | ((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0))) | (~((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0)))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32541,plain,
% 8.28/6.41 (~((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32540, 32535])).
% 8.28/6.41 tff(32542,plain,
% 8.28/6.41 (((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0)) | (~v88(constB189, bitIndex0)) | v90(constB189, bitIndex0)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32543,plain,
% 8.28/6.41 (~v88(constB189, bitIndex0)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32542, 22217, 32541])).
% 8.28/6.41 tff(32544,plain,
% 8.28/6.41 ((((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)) | ((~v88(constB189, bitIndex2)) <=> v90(constB189, bitIndex2)) | ((~v88(constB189, bitIndex0)) <=> v90(constB189, bitIndex0))) | (~((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32545,plain,
% 8.28/6.41 (~((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32544, 32535])).
% 8.28/6.41 tff(32546,plain,
% 8.28/6.41 (((~v88(constB189, bitIndex1)) <=> v90(constB189, bitIndex1)) | (~v88(constB189, bitIndex1)) | v90(constB189, bitIndex1)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32547,plain,
% 8.28/6.41 (~v88(constB189, bitIndex1)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32546, 22235, 32545])).
% 8.28/6.41 tff(32548,plain,
% 8.28/6.41 ((~(v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0))) | v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0)),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32549,plain,
% 8.28/6.41 (~(v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32548, 32547, 32543, 32539])).
% 8.28/6.41 tff(32550,plain,
% 8.28/6.41 ((~(v146(constB189) <=> (~(v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0))))) | v146(constB189) | (v88(constB189, bitIndex1) | (~v88(constB189, bitIndex2)) | v88(constB189, bitIndex0))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32551,plain,
% 8.28/6.41 (v146(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32550, 32549, 32533])).
% 8.28/6.41 tff(32552,plain,
% 8.28/6.41 ((v146(constB189) | v147(constB189)) | (~v146(constB189))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32553,plain,
% 8.28/6.41 (v146(constB189) | v147(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32552, 32551])).
% 8.28/6.41 tff(32554,plain,
% 8.28/6.41 ((~(v145(constB189) <=> (v146(constB189) | v147(constB189)))) | v145(constB189) | (~(v146(constB189) | v147(constB189)))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32555,plain,
% 8.28/6.41 (v145(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32554, 32553, 32526])).
% 8.28/6.41 tff(32556,plain,
% 8.28/6.41 ((v145(constB189) | v165(constB189)) | (~v145(constB189))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32557,plain,
% 8.28/6.41 (v145(constB189) | v165(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32556, 32555])).
% 8.28/6.41 tff(32558,plain,
% 8.28/6.41 ((~(v164(constB189) <=> (v145(constB189) | v165(constB189)))) | v164(constB189) | (~(v145(constB189) | v165(constB189)))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32559,plain,
% 8.28/6.41 ((~(v164(constB189) <=> (v145(constB189) | v165(constB189)))) | v164(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32558, 32557])).
% 8.28/6.41 tff(32560,plain,
% 8.28/6.41 (v164(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32559, 32524])).
% 8.28/6.41 tff(32561,plain,
% 8.28/6.41 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB189)) | (v161(constB189) <=> v168(constB189)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB189)) | (v161(constB189) <=> v168(constB189)))),
% 8.28/6.41 inference(rewrite,[status(thm)],[])).
% 8.28/6.41 tff(32562,plain,
% 8.28/6.41 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB189)) | (v161(constB189) <=> v168(constB189)))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32563,plain,
% 8.28/6.41 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB189)) | (v161(constB189) <=> v168(constB189))),
% 8.28/6.41 inference(modus_ponens,[status(thm)],[32562, 32561])).
% 8.28/6.41 tff(32564,plain,
% 8.28/6.41 ((~v164(constB189)) | (v161(constB189) <=> v168(constB189))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32563, 12128])).
% 8.28/6.41 tff(32565,plain,
% 8.28/6.41 (v161(constB189) <=> v168(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32564, 32560])).
% 8.28/6.41 tff(32566,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32567,plain,
% 8.28/6.41 (v139(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2)))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32566, 12146])).
% 8.28/6.41 tff(32568,plain,
% 8.28/6.41 ((v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2)) | (~v88(constB189, bitIndex2))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32569,plain,
% 8.28/6.41 (v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32568, 32539])).
% 8.28/6.41 tff(32570,plain,
% 8.28/6.41 ((~(v139(constB189) <=> (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2))))) | (~v139(constB189)) | (~(v88(constB189, bitIndex0) | v88(constB189, bitIndex1) | v88(constB189, bitIndex2)))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32571,plain,
% 8.28/6.41 (~v139(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32570, 32569, 32567])).
% 8.28/6.41 tff(32572,plain,
% 8.28/6.41 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB189) <=> (~(v88(constB189, bitIndex1) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex0)))))),
% 8.28/6.41 inference(quant_inst,[status(thm)],[])).
% 8.28/6.41 tff(32573,plain,
% 8.28/6.41 (v140(constB189) <=> (~(v88(constB189, bitIndex1) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex0))))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32572, 12165])).
% 8.28/6.41 tff(32574,plain,
% 8.28/6.41 ((v88(constB189, bitIndex1) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex0))) | (~v88(constB189, bitIndex2))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32575,plain,
% 8.28/6.41 (v88(constB189, bitIndex1) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex0))),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32574, 32539])).
% 8.28/6.41 tff(32576,plain,
% 8.28/6.41 ((~(v140(constB189) <=> (~(v88(constB189, bitIndex1) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex0)))))) | (~v140(constB189)) | (~(v88(constB189, bitIndex1) | v88(constB189, bitIndex2) | (~v88(constB189, bitIndex0))))),
% 8.28/6.41 inference(tautology,[status(thm)],[])).
% 8.28/6.41 tff(32577,plain,
% 8.28/6.41 (~v140(constB189)),
% 8.28/6.41 inference(unit_resolution,[status(thm)],[32576, 32575, 32573])).
% 8.28/6.41 tff(32578,plain,
% 8.28/6.41 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB189) | v140(constB189) | (~v168(constB189)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB189) | v140(constB189) | (~v168(constB189)))),
% 8.28/6.41 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32579,plain,
% 8.28/6.42 ((v140(constB189) | v139(constB189) | (~v168(constB189))) <=> (v139(constB189) | v140(constB189) | (~v168(constB189)))),
% 8.28/6.42 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32580,plain,
% 8.28/6.42 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB189) | v139(constB189) | (~v168(constB189)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB189) | v140(constB189) | (~v168(constB189))))),
% 8.28/6.42 inference(monotonicity,[status(thm)],[32579])).
% 8.28/6.42 tff(32581,plain,
% 8.28/6.42 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB189) | v139(constB189) | (~v168(constB189)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB189) | v140(constB189) | (~v168(constB189)))),
% 8.28/6.42 inference(transitivity,[status(thm)],[32580, 32578])).
% 8.28/6.42 tff(32582,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB189) | v139(constB189) | (~v168(constB189)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32583,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB189) | v140(constB189) | (~v168(constB189))),
% 8.28/6.42 inference(modus_ponens,[status(thm)],[32582, 32581])).
% 8.28/6.42 tff(32584,plain,
% 8.28/6.42 (v139(constB189) | v140(constB189) | (~v168(constB189))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32583, 12184])).
% 8.28/6.42 tff(32585,plain,
% 8.28/6.42 (~v168(constB189)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32584, 32577, 32571])).
% 8.28/6.42 tff(32586,plain,
% 8.28/6.42 ((~(v161(constB189) <=> v168(constB189))) | (~v161(constB189)) | v168(constB189)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32587,plain,
% 8.28/6.42 ((~(v161(constB189) <=> v168(constB189))) | (~v161(constB189))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32586, 32585])).
% 8.28/6.42 tff(32588,plain,
% 8.28/6.42 (~v161(constB189)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32587, 32565])).
% 8.28/6.42 tff(32589,plain,
% 8.28/6.42 ((~(v159(constB189) <=> v161(constB189))) | (~v159(constB189)) | v161(constB189)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32590,plain,
% 8.28/6.42 ((~(v159(constB189) <=> v161(constB189))) | (~v159(constB189))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32589, 32588])).
% 8.28/6.42 tff(32591,plain,
% 8.28/6.42 (~v159(constB189)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32590, 32522])).
% 8.28/6.42 tff(32592,plain,
% 8.28/6.42 (((~v184(constB189)) | (~v159(constB189))) | v159(constB189)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32593,plain,
% 8.28/6.42 ((~v184(constB189)) | (~v159(constB189))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32592, 32591])).
% 8.28/6.42 tff(32594,plain,
% 8.28/6.42 ((~(v187(constB189) <=> (~((~v184(constB189)) | (~v159(constB189)))))) | (~v187(constB189)) | (~((~v184(constB189)) | (~v159(constB189))))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32595,plain,
% 8.28/6.42 (~v187(constB189)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32594, 32593, 32520])).
% 8.28/6.42 tff(32596,plain,
% 8.28/6.42 (((~v186(constB189)) | (~v187(constB189))) | v187(constB189)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32597,plain,
% 8.28/6.42 ((~v186(constB189)) | (~v187(constB189))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32596, 32595])).
% 8.28/6.42 tff(32598,plain,
% 8.28/6.42 ((~(v185(constB189) <=> (~((~v186(constB189)) | (~v187(constB189)))))) | (~v185(constB189)) | (~((~v186(constB189)) | (~v187(constB189))))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32599,plain,
% 8.28/6.42 (~v185(constB189)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32598, 32597, 32518])).
% 8.28/6.42 tff(32600,plain,
% 8.28/6.42 ((~(v181(constB189) | v185(constB189))) | v181(constB189) | v185(constB189)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32601,plain,
% 8.28/6.42 (~(v181(constB189) | v185(constB189))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32600, 32599, 32516])).
% 8.28/6.42 tff(32602,plain,
% 8.28/6.42 ((~(v178(constB189) <=> (v181(constB189) | v185(constB189)))) | (~v178(constB189)) | (v181(constB189) | v185(constB189))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32603,plain,
% 8.28/6.42 (~v178(constB189)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32602, 32601, 32443])).
% 8.28/6.42 tff(32604,plain,
% 8.28/6.42 ((~(v180(constB190) <=> v178(constB189))) | (~v180(constB190)) | v178(constB189)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32605,plain,
% 8.28/6.42 (~v180(constB190)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32604, 32603, 32441])).
% 8.28/6.42 tff(32606,plain,
% 8.28/6.42 ((~(v157(constB190) <=> v180(constB190))) | (~v157(constB190)) | v180(constB190)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32607,plain,
% 8.28/6.42 (~v157(constB190)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32606, 32605, 32437])).
% 8.28/6.42 tff(32608,plain,
% 8.28/6.42 (((~v157(constB190)) | (~v182(constB190))) | v157(constB190)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32609,plain,
% 8.28/6.42 ((~v157(constB190)) | (~v182(constB190))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32608, 32607])).
% 8.28/6.42 tff(32610,plain,
% 8.28/6.42 ((~(v181(constB190) <=> (~((~v157(constB190)) | (~v182(constB190)))))) | (~v181(constB190)) | (~((~v157(constB190)) | (~v182(constB190))))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32611,plain,
% 8.28/6.42 (~v181(constB190)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32610, 32609, 32435])).
% 8.28/6.42 tff(32612,plain,
% 8.28/6.42 ((~(v181(constB190) | v185(constB190))) | v181(constB190) | v185(constB190)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32613,plain,
% 8.28/6.42 (~(v181(constB190) | v185(constB190))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32612, 32611, 32428])).
% 8.28/6.42 tff(32614,plain,
% 8.28/6.42 ((~(v178(constB190) <=> (v181(constB190) | v185(constB190)))) | (~v178(constB190)) | (v181(constB190) | v185(constB190))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32615,plain,
% 8.28/6.42 (~v178(constB190)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32614, 32613, 32403])).
% 8.28/6.42 tff(32616,plain,
% 8.28/6.42 ((~(v180(constB191) <=> v178(constB190))) | (~v180(constB191)) | v178(constB190)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32617,plain,
% 8.28/6.42 (~v180(constB191)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32616, 32615, 32401])).
% 8.28/6.42 tff(32618,plain,
% 8.28/6.42 ($false),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32617, 32397])).
% 8.28/6.42 tff(32619,plain,(~(constB191 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.28/6.42 tff(32620,assumption,(constB39 = VarCurr!0), introduced(assumption)).
% 8.28/6.42 tff(32621,plain,
% 8.28/6.42 (v180(constB39) <=> v180(VarCurr!0)),
% 8.28/6.42 inference(monotonicity,[status(thm)],[32620])).
% 8.28/6.42 tff(32622,plain,
% 8.28/6.42 (v180(VarCurr!0) <=> v180(constB39)),
% 8.28/6.42 inference(symmetry,[status(thm)],[32621])).
% 8.28/6.42 tff(32623,plain,
% 8.28/6.42 (v180(constB39)),
% 8.28/6.42 inference(modus_ponens,[status(thm)],[59, 32622])).
% 8.28/6.42 tff(32624,plain,
% 8.28/6.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB38, constB39)) | (v180(constB39) <=> v178(constB38)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB38, constB39)) | (v180(constB39) <=> v178(constB38)))),
% 8.28/6.42 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32625,plain,
% 8.28/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB38, constB39)) | (v180(constB39) <=> v178(constB38)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32626,plain,
% 8.28/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB38, constB39)) | (v180(constB39) <=> v178(constB38))),
% 8.28/6.42 inference(modus_ponens,[status(thm)],[32625, 32624])).
% 8.28/6.42 tff(32627,plain,
% 8.28/6.42 (v180(constB39) <=> v178(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32626, 2640, 70])).
% 8.28/6.42 tff(32628,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB38) <=> (v181(constB38) | v185(constB38)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32629,plain,
% 8.28/6.42 (v178(constB38) <=> (v181(constB38) | v185(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32628, 84])).
% 8.28/6.42 tff(32630,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB38) <=> (~((~v186(constB38)) | (~v187(constB38)))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32631,plain,
% 8.28/6.42 (v185(constB38) <=> (~((~v186(constB38)) | (~v187(constB38))))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32630, 96])).
% 8.28/6.42 tff(32632,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB38) <=> (~((~v184(constB38)) | (~v159(constB38)))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32633,plain,
% 8.28/6.42 (v187(constB38) <=> (~((~v184(constB38)) | (~v159(constB38))))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32632, 108])).
% 8.28/6.42 tff(32634,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32635,plain,
% 8.28/6.42 (v184(constB38) <=> (~((~v39(constB38)) | (~v9(constB38))))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32634, 120])).
% 8.28/6.42 tff(32636,plain,
% 8.28/6.42 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB38)) <=> v1(constB38))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32637,plain,
% 8.28/6.42 ((~v39(constB38)) <=> v1(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32636, 129])).
% 8.28/6.42 tff(32638,plain,
% 8.28/6.42 ((~((~v39(constB38)) <=> v1(constB38))) | (~v39(constB38)) | (~v1(constB38))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32639,plain,
% 8.28/6.42 ((~((~v39(constB38)) <=> v1(constB38))) | (~v39(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32638, 6984])).
% 8.28/6.42 tff(32640,plain,
% 8.28/6.42 (~v39(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32639, 32637])).
% 8.28/6.42 tff(32641,plain,
% 8.28/6.42 (((~v39(constB38)) | (~v9(constB38))) | v39(constB38)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32642,plain,
% 8.28/6.42 ((~v39(constB38)) | (~v9(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32641, 32640])).
% 8.28/6.42 tff(32643,plain,
% 8.28/6.42 ((~(v184(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))) | (~v184(constB38)) | (~((~v39(constB38)) | (~v9(constB38))))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32644,plain,
% 8.28/6.42 ((~(v184(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))) | (~v184(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32643, 32642])).
% 8.28/6.42 tff(32645,plain,
% 8.28/6.42 (~v184(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32644, 32635])).
% 8.28/6.42 tff(32646,plain,
% 8.28/6.42 (((~v184(constB38)) | (~v159(constB38))) | v184(constB38)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32647,plain,
% 8.28/6.42 ((~v184(constB38)) | (~v159(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32646, 32645])).
% 8.28/6.42 tff(32648,plain,
% 8.28/6.42 ((~(v187(constB38) <=> (~((~v184(constB38)) | (~v159(constB38)))))) | (~v187(constB38)) | (~((~v184(constB38)) | (~v159(constB38))))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32649,plain,
% 8.28/6.42 ((~(v187(constB38) <=> (~((~v184(constB38)) | (~v159(constB38)))))) | (~v187(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32648, 32647])).
% 8.28/6.42 tff(32650,plain,
% 8.28/6.42 (~v187(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32649, 32633])).
% 8.28/6.42 tff(32651,plain,
% 8.28/6.42 (((~v186(constB38)) | (~v187(constB38))) | v187(constB38)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32652,plain,
% 8.28/6.42 ((~v186(constB38)) | (~v187(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32651, 32650])).
% 8.28/6.42 tff(32653,plain,
% 8.28/6.42 ((~(v185(constB38) <=> (~((~v186(constB38)) | (~v187(constB38)))))) | (~v185(constB38)) | (~((~v186(constB38)) | (~v187(constB38))))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32654,plain,
% 8.28/6.42 (~v185(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32653, 32652, 32631])).
% 8.28/6.42 tff(32655,plain,
% 8.28/6.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38))))))),
% 8.28/6.42 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32656,plain,
% 8.28/6.42 ((v181(constB38) <=> (~((~v182(constB38)) | (~v157(constB38))))) <=> (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38)))))),
% 8.28/6.42 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32657,plain,
% 8.28/6.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v182(constB38)) | (~v157(constB38)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38))))))),
% 8.28/6.42 inference(monotonicity,[status(thm)],[32656])).
% 8.28/6.42 tff(32658,plain,
% 8.28/6.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v182(constB38)) | (~v157(constB38)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38))))))),
% 8.28/6.42 inference(transitivity,[status(thm)],[32657, 32655])).
% 8.28/6.42 tff(32659,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v182(constB38)) | (~v157(constB38)))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32660,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38)))))),
% 8.28/6.42 inference(modus_ponens,[status(thm)],[32659, 32658])).
% 8.28/6.42 tff(32661,plain,
% 8.28/6.42 (v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38))))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32660, 161])).
% 8.28/6.42 tff(32662,plain,
% 8.28/6.42 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB38) <=> v180(constB38))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32663,plain,
% 8.28/6.42 (v157(constB38) <=> v180(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32662, 13])).
% 8.28/6.42 tff(32664,plain,
% 8.28/6.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB37, constB38)) | (v180(constB38) <=> v178(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB37, constB38)) | (v180(constB38) <=> v178(constB37)))),
% 8.28/6.42 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32665,plain,
% 8.28/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB37, constB38)) | (v180(constB38) <=> v178(constB37)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32666,plain,
% 8.28/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB37, constB38)) | (v180(constB38) <=> v178(constB37))),
% 8.28/6.42 inference(modus_ponens,[status(thm)],[32665, 32664])).
% 8.28/6.42 tff(32667,plain,
% 8.28/6.42 (v180(constB38) <=> v178(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32666, 2676, 70])).
% 8.28/6.42 tff(32668,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB37) <=> (v181(constB37) | v185(constB37)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32669,plain,
% 8.28/6.42 (v178(constB37) <=> (v181(constB37) | v185(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32668, 84])).
% 8.28/6.42 tff(32670,plain,
% 8.28/6.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37))))))),
% 8.28/6.42 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32671,plain,
% 8.28/6.42 ((v181(constB37) <=> (~((~v182(constB37)) | (~v157(constB37))))) <=> (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37)))))),
% 8.28/6.42 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32672,plain,
% 8.28/6.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v182(constB37)) | (~v157(constB37)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37))))))),
% 8.28/6.42 inference(monotonicity,[status(thm)],[32671])).
% 8.28/6.42 tff(32673,plain,
% 8.28/6.42 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v182(constB37)) | (~v157(constB37)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37))))))),
% 8.28/6.42 inference(transitivity,[status(thm)],[32672, 32670])).
% 8.28/6.42 tff(32674,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v182(constB37)) | (~v157(constB37)))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32675,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37)))))),
% 8.28/6.42 inference(modus_ponens,[status(thm)],[32674, 32673])).
% 8.28/6.42 tff(32676,plain,
% 8.28/6.42 (v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37))))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32675, 161])).
% 8.28/6.42 tff(32677,plain,
% 8.28/6.42 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB37)) <=> v183(constB37))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32678,plain,
% 8.28/6.42 ((~v182(constB37)) <=> v183(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32677, 193])).
% 8.28/6.42 tff(32679,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB37) <=> (v184(constB37) | v26(constB37)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32680,plain,
% 8.28/6.42 (v183(constB37) <=> (v184(constB37) | v26(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32679, 202])).
% 8.28/6.42 tff(32681,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB37) <=> (~((~v39(constB37)) | (~v9(constB37)))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32682,plain,
% 8.28/6.42 (v184(constB37) <=> (~((~v39(constB37)) | (~v9(constB37))))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32681, 120])).
% 8.28/6.42 tff(32683,plain,
% 8.28/6.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37)))),
% 8.28/6.42 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32684,plain,
% 8.28/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32685,plain,
% 8.28/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37))),
% 8.28/6.42 inference(modus_ponens,[status(thm)],[32684, 32683])).
% 8.28/6.42 tff(32686,plain,
% 8.28/6.42 (v13(constB38) <=> v9(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32685, 2676, 216])).
% 8.28/6.42 tff(32687,plain,
% 8.28/6.42 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB38) <=> v13(constB38))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32688,plain,
% 8.28/6.42 (v6(constB38) <=> v13(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32687, 230])).
% 8.28/6.42 tff(32689,plain,
% 8.28/6.42 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB38)) <=> v6(constB38))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32690,plain,
% 8.28/6.42 ((~v21(constB38)) <=> v6(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32689, 239])).
% 8.28/6.42 tff(32691,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB38) <=> (v20(constB38) | v21(constB38)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32692,plain,
% 8.28/6.42 (v19(constB38) <=> (v20(constB38) | v21(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32691, 248])).
% 8.28/6.42 tff(32693,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38)))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32694,plain,
% 8.28/6.42 (v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38))))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32693, 260])).
% 8.28/6.42 tff(32695,plain,
% 8.28/6.42 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB38)) <=> v18(constB38))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32696,plain,
% 8.28/6.42 ((~v4(constB38)) <=> v18(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32695, 269])).
% 8.28/6.42 tff(32697,plain,
% 8.28/6.42 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB38)),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32698,plain,
% 8.28/6.42 (v4(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32697, 278])).
% 8.28/6.42 tff(32699,plain,
% 8.28/6.42 ((~((~v4(constB38)) <=> v18(constB38))) | (~v4(constB38)) | (~v18(constB38))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32700,plain,
% 8.28/6.42 (~v18(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32699, 32698, 32696])).
% 8.28/6.42 tff(32701,plain,
% 8.28/6.42 ((~(v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38)))))) | v18(constB38) | ((~v19(constB38)) | (~v22(constB38)))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32702,plain,
% 8.28/6.42 ((~v19(constB38)) | (~v22(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32701, 32700, 32694])).
% 8.28/6.42 tff(32703,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB38) <=> (v1(constB38) | v6(constB38)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32704,plain,
% 8.28/6.42 (v22(constB38) <=> (v1(constB38) | v6(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32703, 291])).
% 8.28/6.42 tff(32705,plain,
% 8.28/6.42 ((v1(constB38) | v6(constB38)) | (~v1(constB38))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32706,plain,
% 8.28/6.42 (v1(constB38) | v6(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32705, 6984])).
% 8.28/6.42 tff(32707,plain,
% 8.28/6.42 ((~(v22(constB38) <=> (v1(constB38) | v6(constB38)))) | v22(constB38) | (~(v1(constB38) | v6(constB38)))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32708,plain,
% 8.28/6.42 ((~(v22(constB38) <=> (v1(constB38) | v6(constB38)))) | v22(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32707, 32706])).
% 8.28/6.42 tff(32709,plain,
% 8.28/6.42 (v22(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32708, 32704])).
% 8.28/6.42 tff(32710,plain,
% 8.28/6.42 ((~((~v19(constB38)) | (~v22(constB38)))) | (~v19(constB38)) | (~v22(constB38))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32711,plain,
% 8.28/6.42 ((~((~v19(constB38)) | (~v22(constB38)))) | (~v19(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32710, 32709])).
% 8.28/6.42 tff(32712,plain,
% 8.28/6.42 (~v19(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32711, 32702])).
% 8.28/6.42 tff(32713,plain,
% 8.28/6.42 ((~(v19(constB38) <=> (v20(constB38) | v21(constB38)))) | v19(constB38) | (~(v20(constB38) | v21(constB38)))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32714,plain,
% 8.28/6.42 (~(v20(constB38) | v21(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32713, 32712, 32692])).
% 8.28/6.42 tff(32715,plain,
% 8.28/6.42 ((v20(constB38) | v21(constB38)) | (~v21(constB38))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32716,plain,
% 8.28/6.42 (~v21(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32715, 32714])).
% 8.28/6.42 tff(32717,plain,
% 8.28/6.42 ((~((~v21(constB38)) <=> v6(constB38))) | v21(constB38) | v6(constB38)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32718,plain,
% 8.28/6.42 (v6(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32717, 32716, 32690])).
% 8.28/6.42 tff(32719,plain,
% 8.28/6.42 ((~(v6(constB38) <=> v13(constB38))) | (~v6(constB38)) | v13(constB38)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32720,plain,
% 8.28/6.42 (v13(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32719, 32718, 32688])).
% 8.28/6.42 tff(32721,plain,
% 8.28/6.42 ((~(v13(constB38) <=> v9(constB37))) | (~v13(constB38)) | v9(constB37)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32722,plain,
% 8.28/6.42 (v9(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32721, 32720, 32686])).
% 8.28/6.42 tff(32723,plain,
% 8.28/6.42 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB37)) <=> v1(constB37))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32724,plain,
% 8.28/6.42 ((~v39(constB37)) <=> v1(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32723, 129])).
% 8.28/6.42 tff(32725,plain,
% 8.28/6.42 ((~((~v39(constB37)) <=> v1(constB37))) | v39(constB37) | v1(constB37)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32726,plain,
% 8.28/6.42 ((~((~v39(constB37)) <=> v1(constB37))) | v39(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32725, 2715])).
% 8.28/6.42 tff(32727,plain,
% 8.28/6.42 (v39(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32726, 32724])).
% 8.28/6.42 tff(32728,plain,
% 8.28/6.42 ((~((~v39(constB37)) | (~v9(constB37)))) | (~v39(constB37)) | (~v9(constB37))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32729,plain,
% 8.28/6.42 ((~((~v39(constB37)) | (~v9(constB37)))) | (~v9(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32728, 32727])).
% 8.28/6.42 tff(32730,plain,
% 8.28/6.42 (~((~v39(constB37)) | (~v9(constB37)))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32729, 32722])).
% 8.28/6.42 tff(32731,plain,
% 8.28/6.42 ((~(v184(constB37) <=> (~((~v39(constB37)) | (~v9(constB37)))))) | v184(constB37) | ((~v39(constB37)) | (~v9(constB37)))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32732,plain,
% 8.28/6.42 (v184(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32731, 32730, 32682])).
% 8.28/6.42 tff(32733,plain,
% 8.28/6.42 ((v184(constB37) | v26(constB37)) | (~v184(constB37))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32734,plain,
% 8.28/6.42 (v184(constB37) | v26(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32733, 32732])).
% 8.28/6.42 tff(32735,plain,
% 8.28/6.42 ((~(v183(constB37) <=> (v184(constB37) | v26(constB37)))) | v183(constB37) | (~(v184(constB37) | v26(constB37)))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32736,plain,
% 8.28/6.42 (v183(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32735, 32734, 32680])).
% 8.28/6.42 tff(32737,plain,
% 8.28/6.42 ((~((~v182(constB37)) <=> v183(constB37))) | (~v182(constB37)) | (~v183(constB37))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32738,plain,
% 8.28/6.42 (~v182(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32737, 32736, 32678])).
% 8.28/6.42 tff(32739,plain,
% 8.28/6.42 (((~v157(constB37)) | (~v182(constB37))) | v182(constB37)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32740,plain,
% 8.28/6.42 ((~v157(constB37)) | (~v182(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32739, 32738])).
% 8.28/6.42 tff(32741,plain,
% 8.28/6.42 ((~(v181(constB37) <=> (~((~v157(constB37)) | (~v182(constB37)))))) | (~v181(constB37)) | (~((~v157(constB37)) | (~v182(constB37))))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32742,plain,
% 8.28/6.42 (~v181(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32741, 32740, 32676])).
% 8.28/6.42 tff(32743,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB37) <=> (~((~v186(constB37)) | (~v187(constB37)))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32744,plain,
% 8.28/6.42 (v185(constB37) <=> (~((~v186(constB37)) | (~v187(constB37))))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32743, 96])).
% 8.28/6.42 tff(32745,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB37) <=> (~((~v184(constB37)) | (~v159(constB37)))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32746,plain,
% 8.28/6.42 (v187(constB37) <=> (~((~v184(constB37)) | (~v159(constB37))))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32745, 108])).
% 8.28/6.42 tff(32747,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB37) <=> v161(constB37))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32748,plain,
% 8.28/6.42 (v159(constB37) <=> v161(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32747, 345])).
% 8.28/6.42 tff(32749,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB37) <=> (v145(constB37) | v165(constB37)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32750,plain,
% 8.28/6.42 (v164(constB37) <=> (v145(constB37) | v165(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32749, 357])).
% 8.28/6.42 tff(32751,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB37) <=> (v142(constB37) | v166(constB37)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32752,plain,
% 8.28/6.42 (v165(constB37) <=> (v142(constB37) | v166(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32751, 369])).
% 8.28/6.42 tff(32753,plain,
% 8.28/6.42 ((v142(constB37) | v166(constB37)) | (~v142(constB37))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32754,plain,
% 8.28/6.42 (v142(constB37) | v166(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32753, 30468])).
% 8.28/6.42 tff(32755,plain,
% 8.28/6.42 ((~(v165(constB37) <=> (v142(constB37) | v166(constB37)))) | v165(constB37) | (~(v142(constB37) | v166(constB37)))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32756,plain,
% 8.28/6.42 ((~(v165(constB37) <=> (v142(constB37) | v166(constB37)))) | v165(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32755, 32754])).
% 8.28/6.42 tff(32757,plain,
% 8.28/6.42 (v165(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32756, 32752])).
% 8.28/6.42 tff(32758,plain,
% 8.28/6.42 ((v145(constB37) | v165(constB37)) | (~v165(constB37))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32759,plain,
% 8.28/6.42 (v145(constB37) | v165(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32758, 32757])).
% 8.28/6.42 tff(32760,plain,
% 8.28/6.42 ((~(v164(constB37) <=> (v145(constB37) | v165(constB37)))) | v164(constB37) | (~(v145(constB37) | v165(constB37)))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32761,plain,
% 8.28/6.42 (v164(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32760, 32759, 32750])).
% 8.28/6.42 tff(32762,plain,
% 8.28/6.42 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB37)) | (v161(constB37) <=> v168(constB37)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB37)) | (v161(constB37) <=> v168(constB37)))),
% 8.28/6.42 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32763,plain,
% 8.28/6.42 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB37)) | (v161(constB37) <=> v168(constB37)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32764,plain,
% 8.28/6.42 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB37)) | (v161(constB37) <=> v168(constB37))),
% 8.28/6.42 inference(modus_ponens,[status(thm)],[32763, 32762])).
% 8.28/6.42 tff(32765,plain,
% 8.28/6.42 ((~v164(constB37)) | (v161(constB37) <=> v168(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32764, 12128])).
% 8.28/6.42 tff(32766,plain,
% 8.28/6.42 (v161(constB37) <=> v168(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32765, 32761])).
% 8.28/6.42 tff(32767,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB37) <=> (~(v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32768,plain,
% 8.28/6.42 (v139(constB37) <=> (~(v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2)))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32767, 12146])).
% 8.28/6.42 tff(32769,plain,
% 8.28/6.42 ((v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2)) | (~v88(constB37, bitIndex2))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32770,plain,
% 8.28/6.42 (v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32769, 30452])).
% 8.28/6.42 tff(32771,plain,
% 8.28/6.42 ((~(v139(constB37) <=> (~(v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2))))) | (~v139(constB37)) | (~(v88(constB37, bitIndex0) | v88(constB37, bitIndex1) | v88(constB37, bitIndex2)))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32772,plain,
% 8.28/6.42 (~v139(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32771, 32770, 32768])).
% 8.28/6.42 tff(32773,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB37) <=> (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0)))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32774,plain,
% 8.28/6.42 (v140(constB37) <=> (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0))))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32773, 12165])).
% 8.28/6.42 tff(32775,plain,
% 8.28/6.42 ((v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0))) | (~v88(constB37, bitIndex2))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32776,plain,
% 8.28/6.42 (v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32775, 30452])).
% 8.28/6.42 tff(32777,plain,
% 8.28/6.42 ((~(v140(constB37) <=> (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0)))))) | (~v140(constB37)) | (~(v88(constB37, bitIndex1) | v88(constB37, bitIndex2) | (~v88(constB37, bitIndex0))))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32778,plain,
% 8.28/6.42 (~v140(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32777, 32776, 32774])).
% 8.28/6.42 tff(32779,plain,
% 8.28/6.42 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB37) | v139(constB37) | (~v168(constB37)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB37) | v139(constB37) | (~v168(constB37)))),
% 8.28/6.42 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32780,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB37) | v139(constB37) | (~v168(constB37)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32781,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB37) | v139(constB37) | (~v168(constB37))),
% 8.28/6.42 inference(modus_ponens,[status(thm)],[32780, 32779])).
% 8.28/6.42 tff(32782,plain,
% 8.28/6.42 (v140(constB37) | v139(constB37) | (~v168(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32781, 12184])).
% 8.28/6.42 tff(32783,plain,
% 8.28/6.42 (~v168(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32782, 32778, 32772])).
% 8.28/6.42 tff(32784,plain,
% 8.28/6.42 ((~(v161(constB37) <=> v168(constB37))) | (~v161(constB37)) | v168(constB37)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32785,plain,
% 8.28/6.42 ((~(v161(constB37) <=> v168(constB37))) | (~v161(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32784, 32783])).
% 8.28/6.42 tff(32786,plain,
% 8.28/6.42 (~v161(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32785, 32766])).
% 8.28/6.42 tff(32787,plain,
% 8.28/6.42 ((~(v159(constB37) <=> v161(constB37))) | (~v159(constB37)) | v161(constB37)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32788,plain,
% 8.28/6.42 ((~(v159(constB37) <=> v161(constB37))) | (~v159(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32787, 32786])).
% 8.28/6.42 tff(32789,plain,
% 8.28/6.42 (~v159(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32788, 32748])).
% 8.28/6.42 tff(32790,plain,
% 8.28/6.42 (((~v184(constB37)) | (~v159(constB37))) | v159(constB37)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32791,plain,
% 8.28/6.42 ((~v184(constB37)) | (~v159(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32790, 32789])).
% 8.28/6.42 tff(32792,plain,
% 8.28/6.42 ((~(v187(constB37) <=> (~((~v184(constB37)) | (~v159(constB37)))))) | (~v187(constB37)) | (~((~v184(constB37)) | (~v159(constB37))))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32793,plain,
% 8.28/6.42 (~v187(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32792, 32791, 32746])).
% 8.28/6.42 tff(32794,plain,
% 8.28/6.42 (((~v186(constB37)) | (~v187(constB37))) | v187(constB37)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32795,plain,
% 8.28/6.42 ((~v186(constB37)) | (~v187(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32794, 32793])).
% 8.28/6.42 tff(32796,plain,
% 8.28/6.42 ((~(v185(constB37) <=> (~((~v186(constB37)) | (~v187(constB37)))))) | (~v185(constB37)) | (~((~v186(constB37)) | (~v187(constB37))))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32797,plain,
% 8.28/6.42 (~v185(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32796, 32795, 32744])).
% 8.28/6.42 tff(32798,plain,
% 8.28/6.42 ((~(v181(constB37) | v185(constB37))) | v181(constB37) | v185(constB37)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32799,plain,
% 8.28/6.42 (~(v181(constB37) | v185(constB37))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32798, 32797, 32742])).
% 8.28/6.42 tff(32800,plain,
% 8.28/6.42 ((~(v178(constB37) <=> (v181(constB37) | v185(constB37)))) | (~v178(constB37)) | (v181(constB37) | v185(constB37))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32801,plain,
% 8.28/6.42 (~v178(constB37)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32800, 32799, 32669])).
% 8.28/6.42 tff(32802,plain,
% 8.28/6.42 ((~(v180(constB38) <=> v178(constB37))) | (~v180(constB38)) | v178(constB37)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32803,plain,
% 8.28/6.42 (~v180(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32802, 32801, 32667])).
% 8.28/6.42 tff(32804,plain,
% 8.28/6.42 ((~(v157(constB38) <=> v180(constB38))) | (~v157(constB38)) | v180(constB38)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32805,plain,
% 8.28/6.42 (~v157(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32804, 32803, 32663])).
% 8.28/6.42 tff(32806,plain,
% 8.28/6.42 (((~v157(constB38)) | (~v182(constB38))) | v157(constB38)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32807,plain,
% 8.28/6.42 ((~v157(constB38)) | (~v182(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32806, 32805])).
% 8.28/6.42 tff(32808,plain,
% 8.28/6.42 ((~(v181(constB38) <=> (~((~v157(constB38)) | (~v182(constB38)))))) | (~v181(constB38)) | (~((~v157(constB38)) | (~v182(constB38))))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32809,plain,
% 8.28/6.42 (~v181(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32808, 32807, 32661])).
% 8.28/6.42 tff(32810,plain,
% 8.28/6.42 ((~(v181(constB38) | v185(constB38))) | v181(constB38) | v185(constB38)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32811,plain,
% 8.28/6.42 (~(v181(constB38) | v185(constB38))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32810, 32809, 32654])).
% 8.28/6.42 tff(32812,plain,
% 8.28/6.42 ((~(v178(constB38) <=> (v181(constB38) | v185(constB38)))) | (~v178(constB38)) | (v181(constB38) | v185(constB38))),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32813,plain,
% 8.28/6.42 (~v178(constB38)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32812, 32811, 32629])).
% 8.28/6.42 tff(32814,plain,
% 8.28/6.42 ((~(v180(constB39) <=> v178(constB38))) | (~v180(constB39)) | v178(constB38)),
% 8.28/6.42 inference(tautology,[status(thm)],[])).
% 8.28/6.42 tff(32815,plain,
% 8.28/6.42 (~v180(constB39)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32814, 32813, 32627])).
% 8.28/6.42 tff(32816,plain,
% 8.28/6.42 ($false),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32815, 32623])).
% 8.28/6.42 tff(32817,plain,(~(constB39 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.28/6.42 tff(32818,assumption,(constB93 = VarCurr!0), introduced(assumption)).
% 8.28/6.42 tff(32819,plain,
% 8.28/6.42 (v180(constB93) <=> v180(VarCurr!0)),
% 8.28/6.42 inference(monotonicity,[status(thm)],[32818])).
% 8.28/6.42 tff(32820,plain,
% 8.28/6.42 (v180(VarCurr!0) <=> v180(constB93)),
% 8.28/6.42 inference(symmetry,[status(thm)],[32819])).
% 8.28/6.42 tff(32821,plain,
% 8.28/6.42 (v180(constB93)),
% 8.28/6.42 inference(modus_ponens,[status(thm)],[59, 32820])).
% 8.28/6.42 tff(32822,plain,
% 8.28/6.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB92, constB93)) | (v180(constB93) <=> v178(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB92, constB93)) | (v180(constB93) <=> v178(constB92)))),
% 8.28/6.42 inference(rewrite,[status(thm)],[])).
% 8.28/6.42 tff(32823,plain,
% 8.28/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB92, constB93)) | (v180(constB93) <=> v178(constB92)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32824,plain,
% 8.28/6.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB92, constB93)) | (v180(constB93) <=> v178(constB92))),
% 8.28/6.42 inference(modus_ponens,[status(thm)],[32823, 32822])).
% 8.28/6.42 tff(32825,plain,
% 8.28/6.42 (v180(constB93) <=> v178(constB92)),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32824, 890, 70])).
% 8.28/6.42 tff(32826,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB92) <=> (v181(constB92) | v185(constB92)))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32827,plain,
% 8.28/6.42 (v178(constB92) <=> (v181(constB92) | v185(constB92))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32826, 84])).
% 8.28/6.42 tff(32828,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB92) <=> (~((~v186(constB92)) | (~v187(constB92)))))),
% 8.28/6.42 inference(quant_inst,[status(thm)],[])).
% 8.28/6.42 tff(32829,plain,
% 8.28/6.42 (v185(constB92) <=> (~((~v186(constB92)) | (~v187(constB92))))),
% 8.28/6.42 inference(unit_resolution,[status(thm)],[32828, 96])).
% 8.28/6.42 tff(32830,plain,
% 8.28/6.42 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB92) <=> (~((~v184(constB92)) | (~v159(constB92)))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32831,plain,
% 8.28/6.43 (v187(constB92) <=> (~((~v184(constB92)) | (~v159(constB92))))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32830, 108])).
% 8.28/6.43 tff(32832,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32833,plain,
% 8.28/6.43 (v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92))))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32832, 120])).
% 8.28/6.43 tff(32834,plain,
% 8.28/6.43 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB92)) <=> v1(constB92))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32835,plain,
% 8.28/6.43 ((~v39(constB92)) <=> v1(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32834, 129])).
% 8.28/6.43 tff(32836,plain,
% 8.28/6.43 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92)) | (~v1(constB92))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32837,plain,
% 8.28/6.43 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32836, 11198])).
% 8.28/6.43 tff(32838,plain,
% 8.28/6.43 (~v39(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32837, 32835])).
% 8.28/6.43 tff(32839,plain,
% 8.28/6.43 (((~v39(constB92)) | (~v9(constB92))) | v39(constB92)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32840,plain,
% 8.28/6.43 ((~v39(constB92)) | (~v9(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32839, 32838])).
% 8.28/6.43 tff(32841,plain,
% 8.28/6.43 ((~(v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v184(constB92)) | (~((~v39(constB92)) | (~v9(constB92))))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32842,plain,
% 8.28/6.43 ((~(v184(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v184(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32841, 32840])).
% 8.28/6.43 tff(32843,plain,
% 8.28/6.43 (~v184(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32842, 32833])).
% 8.28/6.43 tff(32844,plain,
% 8.28/6.43 (((~v184(constB92)) | (~v159(constB92))) | v184(constB92)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32845,plain,
% 8.28/6.43 ((~v184(constB92)) | (~v159(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32844, 32843])).
% 8.28/6.43 tff(32846,plain,
% 8.28/6.43 ((~(v187(constB92) <=> (~((~v184(constB92)) | (~v159(constB92)))))) | (~v187(constB92)) | (~((~v184(constB92)) | (~v159(constB92))))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32847,plain,
% 8.28/6.43 ((~(v187(constB92) <=> (~((~v184(constB92)) | (~v159(constB92)))))) | (~v187(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32846, 32845])).
% 8.28/6.43 tff(32848,plain,
% 8.28/6.43 (~v187(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32847, 32831])).
% 8.28/6.43 tff(32849,plain,
% 8.28/6.43 (((~v186(constB92)) | (~v187(constB92))) | v187(constB92)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32850,plain,
% 8.28/6.43 ((~v186(constB92)) | (~v187(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32849, 32848])).
% 8.28/6.43 tff(32851,plain,
% 8.28/6.43 ((~(v185(constB92) <=> (~((~v186(constB92)) | (~v187(constB92)))))) | (~v185(constB92)) | (~((~v186(constB92)) | (~v187(constB92))))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32852,plain,
% 8.28/6.43 (~v185(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32851, 32850, 32829])).
% 8.28/6.43 tff(32853,plain,
% 8.28/6.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92))))))),
% 8.28/6.43 inference(rewrite,[status(thm)],[])).
% 8.28/6.43 tff(32854,plain,
% 8.28/6.43 ((v181(constB92) <=> (~((~v182(constB92)) | (~v157(constB92))))) <=> (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92)))))),
% 8.28/6.43 inference(rewrite,[status(thm)],[])).
% 8.28/6.43 tff(32855,plain,
% 8.28/6.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v182(constB92)) | (~v157(constB92)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92))))))),
% 8.28/6.43 inference(monotonicity,[status(thm)],[32854])).
% 8.28/6.43 tff(32856,plain,
% 8.28/6.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v182(constB92)) | (~v157(constB92)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92))))))),
% 8.28/6.43 inference(transitivity,[status(thm)],[32855, 32853])).
% 8.28/6.43 tff(32857,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v182(constB92)) | (~v157(constB92)))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32858,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92)))))),
% 8.28/6.43 inference(modus_ponens,[status(thm)],[32857, 32856])).
% 8.28/6.43 tff(32859,plain,
% 8.28/6.43 (v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92))))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32858, 161])).
% 8.28/6.43 tff(32860,plain,
% 8.28/6.43 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB92) <=> v180(constB92))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32861,plain,
% 8.28/6.43 (v157(constB92) <=> v180(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32860, 13])).
% 8.28/6.43 tff(32862,plain,
% 8.28/6.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB91, constB92)) | (v180(constB92) <=> v178(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB91, constB92)) | (v180(constB92) <=> v178(constB91)))),
% 8.28/6.43 inference(rewrite,[status(thm)],[])).
% 8.28/6.43 tff(32863,plain,
% 8.28/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB91, constB92)) | (v180(constB92) <=> v178(constB91)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32864,plain,
% 8.28/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB91, constB92)) | (v180(constB92) <=> v178(constB91))),
% 8.28/6.43 inference(modus_ponens,[status(thm)],[32863, 32862])).
% 8.28/6.43 tff(32865,plain,
% 8.28/6.43 (v180(constB92) <=> v178(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32864, 926, 70])).
% 8.28/6.43 tff(32866,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB91) <=> (v181(constB91) | v185(constB91)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32867,plain,
% 8.28/6.43 (v178(constB91) <=> (v181(constB91) | v185(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32866, 84])).
% 8.28/6.43 tff(32868,plain,
% 8.28/6.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91))))))),
% 8.28/6.43 inference(rewrite,[status(thm)],[])).
% 8.28/6.43 tff(32869,plain,
% 8.28/6.43 ((v181(constB91) <=> (~((~v182(constB91)) | (~v157(constB91))))) <=> (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91)))))),
% 8.28/6.43 inference(rewrite,[status(thm)],[])).
% 8.28/6.43 tff(32870,plain,
% 8.28/6.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v182(constB91)) | (~v157(constB91)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91))))))),
% 8.28/6.43 inference(monotonicity,[status(thm)],[32869])).
% 8.28/6.43 tff(32871,plain,
% 8.28/6.43 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v182(constB91)) | (~v157(constB91)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91))))))),
% 8.28/6.43 inference(transitivity,[status(thm)],[32870, 32868])).
% 8.28/6.43 tff(32872,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v182(constB91)) | (~v157(constB91)))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32873,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91)))))),
% 8.28/6.43 inference(modus_ponens,[status(thm)],[32872, 32871])).
% 8.28/6.43 tff(32874,plain,
% 8.28/6.43 (v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91))))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32873, 161])).
% 8.28/6.43 tff(32875,plain,
% 8.28/6.43 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB91)) <=> v183(constB91))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32876,plain,
% 8.28/6.43 ((~v182(constB91)) <=> v183(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32875, 193])).
% 8.28/6.43 tff(32877,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB91) <=> (v184(constB91) | v26(constB91)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32878,plain,
% 8.28/6.43 (v183(constB91) <=> (v184(constB91) | v26(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32877, 202])).
% 8.28/6.43 tff(32879,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB91) <=> (~((~v39(constB91)) | (~v9(constB91)))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32880,plain,
% 8.28/6.43 (v184(constB91) <=> (~((~v39(constB91)) | (~v9(constB91))))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32879, 120])).
% 8.28/6.43 tff(32881,plain,
% 8.28/6.43 (((~![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)))),
% 8.28/6.43 inference(rewrite,[status(thm)],[])).
% 8.28/6.43 tff(32882,plain,
% 8.28/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32883,plain,
% 8.28/6.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91))),
% 8.28/6.43 inference(modus_ponens,[status(thm)],[32882, 32881])).
% 8.28/6.43 tff(32884,plain,
% 8.28/6.43 (v13(constB92) <=> v9(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32883, 926, 216])).
% 8.28/6.43 tff(32885,plain,
% 8.28/6.43 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB92) <=> v13(constB92))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32886,plain,
% 8.28/6.43 (v6(constB92) <=> v13(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32885, 230])).
% 8.28/6.43 tff(32887,plain,
% 8.28/6.43 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB92)) <=> v6(constB92))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32888,plain,
% 8.28/6.43 ((~v21(constB92)) <=> v6(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32887, 239])).
% 8.28/6.43 tff(32889,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB92) <=> (v20(constB92) | v21(constB92)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32890,plain,
% 8.28/6.43 (v19(constB92) <=> (v20(constB92) | v21(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32889, 248])).
% 8.28/6.43 tff(32891,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92)))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32892,plain,
% 8.28/6.43 (v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92))))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32891, 260])).
% 8.28/6.43 tff(32893,plain,
% 8.28/6.43 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB92)) <=> v18(constB92))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32894,plain,
% 8.28/6.43 ((~v4(constB92)) <=> v18(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32893, 269])).
% 8.28/6.43 tff(32895,plain,
% 8.28/6.43 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB92)),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32896,plain,
% 8.28/6.43 (v4(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32895, 278])).
% 8.28/6.43 tff(32897,plain,
% 8.28/6.43 ((~((~v4(constB92)) <=> v18(constB92))) | (~v4(constB92)) | (~v18(constB92))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32898,plain,
% 8.28/6.43 (~v18(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32897, 32896, 32894])).
% 8.28/6.43 tff(32899,plain,
% 8.28/6.43 ((~(v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92)))))) | v18(constB92) | ((~v19(constB92)) | (~v22(constB92)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32900,plain,
% 8.28/6.43 ((~v19(constB92)) | (~v22(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32899, 32898, 32892])).
% 8.28/6.43 tff(32901,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB92) <=> (v1(constB92) | v6(constB92)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32902,plain,
% 8.28/6.43 (v22(constB92) <=> (v1(constB92) | v6(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32901, 291])).
% 8.28/6.43 tff(32903,plain,
% 8.28/6.43 ((v1(constB92) | v6(constB92)) | (~v1(constB92))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32904,plain,
% 8.28/6.43 (v1(constB92) | v6(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32903, 11198])).
% 8.28/6.43 tff(32905,plain,
% 8.28/6.43 ((~(v22(constB92) <=> (v1(constB92) | v6(constB92)))) | v22(constB92) | (~(v1(constB92) | v6(constB92)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32906,plain,
% 8.28/6.43 ((~(v22(constB92) <=> (v1(constB92) | v6(constB92)))) | v22(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32905, 32904])).
% 8.28/6.43 tff(32907,plain,
% 8.28/6.43 (v22(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32906, 32902])).
% 8.28/6.43 tff(32908,plain,
% 8.28/6.43 ((~((~v19(constB92)) | (~v22(constB92)))) | (~v19(constB92)) | (~v22(constB92))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32909,plain,
% 8.28/6.43 ((~((~v19(constB92)) | (~v22(constB92)))) | (~v19(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32908, 32907])).
% 8.28/6.43 tff(32910,plain,
% 8.28/6.43 (~v19(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32909, 32900])).
% 8.28/6.43 tff(32911,plain,
% 8.28/6.43 ((~(v19(constB92) <=> (v20(constB92) | v21(constB92)))) | v19(constB92) | (~(v20(constB92) | v21(constB92)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32912,plain,
% 8.28/6.43 (~(v20(constB92) | v21(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32911, 32910, 32890])).
% 8.28/6.43 tff(32913,plain,
% 8.28/6.43 ((v20(constB92) | v21(constB92)) | (~v21(constB92))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32914,plain,
% 8.28/6.43 (~v21(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32913, 32912])).
% 8.28/6.43 tff(32915,plain,
% 8.28/6.43 ((~((~v21(constB92)) <=> v6(constB92))) | v21(constB92) | v6(constB92)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32916,plain,
% 8.28/6.43 (v6(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32915, 32914, 32888])).
% 8.28/6.43 tff(32917,plain,
% 8.28/6.43 ((~(v6(constB92) <=> v13(constB92))) | (~v6(constB92)) | v13(constB92)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32918,plain,
% 8.28/6.43 (v13(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32917, 32916, 32886])).
% 8.28/6.43 tff(32919,plain,
% 8.28/6.43 ((~(v13(constB92) <=> v9(constB91))) | (~v13(constB92)) | v9(constB91)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32920,plain,
% 8.28/6.43 (v9(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32919, 32918, 32884])).
% 8.28/6.43 tff(32921,plain,
% 8.28/6.43 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB91)) <=> v1(constB91))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32922,plain,
% 8.28/6.43 ((~v39(constB91)) <=> v1(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32921, 129])).
% 8.28/6.43 tff(32923,plain,
% 8.28/6.43 ((~((~v39(constB91)) <=> v1(constB91))) | v39(constB91) | v1(constB91)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32924,plain,
% 8.28/6.43 ((~((~v39(constB91)) <=> v1(constB91))) | v39(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32923, 983])).
% 8.28/6.43 tff(32925,plain,
% 8.28/6.43 (v39(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32924, 32922])).
% 8.28/6.43 tff(32926,plain,
% 8.28/6.43 ((~((~v39(constB91)) | (~v9(constB91)))) | (~v39(constB91)) | (~v9(constB91))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32927,plain,
% 8.28/6.43 ((~((~v39(constB91)) | (~v9(constB91)))) | (~v9(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32926, 32925])).
% 8.28/6.43 tff(32928,plain,
% 8.28/6.43 (~((~v39(constB91)) | (~v9(constB91)))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32927, 32920])).
% 8.28/6.43 tff(32929,plain,
% 8.28/6.43 ((~(v184(constB91) <=> (~((~v39(constB91)) | (~v9(constB91)))))) | v184(constB91) | ((~v39(constB91)) | (~v9(constB91)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32930,plain,
% 8.28/6.43 (v184(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32929, 32928, 32880])).
% 8.28/6.43 tff(32931,plain,
% 8.28/6.43 ((v184(constB91) | v26(constB91)) | (~v184(constB91))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32932,plain,
% 8.28/6.43 (v184(constB91) | v26(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32931, 32930])).
% 8.28/6.43 tff(32933,plain,
% 8.28/6.43 ((~(v183(constB91) <=> (v184(constB91) | v26(constB91)))) | v183(constB91) | (~(v184(constB91) | v26(constB91)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32934,plain,
% 8.28/6.43 (v183(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32933, 32932, 32878])).
% 8.28/6.43 tff(32935,plain,
% 8.28/6.43 ((~((~v182(constB91)) <=> v183(constB91))) | (~v182(constB91)) | (~v183(constB91))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32936,plain,
% 8.28/6.43 (~v182(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32935, 32934, 32876])).
% 8.28/6.43 tff(32937,plain,
% 8.28/6.43 (((~v157(constB91)) | (~v182(constB91))) | v182(constB91)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32938,plain,
% 8.28/6.43 ((~v157(constB91)) | (~v182(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32937, 32936])).
% 8.28/6.43 tff(32939,plain,
% 8.28/6.43 ((~(v181(constB91) <=> (~((~v157(constB91)) | (~v182(constB91)))))) | (~v181(constB91)) | (~((~v157(constB91)) | (~v182(constB91))))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32940,plain,
% 8.28/6.43 (~v181(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32939, 32938, 32874])).
% 8.28/6.43 tff(32941,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB91) <=> (~((~v186(constB91)) | (~v187(constB91)))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32942,plain,
% 8.28/6.43 (v185(constB91) <=> (~((~v186(constB91)) | (~v187(constB91))))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32941, 96])).
% 8.28/6.43 tff(32943,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB91) <=> (~((~v184(constB91)) | (~v159(constB91)))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32944,plain,
% 8.28/6.43 (v187(constB91) <=> (~((~v184(constB91)) | (~v159(constB91))))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32943, 108])).
% 8.28/6.43 tff(32945,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB91) <=> v161(constB91))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32946,plain,
% 8.28/6.43 (v159(constB91) <=> v161(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32945, 345])).
% 8.28/6.43 tff(32947,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB91) <=> (v145(constB91) | v165(constB91)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32948,plain,
% 8.28/6.43 (v164(constB91) <=> (v145(constB91) | v165(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32947, 357])).
% 8.28/6.43 tff(32949,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB91) <=> (v142(constB91) | v166(constB91)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32950,plain,
% 8.28/6.43 (v165(constB91) <=> (v142(constB91) | v166(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32949, 369])).
% 8.28/6.43 tff(32951,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB91) <=> (v141(constB91) | v167(constB91)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32952,plain,
% 8.28/6.43 (v166(constB91) <=> (v141(constB91) | v167(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32951, 381])).
% 8.28/6.43 tff(32953,plain,
% 8.28/6.43 (((~![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))))))),
% 8.28/6.43 inference(rewrite,[status(thm)],[])).
% 8.28/6.43 tff(32954,plain,
% 8.28/6.43 ((v141(constB91) <=> (~(v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0))))) <=> (v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))),
% 8.28/6.43 inference(rewrite,[status(thm)],[])).
% 8.28/6.43 tff(32955,plain,
% 8.28/6.43 (((~![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))))))),
% 8.28/6.43 inference(monotonicity,[status(thm)],[32954])).
% 8.28/6.43 tff(32956,plain,
% 8.28/6.43 (((~![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))))))),
% 8.28/6.43 inference(transitivity,[status(thm)],[32955, 32953])).
% 8.28/6.43 tff(32957,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB91) <=> (~(v88(constB91, bitIndex2) | (~v88(constB91, bitIndex1)) | (~v88(constB91, bitIndex0)))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32958,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))),
% 8.28/6.43 inference(modus_ponens,[status(thm)],[32957, 32956])).
% 8.28/6.43 tff(32959,plain,
% 8.28/6.43 (v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32958, 396])).
% 8.28/6.43 tff(32960,plain,
% 8.28/6.43 ((~![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))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32961,plain,
% 8.28/6.43 (~(((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)) | ((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)) | ((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0)))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32960, 416])).
% 8.28/6.43 tff(32962,plain,
% 8.28/6.43 ((((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)) | ((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)) | ((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0))) | (~((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32963,plain,
% 8.28/6.43 (~((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32962, 32961])).
% 8.28/6.43 tff(32964,plain,
% 8.28/6.43 (((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)) | (~v88(constB91, bitIndex2)) | v90(constB91, bitIndex2)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32965,plain,
% 8.28/6.43 (~v88(constB91, bitIndex2)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32964, 11120, 32963])).
% 8.28/6.43 tff(32966,plain,
% 8.28/6.43 ((((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)) | ((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)) | ((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0))) | (~((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32967,plain,
% 8.28/6.43 (~((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32966, 32961])).
% 8.28/6.43 tff(32968,plain,
% 8.28/6.43 (((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0)) | v88(constB91, bitIndex0) | (~v90(constB91, bitIndex0))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32969,plain,
% 8.28/6.43 (v88(constB91, bitIndex0)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32968, 11138, 32967])).
% 8.28/6.43 tff(32970,plain,
% 8.28/6.43 ((((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)) | ((~v88(constB91, bitIndex2)) <=> v90(constB91, bitIndex2)) | ((~v88(constB91, bitIndex0)) <=> v90(constB91, bitIndex0))) | (~((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32971,plain,
% 8.28/6.43 (~((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32970, 32961])).
% 8.28/6.43 tff(32972,plain,
% 8.28/6.43 (((~v88(constB91, bitIndex1)) <=> v90(constB91, bitIndex1)) | v88(constB91, bitIndex1) | (~v90(constB91, bitIndex1))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32973,plain,
% 8.28/6.43 (v88(constB91, bitIndex1)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32972, 11156, 32971])).
% 8.28/6.43 tff(32974,plain,
% 8.28/6.43 ((~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))) | (~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32975,plain,
% 8.28/6.43 (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32974, 32973, 32969, 32965])).
% 8.28/6.43 tff(32976,plain,
% 8.28/6.43 ((~(v141(constB91) <=> (~((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))) | v141(constB91) | ((~v88(constB91, bitIndex1)) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32977,plain,
% 8.28/6.43 (v141(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32976, 32975, 32959])).
% 8.28/6.43 tff(32978,plain,
% 8.28/6.43 ((v141(constB91) | v167(constB91)) | (~v141(constB91))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32979,plain,
% 8.28/6.43 (v141(constB91) | v167(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32978, 32977])).
% 8.28/6.43 tff(32980,plain,
% 8.28/6.43 ((~(v166(constB91) <=> (v141(constB91) | v167(constB91)))) | v166(constB91) | (~(v141(constB91) | v167(constB91)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32981,plain,
% 8.28/6.43 (v166(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32980, 32979, 32952])).
% 8.28/6.43 tff(32982,plain,
% 8.28/6.43 ((v142(constB91) | v166(constB91)) | (~v166(constB91))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32983,plain,
% 8.28/6.43 (v142(constB91) | v166(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32982, 32981])).
% 8.28/6.43 tff(32984,plain,
% 8.28/6.43 ((~(v165(constB91) <=> (v142(constB91) | v166(constB91)))) | v165(constB91) | (~(v142(constB91) | v166(constB91)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32985,plain,
% 8.28/6.43 ((~(v165(constB91) <=> (v142(constB91) | v166(constB91)))) | v165(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32984, 32983])).
% 8.28/6.43 tff(32986,plain,
% 8.28/6.43 (v165(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32985, 32950])).
% 8.28/6.43 tff(32987,plain,
% 8.28/6.43 ((v145(constB91) | v165(constB91)) | (~v165(constB91))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32988,plain,
% 8.28/6.43 (v145(constB91) | v165(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32987, 32986])).
% 8.28/6.43 tff(32989,plain,
% 8.28/6.43 ((~(v164(constB91) <=> (v145(constB91) | v165(constB91)))) | v164(constB91) | (~(v145(constB91) | v165(constB91)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32990,plain,
% 8.28/6.43 (v164(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32989, 32988, 32948])).
% 8.28/6.43 tff(32991,plain,
% 8.28/6.43 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB91)) | (v161(constB91) <=> v168(constB91)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB91)) | (v161(constB91) <=> v168(constB91)))),
% 8.28/6.43 inference(rewrite,[status(thm)],[])).
% 8.28/6.43 tff(32992,plain,
% 8.28/6.43 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB91)) | (v161(constB91) <=> v168(constB91)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32993,plain,
% 8.28/6.43 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB91)) | (v161(constB91) <=> v168(constB91))),
% 8.28/6.43 inference(modus_ponens,[status(thm)],[32992, 32991])).
% 8.28/6.43 tff(32994,plain,
% 8.28/6.43 ((~v164(constB91)) | (v161(constB91) <=> v168(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32993, 12128])).
% 8.28/6.43 tff(32995,plain,
% 8.28/6.43 (v161(constB91) <=> v168(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32994, 32990])).
% 8.28/6.43 tff(32996,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB91) <=> (~(v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(32997,plain,
% 8.28/6.43 (v139(constB91) <=> (~(v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2)))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32996, 12146])).
% 8.28/6.43 tff(32998,plain,
% 8.28/6.43 ((v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2)) | (~v88(constB91, bitIndex0))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(32999,plain,
% 8.28/6.43 (v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[32998, 32969])).
% 8.28/6.43 tff(33000,plain,
% 8.28/6.43 ((~(v139(constB91) <=> (~(v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2))))) | (~v139(constB91)) | (~(v88(constB91, bitIndex0) | v88(constB91, bitIndex1) | v88(constB91, bitIndex2)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33001,plain,
% 8.28/6.43 (~v139(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33000, 32999, 32997])).
% 8.28/6.43 tff(33002,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB91) <=> (~(v88(constB91, bitIndex1) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(33003,plain,
% 8.28/6.43 (v140(constB91) <=> (~(v88(constB91, bitIndex1) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33002, 12165])).
% 8.28/6.43 tff(33004,plain,
% 8.28/6.43 ((v88(constB91, bitIndex1) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))) | (~v88(constB91, bitIndex1))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33005,plain,
% 8.28/6.43 (v88(constB91, bitIndex1) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33004, 32973])).
% 8.28/6.43 tff(33006,plain,
% 8.28/6.43 ((~(v140(constB91) <=> (~(v88(constB91, bitIndex1) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0)))))) | (~v140(constB91)) | (~(v88(constB91, bitIndex1) | v88(constB91, bitIndex2) | (~v88(constB91, bitIndex0))))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33007,plain,
% 8.28/6.43 (~v140(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33006, 33005, 33003])).
% 8.28/6.43 tff(33008,plain,
% 8.28/6.43 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB91) | v139(constB91) | (~v168(constB91)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB91) | v139(constB91) | (~v168(constB91)))),
% 8.28/6.43 inference(rewrite,[status(thm)],[])).
% 8.28/6.43 tff(33009,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB91) | v139(constB91) | (~v168(constB91)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(33010,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB91) | v139(constB91) | (~v168(constB91))),
% 8.28/6.43 inference(modus_ponens,[status(thm)],[33009, 33008])).
% 8.28/6.43 tff(33011,plain,
% 8.28/6.43 (v140(constB91) | v139(constB91) | (~v168(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33010, 12184])).
% 8.28/6.43 tff(33012,plain,
% 8.28/6.43 (~v168(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33011, 33007, 33001])).
% 8.28/6.43 tff(33013,plain,
% 8.28/6.43 ((~(v161(constB91) <=> v168(constB91))) | (~v161(constB91)) | v168(constB91)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33014,plain,
% 8.28/6.43 ((~(v161(constB91) <=> v168(constB91))) | (~v161(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33013, 33012])).
% 8.28/6.43 tff(33015,plain,
% 8.28/6.43 (~v161(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33014, 32995])).
% 8.28/6.43 tff(33016,plain,
% 8.28/6.43 ((~(v159(constB91) <=> v161(constB91))) | (~v159(constB91)) | v161(constB91)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33017,plain,
% 8.28/6.43 ((~(v159(constB91) <=> v161(constB91))) | (~v159(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33016, 33015])).
% 8.28/6.43 tff(33018,plain,
% 8.28/6.43 (~v159(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33017, 32946])).
% 8.28/6.43 tff(33019,plain,
% 8.28/6.43 (((~v184(constB91)) | (~v159(constB91))) | v159(constB91)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33020,plain,
% 8.28/6.43 ((~v184(constB91)) | (~v159(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33019, 33018])).
% 8.28/6.43 tff(33021,plain,
% 8.28/6.43 ((~(v187(constB91) <=> (~((~v184(constB91)) | (~v159(constB91)))))) | (~v187(constB91)) | (~((~v184(constB91)) | (~v159(constB91))))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33022,plain,
% 8.28/6.43 (~v187(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33021, 33020, 32944])).
% 8.28/6.43 tff(33023,plain,
% 8.28/6.43 (((~v186(constB91)) | (~v187(constB91))) | v187(constB91)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33024,plain,
% 8.28/6.43 ((~v186(constB91)) | (~v187(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33023, 33022])).
% 8.28/6.43 tff(33025,plain,
% 8.28/6.43 ((~(v185(constB91) <=> (~((~v186(constB91)) | (~v187(constB91)))))) | (~v185(constB91)) | (~((~v186(constB91)) | (~v187(constB91))))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33026,plain,
% 8.28/6.43 (~v185(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33025, 33024, 32942])).
% 8.28/6.43 tff(33027,plain,
% 8.28/6.43 ((~(v181(constB91) | v185(constB91))) | v181(constB91) | v185(constB91)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33028,plain,
% 8.28/6.43 (~(v181(constB91) | v185(constB91))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33027, 33026, 32940])).
% 8.28/6.43 tff(33029,plain,
% 8.28/6.43 ((~(v178(constB91) <=> (v181(constB91) | v185(constB91)))) | (~v178(constB91)) | (v181(constB91) | v185(constB91))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33030,plain,
% 8.28/6.43 (~v178(constB91)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33029, 33028, 32867])).
% 8.28/6.43 tff(33031,plain,
% 8.28/6.43 ((~(v180(constB92) <=> v178(constB91))) | (~v180(constB92)) | v178(constB91)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33032,plain,
% 8.28/6.43 (~v180(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33031, 33030, 32865])).
% 8.28/6.43 tff(33033,plain,
% 8.28/6.43 ((~(v157(constB92) <=> v180(constB92))) | (~v157(constB92)) | v180(constB92)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33034,plain,
% 8.28/6.43 (~v157(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33033, 33032, 32861])).
% 8.28/6.43 tff(33035,plain,
% 8.28/6.43 (((~v157(constB92)) | (~v182(constB92))) | v157(constB92)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33036,plain,
% 8.28/6.43 ((~v157(constB92)) | (~v182(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33035, 33034])).
% 8.28/6.43 tff(33037,plain,
% 8.28/6.43 ((~(v181(constB92) <=> (~((~v157(constB92)) | (~v182(constB92)))))) | (~v181(constB92)) | (~((~v157(constB92)) | (~v182(constB92))))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33038,plain,
% 8.28/6.43 (~v181(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33037, 33036, 32859])).
% 8.28/6.43 tff(33039,plain,
% 8.28/6.43 ((~(v181(constB92) | v185(constB92))) | v181(constB92) | v185(constB92)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33040,plain,
% 8.28/6.43 (~(v181(constB92) | v185(constB92))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33039, 33038, 32852])).
% 8.28/6.43 tff(33041,plain,
% 8.28/6.43 ((~(v178(constB92) <=> (v181(constB92) | v185(constB92)))) | (~v178(constB92)) | (v181(constB92) | v185(constB92))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33042,plain,
% 8.28/6.43 (~v178(constB92)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33041, 33040, 32827])).
% 8.28/6.43 tff(33043,plain,
% 8.28/6.43 ((~(v180(constB93) <=> v178(constB92))) | (~v180(constB93)) | v178(constB92)),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33044,plain,
% 8.28/6.43 (~v180(constB93)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33043, 33042, 32825])).
% 8.28/6.43 tff(33045,plain,
% 8.28/6.43 ($false),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33044, 32821])).
% 8.28/6.43 tff(33046,plain,(~(constB93 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.28/6.43 tff(33047,assumption,(constB125 = VarCurr!0), introduced(assumption)).
% 8.28/6.43 tff(33048,plain,
% 8.28/6.43 (v86(constB125) <=> v86(VarCurr!0)),
% 8.28/6.43 inference(monotonicity,[status(thm)],[33047])).
% 8.28/6.43 tff(33049,plain,
% 8.28/6.43 (v86(VarCurr!0) <=> v86(constB125)),
% 8.28/6.43 inference(symmetry,[status(thm)],[33048])).
% 8.28/6.43 tff(33050,plain,
% 8.28/6.43 ((~v86(VarCurr!0)) <=> (~v86(constB125))),
% 8.28/6.43 inference(monotonicity,[status(thm)],[33049])).
% 8.28/6.43 tff(33051,plain,
% 8.28/6.43 (~v86(constB125)),
% 8.28/6.43 inference(modus_ponens,[status(thm)],[21766, 33050])).
% 8.28/6.43 tff(33052,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB125) <=> (v136(constB125) | v145(constB125)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(33053,plain,
% 8.28/6.43 (v135(constB125) <=> (v136(constB125) | v145(constB125))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33052, 21774])).
% 8.28/6.43 tff(33054,plain,
% 8.28/6.43 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB125) <=> (v137(constB125) | v142(constB125)))),
% 8.28/6.43 inference(quant_inst,[status(thm)],[])).
% 8.28/6.43 tff(33055,plain,
% 8.28/6.43 (v136(constB125) <=> (v137(constB125) | v142(constB125))),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33054, 21783])).
% 8.28/6.43 tff(33056,plain,
% 8.28/6.43 ((v137(constB125) | v142(constB125)) | (~v142(constB125))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33057,plain,
% 8.28/6.43 (v137(constB125) | v142(constB125)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33056, 32325])).
% 8.28/6.43 tff(33058,plain,
% 8.28/6.43 ((~(v136(constB125) <=> (v137(constB125) | v142(constB125)))) | v136(constB125) | (~(v137(constB125) | v142(constB125)))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33059,plain,
% 8.28/6.43 ((~(v136(constB125) <=> (v137(constB125) | v142(constB125)))) | v136(constB125)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33058, 33057])).
% 8.28/6.43 tff(33060,plain,
% 8.28/6.43 (v136(constB125)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33059, 33055])).
% 8.28/6.43 tff(33061,plain,
% 8.28/6.43 ((v136(constB125) | v145(constB125)) | (~v136(constB125))),
% 8.28/6.43 inference(tautology,[status(thm)],[])).
% 8.28/6.43 tff(33062,plain,
% 8.28/6.43 (v136(constB125) | v145(constB125)),
% 8.28/6.43 inference(unit_resolution,[status(thm)],[33061, 33060])).
% 8.28/6.43 tff(33063,plain,
% 8.28/6.43 ((~(v135(constB125) <=> (v136(constB125) | v145(constB125)))) | v135(constB125) | (~(v136(constB125) | v145(constB125)))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33064,plain,
% 8.28/6.44 (v135(constB125)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33063, 33062, 33053])).
% 8.28/6.44 tff(33065,plain,
% 8.28/6.44 (((~![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)))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33066,plain,
% 8.28/6.44 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB125)) | (v86(constB125) <=> v148(constB125)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33067,plain,
% 8.28/6.44 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB125)) | (v86(constB125) <=> v148(constB125))),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[33066, 33065])).
% 8.28/6.44 tff(33068,plain,
% 8.28/6.44 (v86(constB125) <=> v148(constB125)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33067, 21855, 33064])).
% 8.28/6.44 tff(33069,plain,
% 8.28/6.44 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125)))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33070,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB125) | (~v142(constB125)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33071,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB125) | (~v142(constB125))),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[33070, 33069])).
% 8.28/6.44 tff(33072,plain,
% 8.28/6.44 (v148(constB125)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33071, 21869, 32325])).
% 8.28/6.44 tff(33073,plain,
% 8.28/6.44 ((~(v86(constB125) <=> v148(constB125))) | v86(constB125) | (~v148(constB125))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33074,plain,
% 8.28/6.44 ((~(v86(constB125) <=> v148(constB125))) | v86(constB125)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33073, 33072])).
% 8.28/6.44 tff(33075,plain,
% 8.28/6.44 (v86(constB125)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33074, 33068])).
% 8.28/6.44 tff(33076,plain,
% 8.28/6.44 ($false),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33075, 33051])).
% 8.28/6.44 tff(33077,plain,(~(constB125 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.28/6.44 tff(33078,assumption,(constB139 = VarCurr!0), introduced(assumption)).
% 8.28/6.44 tff(33079,plain,
% 8.28/6.44 (v180(constB139) <=> v180(VarCurr!0)),
% 8.28/6.44 inference(monotonicity,[status(thm)],[33078])).
% 8.28/6.44 tff(33080,plain,
% 8.28/6.44 (v180(VarCurr!0) <=> v180(constB139)),
% 8.28/6.44 inference(symmetry,[status(thm)],[33079])).
% 8.28/6.44 tff(33081,plain,
% 8.28/6.44 (v180(constB139)),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[59, 33080])).
% 8.28/6.44 tff(33082,plain,
% 8.28/6.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB138, constB139)) | (v180(constB139) <=> v178(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB138, constB139)) | (v180(constB139) <=> v178(constB138)))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33083,plain,
% 8.28/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB138, constB139)) | (v180(constB139) <=> v178(constB138)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33084,plain,
% 8.28/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB138, constB139)) | (v180(constB139) <=> v178(constB138))),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[33083, 33082])).
% 8.28/6.44 tff(33085,plain,
% 8.28/6.44 (v180(constB139) <=> v178(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33084, 13925, 70])).
% 8.28/6.44 tff(33086,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB138) <=> (v181(constB138) | v185(constB138)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33087,plain,
% 8.28/6.44 (v178(constB138) <=> (v181(constB138) | v185(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33086, 84])).
% 8.28/6.44 tff(33088,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB138) <=> (~((~v186(constB138)) | (~v187(constB138)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33089,plain,
% 8.28/6.44 (v185(constB138) <=> (~((~v186(constB138)) | (~v187(constB138))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33088, 96])).
% 8.28/6.44 tff(33090,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB138) <=> (~((~v184(constB138)) | (~v159(constB138)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33091,plain,
% 8.28/6.44 (v187(constB138) <=> (~((~v184(constB138)) | (~v159(constB138))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33090, 108])).
% 8.28/6.44 tff(33092,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33093,plain,
% 8.28/6.44 (v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33092, 120])).
% 8.28/6.44 tff(33094,plain,
% 8.28/6.44 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB138)) <=> v1(constB138))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33095,plain,
% 8.28/6.44 ((~v39(constB138)) <=> v1(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33094, 129])).
% 8.28/6.44 tff(33096,plain,
% 8.28/6.44 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138)) | (~v1(constB138))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33097,plain,
% 8.28/6.44 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33096, 17763])).
% 8.28/6.44 tff(33098,plain,
% 8.28/6.44 (~v39(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33097, 33095])).
% 8.28/6.44 tff(33099,plain,
% 8.28/6.44 (((~v39(constB138)) | (~v9(constB138))) | v39(constB138)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33100,plain,
% 8.28/6.44 ((~v39(constB138)) | (~v9(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33099, 33098])).
% 8.28/6.44 tff(33101,plain,
% 8.28/6.44 ((~(v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v184(constB138)) | (~((~v39(constB138)) | (~v9(constB138))))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33102,plain,
% 8.28/6.44 ((~(v184(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v184(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33101, 33100])).
% 8.28/6.44 tff(33103,plain,
% 8.28/6.44 (~v184(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33102, 33093])).
% 8.28/6.44 tff(33104,plain,
% 8.28/6.44 (((~v184(constB138)) | (~v159(constB138))) | v184(constB138)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33105,plain,
% 8.28/6.44 ((~v184(constB138)) | (~v159(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33104, 33103])).
% 8.28/6.44 tff(33106,plain,
% 8.28/6.44 ((~(v187(constB138) <=> (~((~v184(constB138)) | (~v159(constB138)))))) | (~v187(constB138)) | (~((~v184(constB138)) | (~v159(constB138))))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33107,plain,
% 8.28/6.44 ((~(v187(constB138) <=> (~((~v184(constB138)) | (~v159(constB138)))))) | (~v187(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33106, 33105])).
% 8.28/6.44 tff(33108,plain,
% 8.28/6.44 (~v187(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33107, 33091])).
% 8.28/6.44 tff(33109,plain,
% 8.28/6.44 (((~v186(constB138)) | (~v187(constB138))) | v187(constB138)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33110,plain,
% 8.28/6.44 ((~v186(constB138)) | (~v187(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33109, 33108])).
% 8.28/6.44 tff(33111,plain,
% 8.28/6.44 ((~(v185(constB138) <=> (~((~v186(constB138)) | (~v187(constB138)))))) | (~v185(constB138)) | (~((~v186(constB138)) | (~v187(constB138))))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33112,plain,
% 8.28/6.44 (~v185(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33111, 33110, 33089])).
% 8.28/6.44 tff(33113,plain,
% 8.28/6.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138))))))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33114,plain,
% 8.28/6.44 ((v181(constB138) <=> (~((~v182(constB138)) | (~v157(constB138))))) <=> (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138)))))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33115,plain,
% 8.28/6.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v182(constB138)) | (~v157(constB138)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138))))))),
% 8.28/6.44 inference(monotonicity,[status(thm)],[33114])).
% 8.28/6.44 tff(33116,plain,
% 8.28/6.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v182(constB138)) | (~v157(constB138)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138))))))),
% 8.28/6.44 inference(transitivity,[status(thm)],[33115, 33113])).
% 8.28/6.44 tff(33117,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v182(constB138)) | (~v157(constB138)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33118,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138)))))),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[33117, 33116])).
% 8.28/6.44 tff(33119,plain,
% 8.28/6.44 (v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33118, 161])).
% 8.28/6.44 tff(33120,plain,
% 8.28/6.44 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB138) <=> v180(constB138))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33121,plain,
% 8.28/6.44 (v157(constB138) <=> v180(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33120, 13])).
% 8.28/6.44 tff(33122,plain,
% 8.28/6.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB137, constB138)) | (v180(constB138) <=> v178(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB137, constB138)) | (v180(constB138) <=> v178(constB137)))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33123,plain,
% 8.28/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB137, constB138)) | (v180(constB138) <=> v178(constB137)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33124,plain,
% 8.28/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB137, constB138)) | (v180(constB138) <=> v178(constB137))),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[33123, 33122])).
% 8.28/6.44 tff(33125,plain,
% 8.28/6.44 (v180(constB138) <=> v178(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33124, 13961, 70])).
% 8.28/6.44 tff(33126,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB137) <=> (v181(constB137) | v185(constB137)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33127,plain,
% 8.28/6.44 (v178(constB137) <=> (v181(constB137) | v185(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33126, 84])).
% 8.28/6.44 tff(33128,plain,
% 8.28/6.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137))))))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33129,plain,
% 8.28/6.44 ((v181(constB137) <=> (~((~v182(constB137)) | (~v157(constB137))))) <=> (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137)))))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33130,plain,
% 8.28/6.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v182(constB137)) | (~v157(constB137)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137))))))),
% 8.28/6.44 inference(monotonicity,[status(thm)],[33129])).
% 8.28/6.44 tff(33131,plain,
% 8.28/6.44 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v182(constB137)) | (~v157(constB137)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137))))))),
% 8.28/6.44 inference(transitivity,[status(thm)],[33130, 33128])).
% 8.28/6.44 tff(33132,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v182(constB137)) | (~v157(constB137)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33133,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137)))))),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[33132, 33131])).
% 8.28/6.44 tff(33134,plain,
% 8.28/6.44 (v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33133, 161])).
% 8.28/6.44 tff(33135,plain,
% 8.28/6.44 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB137)) <=> v183(constB137))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33136,plain,
% 8.28/6.44 ((~v182(constB137)) <=> v183(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33135, 193])).
% 8.28/6.44 tff(33137,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB137) <=> (v184(constB137) | v26(constB137)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33138,plain,
% 8.28/6.44 (v183(constB137) <=> (v184(constB137) | v26(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33137, 202])).
% 8.28/6.44 tff(33139,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB137) <=> (~((~v39(constB137)) | (~v9(constB137)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33140,plain,
% 8.28/6.44 (v184(constB137) <=> (~((~v39(constB137)) | (~v9(constB137))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33139, 120])).
% 8.28/6.44 tff(33141,plain,
% 8.28/6.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137)))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33142,plain,
% 8.28/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33143,plain,
% 8.28/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137))),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[33142, 33141])).
% 8.28/6.44 tff(33144,plain,
% 8.28/6.44 (v13(constB138) <=> v9(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33143, 13961, 216])).
% 8.28/6.44 tff(33145,plain,
% 8.28/6.44 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB138) <=> v13(constB138))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33146,plain,
% 8.28/6.44 (v6(constB138) <=> v13(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33145, 230])).
% 8.28/6.44 tff(33147,plain,
% 8.28/6.44 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB138)) <=> v6(constB138))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33148,plain,
% 8.28/6.44 ((~v21(constB138)) <=> v6(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33147, 239])).
% 8.28/6.44 tff(33149,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB138) <=> (v20(constB138) | v21(constB138)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33150,plain,
% 8.28/6.44 (v19(constB138) <=> (v20(constB138) | v21(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33149, 248])).
% 8.28/6.44 tff(33151,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33152,plain,
% 8.28/6.44 (v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33151, 260])).
% 8.28/6.44 tff(33153,plain,
% 8.28/6.44 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB138)) <=> v18(constB138))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33154,plain,
% 8.28/6.44 ((~v4(constB138)) <=> v18(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33153, 269])).
% 8.28/6.44 tff(33155,plain,
% 8.28/6.44 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB138)),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33156,plain,
% 8.28/6.44 (v4(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33155, 278])).
% 8.28/6.44 tff(33157,plain,
% 8.28/6.44 ((~((~v4(constB138)) <=> v18(constB138))) | (~v4(constB138)) | (~v18(constB138))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33158,plain,
% 8.28/6.44 (~v18(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33157, 33156, 33154])).
% 8.28/6.44 tff(33159,plain,
% 8.28/6.44 ((~(v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138)))))) | v18(constB138) | ((~v19(constB138)) | (~v22(constB138)))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33160,plain,
% 8.28/6.44 ((~v19(constB138)) | (~v22(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33159, 33158, 33152])).
% 8.28/6.44 tff(33161,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB138) <=> (v1(constB138) | v6(constB138)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33162,plain,
% 8.28/6.44 (v22(constB138) <=> (v1(constB138) | v6(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33161, 291])).
% 8.28/6.44 tff(33163,plain,
% 8.28/6.44 ((v1(constB138) | v6(constB138)) | (~v1(constB138))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33164,plain,
% 8.28/6.44 (v1(constB138) | v6(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33163, 17763])).
% 8.28/6.44 tff(33165,plain,
% 8.28/6.44 ((~(v22(constB138) <=> (v1(constB138) | v6(constB138)))) | v22(constB138) | (~(v1(constB138) | v6(constB138)))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33166,plain,
% 8.28/6.44 ((~(v22(constB138) <=> (v1(constB138) | v6(constB138)))) | v22(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33165, 33164])).
% 8.28/6.44 tff(33167,plain,
% 8.28/6.44 (v22(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33166, 33162])).
% 8.28/6.44 tff(33168,plain,
% 8.28/6.44 ((~((~v19(constB138)) | (~v22(constB138)))) | (~v19(constB138)) | (~v22(constB138))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33169,plain,
% 8.28/6.44 ((~((~v19(constB138)) | (~v22(constB138)))) | (~v19(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33168, 33167])).
% 8.28/6.44 tff(33170,plain,
% 8.28/6.44 (~v19(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33169, 33160])).
% 8.28/6.44 tff(33171,plain,
% 8.28/6.44 ((~(v19(constB138) <=> (v20(constB138) | v21(constB138)))) | v19(constB138) | (~(v20(constB138) | v21(constB138)))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33172,plain,
% 8.28/6.44 (~(v20(constB138) | v21(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33171, 33170, 33150])).
% 8.28/6.44 tff(33173,plain,
% 8.28/6.44 ((v20(constB138) | v21(constB138)) | (~v21(constB138))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33174,plain,
% 8.28/6.44 (~v21(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33173, 33172])).
% 8.28/6.44 tff(33175,plain,
% 8.28/6.44 ((~((~v21(constB138)) <=> v6(constB138))) | v21(constB138) | v6(constB138)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33176,plain,
% 8.28/6.44 (v6(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33175, 33174, 33148])).
% 8.28/6.44 tff(33177,plain,
% 8.28/6.44 ((~(v6(constB138) <=> v13(constB138))) | (~v6(constB138)) | v13(constB138)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33178,plain,
% 8.28/6.44 (v13(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33177, 33176, 33146])).
% 8.28/6.44 tff(33179,plain,
% 8.28/6.44 ((~(v13(constB138) <=> v9(constB137))) | (~v13(constB138)) | v9(constB137)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33180,plain,
% 8.28/6.44 (v9(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33179, 33178, 33144])).
% 8.28/6.44 tff(33181,plain,
% 8.28/6.44 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB137)) <=> v1(constB137))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33182,plain,
% 8.28/6.44 ((~v39(constB137)) <=> v1(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33181, 129])).
% 8.28/6.44 tff(33183,plain,
% 8.28/6.44 ((~((~v39(constB137)) <=> v1(constB137))) | v39(constB137) | v1(constB137)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33184,plain,
% 8.28/6.44 ((~((~v39(constB137)) <=> v1(constB137))) | v39(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33183, 14005])).
% 8.28/6.44 tff(33185,plain,
% 8.28/6.44 (v39(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33184, 33182])).
% 8.28/6.44 tff(33186,plain,
% 8.28/6.44 ((~((~v39(constB137)) | (~v9(constB137)))) | (~v39(constB137)) | (~v9(constB137))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33187,plain,
% 8.28/6.44 ((~((~v39(constB137)) | (~v9(constB137)))) | (~v9(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33186, 33185])).
% 8.28/6.44 tff(33188,plain,
% 8.28/6.44 (~((~v39(constB137)) | (~v9(constB137)))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33187, 33180])).
% 8.28/6.44 tff(33189,plain,
% 8.28/6.44 ((~(v184(constB137) <=> (~((~v39(constB137)) | (~v9(constB137)))))) | v184(constB137) | ((~v39(constB137)) | (~v9(constB137)))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33190,plain,
% 8.28/6.44 (v184(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33189, 33188, 33140])).
% 8.28/6.44 tff(33191,plain,
% 8.28/6.44 ((v184(constB137) | v26(constB137)) | (~v184(constB137))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33192,plain,
% 8.28/6.44 (v184(constB137) | v26(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33191, 33190])).
% 8.28/6.44 tff(33193,plain,
% 8.28/6.44 ((~(v183(constB137) <=> (v184(constB137) | v26(constB137)))) | v183(constB137) | (~(v184(constB137) | v26(constB137)))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33194,plain,
% 8.28/6.44 (v183(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33193, 33192, 33138])).
% 8.28/6.44 tff(33195,plain,
% 8.28/6.44 ((~((~v182(constB137)) <=> v183(constB137))) | (~v182(constB137)) | (~v183(constB137))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33196,plain,
% 8.28/6.44 (~v182(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33195, 33194, 33136])).
% 8.28/6.44 tff(33197,plain,
% 8.28/6.44 (((~v157(constB137)) | (~v182(constB137))) | v182(constB137)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33198,plain,
% 8.28/6.44 ((~v157(constB137)) | (~v182(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33197, 33196])).
% 8.28/6.44 tff(33199,plain,
% 8.28/6.44 ((~(v181(constB137) <=> (~((~v157(constB137)) | (~v182(constB137)))))) | (~v181(constB137)) | (~((~v157(constB137)) | (~v182(constB137))))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33200,plain,
% 8.28/6.44 (~v181(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33199, 33198, 33134])).
% 8.28/6.44 tff(33201,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB137) <=> (~((~v186(constB137)) | (~v187(constB137)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33202,plain,
% 8.28/6.44 (v185(constB137) <=> (~((~v186(constB137)) | (~v187(constB137))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33201, 96])).
% 8.28/6.44 tff(33203,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB137) <=> (~((~v184(constB137)) | (~v159(constB137)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33204,plain,
% 8.28/6.44 (v187(constB137) <=> (~((~v184(constB137)) | (~v159(constB137))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33203, 108])).
% 8.28/6.44 tff(33205,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB137) <=> v161(constB137))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33206,plain,
% 8.28/6.44 (v159(constB137) <=> v161(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33205, 345])).
% 8.28/6.44 tff(33207,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB137) <=> (v145(constB137) | v165(constB137)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33208,plain,
% 8.28/6.44 (v164(constB137) <=> (v145(constB137) | v165(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33207, 357])).
% 8.28/6.44 tff(33209,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB137) <=> (v142(constB137) | v166(constB137)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33210,plain,
% 8.28/6.44 (v165(constB137) <=> (v142(constB137) | v166(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33209, 369])).
% 8.28/6.44 tff(33211,plain,
% 8.28/6.44 ((v142(constB137) | v166(constB137)) | (~v142(constB137))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33212,plain,
% 8.28/6.44 (v142(constB137) | v166(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33211, 32139])).
% 8.28/6.44 tff(33213,plain,
% 8.28/6.44 ((~(v165(constB137) <=> (v142(constB137) | v166(constB137)))) | v165(constB137) | (~(v142(constB137) | v166(constB137)))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33214,plain,
% 8.28/6.44 ((~(v165(constB137) <=> (v142(constB137) | v166(constB137)))) | v165(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33213, 33212])).
% 8.28/6.44 tff(33215,plain,
% 8.28/6.44 (v165(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33214, 33210])).
% 8.28/6.44 tff(33216,plain,
% 8.28/6.44 ((v145(constB137) | v165(constB137)) | (~v165(constB137))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33217,plain,
% 8.28/6.44 (v145(constB137) | v165(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33216, 33215])).
% 8.28/6.44 tff(33218,plain,
% 8.28/6.44 ((~(v164(constB137) <=> (v145(constB137) | v165(constB137)))) | v164(constB137) | (~(v145(constB137) | v165(constB137)))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33219,plain,
% 8.28/6.44 (v164(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33218, 33217, 33208])).
% 8.28/6.44 tff(33220,plain,
% 8.28/6.44 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB137)) | (v161(constB137) <=> v168(constB137)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB137)) | (v161(constB137) <=> v168(constB137)))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33221,plain,
% 8.28/6.44 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB137)) | (v161(constB137) <=> v168(constB137)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33222,plain,
% 8.28/6.44 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB137)) | (v161(constB137) <=> v168(constB137))),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[33221, 33220])).
% 8.28/6.44 tff(33223,plain,
% 8.28/6.44 ((~v164(constB137)) | (v161(constB137) <=> v168(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33222, 12128])).
% 8.28/6.44 tff(33224,plain,
% 8.28/6.44 (v161(constB137) <=> v168(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33223, 33219])).
% 8.28/6.44 tff(33225,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33226,plain,
% 8.28/6.44 (v139(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33225, 12146])).
% 8.28/6.44 tff(33227,plain,
% 8.28/6.44 ((v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)) | (~v88(constB137, bitIndex1))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33228,plain,
% 8.28/6.44 (v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33227, 32131])).
% 8.28/6.44 tff(33229,plain,
% 8.28/6.44 ((~(v139(constB137) <=> (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2))))) | (~v139(constB137)) | (~(v88(constB137, bitIndex0) | v88(constB137, bitIndex1) | v88(constB137, bitIndex2)))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33230,plain,
% 8.28/6.44 (~v139(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33229, 33228, 33226])).
% 8.28/6.44 tff(33231,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB137) <=> (~(v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33232,plain,
% 8.28/6.44 (v140(constB137) <=> (~(v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33231, 12165])).
% 8.28/6.44 tff(33233,plain,
% 8.28/6.44 ((v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0))) | (~v88(constB137, bitIndex1))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33234,plain,
% 8.28/6.44 (v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33233, 32131])).
% 8.28/6.44 tff(33235,plain,
% 8.28/6.44 ((~(v140(constB137) <=> (~(v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0)))))) | (~v140(constB137)) | (~(v88(constB137, bitIndex1) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex0))))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33236,plain,
% 8.28/6.44 (~v140(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33235, 33234, 33232])).
% 8.28/6.44 tff(33237,plain,
% 8.28/6.44 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v168(constB137)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB137) | v140(constB137) | (~v168(constB137)))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33238,plain,
% 8.28/6.44 ((v140(constB137) | v139(constB137) | (~v168(constB137))) <=> (v139(constB137) | v140(constB137) | (~v168(constB137)))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33239,plain,
% 8.28/6.44 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB137) | v139(constB137) | (~v168(constB137)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB137) | v140(constB137) | (~v168(constB137))))),
% 8.28/6.44 inference(monotonicity,[status(thm)],[33238])).
% 8.28/6.44 tff(33240,plain,
% 8.28/6.44 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB137) | v139(constB137) | (~v168(constB137)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB137) | v140(constB137) | (~v168(constB137)))),
% 8.28/6.44 inference(transitivity,[status(thm)],[33239, 33237])).
% 8.28/6.44 tff(33241,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB137) | v139(constB137) | (~v168(constB137)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33242,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB137) | v140(constB137) | (~v168(constB137))),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[33241, 33240])).
% 8.28/6.44 tff(33243,plain,
% 8.28/6.44 (v139(constB137) | v140(constB137) | (~v168(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33242, 12184])).
% 8.28/6.44 tff(33244,plain,
% 8.28/6.44 (~v168(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33243, 33236, 33230])).
% 8.28/6.44 tff(33245,plain,
% 8.28/6.44 ((~(v161(constB137) <=> v168(constB137))) | (~v161(constB137)) | v168(constB137)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33246,plain,
% 8.28/6.44 ((~(v161(constB137) <=> v168(constB137))) | (~v161(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33245, 33244])).
% 8.28/6.44 tff(33247,plain,
% 8.28/6.44 (~v161(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33246, 33224])).
% 8.28/6.44 tff(33248,plain,
% 8.28/6.44 ((~(v159(constB137) <=> v161(constB137))) | (~v159(constB137)) | v161(constB137)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33249,plain,
% 8.28/6.44 ((~(v159(constB137) <=> v161(constB137))) | (~v159(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33248, 33247])).
% 8.28/6.44 tff(33250,plain,
% 8.28/6.44 (~v159(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33249, 33206])).
% 8.28/6.44 tff(33251,plain,
% 8.28/6.44 (((~v184(constB137)) | (~v159(constB137))) | v159(constB137)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33252,plain,
% 8.28/6.44 ((~v184(constB137)) | (~v159(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33251, 33250])).
% 8.28/6.44 tff(33253,plain,
% 8.28/6.44 ((~(v187(constB137) <=> (~((~v184(constB137)) | (~v159(constB137)))))) | (~v187(constB137)) | (~((~v184(constB137)) | (~v159(constB137))))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33254,plain,
% 8.28/6.44 (~v187(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33253, 33252, 33204])).
% 8.28/6.44 tff(33255,plain,
% 8.28/6.44 (((~v186(constB137)) | (~v187(constB137))) | v187(constB137)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33256,plain,
% 8.28/6.44 ((~v186(constB137)) | (~v187(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33255, 33254])).
% 8.28/6.44 tff(33257,plain,
% 8.28/6.44 ((~(v185(constB137) <=> (~((~v186(constB137)) | (~v187(constB137)))))) | (~v185(constB137)) | (~((~v186(constB137)) | (~v187(constB137))))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33258,plain,
% 8.28/6.44 (~v185(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33257, 33256, 33202])).
% 8.28/6.44 tff(33259,plain,
% 8.28/6.44 ((~(v181(constB137) | v185(constB137))) | v181(constB137) | v185(constB137)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33260,plain,
% 8.28/6.44 (~(v181(constB137) | v185(constB137))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33259, 33258, 33200])).
% 8.28/6.44 tff(33261,plain,
% 8.28/6.44 ((~(v178(constB137) <=> (v181(constB137) | v185(constB137)))) | (~v178(constB137)) | (v181(constB137) | v185(constB137))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33262,plain,
% 8.28/6.44 (~v178(constB137)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33261, 33260, 33127])).
% 8.28/6.44 tff(33263,plain,
% 8.28/6.44 ((~(v180(constB138) <=> v178(constB137))) | (~v180(constB138)) | v178(constB137)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33264,plain,
% 8.28/6.44 (~v180(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33263, 33262, 33125])).
% 8.28/6.44 tff(33265,plain,
% 8.28/6.44 ((~(v157(constB138) <=> v180(constB138))) | (~v157(constB138)) | v180(constB138)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33266,plain,
% 8.28/6.44 (~v157(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33265, 33264, 33121])).
% 8.28/6.44 tff(33267,plain,
% 8.28/6.44 (((~v157(constB138)) | (~v182(constB138))) | v157(constB138)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33268,plain,
% 8.28/6.44 ((~v157(constB138)) | (~v182(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33267, 33266])).
% 8.28/6.44 tff(33269,plain,
% 8.28/6.44 ((~(v181(constB138) <=> (~((~v157(constB138)) | (~v182(constB138)))))) | (~v181(constB138)) | (~((~v157(constB138)) | (~v182(constB138))))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33270,plain,
% 8.28/6.44 (~v181(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33269, 33268, 33119])).
% 8.28/6.44 tff(33271,plain,
% 8.28/6.44 ((~(v181(constB138) | v185(constB138))) | v181(constB138) | v185(constB138)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33272,plain,
% 8.28/6.44 (~(v181(constB138) | v185(constB138))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33271, 33270, 33112])).
% 8.28/6.44 tff(33273,plain,
% 8.28/6.44 ((~(v178(constB138) <=> (v181(constB138) | v185(constB138)))) | (~v178(constB138)) | (v181(constB138) | v185(constB138))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33274,plain,
% 8.28/6.44 (~v178(constB138)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33273, 33272, 33087])).
% 8.28/6.44 tff(33275,plain,
% 8.28/6.44 ((~(v180(constB139) <=> v178(constB138))) | (~v180(constB139)) | v178(constB138)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33276,plain,
% 8.28/6.44 (~v180(constB139)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33275, 33274, 33085])).
% 8.28/6.44 tff(33277,plain,
% 8.28/6.44 ($false),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33276, 33081])).
% 8.28/6.44 tff(33278,plain,(~(constB139 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.28/6.44 tff(33279,assumption,(constB117 = VarCurr!0), introduced(assumption)).
% 8.28/6.44 tff(33280,plain,
% 8.28/6.44 (v180(constB117) <=> v180(VarCurr!0)),
% 8.28/6.44 inference(monotonicity,[status(thm)],[33279])).
% 8.28/6.44 tff(33281,plain,
% 8.28/6.44 (v180(VarCurr!0) <=> v180(constB117)),
% 8.28/6.44 inference(symmetry,[status(thm)],[33280])).
% 8.28/6.44 tff(33282,plain,
% 8.28/6.44 (v180(constB117)),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[59, 33281])).
% 8.28/6.44 tff(33283,plain,
% 8.28/6.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB116, constB117)) | (v180(constB117) <=> v178(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB116, constB117)) | (v180(constB117) <=> v178(constB116)))),
% 8.28/6.44 inference(rewrite,[status(thm)],[])).
% 8.28/6.44 tff(33284,plain,
% 8.28/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB116, constB117)) | (v180(constB117) <=> v178(constB116)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33285,plain,
% 8.28/6.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB116, constB117)) | (v180(constB117) <=> v178(constB116))),
% 8.28/6.44 inference(modus_ponens,[status(thm)],[33284, 33283])).
% 8.28/6.44 tff(33286,plain,
% 8.28/6.44 (v180(constB117) <=> v178(constB116)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33285, 14631, 70])).
% 8.28/6.44 tff(33287,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB116) <=> (v181(constB116) | v185(constB116)))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33288,plain,
% 8.28/6.44 (v178(constB116) <=> (v181(constB116) | v185(constB116))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33287, 84])).
% 8.28/6.44 tff(33289,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB116) <=> (~((~v186(constB116)) | (~v187(constB116)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33290,plain,
% 8.28/6.44 (v185(constB116) <=> (~((~v186(constB116)) | (~v187(constB116))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33289, 96])).
% 8.28/6.44 tff(33291,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB116) <=> (~((~v184(constB116)) | (~v159(constB116)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33292,plain,
% 8.28/6.44 (v187(constB116) <=> (~((~v184(constB116)) | (~v159(constB116))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33291, 108])).
% 8.28/6.44 tff(33293,plain,
% 8.28/6.44 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33294,plain,
% 8.28/6.44 (v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116))))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33293, 120])).
% 8.28/6.44 tff(33295,plain,
% 8.28/6.44 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB116)) <=> v1(constB116))),
% 8.28/6.44 inference(quant_inst,[status(thm)],[])).
% 8.28/6.44 tff(33296,plain,
% 8.28/6.44 ((~v39(constB116)) <=> v1(constB116)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33295, 129])).
% 8.28/6.44 tff(33297,plain,
% 8.28/6.44 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116)) | (~v1(constB116))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33298,plain,
% 8.28/6.44 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33297, 16048])).
% 8.28/6.44 tff(33299,plain,
% 8.28/6.44 (~v39(constB116)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33298, 33296])).
% 8.28/6.44 tff(33300,plain,
% 8.28/6.44 (((~v39(constB116)) | (~v9(constB116))) | v39(constB116)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33301,plain,
% 8.28/6.44 ((~v39(constB116)) | (~v9(constB116))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33300, 33299])).
% 8.28/6.44 tff(33302,plain,
% 8.28/6.44 ((~(v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v184(constB116)) | (~((~v39(constB116)) | (~v9(constB116))))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33303,plain,
% 8.28/6.44 ((~(v184(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v184(constB116))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33302, 33301])).
% 8.28/6.44 tff(33304,plain,
% 8.28/6.44 (~v184(constB116)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33303, 33294])).
% 8.28/6.44 tff(33305,plain,
% 8.28/6.44 (((~v184(constB116)) | (~v159(constB116))) | v184(constB116)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33306,plain,
% 8.28/6.44 ((~v184(constB116)) | (~v159(constB116))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33305, 33304])).
% 8.28/6.44 tff(33307,plain,
% 8.28/6.44 ((~(v187(constB116) <=> (~((~v184(constB116)) | (~v159(constB116)))))) | (~v187(constB116)) | (~((~v184(constB116)) | (~v159(constB116))))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33308,plain,
% 8.28/6.44 ((~(v187(constB116) <=> (~((~v184(constB116)) | (~v159(constB116)))))) | (~v187(constB116))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33307, 33306])).
% 8.28/6.44 tff(33309,plain,
% 8.28/6.44 (~v187(constB116)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33308, 33292])).
% 8.28/6.44 tff(33310,plain,
% 8.28/6.44 (((~v186(constB116)) | (~v187(constB116))) | v187(constB116)),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33311,plain,
% 8.28/6.44 ((~v186(constB116)) | (~v187(constB116))),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33310, 33309])).
% 8.28/6.44 tff(33312,plain,
% 8.28/6.44 ((~(v185(constB116) <=> (~((~v186(constB116)) | (~v187(constB116)))))) | (~v185(constB116)) | (~((~v186(constB116)) | (~v187(constB116))))),
% 8.28/6.44 inference(tautology,[status(thm)],[])).
% 8.28/6.44 tff(33313,plain,
% 8.28/6.44 (~v185(constB116)),
% 8.28/6.44 inference(unit_resolution,[status(thm)],[33312, 33311, 33290])).
% 8.28/6.44 tff(33314,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116))))))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33315,plain,
% 8.28/6.45 ((v181(constB116) <=> (~((~v182(constB116)) | (~v157(constB116))))) <=> (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116)))))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33316,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v182(constB116)) | (~v157(constB116)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116))))))),
% 8.28/6.45 inference(monotonicity,[status(thm)],[33315])).
% 8.28/6.45 tff(33317,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v182(constB116)) | (~v157(constB116)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116))))))),
% 8.28/6.45 inference(transitivity,[status(thm)],[33316, 33314])).
% 8.28/6.45 tff(33318,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v182(constB116)) | (~v157(constB116)))))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33319,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116)))))),
% 8.28/6.45 inference(modus_ponens,[status(thm)],[33318, 33317])).
% 8.28/6.45 tff(33320,plain,
% 8.28/6.45 (v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116))))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33319, 161])).
% 8.28/6.45 tff(33321,plain,
% 8.28/6.45 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB116) <=> v180(constB116))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33322,plain,
% 8.28/6.45 (v157(constB116) <=> v180(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33321, 13])).
% 8.28/6.45 tff(33323,plain,
% 8.28/6.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB115, constB116)) | (v180(constB116) <=> v178(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB115, constB116)) | (v180(constB116) <=> v178(constB115)))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33324,plain,
% 8.28/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB115, constB116)) | (v180(constB116) <=> v178(constB115)))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33325,plain,
% 8.28/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB115, constB116)) | (v180(constB116) <=> v178(constB115))),
% 8.28/6.45 inference(modus_ponens,[status(thm)],[33324, 33323])).
% 8.28/6.45 tff(33326,plain,
% 8.28/6.45 (v180(constB116) <=> v178(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33325, 14667, 70])).
% 8.28/6.45 tff(33327,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB115) <=> (v181(constB115) | v185(constB115)))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33328,plain,
% 8.28/6.45 (v178(constB115) <=> (v181(constB115) | v185(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33327, 84])).
% 8.28/6.45 tff(33329,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115))))))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33330,plain,
% 8.28/6.45 ((v181(constB115) <=> (~((~v182(constB115)) | (~v157(constB115))))) <=> (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115)))))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33331,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v182(constB115)) | (~v157(constB115)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115))))))),
% 8.28/6.45 inference(monotonicity,[status(thm)],[33330])).
% 8.28/6.45 tff(33332,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v182(constB115)) | (~v157(constB115)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115))))))),
% 8.28/6.45 inference(transitivity,[status(thm)],[33331, 33329])).
% 8.28/6.45 tff(33333,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v182(constB115)) | (~v157(constB115)))))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33334,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115)))))),
% 8.28/6.45 inference(modus_ponens,[status(thm)],[33333, 33332])).
% 8.28/6.45 tff(33335,plain,
% 8.28/6.45 (v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115))))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33334, 161])).
% 8.28/6.45 tff(33336,plain,
% 8.28/6.45 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB115)) <=> v183(constB115))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33337,plain,
% 8.28/6.45 ((~v182(constB115)) <=> v183(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33336, 193])).
% 8.28/6.45 tff(33338,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB115) <=> (v184(constB115) | v26(constB115)))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33339,plain,
% 8.28/6.45 (v183(constB115) <=> (v184(constB115) | v26(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33338, 202])).
% 8.28/6.45 tff(33340,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33341,plain,
% 8.28/6.45 (v184(constB115) <=> (~((~v39(constB115)) | (~v9(constB115))))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33340, 120])).
% 8.28/6.45 tff(33342,plain,
% 8.28/6.45 (((~![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)))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33343,plain,
% 8.28/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33344,plain,
% 8.28/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115))),
% 8.28/6.45 inference(modus_ponens,[status(thm)],[33343, 33342])).
% 8.28/6.45 tff(33345,plain,
% 8.28/6.45 (v13(constB116) <=> v9(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33344, 14667, 216])).
% 8.28/6.45 tff(33346,plain,
% 8.28/6.45 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB116) <=> v13(constB116))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33347,plain,
% 8.28/6.45 (v6(constB116) <=> v13(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33346, 230])).
% 8.28/6.45 tff(33348,plain,
% 8.28/6.45 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB116)) <=> v6(constB116))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33349,plain,
% 8.28/6.45 ((~v21(constB116)) <=> v6(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33348, 239])).
% 8.28/6.45 tff(33350,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB116) <=> (v20(constB116) | v21(constB116)))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33351,plain,
% 8.28/6.45 (v19(constB116) <=> (v20(constB116) | v21(constB116))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33350, 248])).
% 8.28/6.45 tff(33352,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33353,plain,
% 8.28/6.45 (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116))))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33352, 260])).
% 8.28/6.45 tff(33354,plain,
% 8.28/6.45 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB116)) <=> v18(constB116))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33355,plain,
% 8.28/6.45 ((~v4(constB116)) <=> v18(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33354, 269])).
% 8.28/6.45 tff(33356,plain,
% 8.28/6.45 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB116)),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33357,plain,
% 8.28/6.45 (v4(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33356, 278])).
% 8.28/6.45 tff(33358,plain,
% 8.28/6.45 ((~((~v4(constB116)) <=> v18(constB116))) | (~v4(constB116)) | (~v18(constB116))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33359,plain,
% 8.28/6.45 (~v18(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33358, 33357, 33355])).
% 8.28/6.45 tff(33360,plain,
% 8.28/6.45 ((~(v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))) | v18(constB116) | ((~v19(constB116)) | (~v22(constB116)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33361,plain,
% 8.28/6.45 ((~v19(constB116)) | (~v22(constB116))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33360, 33359, 33353])).
% 8.28/6.45 tff(33362,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB116) <=> (v1(constB116) | v6(constB116)))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33363,plain,
% 8.28/6.45 (v22(constB116) <=> (v1(constB116) | v6(constB116))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33362, 291])).
% 8.28/6.45 tff(33364,plain,
% 8.28/6.45 ((v1(constB116) | v6(constB116)) | (~v1(constB116))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33365,plain,
% 8.28/6.45 (v1(constB116) | v6(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33364, 16048])).
% 8.28/6.45 tff(33366,plain,
% 8.28/6.45 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116) | (~(v1(constB116) | v6(constB116)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33367,plain,
% 8.28/6.45 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33366, 33365])).
% 8.28/6.45 tff(33368,plain,
% 8.28/6.45 (v22(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33367, 33363])).
% 8.28/6.45 tff(33369,plain,
% 8.28/6.45 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116)) | (~v22(constB116))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33370,plain,
% 8.28/6.45 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33369, 33368])).
% 8.28/6.45 tff(33371,plain,
% 8.28/6.45 (~v19(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33370, 33361])).
% 8.28/6.45 tff(33372,plain,
% 8.28/6.45 ((~(v19(constB116) <=> (v20(constB116) | v21(constB116)))) | v19(constB116) | (~(v20(constB116) | v21(constB116)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33373,plain,
% 8.28/6.45 (~(v20(constB116) | v21(constB116))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33372, 33371, 33351])).
% 8.28/6.45 tff(33374,plain,
% 8.28/6.45 ((v20(constB116) | v21(constB116)) | (~v21(constB116))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33375,plain,
% 8.28/6.45 (~v21(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33374, 33373])).
% 8.28/6.45 tff(33376,plain,
% 8.28/6.45 ((~((~v21(constB116)) <=> v6(constB116))) | v21(constB116) | v6(constB116)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33377,plain,
% 8.28/6.45 (v6(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33376, 33375, 33349])).
% 8.28/6.45 tff(33378,plain,
% 8.28/6.45 ((~(v6(constB116) <=> v13(constB116))) | (~v6(constB116)) | v13(constB116)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33379,plain,
% 8.28/6.45 (v13(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33378, 33377, 33347])).
% 8.28/6.45 tff(33380,plain,
% 8.28/6.45 ((~(v13(constB116) <=> v9(constB115))) | (~v13(constB116)) | v9(constB115)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33381,plain,
% 8.28/6.45 (v9(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33380, 33379, 33345])).
% 8.28/6.45 tff(33382,plain,
% 8.28/6.45 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB115)) <=> v1(constB115))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33383,plain,
% 8.28/6.45 ((~v39(constB115)) <=> v1(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33382, 129])).
% 8.28/6.45 tff(33384,plain,
% 8.28/6.45 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115) | v1(constB115)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33385,plain,
% 8.28/6.45 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33384, 14711])).
% 8.28/6.45 tff(33386,plain,
% 8.28/6.45 (v39(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33385, 33383])).
% 8.28/6.45 tff(33387,plain,
% 8.28/6.45 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v39(constB115)) | (~v9(constB115))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33388,plain,
% 8.28/6.45 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v9(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33387, 33386])).
% 8.28/6.45 tff(33389,plain,
% 8.28/6.45 (~((~v39(constB115)) | (~v9(constB115)))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33388, 33381])).
% 8.28/6.45 tff(33390,plain,
% 8.28/6.45 ((~(v184(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))) | v184(constB115) | ((~v39(constB115)) | (~v9(constB115)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33391,plain,
% 8.28/6.45 (v184(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33390, 33389, 33341])).
% 8.28/6.45 tff(33392,plain,
% 8.28/6.45 ((v184(constB115) | v26(constB115)) | (~v184(constB115))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33393,plain,
% 8.28/6.45 (v184(constB115) | v26(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33392, 33391])).
% 8.28/6.45 tff(33394,plain,
% 8.28/6.45 ((~(v183(constB115) <=> (v184(constB115) | v26(constB115)))) | v183(constB115) | (~(v184(constB115) | v26(constB115)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33395,plain,
% 8.28/6.45 (v183(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33394, 33393, 33339])).
% 8.28/6.45 tff(33396,plain,
% 8.28/6.45 ((~((~v182(constB115)) <=> v183(constB115))) | (~v182(constB115)) | (~v183(constB115))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33397,plain,
% 8.28/6.45 (~v182(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33396, 33395, 33337])).
% 8.28/6.45 tff(33398,plain,
% 8.28/6.45 (((~v157(constB115)) | (~v182(constB115))) | v182(constB115)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33399,plain,
% 8.28/6.45 ((~v157(constB115)) | (~v182(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33398, 33397])).
% 8.28/6.45 tff(33400,plain,
% 8.28/6.45 ((~(v181(constB115) <=> (~((~v157(constB115)) | (~v182(constB115)))))) | (~v181(constB115)) | (~((~v157(constB115)) | (~v182(constB115))))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33401,plain,
% 8.28/6.45 (~v181(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33400, 33399, 33335])).
% 8.28/6.45 tff(33402,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB115) <=> (~((~v186(constB115)) | (~v187(constB115)))))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33403,plain,
% 8.28/6.45 (v185(constB115) <=> (~((~v186(constB115)) | (~v187(constB115))))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33402, 96])).
% 8.28/6.45 tff(33404,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB115) <=> (~((~v184(constB115)) | (~v159(constB115)))))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33405,plain,
% 8.28/6.45 (v187(constB115) <=> (~((~v184(constB115)) | (~v159(constB115))))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33404, 108])).
% 8.28/6.45 tff(33406,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB115) <=> v161(constB115))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33407,plain,
% 8.28/6.45 (v159(constB115) <=> v161(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33406, 345])).
% 8.28/6.45 tff(33408,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB115) <=> (v145(constB115) | v165(constB115)))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33409,plain,
% 8.28/6.45 (v164(constB115) <=> (v145(constB115) | v165(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33408, 357])).
% 8.28/6.45 tff(33410,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB115) <=> (v142(constB115) | v166(constB115)))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33411,plain,
% 8.28/6.45 (v165(constB115) <=> (v142(constB115) | v166(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33410, 369])).
% 8.28/6.45 tff(33412,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB115) <=> (v141(constB115) | v167(constB115)))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33413,plain,
% 8.28/6.45 (v166(constB115) <=> (v141(constB115) | v167(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33412, 381])).
% 8.28/6.45 tff(33414,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB115) <=> (~((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB115) <=> (~((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0))))))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33415,plain,
% 8.28/6.45 ((v141(constB115) <=> (~(v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0))))) <=> (v141(constB115) <=> (~((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33416,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB115) <=> (~(v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB115) <=> (~((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0))))))),
% 8.28/6.45 inference(monotonicity,[status(thm)],[33415])).
% 8.28/6.45 tff(33417,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB115) <=> (~(v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB115) <=> (~((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0))))))),
% 8.28/6.45 inference(transitivity,[status(thm)],[33416, 33414])).
% 8.28/6.45 tff(33418,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB115) <=> (~(v88(constB115, bitIndex2) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex0)))))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33419,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB115) <=> (~((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))))),
% 8.28/6.45 inference(modus_ponens,[status(thm)],[33418, 33417])).
% 8.28/6.45 tff(33420,plain,
% 8.28/6.45 (v141(constB115) <=> (~((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0))))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33419, 396])).
% 8.28/6.45 tff(33421,plain,
% 8.28/6.45 ((~![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))))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33422,plain,
% 8.28/6.45 (~(((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)) | ((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)) | ((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0)))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33421, 416])).
% 8.28/6.45 tff(33423,plain,
% 8.28/6.45 ((((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)) | ((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)) | ((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0))) | (~((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33424,plain,
% 8.28/6.45 (~((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33423, 33422])).
% 8.28/6.45 tff(33425,plain,
% 8.28/6.45 (((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)) | (~v88(constB115, bitIndex2)) | v90(constB115, bitIndex2)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33426,plain,
% 8.28/6.45 (~v88(constB115, bitIndex2)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33425, 15970, 33424])).
% 8.28/6.45 tff(33427,plain,
% 8.28/6.45 ((((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)) | ((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)) | ((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0))) | (~((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33428,plain,
% 8.28/6.45 (~((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33427, 33422])).
% 8.28/6.45 tff(33429,plain,
% 8.28/6.45 (((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0)) | v88(constB115, bitIndex0) | (~v90(constB115, bitIndex0))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33430,plain,
% 8.28/6.45 (v88(constB115, bitIndex0)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33429, 15988, 33428])).
% 8.28/6.45 tff(33431,plain,
% 8.28/6.45 ((((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)) | ((~v88(constB115, bitIndex2)) <=> v90(constB115, bitIndex2)) | ((~v88(constB115, bitIndex0)) <=> v90(constB115, bitIndex0))) | (~((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33432,plain,
% 8.28/6.45 (~((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33431, 33422])).
% 8.28/6.45 tff(33433,plain,
% 8.28/6.45 (((~v88(constB115, bitIndex1)) <=> v90(constB115, bitIndex1)) | v88(constB115, bitIndex1) | (~v90(constB115, bitIndex1))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33434,plain,
% 8.28/6.45 (v88(constB115, bitIndex1)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33433, 16006, 33432])).
% 8.28/6.45 tff(33435,plain,
% 8.28/6.45 ((~((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33436,plain,
% 8.28/6.45 (~((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33435, 33434, 33430, 33426])).
% 8.28/6.45 tff(33437,plain,
% 8.28/6.45 ((~(v141(constB115) <=> (~((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))))) | v141(constB115) | ((~v88(constB115, bitIndex1)) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33438,plain,
% 8.28/6.45 (v141(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33437, 33436, 33420])).
% 8.28/6.45 tff(33439,plain,
% 8.28/6.45 ((v141(constB115) | v167(constB115)) | (~v141(constB115))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33440,plain,
% 8.28/6.45 (v141(constB115) | v167(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33439, 33438])).
% 8.28/6.45 tff(33441,plain,
% 8.28/6.45 ((~(v166(constB115) <=> (v141(constB115) | v167(constB115)))) | v166(constB115) | (~(v141(constB115) | v167(constB115)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33442,plain,
% 8.28/6.45 (v166(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33441, 33440, 33413])).
% 8.28/6.45 tff(33443,plain,
% 8.28/6.45 ((v142(constB115) | v166(constB115)) | (~v166(constB115))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33444,plain,
% 8.28/6.45 (v142(constB115) | v166(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33443, 33442])).
% 8.28/6.45 tff(33445,plain,
% 8.28/6.45 ((~(v165(constB115) <=> (v142(constB115) | v166(constB115)))) | v165(constB115) | (~(v142(constB115) | v166(constB115)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33446,plain,
% 8.28/6.45 ((~(v165(constB115) <=> (v142(constB115) | v166(constB115)))) | v165(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33445, 33444])).
% 8.28/6.45 tff(33447,plain,
% 8.28/6.45 (v165(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33446, 33411])).
% 8.28/6.45 tff(33448,plain,
% 8.28/6.45 ((v145(constB115) | v165(constB115)) | (~v165(constB115))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33449,plain,
% 8.28/6.45 (v145(constB115) | v165(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33448, 33447])).
% 8.28/6.45 tff(33450,plain,
% 8.28/6.45 ((~(v164(constB115) <=> (v145(constB115) | v165(constB115)))) | v164(constB115) | (~(v145(constB115) | v165(constB115)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33451,plain,
% 8.28/6.45 (v164(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33450, 33449, 33409])).
% 8.28/6.45 tff(33452,plain,
% 8.28/6.45 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB115)) | (v161(constB115) <=> v168(constB115)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB115)) | (v161(constB115) <=> v168(constB115)))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33453,plain,
% 8.28/6.45 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB115)) | (v161(constB115) <=> v168(constB115)))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33454,plain,
% 8.28/6.45 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB115)) | (v161(constB115) <=> v168(constB115))),
% 8.28/6.45 inference(modus_ponens,[status(thm)],[33453, 33452])).
% 8.28/6.45 tff(33455,plain,
% 8.28/6.45 ((~v164(constB115)) | (v161(constB115) <=> v168(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33454, 12128])).
% 8.28/6.45 tff(33456,plain,
% 8.28/6.45 (v161(constB115) <=> v168(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33455, 33451])).
% 8.28/6.45 tff(33457,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB115) <=> (~(v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2))))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33458,plain,
% 8.28/6.45 (v139(constB115) <=> (~(v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2)))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33457, 12146])).
% 8.28/6.45 tff(33459,plain,
% 8.28/6.45 ((v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex0))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33460,plain,
% 8.28/6.45 (v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33459, 33430])).
% 8.28/6.45 tff(33461,plain,
% 8.28/6.45 ((~(v139(constB115) <=> (~(v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2))))) | (~v139(constB115)) | (~(v88(constB115, bitIndex0) | v88(constB115, bitIndex1) | v88(constB115, bitIndex2)))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33462,plain,
% 8.28/6.45 (~v139(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33461, 33460, 33458])).
% 8.28/6.45 tff(33463,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB115) <=> (~(v88(constB115, bitIndex1) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33464,plain,
% 8.28/6.45 (v140(constB115) <=> (~(v88(constB115, bitIndex1) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0))))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33463, 12165])).
% 8.28/6.45 tff(33465,plain,
% 8.28/6.45 ((v88(constB115, bitIndex1) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0))) | (~v88(constB115, bitIndex1))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33466,plain,
% 8.28/6.45 (v88(constB115, bitIndex1) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33465, 33434])).
% 8.28/6.45 tff(33467,plain,
% 8.28/6.45 ((~(v140(constB115) <=> (~(v88(constB115, bitIndex1) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0)))))) | (~v140(constB115)) | (~(v88(constB115, bitIndex1) | v88(constB115, bitIndex2) | (~v88(constB115, bitIndex0))))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33468,plain,
% 8.28/6.45 (~v140(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33467, 33466, 33464])).
% 8.28/6.45 tff(33469,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB115) | v140(constB115) | (~v168(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB115) | v140(constB115) | (~v168(constB115)))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33470,plain,
% 8.28/6.45 ((v140(constB115) | v139(constB115) | (~v168(constB115))) <=> (v139(constB115) | v140(constB115) | (~v168(constB115)))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33471,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v168(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB115) | v140(constB115) | (~v168(constB115))))),
% 8.28/6.45 inference(monotonicity,[status(thm)],[33470])).
% 8.28/6.45 tff(33472,plain,
% 8.28/6.45 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v168(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB115) | v140(constB115) | (~v168(constB115)))),
% 8.28/6.45 inference(transitivity,[status(thm)],[33471, 33469])).
% 8.28/6.45 tff(33473,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v168(constB115)))),
% 8.28/6.45 inference(quant_inst,[status(thm)],[])).
% 8.28/6.45 tff(33474,plain,
% 8.28/6.45 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB115) | v140(constB115) | (~v168(constB115))),
% 8.28/6.45 inference(modus_ponens,[status(thm)],[33473, 33472])).
% 8.28/6.45 tff(33475,plain,
% 8.28/6.45 (v139(constB115) | v140(constB115) | (~v168(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33474, 12184])).
% 8.28/6.45 tff(33476,plain,
% 8.28/6.45 (~v168(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33475, 33468, 33462])).
% 8.28/6.45 tff(33477,plain,
% 8.28/6.45 ((~(v161(constB115) <=> v168(constB115))) | (~v161(constB115)) | v168(constB115)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33478,plain,
% 8.28/6.45 ((~(v161(constB115) <=> v168(constB115))) | (~v161(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33477, 33476])).
% 8.28/6.45 tff(33479,plain,
% 8.28/6.45 (~v161(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33478, 33456])).
% 8.28/6.45 tff(33480,plain,
% 8.28/6.45 ((~(v159(constB115) <=> v161(constB115))) | (~v159(constB115)) | v161(constB115)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33481,plain,
% 8.28/6.45 ((~(v159(constB115) <=> v161(constB115))) | (~v159(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33480, 33479])).
% 8.28/6.45 tff(33482,plain,
% 8.28/6.45 (~v159(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33481, 33407])).
% 8.28/6.45 tff(33483,plain,
% 8.28/6.45 (((~v184(constB115)) | (~v159(constB115))) | v159(constB115)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33484,plain,
% 8.28/6.45 ((~v184(constB115)) | (~v159(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33483, 33482])).
% 8.28/6.45 tff(33485,plain,
% 8.28/6.45 ((~(v187(constB115) <=> (~((~v184(constB115)) | (~v159(constB115)))))) | (~v187(constB115)) | (~((~v184(constB115)) | (~v159(constB115))))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33486,plain,
% 8.28/6.45 (~v187(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33485, 33484, 33405])).
% 8.28/6.45 tff(33487,plain,
% 8.28/6.45 (((~v186(constB115)) | (~v187(constB115))) | v187(constB115)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33488,plain,
% 8.28/6.45 ((~v186(constB115)) | (~v187(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33487, 33486])).
% 8.28/6.45 tff(33489,plain,
% 8.28/6.45 ((~(v185(constB115) <=> (~((~v186(constB115)) | (~v187(constB115)))))) | (~v185(constB115)) | (~((~v186(constB115)) | (~v187(constB115))))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33490,plain,
% 8.28/6.45 (~v185(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33489, 33488, 33403])).
% 8.28/6.45 tff(33491,plain,
% 8.28/6.45 ((~(v181(constB115) | v185(constB115))) | v181(constB115) | v185(constB115)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33492,plain,
% 8.28/6.45 (~(v181(constB115) | v185(constB115))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33491, 33490, 33401])).
% 8.28/6.45 tff(33493,plain,
% 8.28/6.45 ((~(v178(constB115) <=> (v181(constB115) | v185(constB115)))) | (~v178(constB115)) | (v181(constB115) | v185(constB115))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33494,plain,
% 8.28/6.45 (~v178(constB115)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33493, 33492, 33328])).
% 8.28/6.45 tff(33495,plain,
% 8.28/6.45 ((~(v180(constB116) <=> v178(constB115))) | (~v180(constB116)) | v178(constB115)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33496,plain,
% 8.28/6.45 (~v180(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33495, 33494, 33326])).
% 8.28/6.45 tff(33497,plain,
% 8.28/6.45 ((~(v157(constB116) <=> v180(constB116))) | (~v157(constB116)) | v180(constB116)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33498,plain,
% 8.28/6.45 (~v157(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33497, 33496, 33322])).
% 8.28/6.45 tff(33499,plain,
% 8.28/6.45 (((~v157(constB116)) | (~v182(constB116))) | v157(constB116)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33500,plain,
% 8.28/6.45 ((~v157(constB116)) | (~v182(constB116))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33499, 33498])).
% 8.28/6.45 tff(33501,plain,
% 8.28/6.45 ((~(v181(constB116) <=> (~((~v157(constB116)) | (~v182(constB116)))))) | (~v181(constB116)) | (~((~v157(constB116)) | (~v182(constB116))))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33502,plain,
% 8.28/6.45 (~v181(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33501, 33500, 33320])).
% 8.28/6.45 tff(33503,plain,
% 8.28/6.45 ((~(v181(constB116) | v185(constB116))) | v181(constB116) | v185(constB116)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33504,plain,
% 8.28/6.45 (~(v181(constB116) | v185(constB116))),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33503, 33502, 33313])).
% 8.28/6.45 tff(33505,plain,
% 8.28/6.45 ((~(v178(constB116) <=> (v181(constB116) | v185(constB116)))) | (~v178(constB116)) | (v181(constB116) | v185(constB116))),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33506,plain,
% 8.28/6.45 (~v178(constB116)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33505, 33504, 33288])).
% 8.28/6.45 tff(33507,plain,
% 8.28/6.45 ((~(v180(constB117) <=> v178(constB116))) | (~v180(constB117)) | v178(constB116)),
% 8.28/6.45 inference(tautology,[status(thm)],[])).
% 8.28/6.45 tff(33508,plain,
% 8.28/6.45 (~v180(constB117)),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33507, 33506, 33286])).
% 8.28/6.45 tff(33509,plain,
% 8.28/6.45 ($false),
% 8.28/6.45 inference(unit_resolution,[status(thm)],[33508, 33282])).
% 8.28/6.45 tff(33510,plain,(~(constB117 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.28/6.45 tff(33511,assumption,(constB175 = VarCurr!0), introduced(assumption)).
% 8.28/6.45 tff(33512,plain,
% 8.28/6.45 (v180(constB175) <=> v180(VarCurr!0)),
% 8.28/6.45 inference(monotonicity,[status(thm)],[33511])).
% 8.28/6.45 tff(33513,plain,
% 8.28/6.45 (v180(VarCurr!0) <=> v180(constB175)),
% 8.28/6.45 inference(symmetry,[status(thm)],[33512])).
% 8.28/6.45 tff(33514,plain,
% 8.28/6.45 (v180(constB175)),
% 8.28/6.45 inference(modus_ponens,[status(thm)],[59, 33513])).
% 8.28/6.45 tff(33515,plain,
% 8.28/6.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB174, constB175)) | (v180(constB175) <=> v178(constB174)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB174, constB175)) | (v180(constB175) <=> v178(constB174)))),
% 8.28/6.45 inference(rewrite,[status(thm)],[])).
% 8.28/6.45 tff(33516,plain,
% 8.28/6.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB174, constB175)) | (v180(constB175) <=> v178(constB174)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33517,plain,
% 8.28/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB174, constB175)) | (v180(constB175) <=> v178(constB174))),
% 8.28/6.46 inference(modus_ponens,[status(thm)],[33516, 33515])).
% 8.28/6.46 tff(33518,plain,
% 8.28/6.46 (v180(constB175) <=> v178(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33517, 12767, 70])).
% 8.28/6.46 tff(33519,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB174) <=> (v181(constB174) | v185(constB174)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33520,plain,
% 8.28/6.46 (v178(constB174) <=> (v181(constB174) | v185(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33519, 84])).
% 8.28/6.46 tff(33521,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB174) <=> (~((~v186(constB174)) | (~v187(constB174)))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33522,plain,
% 8.28/6.46 (v185(constB174) <=> (~((~v186(constB174)) | (~v187(constB174))))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33521, 96])).
% 8.28/6.46 tff(33523,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB174) <=> (~((~v184(constB174)) | (~v159(constB174)))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33524,plain,
% 8.28/6.46 (v187(constB174) <=> (~((~v184(constB174)) | (~v159(constB174))))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33523, 108])).
% 8.28/6.46 tff(33525,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33526,plain,
% 8.28/6.46 (v184(constB174) <=> (~((~v39(constB174)) | (~v9(constB174))))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33525, 120])).
% 8.28/6.46 tff(33527,plain,
% 8.28/6.46 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB174)) <=> v1(constB174))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33528,plain,
% 8.28/6.46 ((~v39(constB174)) <=> v1(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33527, 129])).
% 8.28/6.46 tff(33529,plain,
% 8.28/6.46 ((~((~v39(constB174)) <=> v1(constB174))) | (~v39(constB174)) | (~v1(constB174))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33530,plain,
% 8.28/6.46 ((~((~v39(constB174)) <=> v1(constB174))) | (~v39(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33529, 20568])).
% 8.28/6.46 tff(33531,plain,
% 8.28/6.46 (~v39(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33530, 33528])).
% 8.28/6.46 tff(33532,plain,
% 8.28/6.46 (((~v39(constB174)) | (~v9(constB174))) | v39(constB174)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33533,plain,
% 8.28/6.46 ((~v39(constB174)) | (~v9(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33532, 33531])).
% 8.28/6.46 tff(33534,plain,
% 8.28/6.46 ((~(v184(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))) | (~v184(constB174)) | (~((~v39(constB174)) | (~v9(constB174))))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33535,plain,
% 8.28/6.46 ((~(v184(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))) | (~v184(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33534, 33533])).
% 8.28/6.46 tff(33536,plain,
% 8.28/6.46 (~v184(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33535, 33526])).
% 8.28/6.46 tff(33537,plain,
% 8.28/6.46 (((~v184(constB174)) | (~v159(constB174))) | v184(constB174)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33538,plain,
% 8.28/6.46 ((~v184(constB174)) | (~v159(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33537, 33536])).
% 8.28/6.46 tff(33539,plain,
% 8.28/6.46 ((~(v187(constB174) <=> (~((~v184(constB174)) | (~v159(constB174)))))) | (~v187(constB174)) | (~((~v184(constB174)) | (~v159(constB174))))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33540,plain,
% 8.28/6.46 ((~(v187(constB174) <=> (~((~v184(constB174)) | (~v159(constB174)))))) | (~v187(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33539, 33538])).
% 8.28/6.46 tff(33541,plain,
% 8.28/6.46 (~v187(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33540, 33524])).
% 8.28/6.46 tff(33542,plain,
% 8.28/6.46 (((~v186(constB174)) | (~v187(constB174))) | v187(constB174)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33543,plain,
% 8.28/6.46 ((~v186(constB174)) | (~v187(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33542, 33541])).
% 8.28/6.46 tff(33544,plain,
% 8.28/6.46 ((~(v185(constB174) <=> (~((~v186(constB174)) | (~v187(constB174)))))) | (~v185(constB174)) | (~((~v186(constB174)) | (~v187(constB174))))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33545,plain,
% 8.28/6.46 (~v185(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33544, 33543, 33522])).
% 8.28/6.46 tff(33546,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174))))))),
% 8.28/6.46 inference(rewrite,[status(thm)],[])).
% 8.28/6.46 tff(33547,plain,
% 8.28/6.46 ((v181(constB174) <=> (~((~v182(constB174)) | (~v157(constB174))))) <=> (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174)))))),
% 8.28/6.46 inference(rewrite,[status(thm)],[])).
% 8.28/6.46 tff(33548,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v182(constB174)) | (~v157(constB174)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174))))))),
% 8.28/6.46 inference(monotonicity,[status(thm)],[33547])).
% 8.28/6.46 tff(33549,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v182(constB174)) | (~v157(constB174)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174))))))),
% 8.28/6.46 inference(transitivity,[status(thm)],[33548, 33546])).
% 8.28/6.46 tff(33550,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v182(constB174)) | (~v157(constB174)))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33551,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174)))))),
% 8.28/6.46 inference(modus_ponens,[status(thm)],[33550, 33549])).
% 8.28/6.46 tff(33552,plain,
% 8.28/6.46 (v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174))))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33551, 161])).
% 8.28/6.46 tff(33553,plain,
% 8.28/6.46 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB174) <=> v180(constB174))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33554,plain,
% 8.28/6.46 (v157(constB174) <=> v180(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33553, 13])).
% 8.28/6.46 tff(33555,plain,
% 8.28/6.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB173, constB174)) | (v180(constB174) <=> v178(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB173, constB174)) | (v180(constB174) <=> v178(constB173)))),
% 8.28/6.46 inference(rewrite,[status(thm)],[])).
% 8.28/6.46 tff(33556,plain,
% 8.28/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB173, constB174)) | (v180(constB174) <=> v178(constB173)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33557,plain,
% 8.28/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB173, constB174)) | (v180(constB174) <=> v178(constB173))),
% 8.28/6.46 inference(modus_ponens,[status(thm)],[33556, 33555])).
% 8.28/6.46 tff(33558,plain,
% 8.28/6.46 (v180(constB174) <=> v178(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33557, 12803, 70])).
% 8.28/6.46 tff(33559,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB173) <=> (v181(constB173) | v185(constB173)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33560,plain,
% 8.28/6.46 (v178(constB173) <=> (v181(constB173) | v185(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33559, 84])).
% 8.28/6.46 tff(33561,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173))))))),
% 8.28/6.46 inference(rewrite,[status(thm)],[])).
% 8.28/6.46 tff(33562,plain,
% 8.28/6.46 ((v181(constB173) <=> (~((~v182(constB173)) | (~v157(constB173))))) <=> (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173)))))),
% 8.28/6.46 inference(rewrite,[status(thm)],[])).
% 8.28/6.46 tff(33563,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v182(constB173)) | (~v157(constB173)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173))))))),
% 8.28/6.46 inference(monotonicity,[status(thm)],[33562])).
% 8.28/6.46 tff(33564,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v182(constB173)) | (~v157(constB173)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173))))))),
% 8.28/6.46 inference(transitivity,[status(thm)],[33563, 33561])).
% 8.28/6.46 tff(33565,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v182(constB173)) | (~v157(constB173)))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33566,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173)))))),
% 8.28/6.46 inference(modus_ponens,[status(thm)],[33565, 33564])).
% 8.28/6.46 tff(33567,plain,
% 8.28/6.46 (v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173))))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33566, 161])).
% 8.28/6.46 tff(33568,plain,
% 8.28/6.46 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB173)) <=> v183(constB173))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33569,plain,
% 8.28/6.46 ((~v182(constB173)) <=> v183(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33568, 193])).
% 8.28/6.46 tff(33570,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB173) <=> (v184(constB173) | v26(constB173)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33571,plain,
% 8.28/6.46 (v183(constB173) <=> (v184(constB173) | v26(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33570, 202])).
% 8.28/6.46 tff(33572,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB173) <=> (~((~v39(constB173)) | (~v9(constB173)))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33573,plain,
% 8.28/6.46 (v184(constB173) <=> (~((~v39(constB173)) | (~v9(constB173))))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33572, 120])).
% 8.28/6.46 tff(33574,plain,
% 8.28/6.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173)))),
% 8.28/6.46 inference(rewrite,[status(thm)],[])).
% 8.28/6.46 tff(33575,plain,
% 8.28/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33576,plain,
% 8.28/6.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173))),
% 8.28/6.46 inference(modus_ponens,[status(thm)],[33575, 33574])).
% 8.28/6.46 tff(33577,plain,
% 8.28/6.46 (v13(constB174) <=> v9(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33576, 12803, 216])).
% 8.28/6.46 tff(33578,plain,
% 8.28/6.46 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB174) <=> v13(constB174))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33579,plain,
% 8.28/6.46 (v6(constB174) <=> v13(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33578, 230])).
% 8.28/6.46 tff(33580,plain,
% 8.28/6.46 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB174)) <=> v6(constB174))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33581,plain,
% 8.28/6.46 ((~v21(constB174)) <=> v6(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33580, 239])).
% 8.28/6.46 tff(33582,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB174) <=> (v20(constB174) | v21(constB174)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33583,plain,
% 8.28/6.46 (v19(constB174) <=> (v20(constB174) | v21(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33582, 248])).
% 8.28/6.46 tff(33584,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174)))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33585,plain,
% 8.28/6.46 (v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174))))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33584, 260])).
% 8.28/6.46 tff(33586,plain,
% 8.28/6.46 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB174)) <=> v18(constB174))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33587,plain,
% 8.28/6.46 ((~v4(constB174)) <=> v18(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33586, 269])).
% 8.28/6.46 tff(33588,plain,
% 8.28/6.46 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB174)),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33589,plain,
% 8.28/6.46 (v4(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33588, 278])).
% 8.28/6.46 tff(33590,plain,
% 8.28/6.46 ((~((~v4(constB174)) <=> v18(constB174))) | (~v4(constB174)) | (~v18(constB174))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33591,plain,
% 8.28/6.46 (~v18(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33590, 33589, 33587])).
% 8.28/6.46 tff(33592,plain,
% 8.28/6.46 ((~(v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174)))))) | v18(constB174) | ((~v19(constB174)) | (~v22(constB174)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33593,plain,
% 8.28/6.46 ((~v19(constB174)) | (~v22(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33592, 33591, 33585])).
% 8.28/6.46 tff(33594,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB174) <=> (v1(constB174) | v6(constB174)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33595,plain,
% 8.28/6.46 (v22(constB174) <=> (v1(constB174) | v6(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33594, 291])).
% 8.28/6.46 tff(33596,plain,
% 8.28/6.46 ((v1(constB174) | v6(constB174)) | (~v1(constB174))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33597,plain,
% 8.28/6.46 (v1(constB174) | v6(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33596, 20568])).
% 8.28/6.46 tff(33598,plain,
% 8.28/6.46 ((~(v22(constB174) <=> (v1(constB174) | v6(constB174)))) | v22(constB174) | (~(v1(constB174) | v6(constB174)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33599,plain,
% 8.28/6.46 ((~(v22(constB174) <=> (v1(constB174) | v6(constB174)))) | v22(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33598, 33597])).
% 8.28/6.46 tff(33600,plain,
% 8.28/6.46 (v22(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33599, 33595])).
% 8.28/6.46 tff(33601,plain,
% 8.28/6.46 ((~((~v19(constB174)) | (~v22(constB174)))) | (~v19(constB174)) | (~v22(constB174))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33602,plain,
% 8.28/6.46 ((~((~v19(constB174)) | (~v22(constB174)))) | (~v19(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33601, 33600])).
% 8.28/6.46 tff(33603,plain,
% 8.28/6.46 (~v19(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33602, 33593])).
% 8.28/6.46 tff(33604,plain,
% 8.28/6.46 ((~(v19(constB174) <=> (v20(constB174) | v21(constB174)))) | v19(constB174) | (~(v20(constB174) | v21(constB174)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33605,plain,
% 8.28/6.46 (~(v20(constB174) | v21(constB174))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33604, 33603, 33583])).
% 8.28/6.46 tff(33606,plain,
% 8.28/6.46 ((v20(constB174) | v21(constB174)) | (~v21(constB174))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33607,plain,
% 8.28/6.46 (~v21(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33606, 33605])).
% 8.28/6.46 tff(33608,plain,
% 8.28/6.46 ((~((~v21(constB174)) <=> v6(constB174))) | v21(constB174) | v6(constB174)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33609,plain,
% 8.28/6.46 (v6(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33608, 33607, 33581])).
% 8.28/6.46 tff(33610,plain,
% 8.28/6.46 ((~(v6(constB174) <=> v13(constB174))) | (~v6(constB174)) | v13(constB174)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33611,plain,
% 8.28/6.46 (v13(constB174)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33610, 33609, 33579])).
% 8.28/6.46 tff(33612,plain,
% 8.28/6.46 ((~(v13(constB174) <=> v9(constB173))) | (~v13(constB174)) | v9(constB173)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33613,plain,
% 8.28/6.46 (v9(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33612, 33611, 33577])).
% 8.28/6.46 tff(33614,plain,
% 8.28/6.46 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB173)) <=> v1(constB173))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33615,plain,
% 8.28/6.46 ((~v39(constB173)) <=> v1(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33614, 129])).
% 8.28/6.46 tff(33616,plain,
% 8.28/6.46 ((~((~v39(constB173)) <=> v1(constB173))) | v39(constB173) | v1(constB173)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33617,plain,
% 8.28/6.46 ((~((~v39(constB173)) <=> v1(constB173))) | v39(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33616, 12847])).
% 8.28/6.46 tff(33618,plain,
% 8.28/6.46 (v39(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33617, 33615])).
% 8.28/6.46 tff(33619,plain,
% 8.28/6.46 ((~((~v39(constB173)) | (~v9(constB173)))) | (~v39(constB173)) | (~v9(constB173))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33620,plain,
% 8.28/6.46 ((~((~v39(constB173)) | (~v9(constB173)))) | (~v9(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33619, 33618])).
% 8.28/6.46 tff(33621,plain,
% 8.28/6.46 (~((~v39(constB173)) | (~v9(constB173)))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33620, 33613])).
% 8.28/6.46 tff(33622,plain,
% 8.28/6.46 ((~(v184(constB173) <=> (~((~v39(constB173)) | (~v9(constB173)))))) | v184(constB173) | ((~v39(constB173)) | (~v9(constB173)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33623,plain,
% 8.28/6.46 (v184(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33622, 33621, 33573])).
% 8.28/6.46 tff(33624,plain,
% 8.28/6.46 ((v184(constB173) | v26(constB173)) | (~v184(constB173))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33625,plain,
% 8.28/6.46 (v184(constB173) | v26(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33624, 33623])).
% 8.28/6.46 tff(33626,plain,
% 8.28/6.46 ((~(v183(constB173) <=> (v184(constB173) | v26(constB173)))) | v183(constB173) | (~(v184(constB173) | v26(constB173)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33627,plain,
% 8.28/6.46 (v183(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33626, 33625, 33571])).
% 8.28/6.46 tff(33628,plain,
% 8.28/6.46 ((~((~v182(constB173)) <=> v183(constB173))) | (~v182(constB173)) | (~v183(constB173))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33629,plain,
% 8.28/6.46 (~v182(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33628, 33627, 33569])).
% 8.28/6.46 tff(33630,plain,
% 8.28/6.46 (((~v157(constB173)) | (~v182(constB173))) | v182(constB173)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33631,plain,
% 8.28/6.46 ((~v157(constB173)) | (~v182(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33630, 33629])).
% 8.28/6.46 tff(33632,plain,
% 8.28/6.46 ((~(v181(constB173) <=> (~((~v157(constB173)) | (~v182(constB173)))))) | (~v181(constB173)) | (~((~v157(constB173)) | (~v182(constB173))))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33633,plain,
% 8.28/6.46 (~v181(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33632, 33631, 33567])).
% 8.28/6.46 tff(33634,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB173) <=> (~((~v186(constB173)) | (~v187(constB173)))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33635,plain,
% 8.28/6.46 (v185(constB173) <=> (~((~v186(constB173)) | (~v187(constB173))))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33634, 96])).
% 8.28/6.46 tff(33636,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB173) <=> (~((~v184(constB173)) | (~v159(constB173)))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33637,plain,
% 8.28/6.46 (v187(constB173) <=> (~((~v184(constB173)) | (~v159(constB173))))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33636, 108])).
% 8.28/6.46 tff(33638,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB173) <=> v161(constB173))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33639,plain,
% 8.28/6.46 (v159(constB173) <=> v161(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33638, 345])).
% 8.28/6.46 tff(33640,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB173) <=> (v145(constB173) | v165(constB173)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33641,plain,
% 8.28/6.46 (v164(constB173) <=> (v145(constB173) | v165(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33640, 357])).
% 8.28/6.46 tff(33642,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB173) <=> (v142(constB173) | v166(constB173)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33643,plain,
% 8.28/6.46 (v165(constB173) <=> (v142(constB173) | v166(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33642, 369])).
% 8.28/6.46 tff(33644,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB173) <=> (v143(constB173) | v144(constB173)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33645,plain,
% 8.28/6.46 (v142(constB173) <=> (v143(constB173) | v144(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33644, 21792])).
% 8.28/6.46 tff(33646,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~((~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~((~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0)))))),
% 8.28/6.46 inference(rewrite,[status(thm)],[])).
% 8.28/6.46 tff(33647,plain,
% 8.28/6.46 ((v143(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1))))) <=> (v143(constB173) <=> (~((~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0))))),
% 8.28/6.46 inference(rewrite,[status(thm)],[])).
% 8.28/6.46 tff(33648,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~((~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0)))))),
% 8.28/6.46 inference(monotonicity,[status(thm)],[33647])).
% 8.28/6.46 tff(33649,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~((~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0)))))),
% 8.28/6.46 inference(transitivity,[status(thm)],[33648, 33646])).
% 8.28/6.46 tff(33650,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex1)))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33651,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB173) <=> (~((~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0))))),
% 8.28/6.46 inference(modus_ponens,[status(thm)],[33650, 33649])).
% 8.28/6.46 tff(33652,plain,
% 8.28/6.46 (v143(constB173) <=> (~((~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0)))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33651, 23745])).
% 8.28/6.46 tff(33653,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB173, bitIndex1)) <=> v90(constB173, bitIndex1)) | ((~v88(constB173, bitIndex2)) <=> v90(constB173, bitIndex2)) | ((~v88(constB173, bitIndex0)) <=> v90(constB173, bitIndex0))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33654,plain,
% 8.28/6.46 (~(((~v88(constB173, bitIndex1)) <=> v90(constB173, bitIndex1)) | ((~v88(constB173, bitIndex2)) <=> v90(constB173, bitIndex2)) | ((~v88(constB173, bitIndex0)) <=> v90(constB173, bitIndex0)))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33653, 416])).
% 8.28/6.46 tff(33655,plain,
% 8.28/6.46 ((((~v88(constB173, bitIndex1)) <=> v90(constB173, bitIndex1)) | ((~v88(constB173, bitIndex2)) <=> v90(constB173, bitIndex2)) | ((~v88(constB173, bitIndex0)) <=> v90(constB173, bitIndex0))) | (~((~v88(constB173, bitIndex2)) <=> v90(constB173, bitIndex2)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33656,plain,
% 8.28/6.46 (~((~v88(constB173, bitIndex2)) <=> v90(constB173, bitIndex2))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33655, 33654])).
% 8.28/6.46 tff(33657,plain,
% 8.28/6.46 (((~v88(constB173, bitIndex2)) <=> v90(constB173, bitIndex2)) | (~v88(constB173, bitIndex2)) | v90(constB173, bitIndex2)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33658,plain,
% 8.28/6.46 (~v88(constB173, bitIndex2)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33657, 20487, 33656])).
% 8.28/6.46 tff(33659,plain,
% 8.28/6.46 ((((~v88(constB173, bitIndex1)) <=> v90(constB173, bitIndex1)) | ((~v88(constB173, bitIndex2)) <=> v90(constB173, bitIndex2)) | ((~v88(constB173, bitIndex0)) <=> v90(constB173, bitIndex0))) | (~((~v88(constB173, bitIndex0)) <=> v90(constB173, bitIndex0)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33660,plain,
% 8.28/6.46 (~((~v88(constB173, bitIndex0)) <=> v90(constB173, bitIndex0))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33659, 33654])).
% 8.28/6.46 tff(33661,plain,
% 8.28/6.46 (((~v88(constB173, bitIndex0)) <=> v90(constB173, bitIndex0)) | (~v88(constB173, bitIndex0)) | v90(constB173, bitIndex0)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33662,plain,
% 8.28/6.46 (~v88(constB173, bitIndex0)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33661, 20505, 33660])).
% 8.28/6.46 tff(33663,plain,
% 8.28/6.46 ((((~v88(constB173, bitIndex1)) <=> v90(constB173, bitIndex1)) | ((~v88(constB173, bitIndex2)) <=> v90(constB173, bitIndex2)) | ((~v88(constB173, bitIndex0)) <=> v90(constB173, bitIndex0))) | (~((~v88(constB173, bitIndex1)) <=> v90(constB173, bitIndex1)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33664,plain,
% 8.28/6.46 (~((~v88(constB173, bitIndex1)) <=> v90(constB173, bitIndex1))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33663, 33654])).
% 8.28/6.46 tff(33665,plain,
% 8.28/6.46 (((~v88(constB173, bitIndex1)) <=> v90(constB173, bitIndex1)) | v88(constB173, bitIndex1) | (~v90(constB173, bitIndex1))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33666,plain,
% 8.28/6.46 (v88(constB173, bitIndex1)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33665, 20523, 33664])).
% 8.28/6.46 tff(33667,plain,
% 8.28/6.46 ((~((~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0))) | (~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33668,plain,
% 8.28/6.46 (~((~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33667, 33666, 33662, 33658])).
% 8.28/6.46 tff(33669,plain,
% 8.28/6.46 ((~(v143(constB173) <=> (~((~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0))))) | v143(constB173) | ((~v88(constB173, bitIndex1)) | v88(constB173, bitIndex2) | v88(constB173, bitIndex0))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33670,plain,
% 8.28/6.46 (v143(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33669, 33668, 33652])).
% 8.28/6.46 tff(33671,plain,
% 8.28/6.46 ((v143(constB173) | v144(constB173)) | (~v143(constB173))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33672,plain,
% 8.28/6.46 (v143(constB173) | v144(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33671, 33670])).
% 8.28/6.46 tff(33673,plain,
% 8.28/6.46 ((~(v142(constB173) <=> (v143(constB173) | v144(constB173)))) | v142(constB173) | (~(v143(constB173) | v144(constB173)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33674,plain,
% 8.28/6.46 (v142(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33673, 33672, 33645])).
% 8.28/6.46 tff(33675,plain,
% 8.28/6.46 ((v142(constB173) | v166(constB173)) | (~v142(constB173))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33676,plain,
% 8.28/6.46 (v142(constB173) | v166(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33675, 33674])).
% 8.28/6.46 tff(33677,plain,
% 8.28/6.46 ((~(v165(constB173) <=> (v142(constB173) | v166(constB173)))) | v165(constB173) | (~(v142(constB173) | v166(constB173)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33678,plain,
% 8.28/6.46 ((~(v165(constB173) <=> (v142(constB173) | v166(constB173)))) | v165(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33677, 33676])).
% 8.28/6.46 tff(33679,plain,
% 8.28/6.46 (v165(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33678, 33643])).
% 8.28/6.46 tff(33680,plain,
% 8.28/6.46 ((v145(constB173) | v165(constB173)) | (~v165(constB173))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33681,plain,
% 8.28/6.46 (v145(constB173) | v165(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33680, 33679])).
% 8.28/6.46 tff(33682,plain,
% 8.28/6.46 ((~(v164(constB173) <=> (v145(constB173) | v165(constB173)))) | v164(constB173) | (~(v145(constB173) | v165(constB173)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33683,plain,
% 8.28/6.46 (v164(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33682, 33681, 33641])).
% 8.28/6.46 tff(33684,plain,
% 8.28/6.46 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB173)) | (v161(constB173) <=> v168(constB173)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB173)) | (v161(constB173) <=> v168(constB173)))),
% 8.28/6.46 inference(rewrite,[status(thm)],[])).
% 8.28/6.46 tff(33685,plain,
% 8.28/6.46 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB173)) | (v161(constB173) <=> v168(constB173)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33686,plain,
% 8.28/6.46 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB173)) | (v161(constB173) <=> v168(constB173))),
% 8.28/6.46 inference(modus_ponens,[status(thm)],[33685, 33684])).
% 8.28/6.46 tff(33687,plain,
% 8.28/6.46 ((~v164(constB173)) | (v161(constB173) <=> v168(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33686, 12128])).
% 8.28/6.46 tff(33688,plain,
% 8.28/6.46 (v161(constB173) <=> v168(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33687, 33683])).
% 8.28/6.46 tff(33689,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33690,plain,
% 8.28/6.46 (v139(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2)))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33689, 12146])).
% 8.28/6.46 tff(33691,plain,
% 8.28/6.46 ((v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2)) | (~v88(constB173, bitIndex1))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33692,plain,
% 8.28/6.46 (v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33691, 33666])).
% 8.28/6.46 tff(33693,plain,
% 8.28/6.46 ((~(v139(constB173) <=> (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2))))) | (~v139(constB173)) | (~(v88(constB173, bitIndex0) | v88(constB173, bitIndex1) | v88(constB173, bitIndex2)))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33694,plain,
% 8.28/6.46 (~v139(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33693, 33692, 33690])).
% 8.28/6.46 tff(33695,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB173) <=> (~(v88(constB173, bitIndex1) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex0)))))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33696,plain,
% 8.28/6.46 (v140(constB173) <=> (~(v88(constB173, bitIndex1) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex0))))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33695, 12165])).
% 8.28/6.46 tff(33697,plain,
% 8.28/6.46 ((v88(constB173, bitIndex1) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex0))) | (~v88(constB173, bitIndex1))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33698,plain,
% 8.28/6.46 (v88(constB173, bitIndex1) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex0))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33697, 33666])).
% 8.28/6.46 tff(33699,plain,
% 8.28/6.46 ((~(v140(constB173) <=> (~(v88(constB173, bitIndex1) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex0)))))) | (~v140(constB173)) | (~(v88(constB173, bitIndex1) | v88(constB173, bitIndex2) | (~v88(constB173, bitIndex0))))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33700,plain,
% 8.28/6.46 (~v140(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33699, 33698, 33696])).
% 8.28/6.46 tff(33701,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB173) | v140(constB173) | (~v168(constB173)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB173) | v140(constB173) | (~v168(constB173)))),
% 8.28/6.46 inference(rewrite,[status(thm)],[])).
% 8.28/6.46 tff(33702,plain,
% 8.28/6.46 ((v140(constB173) | v139(constB173) | (~v168(constB173))) <=> (v139(constB173) | v140(constB173) | (~v168(constB173)))),
% 8.28/6.46 inference(rewrite,[status(thm)],[])).
% 8.28/6.46 tff(33703,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB173) | v139(constB173) | (~v168(constB173)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB173) | v140(constB173) | (~v168(constB173))))),
% 8.28/6.46 inference(monotonicity,[status(thm)],[33702])).
% 8.28/6.46 tff(33704,plain,
% 8.28/6.46 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB173) | v139(constB173) | (~v168(constB173)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB173) | v140(constB173) | (~v168(constB173)))),
% 8.28/6.46 inference(transitivity,[status(thm)],[33703, 33701])).
% 8.28/6.46 tff(33705,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB173) | v139(constB173) | (~v168(constB173)))),
% 8.28/6.46 inference(quant_inst,[status(thm)],[])).
% 8.28/6.46 tff(33706,plain,
% 8.28/6.46 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB173) | v140(constB173) | (~v168(constB173))),
% 8.28/6.46 inference(modus_ponens,[status(thm)],[33705, 33704])).
% 8.28/6.46 tff(33707,plain,
% 8.28/6.46 (v139(constB173) | v140(constB173) | (~v168(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33706, 12184])).
% 8.28/6.46 tff(33708,plain,
% 8.28/6.46 (~v168(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33707, 33700, 33694])).
% 8.28/6.46 tff(33709,plain,
% 8.28/6.46 ((~(v161(constB173) <=> v168(constB173))) | (~v161(constB173)) | v168(constB173)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33710,plain,
% 8.28/6.46 ((~(v161(constB173) <=> v168(constB173))) | (~v161(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33709, 33708])).
% 8.28/6.46 tff(33711,plain,
% 8.28/6.46 (~v161(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33710, 33688])).
% 8.28/6.46 tff(33712,plain,
% 8.28/6.46 ((~(v159(constB173) <=> v161(constB173))) | (~v159(constB173)) | v161(constB173)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33713,plain,
% 8.28/6.46 ((~(v159(constB173) <=> v161(constB173))) | (~v159(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33712, 33711])).
% 8.28/6.46 tff(33714,plain,
% 8.28/6.46 (~v159(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33713, 33639])).
% 8.28/6.46 tff(33715,plain,
% 8.28/6.46 (((~v184(constB173)) | (~v159(constB173))) | v159(constB173)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33716,plain,
% 8.28/6.46 ((~v184(constB173)) | (~v159(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33715, 33714])).
% 8.28/6.46 tff(33717,plain,
% 8.28/6.46 ((~(v187(constB173) <=> (~((~v184(constB173)) | (~v159(constB173)))))) | (~v187(constB173)) | (~((~v184(constB173)) | (~v159(constB173))))),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33718,plain,
% 8.28/6.46 (~v187(constB173)),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33717, 33716, 33637])).
% 8.28/6.46 tff(33719,plain,
% 8.28/6.46 (((~v186(constB173)) | (~v187(constB173))) | v187(constB173)),
% 8.28/6.46 inference(tautology,[status(thm)],[])).
% 8.28/6.46 tff(33720,plain,
% 8.28/6.46 ((~v186(constB173)) | (~v187(constB173))),
% 8.28/6.46 inference(unit_resolution,[status(thm)],[33719, 33718])).
% 8.28/6.46 tff(33721,plain,
% 8.28/6.46 ((~(v185(constB173) <=> (~((~v186(constB173)) | (~v187(constB173)))))) | (~v185(constB173)) | (~((~v186(constB173)) | (~v187(constB173))))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33722,plain,
% 8.28/6.47 (~v185(constB173)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33721, 33720, 33635])).
% 8.28/6.47 tff(33723,plain,
% 8.28/6.47 ((~(v181(constB173) | v185(constB173))) | v181(constB173) | v185(constB173)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33724,plain,
% 8.28/6.47 (~(v181(constB173) | v185(constB173))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33723, 33722, 33633])).
% 8.28/6.47 tff(33725,plain,
% 8.28/6.47 ((~(v178(constB173) <=> (v181(constB173) | v185(constB173)))) | (~v178(constB173)) | (v181(constB173) | v185(constB173))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33726,plain,
% 8.28/6.47 (~v178(constB173)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33725, 33724, 33560])).
% 8.28/6.47 tff(33727,plain,
% 8.28/6.47 ((~(v180(constB174) <=> v178(constB173))) | (~v180(constB174)) | v178(constB173)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33728,plain,
% 8.28/6.47 (~v180(constB174)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33727, 33726, 33558])).
% 8.28/6.47 tff(33729,plain,
% 8.28/6.47 ((~(v157(constB174) <=> v180(constB174))) | (~v157(constB174)) | v180(constB174)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33730,plain,
% 8.28/6.47 (~v157(constB174)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33729, 33728, 33554])).
% 8.28/6.47 tff(33731,plain,
% 8.28/6.47 (((~v157(constB174)) | (~v182(constB174))) | v157(constB174)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33732,plain,
% 8.28/6.47 ((~v157(constB174)) | (~v182(constB174))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33731, 33730])).
% 8.28/6.47 tff(33733,plain,
% 8.28/6.47 ((~(v181(constB174) <=> (~((~v157(constB174)) | (~v182(constB174)))))) | (~v181(constB174)) | (~((~v157(constB174)) | (~v182(constB174))))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33734,plain,
% 8.28/6.47 (~v181(constB174)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33733, 33732, 33552])).
% 8.28/6.47 tff(33735,plain,
% 8.28/6.47 ((~(v181(constB174) | v185(constB174))) | v181(constB174) | v185(constB174)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33736,plain,
% 8.28/6.47 (~(v181(constB174) | v185(constB174))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33735, 33734, 33545])).
% 8.28/6.47 tff(33737,plain,
% 8.28/6.47 ((~(v178(constB174) <=> (v181(constB174) | v185(constB174)))) | (~v178(constB174)) | (v181(constB174) | v185(constB174))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33738,plain,
% 8.28/6.47 (~v178(constB174)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33737, 33736, 33520])).
% 8.28/6.47 tff(33739,plain,
% 8.28/6.47 ((~(v180(constB175) <=> v178(constB174))) | (~v180(constB175)) | v178(constB174)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33740,plain,
% 8.28/6.47 (~v180(constB175)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33739, 33738, 33518])).
% 8.28/6.47 tff(33741,plain,
% 8.28/6.47 ($false),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33740, 33514])).
% 8.28/6.47 tff(33742,plain,(~(constB175 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.28/6.47 tff(33743,assumption,(constB81 = VarCurr!0), introduced(assumption)).
% 8.28/6.47 tff(33744,plain,
% 8.28/6.47 (v180(constB81) <=> v180(VarCurr!0)),
% 8.28/6.47 inference(monotonicity,[status(thm)],[33743])).
% 8.28/6.47 tff(33745,plain,
% 8.28/6.47 (v180(VarCurr!0) <=> v180(constB81)),
% 8.28/6.47 inference(symmetry,[status(thm)],[33744])).
% 8.28/6.47 tff(33746,plain,
% 8.28/6.47 (v180(constB81)),
% 8.28/6.47 inference(modus_ponens,[status(thm)],[59, 33745])).
% 8.28/6.47 tff(33747,plain,
% 8.28/6.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB80, constB81)) | (v180(constB81) <=> v178(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB80, constB81)) | (v180(constB81) <=> v178(constB80)))),
% 8.28/6.47 inference(rewrite,[status(thm)],[])).
% 8.28/6.47 tff(33748,plain,
% 8.28/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB80, constB81)) | (v180(constB81) <=> v178(constB80)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33749,plain,
% 8.28/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB80, constB81)) | (v180(constB81) <=> v178(constB80))),
% 8.28/6.47 inference(modus_ponens,[status(thm)],[33748, 33747])).
% 8.28/6.47 tff(33750,plain,
% 8.28/6.47 (v180(constB81) <=> v178(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33749, 1289, 70])).
% 8.28/6.47 tff(33751,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB80) <=> (v181(constB80) | v185(constB80)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33752,plain,
% 8.28/6.47 (v178(constB80) <=> (v181(constB80) | v185(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33751, 84])).
% 8.28/6.47 tff(33753,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB80) <=> (~((~v186(constB80)) | (~v187(constB80)))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33754,plain,
% 8.28/6.47 (v185(constB80) <=> (~((~v186(constB80)) | (~v187(constB80))))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33753, 96])).
% 8.28/6.47 tff(33755,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB80) <=> (~((~v184(constB80)) | (~v159(constB80)))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33756,plain,
% 8.28/6.47 (v187(constB80) <=> (~((~v184(constB80)) | (~v159(constB80))))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33755, 108])).
% 8.28/6.47 tff(33757,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33758,plain,
% 8.28/6.47 (v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80))))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33757, 120])).
% 8.28/6.47 tff(33759,plain,
% 8.28/6.47 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB80)) <=> v1(constB80))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33760,plain,
% 8.28/6.47 ((~v39(constB80)) <=> v1(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33759, 129])).
% 8.28/6.47 tff(33761,plain,
% 8.28/6.47 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80)) | (~v1(constB80))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33762,plain,
% 8.28/6.47 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33761, 10263])).
% 8.28/6.47 tff(33763,plain,
% 8.28/6.47 (~v39(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33762, 33760])).
% 8.28/6.47 tff(33764,plain,
% 8.28/6.47 (((~v39(constB80)) | (~v9(constB80))) | v39(constB80)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33765,plain,
% 8.28/6.47 ((~v39(constB80)) | (~v9(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33764, 33763])).
% 8.28/6.47 tff(33766,plain,
% 8.28/6.47 ((~(v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v184(constB80)) | (~((~v39(constB80)) | (~v9(constB80))))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33767,plain,
% 8.28/6.47 ((~(v184(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v184(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33766, 33765])).
% 8.28/6.47 tff(33768,plain,
% 8.28/6.47 (~v184(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33767, 33758])).
% 8.28/6.47 tff(33769,plain,
% 8.28/6.47 (((~v184(constB80)) | (~v159(constB80))) | v184(constB80)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33770,plain,
% 8.28/6.47 ((~v184(constB80)) | (~v159(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33769, 33768])).
% 8.28/6.47 tff(33771,plain,
% 8.28/6.47 ((~(v187(constB80) <=> (~((~v184(constB80)) | (~v159(constB80)))))) | (~v187(constB80)) | (~((~v184(constB80)) | (~v159(constB80))))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33772,plain,
% 8.28/6.47 ((~(v187(constB80) <=> (~((~v184(constB80)) | (~v159(constB80)))))) | (~v187(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33771, 33770])).
% 8.28/6.47 tff(33773,plain,
% 8.28/6.47 (~v187(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33772, 33756])).
% 8.28/6.47 tff(33774,plain,
% 8.28/6.47 (((~v186(constB80)) | (~v187(constB80))) | v187(constB80)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33775,plain,
% 8.28/6.47 ((~v186(constB80)) | (~v187(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33774, 33773])).
% 8.28/6.47 tff(33776,plain,
% 8.28/6.47 ((~(v185(constB80) <=> (~((~v186(constB80)) | (~v187(constB80)))))) | (~v185(constB80)) | (~((~v186(constB80)) | (~v187(constB80))))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33777,plain,
% 8.28/6.47 (~v185(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33776, 33775, 33754])).
% 8.28/6.47 tff(33778,plain,
% 8.28/6.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80))))))),
% 8.28/6.47 inference(rewrite,[status(thm)],[])).
% 8.28/6.47 tff(33779,plain,
% 8.28/6.47 ((v181(constB80) <=> (~((~v182(constB80)) | (~v157(constB80))))) <=> (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80)))))),
% 8.28/6.47 inference(rewrite,[status(thm)],[])).
% 8.28/6.47 tff(33780,plain,
% 8.28/6.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v182(constB80)) | (~v157(constB80)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80))))))),
% 8.28/6.47 inference(monotonicity,[status(thm)],[33779])).
% 8.28/6.47 tff(33781,plain,
% 8.28/6.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v182(constB80)) | (~v157(constB80)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80))))))),
% 8.28/6.47 inference(transitivity,[status(thm)],[33780, 33778])).
% 8.28/6.47 tff(33782,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v182(constB80)) | (~v157(constB80)))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33783,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80)))))),
% 8.28/6.47 inference(modus_ponens,[status(thm)],[33782, 33781])).
% 8.28/6.47 tff(33784,plain,
% 8.28/6.47 (v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80))))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33783, 161])).
% 8.28/6.47 tff(33785,plain,
% 8.28/6.47 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB80) <=> v180(constB80))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33786,plain,
% 8.28/6.47 (v157(constB80) <=> v180(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33785, 13])).
% 8.28/6.47 tff(33787,plain,
% 8.28/6.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB79, constB80)) | (v180(constB80) <=> v178(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB79, constB80)) | (v180(constB80) <=> v178(constB79)))),
% 8.28/6.47 inference(rewrite,[status(thm)],[])).
% 8.28/6.47 tff(33788,plain,
% 8.28/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB79, constB80)) | (v180(constB80) <=> v178(constB79)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33789,plain,
% 8.28/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB79, constB80)) | (v180(constB80) <=> v178(constB79))),
% 8.28/6.47 inference(modus_ponens,[status(thm)],[33788, 33787])).
% 8.28/6.47 tff(33790,plain,
% 8.28/6.47 (v180(constB80) <=> v178(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33789, 1325, 70])).
% 8.28/6.47 tff(33791,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB79) <=> (v181(constB79) | v185(constB79)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33792,plain,
% 8.28/6.47 (v178(constB79) <=> (v181(constB79) | v185(constB79))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33791, 84])).
% 8.28/6.47 tff(33793,plain,
% 8.28/6.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79))))))),
% 8.28/6.47 inference(rewrite,[status(thm)],[])).
% 8.28/6.47 tff(33794,plain,
% 8.28/6.47 ((v181(constB79) <=> (~((~v182(constB79)) | (~v157(constB79))))) <=> (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79)))))),
% 8.28/6.47 inference(rewrite,[status(thm)],[])).
% 8.28/6.47 tff(33795,plain,
% 8.28/6.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v182(constB79)) | (~v157(constB79)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79))))))),
% 8.28/6.47 inference(monotonicity,[status(thm)],[33794])).
% 8.28/6.47 tff(33796,plain,
% 8.28/6.47 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v182(constB79)) | (~v157(constB79)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79))))))),
% 8.28/6.47 inference(transitivity,[status(thm)],[33795, 33793])).
% 8.28/6.47 tff(33797,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v182(constB79)) | (~v157(constB79)))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33798,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79)))))),
% 8.28/6.47 inference(modus_ponens,[status(thm)],[33797, 33796])).
% 8.28/6.47 tff(33799,plain,
% 8.28/6.47 (v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79))))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33798, 161])).
% 8.28/6.47 tff(33800,plain,
% 8.28/6.47 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB79)) <=> v183(constB79))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33801,plain,
% 8.28/6.47 ((~v182(constB79)) <=> v183(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33800, 193])).
% 8.28/6.47 tff(33802,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB79) <=> (v184(constB79) | v26(constB79)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33803,plain,
% 8.28/6.47 (v183(constB79) <=> (v184(constB79) | v26(constB79))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33802, 202])).
% 8.28/6.47 tff(33804,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB79) <=> (~((~v39(constB79)) | (~v9(constB79)))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33805,plain,
% 8.28/6.47 (v184(constB79) <=> (~((~v39(constB79)) | (~v9(constB79))))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33804, 120])).
% 8.28/6.47 tff(33806,plain,
% 8.28/6.47 (((~![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)))),
% 8.28/6.47 inference(rewrite,[status(thm)],[])).
% 8.28/6.47 tff(33807,plain,
% 8.28/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33808,plain,
% 8.28/6.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79))),
% 8.28/6.47 inference(modus_ponens,[status(thm)],[33807, 33806])).
% 8.28/6.47 tff(33809,plain,
% 8.28/6.47 (v13(constB80) <=> v9(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33808, 1325, 216])).
% 8.28/6.47 tff(33810,plain,
% 8.28/6.47 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB80) <=> v13(constB80))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33811,plain,
% 8.28/6.47 (v6(constB80) <=> v13(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33810, 230])).
% 8.28/6.47 tff(33812,plain,
% 8.28/6.47 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB80)) <=> v6(constB80))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33813,plain,
% 8.28/6.47 ((~v21(constB80)) <=> v6(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33812, 239])).
% 8.28/6.47 tff(33814,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB80) <=> (v20(constB80) | v21(constB80)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33815,plain,
% 8.28/6.47 (v19(constB80) <=> (v20(constB80) | v21(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33814, 248])).
% 8.28/6.47 tff(33816,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80)))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33817,plain,
% 8.28/6.47 (v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80))))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33816, 260])).
% 8.28/6.47 tff(33818,plain,
% 8.28/6.47 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB80)) <=> v18(constB80))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33819,plain,
% 8.28/6.47 ((~v4(constB80)) <=> v18(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33818, 269])).
% 8.28/6.47 tff(33820,plain,
% 8.28/6.47 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB80)),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33821,plain,
% 8.28/6.47 (v4(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33820, 278])).
% 8.28/6.47 tff(33822,plain,
% 8.28/6.47 ((~((~v4(constB80)) <=> v18(constB80))) | (~v4(constB80)) | (~v18(constB80))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33823,plain,
% 8.28/6.47 (~v18(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33822, 33821, 33819])).
% 8.28/6.47 tff(33824,plain,
% 8.28/6.47 ((~(v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80)))))) | v18(constB80) | ((~v19(constB80)) | (~v22(constB80)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33825,plain,
% 8.28/6.47 ((~v19(constB80)) | (~v22(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33824, 33823, 33817])).
% 8.28/6.47 tff(33826,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB80) <=> (v1(constB80) | v6(constB80)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33827,plain,
% 8.28/6.47 (v22(constB80) <=> (v1(constB80) | v6(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33826, 291])).
% 8.28/6.47 tff(33828,plain,
% 8.28/6.47 ((v1(constB80) | v6(constB80)) | (~v1(constB80))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33829,plain,
% 8.28/6.47 (v1(constB80) | v6(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33828, 10263])).
% 8.28/6.47 tff(33830,plain,
% 8.28/6.47 ((~(v22(constB80) <=> (v1(constB80) | v6(constB80)))) | v22(constB80) | (~(v1(constB80) | v6(constB80)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33831,plain,
% 8.28/6.47 ((~(v22(constB80) <=> (v1(constB80) | v6(constB80)))) | v22(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33830, 33829])).
% 8.28/6.47 tff(33832,plain,
% 8.28/6.47 (v22(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33831, 33827])).
% 8.28/6.47 tff(33833,plain,
% 8.28/6.47 ((~((~v19(constB80)) | (~v22(constB80)))) | (~v19(constB80)) | (~v22(constB80))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33834,plain,
% 8.28/6.47 ((~((~v19(constB80)) | (~v22(constB80)))) | (~v19(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33833, 33832])).
% 8.28/6.47 tff(33835,plain,
% 8.28/6.47 (~v19(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33834, 33825])).
% 8.28/6.47 tff(33836,plain,
% 8.28/6.47 ((~(v19(constB80) <=> (v20(constB80) | v21(constB80)))) | v19(constB80) | (~(v20(constB80) | v21(constB80)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33837,plain,
% 8.28/6.47 (~(v20(constB80) | v21(constB80))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33836, 33835, 33815])).
% 8.28/6.47 tff(33838,plain,
% 8.28/6.47 ((v20(constB80) | v21(constB80)) | (~v21(constB80))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33839,plain,
% 8.28/6.47 (~v21(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33838, 33837])).
% 8.28/6.47 tff(33840,plain,
% 8.28/6.47 ((~((~v21(constB80)) <=> v6(constB80))) | v21(constB80) | v6(constB80)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33841,plain,
% 8.28/6.47 (v6(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33840, 33839, 33813])).
% 8.28/6.47 tff(33842,plain,
% 8.28/6.47 ((~(v6(constB80) <=> v13(constB80))) | (~v6(constB80)) | v13(constB80)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33843,plain,
% 8.28/6.47 (v13(constB80)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33842, 33841, 33811])).
% 8.28/6.47 tff(33844,plain,
% 8.28/6.47 ((~(v13(constB80) <=> v9(constB79))) | (~v13(constB80)) | v9(constB79)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33845,plain,
% 8.28/6.47 (v9(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33844, 33843, 33809])).
% 8.28/6.47 tff(33846,plain,
% 8.28/6.47 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB79)) <=> v1(constB79))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33847,plain,
% 8.28/6.47 ((~v39(constB79)) <=> v1(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33846, 129])).
% 8.28/6.47 tff(33848,plain,
% 8.28/6.47 ((~((~v39(constB79)) <=> v1(constB79))) | v39(constB79) | v1(constB79)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33849,plain,
% 8.28/6.47 ((~((~v39(constB79)) <=> v1(constB79))) | v39(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33848, 1369])).
% 8.28/6.47 tff(33850,plain,
% 8.28/6.47 (v39(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33849, 33847])).
% 8.28/6.47 tff(33851,plain,
% 8.28/6.47 ((~((~v39(constB79)) | (~v9(constB79)))) | (~v39(constB79)) | (~v9(constB79))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33852,plain,
% 8.28/6.47 ((~((~v39(constB79)) | (~v9(constB79)))) | (~v9(constB79))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33851, 33850])).
% 8.28/6.47 tff(33853,plain,
% 8.28/6.47 (~((~v39(constB79)) | (~v9(constB79)))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33852, 33845])).
% 8.28/6.47 tff(33854,plain,
% 8.28/6.47 ((~(v184(constB79) <=> (~((~v39(constB79)) | (~v9(constB79)))))) | v184(constB79) | ((~v39(constB79)) | (~v9(constB79)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33855,plain,
% 8.28/6.47 (v184(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33854, 33853, 33805])).
% 8.28/6.47 tff(33856,plain,
% 8.28/6.47 ((v184(constB79) | v26(constB79)) | (~v184(constB79))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33857,plain,
% 8.28/6.47 (v184(constB79) | v26(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33856, 33855])).
% 8.28/6.47 tff(33858,plain,
% 8.28/6.47 ((~(v183(constB79) <=> (v184(constB79) | v26(constB79)))) | v183(constB79) | (~(v184(constB79) | v26(constB79)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33859,plain,
% 8.28/6.47 (v183(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33858, 33857, 33803])).
% 8.28/6.47 tff(33860,plain,
% 8.28/6.47 ((~((~v182(constB79)) <=> v183(constB79))) | (~v182(constB79)) | (~v183(constB79))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33861,plain,
% 8.28/6.47 (~v182(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33860, 33859, 33801])).
% 8.28/6.47 tff(33862,plain,
% 8.28/6.47 (((~v157(constB79)) | (~v182(constB79))) | v182(constB79)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33863,plain,
% 8.28/6.47 ((~v157(constB79)) | (~v182(constB79))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33862, 33861])).
% 8.28/6.47 tff(33864,plain,
% 8.28/6.47 ((~(v181(constB79) <=> (~((~v157(constB79)) | (~v182(constB79)))))) | (~v181(constB79)) | (~((~v157(constB79)) | (~v182(constB79))))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33865,plain,
% 8.28/6.47 (~v181(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33864, 33863, 33799])).
% 8.28/6.47 tff(33866,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB79) <=> (~((~v186(constB79)) | (~v187(constB79)))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33867,plain,
% 8.28/6.47 (v185(constB79) <=> (~((~v186(constB79)) | (~v187(constB79))))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33866, 96])).
% 8.28/6.47 tff(33868,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB79) <=> (~((~v184(constB79)) | (~v159(constB79)))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33869,plain,
% 8.28/6.47 (v187(constB79) <=> (~((~v184(constB79)) | (~v159(constB79))))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33868, 108])).
% 8.28/6.47 tff(33870,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB79) <=> v161(constB79))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33871,plain,
% 8.28/6.47 (v159(constB79) <=> v161(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33870, 345])).
% 8.28/6.47 tff(33872,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB79) <=> (v145(constB79) | v165(constB79)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33873,plain,
% 8.28/6.47 (v164(constB79) <=> (v145(constB79) | v165(constB79))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33872, 357])).
% 8.28/6.47 tff(33874,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB79) <=> (v142(constB79) | v166(constB79)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33875,plain,
% 8.28/6.47 (v165(constB79) <=> (v142(constB79) | v166(constB79))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33874, 369])).
% 8.28/6.47 tff(33876,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB79) <=> (v141(constB79) | v167(constB79)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33877,plain,
% 8.28/6.47 (v166(constB79) <=> (v141(constB79) | v167(constB79))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33876, 381])).
% 8.28/6.47 tff(33878,plain,
% 8.28/6.47 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0))))))),
% 8.28/6.47 inference(rewrite,[status(thm)],[])).
% 8.28/6.47 tff(33879,plain,
% 8.28/6.47 ((v141(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0))))) <=> (v141(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))))),
% 8.28/6.47 inference(rewrite,[status(thm)],[])).
% 8.28/6.47 tff(33880,plain,
% 8.28/6.47 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0))))))),
% 8.28/6.47 inference(monotonicity,[status(thm)],[33879])).
% 8.28/6.47 tff(33881,plain,
% 8.28/6.47 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0))))))),
% 8.28/6.47 inference(transitivity,[status(thm)],[33880, 33878])).
% 8.28/6.47 tff(33882,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB79) <=> (~(v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | (~v88(constB79, bitIndex0)))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33883,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))))),
% 8.28/6.47 inference(modus_ponens,[status(thm)],[33882, 33881])).
% 8.28/6.47 tff(33884,plain,
% 8.28/6.47 (v141(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0))))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33883, 396])).
% 8.28/6.47 tff(33885,plain,
% 8.28/6.47 ((~![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))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33886,plain,
% 8.28/6.47 (~(((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)) | ((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)) | ((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0)))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33885, 416])).
% 8.28/6.47 tff(33887,plain,
% 8.28/6.47 ((((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)) | ((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)) | ((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0))) | (~((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33888,plain,
% 8.28/6.47 (~((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33887, 33886])).
% 8.28/6.47 tff(33889,plain,
% 8.28/6.47 (((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)) | (~v88(constB79, bitIndex2)) | v90(constB79, bitIndex2)),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33890,plain,
% 8.28/6.47 (~v88(constB79, bitIndex2)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33889, 10185, 33888])).
% 8.28/6.47 tff(33891,plain,
% 8.28/6.47 ((((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)) | ((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)) | ((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0))) | (~((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33892,plain,
% 8.28/6.47 (~((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33891, 33886])).
% 8.28/6.47 tff(33893,plain,
% 8.28/6.47 (((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0)) | v88(constB79, bitIndex0) | (~v90(constB79, bitIndex0))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33894,plain,
% 8.28/6.47 (v88(constB79, bitIndex0)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33893, 10203, 33892])).
% 8.28/6.47 tff(33895,plain,
% 8.28/6.47 ((((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)) | ((~v88(constB79, bitIndex2)) <=> v90(constB79, bitIndex2)) | ((~v88(constB79, bitIndex0)) <=> v90(constB79, bitIndex0))) | (~((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33896,plain,
% 8.28/6.47 (~((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33895, 33886])).
% 8.28/6.47 tff(33897,plain,
% 8.28/6.47 (((~v88(constB79, bitIndex1)) <=> v90(constB79, bitIndex1)) | v88(constB79, bitIndex1) | (~v90(constB79, bitIndex1))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33898,plain,
% 8.28/6.47 (v88(constB79, bitIndex1)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33897, 10221, 33896])).
% 8.28/6.47 tff(33899,plain,
% 8.28/6.47 ((~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33900,plain,
% 8.28/6.47 (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33899, 33898, 33894, 33890])).
% 8.28/6.47 tff(33901,plain,
% 8.28/6.47 ((~(v141(constB79) <=> (~((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))))) | v141(constB79) | ((~v88(constB79, bitIndex1)) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33902,plain,
% 8.28/6.47 (v141(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33901, 33900, 33884])).
% 8.28/6.47 tff(33903,plain,
% 8.28/6.47 ((v141(constB79) | v167(constB79)) | (~v141(constB79))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33904,plain,
% 8.28/6.47 (v141(constB79) | v167(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33903, 33902])).
% 8.28/6.47 tff(33905,plain,
% 8.28/6.47 ((~(v166(constB79) <=> (v141(constB79) | v167(constB79)))) | v166(constB79) | (~(v141(constB79) | v167(constB79)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33906,plain,
% 8.28/6.47 (v166(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33905, 33904, 33877])).
% 8.28/6.47 tff(33907,plain,
% 8.28/6.47 ((v142(constB79) | v166(constB79)) | (~v166(constB79))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33908,plain,
% 8.28/6.47 (v142(constB79) | v166(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33907, 33906])).
% 8.28/6.47 tff(33909,plain,
% 8.28/6.47 ((~(v165(constB79) <=> (v142(constB79) | v166(constB79)))) | v165(constB79) | (~(v142(constB79) | v166(constB79)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33910,plain,
% 8.28/6.47 ((~(v165(constB79) <=> (v142(constB79) | v166(constB79)))) | v165(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33909, 33908])).
% 8.28/6.47 tff(33911,plain,
% 8.28/6.47 (v165(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33910, 33875])).
% 8.28/6.47 tff(33912,plain,
% 8.28/6.47 ((v145(constB79) | v165(constB79)) | (~v165(constB79))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33913,plain,
% 8.28/6.47 (v145(constB79) | v165(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33912, 33911])).
% 8.28/6.47 tff(33914,plain,
% 8.28/6.47 ((~(v164(constB79) <=> (v145(constB79) | v165(constB79)))) | v164(constB79) | (~(v145(constB79) | v165(constB79)))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33915,plain,
% 8.28/6.47 (v164(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33914, 33913, 33873])).
% 8.28/6.47 tff(33916,plain,
% 8.28/6.47 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB79)) | (v161(constB79) <=> v168(constB79)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB79)) | (v161(constB79) <=> v168(constB79)))),
% 8.28/6.47 inference(rewrite,[status(thm)],[])).
% 8.28/6.47 tff(33917,plain,
% 8.28/6.47 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB79)) | (v161(constB79) <=> v168(constB79)))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33918,plain,
% 8.28/6.47 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB79)) | (v161(constB79) <=> v168(constB79))),
% 8.28/6.47 inference(modus_ponens,[status(thm)],[33917, 33916])).
% 8.28/6.47 tff(33919,plain,
% 8.28/6.47 ((~v164(constB79)) | (v161(constB79) <=> v168(constB79))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33918, 12128])).
% 8.28/6.47 tff(33920,plain,
% 8.28/6.47 (v161(constB79) <=> v168(constB79)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33919, 33915])).
% 8.28/6.47 tff(33921,plain,
% 8.28/6.47 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2))))),
% 8.28/6.47 inference(quant_inst,[status(thm)],[])).
% 8.28/6.47 tff(33922,plain,
% 8.28/6.47 (v139(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2)))),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33921, 12146])).
% 8.28/6.47 tff(33923,plain,
% 8.28/6.47 ((v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2)) | (~v88(constB79, bitIndex0))),
% 8.28/6.47 inference(tautology,[status(thm)],[])).
% 8.28/6.47 tff(33924,plain,
% 8.28/6.47 (v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2)),
% 8.28/6.47 inference(unit_resolution,[status(thm)],[33923, 33894])).
% 8.28/6.47 tff(33925,plain,
% 8.28/6.47 ((~(v139(constB79) <=> (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2))))) | (~v139(constB79)) | (~(v88(constB79, bitIndex0) | v88(constB79, bitIndex1) | v88(constB79, bitIndex2)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33926,plain,
% 8.36/6.48 (~v139(constB79)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33925, 33924, 33922])).
% 8.36/6.48 tff(33927,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB79) <=> (~(v88(constB79, bitIndex1) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(33928,plain,
% 8.36/6.48 (v140(constB79) <=> (~(v88(constB79, bitIndex1) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0))))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33927, 12165])).
% 8.36/6.48 tff(33929,plain,
% 8.36/6.48 ((v88(constB79, bitIndex1) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0))) | (~v88(constB79, bitIndex1))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33930,plain,
% 8.36/6.48 (v88(constB79, bitIndex1) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33929, 33898])).
% 8.36/6.48 tff(33931,plain,
% 8.36/6.48 ((~(v140(constB79) <=> (~(v88(constB79, bitIndex1) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0)))))) | (~v140(constB79)) | (~(v88(constB79, bitIndex1) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex0))))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33932,plain,
% 8.36/6.48 (~v140(constB79)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33931, 33930, 33928])).
% 8.36/6.48 tff(33933,plain,
% 8.36/6.48 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB79) | v139(constB79) | (~v168(constB79)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB79) | v139(constB79) | (~v168(constB79)))),
% 8.36/6.48 inference(rewrite,[status(thm)],[])).
% 8.36/6.48 tff(33934,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB79) | v139(constB79) | (~v168(constB79)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(33935,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB79) | v139(constB79) | (~v168(constB79))),
% 8.36/6.48 inference(modus_ponens,[status(thm)],[33934, 33933])).
% 8.36/6.48 tff(33936,plain,
% 8.36/6.48 (v140(constB79) | v139(constB79) | (~v168(constB79))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33935, 12184])).
% 8.36/6.48 tff(33937,plain,
% 8.36/6.48 (~v168(constB79)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33936, 33932, 33926])).
% 8.36/6.48 tff(33938,plain,
% 8.36/6.48 ((~(v161(constB79) <=> v168(constB79))) | (~v161(constB79)) | v168(constB79)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33939,plain,
% 8.36/6.48 ((~(v161(constB79) <=> v168(constB79))) | (~v161(constB79))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33938, 33937])).
% 8.36/6.48 tff(33940,plain,
% 8.36/6.48 (~v161(constB79)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33939, 33920])).
% 8.36/6.48 tff(33941,plain,
% 8.36/6.48 ((~(v159(constB79) <=> v161(constB79))) | (~v159(constB79)) | v161(constB79)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33942,plain,
% 8.36/6.48 ((~(v159(constB79) <=> v161(constB79))) | (~v159(constB79))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33941, 33940])).
% 8.36/6.48 tff(33943,plain,
% 8.36/6.48 (~v159(constB79)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33942, 33871])).
% 8.36/6.48 tff(33944,plain,
% 8.36/6.48 (((~v184(constB79)) | (~v159(constB79))) | v159(constB79)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33945,plain,
% 8.36/6.48 ((~v184(constB79)) | (~v159(constB79))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33944, 33943])).
% 8.36/6.48 tff(33946,plain,
% 8.36/6.48 ((~(v187(constB79) <=> (~((~v184(constB79)) | (~v159(constB79)))))) | (~v187(constB79)) | (~((~v184(constB79)) | (~v159(constB79))))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33947,plain,
% 8.36/6.48 (~v187(constB79)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33946, 33945, 33869])).
% 8.36/6.48 tff(33948,plain,
% 8.36/6.48 (((~v186(constB79)) | (~v187(constB79))) | v187(constB79)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33949,plain,
% 8.36/6.48 ((~v186(constB79)) | (~v187(constB79))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33948, 33947])).
% 8.36/6.48 tff(33950,plain,
% 8.36/6.48 ((~(v185(constB79) <=> (~((~v186(constB79)) | (~v187(constB79)))))) | (~v185(constB79)) | (~((~v186(constB79)) | (~v187(constB79))))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33951,plain,
% 8.36/6.48 (~v185(constB79)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33950, 33949, 33867])).
% 8.36/6.48 tff(33952,plain,
% 8.36/6.48 ((~(v181(constB79) | v185(constB79))) | v181(constB79) | v185(constB79)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33953,plain,
% 8.36/6.48 (~(v181(constB79) | v185(constB79))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33952, 33951, 33865])).
% 8.36/6.48 tff(33954,plain,
% 8.36/6.48 ((~(v178(constB79) <=> (v181(constB79) | v185(constB79)))) | (~v178(constB79)) | (v181(constB79) | v185(constB79))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33955,plain,
% 8.36/6.48 (~v178(constB79)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33954, 33953, 33792])).
% 8.36/6.48 tff(33956,plain,
% 8.36/6.48 ((~(v180(constB80) <=> v178(constB79))) | (~v180(constB80)) | v178(constB79)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33957,plain,
% 8.36/6.48 (~v180(constB80)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33956, 33955, 33790])).
% 8.36/6.48 tff(33958,plain,
% 8.36/6.48 ((~(v157(constB80) <=> v180(constB80))) | (~v157(constB80)) | v180(constB80)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33959,plain,
% 8.36/6.48 (~v157(constB80)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33958, 33957, 33786])).
% 8.36/6.48 tff(33960,plain,
% 8.36/6.48 (((~v157(constB80)) | (~v182(constB80))) | v157(constB80)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33961,plain,
% 8.36/6.48 ((~v157(constB80)) | (~v182(constB80))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33960, 33959])).
% 8.36/6.48 tff(33962,plain,
% 8.36/6.48 ((~(v181(constB80) <=> (~((~v157(constB80)) | (~v182(constB80)))))) | (~v181(constB80)) | (~((~v157(constB80)) | (~v182(constB80))))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33963,plain,
% 8.36/6.48 (~v181(constB80)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33962, 33961, 33784])).
% 8.36/6.48 tff(33964,plain,
% 8.36/6.48 ((~(v181(constB80) | v185(constB80))) | v181(constB80) | v185(constB80)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33965,plain,
% 8.36/6.48 (~(v181(constB80) | v185(constB80))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33964, 33963, 33777])).
% 8.36/6.48 tff(33966,plain,
% 8.36/6.48 ((~(v178(constB80) <=> (v181(constB80) | v185(constB80)))) | (~v178(constB80)) | (v181(constB80) | v185(constB80))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33967,plain,
% 8.36/6.48 (~v178(constB80)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33966, 33965, 33752])).
% 8.36/6.48 tff(33968,plain,
% 8.36/6.48 ((~(v180(constB81) <=> v178(constB80))) | (~v180(constB81)) | v178(constB80)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33969,plain,
% 8.36/6.48 (~v180(constB81)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33968, 33967, 33750])).
% 8.36/6.48 tff(33970,plain,
% 8.36/6.48 ($false),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33969, 33746])).
% 8.36/6.48 tff(33971,plain,(~(constB81 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.36/6.48 tff(33972,assumption,(constB51 = VarCurr!0), introduced(assumption)).
% 8.36/6.48 tff(33973,plain,
% 8.36/6.48 (v180(constB51) <=> v180(VarCurr!0)),
% 8.36/6.48 inference(monotonicity,[status(thm)],[33972])).
% 8.36/6.48 tff(33974,plain,
% 8.36/6.48 (v180(VarCurr!0) <=> v180(constB51)),
% 8.36/6.48 inference(symmetry,[status(thm)],[33973])).
% 8.36/6.48 tff(33975,plain,
% 8.36/6.48 (v180(constB51)),
% 8.36/6.48 inference(modus_ponens,[status(thm)],[59, 33974])).
% 8.36/6.48 tff(33976,plain,
% 8.36/6.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB50, constB51)) | (v180(constB51) <=> v178(constB50)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB50, constB51)) | (v180(constB51) <=> v178(constB50)))),
% 8.36/6.48 inference(rewrite,[status(thm)],[])).
% 8.36/6.48 tff(33977,plain,
% 8.36/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB50, constB51)) | (v180(constB51) <=> v178(constB50)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(33978,plain,
% 8.36/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB50, constB51)) | (v180(constB51) <=> v178(constB50))),
% 8.36/6.48 inference(modus_ponens,[status(thm)],[33977, 33976])).
% 8.36/6.48 tff(33979,plain,
% 8.36/6.48 (v180(constB51) <=> v178(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33978, 2254, 70])).
% 8.36/6.48 tff(33980,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB50) <=> (v181(constB50) | v185(constB50)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(33981,plain,
% 8.36/6.48 (v178(constB50) <=> (v181(constB50) | v185(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33980, 84])).
% 8.36/6.48 tff(33982,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB50) <=> (~((~v186(constB50)) | (~v187(constB50)))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(33983,plain,
% 8.36/6.48 (v185(constB50) <=> (~((~v186(constB50)) | (~v187(constB50))))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33982, 96])).
% 8.36/6.48 tff(33984,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB50) <=> (~((~v184(constB50)) | (~v159(constB50)))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(33985,plain,
% 8.36/6.48 (v187(constB50) <=> (~((~v184(constB50)) | (~v159(constB50))))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33984, 108])).
% 8.36/6.48 tff(33986,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(33987,plain,
% 8.36/6.48 (v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50))))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33986, 120])).
% 8.36/6.48 tff(33988,plain,
% 8.36/6.48 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB50)) <=> v1(constB50))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(33989,plain,
% 8.36/6.48 ((~v39(constB50)) <=> v1(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33988, 129])).
% 8.36/6.48 tff(33990,plain,
% 8.36/6.48 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50)) | (~v1(constB50))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33991,plain,
% 8.36/6.48 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33990, 7919])).
% 8.36/6.48 tff(33992,plain,
% 8.36/6.48 (~v39(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33991, 33989])).
% 8.36/6.48 tff(33993,plain,
% 8.36/6.48 (((~v39(constB50)) | (~v9(constB50))) | v39(constB50)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33994,plain,
% 8.36/6.48 ((~v39(constB50)) | (~v9(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33993, 33992])).
% 8.36/6.48 tff(33995,plain,
% 8.36/6.48 ((~(v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v184(constB50)) | (~((~v39(constB50)) | (~v9(constB50))))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33996,plain,
% 8.36/6.48 ((~(v184(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v184(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33995, 33994])).
% 8.36/6.48 tff(33997,plain,
% 8.36/6.48 (~v184(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33996, 33987])).
% 8.36/6.48 tff(33998,plain,
% 8.36/6.48 (((~v184(constB50)) | (~v159(constB50))) | v184(constB50)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(33999,plain,
% 8.36/6.48 ((~v184(constB50)) | (~v159(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[33998, 33997])).
% 8.36/6.48 tff(34000,plain,
% 8.36/6.48 ((~(v187(constB50) <=> (~((~v184(constB50)) | (~v159(constB50)))))) | (~v187(constB50)) | (~((~v184(constB50)) | (~v159(constB50))))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34001,plain,
% 8.36/6.48 ((~(v187(constB50) <=> (~((~v184(constB50)) | (~v159(constB50)))))) | (~v187(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34000, 33999])).
% 8.36/6.48 tff(34002,plain,
% 8.36/6.48 (~v187(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34001, 33985])).
% 8.36/6.48 tff(34003,plain,
% 8.36/6.48 (((~v186(constB50)) | (~v187(constB50))) | v187(constB50)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34004,plain,
% 8.36/6.48 ((~v186(constB50)) | (~v187(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34003, 34002])).
% 8.36/6.48 tff(34005,plain,
% 8.36/6.48 ((~(v185(constB50) <=> (~((~v186(constB50)) | (~v187(constB50)))))) | (~v185(constB50)) | (~((~v186(constB50)) | (~v187(constB50))))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34006,plain,
% 8.36/6.48 (~v185(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34005, 34004, 33983])).
% 8.36/6.48 tff(34007,plain,
% 8.36/6.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50))))))),
% 8.36/6.48 inference(rewrite,[status(thm)],[])).
% 8.36/6.48 tff(34008,plain,
% 8.36/6.48 ((v181(constB50) <=> (~((~v182(constB50)) | (~v157(constB50))))) <=> (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50)))))),
% 8.36/6.48 inference(rewrite,[status(thm)],[])).
% 8.36/6.48 tff(34009,plain,
% 8.36/6.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v182(constB50)) | (~v157(constB50)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50))))))),
% 8.36/6.48 inference(monotonicity,[status(thm)],[34008])).
% 8.36/6.48 tff(34010,plain,
% 8.36/6.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v182(constB50)) | (~v157(constB50)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50))))))),
% 8.36/6.48 inference(transitivity,[status(thm)],[34009, 34007])).
% 8.36/6.48 tff(34011,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v182(constB50)) | (~v157(constB50)))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34012,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50)))))),
% 8.36/6.48 inference(modus_ponens,[status(thm)],[34011, 34010])).
% 8.36/6.48 tff(34013,plain,
% 8.36/6.48 (v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50))))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34012, 161])).
% 8.36/6.48 tff(34014,plain,
% 8.36/6.48 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB50) <=> v180(constB50))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34015,plain,
% 8.36/6.48 (v157(constB50) <=> v180(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34014, 13])).
% 8.36/6.48 tff(34016,plain,
% 8.36/6.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB49, constB50)) | (v180(constB50) <=> v178(constB49)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB49, constB50)) | (v180(constB50) <=> v178(constB49)))),
% 8.36/6.48 inference(rewrite,[status(thm)],[])).
% 8.36/6.48 tff(34017,plain,
% 8.36/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB49, constB50)) | (v180(constB50) <=> v178(constB49)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34018,plain,
% 8.36/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB49, constB50)) | (v180(constB50) <=> v178(constB49))),
% 8.36/6.48 inference(modus_ponens,[status(thm)],[34017, 34016])).
% 8.36/6.48 tff(34019,plain,
% 8.36/6.48 (v180(constB50) <=> v178(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34018, 2290, 70])).
% 8.36/6.48 tff(34020,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB49) <=> (v181(constB49) | v185(constB49)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34021,plain,
% 8.36/6.48 (v178(constB49) <=> (v181(constB49) | v185(constB49))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34020, 84])).
% 8.36/6.48 tff(34022,plain,
% 8.36/6.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49))))))),
% 8.36/6.48 inference(rewrite,[status(thm)],[])).
% 8.36/6.48 tff(34023,plain,
% 8.36/6.48 ((v181(constB49) <=> (~((~v182(constB49)) | (~v157(constB49))))) <=> (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49)))))),
% 8.36/6.48 inference(rewrite,[status(thm)],[])).
% 8.36/6.48 tff(34024,plain,
% 8.36/6.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v182(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49))))))),
% 8.36/6.48 inference(monotonicity,[status(thm)],[34023])).
% 8.36/6.48 tff(34025,plain,
% 8.36/6.48 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v182(constB49)) | (~v157(constB49)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49))))))),
% 8.36/6.48 inference(transitivity,[status(thm)],[34024, 34022])).
% 8.36/6.48 tff(34026,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v182(constB49)) | (~v157(constB49)))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34027,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49)))))),
% 8.36/6.48 inference(modus_ponens,[status(thm)],[34026, 34025])).
% 8.36/6.48 tff(34028,plain,
% 8.36/6.48 (v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49))))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34027, 161])).
% 8.36/6.48 tff(34029,plain,
% 8.36/6.48 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB49)) <=> v183(constB49))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34030,plain,
% 8.36/6.48 ((~v182(constB49)) <=> v183(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34029, 193])).
% 8.36/6.48 tff(34031,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB49) <=> (v184(constB49) | v26(constB49)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34032,plain,
% 8.36/6.48 (v183(constB49) <=> (v184(constB49) | v26(constB49))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34031, 202])).
% 8.36/6.48 tff(34033,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34034,plain,
% 8.36/6.48 (v184(constB49) <=> (~((~v39(constB49)) | (~v9(constB49))))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34033, 120])).
% 8.36/6.48 tff(34035,plain,
% 8.36/6.48 (((~![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)))),
% 8.36/6.48 inference(rewrite,[status(thm)],[])).
% 8.36/6.48 tff(34036,plain,
% 8.36/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34037,plain,
% 8.36/6.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49))),
% 8.36/6.48 inference(modus_ponens,[status(thm)],[34036, 34035])).
% 8.36/6.48 tff(34038,plain,
% 8.36/6.48 (v13(constB50) <=> v9(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34037, 2290, 216])).
% 8.36/6.48 tff(34039,plain,
% 8.36/6.48 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB50) <=> v13(constB50))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34040,plain,
% 8.36/6.48 (v6(constB50) <=> v13(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34039, 230])).
% 8.36/6.48 tff(34041,plain,
% 8.36/6.48 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB50)) <=> v6(constB50))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34042,plain,
% 8.36/6.48 ((~v21(constB50)) <=> v6(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34041, 239])).
% 8.36/6.48 tff(34043,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB50) <=> (v20(constB50) | v21(constB50)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34044,plain,
% 8.36/6.48 (v19(constB50) <=> (v20(constB50) | v21(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34043, 248])).
% 8.36/6.48 tff(34045,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34046,plain,
% 8.36/6.48 (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50))))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34045, 260])).
% 8.36/6.48 tff(34047,plain,
% 8.36/6.48 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB50)) <=> v18(constB50))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34048,plain,
% 8.36/6.48 ((~v4(constB50)) <=> v18(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34047, 269])).
% 8.36/6.48 tff(34049,plain,
% 8.36/6.48 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB50)),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34050,plain,
% 8.36/6.48 (v4(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34049, 278])).
% 8.36/6.48 tff(34051,plain,
% 8.36/6.48 ((~((~v4(constB50)) <=> v18(constB50))) | (~v4(constB50)) | (~v18(constB50))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34052,plain,
% 8.36/6.48 (~v18(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34051, 34050, 34048])).
% 8.36/6.48 tff(34053,plain,
% 8.36/6.48 ((~(v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))) | v18(constB50) | ((~v19(constB50)) | (~v22(constB50)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34054,plain,
% 8.36/6.48 ((~v19(constB50)) | (~v22(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34053, 34052, 34046])).
% 8.36/6.48 tff(34055,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB50) <=> (v1(constB50) | v6(constB50)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34056,plain,
% 8.36/6.48 (v22(constB50) <=> (v1(constB50) | v6(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34055, 291])).
% 8.36/6.48 tff(34057,plain,
% 8.36/6.48 ((v1(constB50) | v6(constB50)) | (~v1(constB50))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34058,plain,
% 8.36/6.48 (v1(constB50) | v6(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34057, 7919])).
% 8.36/6.48 tff(34059,plain,
% 8.36/6.48 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50) | (~(v1(constB50) | v6(constB50)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34060,plain,
% 8.36/6.48 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34059, 34058])).
% 8.36/6.48 tff(34061,plain,
% 8.36/6.48 (v22(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34060, 34056])).
% 8.36/6.48 tff(34062,plain,
% 8.36/6.48 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50)) | (~v22(constB50))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34063,plain,
% 8.36/6.48 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34062, 34061])).
% 8.36/6.48 tff(34064,plain,
% 8.36/6.48 (~v19(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34063, 34054])).
% 8.36/6.48 tff(34065,plain,
% 8.36/6.48 ((~(v19(constB50) <=> (v20(constB50) | v21(constB50)))) | v19(constB50) | (~(v20(constB50) | v21(constB50)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34066,plain,
% 8.36/6.48 (~(v20(constB50) | v21(constB50))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34065, 34064, 34044])).
% 8.36/6.48 tff(34067,plain,
% 8.36/6.48 ((v20(constB50) | v21(constB50)) | (~v21(constB50))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34068,plain,
% 8.36/6.48 (~v21(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34067, 34066])).
% 8.36/6.48 tff(34069,plain,
% 8.36/6.48 ((~((~v21(constB50)) <=> v6(constB50))) | v21(constB50) | v6(constB50)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34070,plain,
% 8.36/6.48 (v6(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34069, 34068, 34042])).
% 8.36/6.48 tff(34071,plain,
% 8.36/6.48 ((~(v6(constB50) <=> v13(constB50))) | (~v6(constB50)) | v13(constB50)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34072,plain,
% 8.36/6.48 (v13(constB50)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34071, 34070, 34040])).
% 8.36/6.48 tff(34073,plain,
% 8.36/6.48 ((~(v13(constB50) <=> v9(constB49))) | (~v13(constB50)) | v9(constB49)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34074,plain,
% 8.36/6.48 (v9(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34073, 34072, 34038])).
% 8.36/6.48 tff(34075,plain,
% 8.36/6.48 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB49)) <=> v1(constB49))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34076,plain,
% 8.36/6.48 ((~v39(constB49)) <=> v1(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34075, 129])).
% 8.36/6.48 tff(34077,plain,
% 8.36/6.48 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49) | v1(constB49)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34078,plain,
% 8.36/6.48 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34077, 2329])).
% 8.36/6.48 tff(34079,plain,
% 8.36/6.48 (v39(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34078, 34076])).
% 8.36/6.48 tff(34080,plain,
% 8.36/6.48 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v39(constB49)) | (~v9(constB49))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34081,plain,
% 8.36/6.48 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v9(constB49))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34080, 34079])).
% 8.36/6.48 tff(34082,plain,
% 8.36/6.48 (~((~v39(constB49)) | (~v9(constB49)))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34081, 34074])).
% 8.36/6.48 tff(34083,plain,
% 8.36/6.48 ((~(v184(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))) | v184(constB49) | ((~v39(constB49)) | (~v9(constB49)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34084,plain,
% 8.36/6.48 (v184(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34083, 34082, 34034])).
% 8.36/6.48 tff(34085,plain,
% 8.36/6.48 ((v184(constB49) | v26(constB49)) | (~v184(constB49))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34086,plain,
% 8.36/6.48 (v184(constB49) | v26(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34085, 34084])).
% 8.36/6.48 tff(34087,plain,
% 8.36/6.48 ((~(v183(constB49) <=> (v184(constB49) | v26(constB49)))) | v183(constB49) | (~(v184(constB49) | v26(constB49)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34088,plain,
% 8.36/6.48 (v183(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34087, 34086, 34032])).
% 8.36/6.48 tff(34089,plain,
% 8.36/6.48 ((~((~v182(constB49)) <=> v183(constB49))) | (~v182(constB49)) | (~v183(constB49))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34090,plain,
% 8.36/6.48 (~v182(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34089, 34088, 34030])).
% 8.36/6.48 tff(34091,plain,
% 8.36/6.48 (((~v157(constB49)) | (~v182(constB49))) | v182(constB49)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34092,plain,
% 8.36/6.48 ((~v157(constB49)) | (~v182(constB49))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34091, 34090])).
% 8.36/6.48 tff(34093,plain,
% 8.36/6.48 ((~(v181(constB49) <=> (~((~v157(constB49)) | (~v182(constB49)))))) | (~v181(constB49)) | (~((~v157(constB49)) | (~v182(constB49))))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34094,plain,
% 8.36/6.48 (~v181(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34093, 34092, 34028])).
% 8.36/6.48 tff(34095,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB49) <=> (~((~v186(constB49)) | (~v187(constB49)))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34096,plain,
% 8.36/6.48 (v185(constB49) <=> (~((~v186(constB49)) | (~v187(constB49))))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34095, 96])).
% 8.36/6.48 tff(34097,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB49) <=> (~((~v184(constB49)) | (~v159(constB49)))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34098,plain,
% 8.36/6.48 (v187(constB49) <=> (~((~v184(constB49)) | (~v159(constB49))))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34097, 108])).
% 8.36/6.48 tff(34099,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB49) <=> v161(constB49))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34100,plain,
% 8.36/6.48 (v159(constB49) <=> v161(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34099, 345])).
% 8.36/6.48 tff(34101,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB49) <=> (v145(constB49) | v165(constB49)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34102,plain,
% 8.36/6.48 (v164(constB49) <=> (v145(constB49) | v165(constB49))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34101, 357])).
% 8.36/6.48 tff(34103,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB49) <=> (v142(constB49) | v166(constB49)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34104,plain,
% 8.36/6.48 (v165(constB49) <=> (v142(constB49) | v166(constB49))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34103, 369])).
% 8.36/6.48 tff(34105,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB49) <=> (v143(constB49) | v144(constB49)))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34106,plain,
% 8.36/6.48 (v142(constB49) <=> (v143(constB49) | v144(constB49))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34105, 21792])).
% 8.36/6.48 tff(34107,plain,
% 8.36/6.48 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~((~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~((~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0)))))),
% 8.36/6.48 inference(rewrite,[status(thm)],[])).
% 8.36/6.48 tff(34108,plain,
% 8.36/6.48 ((v144(constB49) <=> (~(v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2))))) <=> (v144(constB49) <=> (~((~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0))))),
% 8.36/6.48 inference(rewrite,[status(thm)],[])).
% 8.36/6.48 tff(34109,plain,
% 8.36/6.48 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~(v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~((~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0)))))),
% 8.36/6.48 inference(monotonicity,[status(thm)],[34108])).
% 8.36/6.48 tff(34110,plain,
% 8.36/6.48 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~(v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~((~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0)))))),
% 8.36/6.48 inference(transitivity,[status(thm)],[34109, 34107])).
% 8.36/6.48 tff(34111,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~(v88(constB49, bitIndex0) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34112,plain,
% 8.36/6.48 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB49) <=> (~((~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0))))),
% 8.36/6.48 inference(modus_ponens,[status(thm)],[34111, 34110])).
% 8.36/6.48 tff(34113,plain,
% 8.36/6.48 (v144(constB49) <=> (~((~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0)))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34112, 21807])).
% 8.36/6.48 tff(34114,plain,
% 8.36/6.48 ((~![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))))),
% 8.36/6.48 inference(quant_inst,[status(thm)],[])).
% 8.36/6.48 tff(34115,plain,
% 8.36/6.48 (~(((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)) | ((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)) | ((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0)))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34114, 416])).
% 8.36/6.48 tff(34116,plain,
% 8.36/6.48 ((((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)) | ((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)) | ((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0))) | (~((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34117,plain,
% 8.36/6.48 (~((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34116, 34115])).
% 8.36/6.48 tff(34118,plain,
% 8.36/6.48 (((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)) | v88(constB49, bitIndex2) | (~v90(constB49, bitIndex2))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34119,plain,
% 8.36/6.48 (v88(constB49, bitIndex2)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34118, 7803, 34117])).
% 8.36/6.48 tff(34120,plain,
% 8.36/6.48 ((((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)) | ((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)) | ((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0))) | (~((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34121,plain,
% 8.36/6.48 (~((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34120, 34115])).
% 8.36/6.48 tff(34122,plain,
% 8.36/6.48 (((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0)) | (~v88(constB49, bitIndex0)) | v90(constB49, bitIndex0)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34123,plain,
% 8.36/6.48 (~v88(constB49, bitIndex0)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34122, 7954, 34121])).
% 8.36/6.48 tff(34124,plain,
% 8.36/6.48 ((((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)) | ((~v88(constB49, bitIndex2)) <=> v90(constB49, bitIndex2)) | ((~v88(constB49, bitIndex0)) <=> v90(constB49, bitIndex0))) | (~((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34125,plain,
% 8.36/6.48 (~((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34124, 34115])).
% 8.36/6.48 tff(34126,plain,
% 8.36/6.48 (((~v88(constB49, bitIndex1)) <=> v90(constB49, bitIndex1)) | v88(constB49, bitIndex1) | (~v90(constB49, bitIndex1))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34127,plain,
% 8.36/6.48 (v88(constB49, bitIndex1)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34126, 7832, 34125])).
% 8.36/6.48 tff(34128,plain,
% 8.36/6.48 ((~((~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0))) | (~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0)),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34129,plain,
% 8.36/6.48 (~((~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0))),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34128, 34127, 34123, 34119])).
% 8.36/6.48 tff(34130,plain,
% 8.36/6.48 ((~(v144(constB49) <=> (~((~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0))))) | v144(constB49) | ((~v88(constB49, bitIndex1)) | (~v88(constB49, bitIndex2)) | v88(constB49, bitIndex0))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34131,plain,
% 8.36/6.48 (v144(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34130, 34129, 34113])).
% 8.36/6.48 tff(34132,plain,
% 8.36/6.48 ((v143(constB49) | v144(constB49)) | (~v144(constB49))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34133,plain,
% 8.36/6.48 (v143(constB49) | v144(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34132, 34131])).
% 8.36/6.48 tff(34134,plain,
% 8.36/6.48 ((~(v142(constB49) <=> (v143(constB49) | v144(constB49)))) | v142(constB49) | (~(v143(constB49) | v144(constB49)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34135,plain,
% 8.36/6.48 (v142(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34134, 34133, 34106])).
% 8.36/6.48 tff(34136,plain,
% 8.36/6.48 ((v142(constB49) | v166(constB49)) | (~v142(constB49))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34137,plain,
% 8.36/6.48 (v142(constB49) | v166(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34136, 34135])).
% 8.36/6.48 tff(34138,plain,
% 8.36/6.48 ((~(v165(constB49) <=> (v142(constB49) | v166(constB49)))) | v165(constB49) | (~(v142(constB49) | v166(constB49)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34139,plain,
% 8.36/6.48 ((~(v165(constB49) <=> (v142(constB49) | v166(constB49)))) | v165(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34138, 34137])).
% 8.36/6.48 tff(34140,plain,
% 8.36/6.48 (v165(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34139, 34104])).
% 8.36/6.48 tff(34141,plain,
% 8.36/6.48 ((v145(constB49) | v165(constB49)) | (~v165(constB49))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.48 tff(34142,plain,
% 8.36/6.48 (v145(constB49) | v165(constB49)),
% 8.36/6.48 inference(unit_resolution,[status(thm)],[34141, 34140])).
% 8.36/6.48 tff(34143,plain,
% 8.36/6.48 ((~(v164(constB49) <=> (v145(constB49) | v165(constB49)))) | v164(constB49) | (~(v145(constB49) | v165(constB49)))),
% 8.36/6.48 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34144,plain,
% 8.36/6.49 (v164(constB49)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34143, 34142, 34102])).
% 8.36/6.49 tff(34145,plain,
% 8.36/6.49 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB49)) | (v161(constB49) <=> v168(constB49)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB49)) | (v161(constB49) <=> v168(constB49)))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34146,plain,
% 8.36/6.49 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB49)) | (v161(constB49) <=> v168(constB49)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34147,plain,
% 8.36/6.49 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB49)) | (v161(constB49) <=> v168(constB49))),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[34146, 34145])).
% 8.36/6.49 tff(34148,plain,
% 8.36/6.49 ((~v164(constB49)) | (v161(constB49) <=> v168(constB49))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34147, 12128])).
% 8.36/6.49 tff(34149,plain,
% 8.36/6.49 (v161(constB49) <=> v168(constB49)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34148, 34144])).
% 8.36/6.49 tff(34150,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2))))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34151,plain,
% 8.36/6.49 (v139(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2)))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34150, 12146])).
% 8.36/6.49 tff(34152,plain,
% 8.36/6.49 ((v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2)) | (~v88(constB49, bitIndex2))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34153,plain,
% 8.36/6.49 (v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34152, 34119])).
% 8.36/6.49 tff(34154,plain,
% 8.36/6.49 ((~(v139(constB49) <=> (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2))))) | (~v139(constB49)) | (~(v88(constB49, bitIndex0) | v88(constB49, bitIndex1) | v88(constB49, bitIndex2)))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34155,plain,
% 8.36/6.49 (~v139(constB49)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34154, 34153, 34151])).
% 8.36/6.49 tff(34156,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB49) <=> (~(v88(constB49, bitIndex1) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex0)))))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34157,plain,
% 8.36/6.49 (v140(constB49) <=> (~(v88(constB49, bitIndex1) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex0))))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34156, 12165])).
% 8.36/6.49 tff(34158,plain,
% 8.36/6.49 ((v88(constB49, bitIndex1) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex0))) | (~v88(constB49, bitIndex2))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34159,plain,
% 8.36/6.49 (v88(constB49, bitIndex1) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex0))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34158, 34119])).
% 8.36/6.49 tff(34160,plain,
% 8.36/6.49 ((~(v140(constB49) <=> (~(v88(constB49, bitIndex1) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex0)))))) | (~v140(constB49)) | (~(v88(constB49, bitIndex1) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex0))))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34161,plain,
% 8.36/6.49 (~v140(constB49)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34160, 34159, 34157])).
% 8.36/6.49 tff(34162,plain,
% 8.36/6.49 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v168(constB49)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB49) | v139(constB49) | (~v168(constB49)))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34163,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v168(constB49)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34164,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB49) | v139(constB49) | (~v168(constB49))),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[34163, 34162])).
% 8.36/6.49 tff(34165,plain,
% 8.36/6.49 (v140(constB49) | v139(constB49) | (~v168(constB49))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34164, 12184])).
% 8.36/6.49 tff(34166,plain,
% 8.36/6.49 (~v168(constB49)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34165, 34161, 34155])).
% 8.36/6.49 tff(34167,plain,
% 8.36/6.49 ((~(v161(constB49) <=> v168(constB49))) | (~v161(constB49)) | v168(constB49)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34168,plain,
% 8.36/6.49 ((~(v161(constB49) <=> v168(constB49))) | (~v161(constB49))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34167, 34166])).
% 8.36/6.49 tff(34169,plain,
% 8.36/6.49 (~v161(constB49)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34168, 34149])).
% 8.36/6.49 tff(34170,plain,
% 8.36/6.49 ((~(v159(constB49) <=> v161(constB49))) | (~v159(constB49)) | v161(constB49)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34171,plain,
% 8.36/6.49 ((~(v159(constB49) <=> v161(constB49))) | (~v159(constB49))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34170, 34169])).
% 8.36/6.49 tff(34172,plain,
% 8.36/6.49 (~v159(constB49)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34171, 34100])).
% 8.36/6.49 tff(34173,plain,
% 8.36/6.49 (((~v184(constB49)) | (~v159(constB49))) | v159(constB49)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34174,plain,
% 8.36/6.49 ((~v184(constB49)) | (~v159(constB49))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34173, 34172])).
% 8.36/6.49 tff(34175,plain,
% 8.36/6.49 ((~(v187(constB49) <=> (~((~v184(constB49)) | (~v159(constB49)))))) | (~v187(constB49)) | (~((~v184(constB49)) | (~v159(constB49))))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34176,plain,
% 8.36/6.49 (~v187(constB49)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34175, 34174, 34098])).
% 8.36/6.49 tff(34177,plain,
% 8.36/6.49 (((~v186(constB49)) | (~v187(constB49))) | v187(constB49)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34178,plain,
% 8.36/6.49 ((~v186(constB49)) | (~v187(constB49))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34177, 34176])).
% 8.36/6.49 tff(34179,plain,
% 8.36/6.49 ((~(v185(constB49) <=> (~((~v186(constB49)) | (~v187(constB49)))))) | (~v185(constB49)) | (~((~v186(constB49)) | (~v187(constB49))))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34180,plain,
% 8.36/6.49 (~v185(constB49)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34179, 34178, 34096])).
% 8.36/6.49 tff(34181,plain,
% 8.36/6.49 ((~(v181(constB49) | v185(constB49))) | v181(constB49) | v185(constB49)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34182,plain,
% 8.36/6.49 (~(v181(constB49) | v185(constB49))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34181, 34180, 34094])).
% 8.36/6.49 tff(34183,plain,
% 8.36/6.49 ((~(v178(constB49) <=> (v181(constB49) | v185(constB49)))) | (~v178(constB49)) | (v181(constB49) | v185(constB49))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34184,plain,
% 8.36/6.49 (~v178(constB49)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34183, 34182, 34021])).
% 8.36/6.49 tff(34185,plain,
% 8.36/6.49 ((~(v180(constB50) <=> v178(constB49))) | (~v180(constB50)) | v178(constB49)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34186,plain,
% 8.36/6.49 (~v180(constB50)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34185, 34184, 34019])).
% 8.36/6.49 tff(34187,plain,
% 8.36/6.49 ((~(v157(constB50) <=> v180(constB50))) | (~v157(constB50)) | v180(constB50)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34188,plain,
% 8.36/6.49 (~v157(constB50)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34187, 34186, 34015])).
% 8.36/6.49 tff(34189,plain,
% 8.36/6.49 (((~v157(constB50)) | (~v182(constB50))) | v157(constB50)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34190,plain,
% 8.36/6.49 ((~v157(constB50)) | (~v182(constB50))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34189, 34188])).
% 8.36/6.49 tff(34191,plain,
% 8.36/6.49 ((~(v181(constB50) <=> (~((~v157(constB50)) | (~v182(constB50)))))) | (~v181(constB50)) | (~((~v157(constB50)) | (~v182(constB50))))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34192,plain,
% 8.36/6.49 (~v181(constB50)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34191, 34190, 34013])).
% 8.36/6.49 tff(34193,plain,
% 8.36/6.49 ((~(v181(constB50) | v185(constB50))) | v181(constB50) | v185(constB50)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34194,plain,
% 8.36/6.49 (~(v181(constB50) | v185(constB50))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34193, 34192, 34006])).
% 8.36/6.49 tff(34195,plain,
% 8.36/6.49 ((~(v178(constB50) <=> (v181(constB50) | v185(constB50)))) | (~v178(constB50)) | (v181(constB50) | v185(constB50))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34196,plain,
% 8.36/6.49 (~v178(constB50)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34195, 34194, 33981])).
% 8.36/6.49 tff(34197,plain,
% 8.36/6.49 ((~(v180(constB51) <=> v178(constB50))) | (~v180(constB51)) | v178(constB50)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34198,plain,
% 8.36/6.49 (~v180(constB51)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34197, 34196, 33979])).
% 8.36/6.49 tff(34199,plain,
% 8.36/6.49 ($false),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34198, 33975])).
% 8.36/6.49 tff(34200,plain,(~(constB51 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.36/6.49 tff(34201,assumption,(constB5 = VarCurr!0), introduced(assumption)).
% 8.36/6.49 tff(34202,plain,
% 8.36/6.49 (v86(constB5) <=> v86(VarCurr!0)),
% 8.36/6.49 inference(monotonicity,[status(thm)],[34201])).
% 8.36/6.49 tff(34203,plain,
% 8.36/6.49 (v86(VarCurr!0) <=> v86(constB5)),
% 8.36/6.49 inference(symmetry,[status(thm)],[34202])).
% 8.36/6.49 tff(34204,plain,
% 8.36/6.49 ((~v86(VarCurr!0)) <=> (~v86(constB5))),
% 8.36/6.49 inference(monotonicity,[status(thm)],[34203])).
% 8.36/6.49 tff(34205,plain,
% 8.36/6.49 (~v86(constB5)),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[21766, 34204])).
% 8.36/6.49 tff(34206,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB5) <=> (v136(constB5) | v145(constB5)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34207,plain,
% 8.36/6.49 (v135(constB5) <=> (v136(constB5) | v145(constB5))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34206, 21774])).
% 8.36/6.49 tff(34208,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB5) <=> (v137(constB5) | v142(constB5)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34209,plain,
% 8.36/6.49 (v136(constB5) <=> (v137(constB5) | v142(constB5))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34208, 21783])).
% 8.36/6.49 tff(34210,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB5) <=> (v143(constB5) | v144(constB5)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34211,plain,
% 8.36/6.49 (v142(constB5) <=> (v143(constB5) | v144(constB5))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34210, 21792])).
% 8.36/6.49 tff(34212,plain,
% 8.36/6.49 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~((~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~((~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0)))))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34213,plain,
% 8.36/6.49 ((v143(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1))))) <=> (v143(constB5) <=> (~((~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0))))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34214,plain,
% 8.36/6.49 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~((~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0)))))),
% 8.36/6.49 inference(monotonicity,[status(thm)],[34213])).
% 8.36/6.49 tff(34215,plain,
% 8.36/6.49 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~((~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0)))))),
% 8.36/6.49 inference(transitivity,[status(thm)],[34214, 34212])).
% 8.36/6.49 tff(34216,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~(v88(constB5, bitIndex0) | v88(constB5, bitIndex2) | (~v88(constB5, bitIndex1)))))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34217,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB5) <=> (~((~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0))))),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[34216, 34215])).
% 8.36/6.49 tff(34218,plain,
% 8.36/6.49 (v143(constB5) <=> (~((~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0)))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34217, 23745])).
% 8.36/6.49 tff(34219,plain,
% 8.36/6.49 ((~![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))))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34220,plain,
% 8.36/6.49 (~(((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)) | ((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)) | ((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0)))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34219, 416])).
% 8.36/6.49 tff(34221,plain,
% 8.36/6.49 ((((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)) | ((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)) | ((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0))) | (~((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34222,plain,
% 8.36/6.49 (~((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34221, 34220])).
% 8.36/6.49 tff(34223,plain,
% 8.36/6.49 (((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)) | (~v88(constB5, bitIndex2)) | v90(constB5, bitIndex2)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34224,plain,
% 8.36/6.49 (~v88(constB5, bitIndex2)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34223, 4339, 34222])).
% 8.36/6.49 tff(34225,plain,
% 8.36/6.49 ((((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)) | ((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)) | ((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0))) | (~((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0)))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34226,plain,
% 8.36/6.49 (~((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34225, 34220])).
% 8.36/6.49 tff(34227,plain,
% 8.36/6.49 (((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0)) | (~v88(constB5, bitIndex0)) | v90(constB5, bitIndex0)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34228,plain,
% 8.36/6.49 (~v88(constB5, bitIndex0)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34227, 4357, 34226])).
% 8.36/6.49 tff(34229,plain,
% 8.36/6.49 ((((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)) | ((~v88(constB5, bitIndex2)) <=> v90(constB5, bitIndex2)) | ((~v88(constB5, bitIndex0)) <=> v90(constB5, bitIndex0))) | (~((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34230,plain,
% 8.36/6.49 (~((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34229, 34220])).
% 8.36/6.49 tff(34231,plain,
% 8.36/6.49 (((~v88(constB5, bitIndex1)) <=> v90(constB5, bitIndex1)) | v88(constB5, bitIndex1) | (~v90(constB5, bitIndex1))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34232,plain,
% 8.36/6.49 (v88(constB5, bitIndex1)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34231, 4375, 34230])).
% 8.36/6.49 tff(34233,plain,
% 8.36/6.49 ((~((~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0))) | (~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34234,plain,
% 8.36/6.49 (~((~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34233, 34232, 34228, 34224])).
% 8.36/6.49 tff(34235,plain,
% 8.36/6.49 ((~(v143(constB5) <=> (~((~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0))))) | v143(constB5) | ((~v88(constB5, bitIndex1)) | v88(constB5, bitIndex2) | v88(constB5, bitIndex0))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34236,plain,
% 8.36/6.49 (v143(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34235, 34234, 34218])).
% 8.36/6.49 tff(34237,plain,
% 8.36/6.49 ((v143(constB5) | v144(constB5)) | (~v143(constB5))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34238,plain,
% 8.36/6.49 (v143(constB5) | v144(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34237, 34236])).
% 8.36/6.49 tff(34239,plain,
% 8.36/6.49 ((~(v142(constB5) <=> (v143(constB5) | v144(constB5)))) | v142(constB5) | (~(v143(constB5) | v144(constB5)))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34240,plain,
% 8.36/6.49 (v142(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34239, 34238, 34211])).
% 8.36/6.49 tff(34241,plain,
% 8.36/6.49 ((v137(constB5) | v142(constB5)) | (~v142(constB5))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34242,plain,
% 8.36/6.49 (v137(constB5) | v142(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34241, 34240])).
% 8.36/6.49 tff(34243,plain,
% 8.36/6.49 ((~(v136(constB5) <=> (v137(constB5) | v142(constB5)))) | v136(constB5) | (~(v137(constB5) | v142(constB5)))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34244,plain,
% 8.36/6.49 ((~(v136(constB5) <=> (v137(constB5) | v142(constB5)))) | v136(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34243, 34242])).
% 8.36/6.49 tff(34245,plain,
% 8.36/6.49 (v136(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34244, 34209])).
% 8.36/6.49 tff(34246,plain,
% 8.36/6.49 ((v136(constB5) | v145(constB5)) | (~v136(constB5))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34247,plain,
% 8.36/6.49 (v136(constB5) | v145(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34246, 34245])).
% 8.36/6.49 tff(34248,plain,
% 8.36/6.49 ((~(v135(constB5) <=> (v136(constB5) | v145(constB5)))) | v135(constB5) | (~(v136(constB5) | v145(constB5)))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34249,plain,
% 8.36/6.49 (v135(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34248, 34247, 34207])).
% 8.36/6.49 tff(34250,plain,
% 8.36/6.49 (((~![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)))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34251,plain,
% 8.36/6.49 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB5)) | (v86(constB5) <=> v148(constB5)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34252,plain,
% 8.36/6.49 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB5)) | (v86(constB5) <=> v148(constB5))),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[34251, 34250])).
% 8.36/6.49 tff(34253,plain,
% 8.36/6.49 (v86(constB5) <=> v148(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34252, 21855, 34249])).
% 8.36/6.49 tff(34254,plain,
% 8.36/6.49 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB5) | (~v142(constB5)))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34255,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB5) | (~v142(constB5)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34256,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB5) | (~v142(constB5))),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[34255, 34254])).
% 8.36/6.49 tff(34257,plain,
% 8.36/6.49 (v148(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34256, 21869, 34240])).
% 8.36/6.49 tff(34258,plain,
% 8.36/6.49 ((~(v86(constB5) <=> v148(constB5))) | v86(constB5) | (~v148(constB5))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34259,plain,
% 8.36/6.49 ((~(v86(constB5) <=> v148(constB5))) | v86(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34258, 34257])).
% 8.36/6.49 tff(34260,plain,
% 8.36/6.49 (v86(constB5)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34259, 34253])).
% 8.36/6.49 tff(34261,plain,
% 8.36/6.49 ($false),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34260, 34205])).
% 8.36/6.49 tff(34262,plain,(~(constB5 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.36/6.49 tff(34263,assumption,(constB163 = VarCurr!0), introduced(assumption)).
% 8.36/6.49 tff(34264,plain,
% 8.36/6.49 (v180(constB163) <=> v180(VarCurr!0)),
% 8.36/6.49 inference(monotonicity,[status(thm)],[34263])).
% 8.36/6.49 tff(34265,plain,
% 8.36/6.49 (v180(VarCurr!0) <=> v180(constB163)),
% 8.36/6.49 inference(symmetry,[status(thm)],[34264])).
% 8.36/6.49 tff(34266,plain,
% 8.36/6.49 (v180(constB163)),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[59, 34265])).
% 8.36/6.49 tff(34267,plain,
% 8.36/6.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB162, constB163)) | (v180(constB163) <=> v178(constB162)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB162, constB163)) | (v180(constB163) <=> v178(constB162)))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34268,plain,
% 8.36/6.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB162, constB163)) | (v180(constB163) <=> v178(constB162)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34269,plain,
% 8.36/6.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB162, constB163)) | (v180(constB163) <=> v178(constB162))),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[34268, 34267])).
% 8.36/6.49 tff(34270,plain,
% 8.36/6.49 (v180(constB163) <=> v178(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34269, 13153, 70])).
% 8.36/6.49 tff(34271,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB162) <=> (v181(constB162) | v185(constB162)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34272,plain,
% 8.36/6.49 (v178(constB162) <=> (v181(constB162) | v185(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34271, 84])).
% 8.36/6.49 tff(34273,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB162) <=> (~((~v186(constB162)) | (~v187(constB162)))))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34274,plain,
% 8.36/6.49 (v185(constB162) <=> (~((~v186(constB162)) | (~v187(constB162))))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34273, 96])).
% 8.36/6.49 tff(34275,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB162) <=> (~((~v184(constB162)) | (~v159(constB162)))))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34276,plain,
% 8.36/6.49 (v187(constB162) <=> (~((~v184(constB162)) | (~v159(constB162))))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34275, 108])).
% 8.36/6.49 tff(34277,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34278,plain,
% 8.36/6.49 (v184(constB162) <=> (~((~v39(constB162)) | (~v9(constB162))))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34277, 120])).
% 8.36/6.49 tff(34279,plain,
% 8.36/6.49 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB162)) <=> v1(constB162))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34280,plain,
% 8.36/6.49 ((~v39(constB162)) <=> v1(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34279, 129])).
% 8.36/6.49 tff(34281,plain,
% 8.36/6.49 ((~((~v39(constB162)) <=> v1(constB162))) | (~v39(constB162)) | (~v1(constB162))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34282,plain,
% 8.36/6.49 ((~((~v39(constB162)) <=> v1(constB162))) | (~v39(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34281, 19633])).
% 8.36/6.49 tff(34283,plain,
% 8.36/6.49 (~v39(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34282, 34280])).
% 8.36/6.49 tff(34284,plain,
% 8.36/6.49 (((~v39(constB162)) | (~v9(constB162))) | v39(constB162)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34285,plain,
% 8.36/6.49 ((~v39(constB162)) | (~v9(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34284, 34283])).
% 8.36/6.49 tff(34286,plain,
% 8.36/6.49 ((~(v184(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))) | (~v184(constB162)) | (~((~v39(constB162)) | (~v9(constB162))))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34287,plain,
% 8.36/6.49 ((~(v184(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))) | (~v184(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34286, 34285])).
% 8.36/6.49 tff(34288,plain,
% 8.36/6.49 (~v184(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34287, 34278])).
% 8.36/6.49 tff(34289,plain,
% 8.36/6.49 (((~v184(constB162)) | (~v159(constB162))) | v184(constB162)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34290,plain,
% 8.36/6.49 ((~v184(constB162)) | (~v159(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34289, 34288])).
% 8.36/6.49 tff(34291,plain,
% 8.36/6.49 ((~(v187(constB162) <=> (~((~v184(constB162)) | (~v159(constB162)))))) | (~v187(constB162)) | (~((~v184(constB162)) | (~v159(constB162))))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34292,plain,
% 8.36/6.49 ((~(v187(constB162) <=> (~((~v184(constB162)) | (~v159(constB162)))))) | (~v187(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34291, 34290])).
% 8.36/6.49 tff(34293,plain,
% 8.36/6.49 (~v187(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34292, 34276])).
% 8.36/6.49 tff(34294,plain,
% 8.36/6.49 (((~v186(constB162)) | (~v187(constB162))) | v187(constB162)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34295,plain,
% 8.36/6.49 ((~v186(constB162)) | (~v187(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34294, 34293])).
% 8.36/6.49 tff(34296,plain,
% 8.36/6.49 ((~(v185(constB162) <=> (~((~v186(constB162)) | (~v187(constB162)))))) | (~v185(constB162)) | (~((~v186(constB162)) | (~v187(constB162))))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34297,plain,
% 8.36/6.49 (~v185(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34296, 34295, 34274])).
% 8.36/6.49 tff(34298,plain,
% 8.36/6.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB162) <=> (~((~v157(constB162)) | (~v182(constB162)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB162) <=> (~((~v157(constB162)) | (~v182(constB162))))))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34299,plain,
% 8.36/6.49 ((v181(constB162) <=> (~((~v182(constB162)) | (~v157(constB162))))) <=> (v181(constB162) <=> (~((~v157(constB162)) | (~v182(constB162)))))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34300,plain,
% 8.36/6.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB162) <=> (~((~v182(constB162)) | (~v157(constB162)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB162) <=> (~((~v157(constB162)) | (~v182(constB162))))))),
% 8.36/6.49 inference(monotonicity,[status(thm)],[34299])).
% 8.36/6.49 tff(34301,plain,
% 8.36/6.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB162) <=> (~((~v182(constB162)) | (~v157(constB162)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB162) <=> (~((~v157(constB162)) | (~v182(constB162))))))),
% 8.36/6.49 inference(transitivity,[status(thm)],[34300, 34298])).
% 8.36/6.49 tff(34302,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB162) <=> (~((~v182(constB162)) | (~v157(constB162)))))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34303,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB162) <=> (~((~v157(constB162)) | (~v182(constB162)))))),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[34302, 34301])).
% 8.36/6.49 tff(34304,plain,
% 8.36/6.49 (v181(constB162) <=> (~((~v157(constB162)) | (~v182(constB162))))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34303, 161])).
% 8.36/6.49 tff(34305,plain,
% 8.36/6.49 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB162) <=> v180(constB162))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34306,plain,
% 8.36/6.49 (v157(constB162) <=> v180(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34305, 13])).
% 8.36/6.49 tff(34307,plain,
% 8.36/6.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB161, constB162)) | (v180(constB162) <=> v178(constB161)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB161, constB162)) | (v180(constB162) <=> v178(constB161)))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34308,plain,
% 8.36/6.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB161, constB162)) | (v180(constB162) <=> v178(constB161)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34309,plain,
% 8.36/6.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB161, constB162)) | (v180(constB162) <=> v178(constB161))),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[34308, 34307])).
% 8.36/6.49 tff(34310,plain,
% 8.36/6.49 (v180(constB162) <=> v178(constB161)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34309, 13189, 70])).
% 8.36/6.49 tff(34311,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB161) <=> (v181(constB161) | v185(constB161)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34312,plain,
% 8.36/6.49 (v178(constB161) <=> (v181(constB161) | v185(constB161))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34311, 84])).
% 8.36/6.49 tff(34313,plain,
% 8.36/6.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB161) <=> (~((~v157(constB161)) | (~v182(constB161)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB161) <=> (~((~v157(constB161)) | (~v182(constB161))))))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34314,plain,
% 8.36/6.49 ((v181(constB161) <=> (~((~v182(constB161)) | (~v157(constB161))))) <=> (v181(constB161) <=> (~((~v157(constB161)) | (~v182(constB161)))))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34315,plain,
% 8.36/6.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB161) <=> (~((~v182(constB161)) | (~v157(constB161)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB161) <=> (~((~v157(constB161)) | (~v182(constB161))))))),
% 8.36/6.49 inference(monotonicity,[status(thm)],[34314])).
% 8.36/6.49 tff(34316,plain,
% 8.36/6.49 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB161) <=> (~((~v182(constB161)) | (~v157(constB161)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB161) <=> (~((~v157(constB161)) | (~v182(constB161))))))),
% 8.36/6.49 inference(transitivity,[status(thm)],[34315, 34313])).
% 8.36/6.49 tff(34317,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB161) <=> (~((~v182(constB161)) | (~v157(constB161)))))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34318,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB161) <=> (~((~v157(constB161)) | (~v182(constB161)))))),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[34317, 34316])).
% 8.36/6.49 tff(34319,plain,
% 8.36/6.49 (v181(constB161) <=> (~((~v157(constB161)) | (~v182(constB161))))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34318, 161])).
% 8.36/6.49 tff(34320,plain,
% 8.36/6.49 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB161)) <=> v183(constB161))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34321,plain,
% 8.36/6.49 ((~v182(constB161)) <=> v183(constB161)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34320, 193])).
% 8.36/6.49 tff(34322,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB161) <=> (v184(constB161) | v26(constB161)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34323,plain,
% 8.36/6.49 (v183(constB161) <=> (v184(constB161) | v26(constB161))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34322, 202])).
% 8.36/6.49 tff(34324,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB161) <=> (~((~v39(constB161)) | (~v9(constB161)))))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34325,plain,
% 8.36/6.49 (v184(constB161) <=> (~((~v39(constB161)) | (~v9(constB161))))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34324, 120])).
% 8.36/6.49 tff(34326,plain,
% 8.36/6.49 (((~![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)))),
% 8.36/6.49 inference(rewrite,[status(thm)],[])).
% 8.36/6.49 tff(34327,plain,
% 8.36/6.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34328,plain,
% 8.36/6.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161))),
% 8.36/6.49 inference(modus_ponens,[status(thm)],[34327, 34326])).
% 8.36/6.49 tff(34329,plain,
% 8.36/6.49 (v13(constB162) <=> v9(constB161)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34328, 13189, 216])).
% 8.36/6.49 tff(34330,plain,
% 8.36/6.49 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB162) <=> v13(constB162))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34331,plain,
% 8.36/6.49 (v6(constB162) <=> v13(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34330, 230])).
% 8.36/6.49 tff(34332,plain,
% 8.36/6.49 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB162)) <=> v6(constB162))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34333,plain,
% 8.36/6.49 ((~v21(constB162)) <=> v6(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34332, 239])).
% 8.36/6.49 tff(34334,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB162) <=> (v20(constB162) | v21(constB162)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34335,plain,
% 8.36/6.49 (v19(constB162) <=> (v20(constB162) | v21(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34334, 248])).
% 8.36/6.49 tff(34336,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162)))))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34337,plain,
% 8.36/6.49 (v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162))))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34336, 260])).
% 8.36/6.49 tff(34338,plain,
% 8.36/6.49 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB162)) <=> v18(constB162))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34339,plain,
% 8.36/6.49 ((~v4(constB162)) <=> v18(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34338, 269])).
% 8.36/6.49 tff(34340,plain,
% 8.36/6.49 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB162)),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34341,plain,
% 8.36/6.49 (v4(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34340, 278])).
% 8.36/6.49 tff(34342,plain,
% 8.36/6.49 ((~((~v4(constB162)) <=> v18(constB162))) | (~v4(constB162)) | (~v18(constB162))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34343,plain,
% 8.36/6.49 (~v18(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34342, 34341, 34339])).
% 8.36/6.49 tff(34344,plain,
% 8.36/6.49 ((~(v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162)))))) | v18(constB162) | ((~v19(constB162)) | (~v22(constB162)))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34345,plain,
% 8.36/6.49 ((~v19(constB162)) | (~v22(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34344, 34343, 34337])).
% 8.36/6.49 tff(34346,plain,
% 8.36/6.49 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB162) <=> (v1(constB162) | v6(constB162)))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34347,plain,
% 8.36/6.49 (v22(constB162) <=> (v1(constB162) | v6(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34346, 291])).
% 8.36/6.49 tff(34348,plain,
% 8.36/6.49 ((v1(constB162) | v6(constB162)) | (~v1(constB162))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34349,plain,
% 8.36/6.49 (v1(constB162) | v6(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34348, 19633])).
% 8.36/6.49 tff(34350,plain,
% 8.36/6.49 ((~(v22(constB162) <=> (v1(constB162) | v6(constB162)))) | v22(constB162) | (~(v1(constB162) | v6(constB162)))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34351,plain,
% 8.36/6.49 ((~(v22(constB162) <=> (v1(constB162) | v6(constB162)))) | v22(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34350, 34349])).
% 8.36/6.49 tff(34352,plain,
% 8.36/6.49 (v22(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34351, 34347])).
% 8.36/6.49 tff(34353,plain,
% 8.36/6.49 ((~((~v19(constB162)) | (~v22(constB162)))) | (~v19(constB162)) | (~v22(constB162))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34354,plain,
% 8.36/6.49 ((~((~v19(constB162)) | (~v22(constB162)))) | (~v19(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34353, 34352])).
% 8.36/6.49 tff(34355,plain,
% 8.36/6.49 (~v19(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34354, 34345])).
% 8.36/6.49 tff(34356,plain,
% 8.36/6.49 ((~(v19(constB162) <=> (v20(constB162) | v21(constB162)))) | v19(constB162) | (~(v20(constB162) | v21(constB162)))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34357,plain,
% 8.36/6.49 (~(v20(constB162) | v21(constB162))),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34356, 34355, 34335])).
% 8.36/6.49 tff(34358,plain,
% 8.36/6.49 ((v20(constB162) | v21(constB162)) | (~v21(constB162))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34359,plain,
% 8.36/6.49 (~v21(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34358, 34357])).
% 8.36/6.49 tff(34360,plain,
% 8.36/6.49 ((~((~v21(constB162)) <=> v6(constB162))) | v21(constB162) | v6(constB162)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34361,plain,
% 8.36/6.49 (v6(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34360, 34359, 34333])).
% 8.36/6.49 tff(34362,plain,
% 8.36/6.49 ((~(v6(constB162) <=> v13(constB162))) | (~v6(constB162)) | v13(constB162)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34363,plain,
% 8.36/6.49 (v13(constB162)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34362, 34361, 34331])).
% 8.36/6.49 tff(34364,plain,
% 8.36/6.49 ((~(v13(constB162) <=> v9(constB161))) | (~v13(constB162)) | v9(constB161)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34365,plain,
% 8.36/6.49 (v9(constB161)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34364, 34363, 34329])).
% 8.36/6.49 tff(34366,plain,
% 8.36/6.49 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB161)) <=> v1(constB161))),
% 8.36/6.49 inference(quant_inst,[status(thm)],[])).
% 8.36/6.49 tff(34367,plain,
% 8.36/6.49 ((~v39(constB161)) <=> v1(constB161)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34366, 129])).
% 8.36/6.49 tff(34368,plain,
% 8.36/6.49 ((~((~v39(constB161)) <=> v1(constB161))) | v39(constB161) | v1(constB161)),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.49 tff(34369,plain,
% 8.36/6.49 ((~((~v39(constB161)) <=> v1(constB161))) | v39(constB161)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34368, 13233])).
% 8.36/6.49 tff(34370,plain,
% 8.36/6.49 (v39(constB161)),
% 8.36/6.49 inference(unit_resolution,[status(thm)],[34369, 34367])).
% 8.36/6.49 tff(34371,plain,
% 8.36/6.49 ((~((~v39(constB161)) | (~v9(constB161)))) | (~v39(constB161)) | (~v9(constB161))),
% 8.36/6.49 inference(tautology,[status(thm)],[])).
% 8.36/6.50 tff(34372,plain,
% 8.36/6.50 ((~((~v39(constB161)) | (~v9(constB161)))) | (~v9(constB161))),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34371, 34370])).
% 8.36/6.50 tff(34373,plain,
% 8.36/6.50 (~((~v39(constB161)) | (~v9(constB161)))),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34372, 34365])).
% 8.36/6.50 tff(34374,plain,
% 8.36/6.50 ((~(v184(constB161) <=> (~((~v39(constB161)) | (~v9(constB161)))))) | v184(constB161) | ((~v39(constB161)) | (~v9(constB161)))),
% 8.36/6.50 inference(tautology,[status(thm)],[])).
% 8.36/6.50 tff(34375,plain,
% 8.36/6.50 (v184(constB161)),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34374, 34373, 34325])).
% 8.36/6.50 tff(34376,plain,
% 8.36/6.50 ((v184(constB161) | v26(constB161)) | (~v184(constB161))),
% 8.36/6.50 inference(tautology,[status(thm)],[])).
% 8.36/6.50 tff(34377,plain,
% 8.36/6.50 (v184(constB161) | v26(constB161)),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34376, 34375])).
% 8.36/6.50 tff(34378,plain,
% 8.36/6.50 ((~(v183(constB161) <=> (v184(constB161) | v26(constB161)))) | v183(constB161) | (~(v184(constB161) | v26(constB161)))),
% 8.36/6.50 inference(tautology,[status(thm)],[])).
% 8.36/6.50 tff(34379,plain,
% 8.36/6.50 (v183(constB161)),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34378, 34377, 34323])).
% 8.36/6.50 tff(34380,plain,
% 8.36/6.50 ((~((~v182(constB161)) <=> v183(constB161))) | (~v182(constB161)) | (~v183(constB161))),
% 8.36/6.50 inference(tautology,[status(thm)],[])).
% 8.36/6.50 tff(34381,plain,
% 8.36/6.50 (~v182(constB161)),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34380, 34379, 34321])).
% 8.36/6.50 tff(34382,plain,
% 8.36/6.50 (((~v157(constB161)) | (~v182(constB161))) | v182(constB161)),
% 8.36/6.50 inference(tautology,[status(thm)],[])).
% 8.36/6.50 tff(34383,plain,
% 8.36/6.50 ((~v157(constB161)) | (~v182(constB161))),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34382, 34381])).
% 8.36/6.50 tff(34384,plain,
% 8.36/6.50 ((~(v181(constB161) <=> (~((~v157(constB161)) | (~v182(constB161)))))) | (~v181(constB161)) | (~((~v157(constB161)) | (~v182(constB161))))),
% 8.36/6.50 inference(tautology,[status(thm)],[])).
% 8.36/6.50 tff(34385,plain,
% 8.36/6.50 (~v181(constB161)),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34384, 34383, 34319])).
% 8.36/6.50 tff(34386,plain,
% 8.36/6.50 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB161) <=> (~((~v186(constB161)) | (~v187(constB161)))))),
% 8.36/6.50 inference(quant_inst,[status(thm)],[])).
% 8.36/6.50 tff(34387,plain,
% 8.36/6.50 (v185(constB161) <=> (~((~v186(constB161)) | (~v187(constB161))))),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34386, 96])).
% 8.36/6.50 tff(34388,plain,
% 8.36/6.50 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB161) <=> (~((~v184(constB161)) | (~v159(constB161)))))),
% 8.36/6.50 inference(quant_inst,[status(thm)],[])).
% 8.36/6.50 tff(34389,plain,
% 8.36/6.50 (v187(constB161) <=> (~((~v184(constB161)) | (~v159(constB161))))),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34388, 108])).
% 8.36/6.50 tff(34390,plain,
% 8.36/6.50 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB161) <=> v161(constB161))),
% 8.36/6.50 inference(quant_inst,[status(thm)],[])).
% 8.36/6.50 tff(34391,plain,
% 8.36/6.50 (v159(constB161) <=> v161(constB161)),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34390, 345])).
% 8.36/6.50 tff(34392,plain,
% 8.36/6.50 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB161) <=> (v145(constB161) | v165(constB161)))),
% 8.36/6.50 inference(quant_inst,[status(thm)],[])).
% 8.36/6.50 tff(34393,plain,
% 8.36/6.50 (v164(constB161) <=> (v145(constB161) | v165(constB161))),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34392, 357])).
% 8.36/6.50 tff(34394,plain,
% 8.36/6.50 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB161) <=> (v142(constB161) | v166(constB161)))),
% 8.36/6.50 inference(quant_inst,[status(thm)],[])).
% 8.36/6.50 tff(34395,plain,
% 8.36/6.50 (v165(constB161) <=> (v142(constB161) | v166(constB161))),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34394, 369])).
% 8.36/6.50 tff(34396,plain,
% 8.36/6.50 ((v142(constB161) | v166(constB161)) | (~v142(constB161))),
% 8.36/6.50 inference(tautology,[status(thm)],[])).
% 8.36/6.50 tff(34397,plain,
% 8.36/6.50 (v142(constB161) | v166(constB161)),
% 8.36/6.50 inference(unit_resolution,[status(thm)],[34396, 31594])).
% 8.36/6.50 tff(34398,plain,
% 8.36/6.50 ((~(v165(constB161) <=> (v142(constB161) | v166(constB161)))) | v165(constB161) | (~(v142(constB161) | v166(constB161)))),
% 8.36/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34399,plain,
% 8.38/6.50 ((~(v165(constB161) <=> (v142(constB161) | v166(constB161)))) | v165(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34398, 34397])).
% 8.38/6.50 tff(34400,plain,
% 8.38/6.50 (v165(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34399, 34395])).
% 8.38/6.50 tff(34401,plain,
% 8.38/6.50 ((v145(constB161) | v165(constB161)) | (~v165(constB161))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34402,plain,
% 8.38/6.50 (v145(constB161) | v165(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34401, 34400])).
% 8.38/6.50 tff(34403,plain,
% 8.38/6.50 ((~(v164(constB161) <=> (v145(constB161) | v165(constB161)))) | v164(constB161) | (~(v145(constB161) | v165(constB161)))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34404,plain,
% 8.38/6.50 (v164(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34403, 34402, 34393])).
% 8.38/6.50 tff(34405,plain,
% 8.38/6.50 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB161)) | (v161(constB161) <=> v168(constB161)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB161)) | (v161(constB161) <=> v168(constB161)))),
% 8.38/6.50 inference(rewrite,[status(thm)],[])).
% 8.38/6.50 tff(34406,plain,
% 8.38/6.50 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB161)) | (v161(constB161) <=> v168(constB161)))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34407,plain,
% 8.38/6.50 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB161)) | (v161(constB161) <=> v168(constB161))),
% 8.38/6.50 inference(modus_ponens,[status(thm)],[34406, 34405])).
% 8.38/6.50 tff(34408,plain,
% 8.38/6.50 ((~v164(constB161)) | (v161(constB161) <=> v168(constB161))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34407, 12128])).
% 8.38/6.50 tff(34409,plain,
% 8.38/6.50 (v161(constB161) <=> v168(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34408, 34404])).
% 8.38/6.50 tff(34410,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2))))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34411,plain,
% 8.38/6.50 (v139(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2)))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34410, 12146])).
% 8.38/6.50 tff(34412,plain,
% 8.38/6.50 ((v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2)) | (~v88(constB161, bitIndex1))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34413,plain,
% 8.38/6.50 (v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34412, 31586])).
% 8.38/6.50 tff(34414,plain,
% 8.38/6.50 ((~(v139(constB161) <=> (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2))))) | (~v139(constB161)) | (~(v88(constB161, bitIndex0) | v88(constB161, bitIndex1) | v88(constB161, bitIndex2)))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34415,plain,
% 8.38/6.50 (~v139(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34414, 34413, 34411])).
% 8.38/6.50 tff(34416,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB161) <=> (~(v88(constB161, bitIndex1) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34417,plain,
% 8.38/6.50 (v140(constB161) <=> (~(v88(constB161, bitIndex1) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0))))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34416, 12165])).
% 8.38/6.50 tff(34418,plain,
% 8.38/6.50 ((v88(constB161, bitIndex1) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0))) | (~v88(constB161, bitIndex1))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34419,plain,
% 8.38/6.50 (v88(constB161, bitIndex1) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34418, 31586])).
% 8.38/6.50 tff(34420,plain,
% 8.38/6.50 ((~(v140(constB161) <=> (~(v88(constB161, bitIndex1) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)))))) | (~v140(constB161)) | (~(v88(constB161, bitIndex1) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0))))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34421,plain,
% 8.38/6.50 (~v140(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34420, 34419, 34417])).
% 8.38/6.50 tff(34422,plain,
% 8.38/6.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v168(constB161)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB161) | v140(constB161) | (~v168(constB161)))),
% 8.38/6.50 inference(rewrite,[status(thm)],[])).
% 8.38/6.50 tff(34423,plain,
% 8.38/6.50 ((v140(constB161) | v139(constB161) | (~v168(constB161))) <=> (v139(constB161) | v140(constB161) | (~v168(constB161)))),
% 8.38/6.50 inference(rewrite,[status(thm)],[])).
% 8.38/6.50 tff(34424,plain,
% 8.38/6.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB161) | v139(constB161) | (~v168(constB161)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v168(constB161))))),
% 8.38/6.50 inference(monotonicity,[status(thm)],[34423])).
% 8.38/6.50 tff(34425,plain,
% 8.38/6.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB161) | v139(constB161) | (~v168(constB161)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB161) | v140(constB161) | (~v168(constB161)))),
% 8.38/6.50 inference(transitivity,[status(thm)],[34424, 34422])).
% 8.38/6.50 tff(34426,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB161) | v139(constB161) | (~v168(constB161)))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34427,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB161) | v140(constB161) | (~v168(constB161))),
% 8.38/6.50 inference(modus_ponens,[status(thm)],[34426, 34425])).
% 8.38/6.50 tff(34428,plain,
% 8.38/6.50 (v139(constB161) | v140(constB161) | (~v168(constB161))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34427, 12184])).
% 8.38/6.50 tff(34429,plain,
% 8.38/6.50 (~v168(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34428, 34421, 34415])).
% 8.38/6.50 tff(34430,plain,
% 8.38/6.50 ((~(v161(constB161) <=> v168(constB161))) | (~v161(constB161)) | v168(constB161)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34431,plain,
% 8.38/6.50 ((~(v161(constB161) <=> v168(constB161))) | (~v161(constB161))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34430, 34429])).
% 8.38/6.50 tff(34432,plain,
% 8.38/6.50 (~v161(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34431, 34409])).
% 8.38/6.50 tff(34433,plain,
% 8.38/6.50 ((~(v159(constB161) <=> v161(constB161))) | (~v159(constB161)) | v161(constB161)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34434,plain,
% 8.38/6.50 ((~(v159(constB161) <=> v161(constB161))) | (~v159(constB161))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34433, 34432])).
% 8.38/6.50 tff(34435,plain,
% 8.38/6.50 (~v159(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34434, 34391])).
% 8.38/6.50 tff(34436,plain,
% 8.38/6.50 (((~v184(constB161)) | (~v159(constB161))) | v159(constB161)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34437,plain,
% 8.38/6.50 ((~v184(constB161)) | (~v159(constB161))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34436, 34435])).
% 8.38/6.50 tff(34438,plain,
% 8.38/6.50 ((~(v187(constB161) <=> (~((~v184(constB161)) | (~v159(constB161)))))) | (~v187(constB161)) | (~((~v184(constB161)) | (~v159(constB161))))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34439,plain,
% 8.38/6.50 (~v187(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34438, 34437, 34389])).
% 8.38/6.50 tff(34440,plain,
% 8.38/6.50 (((~v186(constB161)) | (~v187(constB161))) | v187(constB161)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34441,plain,
% 8.38/6.50 ((~v186(constB161)) | (~v187(constB161))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34440, 34439])).
% 8.38/6.50 tff(34442,plain,
% 8.38/6.50 ((~(v185(constB161) <=> (~((~v186(constB161)) | (~v187(constB161)))))) | (~v185(constB161)) | (~((~v186(constB161)) | (~v187(constB161))))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34443,plain,
% 8.38/6.50 (~v185(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34442, 34441, 34387])).
% 8.38/6.50 tff(34444,plain,
% 8.38/6.50 ((~(v181(constB161) | v185(constB161))) | v181(constB161) | v185(constB161)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34445,plain,
% 8.38/6.50 (~(v181(constB161) | v185(constB161))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34444, 34443, 34385])).
% 8.38/6.50 tff(34446,plain,
% 8.38/6.50 ((~(v178(constB161) <=> (v181(constB161) | v185(constB161)))) | (~v178(constB161)) | (v181(constB161) | v185(constB161))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34447,plain,
% 8.38/6.50 (~v178(constB161)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34446, 34445, 34312])).
% 8.38/6.50 tff(34448,plain,
% 8.38/6.50 ((~(v180(constB162) <=> v178(constB161))) | (~v180(constB162)) | v178(constB161)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34449,plain,
% 8.38/6.50 (~v180(constB162)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34448, 34447, 34310])).
% 8.38/6.50 tff(34450,plain,
% 8.38/6.50 ((~(v157(constB162) <=> v180(constB162))) | (~v157(constB162)) | v180(constB162)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34451,plain,
% 8.38/6.50 (~v157(constB162)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34450, 34449, 34306])).
% 8.38/6.50 tff(34452,plain,
% 8.38/6.50 (((~v157(constB162)) | (~v182(constB162))) | v157(constB162)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34453,plain,
% 8.38/6.50 ((~v157(constB162)) | (~v182(constB162))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34452, 34451])).
% 8.38/6.50 tff(34454,plain,
% 8.38/6.50 ((~(v181(constB162) <=> (~((~v157(constB162)) | (~v182(constB162)))))) | (~v181(constB162)) | (~((~v157(constB162)) | (~v182(constB162))))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34455,plain,
% 8.38/6.50 (~v181(constB162)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34454, 34453, 34304])).
% 8.38/6.50 tff(34456,plain,
% 8.38/6.50 ((~(v181(constB162) | v185(constB162))) | v181(constB162) | v185(constB162)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34457,plain,
% 8.38/6.50 (~(v181(constB162) | v185(constB162))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34456, 34455, 34297])).
% 8.38/6.50 tff(34458,plain,
% 8.38/6.50 ((~(v178(constB162) <=> (v181(constB162) | v185(constB162)))) | (~v178(constB162)) | (v181(constB162) | v185(constB162))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34459,plain,
% 8.38/6.50 (~v178(constB162)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34458, 34457, 34272])).
% 8.38/6.50 tff(34460,plain,
% 8.38/6.50 ((~(v180(constB163) <=> v178(constB162))) | (~v180(constB163)) | v178(constB162)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34461,plain,
% 8.38/6.50 (~v180(constB163)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34460, 34459, 34270])).
% 8.38/6.50 tff(34462,plain,
% 8.38/6.50 ($false),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34461, 34266])).
% 8.38/6.50 tff(34463,plain,(~(constB163 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.38/6.50 tff(34464,assumption,(constB15 = VarCurr!0), introduced(assumption)).
% 8.38/6.50 tff(34465,plain,
% 8.38/6.50 (v180(constB15) <=> v180(VarCurr!0)),
% 8.38/6.50 inference(monotonicity,[status(thm)],[34464])).
% 8.38/6.50 tff(34466,plain,
% 8.38/6.50 (v180(VarCurr!0) <=> v180(constB15)),
% 8.38/6.50 inference(symmetry,[status(thm)],[34465])).
% 8.38/6.50 tff(34467,plain,
% 8.38/6.50 (v180(constB15)),
% 8.38/6.50 inference(modus_ponens,[status(thm)],[59, 34466])).
% 8.38/6.50 tff(34468,plain,
% 8.38/6.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB14, constB15)) | (v180(constB15) <=> v178(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB14, constB15)) | (v180(constB15) <=> v178(constB14)))),
% 8.38/6.50 inference(rewrite,[status(thm)],[])).
% 8.38/6.50 tff(34469,plain,
% 8.38/6.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB14, constB15)) | (v180(constB15) <=> v178(constB14)))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34470,plain,
% 8.38/6.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB14, constB15)) | (v180(constB15) <=> v178(constB14))),
% 8.38/6.50 inference(modus_ponens,[status(thm)],[34469, 34468])).
% 8.38/6.50 tff(34471,plain,
% 8.38/6.50 (v180(constB15) <=> v178(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34470, 3412, 70])).
% 8.38/6.50 tff(34472,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB14) <=> (v181(constB14) | v185(constB14)))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34473,plain,
% 8.38/6.50 (v178(constB14) <=> (v181(constB14) | v185(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34472, 84])).
% 8.38/6.50 tff(34474,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB14) <=> (~((~v186(constB14)) | (~v187(constB14)))))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34475,plain,
% 8.38/6.50 (v185(constB14) <=> (~((~v186(constB14)) | (~v187(constB14))))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34474, 96])).
% 8.38/6.50 tff(34476,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB14) <=> (~((~v184(constB14)) | (~v159(constB14)))))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34477,plain,
% 8.38/6.50 (v187(constB14) <=> (~((~v184(constB14)) | (~v159(constB14))))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34476, 108])).
% 8.38/6.50 tff(34478,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34479,plain,
% 8.38/6.50 (v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14))))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34478, 120])).
% 8.38/6.50 tff(34480,plain,
% 8.38/6.50 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB14)) <=> v1(constB14))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34481,plain,
% 8.38/6.50 ((~v39(constB14)) <=> v1(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34480, 129])).
% 8.38/6.50 tff(34482,plain,
% 8.38/6.50 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14)) | (~v1(constB14))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34483,plain,
% 8.38/6.50 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34482, 5101])).
% 8.38/6.50 tff(34484,plain,
% 8.38/6.50 (~v39(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34483, 34481])).
% 8.38/6.50 tff(34485,plain,
% 8.38/6.50 (((~v39(constB14)) | (~v9(constB14))) | v39(constB14)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34486,plain,
% 8.38/6.50 ((~v39(constB14)) | (~v9(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34485, 34484])).
% 8.38/6.50 tff(34487,plain,
% 8.38/6.50 ((~(v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v184(constB14)) | (~((~v39(constB14)) | (~v9(constB14))))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34488,plain,
% 8.38/6.50 ((~(v184(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v184(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34487, 34486])).
% 8.38/6.50 tff(34489,plain,
% 8.38/6.50 (~v184(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34488, 34479])).
% 8.38/6.50 tff(34490,plain,
% 8.38/6.50 (((~v184(constB14)) | (~v159(constB14))) | v184(constB14)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34491,plain,
% 8.38/6.50 ((~v184(constB14)) | (~v159(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34490, 34489])).
% 8.38/6.50 tff(34492,plain,
% 8.38/6.50 ((~(v187(constB14) <=> (~((~v184(constB14)) | (~v159(constB14)))))) | (~v187(constB14)) | (~((~v184(constB14)) | (~v159(constB14))))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34493,plain,
% 8.38/6.50 ((~(v187(constB14) <=> (~((~v184(constB14)) | (~v159(constB14)))))) | (~v187(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34492, 34491])).
% 8.38/6.50 tff(34494,plain,
% 8.38/6.50 (~v187(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34493, 34477])).
% 8.38/6.50 tff(34495,plain,
% 8.38/6.50 (((~v186(constB14)) | (~v187(constB14))) | v187(constB14)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34496,plain,
% 8.38/6.50 ((~v186(constB14)) | (~v187(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34495, 34494])).
% 8.38/6.50 tff(34497,plain,
% 8.38/6.50 ((~(v185(constB14) <=> (~((~v186(constB14)) | (~v187(constB14)))))) | (~v185(constB14)) | (~((~v186(constB14)) | (~v187(constB14))))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34498,plain,
% 8.38/6.50 (~v185(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34497, 34496, 34475])).
% 8.38/6.50 tff(34499,plain,
% 8.38/6.50 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14))))))),
% 8.38/6.50 inference(rewrite,[status(thm)],[])).
% 8.38/6.50 tff(34500,plain,
% 8.38/6.50 ((v181(constB14) <=> (~((~v182(constB14)) | (~v157(constB14))))) <=> (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14)))))),
% 8.38/6.50 inference(rewrite,[status(thm)],[])).
% 8.38/6.50 tff(34501,plain,
% 8.38/6.50 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v182(constB14)) | (~v157(constB14)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14))))))),
% 8.38/6.50 inference(monotonicity,[status(thm)],[34500])).
% 8.38/6.50 tff(34502,plain,
% 8.38/6.50 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v182(constB14)) | (~v157(constB14)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14))))))),
% 8.38/6.50 inference(transitivity,[status(thm)],[34501, 34499])).
% 8.38/6.50 tff(34503,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v182(constB14)) | (~v157(constB14)))))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34504,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14)))))),
% 8.38/6.50 inference(modus_ponens,[status(thm)],[34503, 34502])).
% 8.38/6.50 tff(34505,plain,
% 8.38/6.50 (v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14))))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34504, 161])).
% 8.38/6.50 tff(34506,plain,
% 8.38/6.50 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB14) <=> v180(constB14))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34507,plain,
% 8.38/6.50 (v157(constB14) <=> v180(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34506, 13])).
% 8.38/6.50 tff(34508,plain,
% 8.38/6.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB13, constB14)) | (v180(constB14) <=> v178(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB13, constB14)) | (v180(constB14) <=> v178(constB13)))),
% 8.38/6.50 inference(rewrite,[status(thm)],[])).
% 8.38/6.50 tff(34509,plain,
% 8.38/6.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB13, constB14)) | (v180(constB14) <=> v178(constB13)))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34510,plain,
% 8.38/6.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB13, constB14)) | (v180(constB14) <=> v178(constB13))),
% 8.38/6.50 inference(modus_ponens,[status(thm)],[34509, 34508])).
% 8.38/6.50 tff(34511,plain,
% 8.38/6.50 (v180(constB14) <=> v178(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34510, 3448, 70])).
% 8.38/6.50 tff(34512,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB13) <=> (v181(constB13) | v185(constB13)))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34513,plain,
% 8.38/6.50 (v178(constB13) <=> (v181(constB13) | v185(constB13))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34512, 84])).
% 8.38/6.50 tff(34514,plain,
% 8.38/6.50 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13))))))),
% 8.38/6.50 inference(rewrite,[status(thm)],[])).
% 8.38/6.50 tff(34515,plain,
% 8.38/6.50 ((v181(constB13) <=> (~((~v182(constB13)) | (~v157(constB13))))) <=> (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13)))))),
% 8.38/6.50 inference(rewrite,[status(thm)],[])).
% 8.38/6.50 tff(34516,plain,
% 8.38/6.50 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v182(constB13)) | (~v157(constB13)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13))))))),
% 8.38/6.50 inference(monotonicity,[status(thm)],[34515])).
% 8.38/6.50 tff(34517,plain,
% 8.38/6.50 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v182(constB13)) | (~v157(constB13)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13))))))),
% 8.38/6.50 inference(transitivity,[status(thm)],[34516, 34514])).
% 8.38/6.50 tff(34518,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v182(constB13)) | (~v157(constB13)))))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34519,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13)))))),
% 8.38/6.50 inference(modus_ponens,[status(thm)],[34518, 34517])).
% 8.38/6.50 tff(34520,plain,
% 8.38/6.50 (v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13))))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34519, 161])).
% 8.38/6.50 tff(34521,plain,
% 8.38/6.50 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB13)) <=> v183(constB13))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34522,plain,
% 8.38/6.50 ((~v182(constB13)) <=> v183(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34521, 193])).
% 8.38/6.50 tff(34523,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB13) <=> (v184(constB13) | v26(constB13)))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34524,plain,
% 8.38/6.50 (v183(constB13) <=> (v184(constB13) | v26(constB13))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34523, 202])).
% 8.38/6.50 tff(34525,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34526,plain,
% 8.38/6.50 (v184(constB13) <=> (~((~v39(constB13)) | (~v9(constB13))))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34525, 120])).
% 8.38/6.50 tff(34527,plain,
% 8.38/6.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))),
% 8.38/6.50 inference(rewrite,[status(thm)],[])).
% 8.38/6.50 tff(34528,plain,
% 8.38/6.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34529,plain,
% 8.38/6.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13))),
% 8.38/6.50 inference(modus_ponens,[status(thm)],[34528, 34527])).
% 8.38/6.50 tff(34530,plain,
% 8.38/6.50 (v13(constB14) <=> v9(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34529, 3448, 216])).
% 8.38/6.50 tff(34531,plain,
% 8.38/6.50 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB14) <=> v13(constB14))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34532,plain,
% 8.38/6.50 (v6(constB14) <=> v13(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34531, 230])).
% 8.38/6.50 tff(34533,plain,
% 8.38/6.50 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB14)) <=> v6(constB14))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34534,plain,
% 8.38/6.50 ((~v21(constB14)) <=> v6(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34533, 239])).
% 8.38/6.50 tff(34535,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB14) <=> (v20(constB14) | v21(constB14)))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34536,plain,
% 8.38/6.50 (v19(constB14) <=> (v20(constB14) | v21(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34535, 248])).
% 8.38/6.50 tff(34537,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34538,plain,
% 8.38/6.50 (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14))))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34537, 260])).
% 8.38/6.50 tff(34539,plain,
% 8.38/6.50 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB14)) <=> v18(constB14))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34540,plain,
% 8.38/6.50 ((~v4(constB14)) <=> v18(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34539, 269])).
% 8.38/6.50 tff(34541,plain,
% 8.38/6.50 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB14)),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34542,plain,
% 8.38/6.50 (v4(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34541, 278])).
% 8.38/6.50 tff(34543,plain,
% 8.38/6.50 ((~((~v4(constB14)) <=> v18(constB14))) | (~v4(constB14)) | (~v18(constB14))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34544,plain,
% 8.38/6.50 (~v18(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34543, 34542, 34540])).
% 8.38/6.50 tff(34545,plain,
% 8.38/6.50 ((~(v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))) | v18(constB14) | ((~v19(constB14)) | (~v22(constB14)))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34546,plain,
% 8.38/6.50 ((~v19(constB14)) | (~v22(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34545, 34544, 34538])).
% 8.38/6.50 tff(34547,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB14) <=> (v1(constB14) | v6(constB14)))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34548,plain,
% 8.38/6.50 (v22(constB14) <=> (v1(constB14) | v6(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34547, 291])).
% 8.38/6.50 tff(34549,plain,
% 8.38/6.50 ((v1(constB14) | v6(constB14)) | (~v1(constB14))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34550,plain,
% 8.38/6.50 (v1(constB14) | v6(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34549, 5101])).
% 8.38/6.50 tff(34551,plain,
% 8.38/6.50 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14) | (~(v1(constB14) | v6(constB14)))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34552,plain,
% 8.38/6.50 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34551, 34550])).
% 8.38/6.50 tff(34553,plain,
% 8.38/6.50 (v22(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34552, 34548])).
% 8.38/6.50 tff(34554,plain,
% 8.38/6.50 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14)) | (~v22(constB14))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34555,plain,
% 8.38/6.50 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34554, 34553])).
% 8.38/6.50 tff(34556,plain,
% 8.38/6.50 (~v19(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34555, 34546])).
% 8.38/6.50 tff(34557,plain,
% 8.38/6.50 ((~(v19(constB14) <=> (v20(constB14) | v21(constB14)))) | v19(constB14) | (~(v20(constB14) | v21(constB14)))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34558,plain,
% 8.38/6.50 (~(v20(constB14) | v21(constB14))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34557, 34556, 34536])).
% 8.38/6.50 tff(34559,plain,
% 8.38/6.50 ((v20(constB14) | v21(constB14)) | (~v21(constB14))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34560,plain,
% 8.38/6.50 (~v21(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34559, 34558])).
% 8.38/6.50 tff(34561,plain,
% 8.38/6.50 ((~((~v21(constB14)) <=> v6(constB14))) | v21(constB14) | v6(constB14)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34562,plain,
% 8.38/6.50 (v6(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34561, 34560, 34534])).
% 8.38/6.50 tff(34563,plain,
% 8.38/6.50 ((~(v6(constB14) <=> v13(constB14))) | (~v6(constB14)) | v13(constB14)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34564,plain,
% 8.38/6.50 (v13(constB14)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34563, 34562, 34532])).
% 8.38/6.50 tff(34565,plain,
% 8.38/6.50 ((~(v13(constB14) <=> v9(constB13))) | (~v13(constB14)) | v9(constB13)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34566,plain,
% 8.38/6.50 (v9(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34565, 34564, 34530])).
% 8.38/6.50 tff(34567,plain,
% 8.38/6.50 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB13)) <=> v1(constB13))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34568,plain,
% 8.38/6.50 ((~v39(constB13)) <=> v1(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34567, 129])).
% 8.38/6.50 tff(34569,plain,
% 8.38/6.50 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13) | v1(constB13)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34570,plain,
% 8.38/6.50 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34569, 3487])).
% 8.38/6.50 tff(34571,plain,
% 8.38/6.50 (v39(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34570, 34568])).
% 8.38/6.50 tff(34572,plain,
% 8.38/6.50 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v39(constB13)) | (~v9(constB13))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34573,plain,
% 8.38/6.50 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v9(constB13))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34572, 34571])).
% 8.38/6.50 tff(34574,plain,
% 8.38/6.50 (~((~v39(constB13)) | (~v9(constB13)))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34573, 34566])).
% 8.38/6.50 tff(34575,plain,
% 8.38/6.50 ((~(v184(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))) | v184(constB13) | ((~v39(constB13)) | (~v9(constB13)))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34576,plain,
% 8.38/6.50 (v184(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34575, 34574, 34526])).
% 8.38/6.50 tff(34577,plain,
% 8.38/6.50 ((v184(constB13) | v26(constB13)) | (~v184(constB13))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34578,plain,
% 8.38/6.50 (v184(constB13) | v26(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34577, 34576])).
% 8.38/6.50 tff(34579,plain,
% 8.38/6.50 ((~(v183(constB13) <=> (v184(constB13) | v26(constB13)))) | v183(constB13) | (~(v184(constB13) | v26(constB13)))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34580,plain,
% 8.38/6.50 (v183(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34579, 34578, 34524])).
% 8.38/6.50 tff(34581,plain,
% 8.38/6.50 ((~((~v182(constB13)) <=> v183(constB13))) | (~v182(constB13)) | (~v183(constB13))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34582,plain,
% 8.38/6.50 (~v182(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34581, 34580, 34522])).
% 8.38/6.50 tff(34583,plain,
% 8.38/6.50 (((~v157(constB13)) | (~v182(constB13))) | v182(constB13)),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34584,plain,
% 8.38/6.50 ((~v157(constB13)) | (~v182(constB13))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34583, 34582])).
% 8.38/6.50 tff(34585,plain,
% 8.38/6.50 ((~(v181(constB13) <=> (~((~v157(constB13)) | (~v182(constB13)))))) | (~v181(constB13)) | (~((~v157(constB13)) | (~v182(constB13))))),
% 8.38/6.50 inference(tautology,[status(thm)],[])).
% 8.38/6.50 tff(34586,plain,
% 8.38/6.50 (~v181(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34585, 34584, 34520])).
% 8.38/6.50 tff(34587,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB13) <=> (~((~v186(constB13)) | (~v187(constB13)))))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34588,plain,
% 8.38/6.50 (v185(constB13) <=> (~((~v186(constB13)) | (~v187(constB13))))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34587, 96])).
% 8.38/6.50 tff(34589,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB13) <=> (~((~v184(constB13)) | (~v159(constB13)))))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34590,plain,
% 8.38/6.50 (v187(constB13) <=> (~((~v184(constB13)) | (~v159(constB13))))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34589, 108])).
% 8.38/6.50 tff(34591,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB13) <=> v161(constB13))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34592,plain,
% 8.38/6.50 (v159(constB13) <=> v161(constB13)),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34591, 345])).
% 8.38/6.50 tff(34593,plain,
% 8.38/6.50 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB13) <=> (v145(constB13) | v165(constB13)))),
% 8.38/6.50 inference(quant_inst,[status(thm)],[])).
% 8.38/6.50 tff(34594,plain,
% 8.38/6.50 (v164(constB13) <=> (v145(constB13) | v165(constB13))),
% 8.38/6.50 inference(unit_resolution,[status(thm)],[34593, 357])).
% 8.38/6.51 tff(34595,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB13) <=> (v142(constB13) | v166(constB13)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34596,plain,
% 8.38/6.51 (v165(constB13) <=> (v142(constB13) | v166(constB13))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34595, 369])).
% 8.38/6.51 tff(34597,plain,
% 8.38/6.51 ((v142(constB13) | v166(constB13)) | (~v142(constB13))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34598,plain,
% 8.38/6.51 (v142(constB13) | v166(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34597, 29914])).
% 8.38/6.51 tff(34599,plain,
% 8.38/6.51 ((~(v165(constB13) <=> (v142(constB13) | v166(constB13)))) | v165(constB13) | (~(v142(constB13) | v166(constB13)))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34600,plain,
% 8.38/6.51 ((~(v165(constB13) <=> (v142(constB13) | v166(constB13)))) | v165(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34599, 34598])).
% 8.38/6.51 tff(34601,plain,
% 8.38/6.51 (v165(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34600, 34596])).
% 8.38/6.51 tff(34602,plain,
% 8.38/6.51 ((v145(constB13) | v165(constB13)) | (~v165(constB13))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34603,plain,
% 8.38/6.51 (v145(constB13) | v165(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34602, 34601])).
% 8.38/6.51 tff(34604,plain,
% 8.38/6.51 ((~(v164(constB13) <=> (v145(constB13) | v165(constB13)))) | v164(constB13) | (~(v145(constB13) | v165(constB13)))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34605,plain,
% 8.38/6.51 (v164(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34604, 34603, 34594])).
% 8.38/6.51 tff(34606,plain,
% 8.38/6.51 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB13)) | (v161(constB13) <=> v168(constB13)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB13)) | (v161(constB13) <=> v168(constB13)))),
% 8.38/6.51 inference(rewrite,[status(thm)],[])).
% 8.38/6.51 tff(34607,plain,
% 8.38/6.51 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB13)) | (v161(constB13) <=> v168(constB13)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34608,plain,
% 8.38/6.51 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB13)) | (v161(constB13) <=> v168(constB13))),
% 8.38/6.51 inference(modus_ponens,[status(thm)],[34607, 34606])).
% 8.38/6.51 tff(34609,plain,
% 8.38/6.51 ((~v164(constB13)) | (v161(constB13) <=> v168(constB13))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34608, 12128])).
% 8.38/6.51 tff(34610,plain,
% 8.38/6.51 (v161(constB13) <=> v168(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34609, 34605])).
% 8.38/6.51 tff(34611,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB13) <=> (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34612,plain,
% 8.38/6.51 (v139(constB13) <=> (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34611, 12146])).
% 8.38/6.51 tff(34613,plain,
% 8.38/6.51 ((v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)) | (~v88(constB13, bitIndex2))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34614,plain,
% 8.38/6.51 (v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34613, 29898])).
% 8.38/6.51 tff(34615,plain,
% 8.38/6.51 ((~(v139(constB13) <=> (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2))))) | (~v139(constB13)) | (~(v88(constB13, bitIndex0) | v88(constB13, bitIndex1) | v88(constB13, bitIndex2)))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34616,plain,
% 8.38/6.51 (~v139(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34615, 34614, 34612])).
% 8.38/6.51 tff(34617,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB13) <=> (~(v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0)))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34618,plain,
% 8.38/6.51 (v140(constB13) <=> (~(v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0))))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34617, 12165])).
% 8.38/6.51 tff(34619,plain,
% 8.38/6.51 ((v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0))) | (~v88(constB13, bitIndex2))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34620,plain,
% 8.38/6.51 (v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34619, 29898])).
% 8.38/6.51 tff(34621,plain,
% 8.38/6.51 ((~(v140(constB13) <=> (~(v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0)))))) | (~v140(constB13)) | (~(v88(constB13, bitIndex1) | v88(constB13, bitIndex2) | (~v88(constB13, bitIndex0))))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34622,plain,
% 8.38/6.51 (~v140(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34621, 34620, 34618])).
% 8.38/6.51 tff(34623,plain,
% 8.38/6.51 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB13) | v139(constB13) | (~v168(constB13)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB13) | v139(constB13) | (~v168(constB13)))),
% 8.38/6.51 inference(rewrite,[status(thm)],[])).
% 8.38/6.51 tff(34624,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB13) | v139(constB13) | (~v168(constB13)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34625,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB13) | v139(constB13) | (~v168(constB13))),
% 8.38/6.51 inference(modus_ponens,[status(thm)],[34624, 34623])).
% 8.38/6.51 tff(34626,plain,
% 8.38/6.51 (v140(constB13) | v139(constB13) | (~v168(constB13))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34625, 12184])).
% 8.38/6.51 tff(34627,plain,
% 8.38/6.51 (~v168(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34626, 34622, 34616])).
% 8.38/6.51 tff(34628,plain,
% 8.38/6.51 ((~(v161(constB13) <=> v168(constB13))) | (~v161(constB13)) | v168(constB13)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34629,plain,
% 8.38/6.51 ((~(v161(constB13) <=> v168(constB13))) | (~v161(constB13))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34628, 34627])).
% 8.38/6.51 tff(34630,plain,
% 8.38/6.51 (~v161(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34629, 34610])).
% 8.38/6.51 tff(34631,plain,
% 8.38/6.51 ((~(v159(constB13) <=> v161(constB13))) | (~v159(constB13)) | v161(constB13)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34632,plain,
% 8.38/6.51 ((~(v159(constB13) <=> v161(constB13))) | (~v159(constB13))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34631, 34630])).
% 8.38/6.51 tff(34633,plain,
% 8.38/6.51 (~v159(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34632, 34592])).
% 8.38/6.51 tff(34634,plain,
% 8.38/6.51 (((~v184(constB13)) | (~v159(constB13))) | v159(constB13)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34635,plain,
% 8.38/6.51 ((~v184(constB13)) | (~v159(constB13))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34634, 34633])).
% 8.38/6.51 tff(34636,plain,
% 8.38/6.51 ((~(v187(constB13) <=> (~((~v184(constB13)) | (~v159(constB13)))))) | (~v187(constB13)) | (~((~v184(constB13)) | (~v159(constB13))))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34637,plain,
% 8.38/6.51 (~v187(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34636, 34635, 34590])).
% 8.38/6.51 tff(34638,plain,
% 8.38/6.51 (((~v186(constB13)) | (~v187(constB13))) | v187(constB13)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34639,plain,
% 8.38/6.51 ((~v186(constB13)) | (~v187(constB13))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34638, 34637])).
% 8.38/6.51 tff(34640,plain,
% 8.38/6.51 ((~(v185(constB13) <=> (~((~v186(constB13)) | (~v187(constB13)))))) | (~v185(constB13)) | (~((~v186(constB13)) | (~v187(constB13))))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34641,plain,
% 8.38/6.51 (~v185(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34640, 34639, 34588])).
% 8.38/6.51 tff(34642,plain,
% 8.38/6.51 ((~(v181(constB13) | v185(constB13))) | v181(constB13) | v185(constB13)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34643,plain,
% 8.38/6.51 (~(v181(constB13) | v185(constB13))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34642, 34641, 34586])).
% 8.38/6.51 tff(34644,plain,
% 8.38/6.51 ((~(v178(constB13) <=> (v181(constB13) | v185(constB13)))) | (~v178(constB13)) | (v181(constB13) | v185(constB13))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34645,plain,
% 8.38/6.51 (~v178(constB13)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34644, 34643, 34513])).
% 8.38/6.51 tff(34646,plain,
% 8.38/6.51 ((~(v180(constB14) <=> v178(constB13))) | (~v180(constB14)) | v178(constB13)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34647,plain,
% 8.38/6.51 (~v180(constB14)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34646, 34645, 34511])).
% 8.38/6.51 tff(34648,plain,
% 8.38/6.51 ((~(v157(constB14) <=> v180(constB14))) | (~v157(constB14)) | v180(constB14)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34649,plain,
% 8.38/6.51 (~v157(constB14)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34648, 34647, 34507])).
% 8.38/6.51 tff(34650,plain,
% 8.38/6.51 (((~v157(constB14)) | (~v182(constB14))) | v157(constB14)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34651,plain,
% 8.38/6.51 ((~v157(constB14)) | (~v182(constB14))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34650, 34649])).
% 8.38/6.51 tff(34652,plain,
% 8.38/6.51 ((~(v181(constB14) <=> (~((~v157(constB14)) | (~v182(constB14)))))) | (~v181(constB14)) | (~((~v157(constB14)) | (~v182(constB14))))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34653,plain,
% 8.38/6.51 (~v181(constB14)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34652, 34651, 34505])).
% 8.38/6.51 tff(34654,plain,
% 8.38/6.51 ((~(v181(constB14) | v185(constB14))) | v181(constB14) | v185(constB14)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34655,plain,
% 8.38/6.51 (~(v181(constB14) | v185(constB14))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34654, 34653, 34498])).
% 8.38/6.51 tff(34656,plain,
% 8.38/6.51 ((~(v178(constB14) <=> (v181(constB14) | v185(constB14)))) | (~v178(constB14)) | (v181(constB14) | v185(constB14))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34657,plain,
% 8.38/6.51 (~v178(constB14)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34656, 34655, 34473])).
% 8.38/6.51 tff(34658,plain,
% 8.38/6.51 ((~(v180(constB15) <=> v178(constB14))) | (~v180(constB15)) | v178(constB14)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34659,plain,
% 8.38/6.51 (~v180(constB15)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34658, 34657, 34471])).
% 8.38/6.51 tff(34660,plain,
% 8.38/6.51 ($false),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34659, 34467])).
% 8.38/6.51 tff(34661,plain,(~(constB15 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.38/6.51 tff(34662,assumption,(constB27 = VarCurr!0), introduced(assumption)).
% 8.38/6.51 tff(34663,plain,
% 8.38/6.51 (v180(constB27) <=> v180(VarCurr!0)),
% 8.38/6.51 inference(monotonicity,[status(thm)],[34662])).
% 8.38/6.51 tff(34664,plain,
% 8.38/6.51 (v180(VarCurr!0) <=> v180(constB27)),
% 8.38/6.51 inference(symmetry,[status(thm)],[34663])).
% 8.38/6.51 tff(34665,plain,
% 8.38/6.51 (v180(constB27)),
% 8.38/6.51 inference(modus_ponens,[status(thm)],[59, 34664])).
% 8.38/6.51 tff(34666,plain,
% 8.38/6.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB26, constB27)) | (v180(constB27) <=> v178(constB26)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB26, constB27)) | (v180(constB27) <=> v178(constB26)))),
% 8.38/6.51 inference(rewrite,[status(thm)],[])).
% 8.38/6.51 tff(34667,plain,
% 8.38/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB26, constB27)) | (v180(constB27) <=> v178(constB26)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34668,plain,
% 8.38/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB26, constB27)) | (v180(constB27) <=> v178(constB26))),
% 8.38/6.51 inference(modus_ponens,[status(thm)],[34667, 34666])).
% 8.38/6.51 tff(34669,plain,
% 8.38/6.51 (v180(constB27) <=> v178(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34668, 3026, 70])).
% 8.38/6.51 tff(34670,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB26) <=> (v181(constB26) | v185(constB26)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34671,plain,
% 8.38/6.51 (v178(constB26) <=> (v181(constB26) | v185(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34670, 84])).
% 8.38/6.51 tff(34672,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB26) <=> (~((~v186(constB26)) | (~v187(constB26)))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34673,plain,
% 8.38/6.51 (v185(constB26) <=> (~((~v186(constB26)) | (~v187(constB26))))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34672, 96])).
% 8.38/6.51 tff(34674,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB26) <=> (~((~v184(constB26)) | (~v159(constB26)))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34675,plain,
% 8.38/6.51 (v187(constB26) <=> (~((~v184(constB26)) | (~v159(constB26))))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34674, 108])).
% 8.38/6.51 tff(34676,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34677,plain,
% 8.38/6.51 (v184(constB26) <=> (~((~v39(constB26)) | (~v9(constB26))))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34676, 120])).
% 8.38/6.51 tff(34678,plain,
% 8.38/6.51 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB26)) <=> v1(constB26))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34679,plain,
% 8.38/6.51 ((~v39(constB26)) <=> v1(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34678, 129])).
% 8.38/6.51 tff(34680,plain,
% 8.38/6.51 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26)) | (~v1(constB26))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34681,plain,
% 8.38/6.51 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34680, 6049])).
% 8.38/6.51 tff(34682,plain,
% 8.38/6.51 (~v39(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34681, 34679])).
% 8.38/6.51 tff(34683,plain,
% 8.38/6.51 (((~v39(constB26)) | (~v9(constB26))) | v39(constB26)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34684,plain,
% 8.38/6.51 ((~v39(constB26)) | (~v9(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34683, 34682])).
% 8.38/6.51 tff(34685,plain,
% 8.38/6.51 ((~(v184(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v184(constB26)) | (~((~v39(constB26)) | (~v9(constB26))))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34686,plain,
% 8.38/6.51 ((~(v184(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v184(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34685, 34684])).
% 8.38/6.51 tff(34687,plain,
% 8.38/6.51 (~v184(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34686, 34677])).
% 8.38/6.51 tff(34688,plain,
% 8.38/6.51 (((~v184(constB26)) | (~v159(constB26))) | v184(constB26)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34689,plain,
% 8.38/6.51 ((~v184(constB26)) | (~v159(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34688, 34687])).
% 8.38/6.51 tff(34690,plain,
% 8.38/6.51 ((~(v187(constB26) <=> (~((~v184(constB26)) | (~v159(constB26)))))) | (~v187(constB26)) | (~((~v184(constB26)) | (~v159(constB26))))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34691,plain,
% 8.38/6.51 ((~(v187(constB26) <=> (~((~v184(constB26)) | (~v159(constB26)))))) | (~v187(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34690, 34689])).
% 8.38/6.51 tff(34692,plain,
% 8.38/6.51 (~v187(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34691, 34675])).
% 8.38/6.51 tff(34693,plain,
% 8.38/6.51 (((~v186(constB26)) | (~v187(constB26))) | v187(constB26)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34694,plain,
% 8.38/6.51 ((~v186(constB26)) | (~v187(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34693, 34692])).
% 8.38/6.51 tff(34695,plain,
% 8.38/6.51 ((~(v185(constB26) <=> (~((~v186(constB26)) | (~v187(constB26)))))) | (~v185(constB26)) | (~((~v186(constB26)) | (~v187(constB26))))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34696,plain,
% 8.38/6.51 (~v185(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34695, 34694, 34673])).
% 8.38/6.51 tff(34697,plain,
% 8.38/6.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26))))))),
% 8.38/6.51 inference(rewrite,[status(thm)],[])).
% 8.38/6.51 tff(34698,plain,
% 8.38/6.51 ((v181(constB26) <=> (~((~v182(constB26)) | (~v157(constB26))))) <=> (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26)))))),
% 8.38/6.51 inference(rewrite,[status(thm)],[])).
% 8.38/6.51 tff(34699,plain,
% 8.38/6.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v182(constB26)) | (~v157(constB26)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26))))))),
% 8.38/6.51 inference(monotonicity,[status(thm)],[34698])).
% 8.38/6.51 tff(34700,plain,
% 8.38/6.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v182(constB26)) | (~v157(constB26)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26))))))),
% 8.38/6.51 inference(transitivity,[status(thm)],[34699, 34697])).
% 8.38/6.51 tff(34701,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v182(constB26)) | (~v157(constB26)))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34702,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26)))))),
% 8.38/6.51 inference(modus_ponens,[status(thm)],[34701, 34700])).
% 8.38/6.51 tff(34703,plain,
% 8.38/6.51 (v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26))))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34702, 161])).
% 8.38/6.51 tff(34704,plain,
% 8.38/6.51 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB26) <=> v180(constB26))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34705,plain,
% 8.38/6.51 (v157(constB26) <=> v180(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34704, 13])).
% 8.38/6.51 tff(34706,plain,
% 8.38/6.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB25, constB26)) | (v180(constB26) <=> v178(constB25)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB25, constB26)) | (v180(constB26) <=> v178(constB25)))),
% 8.38/6.51 inference(rewrite,[status(thm)],[])).
% 8.38/6.51 tff(34707,plain,
% 8.38/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB25, constB26)) | (v180(constB26) <=> v178(constB25)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34708,plain,
% 8.38/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB25, constB26)) | (v180(constB26) <=> v178(constB25))),
% 8.38/6.51 inference(modus_ponens,[status(thm)],[34707, 34706])).
% 8.38/6.51 tff(34709,plain,
% 8.38/6.51 (v180(constB26) <=> v178(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34708, 3062, 70])).
% 8.38/6.51 tff(34710,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB25) <=> (v181(constB25) | v185(constB25)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34711,plain,
% 8.38/6.51 (v178(constB25) <=> (v181(constB25) | v185(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34710, 84])).
% 8.38/6.51 tff(34712,plain,
% 8.38/6.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25))))))),
% 8.38/6.51 inference(rewrite,[status(thm)],[])).
% 8.38/6.51 tff(34713,plain,
% 8.38/6.51 ((v181(constB25) <=> (~((~v182(constB25)) | (~v157(constB25))))) <=> (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25)))))),
% 8.38/6.51 inference(rewrite,[status(thm)],[])).
% 8.38/6.51 tff(34714,plain,
% 8.38/6.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v182(constB25)) | (~v157(constB25)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25))))))),
% 8.38/6.51 inference(monotonicity,[status(thm)],[34713])).
% 8.38/6.51 tff(34715,plain,
% 8.38/6.51 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v182(constB25)) | (~v157(constB25)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25))))))),
% 8.38/6.51 inference(transitivity,[status(thm)],[34714, 34712])).
% 8.38/6.51 tff(34716,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v182(constB25)) | (~v157(constB25)))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34717,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25)))))),
% 8.38/6.51 inference(modus_ponens,[status(thm)],[34716, 34715])).
% 8.38/6.51 tff(34718,plain,
% 8.38/6.51 (v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25))))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34717, 161])).
% 8.38/6.51 tff(34719,plain,
% 8.38/6.51 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB25)) <=> v183(constB25))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34720,plain,
% 8.38/6.51 ((~v182(constB25)) <=> v183(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34719, 193])).
% 8.38/6.51 tff(34721,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB25) <=> (v184(constB25) | v26(constB25)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34722,plain,
% 8.38/6.51 (v183(constB25) <=> (v184(constB25) | v26(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34721, 202])).
% 8.38/6.51 tff(34723,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34724,plain,
% 8.38/6.51 (v184(constB25) <=> (~((~v39(constB25)) | (~v9(constB25))))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34723, 120])).
% 8.38/6.51 tff(34725,plain,
% 8.38/6.51 (((~![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)))),
% 8.38/6.51 inference(rewrite,[status(thm)],[])).
% 8.38/6.51 tff(34726,plain,
% 8.38/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34727,plain,
% 8.38/6.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25))),
% 8.38/6.51 inference(modus_ponens,[status(thm)],[34726, 34725])).
% 8.38/6.51 tff(34728,plain,
% 8.38/6.51 (v13(constB26) <=> v9(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34727, 3062, 216])).
% 8.38/6.51 tff(34729,plain,
% 8.38/6.51 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB26) <=> v13(constB26))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34730,plain,
% 8.38/6.51 (v6(constB26) <=> v13(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34729, 230])).
% 8.38/6.51 tff(34731,plain,
% 8.38/6.51 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB26)) <=> v6(constB26))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34732,plain,
% 8.38/6.51 ((~v21(constB26)) <=> v6(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34731, 239])).
% 8.38/6.51 tff(34733,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB26) <=> (v20(constB26) | v21(constB26)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34734,plain,
% 8.38/6.51 (v19(constB26) <=> (v20(constB26) | v21(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34733, 248])).
% 8.38/6.51 tff(34735,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34736,plain,
% 8.38/6.51 (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26))))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34735, 260])).
% 8.38/6.51 tff(34737,plain,
% 8.38/6.51 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB26)) <=> v18(constB26))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34738,plain,
% 8.38/6.51 ((~v4(constB26)) <=> v18(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34737, 269])).
% 8.38/6.51 tff(34739,plain,
% 8.38/6.51 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB26)),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34740,plain,
% 8.38/6.51 (v4(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34739, 278])).
% 8.38/6.51 tff(34741,plain,
% 8.38/6.51 ((~((~v4(constB26)) <=> v18(constB26))) | (~v4(constB26)) | (~v18(constB26))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34742,plain,
% 8.38/6.51 (~v18(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34741, 34740, 34738])).
% 8.38/6.51 tff(34743,plain,
% 8.38/6.51 ((~(v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))) | v18(constB26) | ((~v19(constB26)) | (~v22(constB26)))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34744,plain,
% 8.38/6.51 ((~v19(constB26)) | (~v22(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34743, 34742, 34736])).
% 8.38/6.51 tff(34745,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB26) <=> (v1(constB26) | v6(constB26)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34746,plain,
% 8.38/6.51 (v22(constB26) <=> (v1(constB26) | v6(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34745, 291])).
% 8.38/6.51 tff(34747,plain,
% 8.38/6.51 ((v1(constB26) | v6(constB26)) | (~v1(constB26))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34748,plain,
% 8.38/6.51 (v1(constB26) | v6(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34747, 6049])).
% 8.38/6.51 tff(34749,plain,
% 8.38/6.51 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26) | (~(v1(constB26) | v6(constB26)))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34750,plain,
% 8.38/6.51 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34749, 34748])).
% 8.38/6.51 tff(34751,plain,
% 8.38/6.51 (v22(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34750, 34746])).
% 8.38/6.51 tff(34752,plain,
% 8.38/6.51 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26)) | (~v22(constB26))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34753,plain,
% 8.38/6.51 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34752, 34751])).
% 8.38/6.51 tff(34754,plain,
% 8.38/6.51 (~v19(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34753, 34744])).
% 8.38/6.51 tff(34755,plain,
% 8.38/6.51 ((~(v19(constB26) <=> (v20(constB26) | v21(constB26)))) | v19(constB26) | (~(v20(constB26) | v21(constB26)))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34756,plain,
% 8.38/6.51 (~(v20(constB26) | v21(constB26))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34755, 34754, 34734])).
% 8.38/6.51 tff(34757,plain,
% 8.38/6.51 ((v20(constB26) | v21(constB26)) | (~v21(constB26))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34758,plain,
% 8.38/6.51 (~v21(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34757, 34756])).
% 8.38/6.51 tff(34759,plain,
% 8.38/6.51 ((~((~v21(constB26)) <=> v6(constB26))) | v21(constB26) | v6(constB26)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34760,plain,
% 8.38/6.51 (v6(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34759, 34758, 34732])).
% 8.38/6.51 tff(34761,plain,
% 8.38/6.51 ((~(v6(constB26) <=> v13(constB26))) | (~v6(constB26)) | v13(constB26)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34762,plain,
% 8.38/6.51 (v13(constB26)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34761, 34760, 34730])).
% 8.38/6.51 tff(34763,plain,
% 8.38/6.51 ((~(v13(constB26) <=> v9(constB25))) | (~v13(constB26)) | v9(constB25)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34764,plain,
% 8.38/6.51 (v9(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34763, 34762, 34728])).
% 8.38/6.51 tff(34765,plain,
% 8.38/6.51 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB25)) <=> v1(constB25))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34766,plain,
% 8.38/6.51 ((~v39(constB25)) <=> v1(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34765, 129])).
% 8.38/6.51 tff(34767,plain,
% 8.38/6.51 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25) | v1(constB25)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34768,plain,
% 8.38/6.51 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34767, 3101])).
% 8.38/6.51 tff(34769,plain,
% 8.38/6.51 (v39(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34768, 34766])).
% 8.38/6.51 tff(34770,plain,
% 8.38/6.51 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v39(constB25)) | (~v9(constB25))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34771,plain,
% 8.38/6.51 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v9(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34770, 34769])).
% 8.38/6.51 tff(34772,plain,
% 8.38/6.51 (~((~v39(constB25)) | (~v9(constB25)))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34771, 34764])).
% 8.38/6.51 tff(34773,plain,
% 8.38/6.51 ((~(v184(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))) | v184(constB25) | ((~v39(constB25)) | (~v9(constB25)))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34774,plain,
% 8.38/6.51 (v184(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34773, 34772, 34724])).
% 8.38/6.51 tff(34775,plain,
% 8.38/6.51 ((v184(constB25) | v26(constB25)) | (~v184(constB25))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34776,plain,
% 8.38/6.51 (v184(constB25) | v26(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34775, 34774])).
% 8.38/6.51 tff(34777,plain,
% 8.38/6.51 ((~(v183(constB25) <=> (v184(constB25) | v26(constB25)))) | v183(constB25) | (~(v184(constB25) | v26(constB25)))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34778,plain,
% 8.38/6.51 (v183(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34777, 34776, 34722])).
% 8.38/6.51 tff(34779,plain,
% 8.38/6.51 ((~((~v182(constB25)) <=> v183(constB25))) | (~v182(constB25)) | (~v183(constB25))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34780,plain,
% 8.38/6.51 (~v182(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34779, 34778, 34720])).
% 8.38/6.51 tff(34781,plain,
% 8.38/6.51 (((~v157(constB25)) | (~v182(constB25))) | v182(constB25)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34782,plain,
% 8.38/6.51 ((~v157(constB25)) | (~v182(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34781, 34780])).
% 8.38/6.51 tff(34783,plain,
% 8.38/6.51 ((~(v181(constB25) <=> (~((~v157(constB25)) | (~v182(constB25)))))) | (~v181(constB25)) | (~((~v157(constB25)) | (~v182(constB25))))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34784,plain,
% 8.38/6.51 (~v181(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34783, 34782, 34718])).
% 8.38/6.51 tff(34785,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB25) <=> (~((~v186(constB25)) | (~v187(constB25)))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34786,plain,
% 8.38/6.51 (v185(constB25) <=> (~((~v186(constB25)) | (~v187(constB25))))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34785, 96])).
% 8.38/6.51 tff(34787,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB25) <=> (~((~v184(constB25)) | (~v159(constB25)))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34788,plain,
% 8.38/6.51 (v187(constB25) <=> (~((~v184(constB25)) | (~v159(constB25))))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34787, 108])).
% 8.38/6.51 tff(34789,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB25) <=> v161(constB25))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34790,plain,
% 8.38/6.51 (v159(constB25) <=> v161(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34789, 345])).
% 8.38/6.51 tff(34791,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB25) <=> (v145(constB25) | v165(constB25)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34792,plain,
% 8.38/6.51 (v164(constB25) <=> (v145(constB25) | v165(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34791, 357])).
% 8.38/6.51 tff(34793,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB25) <=> (v142(constB25) | v166(constB25)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34794,plain,
% 8.38/6.51 (v165(constB25) <=> (v142(constB25) | v166(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34793, 369])).
% 8.38/6.51 tff(34795,plain,
% 8.38/6.51 ((v142(constB25) | v166(constB25)) | (~v142(constB25))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34796,plain,
% 8.38/6.51 (v142(constB25) | v166(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34795, 31532])).
% 8.38/6.51 tff(34797,plain,
% 8.38/6.51 ((~(v165(constB25) <=> (v142(constB25) | v166(constB25)))) | v165(constB25) | (~(v142(constB25) | v166(constB25)))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34798,plain,
% 8.38/6.51 ((~(v165(constB25) <=> (v142(constB25) | v166(constB25)))) | v165(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34797, 34796])).
% 8.38/6.51 tff(34799,plain,
% 8.38/6.51 (v165(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34798, 34794])).
% 8.38/6.51 tff(34800,plain,
% 8.38/6.51 ((v145(constB25) | v165(constB25)) | (~v165(constB25))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34801,plain,
% 8.38/6.51 (v145(constB25) | v165(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34800, 34799])).
% 8.38/6.51 tff(34802,plain,
% 8.38/6.51 ((~(v164(constB25) <=> (v145(constB25) | v165(constB25)))) | v164(constB25) | (~(v145(constB25) | v165(constB25)))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34803,plain,
% 8.38/6.51 (v164(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34802, 34801, 34792])).
% 8.38/6.51 tff(34804,plain,
% 8.38/6.51 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB25)) | (v161(constB25) <=> v168(constB25)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB25)) | (v161(constB25) <=> v168(constB25)))),
% 8.38/6.51 inference(rewrite,[status(thm)],[])).
% 8.38/6.51 tff(34805,plain,
% 8.38/6.51 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB25)) | (v161(constB25) <=> v168(constB25)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34806,plain,
% 8.38/6.51 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB25)) | (v161(constB25) <=> v168(constB25))),
% 8.38/6.51 inference(modus_ponens,[status(thm)],[34805, 34804])).
% 8.38/6.51 tff(34807,plain,
% 8.38/6.51 ((~v164(constB25)) | (v161(constB25) <=> v168(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34806, 12128])).
% 8.38/6.51 tff(34808,plain,
% 8.38/6.51 (v161(constB25) <=> v168(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34807, 34803])).
% 8.38/6.51 tff(34809,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB25) <=> (~(v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34810,plain,
% 8.38/6.51 (v139(constB25) <=> (~(v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2)))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34809, 12146])).
% 8.38/6.51 tff(34811,plain,
% 8.38/6.51 ((v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex2))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34812,plain,
% 8.38/6.51 (v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34811, 31516])).
% 8.38/6.51 tff(34813,plain,
% 8.38/6.51 ((~(v139(constB25) <=> (~(v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2))))) | (~v139(constB25)) | (~(v88(constB25, bitIndex0) | v88(constB25, bitIndex1) | v88(constB25, bitIndex2)))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34814,plain,
% 8.38/6.51 (~v139(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34813, 34812, 34810])).
% 8.38/6.51 tff(34815,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB25) <=> (~(v88(constB25, bitIndex1) | v88(constB25, bitIndex2) | (~v88(constB25, bitIndex0)))))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34816,plain,
% 8.38/6.51 (v140(constB25) <=> (~(v88(constB25, bitIndex1) | v88(constB25, bitIndex2) | (~v88(constB25, bitIndex0))))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34815, 12165])).
% 8.38/6.51 tff(34817,plain,
% 8.38/6.51 ((v88(constB25, bitIndex1) | v88(constB25, bitIndex2) | (~v88(constB25, bitIndex0))) | (~v88(constB25, bitIndex2))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34818,plain,
% 8.38/6.51 (v88(constB25, bitIndex1) | v88(constB25, bitIndex2) | (~v88(constB25, bitIndex0))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34817, 31516])).
% 8.38/6.51 tff(34819,plain,
% 8.38/6.51 ((~(v140(constB25) <=> (~(v88(constB25, bitIndex1) | v88(constB25, bitIndex2) | (~v88(constB25, bitIndex0)))))) | (~v140(constB25)) | (~(v88(constB25, bitIndex1) | v88(constB25, bitIndex2) | (~v88(constB25, bitIndex0))))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34820,plain,
% 8.38/6.51 (~v140(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34819, 34818, 34816])).
% 8.38/6.51 tff(34821,plain,
% 8.38/6.51 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB25) | v139(constB25) | (~v168(constB25)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB25) | v139(constB25) | (~v168(constB25)))),
% 8.38/6.51 inference(rewrite,[status(thm)],[])).
% 8.38/6.51 tff(34822,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB25) | v139(constB25) | (~v168(constB25)))),
% 8.38/6.51 inference(quant_inst,[status(thm)],[])).
% 8.38/6.51 tff(34823,plain,
% 8.38/6.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB25) | v139(constB25) | (~v168(constB25))),
% 8.38/6.51 inference(modus_ponens,[status(thm)],[34822, 34821])).
% 8.38/6.51 tff(34824,plain,
% 8.38/6.51 (v140(constB25) | v139(constB25) | (~v168(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34823, 12184])).
% 8.38/6.51 tff(34825,plain,
% 8.38/6.51 (~v168(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34824, 34820, 34814])).
% 8.38/6.51 tff(34826,plain,
% 8.38/6.51 ((~(v161(constB25) <=> v168(constB25))) | (~v161(constB25)) | v168(constB25)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34827,plain,
% 8.38/6.51 ((~(v161(constB25) <=> v168(constB25))) | (~v161(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34826, 34825])).
% 8.38/6.51 tff(34828,plain,
% 8.38/6.51 (~v161(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34827, 34808])).
% 8.38/6.51 tff(34829,plain,
% 8.38/6.51 ((~(v159(constB25) <=> v161(constB25))) | (~v159(constB25)) | v161(constB25)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34830,plain,
% 8.38/6.51 ((~(v159(constB25) <=> v161(constB25))) | (~v159(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34829, 34828])).
% 8.38/6.51 tff(34831,plain,
% 8.38/6.51 (~v159(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34830, 34790])).
% 8.38/6.51 tff(34832,plain,
% 8.38/6.51 (((~v184(constB25)) | (~v159(constB25))) | v159(constB25)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34833,plain,
% 8.38/6.51 ((~v184(constB25)) | (~v159(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34832, 34831])).
% 8.38/6.51 tff(34834,plain,
% 8.38/6.51 ((~(v187(constB25) <=> (~((~v184(constB25)) | (~v159(constB25)))))) | (~v187(constB25)) | (~((~v184(constB25)) | (~v159(constB25))))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34835,plain,
% 8.38/6.51 (~v187(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34834, 34833, 34788])).
% 8.38/6.51 tff(34836,plain,
% 8.38/6.51 (((~v186(constB25)) | (~v187(constB25))) | v187(constB25)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34837,plain,
% 8.38/6.51 ((~v186(constB25)) | (~v187(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34836, 34835])).
% 8.38/6.51 tff(34838,plain,
% 8.38/6.51 ((~(v185(constB25) <=> (~((~v186(constB25)) | (~v187(constB25)))))) | (~v185(constB25)) | (~((~v186(constB25)) | (~v187(constB25))))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34839,plain,
% 8.38/6.51 (~v185(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34838, 34837, 34786])).
% 8.38/6.51 tff(34840,plain,
% 8.38/6.51 ((~(v181(constB25) | v185(constB25))) | v181(constB25) | v185(constB25)),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34841,plain,
% 8.38/6.51 (~(v181(constB25) | v185(constB25))),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34840, 34839, 34784])).
% 8.38/6.51 tff(34842,plain,
% 8.38/6.51 ((~(v178(constB25) <=> (v181(constB25) | v185(constB25)))) | (~v178(constB25)) | (v181(constB25) | v185(constB25))),
% 8.38/6.51 inference(tautology,[status(thm)],[])).
% 8.38/6.51 tff(34843,plain,
% 8.38/6.51 (~v178(constB25)),
% 8.38/6.51 inference(unit_resolution,[status(thm)],[34842, 34841, 34711])).
% 8.38/6.52 tff(34844,plain,
% 8.38/6.52 ((~(v180(constB26) <=> v178(constB25))) | (~v180(constB26)) | v178(constB25)),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34845,plain,
% 8.38/6.52 (~v180(constB26)),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34844, 34843, 34709])).
% 8.38/6.52 tff(34846,plain,
% 8.38/6.52 ((~(v157(constB26) <=> v180(constB26))) | (~v157(constB26)) | v180(constB26)),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34847,plain,
% 8.38/6.52 (~v157(constB26)),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34846, 34845, 34705])).
% 8.38/6.52 tff(34848,plain,
% 8.38/6.52 (((~v157(constB26)) | (~v182(constB26))) | v157(constB26)),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34849,plain,
% 8.38/6.52 ((~v157(constB26)) | (~v182(constB26))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34848, 34847])).
% 8.38/6.52 tff(34850,plain,
% 8.38/6.52 ((~(v181(constB26) <=> (~((~v157(constB26)) | (~v182(constB26)))))) | (~v181(constB26)) | (~((~v157(constB26)) | (~v182(constB26))))),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34851,plain,
% 8.38/6.52 (~v181(constB26)),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34850, 34849, 34703])).
% 8.38/6.52 tff(34852,plain,
% 8.38/6.52 ((~(v181(constB26) | v185(constB26))) | v181(constB26) | v185(constB26)),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34853,plain,
% 8.38/6.52 (~(v181(constB26) | v185(constB26))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34852, 34851, 34696])).
% 8.38/6.52 tff(34854,plain,
% 8.38/6.52 ((~(v178(constB26) <=> (v181(constB26) | v185(constB26)))) | (~v178(constB26)) | (v181(constB26) | v185(constB26))),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34855,plain,
% 8.38/6.52 (~v178(constB26)),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34854, 34853, 34671])).
% 8.38/6.52 tff(34856,plain,
% 8.38/6.52 ((~(v180(constB27) <=> v178(constB26))) | (~v180(constB27)) | v178(constB26)),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34857,plain,
% 8.38/6.52 (~v180(constB27)),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34856, 34855, 34669])).
% 8.38/6.52 tff(34858,plain,
% 8.38/6.52 ($false),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34857, 34665])).
% 8.38/6.52 tff(34859,plain,(~(constB27 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.38/6.52 tff(34860,assumption,(constB183 = VarCurr!0), introduced(assumption)).
% 8.38/6.52 tff(34861,plain,
% 8.38/6.52 (v180(constB183) <=> v180(VarCurr!0)),
% 8.38/6.52 inference(monotonicity,[status(thm)],[34860])).
% 8.38/6.52 tff(34862,plain,
% 8.38/6.52 (v180(VarCurr!0) <=> v180(constB183)),
% 8.38/6.52 inference(symmetry,[status(thm)],[34861])).
% 8.38/6.52 tff(34863,plain,
% 8.38/6.52 (v180(constB183)),
% 8.38/6.52 inference(modus_ponens,[status(thm)],[59, 34862])).
% 8.38/6.52 tff(34864,plain,
% 8.38/6.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB182, constB183)) | (v180(constB183) <=> v178(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB182, constB183)) | (v180(constB183) <=> v178(constB182)))),
% 8.38/6.52 inference(rewrite,[status(thm)],[])).
% 8.38/6.52 tff(34865,plain,
% 8.38/6.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB182, constB183)) | (v180(constB183) <=> v178(constB182)))),
% 8.38/6.52 inference(quant_inst,[status(thm)],[])).
% 8.38/6.52 tff(34866,plain,
% 8.38/6.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB182, constB183)) | (v180(constB183) <=> v178(constB182))),
% 8.38/6.52 inference(modus_ponens,[status(thm)],[34865, 34864])).
% 8.38/6.52 tff(34867,plain,
% 8.38/6.52 (v180(constB183) <=> v178(constB182)),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34866, 12508, 70])).
% 8.38/6.52 tff(34868,plain,
% 8.38/6.52 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB182) <=> (v181(constB182) | v185(constB182)))),
% 8.38/6.52 inference(quant_inst,[status(thm)],[])).
% 8.38/6.52 tff(34869,plain,
% 8.38/6.52 (v178(constB182) <=> (v181(constB182) | v185(constB182))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34868, 84])).
% 8.38/6.52 tff(34870,plain,
% 8.38/6.52 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB182) <=> (~((~v186(constB182)) | (~v187(constB182)))))),
% 8.38/6.52 inference(quant_inst,[status(thm)],[])).
% 8.38/6.52 tff(34871,plain,
% 8.38/6.52 (v185(constB182) <=> (~((~v186(constB182)) | (~v187(constB182))))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34870, 96])).
% 8.38/6.52 tff(34872,plain,
% 8.38/6.52 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB182) <=> (~((~v184(constB182)) | (~v159(constB182)))))),
% 8.38/6.52 inference(quant_inst,[status(thm)],[])).
% 8.38/6.52 tff(34873,plain,
% 8.38/6.52 (v187(constB182) <=> (~((~v184(constB182)) | (~v159(constB182))))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34872, 108])).
% 8.38/6.52 tff(34874,plain,
% 8.38/6.52 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))),
% 8.38/6.52 inference(quant_inst,[status(thm)],[])).
% 8.38/6.52 tff(34875,plain,
% 8.38/6.52 (v184(constB182) <=> (~((~v39(constB182)) | (~v9(constB182))))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34874, 120])).
% 8.38/6.52 tff(34876,plain,
% 8.38/6.52 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB182)) <=> v1(constB182))),
% 8.38/6.52 inference(quant_inst,[status(thm)],[])).
% 8.38/6.52 tff(34877,plain,
% 8.38/6.52 ((~v39(constB182)) <=> v1(constB182)),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34876, 129])).
% 8.38/6.52 tff(34878,plain,
% 8.38/6.52 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182)) | (~v1(constB182))),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34879,plain,
% 8.38/6.52 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34878, 21184])).
% 8.38/6.52 tff(34880,plain,
% 8.38/6.52 (~v39(constB182)),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34879, 34877])).
% 8.38/6.52 tff(34881,plain,
% 8.38/6.52 (((~v39(constB182)) | (~v9(constB182))) | v39(constB182)),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34882,plain,
% 8.38/6.52 ((~v39(constB182)) | (~v9(constB182))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34881, 34880])).
% 8.38/6.52 tff(34883,plain,
% 8.38/6.52 ((~(v184(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v184(constB182)) | (~((~v39(constB182)) | (~v9(constB182))))),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34884,plain,
% 8.38/6.52 ((~(v184(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v184(constB182))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34883, 34882])).
% 8.38/6.52 tff(34885,plain,
% 8.38/6.52 (~v184(constB182)),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34884, 34875])).
% 8.38/6.52 tff(34886,plain,
% 8.38/6.52 (((~v184(constB182)) | (~v159(constB182))) | v184(constB182)),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34887,plain,
% 8.38/6.52 ((~v184(constB182)) | (~v159(constB182))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34886, 34885])).
% 8.38/6.52 tff(34888,plain,
% 8.38/6.52 ((~(v187(constB182) <=> (~((~v184(constB182)) | (~v159(constB182)))))) | (~v187(constB182)) | (~((~v184(constB182)) | (~v159(constB182))))),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34889,plain,
% 8.38/6.52 ((~(v187(constB182) <=> (~((~v184(constB182)) | (~v159(constB182)))))) | (~v187(constB182))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34888, 34887])).
% 8.38/6.52 tff(34890,plain,
% 8.38/6.52 (~v187(constB182)),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34889, 34873])).
% 8.38/6.52 tff(34891,plain,
% 8.38/6.52 (((~v186(constB182)) | (~v187(constB182))) | v187(constB182)),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34892,plain,
% 8.38/6.52 ((~v186(constB182)) | (~v187(constB182))),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34891, 34890])).
% 8.38/6.52 tff(34893,plain,
% 8.38/6.52 ((~(v185(constB182) <=> (~((~v186(constB182)) | (~v187(constB182)))))) | (~v185(constB182)) | (~((~v186(constB182)) | (~v187(constB182))))),
% 8.38/6.52 inference(tautology,[status(thm)],[])).
% 8.38/6.52 tff(34894,plain,
% 8.38/6.52 (~v185(constB182)),
% 8.38/6.52 inference(unit_resolution,[status(thm)],[34893, 34892, 34871])).
% 8.38/6.52 tff(34895,plain,
% 8.38/6.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182))))))),
% 8.38/6.52 inference(rewrite,[status(thm)],[])).
% 8.38/6.52 tff(34896,plain,
% 8.38/6.52 ((v181(constB182) <=> (~((~v182(constB182)) | (~v157(constB182))))) <=> (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182)))))),
% 8.40/6.52 inference(rewrite,[status(thm)],[])).
% 8.40/6.52 tff(34897,plain,
% 8.40/6.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v182(constB182)) | (~v157(constB182)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182))))))),
% 8.40/6.52 inference(monotonicity,[status(thm)],[34896])).
% 8.40/6.52 tff(34898,plain,
% 8.40/6.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v182(constB182)) | (~v157(constB182)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182))))))),
% 8.40/6.52 inference(transitivity,[status(thm)],[34897, 34895])).
% 8.40/6.52 tff(34899,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v182(constB182)) | (~v157(constB182)))))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34900,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182)))))),
% 8.40/6.52 inference(modus_ponens,[status(thm)],[34899, 34898])).
% 8.40/6.52 tff(34901,plain,
% 8.40/6.52 (v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182))))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34900, 161])).
% 8.40/6.52 tff(34902,plain,
% 8.40/6.52 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB182) <=> v180(constB182))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34903,plain,
% 8.40/6.52 (v157(constB182) <=> v180(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34902, 13])).
% 8.40/6.52 tff(34904,plain,
% 8.40/6.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB181, constB182)) | (v180(constB182) <=> v178(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB181, constB182)) | (v180(constB182) <=> v178(constB181)))),
% 8.40/6.52 inference(rewrite,[status(thm)],[])).
% 8.40/6.52 tff(34905,plain,
% 8.40/6.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB181, constB182)) | (v180(constB182) <=> v178(constB181)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34906,plain,
% 8.40/6.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB181, constB182)) | (v180(constB182) <=> v178(constB181))),
% 8.40/6.52 inference(modus_ponens,[status(thm)],[34905, 34904])).
% 8.40/6.52 tff(34907,plain,
% 8.40/6.52 (v180(constB182) <=> v178(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34906, 12544, 70])).
% 8.40/6.52 tff(34908,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB181) <=> (v181(constB181) | v185(constB181)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34909,plain,
% 8.40/6.52 (v178(constB181) <=> (v181(constB181) | v185(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34908, 84])).
% 8.40/6.52 tff(34910,plain,
% 8.40/6.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181))))))),
% 8.40/6.52 inference(rewrite,[status(thm)],[])).
% 8.40/6.52 tff(34911,plain,
% 8.40/6.52 ((v181(constB181) <=> (~((~v182(constB181)) | (~v157(constB181))))) <=> (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181)))))),
% 8.40/6.52 inference(rewrite,[status(thm)],[])).
% 8.40/6.52 tff(34912,plain,
% 8.40/6.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v182(constB181)) | (~v157(constB181)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181))))))),
% 8.40/6.52 inference(monotonicity,[status(thm)],[34911])).
% 8.40/6.52 tff(34913,plain,
% 8.40/6.52 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v182(constB181)) | (~v157(constB181)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181))))))),
% 8.40/6.52 inference(transitivity,[status(thm)],[34912, 34910])).
% 8.40/6.52 tff(34914,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v182(constB181)) | (~v157(constB181)))))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34915,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181)))))),
% 8.40/6.52 inference(modus_ponens,[status(thm)],[34914, 34913])).
% 8.40/6.52 tff(34916,plain,
% 8.40/6.52 (v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181))))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34915, 161])).
% 8.40/6.52 tff(34917,plain,
% 8.40/6.52 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB181)) <=> v183(constB181))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34918,plain,
% 8.40/6.52 ((~v182(constB181)) <=> v183(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34917, 193])).
% 8.40/6.52 tff(34919,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB181) <=> (v184(constB181) | v26(constB181)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34920,plain,
% 8.40/6.52 (v183(constB181) <=> (v184(constB181) | v26(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34919, 202])).
% 8.40/6.52 tff(34921,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34922,plain,
% 8.40/6.52 (v184(constB181) <=> (~((~v39(constB181)) | (~v9(constB181))))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34921, 120])).
% 8.40/6.52 tff(34923,plain,
% 8.40/6.52 (((~![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)))),
% 8.40/6.52 inference(rewrite,[status(thm)],[])).
% 8.40/6.52 tff(34924,plain,
% 8.40/6.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34925,plain,
% 8.40/6.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181))),
% 8.40/6.52 inference(modus_ponens,[status(thm)],[34924, 34923])).
% 8.40/6.52 tff(34926,plain,
% 8.40/6.52 (v13(constB182) <=> v9(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34925, 12544, 216])).
% 8.40/6.52 tff(34927,plain,
% 8.40/6.52 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB182) <=> v13(constB182))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34928,plain,
% 8.40/6.52 (v6(constB182) <=> v13(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34927, 230])).
% 8.40/6.52 tff(34929,plain,
% 8.40/6.52 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB182)) <=> v6(constB182))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34930,plain,
% 8.40/6.52 ((~v21(constB182)) <=> v6(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34929, 239])).
% 8.40/6.52 tff(34931,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB182) <=> (v20(constB182) | v21(constB182)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34932,plain,
% 8.40/6.52 (v19(constB182) <=> (v20(constB182) | v21(constB182))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34931, 248])).
% 8.40/6.52 tff(34933,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34934,plain,
% 8.40/6.52 (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182))))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34933, 260])).
% 8.40/6.52 tff(34935,plain,
% 8.40/6.52 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB182)) <=> v18(constB182))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34936,plain,
% 8.40/6.52 ((~v4(constB182)) <=> v18(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34935, 269])).
% 8.40/6.52 tff(34937,plain,
% 8.40/6.52 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB182)),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34938,plain,
% 8.40/6.52 (v4(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34937, 278])).
% 8.40/6.52 tff(34939,plain,
% 8.40/6.52 ((~((~v4(constB182)) <=> v18(constB182))) | (~v4(constB182)) | (~v18(constB182))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34940,plain,
% 8.40/6.52 (~v18(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34939, 34938, 34936])).
% 8.40/6.52 tff(34941,plain,
% 8.40/6.52 ((~(v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))) | v18(constB182) | ((~v19(constB182)) | (~v22(constB182)))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34942,plain,
% 8.40/6.52 ((~v19(constB182)) | (~v22(constB182))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34941, 34940, 34934])).
% 8.40/6.52 tff(34943,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB182) <=> (v1(constB182) | v6(constB182)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34944,plain,
% 8.40/6.52 (v22(constB182) <=> (v1(constB182) | v6(constB182))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34943, 291])).
% 8.40/6.52 tff(34945,plain,
% 8.40/6.52 ((v1(constB182) | v6(constB182)) | (~v1(constB182))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34946,plain,
% 8.40/6.52 (v1(constB182) | v6(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34945, 21184])).
% 8.40/6.52 tff(34947,plain,
% 8.40/6.52 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182) | (~(v1(constB182) | v6(constB182)))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34948,plain,
% 8.40/6.52 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34947, 34946])).
% 8.40/6.52 tff(34949,plain,
% 8.40/6.52 (v22(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34948, 34944])).
% 8.40/6.52 tff(34950,plain,
% 8.40/6.52 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182)) | (~v22(constB182))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34951,plain,
% 8.40/6.52 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34950, 34949])).
% 8.40/6.52 tff(34952,plain,
% 8.40/6.52 (~v19(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34951, 34942])).
% 8.40/6.52 tff(34953,plain,
% 8.40/6.52 ((~(v19(constB182) <=> (v20(constB182) | v21(constB182)))) | v19(constB182) | (~(v20(constB182) | v21(constB182)))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34954,plain,
% 8.40/6.52 (~(v20(constB182) | v21(constB182))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34953, 34952, 34932])).
% 8.40/6.52 tff(34955,plain,
% 8.40/6.52 ((v20(constB182) | v21(constB182)) | (~v21(constB182))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34956,plain,
% 8.40/6.52 (~v21(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34955, 34954])).
% 8.40/6.52 tff(34957,plain,
% 8.40/6.52 ((~((~v21(constB182)) <=> v6(constB182))) | v21(constB182) | v6(constB182)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34958,plain,
% 8.40/6.52 (v6(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34957, 34956, 34930])).
% 8.40/6.52 tff(34959,plain,
% 8.40/6.52 ((~(v6(constB182) <=> v13(constB182))) | (~v6(constB182)) | v13(constB182)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34960,plain,
% 8.40/6.52 (v13(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34959, 34958, 34928])).
% 8.40/6.52 tff(34961,plain,
% 8.40/6.52 ((~(v13(constB182) <=> v9(constB181))) | (~v13(constB182)) | v9(constB181)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34962,plain,
% 8.40/6.52 (v9(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34961, 34960, 34926])).
% 8.40/6.52 tff(34963,plain,
% 8.40/6.52 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB181)) <=> v1(constB181))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34964,plain,
% 8.40/6.52 ((~v39(constB181)) <=> v1(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34963, 129])).
% 8.40/6.52 tff(34965,plain,
% 8.40/6.52 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181) | v1(constB181)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34966,plain,
% 8.40/6.52 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34965, 12583])).
% 8.40/6.52 tff(34967,plain,
% 8.40/6.52 (v39(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34966, 34964])).
% 8.40/6.52 tff(34968,plain,
% 8.40/6.52 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v39(constB181)) | (~v9(constB181))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34969,plain,
% 8.40/6.52 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v9(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34968, 34967])).
% 8.40/6.52 tff(34970,plain,
% 8.40/6.52 (~((~v39(constB181)) | (~v9(constB181)))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34969, 34962])).
% 8.40/6.52 tff(34971,plain,
% 8.40/6.52 ((~(v184(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))) | v184(constB181) | ((~v39(constB181)) | (~v9(constB181)))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34972,plain,
% 8.40/6.52 (v184(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34971, 34970, 34922])).
% 8.40/6.52 tff(34973,plain,
% 8.40/6.52 ((v184(constB181) | v26(constB181)) | (~v184(constB181))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34974,plain,
% 8.40/6.52 (v184(constB181) | v26(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34973, 34972])).
% 8.40/6.52 tff(34975,plain,
% 8.40/6.52 ((~(v183(constB181) <=> (v184(constB181) | v26(constB181)))) | v183(constB181) | (~(v184(constB181) | v26(constB181)))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34976,plain,
% 8.40/6.52 (v183(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34975, 34974, 34920])).
% 8.40/6.52 tff(34977,plain,
% 8.40/6.52 ((~((~v182(constB181)) <=> v183(constB181))) | (~v182(constB181)) | (~v183(constB181))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34978,plain,
% 8.40/6.52 (~v182(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34977, 34976, 34918])).
% 8.40/6.52 tff(34979,plain,
% 8.40/6.52 (((~v157(constB181)) | (~v182(constB181))) | v182(constB181)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34980,plain,
% 8.40/6.52 ((~v157(constB181)) | (~v182(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34979, 34978])).
% 8.40/6.52 tff(34981,plain,
% 8.40/6.52 ((~(v181(constB181) <=> (~((~v157(constB181)) | (~v182(constB181)))))) | (~v181(constB181)) | (~((~v157(constB181)) | (~v182(constB181))))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34982,plain,
% 8.40/6.52 (~v181(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34981, 34980, 34916])).
% 8.40/6.52 tff(34983,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB181) <=> (~((~v186(constB181)) | (~v187(constB181)))))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34984,plain,
% 8.40/6.52 (v185(constB181) <=> (~((~v186(constB181)) | (~v187(constB181))))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34983, 96])).
% 8.40/6.52 tff(34985,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB181) <=> (~((~v184(constB181)) | (~v159(constB181)))))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34986,plain,
% 8.40/6.52 (v187(constB181) <=> (~((~v184(constB181)) | (~v159(constB181))))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34985, 108])).
% 8.40/6.52 tff(34987,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB181) <=> v161(constB181))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34988,plain,
% 8.40/6.52 (v159(constB181) <=> v161(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34987, 345])).
% 8.40/6.52 tff(34989,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB181) <=> (v145(constB181) | v165(constB181)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34990,plain,
% 8.40/6.52 (v164(constB181) <=> (v145(constB181) | v165(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34989, 357])).
% 8.40/6.52 tff(34991,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB181) <=> (v142(constB181) | v166(constB181)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(34992,plain,
% 8.40/6.52 (v165(constB181) <=> (v142(constB181) | v166(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34991, 369])).
% 8.40/6.52 tff(34993,plain,
% 8.40/6.52 ((v142(constB181) | v166(constB181)) | (~v142(constB181))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34994,plain,
% 8.40/6.52 (v142(constB181) | v166(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34993, 30530])).
% 8.40/6.52 tff(34995,plain,
% 8.40/6.52 ((~(v165(constB181) <=> (v142(constB181) | v166(constB181)))) | v165(constB181) | (~(v142(constB181) | v166(constB181)))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34996,plain,
% 8.40/6.52 ((~(v165(constB181) <=> (v142(constB181) | v166(constB181)))) | v165(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34995, 34994])).
% 8.40/6.52 tff(34997,plain,
% 8.40/6.52 (v165(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34996, 34992])).
% 8.40/6.52 tff(34998,plain,
% 8.40/6.52 ((v145(constB181) | v165(constB181)) | (~v165(constB181))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(34999,plain,
% 8.40/6.52 (v145(constB181) | v165(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[34998, 34997])).
% 8.40/6.52 tff(35000,plain,
% 8.40/6.52 ((~(v164(constB181) <=> (v145(constB181) | v165(constB181)))) | v164(constB181) | (~(v145(constB181) | v165(constB181)))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35001,plain,
% 8.40/6.52 (v164(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35000, 34999, 34990])).
% 8.40/6.52 tff(35002,plain,
% 8.40/6.52 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB181)) | (v161(constB181) <=> v168(constB181)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB181)) | (v161(constB181) <=> v168(constB181)))),
% 8.40/6.52 inference(rewrite,[status(thm)],[])).
% 8.40/6.52 tff(35003,plain,
% 8.40/6.52 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB181)) | (v161(constB181) <=> v168(constB181)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(35004,plain,
% 8.40/6.52 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB181)) | (v161(constB181) <=> v168(constB181))),
% 8.40/6.52 inference(modus_ponens,[status(thm)],[35003, 35002])).
% 8.40/6.52 tff(35005,plain,
% 8.40/6.52 ((~v164(constB181)) | (v161(constB181) <=> v168(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35004, 12128])).
% 8.40/6.52 tff(35006,plain,
% 8.40/6.52 (v161(constB181) <=> v168(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35005, 35001])).
% 8.40/6.52 tff(35007,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB181) <=> (~(v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2))))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(35008,plain,
% 8.40/6.52 (v139(constB181) <=> (~(v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2)))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35007, 12146])).
% 8.40/6.52 tff(35009,plain,
% 8.40/6.52 ((v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2)) | (~v88(constB181, bitIndex2))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35010,plain,
% 8.40/6.52 (v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35009, 30514])).
% 8.40/6.52 tff(35011,plain,
% 8.40/6.52 ((~(v139(constB181) <=> (~(v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2))))) | (~v139(constB181)) | (~(v88(constB181, bitIndex0) | v88(constB181, bitIndex1) | v88(constB181, bitIndex2)))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35012,plain,
% 8.40/6.52 (~v139(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35011, 35010, 35008])).
% 8.40/6.52 tff(35013,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB181) <=> (~(v88(constB181, bitIndex1) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(35014,plain,
% 8.40/6.52 (v140(constB181) <=> (~(v88(constB181, bitIndex1) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0))))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35013, 12165])).
% 8.40/6.52 tff(35015,plain,
% 8.40/6.52 ((v88(constB181, bitIndex1) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0))) | (~v88(constB181, bitIndex2))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35016,plain,
% 8.40/6.52 (v88(constB181, bitIndex1) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35015, 30514])).
% 8.40/6.52 tff(35017,plain,
% 8.40/6.52 ((~(v140(constB181) <=> (~(v88(constB181, bitIndex1) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0)))))) | (~v140(constB181)) | (~(v88(constB181, bitIndex1) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex0))))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35018,plain,
% 8.40/6.52 (~v140(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35017, 35016, 35014])).
% 8.40/6.52 tff(35019,plain,
% 8.40/6.52 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v168(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB181) | v140(constB181) | (~v168(constB181)))),
% 8.40/6.52 inference(rewrite,[status(thm)],[])).
% 8.40/6.52 tff(35020,plain,
% 8.40/6.52 ((v140(constB181) | v139(constB181) | (~v168(constB181))) <=> (v139(constB181) | v140(constB181) | (~v168(constB181)))),
% 8.40/6.52 inference(rewrite,[status(thm)],[])).
% 8.40/6.52 tff(35021,plain,
% 8.40/6.52 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v168(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB181) | v140(constB181) | (~v168(constB181))))),
% 8.40/6.52 inference(monotonicity,[status(thm)],[35020])).
% 8.40/6.52 tff(35022,plain,
% 8.40/6.52 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v168(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB181) | v140(constB181) | (~v168(constB181)))),
% 8.40/6.52 inference(transitivity,[status(thm)],[35021, 35019])).
% 8.40/6.52 tff(35023,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v168(constB181)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(35024,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB181) | v140(constB181) | (~v168(constB181))),
% 8.40/6.52 inference(modus_ponens,[status(thm)],[35023, 35022])).
% 8.40/6.52 tff(35025,plain,
% 8.40/6.52 (v139(constB181) | v140(constB181) | (~v168(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35024, 12184])).
% 8.40/6.52 tff(35026,plain,
% 8.40/6.52 (~v168(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35025, 35018, 35012])).
% 8.40/6.52 tff(35027,plain,
% 8.40/6.52 ((~(v161(constB181) <=> v168(constB181))) | (~v161(constB181)) | v168(constB181)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35028,plain,
% 8.40/6.52 ((~(v161(constB181) <=> v168(constB181))) | (~v161(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35027, 35026])).
% 8.40/6.52 tff(35029,plain,
% 8.40/6.52 (~v161(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35028, 35006])).
% 8.40/6.52 tff(35030,plain,
% 8.40/6.52 ((~(v159(constB181) <=> v161(constB181))) | (~v159(constB181)) | v161(constB181)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35031,plain,
% 8.40/6.52 ((~(v159(constB181) <=> v161(constB181))) | (~v159(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35030, 35029])).
% 8.40/6.52 tff(35032,plain,
% 8.40/6.52 (~v159(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35031, 34988])).
% 8.40/6.52 tff(35033,plain,
% 8.40/6.52 (((~v184(constB181)) | (~v159(constB181))) | v159(constB181)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35034,plain,
% 8.40/6.52 ((~v184(constB181)) | (~v159(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35033, 35032])).
% 8.40/6.52 tff(35035,plain,
% 8.40/6.52 ((~(v187(constB181) <=> (~((~v184(constB181)) | (~v159(constB181)))))) | (~v187(constB181)) | (~((~v184(constB181)) | (~v159(constB181))))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35036,plain,
% 8.40/6.52 (~v187(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35035, 35034, 34986])).
% 8.40/6.52 tff(35037,plain,
% 8.40/6.52 (((~v186(constB181)) | (~v187(constB181))) | v187(constB181)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35038,plain,
% 8.40/6.52 ((~v186(constB181)) | (~v187(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35037, 35036])).
% 8.40/6.52 tff(35039,plain,
% 8.40/6.52 ((~(v185(constB181) <=> (~((~v186(constB181)) | (~v187(constB181)))))) | (~v185(constB181)) | (~((~v186(constB181)) | (~v187(constB181))))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35040,plain,
% 8.40/6.52 (~v185(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35039, 35038, 34984])).
% 8.40/6.52 tff(35041,plain,
% 8.40/6.52 ((~(v181(constB181) | v185(constB181))) | v181(constB181) | v185(constB181)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35042,plain,
% 8.40/6.52 (~(v181(constB181) | v185(constB181))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35041, 35040, 34982])).
% 8.40/6.52 tff(35043,plain,
% 8.40/6.52 ((~(v178(constB181) <=> (v181(constB181) | v185(constB181)))) | (~v178(constB181)) | (v181(constB181) | v185(constB181))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35044,plain,
% 8.40/6.52 (~v178(constB181)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35043, 35042, 34909])).
% 8.40/6.52 tff(35045,plain,
% 8.40/6.52 ((~(v180(constB182) <=> v178(constB181))) | (~v180(constB182)) | v178(constB181)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35046,plain,
% 8.40/6.52 (~v180(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35045, 35044, 34907])).
% 8.40/6.52 tff(35047,plain,
% 8.40/6.52 ((~(v157(constB182) <=> v180(constB182))) | (~v157(constB182)) | v180(constB182)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35048,plain,
% 8.40/6.52 (~v157(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35047, 35046, 34903])).
% 8.40/6.52 tff(35049,plain,
% 8.40/6.52 (((~v157(constB182)) | (~v182(constB182))) | v157(constB182)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35050,plain,
% 8.40/6.52 ((~v157(constB182)) | (~v182(constB182))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35049, 35048])).
% 8.40/6.52 tff(35051,plain,
% 8.40/6.52 ((~(v181(constB182) <=> (~((~v157(constB182)) | (~v182(constB182)))))) | (~v181(constB182)) | (~((~v157(constB182)) | (~v182(constB182))))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35052,plain,
% 8.40/6.52 (~v181(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35051, 35050, 34901])).
% 8.40/6.52 tff(35053,plain,
% 8.40/6.52 ((~(v181(constB182) | v185(constB182))) | v181(constB182) | v185(constB182)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35054,plain,
% 8.40/6.52 (~(v181(constB182) | v185(constB182))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35053, 35052, 34894])).
% 8.40/6.52 tff(35055,plain,
% 8.40/6.52 ((~(v178(constB182) <=> (v181(constB182) | v185(constB182)))) | (~v178(constB182)) | (v181(constB182) | v185(constB182))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35056,plain,
% 8.40/6.52 (~v178(constB182)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35055, 35054, 34869])).
% 8.40/6.52 tff(35057,plain,
% 8.40/6.52 ((~(v180(constB183) <=> v178(constB182))) | (~v180(constB183)) | v178(constB182)),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35058,plain,
% 8.40/6.52 (~v180(constB183)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35057, 35056, 34867])).
% 8.40/6.52 tff(35059,plain,
% 8.40/6.52 ($false),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35058, 34863])).
% 8.40/6.52 tff(35060,plain,(~(constB183 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.52 tff(35061,assumption,(constB65 = VarCurr!0), introduced(assumption)).
% 8.40/6.52 tff(35062,plain,
% 8.40/6.52 (v86(constB65) <=> v86(VarCurr!0)),
% 8.40/6.52 inference(monotonicity,[status(thm)],[35061])).
% 8.40/6.52 tff(35063,plain,
% 8.40/6.52 (v86(VarCurr!0) <=> v86(constB65)),
% 8.40/6.52 inference(symmetry,[status(thm)],[35062])).
% 8.40/6.52 tff(35064,plain,
% 8.40/6.52 ((~v86(VarCurr!0)) <=> (~v86(constB65))),
% 8.40/6.52 inference(monotonicity,[status(thm)],[35063])).
% 8.40/6.52 tff(35065,plain,
% 8.40/6.52 (~v86(constB65)),
% 8.40/6.52 inference(modus_ponens,[status(thm)],[21766, 35064])).
% 8.40/6.52 tff(35066,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB65) <=> (v136(constB65) | v145(constB65)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(35067,plain,
% 8.40/6.52 (v135(constB65) <=> (v136(constB65) | v145(constB65))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35066, 21774])).
% 8.40/6.52 tff(35068,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB65) <=> (v137(constB65) | v142(constB65)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(35069,plain,
% 8.40/6.52 (v136(constB65) <=> (v137(constB65) | v142(constB65))),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35068, 21783])).
% 8.40/6.52 tff(35070,plain,
% 8.40/6.52 ((v137(constB65) | v142(constB65)) | (~v142(constB65))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35071,plain,
% 8.40/6.52 (v137(constB65) | v142(constB65)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35070, 24232])).
% 8.40/6.52 tff(35072,plain,
% 8.40/6.52 ((~(v136(constB65) <=> (v137(constB65) | v142(constB65)))) | v136(constB65) | (~(v137(constB65) | v142(constB65)))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35073,plain,
% 8.40/6.52 ((~(v136(constB65) <=> (v137(constB65) | v142(constB65)))) | v136(constB65)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35072, 35071])).
% 8.40/6.52 tff(35074,plain,
% 8.40/6.52 (v136(constB65)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35073, 35069])).
% 8.40/6.52 tff(35075,plain,
% 8.40/6.52 ((v136(constB65) | v145(constB65)) | (~v136(constB65))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35076,plain,
% 8.40/6.52 (v136(constB65) | v145(constB65)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35075, 35074])).
% 8.40/6.52 tff(35077,plain,
% 8.40/6.52 ((~(v135(constB65) <=> (v136(constB65) | v145(constB65)))) | v135(constB65) | (~(v136(constB65) | v145(constB65)))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35078,plain,
% 8.40/6.52 (v135(constB65)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35077, 35076, 35067])).
% 8.40/6.52 tff(35079,plain,
% 8.40/6.52 (((~![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)))),
% 8.40/6.52 inference(rewrite,[status(thm)],[])).
% 8.40/6.52 tff(35080,plain,
% 8.40/6.52 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB65)) | (v86(constB65) <=> v148(constB65)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(35081,plain,
% 8.40/6.52 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB65)) | (v86(constB65) <=> v148(constB65))),
% 8.40/6.52 inference(modus_ponens,[status(thm)],[35080, 35079])).
% 8.40/6.52 tff(35082,plain,
% 8.40/6.52 (v86(constB65) <=> v148(constB65)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35081, 21855, 35078])).
% 8.40/6.52 tff(35083,plain,
% 8.40/6.52 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB65) | (~v142(constB65)))),
% 8.40/6.52 inference(rewrite,[status(thm)],[])).
% 8.40/6.52 tff(35084,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB65) | (~v142(constB65)))),
% 8.40/6.52 inference(quant_inst,[status(thm)],[])).
% 8.40/6.52 tff(35085,plain,
% 8.40/6.52 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB65) | (~v142(constB65))),
% 8.40/6.52 inference(modus_ponens,[status(thm)],[35084, 35083])).
% 8.40/6.52 tff(35086,plain,
% 8.40/6.52 (v148(constB65)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35085, 21869, 24232])).
% 8.40/6.52 tff(35087,plain,
% 8.40/6.52 ((~(v86(constB65) <=> v148(constB65))) | v86(constB65) | (~v148(constB65))),
% 8.40/6.52 inference(tautology,[status(thm)],[])).
% 8.40/6.52 tff(35088,plain,
% 8.40/6.52 ((~(v86(constB65) <=> v148(constB65))) | v86(constB65)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35087, 35086])).
% 8.40/6.52 tff(35089,plain,
% 8.40/6.52 (v86(constB65)),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35088, 35082])).
% 8.40/6.52 tff(35090,plain,
% 8.40/6.52 ($false),
% 8.40/6.52 inference(unit_resolution,[status(thm)],[35089, 35065])).
% 8.40/6.52 tff(35091,plain,(~(constB65 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.52 tff(35092,assumption,(constB179 = VarCurr!0), introduced(assumption)).
% 8.40/6.52 tff(35093,plain,
% 8.40/6.52 (v180(constB179) <=> v180(VarCurr!0)),
% 8.40/6.52 inference(monotonicity,[status(thm)],[35092])).
% 8.40/6.52 tff(35094,plain,
% 8.40/6.52 (v180(VarCurr!0) <=> v180(constB179)),
% 8.40/6.52 inference(symmetry,[status(thm)],[35093])).
% 8.40/6.52 tff(35095,plain,
% 8.40/6.52 (v180(constB179)),
% 8.40/6.52 inference(modus_ponens,[status(thm)],[59, 35094])).
% 8.40/6.53 tff(35096,plain,
% 8.40/6.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB178, constB179)) | (v180(constB179) <=> v178(constB178)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB178, constB179)) | (v180(constB179) <=> v178(constB178)))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35097,plain,
% 8.40/6.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB178, constB179)) | (v180(constB179) <=> v178(constB178)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35098,plain,
% 8.40/6.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB178, constB179)) | (v180(constB179) <=> v178(constB178))),
% 8.40/6.53 inference(modus_ponens,[status(thm)],[35097, 35096])).
% 8.40/6.53 tff(35099,plain,
% 8.40/6.53 (v180(constB179) <=> v178(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35098, 12635, 70])).
% 8.40/6.53 tff(35100,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB178) <=> (v181(constB178) | v185(constB178)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35101,plain,
% 8.40/6.53 (v178(constB178) <=> (v181(constB178) | v185(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35100, 84])).
% 8.40/6.53 tff(35102,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB178) <=> (~((~v186(constB178)) | (~v187(constB178)))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35103,plain,
% 8.40/6.53 (v185(constB178) <=> (~((~v186(constB178)) | (~v187(constB178))))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35102, 96])).
% 8.40/6.53 tff(35104,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB178) <=> (~((~v184(constB178)) | (~v159(constB178)))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35105,plain,
% 8.40/6.53 (v187(constB178) <=> (~((~v184(constB178)) | (~v159(constB178))))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35104, 108])).
% 8.40/6.53 tff(35106,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB178) <=> (~((~v39(constB178)) | (~v9(constB178)))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35107,plain,
% 8.40/6.53 (v184(constB178) <=> (~((~v39(constB178)) | (~v9(constB178))))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35106, 120])).
% 8.40/6.53 tff(35108,plain,
% 8.40/6.53 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB178)) <=> v1(constB178))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35109,plain,
% 8.40/6.53 ((~v39(constB178)) <=> v1(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35108, 129])).
% 8.40/6.53 tff(35110,plain,
% 8.40/6.53 ((~((~v39(constB178)) <=> v1(constB178))) | (~v39(constB178)) | (~v1(constB178))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35111,plain,
% 8.40/6.53 ((~((~v39(constB178)) <=> v1(constB178))) | (~v39(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35110, 20869])).
% 8.40/6.53 tff(35112,plain,
% 8.40/6.53 (~v39(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35111, 35109])).
% 8.40/6.53 tff(35113,plain,
% 8.40/6.53 (((~v39(constB178)) | (~v9(constB178))) | v39(constB178)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35114,plain,
% 8.40/6.53 ((~v39(constB178)) | (~v9(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35113, 35112])).
% 8.40/6.53 tff(35115,plain,
% 8.40/6.53 ((~(v184(constB178) <=> (~((~v39(constB178)) | (~v9(constB178)))))) | (~v184(constB178)) | (~((~v39(constB178)) | (~v9(constB178))))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35116,plain,
% 8.40/6.53 ((~(v184(constB178) <=> (~((~v39(constB178)) | (~v9(constB178)))))) | (~v184(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35115, 35114])).
% 8.40/6.53 tff(35117,plain,
% 8.40/6.53 (~v184(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35116, 35107])).
% 8.40/6.53 tff(35118,plain,
% 8.40/6.53 (((~v184(constB178)) | (~v159(constB178))) | v184(constB178)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35119,plain,
% 8.40/6.53 ((~v184(constB178)) | (~v159(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35118, 35117])).
% 8.40/6.53 tff(35120,plain,
% 8.40/6.53 ((~(v187(constB178) <=> (~((~v184(constB178)) | (~v159(constB178)))))) | (~v187(constB178)) | (~((~v184(constB178)) | (~v159(constB178))))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35121,plain,
% 8.40/6.53 ((~(v187(constB178) <=> (~((~v184(constB178)) | (~v159(constB178)))))) | (~v187(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35120, 35119])).
% 8.40/6.53 tff(35122,plain,
% 8.40/6.53 (~v187(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35121, 35105])).
% 8.40/6.53 tff(35123,plain,
% 8.40/6.53 (((~v186(constB178)) | (~v187(constB178))) | v187(constB178)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35124,plain,
% 8.40/6.53 ((~v186(constB178)) | (~v187(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35123, 35122])).
% 8.40/6.53 tff(35125,plain,
% 8.40/6.53 ((~(v185(constB178) <=> (~((~v186(constB178)) | (~v187(constB178)))))) | (~v185(constB178)) | (~((~v186(constB178)) | (~v187(constB178))))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35126,plain,
% 8.40/6.53 (~v185(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35125, 35124, 35103])).
% 8.40/6.53 tff(35127,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178))))))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35128,plain,
% 8.40/6.53 ((v181(constB178) <=> (~((~v182(constB178)) | (~v157(constB178))))) <=> (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178)))))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35129,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v182(constB178)) | (~v157(constB178)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178))))))),
% 8.40/6.53 inference(monotonicity,[status(thm)],[35128])).
% 8.40/6.53 tff(35130,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v182(constB178)) | (~v157(constB178)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178))))))),
% 8.40/6.53 inference(transitivity,[status(thm)],[35129, 35127])).
% 8.40/6.53 tff(35131,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v182(constB178)) | (~v157(constB178)))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35132,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178)))))),
% 8.40/6.53 inference(modus_ponens,[status(thm)],[35131, 35130])).
% 8.40/6.53 tff(35133,plain,
% 8.40/6.53 (v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178))))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35132, 161])).
% 8.40/6.53 tff(35134,plain,
% 8.40/6.53 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB178) <=> v180(constB178))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35135,plain,
% 8.40/6.53 (v157(constB178) <=> v180(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35134, 13])).
% 8.40/6.53 tff(35136,plain,
% 8.40/6.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB177, constB178)) | (v180(constB178) <=> v178(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB177, constB178)) | (v180(constB178) <=> v178(constB177)))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35137,plain,
% 8.40/6.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB177, constB178)) | (v180(constB178) <=> v178(constB177)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35138,plain,
% 8.40/6.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB177, constB178)) | (v180(constB178) <=> v178(constB177))),
% 8.40/6.53 inference(modus_ponens,[status(thm)],[35137, 35136])).
% 8.40/6.53 tff(35139,plain,
% 8.40/6.53 (v180(constB178) <=> v178(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35138, 12671, 70])).
% 8.40/6.53 tff(35140,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB177) <=> (v181(constB177) | v185(constB177)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35141,plain,
% 8.40/6.53 (v178(constB177) <=> (v181(constB177) | v185(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35140, 84])).
% 8.40/6.53 tff(35142,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177))))))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35143,plain,
% 8.40/6.53 ((v181(constB177) <=> (~((~v182(constB177)) | (~v157(constB177))))) <=> (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177)))))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35144,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v182(constB177)) | (~v157(constB177)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177))))))),
% 8.40/6.53 inference(monotonicity,[status(thm)],[35143])).
% 8.40/6.53 tff(35145,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v182(constB177)) | (~v157(constB177)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177))))))),
% 8.40/6.53 inference(transitivity,[status(thm)],[35144, 35142])).
% 8.40/6.53 tff(35146,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v182(constB177)) | (~v157(constB177)))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35147,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177)))))),
% 8.40/6.53 inference(modus_ponens,[status(thm)],[35146, 35145])).
% 8.40/6.53 tff(35148,plain,
% 8.40/6.53 (v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177))))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35147, 161])).
% 8.40/6.53 tff(35149,plain,
% 8.40/6.53 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB177)) <=> v183(constB177))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35150,plain,
% 8.40/6.53 ((~v182(constB177)) <=> v183(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35149, 193])).
% 8.40/6.53 tff(35151,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB177) <=> (v184(constB177) | v26(constB177)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35152,plain,
% 8.40/6.53 (v183(constB177) <=> (v184(constB177) | v26(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35151, 202])).
% 8.40/6.53 tff(35153,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB177) <=> (~((~v39(constB177)) | (~v9(constB177)))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35154,plain,
% 8.40/6.53 (v184(constB177) <=> (~((~v39(constB177)) | (~v9(constB177))))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35153, 120])).
% 8.40/6.53 tff(35155,plain,
% 8.40/6.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177)))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35156,plain,
% 8.40/6.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35157,plain,
% 8.40/6.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177))),
% 8.40/6.53 inference(modus_ponens,[status(thm)],[35156, 35155])).
% 8.40/6.53 tff(35158,plain,
% 8.40/6.53 (v13(constB178) <=> v9(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35157, 12671, 216])).
% 8.40/6.53 tff(35159,plain,
% 8.40/6.53 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB178) <=> v13(constB178))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35160,plain,
% 8.40/6.53 (v6(constB178) <=> v13(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35159, 230])).
% 8.40/6.53 tff(35161,plain,
% 8.40/6.53 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB178)) <=> v6(constB178))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35162,plain,
% 8.40/6.53 ((~v21(constB178)) <=> v6(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35161, 239])).
% 8.40/6.53 tff(35163,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB178) <=> (v20(constB178) | v21(constB178)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35164,plain,
% 8.40/6.53 (v19(constB178) <=> (v20(constB178) | v21(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35163, 248])).
% 8.40/6.53 tff(35165,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB178) <=> (~((~v19(constB178)) | (~v22(constB178)))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35166,plain,
% 8.40/6.53 (v18(constB178) <=> (~((~v19(constB178)) | (~v22(constB178))))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35165, 260])).
% 8.40/6.53 tff(35167,plain,
% 8.40/6.53 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB178)) <=> v18(constB178))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35168,plain,
% 8.40/6.53 ((~v4(constB178)) <=> v18(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35167, 269])).
% 8.40/6.53 tff(35169,plain,
% 8.40/6.53 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB178)),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35170,plain,
% 8.40/6.53 (v4(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35169, 278])).
% 8.40/6.53 tff(35171,plain,
% 8.40/6.53 ((~((~v4(constB178)) <=> v18(constB178))) | (~v4(constB178)) | (~v18(constB178))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35172,plain,
% 8.40/6.53 (~v18(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35171, 35170, 35168])).
% 8.40/6.53 tff(35173,plain,
% 8.40/6.53 ((~(v18(constB178) <=> (~((~v19(constB178)) | (~v22(constB178)))))) | v18(constB178) | ((~v19(constB178)) | (~v22(constB178)))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35174,plain,
% 8.40/6.53 ((~v19(constB178)) | (~v22(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35173, 35172, 35166])).
% 8.40/6.53 tff(35175,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB178) <=> (v1(constB178) | v6(constB178)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35176,plain,
% 8.40/6.53 (v22(constB178) <=> (v1(constB178) | v6(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35175, 291])).
% 8.40/6.53 tff(35177,plain,
% 8.40/6.53 ((v1(constB178) | v6(constB178)) | (~v1(constB178))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35178,plain,
% 8.40/6.53 (v1(constB178) | v6(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35177, 20869])).
% 8.40/6.53 tff(35179,plain,
% 8.40/6.53 ((~(v22(constB178) <=> (v1(constB178) | v6(constB178)))) | v22(constB178) | (~(v1(constB178) | v6(constB178)))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35180,plain,
% 8.40/6.53 ((~(v22(constB178) <=> (v1(constB178) | v6(constB178)))) | v22(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35179, 35178])).
% 8.40/6.53 tff(35181,plain,
% 8.40/6.53 (v22(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35180, 35176])).
% 8.40/6.53 tff(35182,plain,
% 8.40/6.53 ((~((~v19(constB178)) | (~v22(constB178)))) | (~v19(constB178)) | (~v22(constB178))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35183,plain,
% 8.40/6.53 ((~((~v19(constB178)) | (~v22(constB178)))) | (~v19(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35182, 35181])).
% 8.40/6.53 tff(35184,plain,
% 8.40/6.53 (~v19(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35183, 35174])).
% 8.40/6.53 tff(35185,plain,
% 8.40/6.53 ((~(v19(constB178) <=> (v20(constB178) | v21(constB178)))) | v19(constB178) | (~(v20(constB178) | v21(constB178)))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35186,plain,
% 8.40/6.53 (~(v20(constB178) | v21(constB178))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35185, 35184, 35164])).
% 8.40/6.53 tff(35187,plain,
% 8.40/6.53 ((v20(constB178) | v21(constB178)) | (~v21(constB178))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35188,plain,
% 8.40/6.53 (~v21(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35187, 35186])).
% 8.40/6.53 tff(35189,plain,
% 8.40/6.53 ((~((~v21(constB178)) <=> v6(constB178))) | v21(constB178) | v6(constB178)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35190,plain,
% 8.40/6.53 (v6(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35189, 35188, 35162])).
% 8.40/6.53 tff(35191,plain,
% 8.40/6.53 ((~(v6(constB178) <=> v13(constB178))) | (~v6(constB178)) | v13(constB178)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35192,plain,
% 8.40/6.53 (v13(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35191, 35190, 35160])).
% 8.40/6.53 tff(35193,plain,
% 8.40/6.53 ((~(v13(constB178) <=> v9(constB177))) | (~v13(constB178)) | v9(constB177)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35194,plain,
% 8.40/6.53 (v9(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35193, 35192, 35158])).
% 8.40/6.53 tff(35195,plain,
% 8.40/6.53 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB177)) <=> v1(constB177))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35196,plain,
% 8.40/6.53 ((~v39(constB177)) <=> v1(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35195, 129])).
% 8.40/6.53 tff(35197,plain,
% 8.40/6.53 ((~((~v39(constB177)) <=> v1(constB177))) | v39(constB177) | v1(constB177)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35198,plain,
% 8.40/6.53 ((~((~v39(constB177)) <=> v1(constB177))) | v39(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35197, 12715])).
% 8.40/6.53 tff(35199,plain,
% 8.40/6.53 (v39(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35198, 35196])).
% 8.40/6.53 tff(35200,plain,
% 8.40/6.53 ((~((~v39(constB177)) | (~v9(constB177)))) | (~v39(constB177)) | (~v9(constB177))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35201,plain,
% 8.40/6.53 ((~((~v39(constB177)) | (~v9(constB177)))) | (~v9(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35200, 35199])).
% 8.40/6.53 tff(35202,plain,
% 8.40/6.53 (~((~v39(constB177)) | (~v9(constB177)))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35201, 35194])).
% 8.40/6.53 tff(35203,plain,
% 8.40/6.53 ((~(v184(constB177) <=> (~((~v39(constB177)) | (~v9(constB177)))))) | v184(constB177) | ((~v39(constB177)) | (~v9(constB177)))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35204,plain,
% 8.40/6.53 (v184(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35203, 35202, 35154])).
% 8.40/6.53 tff(35205,plain,
% 8.40/6.53 ((v184(constB177) | v26(constB177)) | (~v184(constB177))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35206,plain,
% 8.40/6.53 (v184(constB177) | v26(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35205, 35204])).
% 8.40/6.53 tff(35207,plain,
% 8.40/6.53 ((~(v183(constB177) <=> (v184(constB177) | v26(constB177)))) | v183(constB177) | (~(v184(constB177) | v26(constB177)))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35208,plain,
% 8.40/6.53 (v183(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35207, 35206, 35152])).
% 8.40/6.53 tff(35209,plain,
% 8.40/6.53 ((~((~v182(constB177)) <=> v183(constB177))) | (~v182(constB177)) | (~v183(constB177))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35210,plain,
% 8.40/6.53 (~v182(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35209, 35208, 35150])).
% 8.40/6.53 tff(35211,plain,
% 8.40/6.53 (((~v157(constB177)) | (~v182(constB177))) | v182(constB177)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35212,plain,
% 8.40/6.53 ((~v157(constB177)) | (~v182(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35211, 35210])).
% 8.40/6.53 tff(35213,plain,
% 8.40/6.53 ((~(v181(constB177) <=> (~((~v157(constB177)) | (~v182(constB177)))))) | (~v181(constB177)) | (~((~v157(constB177)) | (~v182(constB177))))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35214,plain,
% 8.40/6.53 (~v181(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35213, 35212, 35148])).
% 8.40/6.53 tff(35215,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB177) <=> (~((~v186(constB177)) | (~v187(constB177)))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35216,plain,
% 8.40/6.53 (v185(constB177) <=> (~((~v186(constB177)) | (~v187(constB177))))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35215, 96])).
% 8.40/6.53 tff(35217,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB177) <=> (~((~v184(constB177)) | (~v159(constB177)))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35218,plain,
% 8.40/6.53 (v187(constB177) <=> (~((~v184(constB177)) | (~v159(constB177))))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35217, 108])).
% 8.40/6.53 tff(35219,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB177) <=> v161(constB177))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35220,plain,
% 8.40/6.53 (v159(constB177) <=> v161(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35219, 345])).
% 8.40/6.53 tff(35221,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB177) <=> (v145(constB177) | v165(constB177)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35222,plain,
% 8.40/6.53 (v164(constB177) <=> (v145(constB177) | v165(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35221, 357])).
% 8.40/6.53 tff(35223,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB177) <=> (v146(constB177) | v147(constB177)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35224,plain,
% 8.40/6.53 (v145(constB177) <=> (v146(constB177) | v147(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35223, 24729])).
% 8.40/6.53 tff(35225,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~(v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~(v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0)))))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35226,plain,
% 8.40/6.53 ((v146(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2))))) <=> (v146(constB177) <=> (~(v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0))))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35227,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~(v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0)))))),
% 8.40/6.53 inference(monotonicity,[status(thm)],[35226])).
% 8.40/6.53 tff(35228,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~(v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0)))))),
% 8.40/6.53 inference(transitivity,[status(thm)],[35227, 35225])).
% 8.40/6.53 tff(35229,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35230,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB177) <=> (~(v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0))))),
% 8.40/6.53 inference(modus_ponens,[status(thm)],[35229, 35228])).
% 8.40/6.53 tff(35231,plain,
% 8.40/6.53 (v146(constB177) <=> (~(v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0)))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35230, 24744])).
% 8.40/6.53 tff(35232,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB177, bitIndex1)) <=> v90(constB177, bitIndex1)) | ((~v88(constB177, bitIndex2)) <=> v90(constB177, bitIndex2)) | ((~v88(constB177, bitIndex0)) <=> v90(constB177, bitIndex0))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35233,plain,
% 8.40/6.53 (~(((~v88(constB177, bitIndex1)) <=> v90(constB177, bitIndex1)) | ((~v88(constB177, bitIndex2)) <=> v90(constB177, bitIndex2)) | ((~v88(constB177, bitIndex0)) <=> v90(constB177, bitIndex0)))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35232, 416])).
% 8.40/6.53 tff(35234,plain,
% 8.40/6.53 ((((~v88(constB177, bitIndex1)) <=> v90(constB177, bitIndex1)) | ((~v88(constB177, bitIndex2)) <=> v90(constB177, bitIndex2)) | ((~v88(constB177, bitIndex0)) <=> v90(constB177, bitIndex0))) | (~((~v88(constB177, bitIndex2)) <=> v90(constB177, bitIndex2)))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35235,plain,
% 8.40/6.53 (~((~v88(constB177, bitIndex2)) <=> v90(constB177, bitIndex2))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35234, 35233])).
% 8.40/6.53 tff(35236,plain,
% 8.40/6.53 (((~v88(constB177, bitIndex2)) <=> v90(constB177, bitIndex2)) | v88(constB177, bitIndex2) | (~v90(constB177, bitIndex2))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35237,plain,
% 8.40/6.53 (v88(constB177, bitIndex2)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35236, 20791, 35235])).
% 8.40/6.53 tff(35238,plain,
% 8.40/6.53 ((((~v88(constB177, bitIndex1)) <=> v90(constB177, bitIndex1)) | ((~v88(constB177, bitIndex2)) <=> v90(constB177, bitIndex2)) | ((~v88(constB177, bitIndex0)) <=> v90(constB177, bitIndex0))) | (~((~v88(constB177, bitIndex0)) <=> v90(constB177, bitIndex0)))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35239,plain,
% 8.40/6.53 (~((~v88(constB177, bitIndex0)) <=> v90(constB177, bitIndex0))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35238, 35233])).
% 8.40/6.53 tff(35240,plain,
% 8.40/6.53 (((~v88(constB177, bitIndex0)) <=> v90(constB177, bitIndex0)) | (~v88(constB177, bitIndex0)) | v90(constB177, bitIndex0)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35241,plain,
% 8.40/6.53 (~v88(constB177, bitIndex0)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35240, 20809, 35239])).
% 8.40/6.53 tff(35242,plain,
% 8.40/6.53 ((((~v88(constB177, bitIndex1)) <=> v90(constB177, bitIndex1)) | ((~v88(constB177, bitIndex2)) <=> v90(constB177, bitIndex2)) | ((~v88(constB177, bitIndex0)) <=> v90(constB177, bitIndex0))) | (~((~v88(constB177, bitIndex1)) <=> v90(constB177, bitIndex1)))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35243,plain,
% 8.40/6.53 (~((~v88(constB177, bitIndex1)) <=> v90(constB177, bitIndex1))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35242, 35233])).
% 8.40/6.53 tff(35244,plain,
% 8.40/6.53 (((~v88(constB177, bitIndex1)) <=> v90(constB177, bitIndex1)) | (~v88(constB177, bitIndex1)) | v90(constB177, bitIndex1)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35245,plain,
% 8.40/6.53 (~v88(constB177, bitIndex1)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35244, 20827, 35243])).
% 8.40/6.53 tff(35246,plain,
% 8.40/6.53 ((~(v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0))) | v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35247,plain,
% 8.40/6.53 (~(v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35246, 35245, 35241, 35237])).
% 8.40/6.53 tff(35248,plain,
% 8.40/6.53 ((~(v146(constB177) <=> (~(v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0))))) | v146(constB177) | (v88(constB177, bitIndex1) | (~v88(constB177, bitIndex2)) | v88(constB177, bitIndex0))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35249,plain,
% 8.40/6.53 (v146(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35248, 35247, 35231])).
% 8.40/6.53 tff(35250,plain,
% 8.40/6.53 ((v146(constB177) | v147(constB177)) | (~v146(constB177))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35251,plain,
% 8.40/6.53 (v146(constB177) | v147(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35250, 35249])).
% 8.40/6.53 tff(35252,plain,
% 8.40/6.53 ((~(v145(constB177) <=> (v146(constB177) | v147(constB177)))) | v145(constB177) | (~(v146(constB177) | v147(constB177)))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35253,plain,
% 8.40/6.53 (v145(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35252, 35251, 35224])).
% 8.40/6.53 tff(35254,plain,
% 8.40/6.53 ((v145(constB177) | v165(constB177)) | (~v145(constB177))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35255,plain,
% 8.40/6.53 (v145(constB177) | v165(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35254, 35253])).
% 8.40/6.53 tff(35256,plain,
% 8.40/6.53 ((~(v164(constB177) <=> (v145(constB177) | v165(constB177)))) | v164(constB177) | (~(v145(constB177) | v165(constB177)))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35257,plain,
% 8.40/6.53 ((~(v164(constB177) <=> (v145(constB177) | v165(constB177)))) | v164(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35256, 35255])).
% 8.40/6.53 tff(35258,plain,
% 8.40/6.53 (v164(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35257, 35222])).
% 8.40/6.53 tff(35259,plain,
% 8.40/6.53 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB177)) | (v161(constB177) <=> v168(constB177)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB177)) | (v161(constB177) <=> v168(constB177)))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35260,plain,
% 8.40/6.53 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB177)) | (v161(constB177) <=> v168(constB177)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35261,plain,
% 8.40/6.53 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB177)) | (v161(constB177) <=> v168(constB177))),
% 8.40/6.53 inference(modus_ponens,[status(thm)],[35260, 35259])).
% 8.40/6.53 tff(35262,plain,
% 8.40/6.53 ((~v164(constB177)) | (v161(constB177) <=> v168(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35261, 12128])).
% 8.40/6.53 tff(35263,plain,
% 8.40/6.53 (v161(constB177) <=> v168(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35262, 35258])).
% 8.40/6.53 tff(35264,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35265,plain,
% 8.40/6.53 (v139(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2)))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35264, 12146])).
% 8.40/6.53 tff(35266,plain,
% 8.40/6.53 ((v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2)) | (~v88(constB177, bitIndex2))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35267,plain,
% 8.40/6.53 (v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35266, 35237])).
% 8.40/6.53 tff(35268,plain,
% 8.40/6.53 ((~(v139(constB177) <=> (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2))))) | (~v139(constB177)) | (~(v88(constB177, bitIndex0) | v88(constB177, bitIndex1) | v88(constB177, bitIndex2)))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35269,plain,
% 8.40/6.53 (~v139(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35268, 35267, 35265])).
% 8.40/6.53 tff(35270,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB177) <=> (~(v88(constB177, bitIndex1) | v88(constB177, bitIndex2) | (~v88(constB177, bitIndex0)))))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35271,plain,
% 8.40/6.53 (v140(constB177) <=> (~(v88(constB177, bitIndex1) | v88(constB177, bitIndex2) | (~v88(constB177, bitIndex0))))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35270, 12165])).
% 8.40/6.53 tff(35272,plain,
% 8.40/6.53 ((v88(constB177, bitIndex1) | v88(constB177, bitIndex2) | (~v88(constB177, bitIndex0))) | (~v88(constB177, bitIndex2))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35273,plain,
% 8.40/6.53 (v88(constB177, bitIndex1) | v88(constB177, bitIndex2) | (~v88(constB177, bitIndex0))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35272, 35237])).
% 8.40/6.53 tff(35274,plain,
% 8.40/6.53 ((~(v140(constB177) <=> (~(v88(constB177, bitIndex1) | v88(constB177, bitIndex2) | (~v88(constB177, bitIndex0)))))) | (~v140(constB177)) | (~(v88(constB177, bitIndex1) | v88(constB177, bitIndex2) | (~v88(constB177, bitIndex0))))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35275,plain,
% 8.40/6.53 (~v140(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35274, 35273, 35271])).
% 8.40/6.53 tff(35276,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB177) | v140(constB177) | (~v168(constB177)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB177) | v140(constB177) | (~v168(constB177)))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35277,plain,
% 8.40/6.53 ((v140(constB177) | v139(constB177) | (~v168(constB177))) <=> (v139(constB177) | v140(constB177) | (~v168(constB177)))),
% 8.40/6.53 inference(rewrite,[status(thm)],[])).
% 8.40/6.53 tff(35278,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB177) | v139(constB177) | (~v168(constB177)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB177) | v140(constB177) | (~v168(constB177))))),
% 8.40/6.53 inference(monotonicity,[status(thm)],[35277])).
% 8.40/6.53 tff(35279,plain,
% 8.40/6.53 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB177) | v139(constB177) | (~v168(constB177)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB177) | v140(constB177) | (~v168(constB177)))),
% 8.40/6.53 inference(transitivity,[status(thm)],[35278, 35276])).
% 8.40/6.53 tff(35280,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB177) | v139(constB177) | (~v168(constB177)))),
% 8.40/6.53 inference(quant_inst,[status(thm)],[])).
% 8.40/6.53 tff(35281,plain,
% 8.40/6.53 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB177) | v140(constB177) | (~v168(constB177))),
% 8.40/6.53 inference(modus_ponens,[status(thm)],[35280, 35279])).
% 8.40/6.53 tff(35282,plain,
% 8.40/6.53 (v139(constB177) | v140(constB177) | (~v168(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35281, 12184])).
% 8.40/6.53 tff(35283,plain,
% 8.40/6.53 (~v168(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35282, 35275, 35269])).
% 8.40/6.53 tff(35284,plain,
% 8.40/6.53 ((~(v161(constB177) <=> v168(constB177))) | (~v161(constB177)) | v168(constB177)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35285,plain,
% 8.40/6.53 ((~(v161(constB177) <=> v168(constB177))) | (~v161(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35284, 35283])).
% 8.40/6.53 tff(35286,plain,
% 8.40/6.53 (~v161(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35285, 35263])).
% 8.40/6.53 tff(35287,plain,
% 8.40/6.53 ((~(v159(constB177) <=> v161(constB177))) | (~v159(constB177)) | v161(constB177)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35288,plain,
% 8.40/6.53 ((~(v159(constB177) <=> v161(constB177))) | (~v159(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35287, 35286])).
% 8.40/6.53 tff(35289,plain,
% 8.40/6.53 (~v159(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35288, 35220])).
% 8.40/6.53 tff(35290,plain,
% 8.40/6.53 (((~v184(constB177)) | (~v159(constB177))) | v159(constB177)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35291,plain,
% 8.40/6.53 ((~v184(constB177)) | (~v159(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35290, 35289])).
% 8.40/6.53 tff(35292,plain,
% 8.40/6.53 ((~(v187(constB177) <=> (~((~v184(constB177)) | (~v159(constB177)))))) | (~v187(constB177)) | (~((~v184(constB177)) | (~v159(constB177))))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35293,plain,
% 8.40/6.53 (~v187(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35292, 35291, 35218])).
% 8.40/6.53 tff(35294,plain,
% 8.40/6.53 (((~v186(constB177)) | (~v187(constB177))) | v187(constB177)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35295,plain,
% 8.40/6.53 ((~v186(constB177)) | (~v187(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35294, 35293])).
% 8.40/6.53 tff(35296,plain,
% 8.40/6.53 ((~(v185(constB177) <=> (~((~v186(constB177)) | (~v187(constB177)))))) | (~v185(constB177)) | (~((~v186(constB177)) | (~v187(constB177))))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35297,plain,
% 8.40/6.53 (~v185(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35296, 35295, 35216])).
% 8.40/6.53 tff(35298,plain,
% 8.40/6.53 ((~(v181(constB177) | v185(constB177))) | v181(constB177) | v185(constB177)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35299,plain,
% 8.40/6.53 (~(v181(constB177) | v185(constB177))),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35298, 35297, 35214])).
% 8.40/6.53 tff(35300,plain,
% 8.40/6.53 ((~(v178(constB177) <=> (v181(constB177) | v185(constB177)))) | (~v178(constB177)) | (v181(constB177) | v185(constB177))),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35301,plain,
% 8.40/6.53 (~v178(constB177)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35300, 35299, 35141])).
% 8.40/6.53 tff(35302,plain,
% 8.40/6.53 ((~(v180(constB178) <=> v178(constB177))) | (~v180(constB178)) | v178(constB177)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35303,plain,
% 8.40/6.53 (~v180(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35302, 35301, 35139])).
% 8.40/6.53 tff(35304,plain,
% 8.40/6.53 ((~(v157(constB178) <=> v180(constB178))) | (~v157(constB178)) | v180(constB178)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35305,plain,
% 8.40/6.53 (~v157(constB178)),
% 8.40/6.53 inference(unit_resolution,[status(thm)],[35304, 35303, 35135])).
% 8.40/6.53 tff(35306,plain,
% 8.40/6.53 (((~v157(constB178)) | (~v182(constB178))) | v157(constB178)),
% 8.40/6.53 inference(tautology,[status(thm)],[])).
% 8.40/6.53 tff(35307,plain,
% 8.40/6.53 ((~v157(constB178)) | (~v182(constB178))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35306, 35305])).
% 8.40/6.54 tff(35308,plain,
% 8.40/6.54 ((~(v181(constB178) <=> (~((~v157(constB178)) | (~v182(constB178)))))) | (~v181(constB178)) | (~((~v157(constB178)) | (~v182(constB178))))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35309,plain,
% 8.40/6.54 (~v181(constB178)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35308, 35307, 35133])).
% 8.40/6.54 tff(35310,plain,
% 8.40/6.54 ((~(v181(constB178) | v185(constB178))) | v181(constB178) | v185(constB178)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35311,plain,
% 8.40/6.54 (~(v181(constB178) | v185(constB178))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35310, 35309, 35126])).
% 8.40/6.54 tff(35312,plain,
% 8.40/6.54 ((~(v178(constB178) <=> (v181(constB178) | v185(constB178)))) | (~v178(constB178)) | (v181(constB178) | v185(constB178))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35313,plain,
% 8.40/6.54 (~v178(constB178)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35312, 35311, 35101])).
% 8.40/6.54 tff(35314,plain,
% 8.40/6.54 ((~(v180(constB179) <=> v178(constB178))) | (~v180(constB179)) | v178(constB178)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35315,plain,
% 8.40/6.54 (~v180(constB179)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35314, 35313, 35099])).
% 8.40/6.54 tff(35316,plain,
% 8.40/6.54 ($false),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35315, 35095])).
% 8.40/6.54 tff(35317,plain,(~(constB179 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.54 tff(35318,assumption,(constB87 = VarCurr!0), introduced(assumption)).
% 8.40/6.54 tff(35319,plain,
% 8.40/6.54 (v180(constB87) <=> v180(VarCurr!0)),
% 8.40/6.54 inference(monotonicity,[status(thm)],[35318])).
% 8.40/6.54 tff(35320,plain,
% 8.40/6.54 (v180(VarCurr!0) <=> v180(constB87)),
% 8.40/6.54 inference(symmetry,[status(thm)],[35319])).
% 8.40/6.54 tff(35321,plain,
% 8.40/6.54 (v180(constB87)),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[59, 35320])).
% 8.40/6.54 tff(35322,plain,
% 8.40/6.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB86, constB87)) | (v180(constB87) <=> v178(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB86, constB87)) | (v180(constB87) <=> v178(constB86)))),
% 8.40/6.54 inference(rewrite,[status(thm)],[])).
% 8.40/6.54 tff(35323,plain,
% 8.40/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB86, constB87)) | (v180(constB87) <=> v178(constB86)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35324,plain,
% 8.40/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB86, constB87)) | (v180(constB87) <=> v178(constB86))),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[35323, 35322])).
% 8.40/6.54 tff(35325,plain,
% 8.40/6.54 (v180(constB87) <=> v178(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35324, 1096, 70])).
% 8.40/6.54 tff(35326,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB86) <=> (v181(constB86) | v185(constB86)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35327,plain,
% 8.40/6.54 (v178(constB86) <=> (v181(constB86) | v185(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35326, 84])).
% 8.40/6.54 tff(35328,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB86) <=> (~((~v186(constB86)) | (~v187(constB86)))))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35329,plain,
% 8.40/6.54 (v185(constB86) <=> (~((~v186(constB86)) | (~v187(constB86))))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35328, 96])).
% 8.40/6.54 tff(35330,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB86) <=> (~((~v184(constB86)) | (~v159(constB86)))))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35331,plain,
% 8.40/6.54 (v187(constB86) <=> (~((~v184(constB86)) | (~v159(constB86))))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35330, 108])).
% 8.40/6.54 tff(35332,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35333,plain,
% 8.40/6.54 (v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86))))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35332, 120])).
% 8.40/6.54 tff(35334,plain,
% 8.40/6.54 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB86)) <=> v1(constB86))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35335,plain,
% 8.40/6.54 ((~v39(constB86)) <=> v1(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35334, 129])).
% 8.40/6.54 tff(35336,plain,
% 8.40/6.54 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86)) | (~v1(constB86))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35337,plain,
% 8.40/6.54 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35336, 10724])).
% 8.40/6.54 tff(35338,plain,
% 8.40/6.54 (~v39(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35337, 35335])).
% 8.40/6.54 tff(35339,plain,
% 8.40/6.54 (((~v39(constB86)) | (~v9(constB86))) | v39(constB86)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35340,plain,
% 8.40/6.54 ((~v39(constB86)) | (~v9(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35339, 35338])).
% 8.40/6.54 tff(35341,plain,
% 8.40/6.54 ((~(v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v184(constB86)) | (~((~v39(constB86)) | (~v9(constB86))))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35342,plain,
% 8.40/6.54 ((~(v184(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v184(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35341, 35340])).
% 8.40/6.54 tff(35343,plain,
% 8.40/6.54 (~v184(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35342, 35333])).
% 8.40/6.54 tff(35344,plain,
% 8.40/6.54 (((~v184(constB86)) | (~v159(constB86))) | v184(constB86)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35345,plain,
% 8.40/6.54 ((~v184(constB86)) | (~v159(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35344, 35343])).
% 8.40/6.54 tff(35346,plain,
% 8.40/6.54 ((~(v187(constB86) <=> (~((~v184(constB86)) | (~v159(constB86)))))) | (~v187(constB86)) | (~((~v184(constB86)) | (~v159(constB86))))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35347,plain,
% 8.40/6.54 ((~(v187(constB86) <=> (~((~v184(constB86)) | (~v159(constB86)))))) | (~v187(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35346, 35345])).
% 8.40/6.54 tff(35348,plain,
% 8.40/6.54 (~v187(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35347, 35331])).
% 8.40/6.54 tff(35349,plain,
% 8.40/6.54 (((~v186(constB86)) | (~v187(constB86))) | v187(constB86)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35350,plain,
% 8.40/6.54 ((~v186(constB86)) | (~v187(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35349, 35348])).
% 8.40/6.54 tff(35351,plain,
% 8.40/6.54 ((~(v185(constB86) <=> (~((~v186(constB86)) | (~v187(constB86)))))) | (~v185(constB86)) | (~((~v186(constB86)) | (~v187(constB86))))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35352,plain,
% 8.40/6.54 (~v185(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35351, 35350, 35329])).
% 8.40/6.54 tff(35353,plain,
% 8.40/6.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86))))))),
% 8.40/6.54 inference(rewrite,[status(thm)],[])).
% 8.40/6.54 tff(35354,plain,
% 8.40/6.54 ((v181(constB86) <=> (~((~v182(constB86)) | (~v157(constB86))))) <=> (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86)))))),
% 8.40/6.54 inference(rewrite,[status(thm)],[])).
% 8.40/6.54 tff(35355,plain,
% 8.40/6.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v182(constB86)) | (~v157(constB86)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86))))))),
% 8.40/6.54 inference(monotonicity,[status(thm)],[35354])).
% 8.40/6.54 tff(35356,plain,
% 8.40/6.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v182(constB86)) | (~v157(constB86)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86))))))),
% 8.40/6.54 inference(transitivity,[status(thm)],[35355, 35353])).
% 8.40/6.54 tff(35357,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v182(constB86)) | (~v157(constB86)))))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35358,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86)))))),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[35357, 35356])).
% 8.40/6.54 tff(35359,plain,
% 8.40/6.54 (v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86))))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35358, 161])).
% 8.40/6.54 tff(35360,plain,
% 8.40/6.54 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB86) <=> v180(constB86))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35361,plain,
% 8.40/6.54 (v157(constB86) <=> v180(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35360, 13])).
% 8.40/6.54 tff(35362,plain,
% 8.40/6.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB85, constB86)) | (v180(constB86) <=> v178(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB85, constB86)) | (v180(constB86) <=> v178(constB85)))),
% 8.40/6.54 inference(rewrite,[status(thm)],[])).
% 8.40/6.54 tff(35363,plain,
% 8.40/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB85, constB86)) | (v180(constB86) <=> v178(constB85)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35364,plain,
% 8.40/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB85, constB86)) | (v180(constB86) <=> v178(constB85))),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[35363, 35362])).
% 8.40/6.54 tff(35365,plain,
% 8.40/6.54 (v180(constB86) <=> v178(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35364, 1132, 70])).
% 8.40/6.54 tff(35366,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB85) <=> (v181(constB85) | v185(constB85)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35367,plain,
% 8.40/6.54 (v178(constB85) <=> (v181(constB85) | v185(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35366, 84])).
% 8.40/6.54 tff(35368,plain,
% 8.40/6.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85))))))),
% 8.40/6.54 inference(rewrite,[status(thm)],[])).
% 8.40/6.54 tff(35369,plain,
% 8.40/6.54 ((v181(constB85) <=> (~((~v182(constB85)) | (~v157(constB85))))) <=> (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85)))))),
% 8.40/6.54 inference(rewrite,[status(thm)],[])).
% 8.40/6.54 tff(35370,plain,
% 8.40/6.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v182(constB85)) | (~v157(constB85)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85))))))),
% 8.40/6.54 inference(monotonicity,[status(thm)],[35369])).
% 8.40/6.54 tff(35371,plain,
% 8.40/6.54 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v182(constB85)) | (~v157(constB85)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85))))))),
% 8.40/6.54 inference(transitivity,[status(thm)],[35370, 35368])).
% 8.40/6.54 tff(35372,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v182(constB85)) | (~v157(constB85)))))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35373,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85)))))),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[35372, 35371])).
% 8.40/6.54 tff(35374,plain,
% 8.40/6.54 (v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85))))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35373, 161])).
% 8.40/6.54 tff(35375,plain,
% 8.40/6.54 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB85)) <=> v183(constB85))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35376,plain,
% 8.40/6.54 ((~v182(constB85)) <=> v183(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35375, 193])).
% 8.40/6.54 tff(35377,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB85) <=> (v184(constB85) | v26(constB85)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35378,plain,
% 8.40/6.54 (v183(constB85) <=> (v184(constB85) | v26(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35377, 202])).
% 8.40/6.54 tff(35379,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35380,plain,
% 8.40/6.54 (v184(constB85) <=> (~((~v39(constB85)) | (~v9(constB85))))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35379, 120])).
% 8.40/6.54 tff(35381,plain,
% 8.40/6.54 (((~![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)))),
% 8.40/6.54 inference(rewrite,[status(thm)],[])).
% 8.40/6.54 tff(35382,plain,
% 8.40/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35383,plain,
% 8.40/6.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85))),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[35382, 35381])).
% 8.40/6.54 tff(35384,plain,
% 8.40/6.54 (v13(constB86) <=> v9(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35383, 1132, 216])).
% 8.40/6.54 tff(35385,plain,
% 8.40/6.54 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB86) <=> v13(constB86))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35386,plain,
% 8.40/6.54 (v6(constB86) <=> v13(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35385, 230])).
% 8.40/6.54 tff(35387,plain,
% 8.40/6.54 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB86)) <=> v6(constB86))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35388,plain,
% 8.40/6.54 ((~v21(constB86)) <=> v6(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35387, 239])).
% 8.40/6.54 tff(35389,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB86) <=> (v20(constB86) | v21(constB86)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35390,plain,
% 8.40/6.54 (v19(constB86) <=> (v20(constB86) | v21(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35389, 248])).
% 8.40/6.54 tff(35391,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35392,plain,
% 8.40/6.54 (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86))))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35391, 260])).
% 8.40/6.54 tff(35393,plain,
% 8.40/6.54 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB86)) <=> v18(constB86))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35394,plain,
% 8.40/6.54 ((~v4(constB86)) <=> v18(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35393, 269])).
% 8.40/6.54 tff(35395,plain,
% 8.40/6.54 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB86)),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35396,plain,
% 8.40/6.54 (v4(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35395, 278])).
% 8.40/6.54 tff(35397,plain,
% 8.40/6.54 ((~((~v4(constB86)) <=> v18(constB86))) | (~v4(constB86)) | (~v18(constB86))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35398,plain,
% 8.40/6.54 (~v18(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35397, 35396, 35394])).
% 8.40/6.54 tff(35399,plain,
% 8.40/6.54 ((~(v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))) | v18(constB86) | ((~v19(constB86)) | (~v22(constB86)))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35400,plain,
% 8.40/6.54 ((~v19(constB86)) | (~v22(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35399, 35398, 35392])).
% 8.40/6.54 tff(35401,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB86) <=> (v1(constB86) | v6(constB86)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35402,plain,
% 8.40/6.54 (v22(constB86) <=> (v1(constB86) | v6(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35401, 291])).
% 8.40/6.54 tff(35403,plain,
% 8.40/6.54 ((v1(constB86) | v6(constB86)) | (~v1(constB86))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35404,plain,
% 8.40/6.54 (v1(constB86) | v6(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35403, 10724])).
% 8.40/6.54 tff(35405,plain,
% 8.40/6.54 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86) | (~(v1(constB86) | v6(constB86)))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35406,plain,
% 8.40/6.54 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35405, 35404])).
% 8.40/6.54 tff(35407,plain,
% 8.40/6.54 (v22(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35406, 35402])).
% 8.40/6.54 tff(35408,plain,
% 8.40/6.54 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86)) | (~v22(constB86))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35409,plain,
% 8.40/6.54 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35408, 35407])).
% 8.40/6.54 tff(35410,plain,
% 8.40/6.54 (~v19(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35409, 35400])).
% 8.40/6.54 tff(35411,plain,
% 8.40/6.54 ((~(v19(constB86) <=> (v20(constB86) | v21(constB86)))) | v19(constB86) | (~(v20(constB86) | v21(constB86)))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35412,plain,
% 8.40/6.54 (~(v20(constB86) | v21(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35411, 35410, 35390])).
% 8.40/6.54 tff(35413,plain,
% 8.40/6.54 ((v20(constB86) | v21(constB86)) | (~v21(constB86))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35414,plain,
% 8.40/6.54 (~v21(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35413, 35412])).
% 8.40/6.54 tff(35415,plain,
% 8.40/6.54 ((~((~v21(constB86)) <=> v6(constB86))) | v21(constB86) | v6(constB86)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35416,plain,
% 8.40/6.54 (v6(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35415, 35414, 35388])).
% 8.40/6.54 tff(35417,plain,
% 8.40/6.54 ((~(v6(constB86) <=> v13(constB86))) | (~v6(constB86)) | v13(constB86)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35418,plain,
% 8.40/6.54 (v13(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35417, 35416, 35386])).
% 8.40/6.54 tff(35419,plain,
% 8.40/6.54 ((~(v13(constB86) <=> v9(constB85))) | (~v13(constB86)) | v9(constB85)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35420,plain,
% 8.40/6.54 (v9(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35419, 35418, 35384])).
% 8.40/6.54 tff(35421,plain,
% 8.40/6.54 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB85)) <=> v1(constB85))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35422,plain,
% 8.40/6.54 ((~v39(constB85)) <=> v1(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35421, 129])).
% 8.40/6.54 tff(35423,plain,
% 8.40/6.54 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85) | v1(constB85)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35424,plain,
% 8.40/6.54 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35423, 1171])).
% 8.40/6.54 tff(35425,plain,
% 8.40/6.54 (v39(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35424, 35422])).
% 8.40/6.54 tff(35426,plain,
% 8.40/6.54 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v39(constB85)) | (~v9(constB85))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35427,plain,
% 8.40/6.54 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v9(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35426, 35425])).
% 8.40/6.54 tff(35428,plain,
% 8.40/6.54 (~((~v39(constB85)) | (~v9(constB85)))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35427, 35420])).
% 8.40/6.54 tff(35429,plain,
% 8.40/6.54 ((~(v184(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))) | v184(constB85) | ((~v39(constB85)) | (~v9(constB85)))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35430,plain,
% 8.40/6.54 (v184(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35429, 35428, 35380])).
% 8.40/6.54 tff(35431,plain,
% 8.40/6.54 ((v184(constB85) | v26(constB85)) | (~v184(constB85))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35432,plain,
% 8.40/6.54 (v184(constB85) | v26(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35431, 35430])).
% 8.40/6.54 tff(35433,plain,
% 8.40/6.54 ((~(v183(constB85) <=> (v184(constB85) | v26(constB85)))) | v183(constB85) | (~(v184(constB85) | v26(constB85)))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35434,plain,
% 8.40/6.54 (v183(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35433, 35432, 35378])).
% 8.40/6.54 tff(35435,plain,
% 8.40/6.54 ((~((~v182(constB85)) <=> v183(constB85))) | (~v182(constB85)) | (~v183(constB85))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35436,plain,
% 8.40/6.54 (~v182(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35435, 35434, 35376])).
% 8.40/6.54 tff(35437,plain,
% 8.40/6.54 (((~v157(constB85)) | (~v182(constB85))) | v182(constB85)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35438,plain,
% 8.40/6.54 ((~v157(constB85)) | (~v182(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35437, 35436])).
% 8.40/6.54 tff(35439,plain,
% 8.40/6.54 ((~(v181(constB85) <=> (~((~v157(constB85)) | (~v182(constB85)))))) | (~v181(constB85)) | (~((~v157(constB85)) | (~v182(constB85))))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35440,plain,
% 8.40/6.54 (~v181(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35439, 35438, 35374])).
% 8.40/6.54 tff(35441,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB85) <=> (~((~v186(constB85)) | (~v187(constB85)))))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35442,plain,
% 8.40/6.54 (v185(constB85) <=> (~((~v186(constB85)) | (~v187(constB85))))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35441, 96])).
% 8.40/6.54 tff(35443,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB85) <=> (~((~v184(constB85)) | (~v159(constB85)))))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35444,plain,
% 8.40/6.54 (v187(constB85) <=> (~((~v184(constB85)) | (~v159(constB85))))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35443, 108])).
% 8.40/6.54 tff(35445,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB85) <=> v161(constB85))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35446,plain,
% 8.40/6.54 (v159(constB85) <=> v161(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35445, 345])).
% 8.40/6.54 tff(35447,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB85) <=> (v145(constB85) | v165(constB85)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35448,plain,
% 8.40/6.54 (v164(constB85) <=> (v145(constB85) | v165(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35447, 357])).
% 8.40/6.54 tff(35449,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB85) <=> (v142(constB85) | v166(constB85)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35450,plain,
% 8.40/6.54 (v165(constB85) <=> (v142(constB85) | v166(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35449, 369])).
% 8.40/6.54 tff(35451,plain,
% 8.40/6.54 ((v142(constB85) | v166(constB85)) | (~v142(constB85))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35452,plain,
% 8.40/6.54 (v142(constB85) | v166(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35451, 29852])).
% 8.40/6.54 tff(35453,plain,
% 8.40/6.54 ((~(v165(constB85) <=> (v142(constB85) | v166(constB85)))) | v165(constB85) | (~(v142(constB85) | v166(constB85)))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35454,plain,
% 8.40/6.54 ((~(v165(constB85) <=> (v142(constB85) | v166(constB85)))) | v165(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35453, 35452])).
% 8.40/6.54 tff(35455,plain,
% 8.40/6.54 (v165(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35454, 35450])).
% 8.40/6.54 tff(35456,plain,
% 8.40/6.54 ((v145(constB85) | v165(constB85)) | (~v165(constB85))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35457,plain,
% 8.40/6.54 (v145(constB85) | v165(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35456, 35455])).
% 8.40/6.54 tff(35458,plain,
% 8.40/6.54 ((~(v164(constB85) <=> (v145(constB85) | v165(constB85)))) | v164(constB85) | (~(v145(constB85) | v165(constB85)))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35459,plain,
% 8.40/6.54 (v164(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35458, 35457, 35448])).
% 8.40/6.54 tff(35460,plain,
% 8.40/6.54 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB85)) | (v161(constB85) <=> v168(constB85)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB85)) | (v161(constB85) <=> v168(constB85)))),
% 8.40/6.54 inference(rewrite,[status(thm)],[])).
% 8.40/6.54 tff(35461,plain,
% 8.40/6.54 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB85)) | (v161(constB85) <=> v168(constB85)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35462,plain,
% 8.40/6.54 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB85)) | (v161(constB85) <=> v168(constB85))),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[35461, 35460])).
% 8.40/6.54 tff(35463,plain,
% 8.40/6.54 ((~v164(constB85)) | (v161(constB85) <=> v168(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35462, 12128])).
% 8.40/6.54 tff(35464,plain,
% 8.40/6.54 (v161(constB85) <=> v168(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35463, 35459])).
% 8.40/6.54 tff(35465,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB85) <=> (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2))))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35466,plain,
% 8.40/6.54 (v139(constB85) <=> (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35465, 12146])).
% 8.40/6.54 tff(35467,plain,
% 8.40/6.54 ((v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)) | (~v88(constB85, bitIndex2))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35468,plain,
% 8.40/6.54 (v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35467, 29836])).
% 8.40/6.54 tff(35469,plain,
% 8.40/6.54 ((~(v139(constB85) <=> (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2))))) | (~v139(constB85)) | (~(v88(constB85, bitIndex0) | v88(constB85, bitIndex1) | v88(constB85, bitIndex2)))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35470,plain,
% 8.40/6.54 (~v139(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35469, 35468, 35466])).
% 8.40/6.54 tff(35471,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB85) <=> (~(v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0)))))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35472,plain,
% 8.40/6.54 (v140(constB85) <=> (~(v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0))))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35471, 12165])).
% 8.40/6.54 tff(35473,plain,
% 8.40/6.54 ((v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0))) | (~v88(constB85, bitIndex2))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35474,plain,
% 8.40/6.54 (v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35473, 29836])).
% 8.40/6.54 tff(35475,plain,
% 8.40/6.54 ((~(v140(constB85) <=> (~(v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0)))))) | (~v140(constB85)) | (~(v88(constB85, bitIndex1) | v88(constB85, bitIndex2) | (~v88(constB85, bitIndex0))))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35476,plain,
% 8.40/6.54 (~v140(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35475, 35474, 35472])).
% 8.40/6.54 tff(35477,plain,
% 8.40/6.54 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB85) | v139(constB85) | (~v168(constB85)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB85) | v139(constB85) | (~v168(constB85)))),
% 8.40/6.54 inference(rewrite,[status(thm)],[])).
% 8.40/6.54 tff(35478,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB85) | v139(constB85) | (~v168(constB85)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35479,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB85) | v139(constB85) | (~v168(constB85))),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[35478, 35477])).
% 8.40/6.54 tff(35480,plain,
% 8.40/6.54 (v140(constB85) | v139(constB85) | (~v168(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35479, 12184])).
% 8.40/6.54 tff(35481,plain,
% 8.40/6.54 (~v168(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35480, 35476, 35470])).
% 8.40/6.54 tff(35482,plain,
% 8.40/6.54 ((~(v161(constB85) <=> v168(constB85))) | (~v161(constB85)) | v168(constB85)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35483,plain,
% 8.40/6.54 ((~(v161(constB85) <=> v168(constB85))) | (~v161(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35482, 35481])).
% 8.40/6.54 tff(35484,plain,
% 8.40/6.54 (~v161(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35483, 35464])).
% 8.40/6.54 tff(35485,plain,
% 8.40/6.54 ((~(v159(constB85) <=> v161(constB85))) | (~v159(constB85)) | v161(constB85)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35486,plain,
% 8.40/6.54 ((~(v159(constB85) <=> v161(constB85))) | (~v159(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35485, 35484])).
% 8.40/6.54 tff(35487,plain,
% 8.40/6.54 (~v159(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35486, 35446])).
% 8.40/6.54 tff(35488,plain,
% 8.40/6.54 (((~v184(constB85)) | (~v159(constB85))) | v159(constB85)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35489,plain,
% 8.40/6.54 ((~v184(constB85)) | (~v159(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35488, 35487])).
% 8.40/6.54 tff(35490,plain,
% 8.40/6.54 ((~(v187(constB85) <=> (~((~v184(constB85)) | (~v159(constB85)))))) | (~v187(constB85)) | (~((~v184(constB85)) | (~v159(constB85))))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35491,plain,
% 8.40/6.54 (~v187(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35490, 35489, 35444])).
% 8.40/6.54 tff(35492,plain,
% 8.40/6.54 (((~v186(constB85)) | (~v187(constB85))) | v187(constB85)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35493,plain,
% 8.40/6.54 ((~v186(constB85)) | (~v187(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35492, 35491])).
% 8.40/6.54 tff(35494,plain,
% 8.40/6.54 ((~(v185(constB85) <=> (~((~v186(constB85)) | (~v187(constB85)))))) | (~v185(constB85)) | (~((~v186(constB85)) | (~v187(constB85))))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35495,plain,
% 8.40/6.54 (~v185(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35494, 35493, 35442])).
% 8.40/6.54 tff(35496,plain,
% 8.40/6.54 ((~(v181(constB85) | v185(constB85))) | v181(constB85) | v185(constB85)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35497,plain,
% 8.40/6.54 (~(v181(constB85) | v185(constB85))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35496, 35495, 35440])).
% 8.40/6.54 tff(35498,plain,
% 8.40/6.54 ((~(v178(constB85) <=> (v181(constB85) | v185(constB85)))) | (~v178(constB85)) | (v181(constB85) | v185(constB85))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35499,plain,
% 8.40/6.54 (~v178(constB85)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35498, 35497, 35367])).
% 8.40/6.54 tff(35500,plain,
% 8.40/6.54 ((~(v180(constB86) <=> v178(constB85))) | (~v180(constB86)) | v178(constB85)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35501,plain,
% 8.40/6.54 (~v180(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35500, 35499, 35365])).
% 8.40/6.54 tff(35502,plain,
% 8.40/6.54 ((~(v157(constB86) <=> v180(constB86))) | (~v157(constB86)) | v180(constB86)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35503,plain,
% 8.40/6.54 (~v157(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35502, 35501, 35361])).
% 8.40/6.54 tff(35504,plain,
% 8.40/6.54 (((~v157(constB86)) | (~v182(constB86))) | v157(constB86)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35505,plain,
% 8.40/6.54 ((~v157(constB86)) | (~v182(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35504, 35503])).
% 8.40/6.54 tff(35506,plain,
% 8.40/6.54 ((~(v181(constB86) <=> (~((~v157(constB86)) | (~v182(constB86)))))) | (~v181(constB86)) | (~((~v157(constB86)) | (~v182(constB86))))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35507,plain,
% 8.40/6.54 (~v181(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35506, 35505, 35359])).
% 8.40/6.54 tff(35508,plain,
% 8.40/6.54 ((~(v181(constB86) | v185(constB86))) | v181(constB86) | v185(constB86)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35509,plain,
% 8.40/6.54 (~(v181(constB86) | v185(constB86))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35508, 35507, 35352])).
% 8.40/6.54 tff(35510,plain,
% 8.40/6.54 ((~(v178(constB86) <=> (v181(constB86) | v185(constB86)))) | (~v178(constB86)) | (v181(constB86) | v185(constB86))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35511,plain,
% 8.40/6.54 (~v178(constB86)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35510, 35509, 35327])).
% 8.40/6.54 tff(35512,plain,
% 8.40/6.54 ((~(v180(constB87) <=> v178(constB86))) | (~v180(constB87)) | v178(constB86)),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35513,plain,
% 8.40/6.54 (~v180(constB87)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35512, 35511, 35325])).
% 8.40/6.54 tff(35514,plain,
% 8.40/6.54 ($false),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35513, 35321])).
% 8.40/6.54 tff(35515,plain,(~(constB87 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.54 tff(35516,assumption,(constB29 = VarCurr!0), introduced(assumption)).
% 8.40/6.54 tff(35517,plain,
% 8.40/6.54 (v86(constB29) <=> v86(VarCurr!0)),
% 8.40/6.54 inference(monotonicity,[status(thm)],[35516])).
% 8.40/6.54 tff(35518,plain,
% 8.40/6.54 (v86(VarCurr!0) <=> v86(constB29)),
% 8.40/6.54 inference(symmetry,[status(thm)],[35517])).
% 8.40/6.54 tff(35519,plain,
% 8.40/6.54 ((~v86(VarCurr!0)) <=> (~v86(constB29))),
% 8.40/6.54 inference(monotonicity,[status(thm)],[35518])).
% 8.40/6.54 tff(35520,plain,
% 8.40/6.54 (~v86(constB29)),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[21766, 35519])).
% 8.40/6.54 tff(35521,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB29) <=> (v136(constB29) | v145(constB29)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35522,plain,
% 8.40/6.54 (v135(constB29) <=> (v136(constB29) | v145(constB29))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35521, 21774])).
% 8.40/6.54 tff(35523,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB29) <=> (v137(constB29) | v142(constB29)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35524,plain,
% 8.40/6.54 (v136(constB29) <=> (v137(constB29) | v142(constB29))),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35523, 21783])).
% 8.40/6.54 tff(35525,plain,
% 8.40/6.54 ((v137(constB29) | v142(constB29)) | (~v142(constB29))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35526,plain,
% 8.40/6.54 (v137(constB29) | v142(constB29)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35525, 29546])).
% 8.40/6.54 tff(35527,plain,
% 8.40/6.54 ((~(v136(constB29) <=> (v137(constB29) | v142(constB29)))) | v136(constB29) | (~(v137(constB29) | v142(constB29)))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35528,plain,
% 8.40/6.54 ((~(v136(constB29) <=> (v137(constB29) | v142(constB29)))) | v136(constB29)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35527, 35526])).
% 8.40/6.54 tff(35529,plain,
% 8.40/6.54 (v136(constB29)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35528, 35524])).
% 8.40/6.54 tff(35530,plain,
% 8.40/6.54 ((v136(constB29) | v145(constB29)) | (~v136(constB29))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35531,plain,
% 8.40/6.54 (v136(constB29) | v145(constB29)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35530, 35529])).
% 8.40/6.54 tff(35532,plain,
% 8.40/6.54 ((~(v135(constB29) <=> (v136(constB29) | v145(constB29)))) | v135(constB29) | (~(v136(constB29) | v145(constB29)))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35533,plain,
% 8.40/6.54 (v135(constB29)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35532, 35531, 35522])).
% 8.40/6.54 tff(35534,plain,
% 8.40/6.54 (((~![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)))),
% 8.40/6.54 inference(rewrite,[status(thm)],[])).
% 8.40/6.54 tff(35535,plain,
% 8.40/6.54 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB29)) | (v86(constB29) <=> v148(constB29)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35536,plain,
% 8.40/6.54 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB29)) | (v86(constB29) <=> v148(constB29))),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[35535, 35534])).
% 8.40/6.54 tff(35537,plain,
% 8.40/6.54 (v86(constB29) <=> v148(constB29)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35536, 21855, 35533])).
% 8.40/6.54 tff(35538,plain,
% 8.40/6.54 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB29) | (~v142(constB29)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB29) | (~v142(constB29)))),
% 8.40/6.54 inference(rewrite,[status(thm)],[])).
% 8.40/6.54 tff(35539,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB29) | (~v142(constB29)))),
% 8.40/6.54 inference(quant_inst,[status(thm)],[])).
% 8.40/6.54 tff(35540,plain,
% 8.40/6.54 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB29) | (~v142(constB29))),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[35539, 35538])).
% 8.40/6.54 tff(35541,plain,
% 8.40/6.54 (v148(constB29)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35540, 21869, 29546])).
% 8.40/6.54 tff(35542,plain,
% 8.40/6.54 ((~(v86(constB29) <=> v148(constB29))) | v86(constB29) | (~v148(constB29))),
% 8.40/6.54 inference(tautology,[status(thm)],[])).
% 8.40/6.54 tff(35543,plain,
% 8.40/6.54 ((~(v86(constB29) <=> v148(constB29))) | v86(constB29)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35542, 35541])).
% 8.40/6.54 tff(35544,plain,
% 8.40/6.54 (v86(constB29)),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35543, 35537])).
% 8.40/6.54 tff(35545,plain,
% 8.40/6.54 ($false),
% 8.40/6.54 inference(unit_resolution,[status(thm)],[35544, 35520])).
% 8.40/6.54 tff(35546,plain,(~(constB29 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.54 tff(35547,assumption,(constB61 = VarCurr!0), introduced(assumption)).
% 8.40/6.54 tff(35548,plain,
% 8.40/6.54 (v86(constB61) <=> v86(VarCurr!0)),
% 8.40/6.54 inference(monotonicity,[status(thm)],[35547])).
% 8.40/6.54 tff(35549,plain,
% 8.40/6.54 (v86(VarCurr!0) <=> v86(constB61)),
% 8.40/6.54 inference(symmetry,[status(thm)],[35548])).
% 8.40/6.54 tff(35550,plain,
% 8.40/6.54 ((~v86(VarCurr!0)) <=> (~v86(constB61))),
% 8.40/6.54 inference(monotonicity,[status(thm)],[35549])).
% 8.40/6.54 tff(35551,plain,
% 8.40/6.54 (~v86(constB61)),
% 8.40/6.54 inference(modus_ponens,[status(thm)],[21766, 35550])).
% 8.40/6.55 tff(35552,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB61) <=> (v136(constB61) | v145(constB61)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35553,plain,
% 8.40/6.55 (v135(constB61) <=> (v136(constB61) | v145(constB61))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35552, 21774])).
% 8.40/6.55 tff(35554,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB61) <=> (v137(constB61) | v142(constB61)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35555,plain,
% 8.40/6.55 (v136(constB61) <=> (v137(constB61) | v142(constB61))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35554, 21783])).
% 8.40/6.55 tff(35556,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB61) <=> (v143(constB61) | v144(constB61)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35557,plain,
% 8.40/6.55 (v142(constB61) <=> (v143(constB61) | v144(constB61))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35556, 21792])).
% 8.40/6.55 tff(35558,plain,
% 8.40/6.55 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~((~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~((~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0)))))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35559,plain,
% 8.40/6.55 ((v144(constB61) <=> (~(v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2))))) <=> (v144(constB61) <=> (~((~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0))))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35560,plain,
% 8.40/6.55 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~(v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~((~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0)))))),
% 8.40/6.55 inference(monotonicity,[status(thm)],[35559])).
% 8.40/6.55 tff(35561,plain,
% 8.40/6.55 (((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~(v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~((~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0)))))),
% 8.40/6.55 inference(transitivity,[status(thm)],[35560, 35558])).
% 8.40/6.55 tff(35562,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~(v88(constB61, bitIndex0) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35563,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex2)))))) | (v144(constB61) <=> (~((~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0))))),
% 8.40/6.55 inference(modus_ponens,[status(thm)],[35562, 35561])).
% 8.40/6.55 tff(35564,plain,
% 8.40/6.55 (v144(constB61) <=> (~((~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0)))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35563, 21807])).
% 8.40/6.55 tff(35565,plain,
% 8.40/6.55 ((~![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))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35566,plain,
% 8.40/6.55 (~(((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)) | ((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)) | ((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0)))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35565, 416])).
% 8.40/6.55 tff(35567,plain,
% 8.40/6.55 ((((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)) | ((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)) | ((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0))) | (~((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35568,plain,
% 8.40/6.55 (~((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35567, 35566])).
% 8.40/6.55 tff(35569,plain,
% 8.40/6.55 (((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)) | v88(constB61, bitIndex2) | (~v90(constB61, bitIndex2))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35570,plain,
% 8.40/6.55 (v88(constB61, bitIndex2)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35569, 8738, 35568])).
% 8.40/6.55 tff(35571,plain,
% 8.40/6.55 ((((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)) | ((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)) | ((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0))) | (~((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35572,plain,
% 8.40/6.55 (~((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35571, 35566])).
% 8.40/6.55 tff(35573,plain,
% 8.40/6.55 (((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0)) | (~v88(constB61, bitIndex0)) | v90(constB61, bitIndex0)),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35574,plain,
% 8.40/6.55 (~v88(constB61, bitIndex0)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35573, 8889, 35572])).
% 8.40/6.55 tff(35575,plain,
% 8.40/6.55 ((((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)) | ((~v88(constB61, bitIndex2)) <=> v90(constB61, bitIndex2)) | ((~v88(constB61, bitIndex0)) <=> v90(constB61, bitIndex0))) | (~((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35576,plain,
% 8.40/6.55 (~((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35575, 35566])).
% 8.40/6.55 tff(35577,plain,
% 8.40/6.55 (((~v88(constB61, bitIndex1)) <=> v90(constB61, bitIndex1)) | v88(constB61, bitIndex1) | (~v90(constB61, bitIndex1))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35578,plain,
% 8.40/6.55 (v88(constB61, bitIndex1)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35577, 8767, 35576])).
% 8.40/6.55 tff(35579,plain,
% 8.40/6.55 ((~((~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0))) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0)),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35580,plain,
% 8.40/6.55 (~((~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35579, 35578, 35574, 35570])).
% 8.40/6.55 tff(35581,plain,
% 8.40/6.55 ((~(v144(constB61) <=> (~((~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0))))) | v144(constB61) | ((~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex2)) | v88(constB61, bitIndex0))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35582,plain,
% 8.40/6.55 (v144(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35581, 35580, 35564])).
% 8.40/6.55 tff(35583,plain,
% 8.40/6.55 ((v143(constB61) | v144(constB61)) | (~v144(constB61))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35584,plain,
% 8.40/6.55 (v143(constB61) | v144(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35583, 35582])).
% 8.40/6.55 tff(35585,plain,
% 8.40/6.55 ((~(v142(constB61) <=> (v143(constB61) | v144(constB61)))) | v142(constB61) | (~(v143(constB61) | v144(constB61)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35586,plain,
% 8.40/6.55 (v142(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35585, 35584, 35557])).
% 8.40/6.55 tff(35587,plain,
% 8.40/6.55 ((v137(constB61) | v142(constB61)) | (~v142(constB61))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35588,plain,
% 8.40/6.55 (v137(constB61) | v142(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35587, 35586])).
% 8.40/6.55 tff(35589,plain,
% 8.40/6.55 ((~(v136(constB61) <=> (v137(constB61) | v142(constB61)))) | v136(constB61) | (~(v137(constB61) | v142(constB61)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35590,plain,
% 8.40/6.55 ((~(v136(constB61) <=> (v137(constB61) | v142(constB61)))) | v136(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35589, 35588])).
% 8.40/6.55 tff(35591,plain,
% 8.40/6.55 (v136(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35590, 35555])).
% 8.40/6.55 tff(35592,plain,
% 8.40/6.55 ((v136(constB61) | v145(constB61)) | (~v136(constB61))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35593,plain,
% 8.40/6.55 (v136(constB61) | v145(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35592, 35591])).
% 8.40/6.55 tff(35594,plain,
% 8.40/6.55 ((~(v135(constB61) <=> (v136(constB61) | v145(constB61)))) | v135(constB61) | (~(v136(constB61) | v145(constB61)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35595,plain,
% 8.40/6.55 (v135(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35594, 35593, 35553])).
% 8.40/6.55 tff(35596,plain,
% 8.40/6.55 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB61)) | (v86(constB61) <=> v148(constB61)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB61)) | (v86(constB61) <=> v148(constB61)))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35597,plain,
% 8.40/6.55 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB61)) | (v86(constB61) <=> v148(constB61)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35598,plain,
% 8.40/6.55 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB61)) | (v86(constB61) <=> v148(constB61))),
% 8.40/6.55 inference(modus_ponens,[status(thm)],[35597, 35596])).
% 8.40/6.55 tff(35599,plain,
% 8.40/6.55 (v86(constB61) <=> v148(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35598, 21855, 35595])).
% 8.40/6.55 tff(35600,plain,
% 8.40/6.55 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB61) | (~v142(constB61)))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35601,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB61) | (~v142(constB61)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35602,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB61) | (~v142(constB61))),
% 8.40/6.55 inference(modus_ponens,[status(thm)],[35601, 35600])).
% 8.40/6.55 tff(35603,plain,
% 8.40/6.55 (v148(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35602, 21869, 35586])).
% 8.40/6.55 tff(35604,plain,
% 8.40/6.55 ((~(v86(constB61) <=> v148(constB61))) | v86(constB61) | (~v148(constB61))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35605,plain,
% 8.40/6.55 ((~(v86(constB61) <=> v148(constB61))) | v86(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35604, 35603])).
% 8.40/6.55 tff(35606,plain,
% 8.40/6.55 (v86(constB61)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35605, 35599])).
% 8.40/6.55 tff(35607,plain,
% 8.40/6.55 ($false),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35606, 35551])).
% 8.40/6.55 tff(35608,plain,(~(constB61 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.55 tff(35609,assumption,(constB75 = VarCurr!0), introduced(assumption)).
% 8.40/6.55 tff(35610,plain,
% 8.40/6.55 (v180(constB75) <=> v180(VarCurr!0)),
% 8.40/6.55 inference(monotonicity,[status(thm)],[35609])).
% 8.40/6.55 tff(35611,plain,
% 8.40/6.55 (v180(VarCurr!0) <=> v180(constB75)),
% 8.40/6.55 inference(symmetry,[status(thm)],[35610])).
% 8.40/6.55 tff(35612,plain,
% 8.40/6.55 (v180(constB75)),
% 8.40/6.55 inference(modus_ponens,[status(thm)],[59, 35611])).
% 8.40/6.55 tff(35613,plain,
% 8.40/6.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB74, constB75)) | (v180(constB75) <=> v178(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB74, constB75)) | (v180(constB75) <=> v178(constB74)))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35614,plain,
% 8.40/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB74, constB75)) | (v180(constB75) <=> v178(constB74)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35615,plain,
% 8.40/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB74, constB75)) | (v180(constB75) <=> v178(constB74))),
% 8.40/6.55 inference(modus_ponens,[status(thm)],[35614, 35613])).
% 8.40/6.55 tff(35616,plain,
% 8.40/6.55 (v180(constB75) <=> v178(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35615, 1482, 70])).
% 8.40/6.55 tff(35617,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB74) <=> (v181(constB74) | v185(constB74)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35618,plain,
% 8.40/6.55 (v178(constB74) <=> (v181(constB74) | v185(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35617, 84])).
% 8.40/6.55 tff(35619,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB74) <=> (~((~v186(constB74)) | (~v187(constB74)))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35620,plain,
% 8.40/6.55 (v185(constB74) <=> (~((~v186(constB74)) | (~v187(constB74))))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35619, 96])).
% 8.40/6.55 tff(35621,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB74) <=> (~((~v184(constB74)) | (~v159(constB74)))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35622,plain,
% 8.40/6.55 (v187(constB74) <=> (~((~v184(constB74)) | (~v159(constB74))))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35621, 108])).
% 8.40/6.55 tff(35623,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35624,plain,
% 8.40/6.55 (v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74))))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35623, 120])).
% 8.40/6.55 tff(35625,plain,
% 8.40/6.55 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB74)) <=> v1(constB74))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35626,plain,
% 8.40/6.55 ((~v39(constB74)) <=> v1(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35625, 129])).
% 8.40/6.55 tff(35627,plain,
% 8.40/6.55 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74)) | (~v1(constB74))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35628,plain,
% 8.40/6.55 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35627, 9789])).
% 8.40/6.55 tff(35629,plain,
% 8.40/6.55 (~v39(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35628, 35626])).
% 8.40/6.55 tff(35630,plain,
% 8.40/6.55 (((~v39(constB74)) | (~v9(constB74))) | v39(constB74)),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35631,plain,
% 8.40/6.55 ((~v39(constB74)) | (~v9(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35630, 35629])).
% 8.40/6.55 tff(35632,plain,
% 8.40/6.55 ((~(v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v184(constB74)) | (~((~v39(constB74)) | (~v9(constB74))))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35633,plain,
% 8.40/6.55 ((~(v184(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v184(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35632, 35631])).
% 8.40/6.55 tff(35634,plain,
% 8.40/6.55 (~v184(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35633, 35624])).
% 8.40/6.55 tff(35635,plain,
% 8.40/6.55 (((~v184(constB74)) | (~v159(constB74))) | v184(constB74)),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35636,plain,
% 8.40/6.55 ((~v184(constB74)) | (~v159(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35635, 35634])).
% 8.40/6.55 tff(35637,plain,
% 8.40/6.55 ((~(v187(constB74) <=> (~((~v184(constB74)) | (~v159(constB74)))))) | (~v187(constB74)) | (~((~v184(constB74)) | (~v159(constB74))))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35638,plain,
% 8.40/6.55 ((~(v187(constB74) <=> (~((~v184(constB74)) | (~v159(constB74)))))) | (~v187(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35637, 35636])).
% 8.40/6.55 tff(35639,plain,
% 8.40/6.55 (~v187(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35638, 35622])).
% 8.40/6.55 tff(35640,plain,
% 8.40/6.55 (((~v186(constB74)) | (~v187(constB74))) | v187(constB74)),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35641,plain,
% 8.40/6.55 ((~v186(constB74)) | (~v187(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35640, 35639])).
% 8.40/6.55 tff(35642,plain,
% 8.40/6.55 ((~(v185(constB74) <=> (~((~v186(constB74)) | (~v187(constB74)))))) | (~v185(constB74)) | (~((~v186(constB74)) | (~v187(constB74))))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35643,plain,
% 8.40/6.55 (~v185(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35642, 35641, 35620])).
% 8.40/6.55 tff(35644,plain,
% 8.40/6.55 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74))))))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35645,plain,
% 8.40/6.55 ((v181(constB74) <=> (~((~v182(constB74)) | (~v157(constB74))))) <=> (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74)))))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35646,plain,
% 8.40/6.55 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v182(constB74)) | (~v157(constB74)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74))))))),
% 8.40/6.55 inference(monotonicity,[status(thm)],[35645])).
% 8.40/6.55 tff(35647,plain,
% 8.40/6.55 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v182(constB74)) | (~v157(constB74)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74))))))),
% 8.40/6.55 inference(transitivity,[status(thm)],[35646, 35644])).
% 8.40/6.55 tff(35648,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v182(constB74)) | (~v157(constB74)))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35649,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74)))))),
% 8.40/6.55 inference(modus_ponens,[status(thm)],[35648, 35647])).
% 8.40/6.55 tff(35650,plain,
% 8.40/6.55 (v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74))))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35649, 161])).
% 8.40/6.55 tff(35651,plain,
% 8.40/6.55 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB74) <=> v180(constB74))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35652,plain,
% 8.40/6.55 (v157(constB74) <=> v180(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35651, 13])).
% 8.40/6.55 tff(35653,plain,
% 8.40/6.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB73, constB74)) | (v180(constB74) <=> v178(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB73, constB74)) | (v180(constB74) <=> v178(constB73)))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35654,plain,
% 8.40/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB73, constB74)) | (v180(constB74) <=> v178(constB73)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35655,plain,
% 8.40/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB73, constB74)) | (v180(constB74) <=> v178(constB73))),
% 8.40/6.55 inference(modus_ponens,[status(thm)],[35654, 35653])).
% 8.40/6.55 tff(35656,plain,
% 8.40/6.55 (v180(constB74) <=> v178(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35655, 1518, 70])).
% 8.40/6.55 tff(35657,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB73) <=> (v181(constB73) | v185(constB73)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35658,plain,
% 8.40/6.55 (v178(constB73) <=> (v181(constB73) | v185(constB73))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35657, 84])).
% 8.40/6.55 tff(35659,plain,
% 8.40/6.55 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73))))))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35660,plain,
% 8.40/6.55 ((v181(constB73) <=> (~((~v182(constB73)) | (~v157(constB73))))) <=> (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73)))))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35661,plain,
% 8.40/6.55 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v182(constB73)) | (~v157(constB73)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73))))))),
% 8.40/6.55 inference(monotonicity,[status(thm)],[35660])).
% 8.40/6.55 tff(35662,plain,
% 8.40/6.55 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v182(constB73)) | (~v157(constB73)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73))))))),
% 8.40/6.55 inference(transitivity,[status(thm)],[35661, 35659])).
% 8.40/6.55 tff(35663,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v182(constB73)) | (~v157(constB73)))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35664,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73)))))),
% 8.40/6.55 inference(modus_ponens,[status(thm)],[35663, 35662])).
% 8.40/6.55 tff(35665,plain,
% 8.40/6.55 (v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73))))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35664, 161])).
% 8.40/6.55 tff(35666,plain,
% 8.40/6.55 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB73)) <=> v183(constB73))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35667,plain,
% 8.40/6.55 ((~v182(constB73)) <=> v183(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35666, 193])).
% 8.40/6.55 tff(35668,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB73) <=> (v184(constB73) | v26(constB73)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35669,plain,
% 8.40/6.55 (v183(constB73) <=> (v184(constB73) | v26(constB73))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35668, 202])).
% 8.40/6.55 tff(35670,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35671,plain,
% 8.40/6.55 (v184(constB73) <=> (~((~v39(constB73)) | (~v9(constB73))))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35670, 120])).
% 8.40/6.55 tff(35672,plain,
% 8.40/6.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35673,plain,
% 8.40/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35674,plain,
% 8.40/6.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73))),
% 8.40/6.55 inference(modus_ponens,[status(thm)],[35673, 35672])).
% 8.40/6.55 tff(35675,plain,
% 8.40/6.55 (v13(constB74) <=> v9(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35674, 1518, 216])).
% 8.40/6.55 tff(35676,plain,
% 8.40/6.55 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB74) <=> v13(constB74))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35677,plain,
% 8.40/6.55 (v6(constB74) <=> v13(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35676, 230])).
% 8.40/6.55 tff(35678,plain,
% 8.40/6.55 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB74)) <=> v6(constB74))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35679,plain,
% 8.40/6.55 ((~v21(constB74)) <=> v6(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35678, 239])).
% 8.40/6.55 tff(35680,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB74) <=> (v20(constB74) | v21(constB74)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35681,plain,
% 8.40/6.55 (v19(constB74) <=> (v20(constB74) | v21(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35680, 248])).
% 8.40/6.55 tff(35682,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35683,plain,
% 8.40/6.55 (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74))))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35682, 260])).
% 8.40/6.55 tff(35684,plain,
% 8.40/6.55 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB74)) <=> v18(constB74))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35685,plain,
% 8.40/6.55 ((~v4(constB74)) <=> v18(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35684, 269])).
% 8.40/6.55 tff(35686,plain,
% 8.40/6.55 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB74)),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35687,plain,
% 8.40/6.55 (v4(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35686, 278])).
% 8.40/6.55 tff(35688,plain,
% 8.40/6.55 ((~((~v4(constB74)) <=> v18(constB74))) | (~v4(constB74)) | (~v18(constB74))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35689,plain,
% 8.40/6.55 (~v18(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35688, 35687, 35685])).
% 8.40/6.55 tff(35690,plain,
% 8.40/6.55 ((~(v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))) | v18(constB74) | ((~v19(constB74)) | (~v22(constB74)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35691,plain,
% 8.40/6.55 ((~v19(constB74)) | (~v22(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35690, 35689, 35683])).
% 8.40/6.55 tff(35692,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB74) <=> (v1(constB74) | v6(constB74)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35693,plain,
% 8.40/6.55 (v22(constB74) <=> (v1(constB74) | v6(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35692, 291])).
% 8.40/6.55 tff(35694,plain,
% 8.40/6.55 ((v1(constB74) | v6(constB74)) | (~v1(constB74))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35695,plain,
% 8.40/6.55 (v1(constB74) | v6(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35694, 9789])).
% 8.40/6.55 tff(35696,plain,
% 8.40/6.55 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74) | (~(v1(constB74) | v6(constB74)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35697,plain,
% 8.40/6.55 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35696, 35695])).
% 8.40/6.55 tff(35698,plain,
% 8.40/6.55 (v22(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35697, 35693])).
% 8.40/6.55 tff(35699,plain,
% 8.40/6.55 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74)) | (~v22(constB74))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35700,plain,
% 8.40/6.55 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35699, 35698])).
% 8.40/6.55 tff(35701,plain,
% 8.40/6.55 (~v19(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35700, 35691])).
% 8.40/6.55 tff(35702,plain,
% 8.40/6.55 ((~(v19(constB74) <=> (v20(constB74) | v21(constB74)))) | v19(constB74) | (~(v20(constB74) | v21(constB74)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35703,plain,
% 8.40/6.55 (~(v20(constB74) | v21(constB74))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35702, 35701, 35681])).
% 8.40/6.55 tff(35704,plain,
% 8.40/6.55 ((v20(constB74) | v21(constB74)) | (~v21(constB74))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35705,plain,
% 8.40/6.55 (~v21(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35704, 35703])).
% 8.40/6.55 tff(35706,plain,
% 8.40/6.55 ((~((~v21(constB74)) <=> v6(constB74))) | v21(constB74) | v6(constB74)),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35707,plain,
% 8.40/6.55 (v6(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35706, 35705, 35679])).
% 8.40/6.55 tff(35708,plain,
% 8.40/6.55 ((~(v6(constB74) <=> v13(constB74))) | (~v6(constB74)) | v13(constB74)),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35709,plain,
% 8.40/6.55 (v13(constB74)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35708, 35707, 35677])).
% 8.40/6.55 tff(35710,plain,
% 8.40/6.55 ((~(v13(constB74) <=> v9(constB73))) | (~v13(constB74)) | v9(constB73)),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35711,plain,
% 8.40/6.55 (v9(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35710, 35709, 35675])).
% 8.40/6.55 tff(35712,plain,
% 8.40/6.55 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB73)) <=> v1(constB73))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35713,plain,
% 8.40/6.55 ((~v39(constB73)) <=> v1(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35712, 129])).
% 8.40/6.55 tff(35714,plain,
% 8.40/6.55 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73) | v1(constB73)),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35715,plain,
% 8.40/6.55 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35714, 1557])).
% 8.40/6.55 tff(35716,plain,
% 8.40/6.55 (v39(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35715, 35713])).
% 8.40/6.55 tff(35717,plain,
% 8.40/6.55 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v39(constB73)) | (~v9(constB73))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35718,plain,
% 8.40/6.55 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v9(constB73))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35717, 35716])).
% 8.40/6.55 tff(35719,plain,
% 8.40/6.55 (~((~v39(constB73)) | (~v9(constB73)))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35718, 35711])).
% 8.40/6.55 tff(35720,plain,
% 8.40/6.55 ((~(v184(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))) | v184(constB73) | ((~v39(constB73)) | (~v9(constB73)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35721,plain,
% 8.40/6.55 (v184(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35720, 35719, 35671])).
% 8.40/6.55 tff(35722,plain,
% 8.40/6.55 ((v184(constB73) | v26(constB73)) | (~v184(constB73))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35723,plain,
% 8.40/6.55 (v184(constB73) | v26(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35722, 35721])).
% 8.40/6.55 tff(35724,plain,
% 8.40/6.55 ((~(v183(constB73) <=> (v184(constB73) | v26(constB73)))) | v183(constB73) | (~(v184(constB73) | v26(constB73)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35725,plain,
% 8.40/6.55 (v183(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35724, 35723, 35669])).
% 8.40/6.55 tff(35726,plain,
% 8.40/6.55 ((~((~v182(constB73)) <=> v183(constB73))) | (~v182(constB73)) | (~v183(constB73))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35727,plain,
% 8.40/6.55 (~v182(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35726, 35725, 35667])).
% 8.40/6.55 tff(35728,plain,
% 8.40/6.55 (((~v157(constB73)) | (~v182(constB73))) | v182(constB73)),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35729,plain,
% 8.40/6.55 ((~v157(constB73)) | (~v182(constB73))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35728, 35727])).
% 8.40/6.55 tff(35730,plain,
% 8.40/6.55 ((~(v181(constB73) <=> (~((~v157(constB73)) | (~v182(constB73)))))) | (~v181(constB73)) | (~((~v157(constB73)) | (~v182(constB73))))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35731,plain,
% 8.40/6.55 (~v181(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35730, 35729, 35665])).
% 8.40/6.55 tff(35732,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB73) <=> (~((~v186(constB73)) | (~v187(constB73)))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35733,plain,
% 8.40/6.55 (v185(constB73) <=> (~((~v186(constB73)) | (~v187(constB73))))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35732, 96])).
% 8.40/6.55 tff(35734,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB73) <=> (~((~v184(constB73)) | (~v159(constB73)))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35735,plain,
% 8.40/6.55 (v187(constB73) <=> (~((~v184(constB73)) | (~v159(constB73))))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35734, 108])).
% 8.40/6.55 tff(35736,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB73) <=> v161(constB73))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35737,plain,
% 8.40/6.55 (v159(constB73) <=> v161(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35736, 345])).
% 8.40/6.55 tff(35738,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB73) <=> (v145(constB73) | v165(constB73)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35739,plain,
% 8.40/6.55 (v164(constB73) <=> (v145(constB73) | v165(constB73))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35738, 357])).
% 8.40/6.55 tff(35740,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB73) <=> (v142(constB73) | v166(constB73)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35741,plain,
% 8.40/6.55 (v165(constB73) <=> (v142(constB73) | v166(constB73))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35740, 369])).
% 8.40/6.55 tff(35742,plain,
% 8.40/6.55 ((v142(constB73) | v166(constB73)) | (~v142(constB73))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35743,plain,
% 8.40/6.55 (v142(constB73) | v166(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35742, 25332])).
% 8.40/6.55 tff(35744,plain,
% 8.40/6.55 ((~(v165(constB73) <=> (v142(constB73) | v166(constB73)))) | v165(constB73) | (~(v142(constB73) | v166(constB73)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35745,plain,
% 8.40/6.55 ((~(v165(constB73) <=> (v142(constB73) | v166(constB73)))) | v165(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35744, 35743])).
% 8.40/6.55 tff(35746,plain,
% 8.40/6.55 (v165(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35745, 35741])).
% 8.40/6.55 tff(35747,plain,
% 8.40/6.55 ((v145(constB73) | v165(constB73)) | (~v165(constB73))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35748,plain,
% 8.40/6.55 (v145(constB73) | v165(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35747, 35746])).
% 8.40/6.55 tff(35749,plain,
% 8.40/6.55 ((~(v164(constB73) <=> (v145(constB73) | v165(constB73)))) | v164(constB73) | (~(v145(constB73) | v165(constB73)))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35750,plain,
% 8.40/6.55 (v164(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35749, 35748, 35739])).
% 8.40/6.55 tff(35751,plain,
% 8.40/6.55 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB73)) | (v161(constB73) <=> v168(constB73)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB73)) | (v161(constB73) <=> v168(constB73)))),
% 8.40/6.55 inference(rewrite,[status(thm)],[])).
% 8.40/6.55 tff(35752,plain,
% 8.40/6.55 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB73)) | (v161(constB73) <=> v168(constB73)))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35753,plain,
% 8.40/6.55 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB73)) | (v161(constB73) <=> v168(constB73))),
% 8.40/6.55 inference(modus_ponens,[status(thm)],[35752, 35751])).
% 8.40/6.55 tff(35754,plain,
% 8.40/6.55 ((~v164(constB73)) | (v161(constB73) <=> v168(constB73))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35753, 12128])).
% 8.40/6.55 tff(35755,plain,
% 8.40/6.55 (v161(constB73) <=> v168(constB73)),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35754, 35750])).
% 8.40/6.55 tff(35756,plain,
% 8.40/6.55 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB73) <=> (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2))))),
% 8.40/6.55 inference(quant_inst,[status(thm)],[])).
% 8.40/6.55 tff(35757,plain,
% 8.40/6.55 (v139(constB73) <=> (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)))),
% 8.40/6.55 inference(unit_resolution,[status(thm)],[35756, 12146])).
% 8.40/6.55 tff(35758,plain,
% 8.40/6.55 ((v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)) | (~v88(constB73, bitIndex2))),
% 8.40/6.55 inference(tautology,[status(thm)],[])).
% 8.40/6.55 tff(35759,plain,
% 8.40/6.55 (v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35758, 25316])).
% 8.40/6.56 tff(35760,plain,
% 8.40/6.56 ((~(v139(constB73) <=> (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2))))) | (~v139(constB73)) | (~(v88(constB73, bitIndex0) | v88(constB73, bitIndex1) | v88(constB73, bitIndex2)))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35761,plain,
% 8.40/6.56 (~v139(constB73)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35760, 35759, 35757])).
% 8.40/6.56 tff(35762,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB73) <=> (~(v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0)))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35763,plain,
% 8.40/6.56 (v140(constB73) <=> (~(v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0))))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35762, 12165])).
% 8.40/6.56 tff(35764,plain,
% 8.40/6.56 ((v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0))) | (~v88(constB73, bitIndex2))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35765,plain,
% 8.40/6.56 (v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35764, 25316])).
% 8.40/6.56 tff(35766,plain,
% 8.40/6.56 ((~(v140(constB73) <=> (~(v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0)))))) | (~v140(constB73)) | (~(v88(constB73, bitIndex1) | v88(constB73, bitIndex2) | (~v88(constB73, bitIndex0))))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35767,plain,
% 8.40/6.56 (~v140(constB73)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35766, 35765, 35763])).
% 8.40/6.56 tff(35768,plain,
% 8.40/6.56 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB73) | v139(constB73) | (~v168(constB73)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB73) | v139(constB73) | (~v168(constB73)))),
% 8.40/6.56 inference(rewrite,[status(thm)],[])).
% 8.40/6.56 tff(35769,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB73) | v139(constB73) | (~v168(constB73)))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35770,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB73) | v139(constB73) | (~v168(constB73))),
% 8.40/6.56 inference(modus_ponens,[status(thm)],[35769, 35768])).
% 8.40/6.56 tff(35771,plain,
% 8.40/6.56 (v140(constB73) | v139(constB73) | (~v168(constB73))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35770, 12184])).
% 8.40/6.56 tff(35772,plain,
% 8.40/6.56 (~v168(constB73)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35771, 35767, 35761])).
% 8.40/6.56 tff(35773,plain,
% 8.40/6.56 ((~(v161(constB73) <=> v168(constB73))) | (~v161(constB73)) | v168(constB73)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35774,plain,
% 8.40/6.56 ((~(v161(constB73) <=> v168(constB73))) | (~v161(constB73))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35773, 35772])).
% 8.40/6.56 tff(35775,plain,
% 8.40/6.56 (~v161(constB73)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35774, 35755])).
% 8.40/6.56 tff(35776,plain,
% 8.40/6.56 ((~(v159(constB73) <=> v161(constB73))) | (~v159(constB73)) | v161(constB73)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35777,plain,
% 8.40/6.56 ((~(v159(constB73) <=> v161(constB73))) | (~v159(constB73))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35776, 35775])).
% 8.40/6.56 tff(35778,plain,
% 8.40/6.56 (~v159(constB73)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35777, 35737])).
% 8.40/6.56 tff(35779,plain,
% 8.40/6.56 (((~v184(constB73)) | (~v159(constB73))) | v159(constB73)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35780,plain,
% 8.40/6.56 ((~v184(constB73)) | (~v159(constB73))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35779, 35778])).
% 8.40/6.56 tff(35781,plain,
% 8.40/6.56 ((~(v187(constB73) <=> (~((~v184(constB73)) | (~v159(constB73)))))) | (~v187(constB73)) | (~((~v184(constB73)) | (~v159(constB73))))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35782,plain,
% 8.40/6.56 (~v187(constB73)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35781, 35780, 35735])).
% 8.40/6.56 tff(35783,plain,
% 8.40/6.56 (((~v186(constB73)) | (~v187(constB73))) | v187(constB73)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35784,plain,
% 8.40/6.56 ((~v186(constB73)) | (~v187(constB73))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35783, 35782])).
% 8.40/6.56 tff(35785,plain,
% 8.40/6.56 ((~(v185(constB73) <=> (~((~v186(constB73)) | (~v187(constB73)))))) | (~v185(constB73)) | (~((~v186(constB73)) | (~v187(constB73))))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35786,plain,
% 8.40/6.56 (~v185(constB73)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35785, 35784, 35733])).
% 8.40/6.56 tff(35787,plain,
% 8.40/6.56 ((~(v181(constB73) | v185(constB73))) | v181(constB73) | v185(constB73)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35788,plain,
% 8.40/6.56 (~(v181(constB73) | v185(constB73))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35787, 35786, 35731])).
% 8.40/6.56 tff(35789,plain,
% 8.40/6.56 ((~(v178(constB73) <=> (v181(constB73) | v185(constB73)))) | (~v178(constB73)) | (v181(constB73) | v185(constB73))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35790,plain,
% 8.40/6.56 (~v178(constB73)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35789, 35788, 35658])).
% 8.40/6.56 tff(35791,plain,
% 8.40/6.56 ((~(v180(constB74) <=> v178(constB73))) | (~v180(constB74)) | v178(constB73)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35792,plain,
% 8.40/6.56 (~v180(constB74)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35791, 35790, 35656])).
% 8.40/6.56 tff(35793,plain,
% 8.40/6.56 ((~(v157(constB74) <=> v180(constB74))) | (~v157(constB74)) | v180(constB74)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35794,plain,
% 8.40/6.56 (~v157(constB74)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35793, 35792, 35652])).
% 8.40/6.56 tff(35795,plain,
% 8.40/6.56 (((~v157(constB74)) | (~v182(constB74))) | v157(constB74)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35796,plain,
% 8.40/6.56 ((~v157(constB74)) | (~v182(constB74))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35795, 35794])).
% 8.40/6.56 tff(35797,plain,
% 8.40/6.56 ((~(v181(constB74) <=> (~((~v157(constB74)) | (~v182(constB74)))))) | (~v181(constB74)) | (~((~v157(constB74)) | (~v182(constB74))))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35798,plain,
% 8.40/6.56 (~v181(constB74)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35797, 35796, 35650])).
% 8.40/6.56 tff(35799,plain,
% 8.40/6.56 ((~(v181(constB74) | v185(constB74))) | v181(constB74) | v185(constB74)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35800,plain,
% 8.40/6.56 (~(v181(constB74) | v185(constB74))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35799, 35798, 35643])).
% 8.40/6.56 tff(35801,plain,
% 8.40/6.56 ((~(v178(constB74) <=> (v181(constB74) | v185(constB74)))) | (~v178(constB74)) | (v181(constB74) | v185(constB74))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35802,plain,
% 8.40/6.56 (~v178(constB74)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35801, 35800, 35618])).
% 8.40/6.56 tff(35803,plain,
% 8.40/6.56 ((~(v180(constB75) <=> v178(constB74))) | (~v180(constB75)) | v178(constB74)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35804,plain,
% 8.40/6.56 (~v180(constB75)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35803, 35802, 35616])).
% 8.40/6.56 tff(35805,plain,
% 8.40/6.56 ($false),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35804, 35612])).
% 8.40/6.56 tff(35806,plain,(~(constB75 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.56 tff(35807,assumption,(constB131 = VarCurr!0), introduced(assumption)).
% 8.40/6.56 tff(35808,plain,
% 8.40/6.56 (v180(constB131) <=> v180(VarCurr!0)),
% 8.40/6.56 inference(monotonicity,[status(thm)],[35807])).
% 8.40/6.56 tff(35809,plain,
% 8.40/6.56 (v180(VarCurr!0) <=> v180(constB131)),
% 8.40/6.56 inference(symmetry,[status(thm)],[35808])).
% 8.40/6.56 tff(35810,plain,
% 8.40/6.56 (v180(constB131)),
% 8.40/6.56 inference(modus_ponens,[status(thm)],[59, 35809])).
% 8.40/6.56 tff(35811,plain,
% 8.40/6.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB130, constB131)) | (v180(constB131) <=> v178(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB130, constB131)) | (v180(constB131) <=> v178(constB130)))),
% 8.40/6.56 inference(rewrite,[status(thm)],[])).
% 8.40/6.56 tff(35812,plain,
% 8.40/6.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB130, constB131)) | (v180(constB131) <=> v178(constB130)))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35813,plain,
% 8.40/6.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB130, constB131)) | (v180(constB131) <=> v178(constB130))),
% 8.40/6.56 inference(modus_ponens,[status(thm)],[35812, 35811])).
% 8.40/6.56 tff(35814,plain,
% 8.40/6.56 (v180(constB131) <=> v178(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35813, 14179, 70])).
% 8.40/6.56 tff(35815,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB130) <=> (v181(constB130) | v185(constB130)))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35816,plain,
% 8.40/6.56 (v178(constB130) <=> (v181(constB130) | v185(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35815, 84])).
% 8.40/6.56 tff(35817,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB130) <=> (~((~v186(constB130)) | (~v187(constB130)))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35818,plain,
% 8.40/6.56 (v185(constB130) <=> (~((~v186(constB130)) | (~v187(constB130))))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35817, 96])).
% 8.40/6.56 tff(35819,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB130) <=> (~((~v184(constB130)) | (~v159(constB130)))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35820,plain,
% 8.40/6.56 (v187(constB130) <=> (~((~v184(constB130)) | (~v159(constB130))))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35819, 108])).
% 8.40/6.56 tff(35821,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35822,plain,
% 8.40/6.56 (v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130))))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35821, 120])).
% 8.40/6.56 tff(35823,plain,
% 8.40/6.56 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB130)) <=> v1(constB130))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35824,plain,
% 8.40/6.56 ((~v39(constB130)) <=> v1(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35823, 129])).
% 8.40/6.56 tff(35825,plain,
% 8.40/6.56 ((~((~v39(constB130)) <=> v1(constB130))) | (~v39(constB130)) | (~v1(constB130))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35826,plain,
% 8.40/6.56 ((~((~v39(constB130)) <=> v1(constB130))) | (~v39(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35825, 17129])).
% 8.40/6.56 tff(35827,plain,
% 8.40/6.56 (~v39(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35826, 35824])).
% 8.40/6.56 tff(35828,plain,
% 8.40/6.56 (((~v39(constB130)) | (~v9(constB130))) | v39(constB130)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35829,plain,
% 8.40/6.56 ((~v39(constB130)) | (~v9(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35828, 35827])).
% 8.40/6.56 tff(35830,plain,
% 8.40/6.56 ((~(v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))) | (~v184(constB130)) | (~((~v39(constB130)) | (~v9(constB130))))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35831,plain,
% 8.40/6.56 ((~(v184(constB130) <=> (~((~v39(constB130)) | (~v9(constB130)))))) | (~v184(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35830, 35829])).
% 8.40/6.56 tff(35832,plain,
% 8.40/6.56 (~v184(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35831, 35822])).
% 8.40/6.56 tff(35833,plain,
% 8.40/6.56 (((~v184(constB130)) | (~v159(constB130))) | v184(constB130)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35834,plain,
% 8.40/6.56 ((~v184(constB130)) | (~v159(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35833, 35832])).
% 8.40/6.56 tff(35835,plain,
% 8.40/6.56 ((~(v187(constB130) <=> (~((~v184(constB130)) | (~v159(constB130)))))) | (~v187(constB130)) | (~((~v184(constB130)) | (~v159(constB130))))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35836,plain,
% 8.40/6.56 ((~(v187(constB130) <=> (~((~v184(constB130)) | (~v159(constB130)))))) | (~v187(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35835, 35834])).
% 8.40/6.56 tff(35837,plain,
% 8.40/6.56 (~v187(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35836, 35820])).
% 8.40/6.56 tff(35838,plain,
% 8.40/6.56 (((~v186(constB130)) | (~v187(constB130))) | v187(constB130)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35839,plain,
% 8.40/6.56 ((~v186(constB130)) | (~v187(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35838, 35837])).
% 8.40/6.56 tff(35840,plain,
% 8.40/6.56 ((~(v185(constB130) <=> (~((~v186(constB130)) | (~v187(constB130)))))) | (~v185(constB130)) | (~((~v186(constB130)) | (~v187(constB130))))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35841,plain,
% 8.40/6.56 (~v185(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35840, 35839, 35818])).
% 8.40/6.56 tff(35842,plain,
% 8.40/6.56 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130))))))),
% 8.40/6.56 inference(rewrite,[status(thm)],[])).
% 8.40/6.56 tff(35843,plain,
% 8.40/6.56 ((v181(constB130) <=> (~((~v182(constB130)) | (~v157(constB130))))) <=> (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130)))))),
% 8.40/6.56 inference(rewrite,[status(thm)],[])).
% 8.40/6.56 tff(35844,plain,
% 8.40/6.56 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v182(constB130)) | (~v157(constB130)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130))))))),
% 8.40/6.56 inference(monotonicity,[status(thm)],[35843])).
% 8.40/6.56 tff(35845,plain,
% 8.40/6.56 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v182(constB130)) | (~v157(constB130)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130))))))),
% 8.40/6.56 inference(transitivity,[status(thm)],[35844, 35842])).
% 8.40/6.56 tff(35846,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v182(constB130)) | (~v157(constB130)))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35847,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130)))))),
% 8.40/6.56 inference(modus_ponens,[status(thm)],[35846, 35845])).
% 8.40/6.56 tff(35848,plain,
% 8.40/6.56 (v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130))))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35847, 161])).
% 8.40/6.56 tff(35849,plain,
% 8.40/6.56 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB130) <=> v180(constB130))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35850,plain,
% 8.40/6.56 (v157(constB130) <=> v180(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35849, 13])).
% 8.40/6.56 tff(35851,plain,
% 8.40/6.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB129, constB130)) | (v180(constB130) <=> v178(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB129, constB130)) | (v180(constB130) <=> v178(constB129)))),
% 8.40/6.56 inference(rewrite,[status(thm)],[])).
% 8.40/6.56 tff(35852,plain,
% 8.40/6.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB129, constB130)) | (v180(constB130) <=> v178(constB129)))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35853,plain,
% 8.40/6.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB129, constB130)) | (v180(constB130) <=> v178(constB129))),
% 8.40/6.56 inference(modus_ponens,[status(thm)],[35852, 35851])).
% 8.40/6.56 tff(35854,plain,
% 8.40/6.56 (v180(constB130) <=> v178(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35853, 14215, 70])).
% 8.40/6.56 tff(35855,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB129) <=> (v181(constB129) | v185(constB129)))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35856,plain,
% 8.40/6.56 (v178(constB129) <=> (v181(constB129) | v185(constB129))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35855, 84])).
% 8.40/6.56 tff(35857,plain,
% 8.40/6.56 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129))))))),
% 8.40/6.56 inference(rewrite,[status(thm)],[])).
% 8.40/6.56 tff(35858,plain,
% 8.40/6.56 ((v181(constB129) <=> (~((~v182(constB129)) | (~v157(constB129))))) <=> (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129)))))),
% 8.40/6.56 inference(rewrite,[status(thm)],[])).
% 8.40/6.56 tff(35859,plain,
% 8.40/6.56 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v182(constB129)) | (~v157(constB129)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129))))))),
% 8.40/6.56 inference(monotonicity,[status(thm)],[35858])).
% 8.40/6.56 tff(35860,plain,
% 8.40/6.56 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v182(constB129)) | (~v157(constB129)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129))))))),
% 8.40/6.56 inference(transitivity,[status(thm)],[35859, 35857])).
% 8.40/6.56 tff(35861,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v182(constB129)) | (~v157(constB129)))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35862,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129)))))),
% 8.40/6.56 inference(modus_ponens,[status(thm)],[35861, 35860])).
% 8.40/6.56 tff(35863,plain,
% 8.40/6.56 (v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129))))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35862, 161])).
% 8.40/6.56 tff(35864,plain,
% 8.40/6.56 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB129)) <=> v183(constB129))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35865,plain,
% 8.40/6.56 ((~v182(constB129)) <=> v183(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35864, 193])).
% 8.40/6.56 tff(35866,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB129) <=> (v184(constB129) | v26(constB129)))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35867,plain,
% 8.40/6.56 (v183(constB129) <=> (v184(constB129) | v26(constB129))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35866, 202])).
% 8.40/6.56 tff(35868,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB129) <=> (~((~v39(constB129)) | (~v9(constB129)))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35869,plain,
% 8.40/6.56 (v184(constB129) <=> (~((~v39(constB129)) | (~v9(constB129))))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35868, 120])).
% 8.40/6.56 tff(35870,plain,
% 8.40/6.56 (((~![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)))),
% 8.40/6.56 inference(rewrite,[status(thm)],[])).
% 8.40/6.56 tff(35871,plain,
% 8.40/6.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB129, constB130)) | (v13(constB130) <=> v9(constB129)))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35872,plain,
% 8.40/6.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB129, constB130)) | (v13(constB130) <=> v9(constB129))),
% 8.40/6.56 inference(modus_ponens,[status(thm)],[35871, 35870])).
% 8.40/6.56 tff(35873,plain,
% 8.40/6.56 (v13(constB130) <=> v9(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35872, 14215, 216])).
% 8.40/6.56 tff(35874,plain,
% 8.40/6.56 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB130) <=> v13(constB130))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35875,plain,
% 8.40/6.56 (v6(constB130) <=> v13(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35874, 230])).
% 8.40/6.56 tff(35876,plain,
% 8.40/6.56 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB130)) <=> v6(constB130))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35877,plain,
% 8.40/6.56 ((~v21(constB130)) <=> v6(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35876, 239])).
% 8.40/6.56 tff(35878,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB130) <=> (v20(constB130) | v21(constB130)))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35879,plain,
% 8.40/6.56 (v19(constB130) <=> (v20(constB130) | v21(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35878, 248])).
% 8.40/6.56 tff(35880,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB130) <=> (~((~v19(constB130)) | (~v22(constB130)))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35881,plain,
% 8.40/6.56 (v18(constB130) <=> (~((~v19(constB130)) | (~v22(constB130))))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35880, 260])).
% 8.40/6.56 tff(35882,plain,
% 8.40/6.56 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB130)) <=> v18(constB130))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35883,plain,
% 8.40/6.56 ((~v4(constB130)) <=> v18(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35882, 269])).
% 8.40/6.56 tff(35884,plain,
% 8.40/6.56 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB130)),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35885,plain,
% 8.40/6.56 (v4(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35884, 278])).
% 8.40/6.56 tff(35886,plain,
% 8.40/6.56 ((~((~v4(constB130)) <=> v18(constB130))) | (~v4(constB130)) | (~v18(constB130))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35887,plain,
% 8.40/6.56 (~v18(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35886, 35885, 35883])).
% 8.40/6.56 tff(35888,plain,
% 8.40/6.56 ((~(v18(constB130) <=> (~((~v19(constB130)) | (~v22(constB130)))))) | v18(constB130) | ((~v19(constB130)) | (~v22(constB130)))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35889,plain,
% 8.40/6.56 ((~v19(constB130)) | (~v22(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35888, 35887, 35881])).
% 8.40/6.56 tff(35890,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB130) <=> (v1(constB130) | v6(constB130)))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35891,plain,
% 8.40/6.56 (v22(constB130) <=> (v1(constB130) | v6(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35890, 291])).
% 8.40/6.56 tff(35892,plain,
% 8.40/6.56 ((v1(constB130) | v6(constB130)) | (~v1(constB130))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35893,plain,
% 8.40/6.56 (v1(constB130) | v6(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35892, 17129])).
% 8.40/6.56 tff(35894,plain,
% 8.40/6.56 ((~(v22(constB130) <=> (v1(constB130) | v6(constB130)))) | v22(constB130) | (~(v1(constB130) | v6(constB130)))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35895,plain,
% 8.40/6.56 ((~(v22(constB130) <=> (v1(constB130) | v6(constB130)))) | v22(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35894, 35893])).
% 8.40/6.56 tff(35896,plain,
% 8.40/6.56 (v22(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35895, 35891])).
% 8.40/6.56 tff(35897,plain,
% 8.40/6.56 ((~((~v19(constB130)) | (~v22(constB130)))) | (~v19(constB130)) | (~v22(constB130))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35898,plain,
% 8.40/6.56 ((~((~v19(constB130)) | (~v22(constB130)))) | (~v19(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35897, 35896])).
% 8.40/6.56 tff(35899,plain,
% 8.40/6.56 (~v19(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35898, 35889])).
% 8.40/6.56 tff(35900,plain,
% 8.40/6.56 ((~(v19(constB130) <=> (v20(constB130) | v21(constB130)))) | v19(constB130) | (~(v20(constB130) | v21(constB130)))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35901,plain,
% 8.40/6.56 (~(v20(constB130) | v21(constB130))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35900, 35899, 35879])).
% 8.40/6.56 tff(35902,plain,
% 8.40/6.56 ((v20(constB130) | v21(constB130)) | (~v21(constB130))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35903,plain,
% 8.40/6.56 (~v21(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35902, 35901])).
% 8.40/6.56 tff(35904,plain,
% 8.40/6.56 ((~((~v21(constB130)) <=> v6(constB130))) | v21(constB130) | v6(constB130)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35905,plain,
% 8.40/6.56 (v6(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35904, 35903, 35877])).
% 8.40/6.56 tff(35906,plain,
% 8.40/6.56 ((~(v6(constB130) <=> v13(constB130))) | (~v6(constB130)) | v13(constB130)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35907,plain,
% 8.40/6.56 (v13(constB130)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35906, 35905, 35875])).
% 8.40/6.56 tff(35908,plain,
% 8.40/6.56 ((~(v13(constB130) <=> v9(constB129))) | (~v13(constB130)) | v9(constB129)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35909,plain,
% 8.40/6.56 (v9(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35908, 35907, 35873])).
% 8.40/6.56 tff(35910,plain,
% 8.40/6.56 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB129)) <=> v1(constB129))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35911,plain,
% 8.40/6.56 ((~v39(constB129)) <=> v1(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35910, 129])).
% 8.40/6.56 tff(35912,plain,
% 8.40/6.56 ((~((~v39(constB129)) <=> v1(constB129))) | v39(constB129) | v1(constB129)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35913,plain,
% 8.40/6.56 ((~((~v39(constB129)) <=> v1(constB129))) | v39(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35912, 14259])).
% 8.40/6.56 tff(35914,plain,
% 8.40/6.56 (v39(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35913, 35911])).
% 8.40/6.56 tff(35915,plain,
% 8.40/6.56 ((~((~v39(constB129)) | (~v9(constB129)))) | (~v39(constB129)) | (~v9(constB129))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35916,plain,
% 8.40/6.56 ((~((~v39(constB129)) | (~v9(constB129)))) | (~v9(constB129))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35915, 35914])).
% 8.40/6.56 tff(35917,plain,
% 8.40/6.56 (~((~v39(constB129)) | (~v9(constB129)))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35916, 35909])).
% 8.40/6.56 tff(35918,plain,
% 8.40/6.56 ((~(v184(constB129) <=> (~((~v39(constB129)) | (~v9(constB129)))))) | v184(constB129) | ((~v39(constB129)) | (~v9(constB129)))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35919,plain,
% 8.40/6.56 (v184(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35918, 35917, 35869])).
% 8.40/6.56 tff(35920,plain,
% 8.40/6.56 ((v184(constB129) | v26(constB129)) | (~v184(constB129))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35921,plain,
% 8.40/6.56 (v184(constB129) | v26(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35920, 35919])).
% 8.40/6.56 tff(35922,plain,
% 8.40/6.56 ((~(v183(constB129) <=> (v184(constB129) | v26(constB129)))) | v183(constB129) | (~(v184(constB129) | v26(constB129)))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35923,plain,
% 8.40/6.56 (v183(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35922, 35921, 35867])).
% 8.40/6.56 tff(35924,plain,
% 8.40/6.56 ((~((~v182(constB129)) <=> v183(constB129))) | (~v182(constB129)) | (~v183(constB129))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35925,plain,
% 8.40/6.56 (~v182(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35924, 35923, 35865])).
% 8.40/6.56 tff(35926,plain,
% 8.40/6.56 (((~v157(constB129)) | (~v182(constB129))) | v182(constB129)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35927,plain,
% 8.40/6.56 ((~v157(constB129)) | (~v182(constB129))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35926, 35925])).
% 8.40/6.56 tff(35928,plain,
% 8.40/6.56 ((~(v181(constB129) <=> (~((~v157(constB129)) | (~v182(constB129)))))) | (~v181(constB129)) | (~((~v157(constB129)) | (~v182(constB129))))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35929,plain,
% 8.40/6.56 (~v181(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35928, 35927, 35863])).
% 8.40/6.56 tff(35930,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB129) <=> (~((~v186(constB129)) | (~v187(constB129)))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35931,plain,
% 8.40/6.56 (v185(constB129) <=> (~((~v186(constB129)) | (~v187(constB129))))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35930, 96])).
% 8.40/6.56 tff(35932,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB129) <=> (~((~v184(constB129)) | (~v159(constB129)))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35933,plain,
% 8.40/6.56 (v187(constB129) <=> (~((~v184(constB129)) | (~v159(constB129))))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35932, 108])).
% 8.40/6.56 tff(35934,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB129) <=> v161(constB129))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35935,plain,
% 8.40/6.56 (v159(constB129) <=> v161(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35934, 345])).
% 8.40/6.56 tff(35936,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB129) <=> (v145(constB129) | v165(constB129)))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35937,plain,
% 8.40/6.56 (v164(constB129) <=> (v145(constB129) | v165(constB129))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35936, 357])).
% 8.40/6.56 tff(35938,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB129) <=> (v146(constB129) | v147(constB129)))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35939,plain,
% 8.40/6.56 (v145(constB129) <=> (v146(constB129) | v147(constB129))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35938, 24729])).
% 8.40/6.56 tff(35940,plain,
% 8.40/6.56 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0)))))),
% 8.40/6.56 inference(rewrite,[status(thm)],[])).
% 8.40/6.56 tff(35941,plain,
% 8.40/6.56 ((v146(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2))))) <=> (v146(constB129) <=> (~(v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0))))),
% 8.40/6.56 inference(rewrite,[status(thm)],[])).
% 8.40/6.56 tff(35942,plain,
% 8.40/6.56 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0)))))),
% 8.40/6.56 inference(monotonicity,[status(thm)],[35941])).
% 8.40/6.56 tff(35943,plain,
% 8.40/6.56 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0)))))),
% 8.40/6.56 inference(transitivity,[status(thm)],[35942, 35940])).
% 8.40/6.56 tff(35944,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35945,plain,
% 8.40/6.56 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB129) <=> (~(v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0))))),
% 8.40/6.56 inference(modus_ponens,[status(thm)],[35944, 35943])).
% 8.40/6.56 tff(35946,plain,
% 8.40/6.56 (v146(constB129) <=> (~(v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0)))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35945, 24744])).
% 8.40/6.56 tff(35947,plain,
% 8.40/6.56 ((~![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))))),
% 8.40/6.56 inference(quant_inst,[status(thm)],[])).
% 8.40/6.56 tff(35948,plain,
% 8.40/6.56 (~(((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)) | ((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)) | ((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0)))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35947, 416])).
% 8.40/6.56 tff(35949,plain,
% 8.40/6.56 ((((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)) | ((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)) | ((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0))) | (~((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35950,plain,
% 8.40/6.56 (~((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35949, 35948])).
% 8.40/6.56 tff(35951,plain,
% 8.40/6.56 (((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)) | v88(constB129, bitIndex2) | (~v90(constB129, bitIndex2))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35952,plain,
% 8.40/6.56 (v88(constB129, bitIndex2)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35951, 17051, 35950])).
% 8.40/6.56 tff(35953,plain,
% 8.40/6.56 ((((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)) | ((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)) | ((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0))) | (~((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0)))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35954,plain,
% 8.40/6.56 (~((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35953, 35948])).
% 8.40/6.56 tff(35955,plain,
% 8.40/6.56 (((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0)) | (~v88(constB129, bitIndex0)) | v90(constB129, bitIndex0)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35956,plain,
% 8.40/6.56 (~v88(constB129, bitIndex0)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35955, 17069, 35954])).
% 8.40/6.56 tff(35957,plain,
% 8.40/6.56 ((((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)) | ((~v88(constB129, bitIndex2)) <=> v90(constB129, bitIndex2)) | ((~v88(constB129, bitIndex0)) <=> v90(constB129, bitIndex0))) | (~((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35958,plain,
% 8.40/6.56 (~((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35957, 35948])).
% 8.40/6.56 tff(35959,plain,
% 8.40/6.56 (((~v88(constB129, bitIndex1)) <=> v90(constB129, bitIndex1)) | (~v88(constB129, bitIndex1)) | v90(constB129, bitIndex1)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35960,plain,
% 8.40/6.56 (~v88(constB129, bitIndex1)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35959, 17087, 35958])).
% 8.40/6.56 tff(35961,plain,
% 8.40/6.56 ((~(v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0))) | v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0)),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35962,plain,
% 8.40/6.56 (~(v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0))),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35961, 35960, 35956, 35952])).
% 8.40/6.56 tff(35963,plain,
% 8.40/6.56 ((~(v146(constB129) <=> (~(v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0))))) | v146(constB129) | (v88(constB129, bitIndex1) | (~v88(constB129, bitIndex2)) | v88(constB129, bitIndex0))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35964,plain,
% 8.40/6.56 (v146(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35963, 35962, 35946])).
% 8.40/6.56 tff(35965,plain,
% 8.40/6.56 ((v146(constB129) | v147(constB129)) | (~v146(constB129))),
% 8.40/6.56 inference(tautology,[status(thm)],[])).
% 8.40/6.56 tff(35966,plain,
% 8.40/6.56 (v146(constB129) | v147(constB129)),
% 8.40/6.56 inference(unit_resolution,[status(thm)],[35965, 35964])).
% 8.40/6.56 tff(35967,plain,
% 8.40/6.57 ((~(v145(constB129) <=> (v146(constB129) | v147(constB129)))) | v145(constB129) | (~(v146(constB129) | v147(constB129)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(35968,plain,
% 8.40/6.57 (v145(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35967, 35966, 35939])).
% 8.40/6.57 tff(35969,plain,
% 8.40/6.57 ((v145(constB129) | v165(constB129)) | (~v145(constB129))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(35970,plain,
% 8.40/6.57 (v145(constB129) | v165(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35969, 35968])).
% 8.40/6.57 tff(35971,plain,
% 8.40/6.57 ((~(v164(constB129) <=> (v145(constB129) | v165(constB129)))) | v164(constB129) | (~(v145(constB129) | v165(constB129)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(35972,plain,
% 8.40/6.57 ((~(v164(constB129) <=> (v145(constB129) | v165(constB129)))) | v164(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35971, 35970])).
% 8.40/6.57 tff(35973,plain,
% 8.40/6.57 (v164(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35972, 35937])).
% 8.40/6.57 tff(35974,plain,
% 8.40/6.57 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB129)) | (v161(constB129) <=> v168(constB129)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB129)) | (v161(constB129) <=> v168(constB129)))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(35975,plain,
% 8.40/6.57 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB129)) | (v161(constB129) <=> v168(constB129)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(35976,plain,
% 8.40/6.57 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB129)) | (v161(constB129) <=> v168(constB129))),
% 8.40/6.57 inference(modus_ponens,[status(thm)],[35975, 35974])).
% 8.40/6.57 tff(35977,plain,
% 8.40/6.57 ((~v164(constB129)) | (v161(constB129) <=> v168(constB129))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35976, 12128])).
% 8.40/6.57 tff(35978,plain,
% 8.40/6.57 (v161(constB129) <=> v168(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35977, 35973])).
% 8.40/6.57 tff(35979,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(35980,plain,
% 8.40/6.57 (v139(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35979, 12146])).
% 8.40/6.57 tff(35981,plain,
% 8.40/6.57 ((v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)) | (~v88(constB129, bitIndex2))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(35982,plain,
% 8.40/6.57 (v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35981, 35952])).
% 8.40/6.57 tff(35983,plain,
% 8.40/6.57 ((~(v139(constB129) <=> (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2))))) | (~v139(constB129)) | (~(v88(constB129, bitIndex0) | v88(constB129, bitIndex1) | v88(constB129, bitIndex2)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(35984,plain,
% 8.40/6.57 (~v139(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35983, 35982, 35980])).
% 8.40/6.57 tff(35985,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB129) <=> (~(v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0)))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(35986,plain,
% 8.40/6.57 (v140(constB129) <=> (~(v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0))))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35985, 12165])).
% 8.40/6.57 tff(35987,plain,
% 8.40/6.57 ((v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0))) | (~v88(constB129, bitIndex2))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(35988,plain,
% 8.40/6.57 (v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35987, 35952])).
% 8.40/6.57 tff(35989,plain,
% 8.40/6.57 ((~(v140(constB129) <=> (~(v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0)))))) | (~v140(constB129)) | (~(v88(constB129, bitIndex1) | v88(constB129, bitIndex2) | (~v88(constB129, bitIndex0))))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(35990,plain,
% 8.40/6.57 (~v140(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35989, 35988, 35986])).
% 8.40/6.57 tff(35991,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB129) | v140(constB129) | (~v168(constB129)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB129) | v140(constB129) | (~v168(constB129)))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(35992,plain,
% 8.40/6.57 ((v140(constB129) | v139(constB129) | (~v168(constB129))) <=> (v139(constB129) | v140(constB129) | (~v168(constB129)))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(35993,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB129) | v139(constB129) | (~v168(constB129)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB129) | v140(constB129) | (~v168(constB129))))),
% 8.40/6.57 inference(monotonicity,[status(thm)],[35992])).
% 8.40/6.57 tff(35994,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB129) | v139(constB129) | (~v168(constB129)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB129) | v140(constB129) | (~v168(constB129)))),
% 8.40/6.57 inference(transitivity,[status(thm)],[35993, 35991])).
% 8.40/6.57 tff(35995,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB129) | v139(constB129) | (~v168(constB129)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(35996,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB129) | v140(constB129) | (~v168(constB129))),
% 8.40/6.57 inference(modus_ponens,[status(thm)],[35995, 35994])).
% 8.40/6.57 tff(35997,plain,
% 8.40/6.57 (v139(constB129) | v140(constB129) | (~v168(constB129))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35996, 12184])).
% 8.40/6.57 tff(35998,plain,
% 8.40/6.57 (~v168(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35997, 35990, 35984])).
% 8.40/6.57 tff(35999,plain,
% 8.40/6.57 ((~(v161(constB129) <=> v168(constB129))) | (~v161(constB129)) | v168(constB129)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36000,plain,
% 8.40/6.57 ((~(v161(constB129) <=> v168(constB129))) | (~v161(constB129))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[35999, 35998])).
% 8.40/6.57 tff(36001,plain,
% 8.40/6.57 (~v161(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36000, 35978])).
% 8.40/6.57 tff(36002,plain,
% 8.40/6.57 ((~(v159(constB129) <=> v161(constB129))) | (~v159(constB129)) | v161(constB129)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36003,plain,
% 8.40/6.57 ((~(v159(constB129) <=> v161(constB129))) | (~v159(constB129))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36002, 36001])).
% 8.40/6.57 tff(36004,plain,
% 8.40/6.57 (~v159(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36003, 35935])).
% 8.40/6.57 tff(36005,plain,
% 8.40/6.57 (((~v184(constB129)) | (~v159(constB129))) | v159(constB129)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36006,plain,
% 8.40/6.57 ((~v184(constB129)) | (~v159(constB129))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36005, 36004])).
% 8.40/6.57 tff(36007,plain,
% 8.40/6.57 ((~(v187(constB129) <=> (~((~v184(constB129)) | (~v159(constB129)))))) | (~v187(constB129)) | (~((~v184(constB129)) | (~v159(constB129))))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36008,plain,
% 8.40/6.57 (~v187(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36007, 36006, 35933])).
% 8.40/6.57 tff(36009,plain,
% 8.40/6.57 (((~v186(constB129)) | (~v187(constB129))) | v187(constB129)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36010,plain,
% 8.40/6.57 ((~v186(constB129)) | (~v187(constB129))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36009, 36008])).
% 8.40/6.57 tff(36011,plain,
% 8.40/6.57 ((~(v185(constB129) <=> (~((~v186(constB129)) | (~v187(constB129)))))) | (~v185(constB129)) | (~((~v186(constB129)) | (~v187(constB129))))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36012,plain,
% 8.40/6.57 (~v185(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36011, 36010, 35931])).
% 8.40/6.57 tff(36013,plain,
% 8.40/6.57 ((~(v181(constB129) | v185(constB129))) | v181(constB129) | v185(constB129)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36014,plain,
% 8.40/6.57 (~(v181(constB129) | v185(constB129))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36013, 36012, 35929])).
% 8.40/6.57 tff(36015,plain,
% 8.40/6.57 ((~(v178(constB129) <=> (v181(constB129) | v185(constB129)))) | (~v178(constB129)) | (v181(constB129) | v185(constB129))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36016,plain,
% 8.40/6.57 (~v178(constB129)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36015, 36014, 35856])).
% 8.40/6.57 tff(36017,plain,
% 8.40/6.57 ((~(v180(constB130) <=> v178(constB129))) | (~v180(constB130)) | v178(constB129)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36018,plain,
% 8.40/6.57 (~v180(constB130)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36017, 36016, 35854])).
% 8.40/6.57 tff(36019,plain,
% 8.40/6.57 ((~(v157(constB130) <=> v180(constB130))) | (~v157(constB130)) | v180(constB130)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36020,plain,
% 8.40/6.57 (~v157(constB130)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36019, 36018, 35850])).
% 8.40/6.57 tff(36021,plain,
% 8.40/6.57 (((~v157(constB130)) | (~v182(constB130))) | v157(constB130)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36022,plain,
% 8.40/6.57 ((~v157(constB130)) | (~v182(constB130))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36021, 36020])).
% 8.40/6.57 tff(36023,plain,
% 8.40/6.57 ((~(v181(constB130) <=> (~((~v157(constB130)) | (~v182(constB130)))))) | (~v181(constB130)) | (~((~v157(constB130)) | (~v182(constB130))))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36024,plain,
% 8.40/6.57 (~v181(constB130)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36023, 36022, 35848])).
% 8.40/6.57 tff(36025,plain,
% 8.40/6.57 ((~(v181(constB130) | v185(constB130))) | v181(constB130) | v185(constB130)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36026,plain,
% 8.40/6.57 (~(v181(constB130) | v185(constB130))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36025, 36024, 35841])).
% 8.40/6.57 tff(36027,plain,
% 8.40/6.57 ((~(v178(constB130) <=> (v181(constB130) | v185(constB130)))) | (~v178(constB130)) | (v181(constB130) | v185(constB130))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36028,plain,
% 8.40/6.57 (~v178(constB130)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36027, 36026, 35816])).
% 8.40/6.57 tff(36029,plain,
% 8.40/6.57 ((~(v180(constB131) <=> v178(constB130))) | (~v180(constB131)) | v178(constB130)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36030,plain,
% 8.40/6.57 (~v180(constB131)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36029, 36028, 35814])).
% 8.40/6.57 tff(36031,plain,
% 8.40/6.57 ($false),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36030, 35810])).
% 8.40/6.57 tff(36032,plain,(~(constB131 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.57 tff(36033,assumption,(constB155 = VarCurr!0), introduced(assumption)).
% 8.40/6.57 tff(36034,plain,
% 8.40/6.57 (v180(constB155) <=> v180(VarCurr!0)),
% 8.40/6.57 inference(monotonicity,[status(thm)],[36033])).
% 8.40/6.57 tff(36035,plain,
% 8.40/6.57 (v180(VarCurr!0) <=> v180(constB155)),
% 8.40/6.57 inference(symmetry,[status(thm)],[36034])).
% 8.40/6.57 tff(36036,plain,
% 8.40/6.57 (v180(constB155)),
% 8.40/6.57 inference(modus_ponens,[status(thm)],[59, 36035])).
% 8.40/6.57 tff(36037,plain,
% 8.40/6.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB154, constB155)) | (v180(constB155) <=> v178(constB154)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB154, constB155)) | (v180(constB155) <=> v178(constB154)))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(36038,plain,
% 8.40/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB154, constB155)) | (v180(constB155) <=> v178(constB154)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36039,plain,
% 8.40/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB154, constB155)) | (v180(constB155) <=> v178(constB154))),
% 8.40/6.57 inference(modus_ponens,[status(thm)],[36038, 36037])).
% 8.40/6.57 tff(36040,plain,
% 8.40/6.57 (v180(constB155) <=> v178(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36039, 13407, 70])).
% 8.40/6.57 tff(36041,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB154) <=> (v181(constB154) | v185(constB154)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36042,plain,
% 8.40/6.57 (v178(constB154) <=> (v181(constB154) | v185(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36041, 84])).
% 8.40/6.57 tff(36043,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB154) <=> (~((~v186(constB154)) | (~v187(constB154)))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36044,plain,
% 8.40/6.57 (v185(constB154) <=> (~((~v186(constB154)) | (~v187(constB154))))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36043, 96])).
% 8.40/6.57 tff(36045,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB154) <=> (~((~v184(constB154)) | (~v159(constB154)))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36046,plain,
% 8.40/6.57 (v187(constB154) <=> (~((~v184(constB154)) | (~v159(constB154))))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36045, 108])).
% 8.40/6.57 tff(36047,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36048,plain,
% 8.40/6.57 (v184(constB154) <=> (~((~v39(constB154)) | (~v9(constB154))))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36047, 120])).
% 8.40/6.57 tff(36049,plain,
% 8.40/6.57 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB154)) <=> v1(constB154))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36050,plain,
% 8.40/6.57 ((~v39(constB154)) <=> v1(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36049, 129])).
% 8.40/6.57 tff(36051,plain,
% 8.40/6.57 ((~((~v39(constB154)) <=> v1(constB154))) | (~v39(constB154)) | (~v1(constB154))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36052,plain,
% 8.40/6.57 ((~((~v39(constB154)) <=> v1(constB154))) | (~v39(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36051, 18999])).
% 8.40/6.57 tff(36053,plain,
% 8.40/6.57 (~v39(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36052, 36050])).
% 8.40/6.57 tff(36054,plain,
% 8.40/6.57 (((~v39(constB154)) | (~v9(constB154))) | v39(constB154)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36055,plain,
% 8.40/6.57 ((~v39(constB154)) | (~v9(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36054, 36053])).
% 8.40/6.57 tff(36056,plain,
% 8.40/6.57 ((~(v184(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))) | (~v184(constB154)) | (~((~v39(constB154)) | (~v9(constB154))))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36057,plain,
% 8.40/6.57 ((~(v184(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))) | (~v184(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36056, 36055])).
% 8.40/6.57 tff(36058,plain,
% 8.40/6.57 (~v184(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36057, 36048])).
% 8.40/6.57 tff(36059,plain,
% 8.40/6.57 (((~v184(constB154)) | (~v159(constB154))) | v184(constB154)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36060,plain,
% 8.40/6.57 ((~v184(constB154)) | (~v159(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36059, 36058])).
% 8.40/6.57 tff(36061,plain,
% 8.40/6.57 ((~(v187(constB154) <=> (~((~v184(constB154)) | (~v159(constB154)))))) | (~v187(constB154)) | (~((~v184(constB154)) | (~v159(constB154))))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36062,plain,
% 8.40/6.57 ((~(v187(constB154) <=> (~((~v184(constB154)) | (~v159(constB154)))))) | (~v187(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36061, 36060])).
% 8.40/6.57 tff(36063,plain,
% 8.40/6.57 (~v187(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36062, 36046])).
% 8.40/6.57 tff(36064,plain,
% 8.40/6.57 (((~v186(constB154)) | (~v187(constB154))) | v187(constB154)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36065,plain,
% 8.40/6.57 ((~v186(constB154)) | (~v187(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36064, 36063])).
% 8.40/6.57 tff(36066,plain,
% 8.40/6.57 ((~(v185(constB154) <=> (~((~v186(constB154)) | (~v187(constB154)))))) | (~v185(constB154)) | (~((~v186(constB154)) | (~v187(constB154))))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36067,plain,
% 8.40/6.57 (~v185(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36066, 36065, 36044])).
% 8.40/6.57 tff(36068,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154))))))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(36069,plain,
% 8.40/6.57 ((v181(constB154) <=> (~((~v182(constB154)) | (~v157(constB154))))) <=> (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154)))))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(36070,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v182(constB154)) | (~v157(constB154)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154))))))),
% 8.40/6.57 inference(monotonicity,[status(thm)],[36069])).
% 8.40/6.57 tff(36071,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v182(constB154)) | (~v157(constB154)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154))))))),
% 8.40/6.57 inference(transitivity,[status(thm)],[36070, 36068])).
% 8.40/6.57 tff(36072,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v182(constB154)) | (~v157(constB154)))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36073,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154)))))),
% 8.40/6.57 inference(modus_ponens,[status(thm)],[36072, 36071])).
% 8.40/6.57 tff(36074,plain,
% 8.40/6.57 (v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154))))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36073, 161])).
% 8.40/6.57 tff(36075,plain,
% 8.40/6.57 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB154) <=> v180(constB154))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36076,plain,
% 8.40/6.57 (v157(constB154) <=> v180(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36075, 13])).
% 8.40/6.57 tff(36077,plain,
% 8.40/6.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB153, constB154)) | (v180(constB154) <=> v178(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB153, constB154)) | (v180(constB154) <=> v178(constB153)))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(36078,plain,
% 8.40/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB153, constB154)) | (v180(constB154) <=> v178(constB153)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36079,plain,
% 8.40/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB153, constB154)) | (v180(constB154) <=> v178(constB153))),
% 8.40/6.57 inference(modus_ponens,[status(thm)],[36078, 36077])).
% 8.40/6.57 tff(36080,plain,
% 8.40/6.57 (v180(constB154) <=> v178(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36079, 13443, 70])).
% 8.40/6.57 tff(36081,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB153) <=> (v181(constB153) | v185(constB153)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36082,plain,
% 8.40/6.57 (v178(constB153) <=> (v181(constB153) | v185(constB153))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36081, 84])).
% 8.40/6.57 tff(36083,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153))))))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(36084,plain,
% 8.40/6.57 ((v181(constB153) <=> (~((~v182(constB153)) | (~v157(constB153))))) <=> (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153)))))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(36085,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v182(constB153)) | (~v157(constB153)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153))))))),
% 8.40/6.57 inference(monotonicity,[status(thm)],[36084])).
% 8.40/6.57 tff(36086,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v182(constB153)) | (~v157(constB153)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153))))))),
% 8.40/6.57 inference(transitivity,[status(thm)],[36085, 36083])).
% 8.40/6.57 tff(36087,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v182(constB153)) | (~v157(constB153)))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36088,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153)))))),
% 8.40/6.57 inference(modus_ponens,[status(thm)],[36087, 36086])).
% 8.40/6.57 tff(36089,plain,
% 8.40/6.57 (v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153))))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36088, 161])).
% 8.40/6.57 tff(36090,plain,
% 8.40/6.57 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB153)) <=> v183(constB153))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36091,plain,
% 8.40/6.57 ((~v182(constB153)) <=> v183(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36090, 193])).
% 8.40/6.57 tff(36092,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB153) <=> (v184(constB153) | v26(constB153)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36093,plain,
% 8.40/6.57 (v183(constB153) <=> (v184(constB153) | v26(constB153))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36092, 202])).
% 8.40/6.57 tff(36094,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB153) <=> (~((~v39(constB153)) | (~v9(constB153)))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36095,plain,
% 8.40/6.57 (v184(constB153) <=> (~((~v39(constB153)) | (~v9(constB153))))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36094, 120])).
% 8.40/6.57 tff(36096,plain,
% 8.40/6.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153)))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(36097,plain,
% 8.40/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36098,plain,
% 8.40/6.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153))),
% 8.40/6.57 inference(modus_ponens,[status(thm)],[36097, 36096])).
% 8.40/6.57 tff(36099,plain,
% 8.40/6.57 (v13(constB154) <=> v9(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36098, 13443, 216])).
% 8.40/6.57 tff(36100,plain,
% 8.40/6.57 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB154) <=> v13(constB154))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36101,plain,
% 8.40/6.57 (v6(constB154) <=> v13(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36100, 230])).
% 8.40/6.57 tff(36102,plain,
% 8.40/6.57 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB154)) <=> v6(constB154))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36103,plain,
% 8.40/6.57 ((~v21(constB154)) <=> v6(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36102, 239])).
% 8.40/6.57 tff(36104,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB154) <=> (v20(constB154) | v21(constB154)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36105,plain,
% 8.40/6.57 (v19(constB154) <=> (v20(constB154) | v21(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36104, 248])).
% 8.40/6.57 tff(36106,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154)))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36107,plain,
% 8.40/6.57 (v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154))))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36106, 260])).
% 8.40/6.57 tff(36108,plain,
% 8.40/6.57 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB154)) <=> v18(constB154))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36109,plain,
% 8.40/6.57 ((~v4(constB154)) <=> v18(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36108, 269])).
% 8.40/6.57 tff(36110,plain,
% 8.40/6.57 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB154)),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36111,plain,
% 8.40/6.57 (v4(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36110, 278])).
% 8.40/6.57 tff(36112,plain,
% 8.40/6.57 ((~((~v4(constB154)) <=> v18(constB154))) | (~v4(constB154)) | (~v18(constB154))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36113,plain,
% 8.40/6.57 (~v18(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36112, 36111, 36109])).
% 8.40/6.57 tff(36114,plain,
% 8.40/6.57 ((~(v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154)))))) | v18(constB154) | ((~v19(constB154)) | (~v22(constB154)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36115,plain,
% 8.40/6.57 ((~v19(constB154)) | (~v22(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36114, 36113, 36107])).
% 8.40/6.57 tff(36116,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB154) <=> (v1(constB154) | v6(constB154)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36117,plain,
% 8.40/6.57 (v22(constB154) <=> (v1(constB154) | v6(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36116, 291])).
% 8.40/6.57 tff(36118,plain,
% 8.40/6.57 ((v1(constB154) | v6(constB154)) | (~v1(constB154))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36119,plain,
% 8.40/6.57 (v1(constB154) | v6(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36118, 18999])).
% 8.40/6.57 tff(36120,plain,
% 8.40/6.57 ((~(v22(constB154) <=> (v1(constB154) | v6(constB154)))) | v22(constB154) | (~(v1(constB154) | v6(constB154)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36121,plain,
% 8.40/6.57 ((~(v22(constB154) <=> (v1(constB154) | v6(constB154)))) | v22(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36120, 36119])).
% 8.40/6.57 tff(36122,plain,
% 8.40/6.57 (v22(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36121, 36117])).
% 8.40/6.57 tff(36123,plain,
% 8.40/6.57 ((~((~v19(constB154)) | (~v22(constB154)))) | (~v19(constB154)) | (~v22(constB154))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36124,plain,
% 8.40/6.57 ((~((~v19(constB154)) | (~v22(constB154)))) | (~v19(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36123, 36122])).
% 8.40/6.57 tff(36125,plain,
% 8.40/6.57 (~v19(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36124, 36115])).
% 8.40/6.57 tff(36126,plain,
% 8.40/6.57 ((~(v19(constB154) <=> (v20(constB154) | v21(constB154)))) | v19(constB154) | (~(v20(constB154) | v21(constB154)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36127,plain,
% 8.40/6.57 (~(v20(constB154) | v21(constB154))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36126, 36125, 36105])).
% 8.40/6.57 tff(36128,plain,
% 8.40/6.57 ((v20(constB154) | v21(constB154)) | (~v21(constB154))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36129,plain,
% 8.40/6.57 (~v21(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36128, 36127])).
% 8.40/6.57 tff(36130,plain,
% 8.40/6.57 ((~((~v21(constB154)) <=> v6(constB154))) | v21(constB154) | v6(constB154)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36131,plain,
% 8.40/6.57 (v6(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36130, 36129, 36103])).
% 8.40/6.57 tff(36132,plain,
% 8.40/6.57 ((~(v6(constB154) <=> v13(constB154))) | (~v6(constB154)) | v13(constB154)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36133,plain,
% 8.40/6.57 (v13(constB154)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36132, 36131, 36101])).
% 8.40/6.57 tff(36134,plain,
% 8.40/6.57 ((~(v13(constB154) <=> v9(constB153))) | (~v13(constB154)) | v9(constB153)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36135,plain,
% 8.40/6.57 (v9(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36134, 36133, 36099])).
% 8.40/6.57 tff(36136,plain,
% 8.40/6.57 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB153)) <=> v1(constB153))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36137,plain,
% 8.40/6.57 ((~v39(constB153)) <=> v1(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36136, 129])).
% 8.40/6.57 tff(36138,plain,
% 8.40/6.57 ((~((~v39(constB153)) <=> v1(constB153))) | v39(constB153) | v1(constB153)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36139,plain,
% 8.40/6.57 ((~((~v39(constB153)) <=> v1(constB153))) | v39(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36138, 13487])).
% 8.40/6.57 tff(36140,plain,
% 8.40/6.57 (v39(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36139, 36137])).
% 8.40/6.57 tff(36141,plain,
% 8.40/6.57 ((~((~v39(constB153)) | (~v9(constB153)))) | (~v39(constB153)) | (~v9(constB153))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36142,plain,
% 8.40/6.57 ((~((~v39(constB153)) | (~v9(constB153)))) | (~v9(constB153))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36141, 36140])).
% 8.40/6.57 tff(36143,plain,
% 8.40/6.57 (~((~v39(constB153)) | (~v9(constB153)))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36142, 36135])).
% 8.40/6.57 tff(36144,plain,
% 8.40/6.57 ((~(v184(constB153) <=> (~((~v39(constB153)) | (~v9(constB153)))))) | v184(constB153) | ((~v39(constB153)) | (~v9(constB153)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36145,plain,
% 8.40/6.57 (v184(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36144, 36143, 36095])).
% 8.40/6.57 tff(36146,plain,
% 8.40/6.57 ((v184(constB153) | v26(constB153)) | (~v184(constB153))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36147,plain,
% 8.40/6.57 (v184(constB153) | v26(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36146, 36145])).
% 8.40/6.57 tff(36148,plain,
% 8.40/6.57 ((~(v183(constB153) <=> (v184(constB153) | v26(constB153)))) | v183(constB153) | (~(v184(constB153) | v26(constB153)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36149,plain,
% 8.40/6.57 (v183(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36148, 36147, 36093])).
% 8.40/6.57 tff(36150,plain,
% 8.40/6.57 ((~((~v182(constB153)) <=> v183(constB153))) | (~v182(constB153)) | (~v183(constB153))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36151,plain,
% 8.40/6.57 (~v182(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36150, 36149, 36091])).
% 8.40/6.57 tff(36152,plain,
% 8.40/6.57 (((~v157(constB153)) | (~v182(constB153))) | v182(constB153)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36153,plain,
% 8.40/6.57 ((~v157(constB153)) | (~v182(constB153))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36152, 36151])).
% 8.40/6.57 tff(36154,plain,
% 8.40/6.57 ((~(v181(constB153) <=> (~((~v157(constB153)) | (~v182(constB153)))))) | (~v181(constB153)) | (~((~v157(constB153)) | (~v182(constB153))))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36155,plain,
% 8.40/6.57 (~v181(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36154, 36153, 36089])).
% 8.40/6.57 tff(36156,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB153) <=> (~((~v186(constB153)) | (~v187(constB153)))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36157,plain,
% 8.40/6.57 (v185(constB153) <=> (~((~v186(constB153)) | (~v187(constB153))))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36156, 96])).
% 8.40/6.57 tff(36158,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB153) <=> (~((~v184(constB153)) | (~v159(constB153)))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36159,plain,
% 8.40/6.57 (v187(constB153) <=> (~((~v184(constB153)) | (~v159(constB153))))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36158, 108])).
% 8.40/6.57 tff(36160,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB153) <=> v161(constB153))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36161,plain,
% 8.40/6.57 (v159(constB153) <=> v161(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36160, 345])).
% 8.40/6.57 tff(36162,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB153) <=> (v145(constB153) | v165(constB153)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36163,plain,
% 8.40/6.57 (v164(constB153) <=> (v145(constB153) | v165(constB153))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36162, 357])).
% 8.40/6.57 tff(36164,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB153) <=> (v146(constB153) | v147(constB153)))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36165,plain,
% 8.40/6.57 (v145(constB153) <=> (v146(constB153) | v147(constB153))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36164, 24729])).
% 8.40/6.57 tff(36166,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~(v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~(v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0)))))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(36167,plain,
% 8.40/6.57 ((v146(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2))))) <=> (v146(constB153) <=> (~(v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0))))),
% 8.40/6.57 inference(rewrite,[status(thm)],[])).
% 8.40/6.57 tff(36168,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~(v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0)))))),
% 8.40/6.57 inference(monotonicity,[status(thm)],[36167])).
% 8.40/6.57 tff(36169,plain,
% 8.40/6.57 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~(v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0)))))),
% 8.40/6.57 inference(transitivity,[status(thm)],[36168, 36166])).
% 8.40/6.57 tff(36170,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36171,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB153) <=> (~(v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0))))),
% 8.40/6.57 inference(modus_ponens,[status(thm)],[36170, 36169])).
% 8.40/6.57 tff(36172,plain,
% 8.40/6.57 (v146(constB153) <=> (~(v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0)))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36171, 24744])).
% 8.40/6.57 tff(36173,plain,
% 8.40/6.57 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB153, bitIndex1)) <=> v90(constB153, bitIndex1)) | ((~v88(constB153, bitIndex2)) <=> v90(constB153, bitIndex2)) | ((~v88(constB153, bitIndex0)) <=> v90(constB153, bitIndex0))))),
% 8.40/6.57 inference(quant_inst,[status(thm)],[])).
% 8.40/6.57 tff(36174,plain,
% 8.40/6.57 (~(((~v88(constB153, bitIndex1)) <=> v90(constB153, bitIndex1)) | ((~v88(constB153, bitIndex2)) <=> v90(constB153, bitIndex2)) | ((~v88(constB153, bitIndex0)) <=> v90(constB153, bitIndex0)))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36173, 416])).
% 8.40/6.57 tff(36175,plain,
% 8.40/6.57 ((((~v88(constB153, bitIndex1)) <=> v90(constB153, bitIndex1)) | ((~v88(constB153, bitIndex2)) <=> v90(constB153, bitIndex2)) | ((~v88(constB153, bitIndex0)) <=> v90(constB153, bitIndex0))) | (~((~v88(constB153, bitIndex2)) <=> v90(constB153, bitIndex2)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36176,plain,
% 8.40/6.57 (~((~v88(constB153, bitIndex2)) <=> v90(constB153, bitIndex2))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36175, 36174])).
% 8.40/6.57 tff(36177,plain,
% 8.40/6.57 (((~v88(constB153, bitIndex2)) <=> v90(constB153, bitIndex2)) | v88(constB153, bitIndex2) | (~v90(constB153, bitIndex2))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36178,plain,
% 8.40/6.57 (v88(constB153, bitIndex2)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36177, 18921, 36176])).
% 8.40/6.57 tff(36179,plain,
% 8.40/6.57 ((((~v88(constB153, bitIndex1)) <=> v90(constB153, bitIndex1)) | ((~v88(constB153, bitIndex2)) <=> v90(constB153, bitIndex2)) | ((~v88(constB153, bitIndex0)) <=> v90(constB153, bitIndex0))) | (~((~v88(constB153, bitIndex0)) <=> v90(constB153, bitIndex0)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36180,plain,
% 8.40/6.57 (~((~v88(constB153, bitIndex0)) <=> v90(constB153, bitIndex0))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36179, 36174])).
% 8.40/6.57 tff(36181,plain,
% 8.40/6.57 (((~v88(constB153, bitIndex0)) <=> v90(constB153, bitIndex0)) | (~v88(constB153, bitIndex0)) | v90(constB153, bitIndex0)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36182,plain,
% 8.40/6.57 (~v88(constB153, bitIndex0)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36181, 18939, 36180])).
% 8.40/6.57 tff(36183,plain,
% 8.40/6.57 ((((~v88(constB153, bitIndex1)) <=> v90(constB153, bitIndex1)) | ((~v88(constB153, bitIndex2)) <=> v90(constB153, bitIndex2)) | ((~v88(constB153, bitIndex0)) <=> v90(constB153, bitIndex0))) | (~((~v88(constB153, bitIndex1)) <=> v90(constB153, bitIndex1)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36184,plain,
% 8.40/6.57 (~((~v88(constB153, bitIndex1)) <=> v90(constB153, bitIndex1))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36183, 36174])).
% 8.40/6.57 tff(36185,plain,
% 8.40/6.57 (((~v88(constB153, bitIndex1)) <=> v90(constB153, bitIndex1)) | (~v88(constB153, bitIndex1)) | v90(constB153, bitIndex1)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36186,plain,
% 8.40/6.57 (~v88(constB153, bitIndex1)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36185, 18957, 36184])).
% 8.40/6.57 tff(36187,plain,
% 8.40/6.57 ((~(v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0))) | v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0)),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36188,plain,
% 8.40/6.57 (~(v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0))),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36187, 36186, 36182, 36178])).
% 8.40/6.57 tff(36189,plain,
% 8.40/6.57 ((~(v146(constB153) <=> (~(v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0))))) | v146(constB153) | (v88(constB153, bitIndex1) | (~v88(constB153, bitIndex2)) | v88(constB153, bitIndex0))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36190,plain,
% 8.40/6.57 (v146(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36189, 36188, 36172])).
% 8.40/6.57 tff(36191,plain,
% 8.40/6.57 ((v146(constB153) | v147(constB153)) | (~v146(constB153))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36192,plain,
% 8.40/6.57 (v146(constB153) | v147(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36191, 36190])).
% 8.40/6.57 tff(36193,plain,
% 8.40/6.57 ((~(v145(constB153) <=> (v146(constB153) | v147(constB153)))) | v145(constB153) | (~(v146(constB153) | v147(constB153)))),
% 8.40/6.57 inference(tautology,[status(thm)],[])).
% 8.40/6.57 tff(36194,plain,
% 8.40/6.57 (v145(constB153)),
% 8.40/6.57 inference(unit_resolution,[status(thm)],[36193, 36192, 36165])).
% 8.40/6.58 tff(36195,plain,
% 8.40/6.58 ((v145(constB153) | v165(constB153)) | (~v145(constB153))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36196,plain,
% 8.40/6.58 (v145(constB153) | v165(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36195, 36194])).
% 8.40/6.58 tff(36197,plain,
% 8.40/6.58 ((~(v164(constB153) <=> (v145(constB153) | v165(constB153)))) | v164(constB153) | (~(v145(constB153) | v165(constB153)))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36198,plain,
% 8.40/6.58 ((~(v164(constB153) <=> (v145(constB153) | v165(constB153)))) | v164(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36197, 36196])).
% 8.40/6.58 tff(36199,plain,
% 8.40/6.58 (v164(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36198, 36163])).
% 8.40/6.58 tff(36200,plain,
% 8.40/6.58 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB153)) | (v161(constB153) <=> v168(constB153)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB153)) | (v161(constB153) <=> v168(constB153)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36201,plain,
% 8.40/6.58 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB153)) | (v161(constB153) <=> v168(constB153)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36202,plain,
% 8.40/6.58 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB153)) | (v161(constB153) <=> v168(constB153))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36201, 36200])).
% 8.40/6.58 tff(36203,plain,
% 8.40/6.58 ((~v164(constB153)) | (v161(constB153) <=> v168(constB153))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36202, 12128])).
% 8.40/6.58 tff(36204,plain,
% 8.40/6.58 (v161(constB153) <=> v168(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36203, 36199])).
% 8.40/6.58 tff(36205,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2))))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36206,plain,
% 8.40/6.58 (v139(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2)))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36205, 12146])).
% 8.40/6.58 tff(36207,plain,
% 8.40/6.58 ((v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2)) | (~v88(constB153, bitIndex2))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36208,plain,
% 8.40/6.58 (v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36207, 36178])).
% 8.40/6.58 tff(36209,plain,
% 8.40/6.58 ((~(v139(constB153) <=> (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2))))) | (~v139(constB153)) | (~(v88(constB153, bitIndex0) | v88(constB153, bitIndex1) | v88(constB153, bitIndex2)))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36210,plain,
% 8.40/6.58 (~v139(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36209, 36208, 36206])).
% 8.40/6.58 tff(36211,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB153) <=> (~(v88(constB153, bitIndex1) | v88(constB153, bitIndex2) | (~v88(constB153, bitIndex0)))))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36212,plain,
% 8.40/6.58 (v140(constB153) <=> (~(v88(constB153, bitIndex1) | v88(constB153, bitIndex2) | (~v88(constB153, bitIndex0))))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36211, 12165])).
% 8.40/6.58 tff(36213,plain,
% 8.40/6.58 ((v88(constB153, bitIndex1) | v88(constB153, bitIndex2) | (~v88(constB153, bitIndex0))) | (~v88(constB153, bitIndex2))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36214,plain,
% 8.40/6.58 (v88(constB153, bitIndex1) | v88(constB153, bitIndex2) | (~v88(constB153, bitIndex0))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36213, 36178])).
% 8.40/6.58 tff(36215,plain,
% 8.40/6.58 ((~(v140(constB153) <=> (~(v88(constB153, bitIndex1) | v88(constB153, bitIndex2) | (~v88(constB153, bitIndex0)))))) | (~v140(constB153)) | (~(v88(constB153, bitIndex1) | v88(constB153, bitIndex2) | (~v88(constB153, bitIndex0))))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36216,plain,
% 8.40/6.58 (~v140(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36215, 36214, 36212])).
% 8.40/6.58 tff(36217,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB153) | v140(constB153) | (~v168(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB153) | v140(constB153) | (~v168(constB153)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36218,plain,
% 8.40/6.58 ((v140(constB153) | v139(constB153) | (~v168(constB153))) <=> (v139(constB153) | v140(constB153) | (~v168(constB153)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36219,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v168(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB153) | v140(constB153) | (~v168(constB153))))),
% 8.40/6.58 inference(monotonicity,[status(thm)],[36218])).
% 8.40/6.58 tff(36220,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v168(constB153)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB153) | v140(constB153) | (~v168(constB153)))),
% 8.40/6.58 inference(transitivity,[status(thm)],[36219, 36217])).
% 8.40/6.58 tff(36221,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB153) | v139(constB153) | (~v168(constB153)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36222,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB153) | v140(constB153) | (~v168(constB153))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36221, 36220])).
% 8.40/6.58 tff(36223,plain,
% 8.40/6.58 (v139(constB153) | v140(constB153) | (~v168(constB153))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36222, 12184])).
% 8.40/6.58 tff(36224,plain,
% 8.40/6.58 (~v168(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36223, 36216, 36210])).
% 8.40/6.58 tff(36225,plain,
% 8.40/6.58 ((~(v161(constB153) <=> v168(constB153))) | (~v161(constB153)) | v168(constB153)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36226,plain,
% 8.40/6.58 ((~(v161(constB153) <=> v168(constB153))) | (~v161(constB153))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36225, 36224])).
% 8.40/6.58 tff(36227,plain,
% 8.40/6.58 (~v161(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36226, 36204])).
% 8.40/6.58 tff(36228,plain,
% 8.40/6.58 ((~(v159(constB153) <=> v161(constB153))) | (~v159(constB153)) | v161(constB153)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36229,plain,
% 8.40/6.58 ((~(v159(constB153) <=> v161(constB153))) | (~v159(constB153))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36228, 36227])).
% 8.40/6.58 tff(36230,plain,
% 8.40/6.58 (~v159(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36229, 36161])).
% 8.40/6.58 tff(36231,plain,
% 8.40/6.58 (((~v184(constB153)) | (~v159(constB153))) | v159(constB153)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36232,plain,
% 8.40/6.58 ((~v184(constB153)) | (~v159(constB153))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36231, 36230])).
% 8.40/6.58 tff(36233,plain,
% 8.40/6.58 ((~(v187(constB153) <=> (~((~v184(constB153)) | (~v159(constB153)))))) | (~v187(constB153)) | (~((~v184(constB153)) | (~v159(constB153))))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36234,plain,
% 8.40/6.58 (~v187(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36233, 36232, 36159])).
% 8.40/6.58 tff(36235,plain,
% 8.40/6.58 (((~v186(constB153)) | (~v187(constB153))) | v187(constB153)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36236,plain,
% 8.40/6.58 ((~v186(constB153)) | (~v187(constB153))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36235, 36234])).
% 8.40/6.58 tff(36237,plain,
% 8.40/6.58 ((~(v185(constB153) <=> (~((~v186(constB153)) | (~v187(constB153)))))) | (~v185(constB153)) | (~((~v186(constB153)) | (~v187(constB153))))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36238,plain,
% 8.40/6.58 (~v185(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36237, 36236, 36157])).
% 8.40/6.58 tff(36239,plain,
% 8.40/6.58 ((~(v181(constB153) | v185(constB153))) | v181(constB153) | v185(constB153)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36240,plain,
% 8.40/6.58 (~(v181(constB153) | v185(constB153))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36239, 36238, 36155])).
% 8.40/6.58 tff(36241,plain,
% 8.40/6.58 ((~(v178(constB153) <=> (v181(constB153) | v185(constB153)))) | (~v178(constB153)) | (v181(constB153) | v185(constB153))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36242,plain,
% 8.40/6.58 (~v178(constB153)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36241, 36240, 36082])).
% 8.40/6.58 tff(36243,plain,
% 8.40/6.58 ((~(v180(constB154) <=> v178(constB153))) | (~v180(constB154)) | v178(constB153)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36244,plain,
% 8.40/6.58 (~v180(constB154)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36243, 36242, 36080])).
% 8.40/6.58 tff(36245,plain,
% 8.40/6.58 ((~(v157(constB154) <=> v180(constB154))) | (~v157(constB154)) | v180(constB154)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36246,plain,
% 8.40/6.58 (~v157(constB154)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36245, 36244, 36076])).
% 8.40/6.58 tff(36247,plain,
% 8.40/6.58 (((~v157(constB154)) | (~v182(constB154))) | v157(constB154)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36248,plain,
% 8.40/6.58 ((~v157(constB154)) | (~v182(constB154))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36247, 36246])).
% 8.40/6.58 tff(36249,plain,
% 8.40/6.58 ((~(v181(constB154) <=> (~((~v157(constB154)) | (~v182(constB154)))))) | (~v181(constB154)) | (~((~v157(constB154)) | (~v182(constB154))))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36250,plain,
% 8.40/6.58 (~v181(constB154)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36249, 36248, 36074])).
% 8.40/6.58 tff(36251,plain,
% 8.40/6.58 ((~(v181(constB154) | v185(constB154))) | v181(constB154) | v185(constB154)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36252,plain,
% 8.40/6.58 (~(v181(constB154) | v185(constB154))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36251, 36250, 36067])).
% 8.40/6.58 tff(36253,plain,
% 8.40/6.58 ((~(v178(constB154) <=> (v181(constB154) | v185(constB154)))) | (~v178(constB154)) | (v181(constB154) | v185(constB154))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36254,plain,
% 8.40/6.58 (~v178(constB154)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36253, 36252, 36042])).
% 8.40/6.58 tff(36255,plain,
% 8.40/6.58 ((~(v180(constB155) <=> v178(constB154))) | (~v180(constB155)) | v178(constB154)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36256,plain,
% 8.40/6.58 (~v180(constB155)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36255, 36254, 36040])).
% 8.40/6.58 tff(36257,plain,
% 8.40/6.58 ($false),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36256, 36036])).
% 8.40/6.58 tff(36258,plain,(~(constB155 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.58 tff(36259,assumption,(constB173 = VarCurr!0), introduced(assumption)).
% 8.40/6.58 tff(36260,plain,
% 8.40/6.58 (v86(constB173) <=> v86(VarCurr!0)),
% 8.40/6.58 inference(monotonicity,[status(thm)],[36259])).
% 8.40/6.58 tff(36261,plain,
% 8.40/6.58 (v86(VarCurr!0) <=> v86(constB173)),
% 8.40/6.58 inference(symmetry,[status(thm)],[36260])).
% 8.40/6.58 tff(36262,plain,
% 8.40/6.58 ((~v86(VarCurr!0)) <=> (~v86(constB173))),
% 8.40/6.58 inference(monotonicity,[status(thm)],[36261])).
% 8.40/6.58 tff(36263,plain,
% 8.40/6.58 (~v86(constB173)),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[21766, 36262])).
% 8.40/6.58 tff(36264,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB173) <=> (v136(constB173) | v145(constB173)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36265,plain,
% 8.40/6.58 (v135(constB173) <=> (v136(constB173) | v145(constB173))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36264, 21774])).
% 8.40/6.58 tff(36266,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB173) <=> (v137(constB173) | v142(constB173)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36267,plain,
% 8.40/6.58 (v136(constB173) <=> (v137(constB173) | v142(constB173))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36266, 21783])).
% 8.40/6.58 tff(36268,plain,
% 8.40/6.58 ((v137(constB173) | v142(constB173)) | (~v142(constB173))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36269,plain,
% 8.40/6.58 (v137(constB173) | v142(constB173)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36268, 33674])).
% 8.40/6.58 tff(36270,plain,
% 8.40/6.58 ((~(v136(constB173) <=> (v137(constB173) | v142(constB173)))) | v136(constB173) | (~(v137(constB173) | v142(constB173)))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36271,plain,
% 8.40/6.58 ((~(v136(constB173) <=> (v137(constB173) | v142(constB173)))) | v136(constB173)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36270, 36269])).
% 8.40/6.58 tff(36272,plain,
% 8.40/6.58 (v136(constB173)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36271, 36267])).
% 8.40/6.58 tff(36273,plain,
% 8.40/6.58 ((v136(constB173) | v145(constB173)) | (~v136(constB173))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36274,plain,
% 8.40/6.58 (v136(constB173) | v145(constB173)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36273, 36272])).
% 8.40/6.58 tff(36275,plain,
% 8.40/6.58 ((~(v135(constB173) <=> (v136(constB173) | v145(constB173)))) | v135(constB173) | (~(v136(constB173) | v145(constB173)))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36276,plain,
% 8.40/6.58 (v135(constB173)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36275, 36274, 36265])).
% 8.40/6.58 tff(36277,plain,
% 8.40/6.58 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB173)) | (v86(constB173) <=> v148(constB173)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB173)) | (v86(constB173) <=> v148(constB173)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36278,plain,
% 8.40/6.58 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB173)) | (v86(constB173) <=> v148(constB173)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36279,plain,
% 8.40/6.58 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB173)) | (v86(constB173) <=> v148(constB173))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36278, 36277])).
% 8.40/6.58 tff(36280,plain,
% 8.40/6.58 (v86(constB173) <=> v148(constB173)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36279, 21855, 36276])).
% 8.40/6.58 tff(36281,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB173) | (~v142(constB173)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB173) | (~v142(constB173)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36282,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB173) | (~v142(constB173)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36283,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB173) | (~v142(constB173))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36282, 36281])).
% 8.40/6.58 tff(36284,plain,
% 8.40/6.58 (v148(constB173)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36283, 21869, 33674])).
% 8.40/6.58 tff(36285,plain,
% 8.40/6.58 ((~(v86(constB173) <=> v148(constB173))) | v86(constB173) | (~v148(constB173))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36286,plain,
% 8.40/6.58 ((~(v86(constB173) <=> v148(constB173))) | v86(constB173)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36285, 36284])).
% 8.40/6.58 tff(36287,plain,
% 8.40/6.58 (v86(constB173)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36286, 36280])).
% 8.40/6.58 tff(36288,plain,
% 8.40/6.58 ($false),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36287, 36263])).
% 8.40/6.58 tff(36289,plain,(~(constB173 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.58 tff(36290,assumption,(constB17 = VarCurr!0), introduced(assumption)).
% 8.40/6.58 tff(36291,plain,
% 8.40/6.58 (v86(constB17) <=> v86(VarCurr!0)),
% 8.40/6.58 inference(monotonicity,[status(thm)],[36290])).
% 8.40/6.58 tff(36292,plain,
% 8.40/6.58 (v86(VarCurr!0) <=> v86(constB17)),
% 8.40/6.58 inference(symmetry,[status(thm)],[36291])).
% 8.40/6.58 tff(36293,plain,
% 8.40/6.58 ((~v86(VarCurr!0)) <=> (~v86(constB17))),
% 8.40/6.58 inference(monotonicity,[status(thm)],[36292])).
% 8.40/6.58 tff(36294,plain,
% 8.40/6.58 (~v86(constB17)),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[21766, 36293])).
% 8.40/6.58 tff(36295,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB17) <=> (v136(constB17) | v145(constB17)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36296,plain,
% 8.40/6.58 (v135(constB17) <=> (v136(constB17) | v145(constB17))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36295, 21774])).
% 8.40/6.58 tff(36297,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB17) <=> (v137(constB17) | v142(constB17)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36298,plain,
% 8.40/6.58 (v136(constB17) <=> (v137(constB17) | v142(constB17))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36297, 21783])).
% 8.40/6.58 tff(36299,plain,
% 8.40/6.58 ((v137(constB17) | v142(constB17)) | (~v142(constB17))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36300,plain,
% 8.40/6.58 (v137(constB17) | v142(constB17)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36299, 27341])).
% 8.40/6.58 tff(36301,plain,
% 8.40/6.58 ((~(v136(constB17) <=> (v137(constB17) | v142(constB17)))) | v136(constB17) | (~(v137(constB17) | v142(constB17)))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36302,plain,
% 8.40/6.58 ((~(v136(constB17) <=> (v137(constB17) | v142(constB17)))) | v136(constB17)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36301, 36300])).
% 8.40/6.58 tff(36303,plain,
% 8.40/6.58 (v136(constB17)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36302, 36298])).
% 8.40/6.58 tff(36304,plain,
% 8.40/6.58 ((v136(constB17) | v145(constB17)) | (~v136(constB17))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36305,plain,
% 8.40/6.58 (v136(constB17) | v145(constB17)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36304, 36303])).
% 8.40/6.58 tff(36306,plain,
% 8.40/6.58 ((~(v135(constB17) <=> (v136(constB17) | v145(constB17)))) | v135(constB17) | (~(v136(constB17) | v145(constB17)))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36307,plain,
% 8.40/6.58 (v135(constB17)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36306, 36305, 36296])).
% 8.40/6.58 tff(36308,plain,
% 8.40/6.58 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB17)) | (v86(constB17) <=> v148(constB17)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB17)) | (v86(constB17) <=> v148(constB17)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36309,plain,
% 8.40/6.58 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB17)) | (v86(constB17) <=> v148(constB17)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36310,plain,
% 8.40/6.58 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB17)) | (v86(constB17) <=> v148(constB17))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36309, 36308])).
% 8.40/6.58 tff(36311,plain,
% 8.40/6.58 (v86(constB17) <=> v148(constB17)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36310, 21855, 36307])).
% 8.40/6.58 tff(36312,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB17) | (~v142(constB17)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB17) | (~v142(constB17)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36313,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB17) | (~v142(constB17)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36314,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB17) | (~v142(constB17))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36313, 36312])).
% 8.40/6.58 tff(36315,plain,
% 8.40/6.58 (v148(constB17)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36314, 21869, 27341])).
% 8.40/6.58 tff(36316,plain,
% 8.40/6.58 ((~(v86(constB17) <=> v148(constB17))) | v86(constB17) | (~v148(constB17))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36317,plain,
% 8.40/6.58 ((~(v86(constB17) <=> v148(constB17))) | v86(constB17)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36316, 36315])).
% 8.40/6.58 tff(36318,plain,
% 8.40/6.58 (v86(constB17)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36317, 36311])).
% 8.40/6.58 tff(36319,plain,
% 8.40/6.58 ($false),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36318, 36294])).
% 8.40/6.58 tff(36320,plain,(~(constB17 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.58 tff(36321,assumption,(constB49 = VarCurr!0), introduced(assumption)).
% 8.40/6.58 tff(36322,plain,
% 8.40/6.58 (v86(constB49) <=> v86(VarCurr!0)),
% 8.40/6.58 inference(monotonicity,[status(thm)],[36321])).
% 8.40/6.58 tff(36323,plain,
% 8.40/6.58 (v86(VarCurr!0) <=> v86(constB49)),
% 8.40/6.58 inference(symmetry,[status(thm)],[36322])).
% 8.40/6.58 tff(36324,plain,
% 8.40/6.58 ((~v86(VarCurr!0)) <=> (~v86(constB49))),
% 8.40/6.58 inference(monotonicity,[status(thm)],[36323])).
% 8.40/6.58 tff(36325,plain,
% 8.40/6.58 (~v86(constB49)),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[21766, 36324])).
% 8.40/6.58 tff(36326,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB49) <=> (v136(constB49) | v145(constB49)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36327,plain,
% 8.40/6.58 (v135(constB49) <=> (v136(constB49) | v145(constB49))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36326, 21774])).
% 8.40/6.58 tff(36328,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB49) <=> (v137(constB49) | v142(constB49)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36329,plain,
% 8.40/6.58 (v136(constB49) <=> (v137(constB49) | v142(constB49))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36328, 21783])).
% 8.40/6.58 tff(36330,plain,
% 8.40/6.58 ((v137(constB49) | v142(constB49)) | (~v142(constB49))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36331,plain,
% 8.40/6.58 (v137(constB49) | v142(constB49)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36330, 34135])).
% 8.40/6.58 tff(36332,plain,
% 8.40/6.58 ((~(v136(constB49) <=> (v137(constB49) | v142(constB49)))) | v136(constB49) | (~(v137(constB49) | v142(constB49)))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36333,plain,
% 8.40/6.58 ((~(v136(constB49) <=> (v137(constB49) | v142(constB49)))) | v136(constB49)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36332, 36331])).
% 8.40/6.58 tff(36334,plain,
% 8.40/6.58 (v136(constB49)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36333, 36329])).
% 8.40/6.58 tff(36335,plain,
% 8.40/6.58 ((v136(constB49) | v145(constB49)) | (~v136(constB49))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36336,plain,
% 8.40/6.58 (v136(constB49) | v145(constB49)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36335, 36334])).
% 8.40/6.58 tff(36337,plain,
% 8.40/6.58 ((~(v135(constB49) <=> (v136(constB49) | v145(constB49)))) | v135(constB49) | (~(v136(constB49) | v145(constB49)))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36338,plain,
% 8.40/6.58 (v135(constB49)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36337, 36336, 36327])).
% 8.40/6.58 tff(36339,plain,
% 8.40/6.58 (((~![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)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36340,plain,
% 8.40/6.58 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB49)) | (v86(constB49) <=> v148(constB49)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36341,plain,
% 8.40/6.58 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB49)) | (v86(constB49) <=> v148(constB49))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36340, 36339])).
% 8.40/6.58 tff(36342,plain,
% 8.40/6.58 (v86(constB49) <=> v148(constB49)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36341, 21855, 36338])).
% 8.40/6.58 tff(36343,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB49) | (~v142(constB49)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36344,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB49) | (~v142(constB49)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36345,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB49) | (~v142(constB49))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36344, 36343])).
% 8.40/6.58 tff(36346,plain,
% 8.40/6.58 (v148(constB49)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36345, 21869, 34135])).
% 8.40/6.58 tff(36347,plain,
% 8.40/6.58 ((~(v86(constB49) <=> v148(constB49))) | v86(constB49) | (~v148(constB49))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36348,plain,
% 8.40/6.58 ((~(v86(constB49) <=> v148(constB49))) | v86(constB49)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36347, 36346])).
% 8.40/6.58 tff(36349,plain,
% 8.40/6.58 (v86(constB49)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36348, 36342])).
% 8.40/6.58 tff(36350,plain,
% 8.40/6.58 ($false),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36349, 36325])).
% 8.40/6.58 tff(36351,plain,(~(constB49 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.58 tff(36352,assumption,(constB103 = VarCurr!0), introduced(assumption)).
% 8.40/6.58 tff(36353,plain,
% 8.40/6.58 (v180(constB103) <=> v180(VarCurr!0)),
% 8.40/6.58 inference(monotonicity,[status(thm)],[36352])).
% 8.40/6.58 tff(36354,plain,
% 8.40/6.58 (v180(VarCurr!0) <=> v180(constB103)),
% 8.40/6.58 inference(symmetry,[status(thm)],[36353])).
% 8.40/6.58 tff(36355,plain,
% 8.40/6.58 (v180(constB103)),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[59, 36354])).
% 8.40/6.58 tff(36356,plain,
% 8.40/6.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB102, constB103)) | (v180(constB103) <=> v178(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB102, constB103)) | (v180(constB103) <=> v178(constB102)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36357,plain,
% 8.40/6.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB102, constB103)) | (v180(constB103) <=> v178(constB102)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36358,plain,
% 8.40/6.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB102, constB103)) | (v180(constB103) <=> v178(constB102))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36357, 36356])).
% 8.40/6.58 tff(36359,plain,
% 8.40/6.58 (v180(constB103) <=> v178(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36358, 436, 70])).
% 8.40/6.58 tff(36360,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB102) <=> (v181(constB102) | v185(constB102)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36361,plain,
% 8.40/6.58 (v178(constB102) <=> (v181(constB102) | v185(constB102))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36360, 84])).
% 8.40/6.58 tff(36362,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB102) <=> (~((~v186(constB102)) | (~v187(constB102)))))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36363,plain,
% 8.40/6.58 (v185(constB102) <=> (~((~v186(constB102)) | (~v187(constB102))))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36362, 96])).
% 8.40/6.58 tff(36364,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB102) <=> (~((~v184(constB102)) | (~v159(constB102)))))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36365,plain,
% 8.40/6.58 (v187(constB102) <=> (~((~v184(constB102)) | (~v159(constB102))))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36364, 108])).
% 8.40/6.58 tff(36366,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36367,plain,
% 8.40/6.58 (v184(constB102) <=> (~((~v39(constB102)) | (~v9(constB102))))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36366, 120])).
% 8.40/6.58 tff(36368,plain,
% 8.40/6.58 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB102)) <=> v1(constB102))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36369,plain,
% 8.40/6.58 ((~v39(constB102)) <=> v1(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36368, 129])).
% 8.40/6.58 tff(36370,plain,
% 8.40/6.58 ((~((~v39(constB102)) <=> v1(constB102))) | (~v39(constB102)) | (~v1(constB102))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36371,plain,
% 8.40/6.58 ((~((~v39(constB102)) <=> v1(constB102))) | (~v39(constB102))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36370, 11978])).
% 8.40/6.58 tff(36372,plain,
% 8.40/6.58 (~v39(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36371, 36369])).
% 8.40/6.58 tff(36373,plain,
% 8.40/6.58 (((~v39(constB102)) | (~v9(constB102))) | v39(constB102)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36374,plain,
% 8.40/6.58 ((~v39(constB102)) | (~v9(constB102))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36373, 36372])).
% 8.40/6.58 tff(36375,plain,
% 8.40/6.58 ((~(v184(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))) | (~v184(constB102)) | (~((~v39(constB102)) | (~v9(constB102))))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36376,plain,
% 8.40/6.58 ((~(v184(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))) | (~v184(constB102))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36375, 36374])).
% 8.40/6.58 tff(36377,plain,
% 8.40/6.58 (~v184(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36376, 36367])).
% 8.40/6.58 tff(36378,plain,
% 8.40/6.58 (((~v184(constB102)) | (~v159(constB102))) | v184(constB102)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36379,plain,
% 8.40/6.58 ((~v184(constB102)) | (~v159(constB102))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36378, 36377])).
% 8.40/6.58 tff(36380,plain,
% 8.40/6.58 ((~(v187(constB102) <=> (~((~v184(constB102)) | (~v159(constB102)))))) | (~v187(constB102)) | (~((~v184(constB102)) | (~v159(constB102))))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36381,plain,
% 8.40/6.58 ((~(v187(constB102) <=> (~((~v184(constB102)) | (~v159(constB102)))))) | (~v187(constB102))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36380, 36379])).
% 8.40/6.58 tff(36382,plain,
% 8.40/6.58 (~v187(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36381, 36365])).
% 8.40/6.58 tff(36383,plain,
% 8.40/6.58 (((~v186(constB102)) | (~v187(constB102))) | v187(constB102)),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36384,plain,
% 8.40/6.58 ((~v186(constB102)) | (~v187(constB102))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36383, 36382])).
% 8.40/6.58 tff(36385,plain,
% 8.40/6.58 ((~(v185(constB102) <=> (~((~v186(constB102)) | (~v187(constB102)))))) | (~v185(constB102)) | (~((~v186(constB102)) | (~v187(constB102))))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36386,plain,
% 8.40/6.58 (~v185(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36385, 36384, 36363])).
% 8.40/6.58 tff(36387,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB102) <=> (~((~v157(constB102)) | (~v182(constB102)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB102) <=> (~((~v157(constB102)) | (~v182(constB102))))))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36388,plain,
% 8.40/6.58 ((v181(constB102) <=> (~((~v182(constB102)) | (~v157(constB102))))) <=> (v181(constB102) <=> (~((~v157(constB102)) | (~v182(constB102)))))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36389,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB102) <=> (~((~v182(constB102)) | (~v157(constB102)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB102) <=> (~((~v157(constB102)) | (~v182(constB102))))))),
% 8.40/6.58 inference(monotonicity,[status(thm)],[36388])).
% 8.40/6.58 tff(36390,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB102) <=> (~((~v182(constB102)) | (~v157(constB102)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB102) <=> (~((~v157(constB102)) | (~v182(constB102))))))),
% 8.40/6.58 inference(transitivity,[status(thm)],[36389, 36387])).
% 8.40/6.58 tff(36391,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB102) <=> (~((~v182(constB102)) | (~v157(constB102)))))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36392,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB102) <=> (~((~v157(constB102)) | (~v182(constB102)))))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36391, 36390])).
% 8.40/6.58 tff(36393,plain,
% 8.40/6.58 (v181(constB102) <=> (~((~v157(constB102)) | (~v182(constB102))))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36392, 161])).
% 8.40/6.58 tff(36394,plain,
% 8.40/6.58 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB102) <=> v180(constB102))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36395,plain,
% 8.40/6.58 (v157(constB102) <=> v180(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36394, 13])).
% 8.40/6.58 tff(36396,plain,
% 8.40/6.58 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB101, constB102)) | (v180(constB102) <=> v178(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB101, constB102)) | (v180(constB102) <=> v178(constB101)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36397,plain,
% 8.40/6.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB101, constB102)) | (v180(constB102) <=> v178(constB101)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36398,plain,
% 8.40/6.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB101, constB102)) | (v180(constB102) <=> v178(constB101))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36397, 36396])).
% 8.40/6.58 tff(36399,plain,
% 8.40/6.58 (v180(constB102) <=> v178(constB101)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36398, 508, 70])).
% 8.40/6.58 tff(36400,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB101) <=> (v181(constB101) | v185(constB101)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36401,plain,
% 8.40/6.58 (v178(constB101) <=> (v181(constB101) | v185(constB101))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36400, 84])).
% 8.40/6.58 tff(36402,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB101) <=> (~((~v157(constB101)) | (~v182(constB101)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB101) <=> (~((~v157(constB101)) | (~v182(constB101))))))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36403,plain,
% 8.40/6.58 ((v181(constB101) <=> (~((~v182(constB101)) | (~v157(constB101))))) <=> (v181(constB101) <=> (~((~v157(constB101)) | (~v182(constB101)))))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36404,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB101) <=> (~((~v182(constB101)) | (~v157(constB101)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB101) <=> (~((~v157(constB101)) | (~v182(constB101))))))),
% 8.40/6.58 inference(monotonicity,[status(thm)],[36403])).
% 8.40/6.58 tff(36405,plain,
% 8.40/6.58 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB101) <=> (~((~v182(constB101)) | (~v157(constB101)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB101) <=> (~((~v157(constB101)) | (~v182(constB101))))))),
% 8.40/6.58 inference(transitivity,[status(thm)],[36404, 36402])).
% 8.40/6.58 tff(36406,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB101) <=> (~((~v182(constB101)) | (~v157(constB101)))))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36407,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB101) <=> (~((~v157(constB101)) | (~v182(constB101)))))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36406, 36405])).
% 8.40/6.58 tff(36408,plain,
% 8.40/6.58 (v181(constB101) <=> (~((~v157(constB101)) | (~v182(constB101))))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36407, 161])).
% 8.40/6.58 tff(36409,plain,
% 8.40/6.58 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB101)) <=> v183(constB101))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36410,plain,
% 8.40/6.58 ((~v182(constB101)) <=> v183(constB101)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36409, 193])).
% 8.40/6.58 tff(36411,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB101) <=> (v184(constB101) | v26(constB101)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36412,plain,
% 8.40/6.58 (v183(constB101) <=> (v184(constB101) | v26(constB101))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36411, 202])).
% 8.40/6.58 tff(36413,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB101) <=> (~((~v39(constB101)) | (~v9(constB101)))))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36414,plain,
% 8.40/6.58 (v184(constB101) <=> (~((~v39(constB101)) | (~v9(constB101))))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36413, 120])).
% 8.40/6.58 tff(36415,plain,
% 8.40/6.58 (((~![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)))),
% 8.40/6.58 inference(rewrite,[status(thm)],[])).
% 8.40/6.58 tff(36416,plain,
% 8.40/6.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB101, constB102)) | (v13(constB102) <=> v9(constB101)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36417,plain,
% 8.40/6.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB101, constB102)) | (v13(constB102) <=> v9(constB101))),
% 8.40/6.58 inference(modus_ponens,[status(thm)],[36416, 36415])).
% 8.40/6.58 tff(36418,plain,
% 8.40/6.58 (v13(constB102) <=> v9(constB101)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36417, 508, 216])).
% 8.40/6.58 tff(36419,plain,
% 8.40/6.58 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB102) <=> v13(constB102))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36420,plain,
% 8.40/6.58 (v6(constB102) <=> v13(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36419, 230])).
% 8.40/6.58 tff(36421,plain,
% 8.40/6.58 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB102)) <=> v6(constB102))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36422,plain,
% 8.40/6.58 ((~v21(constB102)) <=> v6(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36421, 239])).
% 8.40/6.58 tff(36423,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB102) <=> (v20(constB102) | v21(constB102)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36424,plain,
% 8.40/6.58 (v19(constB102) <=> (v20(constB102) | v21(constB102))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36423, 248])).
% 8.40/6.58 tff(36425,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB102) <=> (~((~v19(constB102)) | (~v22(constB102)))))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36426,plain,
% 8.40/6.58 (v18(constB102) <=> (~((~v19(constB102)) | (~v22(constB102))))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36425, 260])).
% 8.40/6.58 tff(36427,plain,
% 8.40/6.58 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB102)) <=> v18(constB102))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36428,plain,
% 8.40/6.58 ((~v4(constB102)) <=> v18(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36427, 269])).
% 8.40/6.58 tff(36429,plain,
% 8.40/6.58 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB102)),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36430,plain,
% 8.40/6.58 (v4(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36429, 278])).
% 8.40/6.58 tff(36431,plain,
% 8.40/6.58 ((~((~v4(constB102)) <=> v18(constB102))) | (~v4(constB102)) | (~v18(constB102))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36432,plain,
% 8.40/6.58 (~v18(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36431, 36430, 36428])).
% 8.40/6.58 tff(36433,plain,
% 8.40/6.58 ((~(v18(constB102) <=> (~((~v19(constB102)) | (~v22(constB102)))))) | v18(constB102) | ((~v19(constB102)) | (~v22(constB102)))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36434,plain,
% 8.40/6.58 ((~v19(constB102)) | (~v22(constB102))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36433, 36432, 36426])).
% 8.40/6.58 tff(36435,plain,
% 8.40/6.58 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB102) <=> (v1(constB102) | v6(constB102)))),
% 8.40/6.58 inference(quant_inst,[status(thm)],[])).
% 8.40/6.58 tff(36436,plain,
% 8.40/6.58 (v22(constB102) <=> (v1(constB102) | v6(constB102))),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36435, 291])).
% 8.40/6.58 tff(36437,plain,
% 8.40/6.58 ((v1(constB102) | v6(constB102)) | (~v1(constB102))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36438,plain,
% 8.40/6.58 (v1(constB102) | v6(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36437, 11978])).
% 8.40/6.58 tff(36439,plain,
% 8.40/6.58 ((~(v22(constB102) <=> (v1(constB102) | v6(constB102)))) | v22(constB102) | (~(v1(constB102) | v6(constB102)))),
% 8.40/6.58 inference(tautology,[status(thm)],[])).
% 8.40/6.58 tff(36440,plain,
% 8.40/6.58 ((~(v22(constB102) <=> (v1(constB102) | v6(constB102)))) | v22(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36439, 36438])).
% 8.40/6.58 tff(36441,plain,
% 8.40/6.58 (v22(constB102)),
% 8.40/6.58 inference(unit_resolution,[status(thm)],[36440, 36436])).
% 8.40/6.59 tff(36442,plain,
% 8.40/6.59 ((~((~v19(constB102)) | (~v22(constB102)))) | (~v19(constB102)) | (~v22(constB102))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36443,plain,
% 8.40/6.59 ((~((~v19(constB102)) | (~v22(constB102)))) | (~v19(constB102))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36442, 36441])).
% 8.40/6.59 tff(36444,plain,
% 8.40/6.59 (~v19(constB102)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36443, 36434])).
% 8.40/6.59 tff(36445,plain,
% 8.40/6.59 ((~(v19(constB102) <=> (v20(constB102) | v21(constB102)))) | v19(constB102) | (~(v20(constB102) | v21(constB102)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36446,plain,
% 8.40/6.59 (~(v20(constB102) | v21(constB102))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36445, 36444, 36424])).
% 8.40/6.59 tff(36447,plain,
% 8.40/6.59 ((v20(constB102) | v21(constB102)) | (~v21(constB102))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36448,plain,
% 8.40/6.59 (~v21(constB102)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36447, 36446])).
% 8.40/6.59 tff(36449,plain,
% 8.40/6.59 ((~((~v21(constB102)) <=> v6(constB102))) | v21(constB102) | v6(constB102)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36450,plain,
% 8.40/6.59 (v6(constB102)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36449, 36448, 36422])).
% 8.40/6.59 tff(36451,plain,
% 8.40/6.59 ((~(v6(constB102) <=> v13(constB102))) | (~v6(constB102)) | v13(constB102)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36452,plain,
% 8.40/6.59 (v13(constB102)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36451, 36450, 36420])).
% 8.40/6.59 tff(36453,plain,
% 8.40/6.59 ((~(v13(constB102) <=> v9(constB101))) | (~v13(constB102)) | v9(constB101)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36454,plain,
% 8.40/6.59 (v9(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36453, 36452, 36418])).
% 8.40/6.59 tff(36455,plain,
% 8.40/6.59 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB101)) <=> v1(constB101))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36456,plain,
% 8.40/6.59 ((~v39(constB101)) <=> v1(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36455, 129])).
% 8.40/6.59 tff(36457,plain,
% 8.40/6.59 ((~((~v39(constB101)) <=> v1(constB101))) | v39(constB101) | v1(constB101)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36458,plain,
% 8.40/6.59 ((~((~v39(constB101)) <=> v1(constB101))) | v39(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36457, 598])).
% 8.40/6.59 tff(36459,plain,
% 8.40/6.59 (v39(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36458, 36456])).
% 8.40/6.59 tff(36460,plain,
% 8.40/6.59 ((~((~v39(constB101)) | (~v9(constB101)))) | (~v39(constB101)) | (~v9(constB101))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36461,plain,
% 8.40/6.59 ((~((~v39(constB101)) | (~v9(constB101)))) | (~v9(constB101))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36460, 36459])).
% 8.40/6.59 tff(36462,plain,
% 8.40/6.59 (~((~v39(constB101)) | (~v9(constB101)))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36461, 36454])).
% 8.40/6.59 tff(36463,plain,
% 8.40/6.59 ((~(v184(constB101) <=> (~((~v39(constB101)) | (~v9(constB101)))))) | v184(constB101) | ((~v39(constB101)) | (~v9(constB101)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36464,plain,
% 8.40/6.59 (v184(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36463, 36462, 36414])).
% 8.40/6.59 tff(36465,plain,
% 8.40/6.59 ((v184(constB101) | v26(constB101)) | (~v184(constB101))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36466,plain,
% 8.40/6.59 (v184(constB101) | v26(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36465, 36464])).
% 8.40/6.59 tff(36467,plain,
% 8.40/6.59 ((~(v183(constB101) <=> (v184(constB101) | v26(constB101)))) | v183(constB101) | (~(v184(constB101) | v26(constB101)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36468,plain,
% 8.40/6.59 (v183(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36467, 36466, 36412])).
% 8.40/6.59 tff(36469,plain,
% 8.40/6.59 ((~((~v182(constB101)) <=> v183(constB101))) | (~v182(constB101)) | (~v183(constB101))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36470,plain,
% 8.40/6.59 (~v182(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36469, 36468, 36410])).
% 8.40/6.59 tff(36471,plain,
% 8.40/6.59 (((~v157(constB101)) | (~v182(constB101))) | v182(constB101)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36472,plain,
% 8.40/6.59 ((~v157(constB101)) | (~v182(constB101))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36471, 36470])).
% 8.40/6.59 tff(36473,plain,
% 8.40/6.59 ((~(v181(constB101) <=> (~((~v157(constB101)) | (~v182(constB101)))))) | (~v181(constB101)) | (~((~v157(constB101)) | (~v182(constB101))))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36474,plain,
% 8.40/6.59 (~v181(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36473, 36472, 36408])).
% 8.40/6.59 tff(36475,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB101) <=> (~((~v186(constB101)) | (~v187(constB101)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36476,plain,
% 8.40/6.59 (v185(constB101) <=> (~((~v186(constB101)) | (~v187(constB101))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36475, 96])).
% 8.40/6.59 tff(36477,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB101) <=> (~((~v184(constB101)) | (~v159(constB101)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36478,plain,
% 8.40/6.59 (v187(constB101) <=> (~((~v184(constB101)) | (~v159(constB101))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36477, 108])).
% 8.40/6.59 tff(36479,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB101) <=> v161(constB101))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36480,plain,
% 8.40/6.59 (v159(constB101) <=> v161(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36479, 345])).
% 8.40/6.59 tff(36481,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB101) <=> (v145(constB101) | v165(constB101)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36482,plain,
% 8.40/6.59 (v164(constB101) <=> (v145(constB101) | v165(constB101))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36481, 357])).
% 8.40/6.59 tff(36483,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB101) <=> (v142(constB101) | v166(constB101)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36484,plain,
% 8.40/6.59 (v165(constB101) <=> (v142(constB101) | v166(constB101))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36483, 369])).
% 8.40/6.59 tff(36485,plain,
% 8.40/6.59 ((v142(constB101) | v166(constB101)) | (~v142(constB101))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36486,plain,
% 8.40/6.59 (v142(constB101) | v166(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36485, 26059])).
% 8.40/6.59 tff(36487,plain,
% 8.40/6.59 ((~(v165(constB101) <=> (v142(constB101) | v166(constB101)))) | v165(constB101) | (~(v142(constB101) | v166(constB101)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36488,plain,
% 8.40/6.59 ((~(v165(constB101) <=> (v142(constB101) | v166(constB101)))) | v165(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36487, 36486])).
% 8.40/6.59 tff(36489,plain,
% 8.40/6.59 (v165(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36488, 36484])).
% 8.40/6.59 tff(36490,plain,
% 8.40/6.59 ((v145(constB101) | v165(constB101)) | (~v165(constB101))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36491,plain,
% 8.40/6.59 (v145(constB101) | v165(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36490, 36489])).
% 8.40/6.59 tff(36492,plain,
% 8.40/6.59 ((~(v164(constB101) <=> (v145(constB101) | v165(constB101)))) | v164(constB101) | (~(v145(constB101) | v165(constB101)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36493,plain,
% 8.40/6.59 (v164(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36492, 36491, 36482])).
% 8.40/6.59 tff(36494,plain,
% 8.40/6.59 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB101)) | (v161(constB101) <=> v168(constB101)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB101)) | (v161(constB101) <=> v168(constB101)))),
% 8.40/6.59 inference(rewrite,[status(thm)],[])).
% 8.40/6.59 tff(36495,plain,
% 8.40/6.59 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB101)) | (v161(constB101) <=> v168(constB101)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36496,plain,
% 8.40/6.59 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB101)) | (v161(constB101) <=> v168(constB101))),
% 8.40/6.59 inference(modus_ponens,[status(thm)],[36495, 36494])).
% 8.40/6.59 tff(36497,plain,
% 8.40/6.59 ((~v164(constB101)) | (v161(constB101) <=> v168(constB101))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36496, 12128])).
% 8.40/6.59 tff(36498,plain,
% 8.40/6.59 (v161(constB101) <=> v168(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36497, 36493])).
% 8.40/6.59 tff(36499,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB101) <=> (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex1) | v88(constB101, bitIndex2))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36500,plain,
% 8.40/6.59 (v139(constB101) <=> (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex1) | v88(constB101, bitIndex2)))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36499, 12146])).
% 8.40/6.59 tff(36501,plain,
% 8.40/6.59 ((v88(constB101, bitIndex0) | v88(constB101, bitIndex1) | v88(constB101, bitIndex2)) | (~v88(constB101, bitIndex1))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36502,plain,
% 8.40/6.59 (v88(constB101, bitIndex0) | v88(constB101, bitIndex1) | v88(constB101, bitIndex2)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36501, 26051])).
% 8.40/6.59 tff(36503,plain,
% 8.40/6.59 ((~(v139(constB101) <=> (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex1) | v88(constB101, bitIndex2))))) | (~v139(constB101)) | (~(v88(constB101, bitIndex0) | v88(constB101, bitIndex1) | v88(constB101, bitIndex2)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36504,plain,
% 8.40/6.59 (~v139(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36503, 36502, 36500])).
% 8.40/6.59 tff(36505,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB101) <=> (~(v88(constB101, bitIndex1) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36506,plain,
% 8.40/6.59 (v140(constB101) <=> (~(v88(constB101, bitIndex1) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36505, 12165])).
% 8.40/6.59 tff(36507,plain,
% 8.40/6.59 ((v88(constB101, bitIndex1) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0))) | (~v88(constB101, bitIndex1))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36508,plain,
% 8.40/6.59 (v88(constB101, bitIndex1) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36507, 26051])).
% 8.40/6.59 tff(36509,plain,
% 8.40/6.59 ((~(v140(constB101) <=> (~(v88(constB101, bitIndex1) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0)))))) | (~v140(constB101)) | (~(v88(constB101, bitIndex1) | v88(constB101, bitIndex2) | (~v88(constB101, bitIndex0))))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36510,plain,
% 8.40/6.59 (~v140(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36509, 36508, 36506])).
% 8.40/6.59 tff(36511,plain,
% 8.40/6.59 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB101) | v139(constB101) | (~v168(constB101)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB101) | v139(constB101) | (~v168(constB101)))),
% 8.40/6.59 inference(rewrite,[status(thm)],[])).
% 8.40/6.59 tff(36512,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB101) | v139(constB101) | (~v168(constB101)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36513,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB101) | v139(constB101) | (~v168(constB101))),
% 8.40/6.59 inference(modus_ponens,[status(thm)],[36512, 36511])).
% 8.40/6.59 tff(36514,plain,
% 8.40/6.59 (v140(constB101) | v139(constB101) | (~v168(constB101))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36513, 12184])).
% 8.40/6.59 tff(36515,plain,
% 8.40/6.59 (~v168(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36514, 36510, 36504])).
% 8.40/6.59 tff(36516,plain,
% 8.40/6.59 ((~(v161(constB101) <=> v168(constB101))) | (~v161(constB101)) | v168(constB101)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36517,plain,
% 8.40/6.59 ((~(v161(constB101) <=> v168(constB101))) | (~v161(constB101))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36516, 36515])).
% 8.40/6.59 tff(36518,plain,
% 8.40/6.59 (~v161(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36517, 36498])).
% 8.40/6.59 tff(36519,plain,
% 8.40/6.59 ((~(v159(constB101) <=> v161(constB101))) | (~v159(constB101)) | v161(constB101)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36520,plain,
% 8.40/6.59 ((~(v159(constB101) <=> v161(constB101))) | (~v159(constB101))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36519, 36518])).
% 8.40/6.59 tff(36521,plain,
% 8.40/6.59 (~v159(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36520, 36480])).
% 8.40/6.59 tff(36522,plain,
% 8.40/6.59 (((~v184(constB101)) | (~v159(constB101))) | v159(constB101)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36523,plain,
% 8.40/6.59 ((~v184(constB101)) | (~v159(constB101))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36522, 36521])).
% 8.40/6.59 tff(36524,plain,
% 8.40/6.59 ((~(v187(constB101) <=> (~((~v184(constB101)) | (~v159(constB101)))))) | (~v187(constB101)) | (~((~v184(constB101)) | (~v159(constB101))))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36525,plain,
% 8.40/6.59 (~v187(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36524, 36523, 36478])).
% 8.40/6.59 tff(36526,plain,
% 8.40/6.59 (((~v186(constB101)) | (~v187(constB101))) | v187(constB101)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36527,plain,
% 8.40/6.59 ((~v186(constB101)) | (~v187(constB101))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36526, 36525])).
% 8.40/6.59 tff(36528,plain,
% 8.40/6.59 ((~(v185(constB101) <=> (~((~v186(constB101)) | (~v187(constB101)))))) | (~v185(constB101)) | (~((~v186(constB101)) | (~v187(constB101))))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36529,plain,
% 8.40/6.59 (~v185(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36528, 36527, 36476])).
% 8.40/6.59 tff(36530,plain,
% 8.40/6.59 ((~(v181(constB101) | v185(constB101))) | v181(constB101) | v185(constB101)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36531,plain,
% 8.40/6.59 (~(v181(constB101) | v185(constB101))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36530, 36529, 36474])).
% 8.40/6.59 tff(36532,plain,
% 8.40/6.59 ((~(v178(constB101) <=> (v181(constB101) | v185(constB101)))) | (~v178(constB101)) | (v181(constB101) | v185(constB101))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36533,plain,
% 8.40/6.59 (~v178(constB101)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36532, 36531, 36401])).
% 8.40/6.59 tff(36534,plain,
% 8.40/6.59 ((~(v180(constB102) <=> v178(constB101))) | (~v180(constB102)) | v178(constB101)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36535,plain,
% 8.40/6.59 (~v180(constB102)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36534, 36533, 36399])).
% 8.40/6.59 tff(36536,plain,
% 8.40/6.59 ((~(v157(constB102) <=> v180(constB102))) | (~v157(constB102)) | v180(constB102)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36537,plain,
% 8.40/6.59 (~v157(constB102)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36536, 36535, 36395])).
% 8.40/6.59 tff(36538,plain,
% 8.40/6.59 (((~v157(constB102)) | (~v182(constB102))) | v157(constB102)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36539,plain,
% 8.40/6.59 ((~v157(constB102)) | (~v182(constB102))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36538, 36537])).
% 8.40/6.59 tff(36540,plain,
% 8.40/6.59 ((~(v181(constB102) <=> (~((~v157(constB102)) | (~v182(constB102)))))) | (~v181(constB102)) | (~((~v157(constB102)) | (~v182(constB102))))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36541,plain,
% 8.40/6.59 (~v181(constB102)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36540, 36539, 36393])).
% 8.40/6.59 tff(36542,plain,
% 8.40/6.59 ((~(v181(constB102) | v185(constB102))) | v181(constB102) | v185(constB102)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36543,plain,
% 8.40/6.59 (~(v181(constB102) | v185(constB102))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36542, 36541, 36386])).
% 8.40/6.59 tff(36544,plain,
% 8.40/6.59 ((~(v178(constB102) <=> (v181(constB102) | v185(constB102)))) | (~v178(constB102)) | (v181(constB102) | v185(constB102))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36545,plain,
% 8.40/6.59 (~v178(constB102)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36544, 36543, 36361])).
% 8.40/6.59 tff(36546,plain,
% 8.40/6.59 ((~(v180(constB103) <=> v178(constB102))) | (~v180(constB103)) | v178(constB102)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36547,plain,
% 8.40/6.59 (~v180(constB103)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36546, 36545, 36359])).
% 8.40/6.59 tff(36548,plain,
% 8.40/6.59 ($false),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36547, 36355])).
% 8.40/6.59 tff(36549,plain,(~(constB103 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.59 tff(36550,assumption,(constB151 = VarCurr!0), introduced(assumption)).
% 8.40/6.59 tff(36551,plain,
% 8.40/6.59 (v180(constB151) <=> v180(VarCurr!0)),
% 8.40/6.59 inference(monotonicity,[status(thm)],[36550])).
% 8.40/6.59 tff(36552,plain,
% 8.40/6.59 (v180(VarCurr!0) <=> v180(constB151)),
% 8.40/6.59 inference(symmetry,[status(thm)],[36551])).
% 8.40/6.59 tff(36553,plain,
% 8.40/6.59 (v180(constB151)),
% 8.40/6.59 inference(modus_ponens,[status(thm)],[59, 36552])).
% 8.40/6.59 tff(36554,plain,
% 8.40/6.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB150, constB151)) | (v180(constB151) <=> v178(constB150)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB150, constB151)) | (v180(constB151) <=> v178(constB150)))),
% 8.40/6.59 inference(rewrite,[status(thm)],[])).
% 8.40/6.59 tff(36555,plain,
% 8.40/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB150, constB151)) | (v180(constB151) <=> v178(constB150)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36556,plain,
% 8.40/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB150, constB151)) | (v180(constB151) <=> v178(constB150))),
% 8.40/6.59 inference(modus_ponens,[status(thm)],[36555, 36554])).
% 8.40/6.59 tff(36557,plain,
% 8.40/6.59 (v180(constB151) <=> v178(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36556, 13539, 70])).
% 8.40/6.59 tff(36558,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB150) <=> (v181(constB150) | v185(constB150)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36559,plain,
% 8.40/6.59 (v178(constB150) <=> (v181(constB150) | v185(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36558, 84])).
% 8.40/6.59 tff(36560,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB150) <=> (~((~v186(constB150)) | (~v187(constB150)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36561,plain,
% 8.40/6.59 (v185(constB150) <=> (~((~v186(constB150)) | (~v187(constB150))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36560, 96])).
% 8.40/6.59 tff(36562,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB150) <=> (~((~v184(constB150)) | (~v159(constB150)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36563,plain,
% 8.40/6.59 (v187(constB150) <=> (~((~v184(constB150)) | (~v159(constB150))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36562, 108])).
% 8.40/6.59 tff(36564,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36565,plain,
% 8.40/6.59 (v184(constB150) <=> (~((~v39(constB150)) | (~v9(constB150))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36564, 120])).
% 8.40/6.59 tff(36566,plain,
% 8.40/6.59 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB150)) <=> v1(constB150))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36567,plain,
% 8.40/6.59 ((~v39(constB150)) <=> v1(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36566, 129])).
% 8.40/6.59 tff(36568,plain,
% 8.40/6.59 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150)) | (~v1(constB150))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36569,plain,
% 8.40/6.59 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36568, 18698])).
% 8.40/6.59 tff(36570,plain,
% 8.40/6.59 (~v39(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36569, 36567])).
% 8.40/6.59 tff(36571,plain,
% 8.40/6.59 (((~v39(constB150)) | (~v9(constB150))) | v39(constB150)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36572,plain,
% 8.40/6.59 ((~v39(constB150)) | (~v9(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36571, 36570])).
% 8.40/6.59 tff(36573,plain,
% 8.40/6.59 ((~(v184(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v184(constB150)) | (~((~v39(constB150)) | (~v9(constB150))))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36574,plain,
% 8.40/6.59 ((~(v184(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v184(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36573, 36572])).
% 8.40/6.59 tff(36575,plain,
% 8.40/6.59 (~v184(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36574, 36565])).
% 8.40/6.59 tff(36576,plain,
% 8.40/6.59 (((~v184(constB150)) | (~v159(constB150))) | v184(constB150)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36577,plain,
% 8.40/6.59 ((~v184(constB150)) | (~v159(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36576, 36575])).
% 8.40/6.59 tff(36578,plain,
% 8.40/6.59 ((~(v187(constB150) <=> (~((~v184(constB150)) | (~v159(constB150)))))) | (~v187(constB150)) | (~((~v184(constB150)) | (~v159(constB150))))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36579,plain,
% 8.40/6.59 ((~(v187(constB150) <=> (~((~v184(constB150)) | (~v159(constB150)))))) | (~v187(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36578, 36577])).
% 8.40/6.59 tff(36580,plain,
% 8.40/6.59 (~v187(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36579, 36563])).
% 8.40/6.59 tff(36581,plain,
% 8.40/6.59 (((~v186(constB150)) | (~v187(constB150))) | v187(constB150)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36582,plain,
% 8.40/6.59 ((~v186(constB150)) | (~v187(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36581, 36580])).
% 8.40/6.59 tff(36583,plain,
% 8.40/6.59 ((~(v185(constB150) <=> (~((~v186(constB150)) | (~v187(constB150)))))) | (~v185(constB150)) | (~((~v186(constB150)) | (~v187(constB150))))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36584,plain,
% 8.40/6.59 (~v185(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36583, 36582, 36561])).
% 8.40/6.59 tff(36585,plain,
% 8.40/6.59 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150))))))),
% 8.40/6.59 inference(rewrite,[status(thm)],[])).
% 8.40/6.59 tff(36586,plain,
% 8.40/6.59 ((v181(constB150) <=> (~((~v182(constB150)) | (~v157(constB150))))) <=> (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150)))))),
% 8.40/6.59 inference(rewrite,[status(thm)],[])).
% 8.40/6.59 tff(36587,plain,
% 8.40/6.59 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v182(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150))))))),
% 8.40/6.59 inference(monotonicity,[status(thm)],[36586])).
% 8.40/6.59 tff(36588,plain,
% 8.40/6.59 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v182(constB150)) | (~v157(constB150)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150))))))),
% 8.40/6.59 inference(transitivity,[status(thm)],[36587, 36585])).
% 8.40/6.59 tff(36589,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v182(constB150)) | (~v157(constB150)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36590,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150)))))),
% 8.40/6.59 inference(modus_ponens,[status(thm)],[36589, 36588])).
% 8.40/6.59 tff(36591,plain,
% 8.40/6.59 (v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36590, 161])).
% 8.40/6.59 tff(36592,plain,
% 8.40/6.59 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB150) <=> v180(constB150))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36593,plain,
% 8.40/6.59 (v157(constB150) <=> v180(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36592, 13])).
% 8.40/6.59 tff(36594,plain,
% 8.40/6.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB149, constB150)) | (v180(constB150) <=> v178(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB149, constB150)) | (v180(constB150) <=> v178(constB149)))),
% 8.40/6.59 inference(rewrite,[status(thm)],[])).
% 8.40/6.59 tff(36595,plain,
% 8.40/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB149, constB150)) | (v180(constB150) <=> v178(constB149)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36596,plain,
% 8.40/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB149, constB150)) | (v180(constB150) <=> v178(constB149))),
% 8.40/6.59 inference(modus_ponens,[status(thm)],[36595, 36594])).
% 8.40/6.59 tff(36597,plain,
% 8.40/6.59 (v180(constB150) <=> v178(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36596, 13575, 70])).
% 8.40/6.59 tff(36598,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB149) <=> (v181(constB149) | v185(constB149)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36599,plain,
% 8.40/6.59 (v178(constB149) <=> (v181(constB149) | v185(constB149))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36598, 84])).
% 8.40/6.59 tff(36600,plain,
% 8.40/6.59 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149))))))),
% 8.40/6.59 inference(rewrite,[status(thm)],[])).
% 8.40/6.59 tff(36601,plain,
% 8.40/6.59 ((v181(constB149) <=> (~((~v182(constB149)) | (~v157(constB149))))) <=> (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149)))))),
% 8.40/6.59 inference(rewrite,[status(thm)],[])).
% 8.40/6.59 tff(36602,plain,
% 8.40/6.59 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v182(constB149)) | (~v157(constB149)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149))))))),
% 8.40/6.59 inference(monotonicity,[status(thm)],[36601])).
% 8.40/6.59 tff(36603,plain,
% 8.40/6.59 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v182(constB149)) | (~v157(constB149)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149))))))),
% 8.40/6.59 inference(transitivity,[status(thm)],[36602, 36600])).
% 8.40/6.59 tff(36604,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v182(constB149)) | (~v157(constB149)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36605,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149)))))),
% 8.40/6.59 inference(modus_ponens,[status(thm)],[36604, 36603])).
% 8.40/6.59 tff(36606,plain,
% 8.40/6.59 (v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36605, 161])).
% 8.40/6.59 tff(36607,plain,
% 8.40/6.59 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB149)) <=> v183(constB149))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36608,plain,
% 8.40/6.59 ((~v182(constB149)) <=> v183(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36607, 193])).
% 8.40/6.59 tff(36609,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB149) <=> (v184(constB149) | v26(constB149)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36610,plain,
% 8.40/6.59 (v183(constB149) <=> (v184(constB149) | v26(constB149))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36609, 202])).
% 8.40/6.59 tff(36611,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36612,plain,
% 8.40/6.59 (v184(constB149) <=> (~((~v39(constB149)) | (~v9(constB149))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36611, 120])).
% 8.40/6.59 tff(36613,plain,
% 8.40/6.59 (((~![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)))),
% 8.40/6.59 inference(rewrite,[status(thm)],[])).
% 8.40/6.59 tff(36614,plain,
% 8.40/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36615,plain,
% 8.40/6.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149))),
% 8.40/6.59 inference(modus_ponens,[status(thm)],[36614, 36613])).
% 8.40/6.59 tff(36616,plain,
% 8.40/6.59 (v13(constB150) <=> v9(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36615, 13575, 216])).
% 8.40/6.59 tff(36617,plain,
% 8.40/6.59 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB150) <=> v13(constB150))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36618,plain,
% 8.40/6.59 (v6(constB150) <=> v13(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36617, 230])).
% 8.40/6.59 tff(36619,plain,
% 8.40/6.59 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB150)) <=> v6(constB150))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36620,plain,
% 8.40/6.59 ((~v21(constB150)) <=> v6(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36619, 239])).
% 8.40/6.59 tff(36621,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB150) <=> (v20(constB150) | v21(constB150)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36622,plain,
% 8.40/6.59 (v19(constB150) <=> (v20(constB150) | v21(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36621, 248])).
% 8.40/6.59 tff(36623,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36624,plain,
% 8.40/6.59 (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36623, 260])).
% 8.40/6.59 tff(36625,plain,
% 8.40/6.59 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB150)) <=> v18(constB150))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36626,plain,
% 8.40/6.59 ((~v4(constB150)) <=> v18(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36625, 269])).
% 8.40/6.59 tff(36627,plain,
% 8.40/6.59 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB150)),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36628,plain,
% 8.40/6.59 (v4(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36627, 278])).
% 8.40/6.59 tff(36629,plain,
% 8.40/6.59 ((~((~v4(constB150)) <=> v18(constB150))) | (~v4(constB150)) | (~v18(constB150))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36630,plain,
% 8.40/6.59 (~v18(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36629, 36628, 36626])).
% 8.40/6.59 tff(36631,plain,
% 8.40/6.59 ((~(v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))) | v18(constB150) | ((~v19(constB150)) | (~v22(constB150)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36632,plain,
% 8.40/6.59 ((~v19(constB150)) | (~v22(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36631, 36630, 36624])).
% 8.40/6.59 tff(36633,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB150) <=> (v1(constB150) | v6(constB150)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36634,plain,
% 8.40/6.59 (v22(constB150) <=> (v1(constB150) | v6(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36633, 291])).
% 8.40/6.59 tff(36635,plain,
% 8.40/6.59 ((v1(constB150) | v6(constB150)) | (~v1(constB150))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36636,plain,
% 8.40/6.59 (v1(constB150) | v6(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36635, 18698])).
% 8.40/6.59 tff(36637,plain,
% 8.40/6.59 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150) | (~(v1(constB150) | v6(constB150)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36638,plain,
% 8.40/6.59 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36637, 36636])).
% 8.40/6.59 tff(36639,plain,
% 8.40/6.59 (v22(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36638, 36634])).
% 8.40/6.59 tff(36640,plain,
% 8.40/6.59 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150)) | (~v22(constB150))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36641,plain,
% 8.40/6.59 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36640, 36639])).
% 8.40/6.59 tff(36642,plain,
% 8.40/6.59 (~v19(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36641, 36632])).
% 8.40/6.59 tff(36643,plain,
% 8.40/6.59 ((~(v19(constB150) <=> (v20(constB150) | v21(constB150)))) | v19(constB150) | (~(v20(constB150) | v21(constB150)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36644,plain,
% 8.40/6.59 (~(v20(constB150) | v21(constB150))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36643, 36642, 36622])).
% 8.40/6.59 tff(36645,plain,
% 8.40/6.59 ((v20(constB150) | v21(constB150)) | (~v21(constB150))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36646,plain,
% 8.40/6.59 (~v21(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36645, 36644])).
% 8.40/6.59 tff(36647,plain,
% 8.40/6.59 ((~((~v21(constB150)) <=> v6(constB150))) | v21(constB150) | v6(constB150)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36648,plain,
% 8.40/6.59 (v6(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36647, 36646, 36620])).
% 8.40/6.59 tff(36649,plain,
% 8.40/6.59 ((~(v6(constB150) <=> v13(constB150))) | (~v6(constB150)) | v13(constB150)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36650,plain,
% 8.40/6.59 (v13(constB150)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36649, 36648, 36618])).
% 8.40/6.59 tff(36651,plain,
% 8.40/6.59 ((~(v13(constB150) <=> v9(constB149))) | (~v13(constB150)) | v9(constB149)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36652,plain,
% 8.40/6.59 (v9(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36651, 36650, 36616])).
% 8.40/6.59 tff(36653,plain,
% 8.40/6.59 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB149)) <=> v1(constB149))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36654,plain,
% 8.40/6.59 ((~v39(constB149)) <=> v1(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36653, 129])).
% 8.40/6.59 tff(36655,plain,
% 8.40/6.59 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149) | v1(constB149)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36656,plain,
% 8.40/6.59 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36655, 13619])).
% 8.40/6.59 tff(36657,plain,
% 8.40/6.59 (v39(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36656, 36654])).
% 8.40/6.59 tff(36658,plain,
% 8.40/6.59 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v39(constB149)) | (~v9(constB149))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36659,plain,
% 8.40/6.59 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v9(constB149))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36658, 36657])).
% 8.40/6.59 tff(36660,plain,
% 8.40/6.59 (~((~v39(constB149)) | (~v9(constB149)))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36659, 36652])).
% 8.40/6.59 tff(36661,plain,
% 8.40/6.59 ((~(v184(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))) | v184(constB149) | ((~v39(constB149)) | (~v9(constB149)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36662,plain,
% 8.40/6.59 (v184(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36661, 36660, 36612])).
% 8.40/6.59 tff(36663,plain,
% 8.40/6.59 ((v184(constB149) | v26(constB149)) | (~v184(constB149))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36664,plain,
% 8.40/6.59 (v184(constB149) | v26(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36663, 36662])).
% 8.40/6.59 tff(36665,plain,
% 8.40/6.59 ((~(v183(constB149) <=> (v184(constB149) | v26(constB149)))) | v183(constB149) | (~(v184(constB149) | v26(constB149)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36666,plain,
% 8.40/6.59 (v183(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36665, 36664, 36610])).
% 8.40/6.59 tff(36667,plain,
% 8.40/6.59 ((~((~v182(constB149)) <=> v183(constB149))) | (~v182(constB149)) | (~v183(constB149))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36668,plain,
% 8.40/6.59 (~v182(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36667, 36666, 36608])).
% 8.40/6.59 tff(36669,plain,
% 8.40/6.59 (((~v157(constB149)) | (~v182(constB149))) | v182(constB149)),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36670,plain,
% 8.40/6.59 ((~v157(constB149)) | (~v182(constB149))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36669, 36668])).
% 8.40/6.59 tff(36671,plain,
% 8.40/6.59 ((~(v181(constB149) <=> (~((~v157(constB149)) | (~v182(constB149)))))) | (~v181(constB149)) | (~((~v157(constB149)) | (~v182(constB149))))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36672,plain,
% 8.40/6.59 (~v181(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36671, 36670, 36606])).
% 8.40/6.59 tff(36673,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB149) <=> (~((~v186(constB149)) | (~v187(constB149)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36674,plain,
% 8.40/6.59 (v185(constB149) <=> (~((~v186(constB149)) | (~v187(constB149))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36673, 96])).
% 8.40/6.59 tff(36675,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB149) <=> (~((~v184(constB149)) | (~v159(constB149)))))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36676,plain,
% 8.40/6.59 (v187(constB149) <=> (~((~v184(constB149)) | (~v159(constB149))))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36675, 108])).
% 8.40/6.59 tff(36677,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB149) <=> v161(constB149))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36678,plain,
% 8.40/6.59 (v159(constB149) <=> v161(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36677, 345])).
% 8.40/6.59 tff(36679,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB149) <=> (v145(constB149) | v165(constB149)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36680,plain,
% 8.40/6.59 (v164(constB149) <=> (v145(constB149) | v165(constB149))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36679, 357])).
% 8.40/6.59 tff(36681,plain,
% 8.40/6.59 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB149) <=> (v142(constB149) | v166(constB149)))),
% 8.40/6.59 inference(quant_inst,[status(thm)],[])).
% 8.40/6.59 tff(36682,plain,
% 8.40/6.59 (v165(constB149) <=> (v142(constB149) | v166(constB149))),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36681, 369])).
% 8.40/6.59 tff(36683,plain,
% 8.40/6.59 ((v142(constB149) | v166(constB149)) | (~v142(constB149))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36684,plain,
% 8.40/6.59 (v142(constB149) | v166(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36683, 30406])).
% 8.40/6.59 tff(36685,plain,
% 8.40/6.59 ((~(v165(constB149) <=> (v142(constB149) | v166(constB149)))) | v165(constB149) | (~(v142(constB149) | v166(constB149)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36686,plain,
% 8.40/6.59 ((~(v165(constB149) <=> (v142(constB149) | v166(constB149)))) | v165(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36685, 36684])).
% 8.40/6.59 tff(36687,plain,
% 8.40/6.59 (v165(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36686, 36682])).
% 8.40/6.59 tff(36688,plain,
% 8.40/6.59 ((v145(constB149) | v165(constB149)) | (~v165(constB149))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36689,plain,
% 8.40/6.59 (v145(constB149) | v165(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36688, 36687])).
% 8.40/6.59 tff(36690,plain,
% 8.40/6.59 ((~(v164(constB149) <=> (v145(constB149) | v165(constB149)))) | v164(constB149) | (~(v145(constB149) | v165(constB149)))),
% 8.40/6.59 inference(tautology,[status(thm)],[])).
% 8.40/6.59 tff(36691,plain,
% 8.40/6.59 (v164(constB149)),
% 8.40/6.59 inference(unit_resolution,[status(thm)],[36690, 36689, 36680])).
% 8.40/6.59 tff(36692,plain,
% 8.40/6.59 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB149)) | (v161(constB149) <=> v168(constB149)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB149)) | (v161(constB149) <=> v168(constB149)))),
% 8.40/6.59 inference(rewrite,[status(thm)],[])).
% 8.40/6.59 tff(36693,plain,
% 8.40/6.59 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB149)) | (v161(constB149) <=> v168(constB149)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36694,plain,
% 8.40/6.60 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB149)) | (v161(constB149) <=> v168(constB149))),
% 8.40/6.60 inference(modus_ponens,[status(thm)],[36693, 36692])).
% 8.40/6.60 tff(36695,plain,
% 8.40/6.60 ((~v164(constB149)) | (v161(constB149) <=> v168(constB149))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36694, 12128])).
% 8.40/6.60 tff(36696,plain,
% 8.40/6.60 (v161(constB149) <=> v168(constB149)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36695, 36691])).
% 8.40/6.60 tff(36697,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36698,plain,
% 8.40/6.60 (v139(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2)))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36697, 12146])).
% 8.40/6.60 tff(36699,plain,
% 8.40/6.60 ((v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2)) | (~v88(constB149, bitIndex1))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36700,plain,
% 8.40/6.60 (v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36699, 30398])).
% 8.40/6.60 tff(36701,plain,
% 8.40/6.60 ((~(v139(constB149) <=> (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2))))) | (~v139(constB149)) | (~(v88(constB149, bitIndex0) | v88(constB149, bitIndex1) | v88(constB149, bitIndex2)))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36702,plain,
% 8.40/6.60 (~v139(constB149)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36701, 36700, 36698])).
% 8.40/6.60 tff(36703,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB149) <=> (~(v88(constB149, bitIndex1) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex0)))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36704,plain,
% 8.40/6.60 (v140(constB149) <=> (~(v88(constB149, bitIndex1) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex0))))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36703, 12165])).
% 8.40/6.60 tff(36705,plain,
% 8.40/6.60 ((v88(constB149, bitIndex1) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex0))) | (~v88(constB149, bitIndex1))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36706,plain,
% 8.40/6.60 (v88(constB149, bitIndex1) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex0))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36705, 30398])).
% 8.40/6.60 tff(36707,plain,
% 8.40/6.60 ((~(v140(constB149) <=> (~(v88(constB149, bitIndex1) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex0)))))) | (~v140(constB149)) | (~(v88(constB149, bitIndex1) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex0))))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36708,plain,
% 8.40/6.60 (~v140(constB149)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36707, 36706, 36704])).
% 8.40/6.60 tff(36709,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB149) | v140(constB149) | (~v168(constB149)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB149) | v140(constB149) | (~v168(constB149)))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36710,plain,
% 8.40/6.60 ((v140(constB149) | v139(constB149) | (~v168(constB149))) <=> (v139(constB149) | v140(constB149) | (~v168(constB149)))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36711,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v168(constB149)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB149) | v140(constB149) | (~v168(constB149))))),
% 8.40/6.60 inference(monotonicity,[status(thm)],[36710])).
% 8.40/6.60 tff(36712,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v168(constB149)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB149) | v140(constB149) | (~v168(constB149)))),
% 8.40/6.60 inference(transitivity,[status(thm)],[36711, 36709])).
% 8.40/6.60 tff(36713,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v168(constB149)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36714,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB149) | v140(constB149) | (~v168(constB149))),
% 8.40/6.60 inference(modus_ponens,[status(thm)],[36713, 36712])).
% 8.40/6.60 tff(36715,plain,
% 8.40/6.60 (v139(constB149) | v140(constB149) | (~v168(constB149))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36714, 12184])).
% 8.40/6.60 tff(36716,plain,
% 8.40/6.60 (~v168(constB149)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36715, 36708, 36702])).
% 8.40/6.60 tff(36717,plain,
% 8.40/6.60 ((~(v161(constB149) <=> v168(constB149))) | (~v161(constB149)) | v168(constB149)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36718,plain,
% 8.40/6.60 ((~(v161(constB149) <=> v168(constB149))) | (~v161(constB149))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36717, 36716])).
% 8.40/6.60 tff(36719,plain,
% 8.40/6.60 (~v161(constB149)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36718, 36696])).
% 8.40/6.60 tff(36720,plain,
% 8.40/6.60 ((~(v159(constB149) <=> v161(constB149))) | (~v159(constB149)) | v161(constB149)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36721,plain,
% 8.40/6.60 ((~(v159(constB149) <=> v161(constB149))) | (~v159(constB149))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36720, 36719])).
% 8.40/6.60 tff(36722,plain,
% 8.40/6.60 (~v159(constB149)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36721, 36678])).
% 8.40/6.60 tff(36723,plain,
% 8.40/6.60 (((~v184(constB149)) | (~v159(constB149))) | v159(constB149)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36724,plain,
% 8.40/6.60 ((~v184(constB149)) | (~v159(constB149))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36723, 36722])).
% 8.40/6.60 tff(36725,plain,
% 8.40/6.60 ((~(v187(constB149) <=> (~((~v184(constB149)) | (~v159(constB149)))))) | (~v187(constB149)) | (~((~v184(constB149)) | (~v159(constB149))))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36726,plain,
% 8.40/6.60 (~v187(constB149)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36725, 36724, 36676])).
% 8.40/6.60 tff(36727,plain,
% 8.40/6.60 (((~v186(constB149)) | (~v187(constB149))) | v187(constB149)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36728,plain,
% 8.40/6.60 ((~v186(constB149)) | (~v187(constB149))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36727, 36726])).
% 8.40/6.60 tff(36729,plain,
% 8.40/6.60 ((~(v185(constB149) <=> (~((~v186(constB149)) | (~v187(constB149)))))) | (~v185(constB149)) | (~((~v186(constB149)) | (~v187(constB149))))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36730,plain,
% 8.40/6.60 (~v185(constB149)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36729, 36728, 36674])).
% 8.40/6.60 tff(36731,plain,
% 8.40/6.60 ((~(v181(constB149) | v185(constB149))) | v181(constB149) | v185(constB149)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36732,plain,
% 8.40/6.60 (~(v181(constB149) | v185(constB149))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36731, 36730, 36672])).
% 8.40/6.60 tff(36733,plain,
% 8.40/6.60 ((~(v178(constB149) <=> (v181(constB149) | v185(constB149)))) | (~v178(constB149)) | (v181(constB149) | v185(constB149))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36734,plain,
% 8.40/6.60 (~v178(constB149)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36733, 36732, 36599])).
% 8.40/6.60 tff(36735,plain,
% 8.40/6.60 ((~(v180(constB150) <=> v178(constB149))) | (~v180(constB150)) | v178(constB149)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36736,plain,
% 8.40/6.60 (~v180(constB150)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36735, 36734, 36597])).
% 8.40/6.60 tff(36737,plain,
% 8.40/6.60 ((~(v157(constB150) <=> v180(constB150))) | (~v157(constB150)) | v180(constB150)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36738,plain,
% 8.40/6.60 (~v157(constB150)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36737, 36736, 36593])).
% 8.40/6.60 tff(36739,plain,
% 8.40/6.60 (((~v157(constB150)) | (~v182(constB150))) | v157(constB150)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36740,plain,
% 8.40/6.60 ((~v157(constB150)) | (~v182(constB150))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36739, 36738])).
% 8.40/6.60 tff(36741,plain,
% 8.40/6.60 ((~(v181(constB150) <=> (~((~v157(constB150)) | (~v182(constB150)))))) | (~v181(constB150)) | (~((~v157(constB150)) | (~v182(constB150))))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36742,plain,
% 8.40/6.60 (~v181(constB150)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36741, 36740, 36591])).
% 8.40/6.60 tff(36743,plain,
% 8.40/6.60 ((~(v181(constB150) | v185(constB150))) | v181(constB150) | v185(constB150)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36744,plain,
% 8.40/6.60 (~(v181(constB150) | v185(constB150))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36743, 36742, 36584])).
% 8.40/6.60 tff(36745,plain,
% 8.40/6.60 ((~(v178(constB150) <=> (v181(constB150) | v185(constB150)))) | (~v178(constB150)) | (v181(constB150) | v185(constB150))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36746,plain,
% 8.40/6.60 (~v178(constB150)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36745, 36744, 36559])).
% 8.40/6.60 tff(36747,plain,
% 8.40/6.60 ((~(v180(constB151) <=> v178(constB150))) | (~v180(constB151)) | v178(constB150)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36748,plain,
% 8.40/6.60 (~v180(constB151)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36747, 36746, 36557])).
% 8.40/6.60 tff(36749,plain,
% 8.40/6.60 ($false),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36748, 36553])).
% 8.40/6.60 tff(36750,plain,(~(constB151 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.60 tff(36751,assumption,(constB107 = VarCurr!0), introduced(assumption)).
% 8.40/6.60 tff(36752,plain,
% 8.40/6.60 (v180(constB107) <=> v180(VarCurr!0)),
% 8.40/6.60 inference(monotonicity,[status(thm)],[36751])).
% 8.40/6.60 tff(36753,plain,
% 8.40/6.60 (v180(VarCurr!0) <=> v180(constB107)),
% 8.40/6.60 inference(symmetry,[status(thm)],[36752])).
% 8.40/6.60 tff(36754,plain,
% 8.40/6.60 (v180(constB107)),
% 8.40/6.60 inference(modus_ponens,[status(thm)],[59, 36753])).
% 8.40/6.60 tff(36755,plain,
% 8.40/6.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB106, constB107)) | (v180(constB107) <=> v178(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB106, constB107)) | (v180(constB107) <=> v178(constB106)))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36756,plain,
% 8.40/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB106, constB107)) | (v180(constB107) <=> v178(constB106)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36757,plain,
% 8.40/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB106, constB107)) | (v180(constB107) <=> v178(constB106))),
% 8.40/6.60 inference(modus_ponens,[status(thm)],[36756, 36755])).
% 8.40/6.60 tff(36758,plain,
% 8.40/6.60 (v180(constB107) <=> v178(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36757, 14951, 70])).
% 8.40/6.60 tff(36759,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB106) <=> (v181(constB106) | v185(constB106)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36760,plain,
% 8.40/6.60 (v178(constB106) <=> (v181(constB106) | v185(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36759, 84])).
% 8.40/6.60 tff(36761,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB106) <=> (~((~v186(constB106)) | (~v187(constB106)))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36762,plain,
% 8.40/6.60 (v185(constB106) <=> (~((~v186(constB106)) | (~v187(constB106))))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36761, 96])).
% 8.40/6.60 tff(36763,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB106) <=> (~((~v184(constB106)) | (~v159(constB106)))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36764,plain,
% 8.40/6.60 (v187(constB106) <=> (~((~v184(constB106)) | (~v159(constB106))))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36763, 108])).
% 8.40/6.60 tff(36765,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36766,plain,
% 8.40/6.60 (v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106))))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36765, 120])).
% 8.40/6.60 tff(36767,plain,
% 8.40/6.60 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB106)) <=> v1(constB106))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36768,plain,
% 8.40/6.60 ((~v39(constB106)) <=> v1(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36767, 129])).
% 8.40/6.60 tff(36769,plain,
% 8.40/6.60 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106)) | (~v1(constB106))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36770,plain,
% 8.40/6.60 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36769, 15259])).
% 8.40/6.60 tff(36771,plain,
% 8.40/6.60 (~v39(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36770, 36768])).
% 8.40/6.60 tff(36772,plain,
% 8.40/6.60 (((~v39(constB106)) | (~v9(constB106))) | v39(constB106)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36773,plain,
% 8.40/6.60 ((~v39(constB106)) | (~v9(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36772, 36771])).
% 8.40/6.60 tff(36774,plain,
% 8.40/6.60 ((~(v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v184(constB106)) | (~((~v39(constB106)) | (~v9(constB106))))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36775,plain,
% 8.40/6.60 ((~(v184(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v184(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36774, 36773])).
% 8.40/6.60 tff(36776,plain,
% 8.40/6.60 (~v184(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36775, 36766])).
% 8.40/6.60 tff(36777,plain,
% 8.40/6.60 (((~v184(constB106)) | (~v159(constB106))) | v184(constB106)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36778,plain,
% 8.40/6.60 ((~v184(constB106)) | (~v159(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36777, 36776])).
% 8.40/6.60 tff(36779,plain,
% 8.40/6.60 ((~(v187(constB106) <=> (~((~v184(constB106)) | (~v159(constB106)))))) | (~v187(constB106)) | (~((~v184(constB106)) | (~v159(constB106))))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36780,plain,
% 8.40/6.60 ((~(v187(constB106) <=> (~((~v184(constB106)) | (~v159(constB106)))))) | (~v187(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36779, 36778])).
% 8.40/6.60 tff(36781,plain,
% 8.40/6.60 (~v187(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36780, 36764])).
% 8.40/6.60 tff(36782,plain,
% 8.40/6.60 (((~v186(constB106)) | (~v187(constB106))) | v187(constB106)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36783,plain,
% 8.40/6.60 ((~v186(constB106)) | (~v187(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36782, 36781])).
% 8.40/6.60 tff(36784,plain,
% 8.40/6.60 ((~(v185(constB106) <=> (~((~v186(constB106)) | (~v187(constB106)))))) | (~v185(constB106)) | (~((~v186(constB106)) | (~v187(constB106))))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36785,plain,
% 8.40/6.60 (~v185(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36784, 36783, 36762])).
% 8.40/6.60 tff(36786,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106))))))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36787,plain,
% 8.40/6.60 ((v181(constB106) <=> (~((~v182(constB106)) | (~v157(constB106))))) <=> (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106)))))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36788,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v182(constB106)) | (~v157(constB106)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106))))))),
% 8.40/6.60 inference(monotonicity,[status(thm)],[36787])).
% 8.40/6.60 tff(36789,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v182(constB106)) | (~v157(constB106)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106))))))),
% 8.40/6.60 inference(transitivity,[status(thm)],[36788, 36786])).
% 8.40/6.60 tff(36790,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v182(constB106)) | (~v157(constB106)))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36791,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106)))))),
% 8.40/6.60 inference(modus_ponens,[status(thm)],[36790, 36789])).
% 8.40/6.60 tff(36792,plain,
% 8.40/6.60 (v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106))))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36791, 161])).
% 8.40/6.60 tff(36793,plain,
% 8.40/6.60 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB106) <=> v180(constB106))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36794,plain,
% 8.40/6.60 (v157(constB106) <=> v180(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36793, 13])).
% 8.40/6.60 tff(36795,plain,
% 8.40/6.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB105, constB106)) | (v180(constB106) <=> v178(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB105, constB106)) | (v180(constB106) <=> v178(constB105)))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36796,plain,
% 8.40/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB105, constB106)) | (v180(constB106) <=> v178(constB105)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36797,plain,
% 8.40/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB105, constB106)) | (v180(constB106) <=> v178(constB105))),
% 8.40/6.60 inference(modus_ponens,[status(thm)],[36796, 36795])).
% 8.40/6.60 tff(36798,plain,
% 8.40/6.60 (v180(constB106) <=> v178(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36797, 14987, 70])).
% 8.40/6.60 tff(36799,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB105) <=> (v181(constB105) | v185(constB105)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36800,plain,
% 8.40/6.60 (v178(constB105) <=> (v181(constB105) | v185(constB105))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36799, 84])).
% 8.40/6.60 tff(36801,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105))))))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36802,plain,
% 8.40/6.60 ((v181(constB105) <=> (~((~v182(constB105)) | (~v157(constB105))))) <=> (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105)))))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36803,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v182(constB105)) | (~v157(constB105)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105))))))),
% 8.40/6.60 inference(monotonicity,[status(thm)],[36802])).
% 8.40/6.60 tff(36804,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v182(constB105)) | (~v157(constB105)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105))))))),
% 8.40/6.60 inference(transitivity,[status(thm)],[36803, 36801])).
% 8.40/6.60 tff(36805,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v182(constB105)) | (~v157(constB105)))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36806,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105)))))),
% 8.40/6.60 inference(modus_ponens,[status(thm)],[36805, 36804])).
% 8.40/6.60 tff(36807,plain,
% 8.40/6.60 (v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105))))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36806, 161])).
% 8.40/6.60 tff(36808,plain,
% 8.40/6.60 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB105)) <=> v183(constB105))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36809,plain,
% 8.40/6.60 ((~v182(constB105)) <=> v183(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36808, 193])).
% 8.40/6.60 tff(36810,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB105) <=> (v184(constB105) | v26(constB105)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36811,plain,
% 8.40/6.60 (v183(constB105) <=> (v184(constB105) | v26(constB105))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36810, 202])).
% 8.40/6.60 tff(36812,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36813,plain,
% 8.40/6.60 (v184(constB105) <=> (~((~v39(constB105)) | (~v9(constB105))))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36812, 120])).
% 8.40/6.60 tff(36814,plain,
% 8.40/6.60 (((~![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)))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36815,plain,
% 8.40/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36816,plain,
% 8.40/6.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105))),
% 8.40/6.60 inference(modus_ponens,[status(thm)],[36815, 36814])).
% 8.40/6.60 tff(36817,plain,
% 8.40/6.60 (v13(constB106) <=> v9(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36816, 14987, 216])).
% 8.40/6.60 tff(36818,plain,
% 8.40/6.60 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB106) <=> v13(constB106))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36819,plain,
% 8.40/6.60 (v6(constB106) <=> v13(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36818, 230])).
% 8.40/6.60 tff(36820,plain,
% 8.40/6.60 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB106)) <=> v6(constB106))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36821,plain,
% 8.40/6.60 ((~v21(constB106)) <=> v6(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36820, 239])).
% 8.40/6.60 tff(36822,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB106) <=> (v20(constB106) | v21(constB106)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36823,plain,
% 8.40/6.60 (v19(constB106) <=> (v20(constB106) | v21(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36822, 248])).
% 8.40/6.60 tff(36824,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36825,plain,
% 8.40/6.60 (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106))))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36824, 260])).
% 8.40/6.60 tff(36826,plain,
% 8.40/6.60 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB106)) <=> v18(constB106))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36827,plain,
% 8.40/6.60 ((~v4(constB106)) <=> v18(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36826, 269])).
% 8.40/6.60 tff(36828,plain,
% 8.40/6.60 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB106)),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36829,plain,
% 8.40/6.60 (v4(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36828, 278])).
% 8.40/6.60 tff(36830,plain,
% 8.40/6.60 ((~((~v4(constB106)) <=> v18(constB106))) | (~v4(constB106)) | (~v18(constB106))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36831,plain,
% 8.40/6.60 (~v18(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36830, 36829, 36827])).
% 8.40/6.60 tff(36832,plain,
% 8.40/6.60 ((~(v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))) | v18(constB106) | ((~v19(constB106)) | (~v22(constB106)))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36833,plain,
% 8.40/6.60 ((~v19(constB106)) | (~v22(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36832, 36831, 36825])).
% 8.40/6.60 tff(36834,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB106) <=> (v1(constB106) | v6(constB106)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36835,plain,
% 8.40/6.60 (v22(constB106) <=> (v1(constB106) | v6(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36834, 291])).
% 8.40/6.60 tff(36836,plain,
% 8.40/6.60 ((v1(constB106) | v6(constB106)) | (~v1(constB106))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36837,plain,
% 8.40/6.60 (v1(constB106) | v6(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36836, 15259])).
% 8.40/6.60 tff(36838,plain,
% 8.40/6.60 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106) | (~(v1(constB106) | v6(constB106)))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36839,plain,
% 8.40/6.60 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36838, 36837])).
% 8.40/6.60 tff(36840,plain,
% 8.40/6.60 (v22(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36839, 36835])).
% 8.40/6.60 tff(36841,plain,
% 8.40/6.60 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106)) | (~v22(constB106))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36842,plain,
% 8.40/6.60 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36841, 36840])).
% 8.40/6.60 tff(36843,plain,
% 8.40/6.60 (~v19(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36842, 36833])).
% 8.40/6.60 tff(36844,plain,
% 8.40/6.60 ((~(v19(constB106) <=> (v20(constB106) | v21(constB106)))) | v19(constB106) | (~(v20(constB106) | v21(constB106)))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36845,plain,
% 8.40/6.60 (~(v20(constB106) | v21(constB106))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36844, 36843, 36823])).
% 8.40/6.60 tff(36846,plain,
% 8.40/6.60 ((v20(constB106) | v21(constB106)) | (~v21(constB106))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36847,plain,
% 8.40/6.60 (~v21(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36846, 36845])).
% 8.40/6.60 tff(36848,plain,
% 8.40/6.60 ((~((~v21(constB106)) <=> v6(constB106))) | v21(constB106) | v6(constB106)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36849,plain,
% 8.40/6.60 (v6(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36848, 36847, 36821])).
% 8.40/6.60 tff(36850,plain,
% 8.40/6.60 ((~(v6(constB106) <=> v13(constB106))) | (~v6(constB106)) | v13(constB106)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36851,plain,
% 8.40/6.60 (v13(constB106)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36850, 36849, 36819])).
% 8.40/6.60 tff(36852,plain,
% 8.40/6.60 ((~(v13(constB106) <=> v9(constB105))) | (~v13(constB106)) | v9(constB105)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36853,plain,
% 8.40/6.60 (v9(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36852, 36851, 36817])).
% 8.40/6.60 tff(36854,plain,
% 8.40/6.60 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB105)) <=> v1(constB105))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36855,plain,
% 8.40/6.60 ((~v39(constB105)) <=> v1(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36854, 129])).
% 8.40/6.60 tff(36856,plain,
% 8.40/6.60 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105) | v1(constB105)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36857,plain,
% 8.40/6.60 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36856, 15028])).
% 8.40/6.60 tff(36858,plain,
% 8.40/6.60 (v39(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36857, 36855])).
% 8.40/6.60 tff(36859,plain,
% 8.40/6.60 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v39(constB105)) | (~v9(constB105))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36860,plain,
% 8.40/6.60 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v9(constB105))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36859, 36858])).
% 8.40/6.60 tff(36861,plain,
% 8.40/6.60 (~((~v39(constB105)) | (~v9(constB105)))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36860, 36853])).
% 8.40/6.60 tff(36862,plain,
% 8.40/6.60 ((~(v184(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))) | v184(constB105) | ((~v39(constB105)) | (~v9(constB105)))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36863,plain,
% 8.40/6.60 (v184(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36862, 36861, 36813])).
% 8.40/6.60 tff(36864,plain,
% 8.40/6.60 ((v184(constB105) | v26(constB105)) | (~v184(constB105))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36865,plain,
% 8.40/6.60 (v184(constB105) | v26(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36864, 36863])).
% 8.40/6.60 tff(36866,plain,
% 8.40/6.60 ((~(v183(constB105) <=> (v184(constB105) | v26(constB105)))) | v183(constB105) | (~(v184(constB105) | v26(constB105)))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36867,plain,
% 8.40/6.60 (v183(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36866, 36865, 36811])).
% 8.40/6.60 tff(36868,plain,
% 8.40/6.60 ((~((~v182(constB105)) <=> v183(constB105))) | (~v182(constB105)) | (~v183(constB105))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36869,plain,
% 8.40/6.60 (~v182(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36868, 36867, 36809])).
% 8.40/6.60 tff(36870,plain,
% 8.40/6.60 (((~v157(constB105)) | (~v182(constB105))) | v182(constB105)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36871,plain,
% 8.40/6.60 ((~v157(constB105)) | (~v182(constB105))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36870, 36869])).
% 8.40/6.60 tff(36872,plain,
% 8.40/6.60 ((~(v181(constB105) <=> (~((~v157(constB105)) | (~v182(constB105)))))) | (~v181(constB105)) | (~((~v157(constB105)) | (~v182(constB105))))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36873,plain,
% 8.40/6.60 (~v181(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36872, 36871, 36807])).
% 8.40/6.60 tff(36874,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB105) <=> (~((~v186(constB105)) | (~v187(constB105)))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36875,plain,
% 8.40/6.60 (v185(constB105) <=> (~((~v186(constB105)) | (~v187(constB105))))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36874, 96])).
% 8.40/6.60 tff(36876,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB105) <=> (~((~v184(constB105)) | (~v159(constB105)))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36877,plain,
% 8.40/6.60 (v187(constB105) <=> (~((~v184(constB105)) | (~v159(constB105))))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36876, 108])).
% 8.40/6.60 tff(36878,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB105) <=> v161(constB105))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36879,plain,
% 8.40/6.60 (v159(constB105) <=> v161(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36878, 345])).
% 8.40/6.60 tff(36880,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB105) <=> (v145(constB105) | v165(constB105)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36881,plain,
% 8.40/6.60 (v164(constB105) <=> (v145(constB105) | v165(constB105))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36880, 357])).
% 8.40/6.60 tff(36882,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB105) <=> (v146(constB105) | v147(constB105)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36883,plain,
% 8.40/6.60 (v145(constB105) <=> (v146(constB105) | v147(constB105))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36882, 24729])).
% 8.40/6.60 tff(36884,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0)))))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36885,plain,
% 8.40/6.60 ((v146(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2))))) <=> (v146(constB105) <=> (~(v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36886,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0)))))),
% 8.40/6.60 inference(monotonicity,[status(thm)],[36885])).
% 8.40/6.60 tff(36887,plain,
% 8.40/6.60 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0)))))),
% 8.40/6.60 inference(transitivity,[status(thm)],[36886, 36884])).
% 8.40/6.60 tff(36888,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36889,plain,
% 8.40/6.60 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB105) <=> (~(v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))))),
% 8.40/6.60 inference(modus_ponens,[status(thm)],[36888, 36887])).
% 8.40/6.60 tff(36890,plain,
% 8.40/6.60 (v146(constB105) <=> (~(v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0)))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36889, 24744])).
% 8.40/6.60 tff(36891,plain,
% 8.40/6.60 ((~![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))))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36892,plain,
% 8.40/6.60 (~(((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)) | ((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)) | ((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0)))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36891, 416])).
% 8.40/6.60 tff(36893,plain,
% 8.40/6.60 ((((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)) | ((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)) | ((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0))) | (~((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36894,plain,
% 8.40/6.60 (~((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36893, 36892])).
% 8.40/6.60 tff(36895,plain,
% 8.40/6.60 (((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)) | v88(constB105, bitIndex2) | (~v90(constB105, bitIndex2))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36896,plain,
% 8.40/6.60 (v88(constB105, bitIndex2)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36895, 15181, 36894])).
% 8.40/6.60 tff(36897,plain,
% 8.40/6.60 ((((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)) | ((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)) | ((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0))) | (~((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0)))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36898,plain,
% 8.40/6.60 (~((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36897, 36892])).
% 8.40/6.60 tff(36899,plain,
% 8.40/6.60 (((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0)) | (~v88(constB105, bitIndex0)) | v90(constB105, bitIndex0)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36900,plain,
% 8.40/6.60 (~v88(constB105, bitIndex0)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36899, 15199, 36898])).
% 8.40/6.60 tff(36901,plain,
% 8.40/6.60 ((((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)) | ((~v88(constB105, bitIndex2)) <=> v90(constB105, bitIndex2)) | ((~v88(constB105, bitIndex0)) <=> v90(constB105, bitIndex0))) | (~((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36902,plain,
% 8.40/6.60 (~((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36901, 36892])).
% 8.40/6.60 tff(36903,plain,
% 8.40/6.60 (((~v88(constB105, bitIndex1)) <=> v90(constB105, bitIndex1)) | (~v88(constB105, bitIndex1)) | v90(constB105, bitIndex1)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36904,plain,
% 8.40/6.60 (~v88(constB105, bitIndex1)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36903, 15217, 36902])).
% 8.40/6.60 tff(36905,plain,
% 8.40/6.60 ((~(v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))) | v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0)),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36906,plain,
% 8.40/6.60 (~(v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36905, 36904, 36900, 36896])).
% 8.40/6.60 tff(36907,plain,
% 8.40/6.60 ((~(v146(constB105) <=> (~(v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))))) | v146(constB105) | (v88(constB105, bitIndex1) | (~v88(constB105, bitIndex2)) | v88(constB105, bitIndex0))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36908,plain,
% 8.40/6.60 (v146(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36907, 36906, 36890])).
% 8.40/6.60 tff(36909,plain,
% 8.40/6.60 ((v146(constB105) | v147(constB105)) | (~v146(constB105))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36910,plain,
% 8.40/6.60 (v146(constB105) | v147(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36909, 36908])).
% 8.40/6.60 tff(36911,plain,
% 8.40/6.60 ((~(v145(constB105) <=> (v146(constB105) | v147(constB105)))) | v145(constB105) | (~(v146(constB105) | v147(constB105)))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36912,plain,
% 8.40/6.60 (v145(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36911, 36910, 36883])).
% 8.40/6.60 tff(36913,plain,
% 8.40/6.60 ((v145(constB105) | v165(constB105)) | (~v145(constB105))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36914,plain,
% 8.40/6.60 (v145(constB105) | v165(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36913, 36912])).
% 8.40/6.60 tff(36915,plain,
% 8.40/6.60 ((~(v164(constB105) <=> (v145(constB105) | v165(constB105)))) | v164(constB105) | (~(v145(constB105) | v165(constB105)))),
% 8.40/6.60 inference(tautology,[status(thm)],[])).
% 8.40/6.60 tff(36916,plain,
% 8.40/6.60 ((~(v164(constB105) <=> (v145(constB105) | v165(constB105)))) | v164(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36915, 36914])).
% 8.40/6.60 tff(36917,plain,
% 8.40/6.60 (v164(constB105)),
% 8.40/6.60 inference(unit_resolution,[status(thm)],[36916, 36881])).
% 8.40/6.60 tff(36918,plain,
% 8.40/6.60 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB105)) | (v161(constB105) <=> v168(constB105)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB105)) | (v161(constB105) <=> v168(constB105)))),
% 8.40/6.60 inference(rewrite,[status(thm)],[])).
% 8.40/6.60 tff(36919,plain,
% 8.40/6.60 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB105)) | (v161(constB105) <=> v168(constB105)))),
% 8.40/6.60 inference(quant_inst,[status(thm)],[])).
% 8.40/6.60 tff(36920,plain,
% 8.40/6.60 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB105)) | (v161(constB105) <=> v168(constB105))),
% 8.40/6.60 inference(modus_ponens,[status(thm)],[36919, 36918])).
% 8.40/6.61 tff(36921,plain,
% 8.40/6.61 ((~v164(constB105)) | (v161(constB105) <=> v168(constB105))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36920, 12128])).
% 8.40/6.61 tff(36922,plain,
% 8.40/6.61 (v161(constB105) <=> v168(constB105)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36921, 36917])).
% 8.40/6.61 tff(36923,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(36924,plain,
% 8.40/6.61 (v139(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36923, 12146])).
% 8.40/6.61 tff(36925,plain,
% 8.40/6.61 ((v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)) | (~v88(constB105, bitIndex2))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36926,plain,
% 8.40/6.61 (v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36925, 36896])).
% 8.40/6.61 tff(36927,plain,
% 8.40/6.61 ((~(v139(constB105) <=> (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2))))) | (~v139(constB105)) | (~(v88(constB105, bitIndex0) | v88(constB105, bitIndex1) | v88(constB105, bitIndex2)))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36928,plain,
% 8.40/6.61 (~v139(constB105)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36927, 36926, 36924])).
% 8.40/6.61 tff(36929,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB105) <=> (~(v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0)))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(36930,plain,
% 8.40/6.61 (v140(constB105) <=> (~(v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0))))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36929, 12165])).
% 8.40/6.61 tff(36931,plain,
% 8.40/6.61 ((v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0))) | (~v88(constB105, bitIndex2))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36932,plain,
% 8.40/6.61 (v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36931, 36896])).
% 8.40/6.61 tff(36933,plain,
% 8.40/6.61 ((~(v140(constB105) <=> (~(v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0)))))) | (~v140(constB105)) | (~(v88(constB105, bitIndex1) | v88(constB105, bitIndex2) | (~v88(constB105, bitIndex0))))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36934,plain,
% 8.40/6.61 (~v140(constB105)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36933, 36932, 36930])).
% 8.40/6.61 tff(36935,plain,
% 8.40/6.61 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB105) | v139(constB105) | (~v168(constB105)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB105) | v139(constB105) | (~v168(constB105)))),
% 8.40/6.61 inference(rewrite,[status(thm)],[])).
% 8.40/6.61 tff(36936,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB105) | v139(constB105) | (~v168(constB105)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(36937,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB105) | v139(constB105) | (~v168(constB105))),
% 8.40/6.61 inference(modus_ponens,[status(thm)],[36936, 36935])).
% 8.40/6.61 tff(36938,plain,
% 8.40/6.61 (v140(constB105) | v139(constB105) | (~v168(constB105))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36937, 12184])).
% 8.40/6.61 tff(36939,plain,
% 8.40/6.61 (~v168(constB105)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36938, 36934, 36928])).
% 8.40/6.61 tff(36940,plain,
% 8.40/6.61 ((~(v161(constB105) <=> v168(constB105))) | (~v161(constB105)) | v168(constB105)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36941,plain,
% 8.40/6.61 ((~(v161(constB105) <=> v168(constB105))) | (~v161(constB105))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36940, 36939])).
% 8.40/6.61 tff(36942,plain,
% 8.40/6.61 (~v161(constB105)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36941, 36922])).
% 8.40/6.61 tff(36943,plain,
% 8.40/6.61 ((~(v159(constB105) <=> v161(constB105))) | (~v159(constB105)) | v161(constB105)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36944,plain,
% 8.40/6.61 ((~(v159(constB105) <=> v161(constB105))) | (~v159(constB105))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36943, 36942])).
% 8.40/6.61 tff(36945,plain,
% 8.40/6.61 (~v159(constB105)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36944, 36879])).
% 8.40/6.61 tff(36946,plain,
% 8.40/6.61 (((~v184(constB105)) | (~v159(constB105))) | v159(constB105)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36947,plain,
% 8.40/6.61 ((~v184(constB105)) | (~v159(constB105))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36946, 36945])).
% 8.40/6.61 tff(36948,plain,
% 8.40/6.61 ((~(v187(constB105) <=> (~((~v184(constB105)) | (~v159(constB105)))))) | (~v187(constB105)) | (~((~v184(constB105)) | (~v159(constB105))))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36949,plain,
% 8.40/6.61 (~v187(constB105)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36948, 36947, 36877])).
% 8.40/6.61 tff(36950,plain,
% 8.40/6.61 (((~v186(constB105)) | (~v187(constB105))) | v187(constB105)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36951,plain,
% 8.40/6.61 ((~v186(constB105)) | (~v187(constB105))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36950, 36949])).
% 8.40/6.61 tff(36952,plain,
% 8.40/6.61 ((~(v185(constB105) <=> (~((~v186(constB105)) | (~v187(constB105)))))) | (~v185(constB105)) | (~((~v186(constB105)) | (~v187(constB105))))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36953,plain,
% 8.40/6.61 (~v185(constB105)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36952, 36951, 36875])).
% 8.40/6.61 tff(36954,plain,
% 8.40/6.61 ((~(v181(constB105) | v185(constB105))) | v181(constB105) | v185(constB105)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36955,plain,
% 8.40/6.61 (~(v181(constB105) | v185(constB105))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36954, 36953, 36873])).
% 8.40/6.61 tff(36956,plain,
% 8.40/6.61 ((~(v178(constB105) <=> (v181(constB105) | v185(constB105)))) | (~v178(constB105)) | (v181(constB105) | v185(constB105))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36957,plain,
% 8.40/6.61 (~v178(constB105)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36956, 36955, 36800])).
% 8.40/6.61 tff(36958,plain,
% 8.40/6.61 ((~(v180(constB106) <=> v178(constB105))) | (~v180(constB106)) | v178(constB105)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36959,plain,
% 8.40/6.61 (~v180(constB106)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36958, 36957, 36798])).
% 8.40/6.61 tff(36960,plain,
% 8.40/6.61 ((~(v157(constB106) <=> v180(constB106))) | (~v157(constB106)) | v180(constB106)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36961,plain,
% 8.40/6.61 (~v157(constB106)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36960, 36959, 36794])).
% 8.40/6.61 tff(36962,plain,
% 8.40/6.61 (((~v157(constB106)) | (~v182(constB106))) | v157(constB106)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36963,plain,
% 8.40/6.61 ((~v157(constB106)) | (~v182(constB106))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36962, 36961])).
% 8.40/6.61 tff(36964,plain,
% 8.40/6.61 ((~(v181(constB106) <=> (~((~v157(constB106)) | (~v182(constB106)))))) | (~v181(constB106)) | (~((~v157(constB106)) | (~v182(constB106))))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36965,plain,
% 8.40/6.61 (~v181(constB106)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36964, 36963, 36792])).
% 8.40/6.61 tff(36966,plain,
% 8.40/6.61 ((~(v181(constB106) | v185(constB106))) | v181(constB106) | v185(constB106)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36967,plain,
% 8.40/6.61 (~(v181(constB106) | v185(constB106))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36966, 36965, 36785])).
% 8.40/6.61 tff(36968,plain,
% 8.40/6.61 ((~(v178(constB106) <=> (v181(constB106) | v185(constB106)))) | (~v178(constB106)) | (v181(constB106) | v185(constB106))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36969,plain,
% 8.40/6.61 (~v178(constB106)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36968, 36967, 36760])).
% 8.40/6.61 tff(36970,plain,
% 8.40/6.61 ((~(v180(constB107) <=> v178(constB106))) | (~v180(constB107)) | v178(constB106)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36971,plain,
% 8.40/6.61 (~v180(constB107)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36970, 36969, 36758])).
% 8.40/6.61 tff(36972,plain,
% 8.40/6.61 ($false),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36971, 36754])).
% 8.40/6.61 tff(36973,plain,(~(constB107 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.61 tff(36974,assumption,(constB43 = VarCurr!0), introduced(assumption)).
% 8.40/6.61 tff(36975,plain,
% 8.40/6.61 (v180(constB43) <=> v180(VarCurr!0)),
% 8.40/6.61 inference(monotonicity,[status(thm)],[36974])).
% 8.40/6.61 tff(36976,plain,
% 8.40/6.61 (v180(VarCurr!0) <=> v180(constB43)),
% 8.40/6.61 inference(symmetry,[status(thm)],[36975])).
% 8.40/6.61 tff(36977,plain,
% 8.40/6.61 (v180(constB43)),
% 8.40/6.61 inference(modus_ponens,[status(thm)],[59, 36976])).
% 8.40/6.61 tff(36978,plain,
% 8.40/6.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB42, constB43)) | (v180(constB43) <=> v178(constB42)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB42, constB43)) | (v180(constB43) <=> v178(constB42)))),
% 8.40/6.61 inference(rewrite,[status(thm)],[])).
% 8.40/6.61 tff(36979,plain,
% 8.40/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB42, constB43)) | (v180(constB43) <=> v178(constB42)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(36980,plain,
% 8.40/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB42, constB43)) | (v180(constB43) <=> v178(constB42))),
% 8.40/6.61 inference(modus_ponens,[status(thm)],[36979, 36978])).
% 8.40/6.61 tff(36981,plain,
% 8.40/6.61 (v180(constB43) <=> v178(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36980, 2513, 70])).
% 8.40/6.61 tff(36982,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB42) <=> (v181(constB42) | v185(constB42)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(36983,plain,
% 8.40/6.61 (v178(constB42) <=> (v181(constB42) | v185(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36982, 84])).
% 8.40/6.61 tff(36984,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB42) <=> (~((~v186(constB42)) | (~v187(constB42)))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(36985,plain,
% 8.40/6.61 (v185(constB42) <=> (~((~v186(constB42)) | (~v187(constB42))))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36984, 96])).
% 8.40/6.61 tff(36986,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB42) <=> (~((~v184(constB42)) | (~v159(constB42)))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(36987,plain,
% 8.40/6.61 (v187(constB42) <=> (~((~v184(constB42)) | (~v159(constB42))))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36986, 108])).
% 8.40/6.61 tff(36988,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(36989,plain,
% 8.40/6.61 (v184(constB42) <=> (~((~v39(constB42)) | (~v9(constB42))))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36988, 120])).
% 8.40/6.61 tff(36990,plain,
% 8.40/6.61 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB42)) <=> v1(constB42))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(36991,plain,
% 8.40/6.61 ((~v39(constB42)) <=> v1(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36990, 129])).
% 8.40/6.61 tff(36992,plain,
% 8.40/6.61 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42)) | (~v1(constB42))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36993,plain,
% 8.40/6.61 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36992, 7303])).
% 8.40/6.61 tff(36994,plain,
% 8.40/6.61 (~v39(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36993, 36991])).
% 8.40/6.61 tff(36995,plain,
% 8.40/6.61 (((~v39(constB42)) | (~v9(constB42))) | v39(constB42)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36996,plain,
% 8.40/6.61 ((~v39(constB42)) | (~v9(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36995, 36994])).
% 8.40/6.61 tff(36997,plain,
% 8.40/6.61 ((~(v184(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v184(constB42)) | (~((~v39(constB42)) | (~v9(constB42))))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(36998,plain,
% 8.40/6.61 ((~(v184(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v184(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36997, 36996])).
% 8.40/6.61 tff(36999,plain,
% 8.40/6.61 (~v184(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[36998, 36989])).
% 8.40/6.61 tff(37000,plain,
% 8.40/6.61 (((~v184(constB42)) | (~v159(constB42))) | v184(constB42)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37001,plain,
% 8.40/6.61 ((~v184(constB42)) | (~v159(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37000, 36999])).
% 8.40/6.61 tff(37002,plain,
% 8.40/6.61 ((~(v187(constB42) <=> (~((~v184(constB42)) | (~v159(constB42)))))) | (~v187(constB42)) | (~((~v184(constB42)) | (~v159(constB42))))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37003,plain,
% 8.40/6.61 ((~(v187(constB42) <=> (~((~v184(constB42)) | (~v159(constB42)))))) | (~v187(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37002, 37001])).
% 8.40/6.61 tff(37004,plain,
% 8.40/6.61 (~v187(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37003, 36987])).
% 8.40/6.61 tff(37005,plain,
% 8.40/6.61 (((~v186(constB42)) | (~v187(constB42))) | v187(constB42)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37006,plain,
% 8.40/6.61 ((~v186(constB42)) | (~v187(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37005, 37004])).
% 8.40/6.61 tff(37007,plain,
% 8.40/6.61 ((~(v185(constB42) <=> (~((~v186(constB42)) | (~v187(constB42)))))) | (~v185(constB42)) | (~((~v186(constB42)) | (~v187(constB42))))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37008,plain,
% 8.40/6.61 (~v185(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37007, 37006, 36985])).
% 8.40/6.61 tff(37009,plain,
% 8.40/6.61 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42))))))),
% 8.40/6.61 inference(rewrite,[status(thm)],[])).
% 8.40/6.61 tff(37010,plain,
% 8.40/6.61 ((v181(constB42) <=> (~((~v182(constB42)) | (~v157(constB42))))) <=> (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42)))))),
% 8.40/6.61 inference(rewrite,[status(thm)],[])).
% 8.40/6.61 tff(37011,plain,
% 8.40/6.61 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v182(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42))))))),
% 8.40/6.61 inference(monotonicity,[status(thm)],[37010])).
% 8.40/6.61 tff(37012,plain,
% 8.40/6.61 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v182(constB42)) | (~v157(constB42)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42))))))),
% 8.40/6.61 inference(transitivity,[status(thm)],[37011, 37009])).
% 8.40/6.61 tff(37013,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v182(constB42)) | (~v157(constB42)))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37014,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42)))))),
% 8.40/6.61 inference(modus_ponens,[status(thm)],[37013, 37012])).
% 8.40/6.61 tff(37015,plain,
% 8.40/6.61 (v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42))))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37014, 161])).
% 8.40/6.61 tff(37016,plain,
% 8.40/6.61 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB42) <=> v180(constB42))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37017,plain,
% 8.40/6.61 (v157(constB42) <=> v180(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37016, 13])).
% 8.40/6.61 tff(37018,plain,
% 8.40/6.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB41, constB42)) | (v180(constB42) <=> v178(constB41)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB41, constB42)) | (v180(constB42) <=> v178(constB41)))),
% 8.40/6.61 inference(rewrite,[status(thm)],[])).
% 8.40/6.61 tff(37019,plain,
% 8.40/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB41, constB42)) | (v180(constB42) <=> v178(constB41)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37020,plain,
% 8.40/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB41, constB42)) | (v180(constB42) <=> v178(constB41))),
% 8.40/6.61 inference(modus_ponens,[status(thm)],[37019, 37018])).
% 8.40/6.61 tff(37021,plain,
% 8.40/6.61 (v180(constB42) <=> v178(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37020, 2549, 70])).
% 8.40/6.61 tff(37022,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB41) <=> (v181(constB41) | v185(constB41)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37023,plain,
% 8.40/6.61 (v178(constB41) <=> (v181(constB41) | v185(constB41))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37022, 84])).
% 8.40/6.61 tff(37024,plain,
% 8.40/6.61 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41))))))),
% 8.40/6.61 inference(rewrite,[status(thm)],[])).
% 8.40/6.61 tff(37025,plain,
% 8.40/6.61 ((v181(constB41) <=> (~((~v182(constB41)) | (~v157(constB41))))) <=> (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41)))))),
% 8.40/6.61 inference(rewrite,[status(thm)],[])).
% 8.40/6.61 tff(37026,plain,
% 8.40/6.61 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v182(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41))))))),
% 8.40/6.61 inference(monotonicity,[status(thm)],[37025])).
% 8.40/6.61 tff(37027,plain,
% 8.40/6.61 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v182(constB41)) | (~v157(constB41)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41))))))),
% 8.40/6.61 inference(transitivity,[status(thm)],[37026, 37024])).
% 8.40/6.61 tff(37028,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v182(constB41)) | (~v157(constB41)))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37029,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41)))))),
% 8.40/6.61 inference(modus_ponens,[status(thm)],[37028, 37027])).
% 8.40/6.61 tff(37030,plain,
% 8.40/6.61 (v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41))))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37029, 161])).
% 8.40/6.61 tff(37031,plain,
% 8.40/6.61 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB41)) <=> v183(constB41))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37032,plain,
% 8.40/6.61 ((~v182(constB41)) <=> v183(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37031, 193])).
% 8.40/6.61 tff(37033,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB41) <=> (v184(constB41) | v26(constB41)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37034,plain,
% 8.40/6.61 (v183(constB41) <=> (v184(constB41) | v26(constB41))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37033, 202])).
% 8.40/6.61 tff(37035,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37036,plain,
% 8.40/6.61 (v184(constB41) <=> (~((~v39(constB41)) | (~v9(constB41))))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37035, 120])).
% 8.40/6.61 tff(37037,plain,
% 8.40/6.61 (((~![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)))),
% 8.40/6.61 inference(rewrite,[status(thm)],[])).
% 8.40/6.61 tff(37038,plain,
% 8.40/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37039,plain,
% 8.40/6.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41))),
% 8.40/6.61 inference(modus_ponens,[status(thm)],[37038, 37037])).
% 8.40/6.61 tff(37040,plain,
% 8.40/6.61 (v13(constB42) <=> v9(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37039, 2549, 216])).
% 8.40/6.61 tff(37041,plain,
% 8.40/6.61 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB42) <=> v13(constB42))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37042,plain,
% 8.40/6.61 (v6(constB42) <=> v13(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37041, 230])).
% 8.40/6.61 tff(37043,plain,
% 8.40/6.61 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB42)) <=> v6(constB42))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37044,plain,
% 8.40/6.61 ((~v21(constB42)) <=> v6(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37043, 239])).
% 8.40/6.61 tff(37045,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB42) <=> (v20(constB42) | v21(constB42)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37046,plain,
% 8.40/6.61 (v19(constB42) <=> (v20(constB42) | v21(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37045, 248])).
% 8.40/6.61 tff(37047,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37048,plain,
% 8.40/6.61 (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42))))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37047, 260])).
% 8.40/6.61 tff(37049,plain,
% 8.40/6.61 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB42)) <=> v18(constB42))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37050,plain,
% 8.40/6.61 ((~v4(constB42)) <=> v18(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37049, 269])).
% 8.40/6.61 tff(37051,plain,
% 8.40/6.61 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB42)),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37052,plain,
% 8.40/6.61 (v4(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37051, 278])).
% 8.40/6.61 tff(37053,plain,
% 8.40/6.61 ((~((~v4(constB42)) <=> v18(constB42))) | (~v4(constB42)) | (~v18(constB42))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37054,plain,
% 8.40/6.61 (~v18(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37053, 37052, 37050])).
% 8.40/6.61 tff(37055,plain,
% 8.40/6.61 ((~(v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))) | v18(constB42) | ((~v19(constB42)) | (~v22(constB42)))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37056,plain,
% 8.40/6.61 ((~v19(constB42)) | (~v22(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37055, 37054, 37048])).
% 8.40/6.61 tff(37057,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB42) <=> (v1(constB42) | v6(constB42)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37058,plain,
% 8.40/6.61 (v22(constB42) <=> (v1(constB42) | v6(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37057, 291])).
% 8.40/6.61 tff(37059,plain,
% 8.40/6.61 ((v1(constB42) | v6(constB42)) | (~v1(constB42))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37060,plain,
% 8.40/6.61 (v1(constB42) | v6(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37059, 7303])).
% 8.40/6.61 tff(37061,plain,
% 8.40/6.61 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42) | (~(v1(constB42) | v6(constB42)))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37062,plain,
% 8.40/6.61 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37061, 37060])).
% 8.40/6.61 tff(37063,plain,
% 8.40/6.61 (v22(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37062, 37058])).
% 8.40/6.61 tff(37064,plain,
% 8.40/6.61 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42)) | (~v22(constB42))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37065,plain,
% 8.40/6.61 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37064, 37063])).
% 8.40/6.61 tff(37066,plain,
% 8.40/6.61 (~v19(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37065, 37056])).
% 8.40/6.61 tff(37067,plain,
% 8.40/6.61 ((~(v19(constB42) <=> (v20(constB42) | v21(constB42)))) | v19(constB42) | (~(v20(constB42) | v21(constB42)))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37068,plain,
% 8.40/6.61 (~(v20(constB42) | v21(constB42))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37067, 37066, 37046])).
% 8.40/6.61 tff(37069,plain,
% 8.40/6.61 ((v20(constB42) | v21(constB42)) | (~v21(constB42))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37070,plain,
% 8.40/6.61 (~v21(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37069, 37068])).
% 8.40/6.61 tff(37071,plain,
% 8.40/6.61 ((~((~v21(constB42)) <=> v6(constB42))) | v21(constB42) | v6(constB42)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37072,plain,
% 8.40/6.61 (v6(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37071, 37070, 37044])).
% 8.40/6.61 tff(37073,plain,
% 8.40/6.61 ((~(v6(constB42) <=> v13(constB42))) | (~v6(constB42)) | v13(constB42)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37074,plain,
% 8.40/6.61 (v13(constB42)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37073, 37072, 37042])).
% 8.40/6.61 tff(37075,plain,
% 8.40/6.61 ((~(v13(constB42) <=> v9(constB41))) | (~v13(constB42)) | v9(constB41)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37076,plain,
% 8.40/6.61 (v9(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37075, 37074, 37040])).
% 8.40/6.61 tff(37077,plain,
% 8.40/6.61 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB41)) <=> v1(constB41))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37078,plain,
% 8.40/6.61 ((~v39(constB41)) <=> v1(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37077, 129])).
% 8.40/6.61 tff(37079,plain,
% 8.40/6.61 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41) | v1(constB41)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37080,plain,
% 8.40/6.61 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37079, 2593])).
% 8.40/6.61 tff(37081,plain,
% 8.40/6.61 (v39(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37080, 37078])).
% 8.40/6.61 tff(37082,plain,
% 8.40/6.61 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v39(constB41)) | (~v9(constB41))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37083,plain,
% 8.40/6.61 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v9(constB41))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37082, 37081])).
% 8.40/6.61 tff(37084,plain,
% 8.40/6.61 (~((~v39(constB41)) | (~v9(constB41)))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37083, 37076])).
% 8.40/6.61 tff(37085,plain,
% 8.40/6.61 ((~(v184(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))) | v184(constB41) | ((~v39(constB41)) | (~v9(constB41)))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37086,plain,
% 8.40/6.61 (v184(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37085, 37084, 37036])).
% 8.40/6.61 tff(37087,plain,
% 8.40/6.61 ((v184(constB41) | v26(constB41)) | (~v184(constB41))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37088,plain,
% 8.40/6.61 (v184(constB41) | v26(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37087, 37086])).
% 8.40/6.61 tff(37089,plain,
% 8.40/6.61 ((~(v183(constB41) <=> (v184(constB41) | v26(constB41)))) | v183(constB41) | (~(v184(constB41) | v26(constB41)))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37090,plain,
% 8.40/6.61 (v183(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37089, 37088, 37034])).
% 8.40/6.61 tff(37091,plain,
% 8.40/6.61 ((~((~v182(constB41)) <=> v183(constB41))) | (~v182(constB41)) | (~v183(constB41))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37092,plain,
% 8.40/6.61 (~v182(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37091, 37090, 37032])).
% 8.40/6.61 tff(37093,plain,
% 8.40/6.61 (((~v157(constB41)) | (~v182(constB41))) | v182(constB41)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37094,plain,
% 8.40/6.61 ((~v157(constB41)) | (~v182(constB41))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37093, 37092])).
% 8.40/6.61 tff(37095,plain,
% 8.40/6.61 ((~(v181(constB41) <=> (~((~v157(constB41)) | (~v182(constB41)))))) | (~v181(constB41)) | (~((~v157(constB41)) | (~v182(constB41))))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37096,plain,
% 8.40/6.61 (~v181(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37095, 37094, 37030])).
% 8.40/6.61 tff(37097,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB41) <=> (~((~v186(constB41)) | (~v187(constB41)))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37098,plain,
% 8.40/6.61 (v185(constB41) <=> (~((~v186(constB41)) | (~v187(constB41))))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37097, 96])).
% 8.40/6.61 tff(37099,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB41) <=> (~((~v184(constB41)) | (~v159(constB41)))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37100,plain,
% 8.40/6.61 (v187(constB41) <=> (~((~v184(constB41)) | (~v159(constB41))))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37099, 108])).
% 8.40/6.61 tff(37101,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB41) <=> v161(constB41))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37102,plain,
% 8.40/6.61 (v159(constB41) <=> v161(constB41)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37101, 345])).
% 8.40/6.61 tff(37103,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB41) <=> (v145(constB41) | v165(constB41)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37104,plain,
% 8.40/6.61 (v164(constB41) <=> (v145(constB41) | v165(constB41))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37103, 357])).
% 8.40/6.61 tff(37105,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB41) <=> (v142(constB41) | v166(constB41)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37106,plain,
% 8.40/6.61 (v165(constB41) <=> (v142(constB41) | v166(constB41))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37105, 369])).
% 8.40/6.61 tff(37107,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) | v144(VarCurr)))) | (v142(constB41) <=> (v143(constB41) | v144(constB41)))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37108,plain,
% 8.40/6.61 (v142(constB41) <=> (v143(constB41) | v144(constB41))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37107, 21792])).
% 8.40/6.61 tff(37109,plain,
% 8.40/6.61 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0)))))),
% 8.40/6.61 inference(rewrite,[status(thm)],[])).
% 8.40/6.61 tff(37110,plain,
% 8.40/6.61 ((v143(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1))))) <=> (v143(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0))))),
% 8.40/6.61 inference(rewrite,[status(thm)],[])).
% 8.40/6.61 tff(37111,plain,
% 8.40/6.61 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0)))))),
% 8.40/6.61 inference(monotonicity,[status(thm)],[37110])).
% 8.40/6.61 tff(37112,plain,
% 8.40/6.61 (((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0)))))),
% 8.40/6.61 inference(transitivity,[status(thm)],[37111, 37109])).
% 8.40/6.61 tff(37113,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex1)))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37114,plain,
% 8.40/6.61 ((~![VarCurr: $i] : (v143(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)))))) | (v143(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0))))),
% 8.40/6.61 inference(modus_ponens,[status(thm)],[37113, 37112])).
% 8.40/6.61 tff(37115,plain,
% 8.40/6.61 (v143(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0)))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37114, 23745])).
% 8.40/6.61 tff(37116,plain,
% 8.40/6.61 ((~![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))))),
% 8.40/6.61 inference(quant_inst,[status(thm)],[])).
% 8.40/6.61 tff(37117,plain,
% 8.40/6.61 (~(((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)) | ((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)) | ((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0)))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37116, 416])).
% 8.40/6.61 tff(37118,plain,
% 8.40/6.61 ((((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)) | ((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)) | ((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0))) | (~((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37119,plain,
% 8.40/6.61 (~((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37118, 37117])).
% 8.40/6.61 tff(37120,plain,
% 8.40/6.61 (((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)) | (~v88(constB41, bitIndex2)) | v90(constB41, bitIndex2)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37121,plain,
% 8.40/6.61 (~v88(constB41, bitIndex2)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37120, 7222, 37119])).
% 8.40/6.61 tff(37122,plain,
% 8.40/6.61 ((((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)) | ((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)) | ((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0))) | (~((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0)))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37123,plain,
% 8.40/6.61 (~((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37122, 37117])).
% 8.40/6.61 tff(37124,plain,
% 8.40/6.61 (((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0)) | (~v88(constB41, bitIndex0)) | v90(constB41, bitIndex0)),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37125,plain,
% 8.40/6.61 (~v88(constB41, bitIndex0)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37124, 7240, 37123])).
% 8.40/6.61 tff(37126,plain,
% 8.40/6.61 ((((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)) | ((~v88(constB41, bitIndex2)) <=> v90(constB41, bitIndex2)) | ((~v88(constB41, bitIndex0)) <=> v90(constB41, bitIndex0))) | (~((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37127,plain,
% 8.40/6.61 (~((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1))),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37126, 37117])).
% 8.40/6.61 tff(37128,plain,
% 8.40/6.61 (((~v88(constB41, bitIndex1)) <=> v90(constB41, bitIndex1)) | v88(constB41, bitIndex1) | (~v90(constB41, bitIndex1))),
% 8.40/6.61 inference(tautology,[status(thm)],[])).
% 8.40/6.61 tff(37129,plain,
% 8.40/6.61 (v88(constB41, bitIndex1)),
% 8.40/6.61 inference(unit_resolution,[status(thm)],[37128, 7258, 37127])).
% 8.40/6.61 tff(37130,plain,
% 8.40/6.61 ((~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0))) | (~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37131,plain,
% 8.40/6.62 (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37130, 37129, 37125, 37121])).
% 8.40/6.62 tff(37132,plain,
% 8.40/6.62 ((~(v143(constB41) <=> (~((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0))))) | v143(constB41) | ((~v88(constB41, bitIndex1)) | v88(constB41, bitIndex2) | v88(constB41, bitIndex0))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37133,plain,
% 8.40/6.62 (v143(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37132, 37131, 37115])).
% 8.40/6.62 tff(37134,plain,
% 8.40/6.62 ((v143(constB41) | v144(constB41)) | (~v143(constB41))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37135,plain,
% 8.40/6.62 (v143(constB41) | v144(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37134, 37133])).
% 8.40/6.62 tff(37136,plain,
% 8.40/6.62 ((~(v142(constB41) <=> (v143(constB41) | v144(constB41)))) | v142(constB41) | (~(v143(constB41) | v144(constB41)))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37137,plain,
% 8.40/6.62 (v142(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37136, 37135, 37108])).
% 8.40/6.62 tff(37138,plain,
% 8.40/6.62 ((v142(constB41) | v166(constB41)) | (~v142(constB41))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37139,plain,
% 8.40/6.62 (v142(constB41) | v166(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37138, 37137])).
% 8.40/6.62 tff(37140,plain,
% 8.40/6.62 ((~(v165(constB41) <=> (v142(constB41) | v166(constB41)))) | v165(constB41) | (~(v142(constB41) | v166(constB41)))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37141,plain,
% 8.40/6.62 ((~(v165(constB41) <=> (v142(constB41) | v166(constB41)))) | v165(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37140, 37139])).
% 8.40/6.62 tff(37142,plain,
% 8.40/6.62 (v165(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37141, 37106])).
% 8.40/6.62 tff(37143,plain,
% 8.40/6.62 ((v145(constB41) | v165(constB41)) | (~v165(constB41))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37144,plain,
% 8.40/6.62 (v145(constB41) | v165(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37143, 37142])).
% 8.40/6.62 tff(37145,plain,
% 8.40/6.62 ((~(v164(constB41) <=> (v145(constB41) | v165(constB41)))) | v164(constB41) | (~(v145(constB41) | v165(constB41)))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37146,plain,
% 8.40/6.62 (v164(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37145, 37144, 37104])).
% 8.40/6.62 tff(37147,plain,
% 8.40/6.62 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB41)) | (v161(constB41) <=> v168(constB41)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB41)) | (v161(constB41) <=> v168(constB41)))),
% 8.40/6.62 inference(rewrite,[status(thm)],[])).
% 8.40/6.62 tff(37148,plain,
% 8.40/6.62 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB41)) | (v161(constB41) <=> v168(constB41)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37149,plain,
% 8.40/6.62 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB41)) | (v161(constB41) <=> v168(constB41))),
% 8.40/6.62 inference(modus_ponens,[status(thm)],[37148, 37147])).
% 8.40/6.62 tff(37150,plain,
% 8.40/6.62 ((~v164(constB41)) | (v161(constB41) <=> v168(constB41))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37149, 12128])).
% 8.40/6.62 tff(37151,plain,
% 8.40/6.62 (v161(constB41) <=> v168(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37150, 37146])).
% 8.40/6.62 tff(37152,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37153,plain,
% 8.40/6.62 (v139(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2)))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37152, 12146])).
% 8.40/6.62 tff(37154,plain,
% 8.40/6.62 ((v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2)) | (~v88(constB41, bitIndex1))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37155,plain,
% 8.40/6.62 (v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37154, 37129])).
% 8.40/6.62 tff(37156,plain,
% 8.40/6.62 ((~(v139(constB41) <=> (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2))))) | (~v139(constB41)) | (~(v88(constB41, bitIndex0) | v88(constB41, bitIndex1) | v88(constB41, bitIndex2)))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37157,plain,
% 8.40/6.62 (~v139(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37156, 37155, 37153])).
% 8.40/6.62 tff(37158,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB41) <=> (~(v88(constB41, bitIndex1) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37159,plain,
% 8.40/6.62 (v140(constB41) <=> (~(v88(constB41, bitIndex1) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0))))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37158, 12165])).
% 8.40/6.62 tff(37160,plain,
% 8.40/6.62 ((v88(constB41, bitIndex1) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0))) | (~v88(constB41, bitIndex1))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37161,plain,
% 8.40/6.62 (v88(constB41, bitIndex1) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37160, 37129])).
% 8.40/6.62 tff(37162,plain,
% 8.40/6.62 ((~(v140(constB41) <=> (~(v88(constB41, bitIndex1) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0)))))) | (~v140(constB41)) | (~(v88(constB41, bitIndex1) | v88(constB41, bitIndex2) | (~v88(constB41, bitIndex0))))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37163,plain,
% 8.40/6.62 (~v140(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37162, 37161, 37159])).
% 8.40/6.62 tff(37164,plain,
% 8.40/6.62 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB41) | v139(constB41) | (~v168(constB41)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB41) | v139(constB41) | (~v168(constB41)))),
% 8.40/6.62 inference(rewrite,[status(thm)],[])).
% 8.40/6.62 tff(37165,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB41) | v139(constB41) | (~v168(constB41)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37166,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB41) | v139(constB41) | (~v168(constB41))),
% 8.40/6.62 inference(modus_ponens,[status(thm)],[37165, 37164])).
% 8.40/6.62 tff(37167,plain,
% 8.40/6.62 (v140(constB41) | v139(constB41) | (~v168(constB41))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37166, 12184])).
% 8.40/6.62 tff(37168,plain,
% 8.40/6.62 (~v168(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37167, 37163, 37157])).
% 8.40/6.62 tff(37169,plain,
% 8.40/6.62 ((~(v161(constB41) <=> v168(constB41))) | (~v161(constB41)) | v168(constB41)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37170,plain,
% 8.40/6.62 ((~(v161(constB41) <=> v168(constB41))) | (~v161(constB41))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37169, 37168])).
% 8.40/6.62 tff(37171,plain,
% 8.40/6.62 (~v161(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37170, 37151])).
% 8.40/6.62 tff(37172,plain,
% 8.40/6.62 ((~(v159(constB41) <=> v161(constB41))) | (~v159(constB41)) | v161(constB41)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37173,plain,
% 8.40/6.62 ((~(v159(constB41) <=> v161(constB41))) | (~v159(constB41))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37172, 37171])).
% 8.40/6.62 tff(37174,plain,
% 8.40/6.62 (~v159(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37173, 37102])).
% 8.40/6.62 tff(37175,plain,
% 8.40/6.62 (((~v184(constB41)) | (~v159(constB41))) | v159(constB41)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37176,plain,
% 8.40/6.62 ((~v184(constB41)) | (~v159(constB41))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37175, 37174])).
% 8.40/6.62 tff(37177,plain,
% 8.40/6.62 ((~(v187(constB41) <=> (~((~v184(constB41)) | (~v159(constB41)))))) | (~v187(constB41)) | (~((~v184(constB41)) | (~v159(constB41))))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37178,plain,
% 8.40/6.62 (~v187(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37177, 37176, 37100])).
% 8.40/6.62 tff(37179,plain,
% 8.40/6.62 (((~v186(constB41)) | (~v187(constB41))) | v187(constB41)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37180,plain,
% 8.40/6.62 ((~v186(constB41)) | (~v187(constB41))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37179, 37178])).
% 8.40/6.62 tff(37181,plain,
% 8.40/6.62 ((~(v185(constB41) <=> (~((~v186(constB41)) | (~v187(constB41)))))) | (~v185(constB41)) | (~((~v186(constB41)) | (~v187(constB41))))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37182,plain,
% 8.40/6.62 (~v185(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37181, 37180, 37098])).
% 8.40/6.62 tff(37183,plain,
% 8.40/6.62 ((~(v181(constB41) | v185(constB41))) | v181(constB41) | v185(constB41)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37184,plain,
% 8.40/6.62 (~(v181(constB41) | v185(constB41))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37183, 37182, 37096])).
% 8.40/6.62 tff(37185,plain,
% 8.40/6.62 ((~(v178(constB41) <=> (v181(constB41) | v185(constB41)))) | (~v178(constB41)) | (v181(constB41) | v185(constB41))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37186,plain,
% 8.40/6.62 (~v178(constB41)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37185, 37184, 37023])).
% 8.40/6.62 tff(37187,plain,
% 8.40/6.62 ((~(v180(constB42) <=> v178(constB41))) | (~v180(constB42)) | v178(constB41)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37188,plain,
% 8.40/6.62 (~v180(constB42)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37187, 37186, 37021])).
% 8.40/6.62 tff(37189,plain,
% 8.40/6.62 ((~(v157(constB42) <=> v180(constB42))) | (~v157(constB42)) | v180(constB42)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37190,plain,
% 8.40/6.62 (~v157(constB42)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37189, 37188, 37017])).
% 8.40/6.62 tff(37191,plain,
% 8.40/6.62 (((~v157(constB42)) | (~v182(constB42))) | v157(constB42)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37192,plain,
% 8.40/6.62 ((~v157(constB42)) | (~v182(constB42))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37191, 37190])).
% 8.40/6.62 tff(37193,plain,
% 8.40/6.62 ((~(v181(constB42) <=> (~((~v157(constB42)) | (~v182(constB42)))))) | (~v181(constB42)) | (~((~v157(constB42)) | (~v182(constB42))))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37194,plain,
% 8.40/6.62 (~v181(constB42)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37193, 37192, 37015])).
% 8.40/6.62 tff(37195,plain,
% 8.40/6.62 ((~(v181(constB42) | v185(constB42))) | v181(constB42) | v185(constB42)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37196,plain,
% 8.40/6.62 (~(v181(constB42) | v185(constB42))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37195, 37194, 37008])).
% 8.40/6.62 tff(37197,plain,
% 8.40/6.62 ((~(v178(constB42) <=> (v181(constB42) | v185(constB42)))) | (~v178(constB42)) | (v181(constB42) | v185(constB42))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37198,plain,
% 8.40/6.62 (~v178(constB42)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37197, 37196, 36983])).
% 8.40/6.62 tff(37199,plain,
% 8.40/6.62 ((~(v180(constB43) <=> v178(constB42))) | (~v180(constB43)) | v178(constB42)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37200,plain,
% 8.40/6.62 (~v180(constB43)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37199, 37198, 36981])).
% 8.40/6.62 tff(37201,plain,
% 8.40/6.62 ($false),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37200, 36977])).
% 8.40/6.62 tff(37202,plain,(~(constB43 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.62 tff(37203,assumption,(constB9 = VarCurr!0), introduced(assumption)).
% 8.40/6.62 tff(37204,plain,
% 8.40/6.62 (v180(constB9) <=> v180(VarCurr!0)),
% 8.40/6.62 inference(monotonicity,[status(thm)],[37203])).
% 8.40/6.62 tff(37205,plain,
% 8.40/6.62 (v180(VarCurr!0) <=> v180(constB9)),
% 8.40/6.62 inference(symmetry,[status(thm)],[37204])).
% 8.40/6.62 tff(37206,plain,
% 8.40/6.62 (v180(constB9)),
% 8.40/6.62 inference(modus_ponens,[status(thm)],[59, 37205])).
% 8.40/6.62 tff(37207,plain,
% 8.40/6.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB8, constB9)) | (v180(constB9) <=> v178(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB8, constB9)) | (v180(constB9) <=> v178(constB8)))),
% 8.40/6.62 inference(rewrite,[status(thm)],[])).
% 8.40/6.62 tff(37208,plain,
% 8.40/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB8, constB9)) | (v180(constB9) <=> v178(constB8)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37209,plain,
% 8.40/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB8, constB9)) | (v180(constB9) <=> v178(constB8))),
% 8.40/6.62 inference(modus_ponens,[status(thm)],[37208, 37207])).
% 8.40/6.62 tff(37210,plain,
% 8.40/6.62 (v180(constB9) <=> v178(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37209, 3605, 70])).
% 8.40/6.62 tff(37211,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB8) <=> (v181(constB8) | v185(constB8)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37212,plain,
% 8.40/6.62 (v178(constB8) <=> (v181(constB8) | v185(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37211, 84])).
% 8.40/6.62 tff(37213,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB8) <=> (~((~v186(constB8)) | (~v187(constB8)))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37214,plain,
% 8.40/6.62 (v185(constB8) <=> (~((~v186(constB8)) | (~v187(constB8))))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37213, 96])).
% 8.40/6.62 tff(37215,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB8) <=> (~((~v184(constB8)) | (~v159(constB8)))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37216,plain,
% 8.40/6.62 (v187(constB8) <=> (~((~v184(constB8)) | (~v159(constB8))))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37215, 108])).
% 8.40/6.62 tff(37217,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37218,plain,
% 8.40/6.62 (v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8))))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37217, 120])).
% 8.40/6.62 tff(37219,plain,
% 8.40/6.62 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB8)) <=> v1(constB8))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37220,plain,
% 8.40/6.62 ((~v39(constB8)) <=> v1(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37219, 129])).
% 8.40/6.62 tff(37221,plain,
% 8.40/6.62 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8)) | (~v1(constB8))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37222,plain,
% 8.40/6.62 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37221, 4601])).
% 8.40/6.62 tff(37223,plain,
% 8.40/6.62 (~v39(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37222, 37220])).
% 8.40/6.62 tff(37224,plain,
% 8.40/6.62 (((~v39(constB8)) | (~v9(constB8))) | v39(constB8)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37225,plain,
% 8.40/6.62 ((~v39(constB8)) | (~v9(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37224, 37223])).
% 8.40/6.62 tff(37226,plain,
% 8.40/6.62 ((~(v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v184(constB8)) | (~((~v39(constB8)) | (~v9(constB8))))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37227,plain,
% 8.40/6.62 ((~(v184(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v184(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37226, 37225])).
% 8.40/6.62 tff(37228,plain,
% 8.40/6.62 (~v184(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37227, 37218])).
% 8.40/6.62 tff(37229,plain,
% 8.40/6.62 (((~v184(constB8)) | (~v159(constB8))) | v184(constB8)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37230,plain,
% 8.40/6.62 ((~v184(constB8)) | (~v159(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37229, 37228])).
% 8.40/6.62 tff(37231,plain,
% 8.40/6.62 ((~(v187(constB8) <=> (~((~v184(constB8)) | (~v159(constB8)))))) | (~v187(constB8)) | (~((~v184(constB8)) | (~v159(constB8))))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37232,plain,
% 8.40/6.62 ((~(v187(constB8) <=> (~((~v184(constB8)) | (~v159(constB8)))))) | (~v187(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37231, 37230])).
% 8.40/6.62 tff(37233,plain,
% 8.40/6.62 (~v187(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37232, 37216])).
% 8.40/6.62 tff(37234,plain,
% 8.40/6.62 (((~v186(constB8)) | (~v187(constB8))) | v187(constB8)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37235,plain,
% 8.40/6.62 ((~v186(constB8)) | (~v187(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37234, 37233])).
% 8.40/6.62 tff(37236,plain,
% 8.40/6.62 ((~(v185(constB8) <=> (~((~v186(constB8)) | (~v187(constB8)))))) | (~v185(constB8)) | (~((~v186(constB8)) | (~v187(constB8))))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37237,plain,
% 8.40/6.62 (~v185(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37236, 37235, 37214])).
% 8.40/6.62 tff(37238,plain,
% 8.40/6.62 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8))))))),
% 8.40/6.62 inference(rewrite,[status(thm)],[])).
% 8.40/6.62 tff(37239,plain,
% 8.40/6.62 ((v181(constB8) <=> (~((~v182(constB8)) | (~v157(constB8))))) <=> (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8)))))),
% 8.40/6.62 inference(rewrite,[status(thm)],[])).
% 8.40/6.62 tff(37240,plain,
% 8.40/6.62 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v182(constB8)) | (~v157(constB8)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8))))))),
% 8.40/6.62 inference(monotonicity,[status(thm)],[37239])).
% 8.40/6.62 tff(37241,plain,
% 8.40/6.62 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v182(constB8)) | (~v157(constB8)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8))))))),
% 8.40/6.62 inference(transitivity,[status(thm)],[37240, 37238])).
% 8.40/6.62 tff(37242,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v182(constB8)) | (~v157(constB8)))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37243,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8)))))),
% 8.40/6.62 inference(modus_ponens,[status(thm)],[37242, 37241])).
% 8.40/6.62 tff(37244,plain,
% 8.40/6.62 (v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8))))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37243, 161])).
% 8.40/6.62 tff(37245,plain,
% 8.40/6.62 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB8) <=> v180(constB8))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37246,plain,
% 8.40/6.62 (v157(constB8) <=> v180(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37245, 13])).
% 8.40/6.62 tff(37247,plain,
% 8.40/6.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB7, constB8)) | (v180(constB8) <=> v178(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB7, constB8)) | (v180(constB8) <=> v178(constB7)))),
% 8.40/6.62 inference(rewrite,[status(thm)],[])).
% 8.40/6.62 tff(37248,plain,
% 8.40/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB7, constB8)) | (v180(constB8) <=> v178(constB7)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37249,plain,
% 8.40/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB7, constB8)) | (v180(constB8) <=> v178(constB7))),
% 8.40/6.62 inference(modus_ponens,[status(thm)],[37248, 37247])).
% 8.40/6.62 tff(37250,plain,
% 8.40/6.62 (v180(constB8) <=> v178(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37249, 3641, 70])).
% 8.40/6.62 tff(37251,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB7) <=> (v181(constB7) | v185(constB7)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37252,plain,
% 8.40/6.62 (v178(constB7) <=> (v181(constB7) | v185(constB7))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37251, 84])).
% 8.40/6.62 tff(37253,plain,
% 8.40/6.62 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7))))))),
% 8.40/6.62 inference(rewrite,[status(thm)],[])).
% 8.40/6.62 tff(37254,plain,
% 8.40/6.62 ((v181(constB7) <=> (~((~v182(constB7)) | (~v157(constB7))))) <=> (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7)))))),
% 8.40/6.62 inference(rewrite,[status(thm)],[])).
% 8.40/6.62 tff(37255,plain,
% 8.40/6.62 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v182(constB7)) | (~v157(constB7)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7))))))),
% 8.40/6.62 inference(monotonicity,[status(thm)],[37254])).
% 8.40/6.62 tff(37256,plain,
% 8.40/6.62 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v182(constB7)) | (~v157(constB7)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7))))))),
% 8.40/6.62 inference(transitivity,[status(thm)],[37255, 37253])).
% 8.40/6.62 tff(37257,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v182(constB7)) | (~v157(constB7)))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37258,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7)))))),
% 8.40/6.62 inference(modus_ponens,[status(thm)],[37257, 37256])).
% 8.40/6.62 tff(37259,plain,
% 8.40/6.62 (v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7))))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37258, 161])).
% 8.40/6.62 tff(37260,plain,
% 8.40/6.62 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB7)) <=> v183(constB7))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37261,plain,
% 8.40/6.62 ((~v182(constB7)) <=> v183(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37260, 193])).
% 8.40/6.62 tff(37262,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB7) <=> (v184(constB7) | v26(constB7)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37263,plain,
% 8.40/6.62 (v183(constB7) <=> (v184(constB7) | v26(constB7))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37262, 202])).
% 8.40/6.62 tff(37264,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB7) <=> (~((~v39(constB7)) | (~v9(constB7)))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37265,plain,
% 8.40/6.62 (v184(constB7) <=> (~((~v39(constB7)) | (~v9(constB7))))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37264, 120])).
% 8.40/6.62 tff(37266,plain,
% 8.40/6.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7)))),
% 8.40/6.62 inference(rewrite,[status(thm)],[])).
% 8.40/6.62 tff(37267,plain,
% 8.40/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37268,plain,
% 8.40/6.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7))),
% 8.40/6.62 inference(modus_ponens,[status(thm)],[37267, 37266])).
% 8.40/6.62 tff(37269,plain,
% 8.40/6.62 (v13(constB8) <=> v9(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37268, 3641, 216])).
% 8.40/6.62 tff(37270,plain,
% 8.40/6.62 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB8) <=> v13(constB8))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37271,plain,
% 8.40/6.62 (v6(constB8) <=> v13(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37270, 230])).
% 8.40/6.62 tff(37272,plain,
% 8.40/6.62 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB8)) <=> v6(constB8))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37273,plain,
% 8.40/6.62 ((~v21(constB8)) <=> v6(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37272, 239])).
% 8.40/6.62 tff(37274,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB8) <=> (v20(constB8) | v21(constB8)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37275,plain,
% 8.40/6.62 (v19(constB8) <=> (v20(constB8) | v21(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37274, 248])).
% 8.40/6.62 tff(37276,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8)))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37277,plain,
% 8.40/6.62 (v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8))))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37276, 260])).
% 8.40/6.62 tff(37278,plain,
% 8.40/6.62 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB8)) <=> v18(constB8))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37279,plain,
% 8.40/6.62 ((~v4(constB8)) <=> v18(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37278, 269])).
% 8.40/6.62 tff(37280,plain,
% 8.40/6.62 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB8)),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37281,plain,
% 8.40/6.62 (v4(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37280, 278])).
% 8.40/6.62 tff(37282,plain,
% 8.40/6.62 ((~((~v4(constB8)) <=> v18(constB8))) | (~v4(constB8)) | (~v18(constB8))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37283,plain,
% 8.40/6.62 (~v18(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37282, 37281, 37279])).
% 8.40/6.62 tff(37284,plain,
% 8.40/6.62 ((~(v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8)))))) | v18(constB8) | ((~v19(constB8)) | (~v22(constB8)))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37285,plain,
% 8.40/6.62 ((~v19(constB8)) | (~v22(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37284, 37283, 37277])).
% 8.40/6.62 tff(37286,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB8) <=> (v1(constB8) | v6(constB8)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37287,plain,
% 8.40/6.62 (v22(constB8) <=> (v1(constB8) | v6(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37286, 291])).
% 8.40/6.62 tff(37288,plain,
% 8.40/6.62 ((v1(constB8) | v6(constB8)) | (~v1(constB8))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37289,plain,
% 8.40/6.62 (v1(constB8) | v6(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37288, 4601])).
% 8.40/6.62 tff(37290,plain,
% 8.40/6.62 ((~(v22(constB8) <=> (v1(constB8) | v6(constB8)))) | v22(constB8) | (~(v1(constB8) | v6(constB8)))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37291,plain,
% 8.40/6.62 ((~(v22(constB8) <=> (v1(constB8) | v6(constB8)))) | v22(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37290, 37289])).
% 8.40/6.62 tff(37292,plain,
% 8.40/6.62 (v22(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37291, 37287])).
% 8.40/6.62 tff(37293,plain,
% 8.40/6.62 ((~((~v19(constB8)) | (~v22(constB8)))) | (~v19(constB8)) | (~v22(constB8))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37294,plain,
% 8.40/6.62 ((~((~v19(constB8)) | (~v22(constB8)))) | (~v19(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37293, 37292])).
% 8.40/6.62 tff(37295,plain,
% 8.40/6.62 (~v19(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37294, 37285])).
% 8.40/6.62 tff(37296,plain,
% 8.40/6.62 ((~(v19(constB8) <=> (v20(constB8) | v21(constB8)))) | v19(constB8) | (~(v20(constB8) | v21(constB8)))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37297,plain,
% 8.40/6.62 (~(v20(constB8) | v21(constB8))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37296, 37295, 37275])).
% 8.40/6.62 tff(37298,plain,
% 8.40/6.62 ((v20(constB8) | v21(constB8)) | (~v21(constB8))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37299,plain,
% 8.40/6.62 (~v21(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37298, 37297])).
% 8.40/6.62 tff(37300,plain,
% 8.40/6.62 ((~((~v21(constB8)) <=> v6(constB8))) | v21(constB8) | v6(constB8)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37301,plain,
% 8.40/6.62 (v6(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37300, 37299, 37273])).
% 8.40/6.62 tff(37302,plain,
% 8.40/6.62 ((~(v6(constB8) <=> v13(constB8))) | (~v6(constB8)) | v13(constB8)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37303,plain,
% 8.40/6.62 (v13(constB8)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37302, 37301, 37271])).
% 8.40/6.62 tff(37304,plain,
% 8.40/6.62 ((~(v13(constB8) <=> v9(constB7))) | (~v13(constB8)) | v9(constB7)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37305,plain,
% 8.40/6.62 (v9(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37304, 37303, 37269])).
% 8.40/6.62 tff(37306,plain,
% 8.40/6.62 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB7)) <=> v1(constB7))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37307,plain,
% 8.40/6.62 ((~v39(constB7)) <=> v1(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37306, 129])).
% 8.40/6.62 tff(37308,plain,
% 8.40/6.62 ((~((~v39(constB7)) <=> v1(constB7))) | v39(constB7) | v1(constB7)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37309,plain,
% 8.40/6.62 ((~((~v39(constB7)) <=> v1(constB7))) | v39(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37308, 3685])).
% 8.40/6.62 tff(37310,plain,
% 8.40/6.62 (v39(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37309, 37307])).
% 8.40/6.62 tff(37311,plain,
% 8.40/6.62 ((~((~v39(constB7)) | (~v9(constB7)))) | (~v39(constB7)) | (~v9(constB7))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37312,plain,
% 8.40/6.62 ((~((~v39(constB7)) | (~v9(constB7)))) | (~v9(constB7))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37311, 37310])).
% 8.40/6.62 tff(37313,plain,
% 8.40/6.62 (~((~v39(constB7)) | (~v9(constB7)))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37312, 37305])).
% 8.40/6.62 tff(37314,plain,
% 8.40/6.62 ((~(v184(constB7) <=> (~((~v39(constB7)) | (~v9(constB7)))))) | v184(constB7) | ((~v39(constB7)) | (~v9(constB7)))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37315,plain,
% 8.40/6.62 (v184(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37314, 37313, 37265])).
% 8.40/6.62 tff(37316,plain,
% 8.40/6.62 ((v184(constB7) | v26(constB7)) | (~v184(constB7))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37317,plain,
% 8.40/6.62 (v184(constB7) | v26(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37316, 37315])).
% 8.40/6.62 tff(37318,plain,
% 8.40/6.62 ((~(v183(constB7) <=> (v184(constB7) | v26(constB7)))) | v183(constB7) | (~(v184(constB7) | v26(constB7)))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37319,plain,
% 8.40/6.62 (v183(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37318, 37317, 37263])).
% 8.40/6.62 tff(37320,plain,
% 8.40/6.62 ((~((~v182(constB7)) <=> v183(constB7))) | (~v182(constB7)) | (~v183(constB7))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37321,plain,
% 8.40/6.62 (~v182(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37320, 37319, 37261])).
% 8.40/6.62 tff(37322,plain,
% 8.40/6.62 (((~v157(constB7)) | (~v182(constB7))) | v182(constB7)),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37323,plain,
% 8.40/6.62 ((~v157(constB7)) | (~v182(constB7))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37322, 37321])).
% 8.40/6.62 tff(37324,plain,
% 8.40/6.62 ((~(v181(constB7) <=> (~((~v157(constB7)) | (~v182(constB7)))))) | (~v181(constB7)) | (~((~v157(constB7)) | (~v182(constB7))))),
% 8.40/6.62 inference(tautology,[status(thm)],[])).
% 8.40/6.62 tff(37325,plain,
% 8.40/6.62 (~v181(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37324, 37323, 37259])).
% 8.40/6.62 tff(37326,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB7) <=> (~((~v186(constB7)) | (~v187(constB7)))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37327,plain,
% 8.40/6.62 (v185(constB7) <=> (~((~v186(constB7)) | (~v187(constB7))))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37326, 96])).
% 8.40/6.62 tff(37328,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB7) <=> (~((~v184(constB7)) | (~v159(constB7)))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37329,plain,
% 8.40/6.62 (v187(constB7) <=> (~((~v184(constB7)) | (~v159(constB7))))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37328, 108])).
% 8.40/6.62 tff(37330,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB7) <=> v161(constB7))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37331,plain,
% 8.40/6.62 (v159(constB7) <=> v161(constB7)),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37330, 345])).
% 8.40/6.62 tff(37332,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB7) <=> (v145(constB7) | v165(constB7)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37333,plain,
% 8.40/6.62 (v164(constB7) <=> (v145(constB7) | v165(constB7))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37332, 357])).
% 8.40/6.62 tff(37334,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB7) <=> (v142(constB7) | v166(constB7)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37335,plain,
% 8.40/6.62 (v165(constB7) <=> (v142(constB7) | v166(constB7))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37334, 369])).
% 8.40/6.62 tff(37336,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB7) <=> (v141(constB7) | v167(constB7)))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37337,plain,
% 8.40/6.62 (v166(constB7) <=> (v141(constB7) | v167(constB7))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37336, 381])).
% 8.40/6.62 tff(37338,plain,
% 8.40/6.62 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB7) <=> (~((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB7) <=> (~((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0))))))),
% 8.40/6.62 inference(rewrite,[status(thm)],[])).
% 8.40/6.62 tff(37339,plain,
% 8.40/6.62 ((v141(constB7) <=> (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0))))) <=> (v141(constB7) <=> (~((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))),
% 8.40/6.62 inference(rewrite,[status(thm)],[])).
% 8.40/6.62 tff(37340,plain,
% 8.40/6.62 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB7) <=> (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB7) <=> (~((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0))))))),
% 8.40/6.62 inference(monotonicity,[status(thm)],[37339])).
% 8.40/6.62 tff(37341,plain,
% 8.40/6.62 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB7) <=> (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB7) <=> (~((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0))))))),
% 8.40/6.62 inference(transitivity,[status(thm)],[37340, 37338])).
% 8.40/6.62 tff(37342,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB7) <=> (~(v88(constB7, bitIndex2) | (~v88(constB7, bitIndex1)) | (~v88(constB7, bitIndex0)))))),
% 8.40/6.62 inference(quant_inst,[status(thm)],[])).
% 8.40/6.62 tff(37343,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB7) <=> (~((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))),
% 8.40/6.62 inference(modus_ponens,[status(thm)],[37342, 37341])).
% 8.40/6.62 tff(37344,plain,
% 8.40/6.62 (v141(constB7) <=> (~((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0))))),
% 8.40/6.62 inference(unit_resolution,[status(thm)],[37343, 396])).
% 8.40/6.62 tff(37345,plain,
% 8.40/6.62 ((~![VarCurr: $i] : (~(((~v88(VarCurr, bitIndex1)) <=> v90(VarCurr, bitIndex1)) | ((~v88(VarCurr, bitIndex2)) <=> v90(VarCurr, bitIndex2)) | ((~v88(VarCurr, bitIndex0)) <=> v90(VarCurr, bitIndex0))))) | (~(((~v88(constB7, bitIndex1)) <=> v90(constB7, bitIndex1)) | ((~v88(constB7, bitIndex2)) <=> v90(constB7, bitIndex2)) | ((~v88(constB7, bitIndex0)) <=> v90(constB7, bitIndex0))))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37346,plain,
% 8.40/6.63 (~(((~v88(constB7, bitIndex1)) <=> v90(constB7, bitIndex1)) | ((~v88(constB7, bitIndex2)) <=> v90(constB7, bitIndex2)) | ((~v88(constB7, bitIndex0)) <=> v90(constB7, bitIndex0)))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37345, 416])).
% 8.40/6.63 tff(37347,plain,
% 8.40/6.63 ((((~v88(constB7, bitIndex1)) <=> v90(constB7, bitIndex1)) | ((~v88(constB7, bitIndex2)) <=> v90(constB7, bitIndex2)) | ((~v88(constB7, bitIndex0)) <=> v90(constB7, bitIndex0))) | (~((~v88(constB7, bitIndex2)) <=> v90(constB7, bitIndex2)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37348,plain,
% 8.40/6.63 (~((~v88(constB7, bitIndex2)) <=> v90(constB7, bitIndex2))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37347, 37346])).
% 8.40/6.63 tff(37349,plain,
% 8.40/6.63 (((~v88(constB7, bitIndex2)) <=> v90(constB7, bitIndex2)) | (~v88(constB7, bitIndex2)) | v90(constB7, bitIndex2)),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37350,plain,
% 8.40/6.63 (~v88(constB7, bitIndex2)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37349, 4510, 37348])).
% 8.40/6.63 tff(37351,plain,
% 8.40/6.63 ((((~v88(constB7, bitIndex1)) <=> v90(constB7, bitIndex1)) | ((~v88(constB7, bitIndex2)) <=> v90(constB7, bitIndex2)) | ((~v88(constB7, bitIndex0)) <=> v90(constB7, bitIndex0))) | (~((~v88(constB7, bitIndex0)) <=> v90(constB7, bitIndex0)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37352,plain,
% 8.40/6.63 (~((~v88(constB7, bitIndex0)) <=> v90(constB7, bitIndex0))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37351, 37346])).
% 8.40/6.63 tff(37353,plain,
% 8.40/6.63 (((~v88(constB7, bitIndex0)) <=> v90(constB7, bitIndex0)) | v88(constB7, bitIndex0) | (~v90(constB7, bitIndex0))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37354,plain,
% 8.40/6.63 (v88(constB7, bitIndex0)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37353, 4528, 37352])).
% 8.40/6.63 tff(37355,plain,
% 8.40/6.63 ((((~v88(constB7, bitIndex1)) <=> v90(constB7, bitIndex1)) | ((~v88(constB7, bitIndex2)) <=> v90(constB7, bitIndex2)) | ((~v88(constB7, bitIndex0)) <=> v90(constB7, bitIndex0))) | (~((~v88(constB7, bitIndex1)) <=> v90(constB7, bitIndex1)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37356,plain,
% 8.40/6.63 (~((~v88(constB7, bitIndex1)) <=> v90(constB7, bitIndex1))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37355, 37346])).
% 8.40/6.63 tff(37357,plain,
% 8.40/6.63 (((~v88(constB7, bitIndex1)) <=> v90(constB7, bitIndex1)) | v88(constB7, bitIndex1) | (~v90(constB7, bitIndex1))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37358,plain,
% 8.40/6.63 (v88(constB7, bitIndex1)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37357, 4546, 37356])).
% 8.40/6.63 tff(37359,plain,
% 8.40/6.63 ((~((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))) | (~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37360,plain,
% 8.40/6.63 (~((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37359, 37358, 37354, 37350])).
% 8.40/6.63 tff(37361,plain,
% 8.40/6.63 ((~(v141(constB7) <=> (~((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))) | v141(constB7) | ((~v88(constB7, bitIndex1)) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37362,plain,
% 8.40/6.63 (v141(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37361, 37360, 37344])).
% 8.40/6.63 tff(37363,plain,
% 8.40/6.63 ((v141(constB7) | v167(constB7)) | (~v141(constB7))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37364,plain,
% 8.40/6.63 (v141(constB7) | v167(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37363, 37362])).
% 8.40/6.63 tff(37365,plain,
% 8.40/6.63 ((~(v166(constB7) <=> (v141(constB7) | v167(constB7)))) | v166(constB7) | (~(v141(constB7) | v167(constB7)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37366,plain,
% 8.40/6.63 (v166(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37365, 37364, 37337])).
% 8.40/6.63 tff(37367,plain,
% 8.40/6.63 ((v142(constB7) | v166(constB7)) | (~v166(constB7))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37368,plain,
% 8.40/6.63 (v142(constB7) | v166(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37367, 37366])).
% 8.40/6.63 tff(37369,plain,
% 8.40/6.63 ((~(v165(constB7) <=> (v142(constB7) | v166(constB7)))) | v165(constB7) | (~(v142(constB7) | v166(constB7)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37370,plain,
% 8.40/6.63 ((~(v165(constB7) <=> (v142(constB7) | v166(constB7)))) | v165(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37369, 37368])).
% 8.40/6.63 tff(37371,plain,
% 8.40/6.63 (v165(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37370, 37335])).
% 8.40/6.63 tff(37372,plain,
% 8.40/6.63 ((v145(constB7) | v165(constB7)) | (~v165(constB7))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37373,plain,
% 8.40/6.63 (v145(constB7) | v165(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37372, 37371])).
% 8.40/6.63 tff(37374,plain,
% 8.40/6.63 ((~(v164(constB7) <=> (v145(constB7) | v165(constB7)))) | v164(constB7) | (~(v145(constB7) | v165(constB7)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37375,plain,
% 8.40/6.63 (v164(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37374, 37373, 37333])).
% 8.40/6.63 tff(37376,plain,
% 8.40/6.63 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB7)) | (v161(constB7) <=> v168(constB7)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB7)) | (v161(constB7) <=> v168(constB7)))),
% 8.40/6.63 inference(rewrite,[status(thm)],[])).
% 8.40/6.63 tff(37377,plain,
% 8.40/6.63 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB7)) | (v161(constB7) <=> v168(constB7)))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37378,plain,
% 8.40/6.63 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB7)) | (v161(constB7) <=> v168(constB7))),
% 8.40/6.63 inference(modus_ponens,[status(thm)],[37377, 37376])).
% 8.40/6.63 tff(37379,plain,
% 8.40/6.63 ((~v164(constB7)) | (v161(constB7) <=> v168(constB7))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37378, 12128])).
% 8.40/6.63 tff(37380,plain,
% 8.40/6.63 (v161(constB7) <=> v168(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37379, 37375])).
% 8.40/6.63 tff(37381,plain,
% 8.40/6.63 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB7) <=> (~(v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2))))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37382,plain,
% 8.40/6.63 (v139(constB7) <=> (~(v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2)))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37381, 12146])).
% 8.40/6.63 tff(37383,plain,
% 8.40/6.63 ((v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2)) | (~v88(constB7, bitIndex0))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37384,plain,
% 8.40/6.63 (v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37383, 37354])).
% 8.40/6.63 tff(37385,plain,
% 8.40/6.63 ((~(v139(constB7) <=> (~(v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2))))) | (~v139(constB7)) | (~(v88(constB7, bitIndex0) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37386,plain,
% 8.40/6.63 (~v139(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37385, 37384, 37382])).
% 8.40/6.63 tff(37387,plain,
% 8.40/6.63 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB7) <=> (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37388,plain,
% 8.40/6.63 (v140(constB7) <=> (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0))))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37387, 12165])).
% 8.40/6.63 tff(37389,plain,
% 8.40/6.63 ((v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0))) | (~v88(constB7, bitIndex1))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37390,plain,
% 8.40/6.63 (v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37389, 37358])).
% 8.40/6.63 tff(37391,plain,
% 8.40/6.63 ((~(v140(constB7) <=> (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)))))) | (~v140(constB7)) | (~(v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0))))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37392,plain,
% 8.40/6.63 (~v140(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37391, 37390, 37388])).
% 8.40/6.63 tff(37393,plain,
% 8.40/6.63 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB7) | v139(constB7) | (~v168(constB7)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB7) | v139(constB7) | (~v168(constB7)))),
% 8.40/6.63 inference(rewrite,[status(thm)],[])).
% 8.40/6.63 tff(37394,plain,
% 8.40/6.63 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB7) | v139(constB7) | (~v168(constB7)))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37395,plain,
% 8.40/6.63 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB7) | v139(constB7) | (~v168(constB7))),
% 8.40/6.63 inference(modus_ponens,[status(thm)],[37394, 37393])).
% 8.40/6.63 tff(37396,plain,
% 8.40/6.63 (v140(constB7) | v139(constB7) | (~v168(constB7))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37395, 12184])).
% 8.40/6.63 tff(37397,plain,
% 8.40/6.63 (~v168(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37396, 37392, 37386])).
% 8.40/6.63 tff(37398,plain,
% 8.40/6.63 ((~(v161(constB7) <=> v168(constB7))) | (~v161(constB7)) | v168(constB7)),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37399,plain,
% 8.40/6.63 ((~(v161(constB7) <=> v168(constB7))) | (~v161(constB7))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37398, 37397])).
% 8.40/6.63 tff(37400,plain,
% 8.40/6.63 (~v161(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37399, 37380])).
% 8.40/6.63 tff(37401,plain,
% 8.40/6.63 ((~(v159(constB7) <=> v161(constB7))) | (~v159(constB7)) | v161(constB7)),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37402,plain,
% 8.40/6.63 ((~(v159(constB7) <=> v161(constB7))) | (~v159(constB7))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37401, 37400])).
% 8.40/6.63 tff(37403,plain,
% 8.40/6.63 (~v159(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37402, 37331])).
% 8.40/6.63 tff(37404,plain,
% 8.40/6.63 (((~v184(constB7)) | (~v159(constB7))) | v159(constB7)),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37405,plain,
% 8.40/6.63 ((~v184(constB7)) | (~v159(constB7))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37404, 37403])).
% 8.40/6.63 tff(37406,plain,
% 8.40/6.63 ((~(v187(constB7) <=> (~((~v184(constB7)) | (~v159(constB7)))))) | (~v187(constB7)) | (~((~v184(constB7)) | (~v159(constB7))))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37407,plain,
% 8.40/6.63 (~v187(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37406, 37405, 37329])).
% 8.40/6.63 tff(37408,plain,
% 8.40/6.63 (((~v186(constB7)) | (~v187(constB7))) | v187(constB7)),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37409,plain,
% 8.40/6.63 ((~v186(constB7)) | (~v187(constB7))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37408, 37407])).
% 8.40/6.63 tff(37410,plain,
% 8.40/6.63 ((~(v185(constB7) <=> (~((~v186(constB7)) | (~v187(constB7)))))) | (~v185(constB7)) | (~((~v186(constB7)) | (~v187(constB7))))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37411,plain,
% 8.40/6.63 (~v185(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37410, 37409, 37327])).
% 8.40/6.63 tff(37412,plain,
% 8.40/6.63 ((~(v181(constB7) | v185(constB7))) | v181(constB7) | v185(constB7)),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37413,plain,
% 8.40/6.63 (~(v181(constB7) | v185(constB7))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37412, 37411, 37325])).
% 8.40/6.63 tff(37414,plain,
% 8.40/6.63 ((~(v178(constB7) <=> (v181(constB7) | v185(constB7)))) | (~v178(constB7)) | (v181(constB7) | v185(constB7))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37415,plain,
% 8.40/6.63 (~v178(constB7)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37414, 37413, 37252])).
% 8.40/6.63 tff(37416,plain,
% 8.40/6.63 ((~(v180(constB8) <=> v178(constB7))) | (~v180(constB8)) | v178(constB7)),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37417,plain,
% 8.40/6.63 (~v180(constB8)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37416, 37415, 37250])).
% 8.40/6.63 tff(37418,plain,
% 8.40/6.63 ((~(v157(constB8) <=> v180(constB8))) | (~v157(constB8)) | v180(constB8)),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37419,plain,
% 8.40/6.63 (~v157(constB8)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37418, 37417, 37246])).
% 8.40/6.63 tff(37420,plain,
% 8.40/6.63 (((~v157(constB8)) | (~v182(constB8))) | v157(constB8)),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37421,plain,
% 8.40/6.63 ((~v157(constB8)) | (~v182(constB8))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37420, 37419])).
% 8.40/6.63 tff(37422,plain,
% 8.40/6.63 ((~(v181(constB8) <=> (~((~v157(constB8)) | (~v182(constB8)))))) | (~v181(constB8)) | (~((~v157(constB8)) | (~v182(constB8))))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37423,plain,
% 8.40/6.63 (~v181(constB8)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37422, 37421, 37244])).
% 8.40/6.63 tff(37424,plain,
% 8.40/6.63 ((~(v181(constB8) | v185(constB8))) | v181(constB8) | v185(constB8)),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37425,plain,
% 8.40/6.63 (~(v181(constB8) | v185(constB8))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37424, 37423, 37237])).
% 8.40/6.63 tff(37426,plain,
% 8.40/6.63 ((~(v178(constB8) <=> (v181(constB8) | v185(constB8)))) | (~v178(constB8)) | (v181(constB8) | v185(constB8))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37427,plain,
% 8.40/6.63 (~v178(constB8)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37426, 37425, 37212])).
% 8.40/6.63 tff(37428,plain,
% 8.40/6.63 ((~(v180(constB9) <=> v178(constB8))) | (~v180(constB9)) | v178(constB8)),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37429,plain,
% 8.40/6.63 (~v180(constB9)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37428, 37427, 37210])).
% 8.40/6.63 tff(37430,plain,
% 8.40/6.63 ($false),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37429, 37206])).
% 8.40/6.63 tff(37431,plain,(~(constB9 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.63 tff(37432,assumption,(constB41 = VarCurr!0), introduced(assumption)).
% 8.40/6.63 tff(37433,plain,
% 8.40/6.63 (v86(constB41) <=> v86(VarCurr!0)),
% 8.40/6.63 inference(monotonicity,[status(thm)],[37432])).
% 8.40/6.63 tff(37434,plain,
% 8.40/6.63 (v86(VarCurr!0) <=> v86(constB41)),
% 8.40/6.63 inference(symmetry,[status(thm)],[37433])).
% 8.40/6.63 tff(37435,plain,
% 8.40/6.63 ((~v86(VarCurr!0)) <=> (~v86(constB41))),
% 8.40/6.63 inference(monotonicity,[status(thm)],[37434])).
% 8.40/6.63 tff(37436,plain,
% 8.40/6.63 (~v86(constB41)),
% 8.40/6.63 inference(modus_ponens,[status(thm)],[21766, 37435])).
% 8.40/6.63 tff(37437,plain,
% 8.40/6.63 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB41) <=> (v136(constB41) | v145(constB41)))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37438,plain,
% 8.40/6.63 (v135(constB41) <=> (v136(constB41) | v145(constB41))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37437, 21774])).
% 8.40/6.63 tff(37439,plain,
% 8.40/6.63 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB41) <=> (v137(constB41) | v142(constB41)))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37440,plain,
% 8.40/6.63 (v136(constB41) <=> (v137(constB41) | v142(constB41))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37439, 21783])).
% 8.40/6.63 tff(37441,plain,
% 8.40/6.63 ((v137(constB41) | v142(constB41)) | (~v142(constB41))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37442,plain,
% 8.40/6.63 (v137(constB41) | v142(constB41)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37441, 37137])).
% 8.40/6.63 tff(37443,plain,
% 8.40/6.63 ((~(v136(constB41) <=> (v137(constB41) | v142(constB41)))) | v136(constB41) | (~(v137(constB41) | v142(constB41)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37444,plain,
% 8.40/6.63 ((~(v136(constB41) <=> (v137(constB41) | v142(constB41)))) | v136(constB41)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37443, 37442])).
% 8.40/6.63 tff(37445,plain,
% 8.40/6.63 (v136(constB41)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37444, 37440])).
% 8.40/6.63 tff(37446,plain,
% 8.40/6.63 ((v136(constB41) | v145(constB41)) | (~v136(constB41))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37447,plain,
% 8.40/6.63 (v136(constB41) | v145(constB41)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37446, 37445])).
% 8.40/6.63 tff(37448,plain,
% 8.40/6.63 ((~(v135(constB41) <=> (v136(constB41) | v145(constB41)))) | v135(constB41) | (~(v136(constB41) | v145(constB41)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37449,plain,
% 8.40/6.63 (v135(constB41)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37448, 37447, 37438])).
% 8.40/6.63 tff(37450,plain,
% 8.40/6.63 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB41)) | (v86(constB41) <=> v148(constB41)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB41)) | (v86(constB41) <=> v148(constB41)))),
% 8.40/6.63 inference(rewrite,[status(thm)],[])).
% 8.40/6.63 tff(37451,plain,
% 8.40/6.63 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB41)) | (v86(constB41) <=> v148(constB41)))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37452,plain,
% 8.40/6.63 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB41)) | (v86(constB41) <=> v148(constB41))),
% 8.40/6.63 inference(modus_ponens,[status(thm)],[37451, 37450])).
% 8.40/6.63 tff(37453,plain,
% 8.40/6.63 (v86(constB41) <=> v148(constB41)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37452, 21855, 37449])).
% 8.40/6.63 tff(37454,plain,
% 8.40/6.63 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB41) | (~v142(constB41)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB41) | (~v142(constB41)))),
% 8.40/6.63 inference(rewrite,[status(thm)],[])).
% 8.40/6.63 tff(37455,plain,
% 8.40/6.63 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB41) | (~v142(constB41)))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37456,plain,
% 8.40/6.63 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB41) | (~v142(constB41))),
% 8.40/6.63 inference(modus_ponens,[status(thm)],[37455, 37454])).
% 8.40/6.63 tff(37457,plain,
% 8.40/6.63 (v148(constB41)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37456, 21869, 37137])).
% 8.40/6.63 tff(37458,plain,
% 8.40/6.63 ((~(v86(constB41) <=> v148(constB41))) | v86(constB41) | (~v148(constB41))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37459,plain,
% 8.40/6.63 ((~(v86(constB41) <=> v148(constB41))) | v86(constB41)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37458, 37457])).
% 8.40/6.63 tff(37460,plain,
% 8.40/6.63 (v86(constB41)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37459, 37453])).
% 8.40/6.63 tff(37461,plain,
% 8.40/6.63 ($false),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37460, 37436])).
% 8.40/6.63 tff(37462,plain,(~(constB41 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.40/6.63 tff(37463,assumption,(constB197 = VarCurr!0), introduced(assumption)).
% 8.40/6.63 tff(37464,plain,
% 8.40/6.63 (v86(constB197) <=> v86(VarCurr!0)),
% 8.40/6.63 inference(monotonicity,[status(thm)],[37463])).
% 8.40/6.63 tff(37465,plain,
% 8.40/6.63 (v86(VarCurr!0) <=> v86(constB197)),
% 8.40/6.63 inference(symmetry,[status(thm)],[37464])).
% 8.40/6.63 tff(37466,plain,
% 8.40/6.63 ((~v86(VarCurr!0)) <=> (~v86(constB197))),
% 8.40/6.63 inference(monotonicity,[status(thm)],[37465])).
% 8.40/6.63 tff(37467,plain,
% 8.40/6.63 (~v86(constB197)),
% 8.40/6.63 inference(modus_ponens,[status(thm)],[21766, 37466])).
% 8.40/6.63 tff(37468,plain,
% 8.40/6.63 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB197) <=> (v136(constB197) | v145(constB197)))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37469,plain,
% 8.40/6.63 (v135(constB197) <=> (v136(constB197) | v145(constB197))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37468, 21774])).
% 8.40/6.63 tff(37470,plain,
% 8.40/6.63 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB197) <=> (v137(constB197) | v142(constB197)))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37471,plain,
% 8.40/6.63 (v136(constB197) <=> (v137(constB197) | v142(constB197))),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37470, 21783])).
% 8.40/6.63 tff(37472,plain,
% 8.40/6.63 ((v137(constB197) | v142(constB197)) | (~v142(constB197))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37473,plain,
% 8.40/6.63 (v137(constB197) | v142(constB197)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37472, 31192])).
% 8.40/6.63 tff(37474,plain,
% 8.40/6.63 ((~(v136(constB197) <=> (v137(constB197) | v142(constB197)))) | v136(constB197) | (~(v137(constB197) | v142(constB197)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37475,plain,
% 8.40/6.63 ((~(v136(constB197) <=> (v137(constB197) | v142(constB197)))) | v136(constB197)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37474, 37473])).
% 8.40/6.63 tff(37476,plain,
% 8.40/6.63 (v136(constB197)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37475, 37471])).
% 8.40/6.63 tff(37477,plain,
% 8.40/6.63 ((v136(constB197) | v145(constB197)) | (~v136(constB197))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37478,plain,
% 8.40/6.63 (v136(constB197) | v145(constB197)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37477, 37476])).
% 8.40/6.63 tff(37479,plain,
% 8.40/6.63 ((~(v135(constB197) <=> (v136(constB197) | v145(constB197)))) | v135(constB197) | (~(v136(constB197) | v145(constB197)))),
% 8.40/6.63 inference(tautology,[status(thm)],[])).
% 8.40/6.63 tff(37480,plain,
% 8.40/6.63 (v135(constB197)),
% 8.40/6.63 inference(unit_resolution,[status(thm)],[37479, 37478, 37469])).
% 8.40/6.63 tff(37481,plain,
% 8.40/6.63 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB197)) | (v86(constB197) <=> v148(constB197)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB197)) | (v86(constB197) <=> v148(constB197)))),
% 8.40/6.63 inference(rewrite,[status(thm)],[])).
% 8.40/6.63 tff(37482,plain,
% 8.40/6.63 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB197)) | (v86(constB197) <=> v148(constB197)))),
% 8.40/6.63 inference(quant_inst,[status(thm)],[])).
% 8.40/6.63 tff(37483,plain,
% 8.40/6.63 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB197)) | (v86(constB197) <=> v148(constB197))),
% 8.52/6.63 inference(modus_ponens,[status(thm)],[37482, 37481])).
% 8.52/6.63 tff(37484,plain,
% 8.52/6.63 (v86(constB197) <=> v148(constB197)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37483, 21855, 37480])).
% 8.52/6.63 tff(37485,plain,
% 8.52/6.63 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB197) | (~v142(constB197)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB197) | (~v142(constB197)))),
% 8.52/6.63 inference(rewrite,[status(thm)],[])).
% 8.52/6.63 tff(37486,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB197) | (~v142(constB197)))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37487,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB197) | (~v142(constB197))),
% 8.52/6.63 inference(modus_ponens,[status(thm)],[37486, 37485])).
% 8.52/6.63 tff(37488,plain,
% 8.52/6.63 (v148(constB197)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37487, 21869, 31192])).
% 8.52/6.63 tff(37489,plain,
% 8.52/6.63 ((~(v86(constB197) <=> v148(constB197))) | v86(constB197) | (~v148(constB197))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37490,plain,
% 8.52/6.63 ((~(v86(constB197) <=> v148(constB197))) | v86(constB197)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37489, 37488])).
% 8.52/6.63 tff(37491,plain,
% 8.52/6.63 (v86(constB197)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37490, 37484])).
% 8.52/6.63 tff(37492,plain,
% 8.52/6.63 ($false),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37491, 37467])).
% 8.52/6.63 tff(37493,plain,(~(constB197 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.63 tff(37494,assumption,(constB145 = VarCurr!0), introduced(assumption)).
% 8.52/6.63 tff(37495,plain,
% 8.52/6.63 (v86(constB145) <=> v86(VarCurr!0)),
% 8.52/6.63 inference(monotonicity,[status(thm)],[37494])).
% 8.52/6.63 tff(37496,plain,
% 8.52/6.63 (v86(VarCurr!0) <=> v86(constB145)),
% 8.52/6.63 inference(symmetry,[status(thm)],[37495])).
% 8.52/6.63 tff(37497,plain,
% 8.52/6.63 ((~v86(VarCurr!0)) <=> (~v86(constB145))),
% 8.52/6.63 inference(monotonicity,[status(thm)],[37496])).
% 8.52/6.63 tff(37498,plain,
% 8.52/6.63 (~v86(constB145)),
% 8.52/6.63 inference(modus_ponens,[status(thm)],[21766, 37497])).
% 8.52/6.63 tff(37499,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB145) <=> (v136(constB145) | v145(constB145)))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37500,plain,
% 8.52/6.63 (v135(constB145) <=> (v136(constB145) | v145(constB145))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37499, 21774])).
% 8.52/6.63 tff(37501,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB145) <=> (v137(constB145) | v142(constB145)))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37502,plain,
% 8.52/6.63 (v136(constB145) <=> (v137(constB145) | v142(constB145))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37501, 21783])).
% 8.52/6.63 tff(37503,plain,
% 8.52/6.63 ((v137(constB145) | v142(constB145)) | (~v142(constB145))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37504,plain,
% 8.52/6.63 (v137(constB145) | v142(constB145)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37503, 31424])).
% 8.52/6.63 tff(37505,plain,
% 8.52/6.63 ((~(v136(constB145) <=> (v137(constB145) | v142(constB145)))) | v136(constB145) | (~(v137(constB145) | v142(constB145)))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37506,plain,
% 8.52/6.63 ((~(v136(constB145) <=> (v137(constB145) | v142(constB145)))) | v136(constB145)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37505, 37504])).
% 8.52/6.63 tff(37507,plain,
% 8.52/6.63 (v136(constB145)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37506, 37502])).
% 8.52/6.63 tff(37508,plain,
% 8.52/6.63 ((v136(constB145) | v145(constB145)) | (~v136(constB145))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37509,plain,
% 8.52/6.63 (v136(constB145) | v145(constB145)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37508, 37507])).
% 8.52/6.63 tff(37510,plain,
% 8.52/6.63 ((~(v135(constB145) <=> (v136(constB145) | v145(constB145)))) | v135(constB145) | (~(v136(constB145) | v145(constB145)))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37511,plain,
% 8.52/6.63 (v135(constB145)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37510, 37509, 37500])).
% 8.52/6.63 tff(37512,plain,
% 8.52/6.63 (((~![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)))),
% 8.52/6.63 inference(rewrite,[status(thm)],[])).
% 8.52/6.63 tff(37513,plain,
% 8.52/6.63 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB145)) | (v86(constB145) <=> v148(constB145)))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37514,plain,
% 8.52/6.63 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB145)) | (v86(constB145) <=> v148(constB145))),
% 8.52/6.63 inference(modus_ponens,[status(thm)],[37513, 37512])).
% 8.52/6.63 tff(37515,plain,
% 8.52/6.63 (v86(constB145) <=> v148(constB145)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37514, 21855, 37511])).
% 8.52/6.63 tff(37516,plain,
% 8.52/6.63 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB145) | (~v142(constB145)))),
% 8.52/6.63 inference(rewrite,[status(thm)],[])).
% 8.52/6.63 tff(37517,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB145) | (~v142(constB145)))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37518,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB145) | (~v142(constB145))),
% 8.52/6.63 inference(modus_ponens,[status(thm)],[37517, 37516])).
% 8.52/6.63 tff(37519,plain,
% 8.52/6.63 (v148(constB145)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37518, 21869, 31424])).
% 8.52/6.63 tff(37520,plain,
% 8.52/6.63 ((~(v86(constB145) <=> v148(constB145))) | v86(constB145) | (~v148(constB145))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37521,plain,
% 8.52/6.63 ((~(v86(constB145) <=> v148(constB145))) | v86(constB145)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37520, 37519])).
% 8.52/6.63 tff(37522,plain,
% 8.52/6.63 (v86(constB145)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37521, 37515])).
% 8.52/6.63 tff(37523,plain,
% 8.52/6.63 ($false),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37522, 37498])).
% 8.52/6.63 tff(37524,plain,(~(constB145 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.63 tff(37525,assumption,(constB97 = VarCurr!0), introduced(assumption)).
% 8.52/6.63 tff(37526,plain,
% 8.52/6.63 (v86(constB97) <=> v86(VarCurr!0)),
% 8.52/6.63 inference(monotonicity,[status(thm)],[37525])).
% 8.52/6.63 tff(37527,plain,
% 8.52/6.63 (v86(VarCurr!0) <=> v86(constB97)),
% 8.52/6.63 inference(symmetry,[status(thm)],[37526])).
% 8.52/6.63 tff(37528,plain,
% 8.52/6.63 ((~v86(VarCurr!0)) <=> (~v86(constB97))),
% 8.52/6.63 inference(monotonicity,[status(thm)],[37527])).
% 8.52/6.63 tff(37529,plain,
% 8.52/6.63 (~v86(constB97)),
% 8.52/6.63 inference(modus_ponens,[status(thm)],[21766, 37528])).
% 8.52/6.63 tff(37530,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v136(VarCurr) | v145(VarCurr)))) | (v135(constB97) <=> (v136(constB97) | v145(constB97)))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37531,plain,
% 8.52/6.63 (v135(constB97) <=> (v136(constB97) | v145(constB97))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37530, 21774])).
% 8.52/6.63 tff(37532,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v136(VarCurr) <=> (v137(VarCurr) | v142(VarCurr)))) | (v136(constB97) <=> (v137(constB97) | v142(constB97)))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37533,plain,
% 8.52/6.63 (v136(constB97) <=> (v137(constB97) | v142(constB97))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37532, 21783])).
% 8.52/6.63 tff(37534,plain,
% 8.52/6.63 ((v137(constB97) | v142(constB97)) | (~v142(constB97))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37535,plain,
% 8.52/6.63 (v137(constB97) | v142(constB97)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37534, 24003])).
% 8.52/6.63 tff(37536,plain,
% 8.52/6.63 ((~(v136(constB97) <=> (v137(constB97) | v142(constB97)))) | v136(constB97) | (~(v137(constB97) | v142(constB97)))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37537,plain,
% 8.52/6.63 ((~(v136(constB97) <=> (v137(constB97) | v142(constB97)))) | v136(constB97)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37536, 37535])).
% 8.52/6.63 tff(37538,plain,
% 8.52/6.63 (v136(constB97)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37537, 37533])).
% 8.52/6.63 tff(37539,plain,
% 8.52/6.63 ((v136(constB97) | v145(constB97)) | (~v136(constB97))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37540,plain,
% 8.52/6.63 (v136(constB97) | v145(constB97)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37539, 37538])).
% 8.52/6.63 tff(37541,plain,
% 8.52/6.63 ((~(v135(constB97) <=> (v136(constB97) | v145(constB97)))) | v135(constB97) | (~(v136(constB97) | v145(constB97)))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37542,plain,
% 8.52/6.63 (v135(constB97)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37541, 37540, 37531])).
% 8.52/6.63 tff(37543,plain,
% 8.52/6.63 (((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB97)) | (v86(constB97) <=> v148(constB97)))) <=> ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB97)) | (v86(constB97) <=> v148(constB97)))),
% 8.52/6.63 inference(rewrite,[status(thm)],[])).
% 8.52/6.63 tff(37544,plain,
% 8.52/6.63 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | ((~v135(constB97)) | (v86(constB97) <=> v148(constB97)))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37545,plain,
% 8.52/6.63 ((~![VarNext: $i] : ((~v135(VarNext)) | (v86(VarNext) <=> v148(VarNext)))) | (~v135(constB97)) | (v86(constB97) <=> v148(constB97))),
% 8.52/6.63 inference(modus_ponens,[status(thm)],[37544, 37543])).
% 8.52/6.63 tff(37546,plain,
% 8.52/6.63 (v86(constB97) <=> v148(constB97)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37545, 21855, 37542])).
% 8.52/6.63 tff(37547,plain,
% 8.52/6.63 (((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB97) | (~v142(constB97)))) <=> ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB97) | (~v142(constB97)))),
% 8.52/6.63 inference(rewrite,[status(thm)],[])).
% 8.52/6.63 tff(37548,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | (v148(constB97) | (~v142(constB97)))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37549,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v148(VarCurr) | (~v142(VarCurr)))) | v148(constB97) | (~v142(constB97))),
% 8.52/6.63 inference(modus_ponens,[status(thm)],[37548, 37547])).
% 8.52/6.63 tff(37550,plain,
% 8.52/6.63 (v148(constB97)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37549, 21869, 24003])).
% 8.52/6.63 tff(37551,plain,
% 8.52/6.63 ((~(v86(constB97) <=> v148(constB97))) | v86(constB97) | (~v148(constB97))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37552,plain,
% 8.52/6.63 ((~(v86(constB97) <=> v148(constB97))) | v86(constB97)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37551, 37550])).
% 8.52/6.63 tff(37553,plain,
% 8.52/6.63 (v86(constB97)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37552, 37546])).
% 8.52/6.63 tff(37554,plain,
% 8.52/6.63 ($false),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37553, 37529])).
% 8.52/6.63 tff(37555,plain,(~(constB97 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.63 tff(37556,assumption,(constB167 = VarCurr!0), introduced(assumption)).
% 8.52/6.63 tff(37557,plain,
% 8.52/6.63 (v180(constB167) <=> v180(VarCurr!0)),
% 8.52/6.63 inference(monotonicity,[status(thm)],[37556])).
% 8.52/6.63 tff(37558,plain,
% 8.52/6.63 (v180(VarCurr!0) <=> v180(constB167)),
% 8.52/6.63 inference(symmetry,[status(thm)],[37557])).
% 8.52/6.63 tff(37559,plain,
% 8.52/6.63 (v180(constB167)),
% 8.52/6.63 inference(modus_ponens,[status(thm)],[59, 37558])).
% 8.52/6.63 tff(37560,plain,
% 8.52/6.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB166, constB167)) | (v180(constB167) <=> v178(constB166)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB166, constB167)) | (v180(constB167) <=> v178(constB166)))),
% 8.52/6.63 inference(rewrite,[status(thm)],[])).
% 8.52/6.63 tff(37561,plain,
% 8.52/6.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB166, constB167)) | (v180(constB167) <=> v178(constB166)))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37562,plain,
% 8.52/6.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB166, constB167)) | (v180(constB167) <=> v178(constB166))),
% 8.52/6.63 inference(modus_ponens,[status(thm)],[37561, 37560])).
% 8.52/6.63 tff(37563,plain,
% 8.52/6.63 (v180(constB167) <=> v178(constB166)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37562, 13021, 70])).
% 8.52/6.63 tff(37564,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB166) <=> (v181(constB166) | v185(constB166)))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37565,plain,
% 8.52/6.63 (v178(constB166) <=> (v181(constB166) | v185(constB166))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37564, 84])).
% 8.52/6.63 tff(37566,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB166) <=> (~((~v186(constB166)) | (~v187(constB166)))))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37567,plain,
% 8.52/6.63 (v185(constB166) <=> (~((~v186(constB166)) | (~v187(constB166))))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37566, 96])).
% 8.52/6.63 tff(37568,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB166) <=> (~((~v184(constB166)) | (~v159(constB166)))))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37569,plain,
% 8.52/6.63 (v187(constB166) <=> (~((~v184(constB166)) | (~v159(constB166))))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37568, 108])).
% 8.52/6.63 tff(37570,plain,
% 8.52/6.63 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37571,plain,
% 8.52/6.63 (v184(constB166) <=> (~((~v39(constB166)) | (~v9(constB166))))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37570, 120])).
% 8.52/6.63 tff(37572,plain,
% 8.52/6.63 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB166)) <=> v1(constB166))),
% 8.52/6.63 inference(quant_inst,[status(thm)],[])).
% 8.52/6.63 tff(37573,plain,
% 8.52/6.63 ((~v39(constB166)) <=> v1(constB166)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37572, 129])).
% 8.52/6.63 tff(37574,plain,
% 8.52/6.63 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166)) | (~v1(constB166))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37575,plain,
% 8.52/6.63 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37574, 19934])).
% 8.52/6.63 tff(37576,plain,
% 8.52/6.63 (~v39(constB166)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37575, 37573])).
% 8.52/6.63 tff(37577,plain,
% 8.52/6.63 (((~v39(constB166)) | (~v9(constB166))) | v39(constB166)),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37578,plain,
% 8.52/6.63 ((~v39(constB166)) | (~v9(constB166))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37577, 37576])).
% 8.52/6.63 tff(37579,plain,
% 8.52/6.63 ((~(v184(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v184(constB166)) | (~((~v39(constB166)) | (~v9(constB166))))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37580,plain,
% 8.52/6.63 ((~(v184(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v184(constB166))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37579, 37578])).
% 8.52/6.63 tff(37581,plain,
% 8.52/6.63 (~v184(constB166)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37580, 37571])).
% 8.52/6.63 tff(37582,plain,
% 8.52/6.63 (((~v184(constB166)) | (~v159(constB166))) | v184(constB166)),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37583,plain,
% 8.52/6.63 ((~v184(constB166)) | (~v159(constB166))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37582, 37581])).
% 8.52/6.63 tff(37584,plain,
% 8.52/6.63 ((~(v187(constB166) <=> (~((~v184(constB166)) | (~v159(constB166)))))) | (~v187(constB166)) | (~((~v184(constB166)) | (~v159(constB166))))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37585,plain,
% 8.52/6.63 ((~(v187(constB166) <=> (~((~v184(constB166)) | (~v159(constB166)))))) | (~v187(constB166))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37584, 37583])).
% 8.52/6.63 tff(37586,plain,
% 8.52/6.63 (~v187(constB166)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37585, 37569])).
% 8.52/6.63 tff(37587,plain,
% 8.52/6.63 (((~v186(constB166)) | (~v187(constB166))) | v187(constB166)),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37588,plain,
% 8.52/6.63 ((~v186(constB166)) | (~v187(constB166))),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37587, 37586])).
% 8.52/6.63 tff(37589,plain,
% 8.52/6.63 ((~(v185(constB166) <=> (~((~v186(constB166)) | (~v187(constB166)))))) | (~v185(constB166)) | (~((~v186(constB166)) | (~v187(constB166))))),
% 8.52/6.63 inference(tautology,[status(thm)],[])).
% 8.52/6.63 tff(37590,plain,
% 8.52/6.63 (~v185(constB166)),
% 8.52/6.63 inference(unit_resolution,[status(thm)],[37589, 37588, 37567])).
% 8.52/6.63 tff(37591,plain,
% 8.52/6.63 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166))))))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37592,plain,
% 8.52/6.64 ((v181(constB166) <=> (~((~v182(constB166)) | (~v157(constB166))))) <=> (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166)))))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37593,plain,
% 8.52/6.64 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v182(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166))))))),
% 8.52/6.64 inference(monotonicity,[status(thm)],[37592])).
% 8.52/6.64 tff(37594,plain,
% 8.52/6.64 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v182(constB166)) | (~v157(constB166)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166))))))),
% 8.52/6.64 inference(transitivity,[status(thm)],[37593, 37591])).
% 8.52/6.64 tff(37595,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v182(constB166)) | (~v157(constB166)))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37596,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166)))))),
% 8.52/6.64 inference(modus_ponens,[status(thm)],[37595, 37594])).
% 8.52/6.64 tff(37597,plain,
% 8.52/6.64 (v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166))))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37596, 161])).
% 8.52/6.64 tff(37598,plain,
% 8.52/6.64 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB166) <=> v180(constB166))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37599,plain,
% 8.52/6.64 (v157(constB166) <=> v180(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37598, 13])).
% 8.52/6.64 tff(37600,plain,
% 8.52/6.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB165, constB166)) | (v180(constB166) <=> v178(constB165)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB165, constB166)) | (v180(constB166) <=> v178(constB165)))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37601,plain,
% 8.52/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB165, constB166)) | (v180(constB166) <=> v178(constB165)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37602,plain,
% 8.52/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB165, constB166)) | (v180(constB166) <=> v178(constB165))),
% 8.52/6.64 inference(modus_ponens,[status(thm)],[37601, 37600])).
% 8.52/6.64 tff(37603,plain,
% 8.52/6.64 (v180(constB166) <=> v178(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37602, 13057, 70])).
% 8.52/6.64 tff(37604,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB165) <=> (v181(constB165) | v185(constB165)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37605,plain,
% 8.52/6.64 (v178(constB165) <=> (v181(constB165) | v185(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37604, 84])).
% 8.52/6.64 tff(37606,plain,
% 8.52/6.64 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165))))))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37607,plain,
% 8.52/6.64 ((v181(constB165) <=> (~((~v182(constB165)) | (~v157(constB165))))) <=> (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165)))))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37608,plain,
% 8.52/6.64 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v182(constB165)) | (~v157(constB165)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165))))))),
% 8.52/6.64 inference(monotonicity,[status(thm)],[37607])).
% 8.52/6.64 tff(37609,plain,
% 8.52/6.64 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v182(constB165)) | (~v157(constB165)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165))))))),
% 8.52/6.64 inference(transitivity,[status(thm)],[37608, 37606])).
% 8.52/6.64 tff(37610,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v182(constB165)) | (~v157(constB165)))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37611,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165)))))),
% 8.52/6.64 inference(modus_ponens,[status(thm)],[37610, 37609])).
% 8.52/6.64 tff(37612,plain,
% 8.52/6.64 (v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165))))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37611, 161])).
% 8.52/6.64 tff(37613,plain,
% 8.52/6.64 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB165)) <=> v183(constB165))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37614,plain,
% 8.52/6.64 ((~v182(constB165)) <=> v183(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37613, 193])).
% 8.52/6.64 tff(37615,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB165) <=> (v184(constB165) | v26(constB165)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37616,plain,
% 8.52/6.64 (v183(constB165) <=> (v184(constB165) | v26(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37615, 202])).
% 8.52/6.64 tff(37617,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37618,plain,
% 8.52/6.64 (v184(constB165) <=> (~((~v39(constB165)) | (~v9(constB165))))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37617, 120])).
% 8.52/6.64 tff(37619,plain,
% 8.52/6.64 (((~![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)))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37620,plain,
% 8.52/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37621,plain,
% 8.52/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165))),
% 8.52/6.64 inference(modus_ponens,[status(thm)],[37620, 37619])).
% 8.52/6.64 tff(37622,plain,
% 8.52/6.64 (v13(constB166) <=> v9(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37621, 13057, 216])).
% 8.52/6.64 tff(37623,plain,
% 8.52/6.64 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB166) <=> v13(constB166))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37624,plain,
% 8.52/6.64 (v6(constB166) <=> v13(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37623, 230])).
% 8.52/6.64 tff(37625,plain,
% 8.52/6.64 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB166)) <=> v6(constB166))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37626,plain,
% 8.52/6.64 ((~v21(constB166)) <=> v6(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37625, 239])).
% 8.52/6.64 tff(37627,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB166) <=> (v20(constB166) | v21(constB166)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37628,plain,
% 8.52/6.64 (v19(constB166) <=> (v20(constB166) | v21(constB166))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37627, 248])).
% 8.52/6.64 tff(37629,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37630,plain,
% 8.52/6.64 (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166))))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37629, 260])).
% 8.52/6.64 tff(37631,plain,
% 8.52/6.64 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB166)) <=> v18(constB166))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37632,plain,
% 8.52/6.64 ((~v4(constB166)) <=> v18(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37631, 269])).
% 8.52/6.64 tff(37633,plain,
% 8.52/6.64 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB166)),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37634,plain,
% 8.52/6.64 (v4(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37633, 278])).
% 8.52/6.64 tff(37635,plain,
% 8.52/6.64 ((~((~v4(constB166)) <=> v18(constB166))) | (~v4(constB166)) | (~v18(constB166))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37636,plain,
% 8.52/6.64 (~v18(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37635, 37634, 37632])).
% 8.52/6.64 tff(37637,plain,
% 8.52/6.64 ((~(v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))) | v18(constB166) | ((~v19(constB166)) | (~v22(constB166)))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37638,plain,
% 8.52/6.64 ((~v19(constB166)) | (~v22(constB166))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37637, 37636, 37630])).
% 8.52/6.64 tff(37639,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB166) <=> (v1(constB166) | v6(constB166)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37640,plain,
% 8.52/6.64 (v22(constB166) <=> (v1(constB166) | v6(constB166))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37639, 291])).
% 8.52/6.64 tff(37641,plain,
% 8.52/6.64 ((v1(constB166) | v6(constB166)) | (~v1(constB166))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37642,plain,
% 8.52/6.64 (v1(constB166) | v6(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37641, 19934])).
% 8.52/6.64 tff(37643,plain,
% 8.52/6.64 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166) | (~(v1(constB166) | v6(constB166)))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37644,plain,
% 8.52/6.64 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37643, 37642])).
% 8.52/6.64 tff(37645,plain,
% 8.52/6.64 (v22(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37644, 37640])).
% 8.52/6.64 tff(37646,plain,
% 8.52/6.64 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166)) | (~v22(constB166))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37647,plain,
% 8.52/6.64 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37646, 37645])).
% 8.52/6.64 tff(37648,plain,
% 8.52/6.64 (~v19(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37647, 37638])).
% 8.52/6.64 tff(37649,plain,
% 8.52/6.64 ((~(v19(constB166) <=> (v20(constB166) | v21(constB166)))) | v19(constB166) | (~(v20(constB166) | v21(constB166)))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37650,plain,
% 8.52/6.64 (~(v20(constB166) | v21(constB166))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37649, 37648, 37628])).
% 8.52/6.64 tff(37651,plain,
% 8.52/6.64 ((v20(constB166) | v21(constB166)) | (~v21(constB166))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37652,plain,
% 8.52/6.64 (~v21(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37651, 37650])).
% 8.52/6.64 tff(37653,plain,
% 8.52/6.64 ((~((~v21(constB166)) <=> v6(constB166))) | v21(constB166) | v6(constB166)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37654,plain,
% 8.52/6.64 (v6(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37653, 37652, 37626])).
% 8.52/6.64 tff(37655,plain,
% 8.52/6.64 ((~(v6(constB166) <=> v13(constB166))) | (~v6(constB166)) | v13(constB166)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37656,plain,
% 8.52/6.64 (v13(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37655, 37654, 37624])).
% 8.52/6.64 tff(37657,plain,
% 8.52/6.64 ((~(v13(constB166) <=> v9(constB165))) | (~v13(constB166)) | v9(constB165)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37658,plain,
% 8.52/6.64 (v9(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37657, 37656, 37622])).
% 8.52/6.64 tff(37659,plain,
% 8.52/6.64 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB165)) <=> v1(constB165))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37660,plain,
% 8.52/6.64 ((~v39(constB165)) <=> v1(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37659, 129])).
% 8.52/6.64 tff(37661,plain,
% 8.52/6.64 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165) | v1(constB165)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37662,plain,
% 8.52/6.64 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37661, 13101])).
% 8.52/6.64 tff(37663,plain,
% 8.52/6.64 (v39(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37662, 37660])).
% 8.52/6.64 tff(37664,plain,
% 8.52/6.64 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v39(constB165)) | (~v9(constB165))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37665,plain,
% 8.52/6.64 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v9(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37664, 37663])).
% 8.52/6.64 tff(37666,plain,
% 8.52/6.64 (~((~v39(constB165)) | (~v9(constB165)))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37665, 37658])).
% 8.52/6.64 tff(37667,plain,
% 8.52/6.64 ((~(v184(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))) | v184(constB165) | ((~v39(constB165)) | (~v9(constB165)))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37668,plain,
% 8.52/6.64 (v184(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37667, 37666, 37618])).
% 8.52/6.64 tff(37669,plain,
% 8.52/6.64 ((v184(constB165) | v26(constB165)) | (~v184(constB165))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37670,plain,
% 8.52/6.64 (v184(constB165) | v26(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37669, 37668])).
% 8.52/6.64 tff(37671,plain,
% 8.52/6.64 ((~(v183(constB165) <=> (v184(constB165) | v26(constB165)))) | v183(constB165) | (~(v184(constB165) | v26(constB165)))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37672,plain,
% 8.52/6.64 (v183(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37671, 37670, 37616])).
% 8.52/6.64 tff(37673,plain,
% 8.52/6.64 ((~((~v182(constB165)) <=> v183(constB165))) | (~v182(constB165)) | (~v183(constB165))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37674,plain,
% 8.52/6.64 (~v182(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37673, 37672, 37614])).
% 8.52/6.64 tff(37675,plain,
% 8.52/6.64 (((~v157(constB165)) | (~v182(constB165))) | v182(constB165)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37676,plain,
% 8.52/6.64 ((~v157(constB165)) | (~v182(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37675, 37674])).
% 8.52/6.64 tff(37677,plain,
% 8.52/6.64 ((~(v181(constB165) <=> (~((~v157(constB165)) | (~v182(constB165)))))) | (~v181(constB165)) | (~((~v157(constB165)) | (~v182(constB165))))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37678,plain,
% 8.52/6.64 (~v181(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37677, 37676, 37612])).
% 8.52/6.64 tff(37679,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB165) <=> (~((~v186(constB165)) | (~v187(constB165)))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37680,plain,
% 8.52/6.64 (v185(constB165) <=> (~((~v186(constB165)) | (~v187(constB165))))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37679, 96])).
% 8.52/6.64 tff(37681,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB165) <=> (~((~v184(constB165)) | (~v159(constB165)))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37682,plain,
% 8.52/6.64 (v187(constB165) <=> (~((~v184(constB165)) | (~v159(constB165))))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37681, 108])).
% 8.52/6.64 tff(37683,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB165) <=> v161(constB165))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37684,plain,
% 8.52/6.64 (v159(constB165) <=> v161(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37683, 345])).
% 8.52/6.64 tff(37685,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB165) <=> (v145(constB165) | v165(constB165)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37686,plain,
% 8.52/6.64 (v164(constB165) <=> (v145(constB165) | v165(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37685, 357])).
% 8.52/6.64 tff(37687,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB165) <=> (v146(constB165) | v147(constB165)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37688,plain,
% 8.52/6.64 (v145(constB165) <=> (v146(constB165) | v147(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37687, 24729])).
% 8.52/6.64 tff(37689,plain,
% 8.52/6.64 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~(v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~(v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0)))))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37690,plain,
% 8.52/6.64 ((v146(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2))))) <=> (v146(constB165) <=> (~(v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37691,plain,
% 8.52/6.64 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~(v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0)))))),
% 8.52/6.64 inference(monotonicity,[status(thm)],[37690])).
% 8.52/6.64 tff(37692,plain,
% 8.52/6.64 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~(v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0)))))),
% 8.52/6.64 inference(transitivity,[status(thm)],[37691, 37689])).
% 8.52/6.64 tff(37693,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37694,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB165) <=> (~(v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))))),
% 8.52/6.64 inference(modus_ponens,[status(thm)],[37693, 37692])).
% 8.52/6.64 tff(37695,plain,
% 8.52/6.64 (v146(constB165) <=> (~(v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0)))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37694, 24744])).
% 8.52/6.64 tff(37696,plain,
% 8.52/6.64 ((~![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))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37697,plain,
% 8.52/6.64 (~(((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)) | ((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)) | ((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0)))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37696, 416])).
% 8.52/6.64 tff(37698,plain,
% 8.52/6.64 ((((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)) | ((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)) | ((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0))) | (~((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37699,plain,
% 8.52/6.64 (~((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37698, 37697])).
% 8.52/6.64 tff(37700,plain,
% 8.52/6.64 (((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)) | v88(constB165, bitIndex2) | (~v90(constB165, bitIndex2))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37701,plain,
% 8.52/6.64 (v88(constB165, bitIndex2)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37700, 19856, 37699])).
% 8.52/6.64 tff(37702,plain,
% 8.52/6.64 ((((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)) | ((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)) | ((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0))) | (~((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0)))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37703,plain,
% 8.52/6.64 (~((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37702, 37697])).
% 8.52/6.64 tff(37704,plain,
% 8.52/6.64 (((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0)) | (~v88(constB165, bitIndex0)) | v90(constB165, bitIndex0)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37705,plain,
% 8.52/6.64 (~v88(constB165, bitIndex0)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37704, 19874, 37703])).
% 8.52/6.64 tff(37706,plain,
% 8.52/6.64 ((((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)) | ((~v88(constB165, bitIndex2)) <=> v90(constB165, bitIndex2)) | ((~v88(constB165, bitIndex0)) <=> v90(constB165, bitIndex0))) | (~((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37707,plain,
% 8.52/6.64 (~((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37706, 37697])).
% 8.52/6.64 tff(37708,plain,
% 8.52/6.64 (((~v88(constB165, bitIndex1)) <=> v90(constB165, bitIndex1)) | (~v88(constB165, bitIndex1)) | v90(constB165, bitIndex1)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37709,plain,
% 8.52/6.64 (~v88(constB165, bitIndex1)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37708, 19892, 37707])).
% 8.52/6.64 tff(37710,plain,
% 8.52/6.64 ((~(v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))) | v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37711,plain,
% 8.52/6.64 (~(v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37710, 37709, 37705, 37701])).
% 8.52/6.64 tff(37712,plain,
% 8.52/6.64 ((~(v146(constB165) <=> (~(v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))))) | v146(constB165) | (v88(constB165, bitIndex1) | (~v88(constB165, bitIndex2)) | v88(constB165, bitIndex0))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37713,plain,
% 8.52/6.64 (v146(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37712, 37711, 37695])).
% 8.52/6.64 tff(37714,plain,
% 8.52/6.64 ((v146(constB165) | v147(constB165)) | (~v146(constB165))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37715,plain,
% 8.52/6.64 (v146(constB165) | v147(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37714, 37713])).
% 8.52/6.64 tff(37716,plain,
% 8.52/6.64 ((~(v145(constB165) <=> (v146(constB165) | v147(constB165)))) | v145(constB165) | (~(v146(constB165) | v147(constB165)))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37717,plain,
% 8.52/6.64 (v145(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37716, 37715, 37688])).
% 8.52/6.64 tff(37718,plain,
% 8.52/6.64 ((v145(constB165) | v165(constB165)) | (~v145(constB165))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37719,plain,
% 8.52/6.64 (v145(constB165) | v165(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37718, 37717])).
% 8.52/6.64 tff(37720,plain,
% 8.52/6.64 ((~(v164(constB165) <=> (v145(constB165) | v165(constB165)))) | v164(constB165) | (~(v145(constB165) | v165(constB165)))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37721,plain,
% 8.52/6.64 ((~(v164(constB165) <=> (v145(constB165) | v165(constB165)))) | v164(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37720, 37719])).
% 8.52/6.64 tff(37722,plain,
% 8.52/6.64 (v164(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37721, 37686])).
% 8.52/6.64 tff(37723,plain,
% 8.52/6.64 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB165)) | (v161(constB165) <=> v168(constB165)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB165)) | (v161(constB165) <=> v168(constB165)))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37724,plain,
% 8.52/6.64 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB165)) | (v161(constB165) <=> v168(constB165)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37725,plain,
% 8.52/6.64 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB165)) | (v161(constB165) <=> v168(constB165))),
% 8.52/6.64 inference(modus_ponens,[status(thm)],[37724, 37723])).
% 8.52/6.64 tff(37726,plain,
% 8.52/6.64 ((~v164(constB165)) | (v161(constB165) <=> v168(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37725, 12128])).
% 8.52/6.64 tff(37727,plain,
% 8.52/6.64 (v161(constB165) <=> v168(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37726, 37722])).
% 8.52/6.64 tff(37728,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37729,plain,
% 8.52/6.64 (v139(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2)))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37728, 12146])).
% 8.52/6.64 tff(37730,plain,
% 8.52/6.64 ((v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2)) | (~v88(constB165, bitIndex2))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37731,plain,
% 8.52/6.64 (v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37730, 37701])).
% 8.52/6.64 tff(37732,plain,
% 8.52/6.64 ((~(v139(constB165) <=> (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2))))) | (~v139(constB165)) | (~(v88(constB165, bitIndex0) | v88(constB165, bitIndex1) | v88(constB165, bitIndex2)))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37733,plain,
% 8.52/6.64 (~v139(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37732, 37731, 37729])).
% 8.52/6.64 tff(37734,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB165) <=> (~(v88(constB165, bitIndex1) | v88(constB165, bitIndex2) | (~v88(constB165, bitIndex0)))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37735,plain,
% 8.52/6.64 (v140(constB165) <=> (~(v88(constB165, bitIndex1) | v88(constB165, bitIndex2) | (~v88(constB165, bitIndex0))))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37734, 12165])).
% 8.52/6.64 tff(37736,plain,
% 8.52/6.64 ((v88(constB165, bitIndex1) | v88(constB165, bitIndex2) | (~v88(constB165, bitIndex0))) | (~v88(constB165, bitIndex2))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37737,plain,
% 8.52/6.64 (v88(constB165, bitIndex1) | v88(constB165, bitIndex2) | (~v88(constB165, bitIndex0))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37736, 37701])).
% 8.52/6.64 tff(37738,plain,
% 8.52/6.64 ((~(v140(constB165) <=> (~(v88(constB165, bitIndex1) | v88(constB165, bitIndex2) | (~v88(constB165, bitIndex0)))))) | (~v140(constB165)) | (~(v88(constB165, bitIndex1) | v88(constB165, bitIndex2) | (~v88(constB165, bitIndex0))))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37739,plain,
% 8.52/6.64 (~v140(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37738, 37737, 37735])).
% 8.52/6.64 tff(37740,plain,
% 8.52/6.64 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB165) | v140(constB165) | (~v168(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB165) | v140(constB165) | (~v168(constB165)))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37741,plain,
% 8.52/6.64 ((v140(constB165) | v139(constB165) | (~v168(constB165))) <=> (v139(constB165) | v140(constB165) | (~v168(constB165)))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37742,plain,
% 8.52/6.64 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v168(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v139(constB165) | v140(constB165) | (~v168(constB165))))),
% 8.52/6.64 inference(monotonicity,[status(thm)],[37741])).
% 8.52/6.64 tff(37743,plain,
% 8.52/6.64 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v168(constB165)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB165) | v140(constB165) | (~v168(constB165)))),
% 8.52/6.64 inference(transitivity,[status(thm)],[37742, 37740])).
% 8.52/6.64 tff(37744,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB165) | v139(constB165) | (~v168(constB165)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37745,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v139(constB165) | v140(constB165) | (~v168(constB165))),
% 8.52/6.64 inference(modus_ponens,[status(thm)],[37744, 37743])).
% 8.52/6.64 tff(37746,plain,
% 8.52/6.64 (v139(constB165) | v140(constB165) | (~v168(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37745, 12184])).
% 8.52/6.64 tff(37747,plain,
% 8.52/6.64 (~v168(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37746, 37739, 37733])).
% 8.52/6.64 tff(37748,plain,
% 8.52/6.64 ((~(v161(constB165) <=> v168(constB165))) | (~v161(constB165)) | v168(constB165)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37749,plain,
% 8.52/6.64 ((~(v161(constB165) <=> v168(constB165))) | (~v161(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37748, 37747])).
% 8.52/6.64 tff(37750,plain,
% 8.52/6.64 (~v161(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37749, 37727])).
% 8.52/6.64 tff(37751,plain,
% 8.52/6.64 ((~(v159(constB165) <=> v161(constB165))) | (~v159(constB165)) | v161(constB165)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37752,plain,
% 8.52/6.64 ((~(v159(constB165) <=> v161(constB165))) | (~v159(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37751, 37750])).
% 8.52/6.64 tff(37753,plain,
% 8.52/6.64 (~v159(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37752, 37684])).
% 8.52/6.64 tff(37754,plain,
% 8.52/6.64 (((~v184(constB165)) | (~v159(constB165))) | v159(constB165)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37755,plain,
% 8.52/6.64 ((~v184(constB165)) | (~v159(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37754, 37753])).
% 8.52/6.64 tff(37756,plain,
% 8.52/6.64 ((~(v187(constB165) <=> (~((~v184(constB165)) | (~v159(constB165)))))) | (~v187(constB165)) | (~((~v184(constB165)) | (~v159(constB165))))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37757,plain,
% 8.52/6.64 (~v187(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37756, 37755, 37682])).
% 8.52/6.64 tff(37758,plain,
% 8.52/6.64 (((~v186(constB165)) | (~v187(constB165))) | v187(constB165)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37759,plain,
% 8.52/6.64 ((~v186(constB165)) | (~v187(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37758, 37757])).
% 8.52/6.64 tff(37760,plain,
% 8.52/6.64 ((~(v185(constB165) <=> (~((~v186(constB165)) | (~v187(constB165)))))) | (~v185(constB165)) | (~((~v186(constB165)) | (~v187(constB165))))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37761,plain,
% 8.52/6.64 (~v185(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37760, 37759, 37680])).
% 8.52/6.64 tff(37762,plain,
% 8.52/6.64 ((~(v181(constB165) | v185(constB165))) | v181(constB165) | v185(constB165)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37763,plain,
% 8.52/6.64 (~(v181(constB165) | v185(constB165))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37762, 37761, 37678])).
% 8.52/6.64 tff(37764,plain,
% 8.52/6.64 ((~(v178(constB165) <=> (v181(constB165) | v185(constB165)))) | (~v178(constB165)) | (v181(constB165) | v185(constB165))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37765,plain,
% 8.52/6.64 (~v178(constB165)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37764, 37763, 37605])).
% 8.52/6.64 tff(37766,plain,
% 8.52/6.64 ((~(v180(constB166) <=> v178(constB165))) | (~v180(constB166)) | v178(constB165)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37767,plain,
% 8.52/6.64 (~v180(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37766, 37765, 37603])).
% 8.52/6.64 tff(37768,plain,
% 8.52/6.64 ((~(v157(constB166) <=> v180(constB166))) | (~v157(constB166)) | v180(constB166)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37769,plain,
% 8.52/6.64 (~v157(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37768, 37767, 37599])).
% 8.52/6.64 tff(37770,plain,
% 8.52/6.64 (((~v157(constB166)) | (~v182(constB166))) | v157(constB166)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37771,plain,
% 8.52/6.64 ((~v157(constB166)) | (~v182(constB166))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37770, 37769])).
% 8.52/6.64 tff(37772,plain,
% 8.52/6.64 ((~(v181(constB166) <=> (~((~v157(constB166)) | (~v182(constB166)))))) | (~v181(constB166)) | (~((~v157(constB166)) | (~v182(constB166))))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37773,plain,
% 8.52/6.64 (~v181(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37772, 37771, 37597])).
% 8.52/6.64 tff(37774,plain,
% 8.52/6.64 ((~(v181(constB166) | v185(constB166))) | v181(constB166) | v185(constB166)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37775,plain,
% 8.52/6.64 (~(v181(constB166) | v185(constB166))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37774, 37773, 37590])).
% 8.52/6.64 tff(37776,plain,
% 8.52/6.64 ((~(v178(constB166) <=> (v181(constB166) | v185(constB166)))) | (~v178(constB166)) | (v181(constB166) | v185(constB166))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37777,plain,
% 8.52/6.64 (~v178(constB166)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37776, 37775, 37565])).
% 8.52/6.64 tff(37778,plain,
% 8.52/6.64 ((~(v180(constB167) <=> v178(constB166))) | (~v180(constB167)) | v178(constB166)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37779,plain,
% 8.52/6.64 (~v180(constB167)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37778, 37777, 37563])).
% 8.52/6.64 tff(37780,plain,
% 8.52/6.64 ($false),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37779, 37559])).
% 8.52/6.64 tff(37781,plain,(~(constB167 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.64 tff(37782,assumption,(constB21 = VarCurr!0), introduced(assumption)).
% 8.52/6.64 tff(37783,plain,
% 8.52/6.64 (v180(constB21) <=> v180(VarCurr!0)),
% 8.52/6.64 inference(monotonicity,[status(thm)],[37782])).
% 8.52/6.64 tff(37784,plain,
% 8.52/6.64 (v180(VarCurr!0) <=> v180(constB21)),
% 8.52/6.64 inference(symmetry,[status(thm)],[37783])).
% 8.52/6.64 tff(37785,plain,
% 8.52/6.64 (v180(constB21)),
% 8.52/6.64 inference(modus_ponens,[status(thm)],[59, 37784])).
% 8.52/6.64 tff(37786,plain,
% 8.52/6.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB20, constB21)) | (v180(constB21) <=> v178(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB20, constB21)) | (v180(constB21) <=> v178(constB20)))),
% 8.52/6.64 inference(rewrite,[status(thm)],[])).
% 8.52/6.64 tff(37787,plain,
% 8.52/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB20, constB21)) | (v180(constB21) <=> v178(constB20)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37788,plain,
% 8.52/6.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB20, constB21)) | (v180(constB21) <=> v178(constB20))),
% 8.52/6.64 inference(modus_ponens,[status(thm)],[37787, 37786])).
% 8.52/6.64 tff(37789,plain,
% 8.52/6.64 (v180(constB21) <=> v178(constB20)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37788, 3219, 70])).
% 8.52/6.64 tff(37790,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB20) <=> (v181(constB20) | v185(constB20)))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37791,plain,
% 8.52/6.64 (v178(constB20) <=> (v181(constB20) | v185(constB20))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37790, 84])).
% 8.52/6.64 tff(37792,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB20) <=> (~((~v186(constB20)) | (~v187(constB20)))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37793,plain,
% 8.52/6.64 (v185(constB20) <=> (~((~v186(constB20)) | (~v187(constB20))))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37792, 96])).
% 8.52/6.64 tff(37794,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB20) <=> (~((~v184(constB20)) | (~v159(constB20)))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37795,plain,
% 8.52/6.64 (v187(constB20) <=> (~((~v184(constB20)) | (~v159(constB20))))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37794, 108])).
% 8.52/6.64 tff(37796,plain,
% 8.52/6.64 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37797,plain,
% 8.52/6.64 (v184(constB20) <=> (~((~v39(constB20)) | (~v9(constB20))))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37796, 120])).
% 8.52/6.64 tff(37798,plain,
% 8.52/6.64 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB20)) <=> v1(constB20))),
% 8.52/6.64 inference(quant_inst,[status(thm)],[])).
% 8.52/6.64 tff(37799,plain,
% 8.52/6.64 ((~v39(constB20)) <=> v1(constB20)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37798, 129])).
% 8.52/6.64 tff(37800,plain,
% 8.52/6.64 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20)) | (~v1(constB20))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37801,plain,
% 8.52/6.64 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37800, 5588])).
% 8.52/6.64 tff(37802,plain,
% 8.52/6.64 (~v39(constB20)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37801, 37799])).
% 8.52/6.64 tff(37803,plain,
% 8.52/6.64 (((~v39(constB20)) | (~v9(constB20))) | v39(constB20)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37804,plain,
% 8.52/6.64 ((~v39(constB20)) | (~v9(constB20))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37803, 37802])).
% 8.52/6.64 tff(37805,plain,
% 8.52/6.64 ((~(v184(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v184(constB20)) | (~((~v39(constB20)) | (~v9(constB20))))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37806,plain,
% 8.52/6.64 ((~(v184(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v184(constB20))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37805, 37804])).
% 8.52/6.64 tff(37807,plain,
% 8.52/6.64 (~v184(constB20)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37806, 37797])).
% 8.52/6.64 tff(37808,plain,
% 8.52/6.64 (((~v184(constB20)) | (~v159(constB20))) | v184(constB20)),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37809,plain,
% 8.52/6.64 ((~v184(constB20)) | (~v159(constB20))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37808, 37807])).
% 8.52/6.64 tff(37810,plain,
% 8.52/6.64 ((~(v187(constB20) <=> (~((~v184(constB20)) | (~v159(constB20)))))) | (~v187(constB20)) | (~((~v184(constB20)) | (~v159(constB20))))),
% 8.52/6.64 inference(tautology,[status(thm)],[])).
% 8.52/6.64 tff(37811,plain,
% 8.52/6.64 ((~(v187(constB20) <=> (~((~v184(constB20)) | (~v159(constB20)))))) | (~v187(constB20))),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37810, 37809])).
% 8.52/6.64 tff(37812,plain,
% 8.52/6.64 (~v187(constB20)),
% 8.52/6.64 inference(unit_resolution,[status(thm)],[37811, 37795])).
% 8.52/6.64 tff(37813,plain,
% 8.52/6.64 (((~v186(constB20)) | (~v187(constB20))) | v187(constB20)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37814,plain,
% 8.52/6.65 ((~v186(constB20)) | (~v187(constB20))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37813, 37812])).
% 8.52/6.65 tff(37815,plain,
% 8.52/6.65 ((~(v185(constB20) <=> (~((~v186(constB20)) | (~v187(constB20)))))) | (~v185(constB20)) | (~((~v186(constB20)) | (~v187(constB20))))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37816,plain,
% 8.52/6.65 (~v185(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37815, 37814, 37793])).
% 8.52/6.65 tff(37817,plain,
% 8.52/6.65 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20))))))),
% 8.52/6.65 inference(rewrite,[status(thm)],[])).
% 8.52/6.65 tff(37818,plain,
% 8.52/6.65 ((v181(constB20) <=> (~((~v182(constB20)) | (~v157(constB20))))) <=> (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20)))))),
% 8.52/6.65 inference(rewrite,[status(thm)],[])).
% 8.52/6.65 tff(37819,plain,
% 8.52/6.65 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v182(constB20)) | (~v157(constB20)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20))))))),
% 8.52/6.65 inference(monotonicity,[status(thm)],[37818])).
% 8.52/6.65 tff(37820,plain,
% 8.52/6.65 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v182(constB20)) | (~v157(constB20)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20))))))),
% 8.52/6.65 inference(transitivity,[status(thm)],[37819, 37817])).
% 8.52/6.65 tff(37821,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v182(constB20)) | (~v157(constB20)))))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37822,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20)))))),
% 8.52/6.65 inference(modus_ponens,[status(thm)],[37821, 37820])).
% 8.52/6.65 tff(37823,plain,
% 8.52/6.65 (v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20))))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37822, 161])).
% 8.52/6.65 tff(37824,plain,
% 8.52/6.65 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB20) <=> v180(constB20))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37825,plain,
% 8.52/6.65 (v157(constB20) <=> v180(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37824, 13])).
% 8.52/6.65 tff(37826,plain,
% 8.52/6.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB19, constB20)) | (v180(constB20) <=> v178(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB19, constB20)) | (v180(constB20) <=> v178(constB19)))),
% 8.52/6.65 inference(rewrite,[status(thm)],[])).
% 8.52/6.65 tff(37827,plain,
% 8.52/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB19, constB20)) | (v180(constB20) <=> v178(constB19)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37828,plain,
% 8.52/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB19, constB20)) | (v180(constB20) <=> v178(constB19))),
% 8.52/6.65 inference(modus_ponens,[status(thm)],[37827, 37826])).
% 8.52/6.65 tff(37829,plain,
% 8.52/6.65 (v180(constB20) <=> v178(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37828, 3255, 70])).
% 8.52/6.65 tff(37830,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB19) <=> (v181(constB19) | v185(constB19)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37831,plain,
% 8.52/6.65 (v178(constB19) <=> (v181(constB19) | v185(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37830, 84])).
% 8.52/6.65 tff(37832,plain,
% 8.52/6.65 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19))))))),
% 8.52/6.65 inference(rewrite,[status(thm)],[])).
% 8.52/6.65 tff(37833,plain,
% 8.52/6.65 ((v181(constB19) <=> (~((~v182(constB19)) | (~v157(constB19))))) <=> (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19)))))),
% 8.52/6.65 inference(rewrite,[status(thm)],[])).
% 8.52/6.65 tff(37834,plain,
% 8.52/6.65 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v182(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19))))))),
% 8.52/6.65 inference(monotonicity,[status(thm)],[37833])).
% 8.52/6.65 tff(37835,plain,
% 8.52/6.65 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v182(constB19)) | (~v157(constB19)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19))))))),
% 8.52/6.65 inference(transitivity,[status(thm)],[37834, 37832])).
% 8.52/6.65 tff(37836,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v182(constB19)) | (~v157(constB19)))))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37837,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19)))))),
% 8.52/6.65 inference(modus_ponens,[status(thm)],[37836, 37835])).
% 8.52/6.65 tff(37838,plain,
% 8.52/6.65 (v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19))))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37837, 161])).
% 8.52/6.65 tff(37839,plain,
% 8.52/6.65 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB19)) <=> v183(constB19))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37840,plain,
% 8.52/6.65 ((~v182(constB19)) <=> v183(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37839, 193])).
% 8.52/6.65 tff(37841,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB19) <=> (v184(constB19) | v26(constB19)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37842,plain,
% 8.52/6.65 (v183(constB19) <=> (v184(constB19) | v26(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37841, 202])).
% 8.52/6.65 tff(37843,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37844,plain,
% 8.52/6.65 (v184(constB19) <=> (~((~v39(constB19)) | (~v9(constB19))))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37843, 120])).
% 8.52/6.65 tff(37845,plain,
% 8.52/6.65 (((~![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)))),
% 8.52/6.65 inference(rewrite,[status(thm)],[])).
% 8.52/6.65 tff(37846,plain,
% 8.52/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37847,plain,
% 8.52/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19))),
% 8.52/6.65 inference(modus_ponens,[status(thm)],[37846, 37845])).
% 8.52/6.65 tff(37848,plain,
% 8.52/6.65 (v13(constB20) <=> v9(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37847, 3255, 216])).
% 8.52/6.65 tff(37849,plain,
% 8.52/6.65 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB20) <=> v13(constB20))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37850,plain,
% 8.52/6.65 (v6(constB20) <=> v13(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37849, 230])).
% 8.52/6.65 tff(37851,plain,
% 8.52/6.65 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB20)) <=> v6(constB20))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37852,plain,
% 8.52/6.65 ((~v21(constB20)) <=> v6(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37851, 239])).
% 8.52/6.65 tff(37853,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB20) <=> (v20(constB20) | v21(constB20)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37854,plain,
% 8.52/6.65 (v19(constB20) <=> (v20(constB20) | v21(constB20))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37853, 248])).
% 8.52/6.65 tff(37855,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37856,plain,
% 8.52/6.65 (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20))))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37855, 260])).
% 8.52/6.65 tff(37857,plain,
% 8.52/6.65 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB20)) <=> v18(constB20))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37858,plain,
% 8.52/6.65 ((~v4(constB20)) <=> v18(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37857, 269])).
% 8.52/6.65 tff(37859,plain,
% 8.52/6.65 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB20)),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37860,plain,
% 8.52/6.65 (v4(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37859, 278])).
% 8.52/6.65 tff(37861,plain,
% 8.52/6.65 ((~((~v4(constB20)) <=> v18(constB20))) | (~v4(constB20)) | (~v18(constB20))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37862,plain,
% 8.52/6.65 (~v18(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37861, 37860, 37858])).
% 8.52/6.65 tff(37863,plain,
% 8.52/6.65 ((~(v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))) | v18(constB20) | ((~v19(constB20)) | (~v22(constB20)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37864,plain,
% 8.52/6.65 ((~v19(constB20)) | (~v22(constB20))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37863, 37862, 37856])).
% 8.52/6.65 tff(37865,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB20) <=> (v1(constB20) | v6(constB20)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37866,plain,
% 8.52/6.65 (v22(constB20) <=> (v1(constB20) | v6(constB20))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37865, 291])).
% 8.52/6.65 tff(37867,plain,
% 8.52/6.65 ((v1(constB20) | v6(constB20)) | (~v1(constB20))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37868,plain,
% 8.52/6.65 (v1(constB20) | v6(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37867, 5588])).
% 8.52/6.65 tff(37869,plain,
% 8.52/6.65 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20) | (~(v1(constB20) | v6(constB20)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37870,plain,
% 8.52/6.65 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37869, 37868])).
% 8.52/6.65 tff(37871,plain,
% 8.52/6.65 (v22(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37870, 37866])).
% 8.52/6.65 tff(37872,plain,
% 8.52/6.65 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20)) | (~v22(constB20))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37873,plain,
% 8.52/6.65 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37872, 37871])).
% 8.52/6.65 tff(37874,plain,
% 8.52/6.65 (~v19(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37873, 37864])).
% 8.52/6.65 tff(37875,plain,
% 8.52/6.65 ((~(v19(constB20) <=> (v20(constB20) | v21(constB20)))) | v19(constB20) | (~(v20(constB20) | v21(constB20)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37876,plain,
% 8.52/6.65 (~(v20(constB20) | v21(constB20))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37875, 37874, 37854])).
% 8.52/6.65 tff(37877,plain,
% 8.52/6.65 ((v20(constB20) | v21(constB20)) | (~v21(constB20))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37878,plain,
% 8.52/6.65 (~v21(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37877, 37876])).
% 8.52/6.65 tff(37879,plain,
% 8.52/6.65 ((~((~v21(constB20)) <=> v6(constB20))) | v21(constB20) | v6(constB20)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37880,plain,
% 8.52/6.65 (v6(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37879, 37878, 37852])).
% 8.52/6.65 tff(37881,plain,
% 8.52/6.65 ((~(v6(constB20) <=> v13(constB20))) | (~v6(constB20)) | v13(constB20)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37882,plain,
% 8.52/6.65 (v13(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37881, 37880, 37850])).
% 8.52/6.65 tff(37883,plain,
% 8.52/6.65 ((~(v13(constB20) <=> v9(constB19))) | (~v13(constB20)) | v9(constB19)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37884,plain,
% 8.52/6.65 (v9(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37883, 37882, 37848])).
% 8.52/6.65 tff(37885,plain,
% 8.52/6.65 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB19)) <=> v1(constB19))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37886,plain,
% 8.52/6.65 ((~v39(constB19)) <=> v1(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37885, 129])).
% 8.52/6.65 tff(37887,plain,
% 8.52/6.65 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19) | v1(constB19)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37888,plain,
% 8.52/6.65 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37887, 3299])).
% 8.52/6.65 tff(37889,plain,
% 8.52/6.65 (v39(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37888, 37886])).
% 8.52/6.65 tff(37890,plain,
% 8.52/6.65 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v39(constB19)) | (~v9(constB19))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37891,plain,
% 8.52/6.65 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v9(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37890, 37889])).
% 8.52/6.65 tff(37892,plain,
% 8.52/6.65 (~((~v39(constB19)) | (~v9(constB19)))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37891, 37884])).
% 8.52/6.65 tff(37893,plain,
% 8.52/6.65 ((~(v184(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))) | v184(constB19) | ((~v39(constB19)) | (~v9(constB19)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37894,plain,
% 8.52/6.65 (v184(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37893, 37892, 37844])).
% 8.52/6.65 tff(37895,plain,
% 8.52/6.65 ((v184(constB19) | v26(constB19)) | (~v184(constB19))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37896,plain,
% 8.52/6.65 (v184(constB19) | v26(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37895, 37894])).
% 8.52/6.65 tff(37897,plain,
% 8.52/6.65 ((~(v183(constB19) <=> (v184(constB19) | v26(constB19)))) | v183(constB19) | (~(v184(constB19) | v26(constB19)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37898,plain,
% 8.52/6.65 (v183(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37897, 37896, 37842])).
% 8.52/6.65 tff(37899,plain,
% 8.52/6.65 ((~((~v182(constB19)) <=> v183(constB19))) | (~v182(constB19)) | (~v183(constB19))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37900,plain,
% 8.52/6.65 (~v182(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37899, 37898, 37840])).
% 8.52/6.65 tff(37901,plain,
% 8.52/6.65 (((~v157(constB19)) | (~v182(constB19))) | v182(constB19)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37902,plain,
% 8.52/6.65 ((~v157(constB19)) | (~v182(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37901, 37900])).
% 8.52/6.65 tff(37903,plain,
% 8.52/6.65 ((~(v181(constB19) <=> (~((~v157(constB19)) | (~v182(constB19)))))) | (~v181(constB19)) | (~((~v157(constB19)) | (~v182(constB19))))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37904,plain,
% 8.52/6.65 (~v181(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37903, 37902, 37838])).
% 8.52/6.65 tff(37905,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB19) <=> (~((~v186(constB19)) | (~v187(constB19)))))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37906,plain,
% 8.52/6.65 (v185(constB19) <=> (~((~v186(constB19)) | (~v187(constB19))))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37905, 96])).
% 8.52/6.65 tff(37907,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB19) <=> (~((~v184(constB19)) | (~v159(constB19)))))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37908,plain,
% 8.52/6.65 (v187(constB19) <=> (~((~v184(constB19)) | (~v159(constB19))))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37907, 108])).
% 8.52/6.65 tff(37909,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB19) <=> v161(constB19))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37910,plain,
% 8.52/6.65 (v159(constB19) <=> v161(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37909, 345])).
% 8.52/6.65 tff(37911,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB19) <=> (v145(constB19) | v165(constB19)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37912,plain,
% 8.52/6.65 (v164(constB19) <=> (v145(constB19) | v165(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37911, 357])).
% 8.52/6.65 tff(37913,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB19) <=> (v142(constB19) | v166(constB19)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37914,plain,
% 8.52/6.65 (v165(constB19) <=> (v142(constB19) | v166(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37913, 369])).
% 8.52/6.65 tff(37915,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v166(VarCurr) <=> (v141(VarCurr) | v167(VarCurr)))) | (v166(constB19) <=> (v141(constB19) | v167(constB19)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37916,plain,
% 8.52/6.65 (v166(constB19) <=> (v141(constB19) | v167(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37915, 381])).
% 8.52/6.65 tff(37917,plain,
% 8.52/6.65 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0))))))),
% 8.52/6.65 inference(rewrite,[status(thm)],[])).
% 8.52/6.65 tff(37918,plain,
% 8.52/6.65 ((v141(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0))))) <=> (v141(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))))),
% 8.52/6.65 inference(rewrite,[status(thm)],[])).
% 8.52/6.65 tff(37919,plain,
% 8.52/6.65 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0))))))),
% 8.52/6.65 inference(monotonicity,[status(thm)],[37918])).
% 8.52/6.65 tff(37920,plain,
% 8.52/6.65 (((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0))))))),
% 8.52/6.65 inference(transitivity,[status(thm)],[37919, 37917])).
% 8.52/6.65 tff(37921,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB19) <=> (~(v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | (~v88(constB19, bitIndex0)))))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37922,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~(v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)))))) | (v141(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))))),
% 8.52/6.65 inference(modus_ponens,[status(thm)],[37921, 37920])).
% 8.52/6.65 tff(37923,plain,
% 8.52/6.65 (v141(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0))))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37922, 396])).
% 8.52/6.65 tff(37924,plain,
% 8.52/6.65 ((~![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))))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37925,plain,
% 8.52/6.65 (~(((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)) | ((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)) | ((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0)))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37924, 416])).
% 8.52/6.65 tff(37926,plain,
% 8.52/6.65 ((((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)) | ((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)) | ((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0))) | (~((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37927,plain,
% 8.52/6.65 (~((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37926, 37925])).
% 8.52/6.65 tff(37928,plain,
% 8.52/6.65 (((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)) | (~v88(constB19, bitIndex2)) | v90(constB19, bitIndex2)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37929,plain,
% 8.52/6.65 (~v88(constB19, bitIndex2)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37928, 5510, 37927])).
% 8.52/6.65 tff(37930,plain,
% 8.52/6.65 ((((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)) | ((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)) | ((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0))) | (~((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37931,plain,
% 8.52/6.65 (~((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37930, 37925])).
% 8.52/6.65 tff(37932,plain,
% 8.52/6.65 (((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0)) | v88(constB19, bitIndex0) | (~v90(constB19, bitIndex0))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37933,plain,
% 8.52/6.65 (v88(constB19, bitIndex0)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37932, 5528, 37931])).
% 8.52/6.65 tff(37934,plain,
% 8.52/6.65 ((((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)) | ((~v88(constB19, bitIndex2)) <=> v90(constB19, bitIndex2)) | ((~v88(constB19, bitIndex0)) <=> v90(constB19, bitIndex0))) | (~((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37935,plain,
% 8.52/6.65 (~((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37934, 37925])).
% 8.52/6.65 tff(37936,plain,
% 8.52/6.65 (((~v88(constB19, bitIndex1)) <=> v90(constB19, bitIndex1)) | v88(constB19, bitIndex1) | (~v90(constB19, bitIndex1))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37937,plain,
% 8.52/6.65 (v88(constB19, bitIndex1)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37936, 5546, 37935])).
% 8.52/6.65 tff(37938,plain,
% 8.52/6.65 ((~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37939,plain,
% 8.52/6.65 (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37938, 37937, 37933, 37929])).
% 8.52/6.65 tff(37940,plain,
% 8.52/6.65 ((~(v141(constB19) <=> (~((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))))) | v141(constB19) | ((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37941,plain,
% 8.52/6.65 (v141(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37940, 37939, 37923])).
% 8.52/6.65 tff(37942,plain,
% 8.52/6.65 ((v141(constB19) | v167(constB19)) | (~v141(constB19))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37943,plain,
% 8.52/6.65 (v141(constB19) | v167(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37942, 37941])).
% 8.52/6.65 tff(37944,plain,
% 8.52/6.65 ((~(v166(constB19) <=> (v141(constB19) | v167(constB19)))) | v166(constB19) | (~(v141(constB19) | v167(constB19)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37945,plain,
% 8.52/6.65 (v166(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37944, 37943, 37916])).
% 8.52/6.65 tff(37946,plain,
% 8.52/6.65 ((v142(constB19) | v166(constB19)) | (~v166(constB19))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37947,plain,
% 8.52/6.65 (v142(constB19) | v166(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37946, 37945])).
% 8.52/6.65 tff(37948,plain,
% 8.52/6.65 ((~(v165(constB19) <=> (v142(constB19) | v166(constB19)))) | v165(constB19) | (~(v142(constB19) | v166(constB19)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37949,plain,
% 8.52/6.65 ((~(v165(constB19) <=> (v142(constB19) | v166(constB19)))) | v165(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37948, 37947])).
% 8.52/6.65 tff(37950,plain,
% 8.52/6.65 (v165(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37949, 37914])).
% 8.52/6.65 tff(37951,plain,
% 8.52/6.65 ((v145(constB19) | v165(constB19)) | (~v165(constB19))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37952,plain,
% 8.52/6.65 (v145(constB19) | v165(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37951, 37950])).
% 8.52/6.65 tff(37953,plain,
% 8.52/6.65 ((~(v164(constB19) <=> (v145(constB19) | v165(constB19)))) | v164(constB19) | (~(v145(constB19) | v165(constB19)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37954,plain,
% 8.52/6.65 (v164(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37953, 37952, 37912])).
% 8.52/6.65 tff(37955,plain,
% 8.52/6.65 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB19)) | (v161(constB19) <=> v168(constB19)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB19)) | (v161(constB19) <=> v168(constB19)))),
% 8.52/6.65 inference(rewrite,[status(thm)],[])).
% 8.52/6.65 tff(37956,plain,
% 8.52/6.65 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB19)) | (v161(constB19) <=> v168(constB19)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37957,plain,
% 8.52/6.65 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB19)) | (v161(constB19) <=> v168(constB19))),
% 8.52/6.65 inference(modus_ponens,[status(thm)],[37956, 37955])).
% 8.52/6.65 tff(37958,plain,
% 8.52/6.65 ((~v164(constB19)) | (v161(constB19) <=> v168(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37957, 12128])).
% 8.52/6.65 tff(37959,plain,
% 8.52/6.65 (v161(constB19) <=> v168(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37958, 37954])).
% 8.52/6.65 tff(37960,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2))))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37961,plain,
% 8.52/6.65 (v139(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2)))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37960, 12146])).
% 8.52/6.65 tff(37962,plain,
% 8.52/6.65 ((v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2)) | (~v88(constB19, bitIndex0))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37963,plain,
% 8.52/6.65 (v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37962, 37933])).
% 8.52/6.65 tff(37964,plain,
% 8.52/6.65 ((~(v139(constB19) <=> (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2))))) | (~v139(constB19)) | (~(v88(constB19, bitIndex0) | v88(constB19, bitIndex1) | v88(constB19, bitIndex2)))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37965,plain,
% 8.52/6.65 (~v139(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37964, 37963, 37961])).
% 8.52/6.65 tff(37966,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB19) <=> (~(v88(constB19, bitIndex1) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37967,plain,
% 8.52/6.65 (v140(constB19) <=> (~(v88(constB19, bitIndex1) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0))))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37966, 12165])).
% 8.52/6.65 tff(37968,plain,
% 8.52/6.65 ((v88(constB19, bitIndex1) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0))) | (~v88(constB19, bitIndex1))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37969,plain,
% 8.52/6.65 (v88(constB19, bitIndex1) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37968, 37937])).
% 8.52/6.65 tff(37970,plain,
% 8.52/6.65 ((~(v140(constB19) <=> (~(v88(constB19, bitIndex1) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0)))))) | (~v140(constB19)) | (~(v88(constB19, bitIndex1) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex0))))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37971,plain,
% 8.52/6.65 (~v140(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37970, 37969, 37967])).
% 8.52/6.65 tff(37972,plain,
% 8.52/6.65 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v168(constB19)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB19) | v139(constB19) | (~v168(constB19)))),
% 8.52/6.65 inference(rewrite,[status(thm)],[])).
% 8.52/6.65 tff(37973,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v168(constB19)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(37974,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB19) | v139(constB19) | (~v168(constB19))),
% 8.52/6.65 inference(modus_ponens,[status(thm)],[37973, 37972])).
% 8.52/6.65 tff(37975,plain,
% 8.52/6.65 (v140(constB19) | v139(constB19) | (~v168(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37974, 12184])).
% 8.52/6.65 tff(37976,plain,
% 8.52/6.65 (~v168(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37975, 37971, 37965])).
% 8.52/6.65 tff(37977,plain,
% 8.52/6.65 ((~(v161(constB19) <=> v168(constB19))) | (~v161(constB19)) | v168(constB19)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37978,plain,
% 8.52/6.65 ((~(v161(constB19) <=> v168(constB19))) | (~v161(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37977, 37976])).
% 8.52/6.65 tff(37979,plain,
% 8.52/6.65 (~v161(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37978, 37959])).
% 8.52/6.65 tff(37980,plain,
% 8.52/6.65 ((~(v159(constB19) <=> v161(constB19))) | (~v159(constB19)) | v161(constB19)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37981,plain,
% 8.52/6.65 ((~(v159(constB19) <=> v161(constB19))) | (~v159(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37980, 37979])).
% 8.52/6.65 tff(37982,plain,
% 8.52/6.65 (~v159(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37981, 37910])).
% 8.52/6.65 tff(37983,plain,
% 8.52/6.65 (((~v184(constB19)) | (~v159(constB19))) | v159(constB19)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37984,plain,
% 8.52/6.65 ((~v184(constB19)) | (~v159(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37983, 37982])).
% 8.52/6.65 tff(37985,plain,
% 8.52/6.65 ((~(v187(constB19) <=> (~((~v184(constB19)) | (~v159(constB19)))))) | (~v187(constB19)) | (~((~v184(constB19)) | (~v159(constB19))))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37986,plain,
% 8.52/6.65 (~v187(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37985, 37984, 37908])).
% 8.52/6.65 tff(37987,plain,
% 8.52/6.65 (((~v186(constB19)) | (~v187(constB19))) | v187(constB19)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37988,plain,
% 8.52/6.65 ((~v186(constB19)) | (~v187(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37987, 37986])).
% 8.52/6.65 tff(37989,plain,
% 8.52/6.65 ((~(v185(constB19) <=> (~((~v186(constB19)) | (~v187(constB19)))))) | (~v185(constB19)) | (~((~v186(constB19)) | (~v187(constB19))))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37990,plain,
% 8.52/6.65 (~v185(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37989, 37988, 37906])).
% 8.52/6.65 tff(37991,plain,
% 8.52/6.65 ((~(v181(constB19) | v185(constB19))) | v181(constB19) | v185(constB19)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37992,plain,
% 8.52/6.65 (~(v181(constB19) | v185(constB19))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37991, 37990, 37904])).
% 8.52/6.65 tff(37993,plain,
% 8.52/6.65 ((~(v178(constB19) <=> (v181(constB19) | v185(constB19)))) | (~v178(constB19)) | (v181(constB19) | v185(constB19))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37994,plain,
% 8.52/6.65 (~v178(constB19)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37993, 37992, 37831])).
% 8.52/6.65 tff(37995,plain,
% 8.52/6.65 ((~(v180(constB20) <=> v178(constB19))) | (~v180(constB20)) | v178(constB19)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37996,plain,
% 8.52/6.65 (~v180(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37995, 37994, 37829])).
% 8.52/6.65 tff(37997,plain,
% 8.52/6.65 ((~(v157(constB20) <=> v180(constB20))) | (~v157(constB20)) | v180(constB20)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(37998,plain,
% 8.52/6.65 (~v157(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37997, 37996, 37825])).
% 8.52/6.65 tff(37999,plain,
% 8.52/6.65 (((~v157(constB20)) | (~v182(constB20))) | v157(constB20)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(38000,plain,
% 8.52/6.65 ((~v157(constB20)) | (~v182(constB20))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[37999, 37998])).
% 8.52/6.65 tff(38001,plain,
% 8.52/6.65 ((~(v181(constB20) <=> (~((~v157(constB20)) | (~v182(constB20)))))) | (~v181(constB20)) | (~((~v157(constB20)) | (~v182(constB20))))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(38002,plain,
% 8.52/6.65 (~v181(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[38001, 38000, 37823])).
% 8.52/6.65 tff(38003,plain,
% 8.52/6.65 ((~(v181(constB20) | v185(constB20))) | v181(constB20) | v185(constB20)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(38004,plain,
% 8.52/6.65 (~(v181(constB20) | v185(constB20))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[38003, 38002, 37816])).
% 8.52/6.65 tff(38005,plain,
% 8.52/6.65 ((~(v178(constB20) <=> (v181(constB20) | v185(constB20)))) | (~v178(constB20)) | (v181(constB20) | v185(constB20))),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(38006,plain,
% 8.52/6.65 (~v178(constB20)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[38005, 38004, 37791])).
% 8.52/6.65 tff(38007,plain,
% 8.52/6.65 ((~(v180(constB21) <=> v178(constB20))) | (~v180(constB21)) | v178(constB20)),
% 8.52/6.65 inference(tautology,[status(thm)],[])).
% 8.52/6.65 tff(38008,plain,
% 8.52/6.65 (~v180(constB21)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[38007, 38006, 37789])).
% 8.52/6.65 tff(38009,plain,
% 8.52/6.65 ($false),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[38008, 37785])).
% 8.52/6.65 tff(38010,plain,(~(constB21 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.65 tff(38011,assumption,(constB63 = VarCurr!0), introduced(assumption)).
% 8.52/6.65 tff(38012,plain,
% 8.52/6.65 (v180(constB63) <=> v180(VarCurr!0)),
% 8.52/6.65 inference(monotonicity,[status(thm)],[38011])).
% 8.52/6.65 tff(38013,plain,
% 8.52/6.65 (v180(VarCurr!0) <=> v180(constB63)),
% 8.52/6.65 inference(symmetry,[status(thm)],[38012])).
% 8.52/6.65 tff(38014,plain,
% 8.52/6.65 (v180(constB63)),
% 8.52/6.65 inference(modus_ponens,[status(thm)],[59, 38013])).
% 8.52/6.65 tff(38015,plain,
% 8.52/6.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB62, constB63)) | (v180(constB63) <=> v178(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB62, constB63)) | (v180(constB63) <=> v178(constB62)))),
% 8.52/6.65 inference(rewrite,[status(thm)],[])).
% 8.52/6.65 tff(38016,plain,
% 8.52/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB62, constB63)) | (v180(constB63) <=> v178(constB62)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(38017,plain,
% 8.52/6.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB62, constB63)) | (v180(constB63) <=> v178(constB62))),
% 8.52/6.65 inference(modus_ponens,[status(thm)],[38016, 38015])).
% 8.52/6.65 tff(38018,plain,
% 8.52/6.65 (v180(constB63) <=> v178(constB62)),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[38017, 1868, 70])).
% 8.52/6.65 tff(38019,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB62) <=> (v181(constB62) | v185(constB62)))),
% 8.52/6.65 inference(quant_inst,[status(thm)],[])).
% 8.52/6.65 tff(38020,plain,
% 8.52/6.65 (v178(constB62) <=> (v181(constB62) | v185(constB62))),
% 8.52/6.65 inference(unit_resolution,[status(thm)],[38019, 84])).
% 8.52/6.65 tff(38021,plain,
% 8.52/6.65 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB62) <=> (~((~v186(constB62)) | (~v187(constB62)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38022,plain,
% 8.52/6.66 (v185(constB62) <=> (~((~v186(constB62)) | (~v187(constB62))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38021, 96])).
% 8.52/6.66 tff(38023,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB62) <=> (~((~v184(constB62)) | (~v159(constB62)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38024,plain,
% 8.52/6.66 (v187(constB62) <=> (~((~v184(constB62)) | (~v159(constB62))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38023, 108])).
% 8.52/6.66 tff(38025,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38026,plain,
% 8.52/6.66 (v184(constB62) <=> (~((~v39(constB62)) | (~v9(constB62))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38025, 120])).
% 8.52/6.66 tff(38027,plain,
% 8.52/6.66 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB62)) <=> v1(constB62))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38028,plain,
% 8.52/6.66 ((~v39(constB62)) <=> v1(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38027, 129])).
% 8.52/6.66 tff(38029,plain,
% 8.52/6.66 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62)) | (~v1(constB62))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38030,plain,
% 8.52/6.66 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38029, 8854])).
% 8.52/6.66 tff(38031,plain,
% 8.52/6.66 (~v39(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38030, 38028])).
% 8.52/6.66 tff(38032,plain,
% 8.52/6.66 (((~v39(constB62)) | (~v9(constB62))) | v39(constB62)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38033,plain,
% 8.52/6.66 ((~v39(constB62)) | (~v9(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38032, 38031])).
% 8.52/6.66 tff(38034,plain,
% 8.52/6.66 ((~(v184(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v184(constB62)) | (~((~v39(constB62)) | (~v9(constB62))))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38035,plain,
% 8.52/6.66 ((~(v184(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v184(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38034, 38033])).
% 8.52/6.66 tff(38036,plain,
% 8.52/6.66 (~v184(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38035, 38026])).
% 8.52/6.66 tff(38037,plain,
% 8.52/6.66 (((~v184(constB62)) | (~v159(constB62))) | v184(constB62)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38038,plain,
% 8.52/6.66 ((~v184(constB62)) | (~v159(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38037, 38036])).
% 8.52/6.66 tff(38039,plain,
% 8.52/6.66 ((~(v187(constB62) <=> (~((~v184(constB62)) | (~v159(constB62)))))) | (~v187(constB62)) | (~((~v184(constB62)) | (~v159(constB62))))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38040,plain,
% 8.52/6.66 ((~(v187(constB62) <=> (~((~v184(constB62)) | (~v159(constB62)))))) | (~v187(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38039, 38038])).
% 8.52/6.66 tff(38041,plain,
% 8.52/6.66 (~v187(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38040, 38024])).
% 8.52/6.66 tff(38042,plain,
% 8.52/6.66 (((~v186(constB62)) | (~v187(constB62))) | v187(constB62)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38043,plain,
% 8.52/6.66 ((~v186(constB62)) | (~v187(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38042, 38041])).
% 8.52/6.66 tff(38044,plain,
% 8.52/6.66 ((~(v185(constB62) <=> (~((~v186(constB62)) | (~v187(constB62)))))) | (~v185(constB62)) | (~((~v186(constB62)) | (~v187(constB62))))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38045,plain,
% 8.52/6.66 (~v185(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38044, 38043, 38022])).
% 8.52/6.66 tff(38046,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62))))))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38047,plain,
% 8.52/6.66 ((v181(constB62) <=> (~((~v182(constB62)) | (~v157(constB62))))) <=> (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62)))))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38048,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v182(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62))))))),
% 8.52/6.66 inference(monotonicity,[status(thm)],[38047])).
% 8.52/6.66 tff(38049,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v182(constB62)) | (~v157(constB62)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62))))))),
% 8.52/6.66 inference(transitivity,[status(thm)],[38048, 38046])).
% 8.52/6.66 tff(38050,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v182(constB62)) | (~v157(constB62)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38051,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62)))))),
% 8.52/6.66 inference(modus_ponens,[status(thm)],[38050, 38049])).
% 8.52/6.66 tff(38052,plain,
% 8.52/6.66 (v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38051, 161])).
% 8.52/6.66 tff(38053,plain,
% 8.52/6.66 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB62) <=> v180(constB62))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38054,plain,
% 8.52/6.66 (v157(constB62) <=> v180(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38053, 13])).
% 8.52/6.66 tff(38055,plain,
% 8.52/6.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB61, constB62)) | (v180(constB62) <=> v178(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB61, constB62)) | (v180(constB62) <=> v178(constB61)))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38056,plain,
% 8.52/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB61, constB62)) | (v180(constB62) <=> v178(constB61)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38057,plain,
% 8.52/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB61, constB62)) | (v180(constB62) <=> v178(constB61))),
% 8.52/6.66 inference(modus_ponens,[status(thm)],[38056, 38055])).
% 8.52/6.66 tff(38058,plain,
% 8.52/6.66 (v180(constB62) <=> v178(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38057, 1904, 70])).
% 8.52/6.66 tff(38059,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB61) <=> (v181(constB61) | v185(constB61)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38060,plain,
% 8.52/6.66 (v178(constB61) <=> (v181(constB61) | v185(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38059, 84])).
% 8.52/6.66 tff(38061,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61))))))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38062,plain,
% 8.52/6.66 ((v181(constB61) <=> (~((~v182(constB61)) | (~v157(constB61))))) <=> (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61)))))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38063,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v182(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61))))))),
% 8.52/6.66 inference(monotonicity,[status(thm)],[38062])).
% 8.52/6.66 tff(38064,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v182(constB61)) | (~v157(constB61)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61))))))),
% 8.52/6.66 inference(transitivity,[status(thm)],[38063, 38061])).
% 8.52/6.66 tff(38065,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v182(constB61)) | (~v157(constB61)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38066,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61)))))),
% 8.52/6.66 inference(modus_ponens,[status(thm)],[38065, 38064])).
% 8.52/6.66 tff(38067,plain,
% 8.52/6.66 (v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38066, 161])).
% 8.52/6.66 tff(38068,plain,
% 8.52/6.66 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB61)) <=> v183(constB61))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38069,plain,
% 8.52/6.66 ((~v182(constB61)) <=> v183(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38068, 193])).
% 8.52/6.66 tff(38070,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB61) <=> (v184(constB61) | v26(constB61)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38071,plain,
% 8.52/6.66 (v183(constB61) <=> (v184(constB61) | v26(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38070, 202])).
% 8.52/6.66 tff(38072,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38073,plain,
% 8.52/6.66 (v184(constB61) <=> (~((~v39(constB61)) | (~v9(constB61))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38072, 120])).
% 8.52/6.66 tff(38074,plain,
% 8.52/6.66 (((~![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)))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38075,plain,
% 8.52/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38076,plain,
% 8.52/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61))),
% 8.52/6.66 inference(modus_ponens,[status(thm)],[38075, 38074])).
% 8.52/6.66 tff(38077,plain,
% 8.52/6.66 (v13(constB62) <=> v9(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38076, 1904, 216])).
% 8.52/6.66 tff(38078,plain,
% 8.52/6.66 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB62) <=> v13(constB62))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38079,plain,
% 8.52/6.66 (v6(constB62) <=> v13(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38078, 230])).
% 8.52/6.66 tff(38080,plain,
% 8.52/6.66 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB62)) <=> v6(constB62))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38081,plain,
% 8.52/6.66 ((~v21(constB62)) <=> v6(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38080, 239])).
% 8.52/6.66 tff(38082,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB62) <=> (v20(constB62) | v21(constB62)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38083,plain,
% 8.52/6.66 (v19(constB62) <=> (v20(constB62) | v21(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38082, 248])).
% 8.52/6.66 tff(38084,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38085,plain,
% 8.52/6.66 (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38084, 260])).
% 8.52/6.66 tff(38086,plain,
% 8.52/6.66 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB62)) <=> v18(constB62))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38087,plain,
% 8.52/6.66 ((~v4(constB62)) <=> v18(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38086, 269])).
% 8.52/6.66 tff(38088,plain,
% 8.52/6.66 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB62)),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38089,plain,
% 8.52/6.66 (v4(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38088, 278])).
% 8.52/6.66 tff(38090,plain,
% 8.52/6.66 ((~((~v4(constB62)) <=> v18(constB62))) | (~v4(constB62)) | (~v18(constB62))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38091,plain,
% 8.52/6.66 (~v18(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38090, 38089, 38087])).
% 8.52/6.66 tff(38092,plain,
% 8.52/6.66 ((~(v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))) | v18(constB62) | ((~v19(constB62)) | (~v22(constB62)))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38093,plain,
% 8.52/6.66 ((~v19(constB62)) | (~v22(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38092, 38091, 38085])).
% 8.52/6.66 tff(38094,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB62) <=> (v1(constB62) | v6(constB62)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38095,plain,
% 8.52/6.66 (v22(constB62) <=> (v1(constB62) | v6(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38094, 291])).
% 8.52/6.66 tff(38096,plain,
% 8.52/6.66 ((v1(constB62) | v6(constB62)) | (~v1(constB62))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38097,plain,
% 8.52/6.66 (v1(constB62) | v6(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38096, 8854])).
% 8.52/6.66 tff(38098,plain,
% 8.52/6.66 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62) | (~(v1(constB62) | v6(constB62)))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38099,plain,
% 8.52/6.66 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38098, 38097])).
% 8.52/6.66 tff(38100,plain,
% 8.52/6.66 (v22(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38099, 38095])).
% 8.52/6.66 tff(38101,plain,
% 8.52/6.66 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62)) | (~v22(constB62))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38102,plain,
% 8.52/6.66 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38101, 38100])).
% 8.52/6.66 tff(38103,plain,
% 8.52/6.66 (~v19(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38102, 38093])).
% 8.52/6.66 tff(38104,plain,
% 8.52/6.66 ((~(v19(constB62) <=> (v20(constB62) | v21(constB62)))) | v19(constB62) | (~(v20(constB62) | v21(constB62)))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38105,plain,
% 8.52/6.66 (~(v20(constB62) | v21(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38104, 38103, 38083])).
% 8.52/6.66 tff(38106,plain,
% 8.52/6.66 ((v20(constB62) | v21(constB62)) | (~v21(constB62))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38107,plain,
% 8.52/6.66 (~v21(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38106, 38105])).
% 8.52/6.66 tff(38108,plain,
% 8.52/6.66 ((~((~v21(constB62)) <=> v6(constB62))) | v21(constB62) | v6(constB62)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38109,plain,
% 8.52/6.66 (v6(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38108, 38107, 38081])).
% 8.52/6.66 tff(38110,plain,
% 8.52/6.66 ((~(v6(constB62) <=> v13(constB62))) | (~v6(constB62)) | v13(constB62)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38111,plain,
% 8.52/6.66 (v13(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38110, 38109, 38079])).
% 8.52/6.66 tff(38112,plain,
% 8.52/6.66 ((~(v13(constB62) <=> v9(constB61))) | (~v13(constB62)) | v9(constB61)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38113,plain,
% 8.52/6.66 (v9(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38112, 38111, 38077])).
% 8.52/6.66 tff(38114,plain,
% 8.52/6.66 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB61)) <=> v1(constB61))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38115,plain,
% 8.52/6.66 ((~v39(constB61)) <=> v1(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38114, 129])).
% 8.52/6.66 tff(38116,plain,
% 8.52/6.66 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61) | v1(constB61)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38117,plain,
% 8.52/6.66 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38116, 1943])).
% 8.52/6.66 tff(38118,plain,
% 8.52/6.66 (v39(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38117, 38115])).
% 8.52/6.66 tff(38119,plain,
% 8.52/6.66 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v39(constB61)) | (~v9(constB61))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38120,plain,
% 8.52/6.66 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v9(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38119, 38118])).
% 8.52/6.66 tff(38121,plain,
% 8.52/6.66 (~((~v39(constB61)) | (~v9(constB61)))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38120, 38113])).
% 8.52/6.66 tff(38122,plain,
% 8.52/6.66 ((~(v184(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))) | v184(constB61) | ((~v39(constB61)) | (~v9(constB61)))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38123,plain,
% 8.52/6.66 (v184(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38122, 38121, 38073])).
% 8.52/6.66 tff(38124,plain,
% 8.52/6.66 ((v184(constB61) | v26(constB61)) | (~v184(constB61))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38125,plain,
% 8.52/6.66 (v184(constB61) | v26(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38124, 38123])).
% 8.52/6.66 tff(38126,plain,
% 8.52/6.66 ((~(v183(constB61) <=> (v184(constB61) | v26(constB61)))) | v183(constB61) | (~(v184(constB61) | v26(constB61)))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38127,plain,
% 8.52/6.66 (v183(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38126, 38125, 38071])).
% 8.52/6.66 tff(38128,plain,
% 8.52/6.66 ((~((~v182(constB61)) <=> v183(constB61))) | (~v182(constB61)) | (~v183(constB61))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38129,plain,
% 8.52/6.66 (~v182(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38128, 38127, 38069])).
% 8.52/6.66 tff(38130,plain,
% 8.52/6.66 (((~v157(constB61)) | (~v182(constB61))) | v182(constB61)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38131,plain,
% 8.52/6.66 ((~v157(constB61)) | (~v182(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38130, 38129])).
% 8.52/6.66 tff(38132,plain,
% 8.52/6.66 ((~(v181(constB61) <=> (~((~v157(constB61)) | (~v182(constB61)))))) | (~v181(constB61)) | (~((~v157(constB61)) | (~v182(constB61))))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38133,plain,
% 8.52/6.66 (~v181(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38132, 38131, 38067])).
% 8.52/6.66 tff(38134,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB61) <=> (~((~v186(constB61)) | (~v187(constB61)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38135,plain,
% 8.52/6.66 (v185(constB61) <=> (~((~v186(constB61)) | (~v187(constB61))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38134, 96])).
% 8.52/6.66 tff(38136,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB61) <=> (~((~v184(constB61)) | (~v159(constB61)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38137,plain,
% 8.52/6.66 (v187(constB61) <=> (~((~v184(constB61)) | (~v159(constB61))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38136, 108])).
% 8.52/6.66 tff(38138,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB61) <=> v161(constB61))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38139,plain,
% 8.52/6.66 (v159(constB61) <=> v161(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38138, 345])).
% 8.52/6.66 tff(38140,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB61) <=> (v145(constB61) | v165(constB61)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38141,plain,
% 8.52/6.66 (v164(constB61) <=> (v145(constB61) | v165(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38140, 357])).
% 8.52/6.66 tff(38142,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v165(VarCurr) <=> (v142(VarCurr) | v166(VarCurr)))) | (v165(constB61) <=> (v142(constB61) | v166(constB61)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38143,plain,
% 8.52/6.66 (v165(constB61) <=> (v142(constB61) | v166(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38142, 369])).
% 8.52/6.66 tff(38144,plain,
% 8.52/6.66 ((v142(constB61) | v166(constB61)) | (~v142(constB61))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38145,plain,
% 8.52/6.66 (v142(constB61) | v166(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38144, 35586])).
% 8.52/6.66 tff(38146,plain,
% 8.52/6.66 ((~(v165(constB61) <=> (v142(constB61) | v166(constB61)))) | v165(constB61) | (~(v142(constB61) | v166(constB61)))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38147,plain,
% 8.52/6.66 ((~(v165(constB61) <=> (v142(constB61) | v166(constB61)))) | v165(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38146, 38145])).
% 8.52/6.66 tff(38148,plain,
% 8.52/6.66 (v165(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38147, 38143])).
% 8.52/6.66 tff(38149,plain,
% 8.52/6.66 ((v145(constB61) | v165(constB61)) | (~v165(constB61))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38150,plain,
% 8.52/6.66 (v145(constB61) | v165(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38149, 38148])).
% 8.52/6.66 tff(38151,plain,
% 8.52/6.66 ((~(v164(constB61) <=> (v145(constB61) | v165(constB61)))) | v164(constB61) | (~(v145(constB61) | v165(constB61)))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38152,plain,
% 8.52/6.66 (v164(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38151, 38150, 38141])).
% 8.52/6.66 tff(38153,plain,
% 8.52/6.66 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB61)) | (v161(constB61) <=> v168(constB61)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB61)) | (v161(constB61) <=> v168(constB61)))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38154,plain,
% 8.52/6.66 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB61)) | (v161(constB61) <=> v168(constB61)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38155,plain,
% 8.52/6.66 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB61)) | (v161(constB61) <=> v168(constB61))),
% 8.52/6.66 inference(modus_ponens,[status(thm)],[38154, 38153])).
% 8.52/6.66 tff(38156,plain,
% 8.52/6.66 ((~v164(constB61)) | (v161(constB61) <=> v168(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38155, 12128])).
% 8.52/6.66 tff(38157,plain,
% 8.52/6.66 (v161(constB61) <=> v168(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38156, 38152])).
% 8.52/6.66 tff(38158,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB61) <=> (~(v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38159,plain,
% 8.52/6.66 (v139(constB61) <=> (~(v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2)))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38158, 12146])).
% 8.52/6.66 tff(38160,plain,
% 8.52/6.66 ((v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2)) | (~v88(constB61, bitIndex2))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38161,plain,
% 8.52/6.66 (v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38160, 35570])).
% 8.52/6.66 tff(38162,plain,
% 8.52/6.66 ((~(v139(constB61) <=> (~(v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2))))) | (~v139(constB61)) | (~(v88(constB61, bitIndex0) | v88(constB61, bitIndex1) | v88(constB61, bitIndex2)))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38163,plain,
% 8.52/6.66 (~v139(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38162, 38161, 38159])).
% 8.52/6.66 tff(38164,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB61) <=> (~(v88(constB61, bitIndex1) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38165,plain,
% 8.52/6.66 (v140(constB61) <=> (~(v88(constB61, bitIndex1) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38164, 12165])).
% 8.52/6.66 tff(38166,plain,
% 8.52/6.66 ((v88(constB61, bitIndex1) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0))) | (~v88(constB61, bitIndex2))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38167,plain,
% 8.52/6.66 (v88(constB61, bitIndex1) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38166, 35570])).
% 8.52/6.66 tff(38168,plain,
% 8.52/6.66 ((~(v140(constB61) <=> (~(v88(constB61, bitIndex1) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)))))) | (~v140(constB61)) | (~(v88(constB61, bitIndex1) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0))))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38169,plain,
% 8.52/6.66 (~v140(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38168, 38167, 38165])).
% 8.52/6.66 tff(38170,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v168(constB61)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB61) | v139(constB61) | (~v168(constB61)))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38171,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v168(constB61)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38172,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB61) | v139(constB61) | (~v168(constB61))),
% 8.52/6.66 inference(modus_ponens,[status(thm)],[38171, 38170])).
% 8.52/6.66 tff(38173,plain,
% 8.52/6.66 (v140(constB61) | v139(constB61) | (~v168(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38172, 12184])).
% 8.52/6.66 tff(38174,plain,
% 8.52/6.66 (~v168(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38173, 38169, 38163])).
% 8.52/6.66 tff(38175,plain,
% 8.52/6.66 ((~(v161(constB61) <=> v168(constB61))) | (~v161(constB61)) | v168(constB61)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38176,plain,
% 8.52/6.66 ((~(v161(constB61) <=> v168(constB61))) | (~v161(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38175, 38174])).
% 8.52/6.66 tff(38177,plain,
% 8.52/6.66 (~v161(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38176, 38157])).
% 8.52/6.66 tff(38178,plain,
% 8.52/6.66 ((~(v159(constB61) <=> v161(constB61))) | (~v159(constB61)) | v161(constB61)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38179,plain,
% 8.52/6.66 ((~(v159(constB61) <=> v161(constB61))) | (~v159(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38178, 38177])).
% 8.52/6.66 tff(38180,plain,
% 8.52/6.66 (~v159(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38179, 38139])).
% 8.52/6.66 tff(38181,plain,
% 8.52/6.66 (((~v184(constB61)) | (~v159(constB61))) | v159(constB61)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38182,plain,
% 8.52/6.66 ((~v184(constB61)) | (~v159(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38181, 38180])).
% 8.52/6.66 tff(38183,plain,
% 8.52/6.66 ((~(v187(constB61) <=> (~((~v184(constB61)) | (~v159(constB61)))))) | (~v187(constB61)) | (~((~v184(constB61)) | (~v159(constB61))))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38184,plain,
% 8.52/6.66 (~v187(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38183, 38182, 38137])).
% 8.52/6.66 tff(38185,plain,
% 8.52/6.66 (((~v186(constB61)) | (~v187(constB61))) | v187(constB61)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38186,plain,
% 8.52/6.66 ((~v186(constB61)) | (~v187(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38185, 38184])).
% 8.52/6.66 tff(38187,plain,
% 8.52/6.66 ((~(v185(constB61) <=> (~((~v186(constB61)) | (~v187(constB61)))))) | (~v185(constB61)) | (~((~v186(constB61)) | (~v187(constB61))))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38188,plain,
% 8.52/6.66 (~v185(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38187, 38186, 38135])).
% 8.52/6.66 tff(38189,plain,
% 8.52/6.66 ((~(v181(constB61) | v185(constB61))) | v181(constB61) | v185(constB61)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38190,plain,
% 8.52/6.66 (~(v181(constB61) | v185(constB61))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38189, 38188, 38133])).
% 8.52/6.66 tff(38191,plain,
% 8.52/6.66 ((~(v178(constB61) <=> (v181(constB61) | v185(constB61)))) | (~v178(constB61)) | (v181(constB61) | v185(constB61))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38192,plain,
% 8.52/6.66 (~v178(constB61)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38191, 38190, 38060])).
% 8.52/6.66 tff(38193,plain,
% 8.52/6.66 ((~(v180(constB62) <=> v178(constB61))) | (~v180(constB62)) | v178(constB61)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38194,plain,
% 8.52/6.66 (~v180(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38193, 38192, 38058])).
% 8.52/6.66 tff(38195,plain,
% 8.52/6.66 ((~(v157(constB62) <=> v180(constB62))) | (~v157(constB62)) | v180(constB62)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38196,plain,
% 8.52/6.66 (~v157(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38195, 38194, 38054])).
% 8.52/6.66 tff(38197,plain,
% 8.52/6.66 (((~v157(constB62)) | (~v182(constB62))) | v157(constB62)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38198,plain,
% 8.52/6.66 ((~v157(constB62)) | (~v182(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38197, 38196])).
% 8.52/6.66 tff(38199,plain,
% 8.52/6.66 ((~(v181(constB62) <=> (~((~v157(constB62)) | (~v182(constB62)))))) | (~v181(constB62)) | (~((~v157(constB62)) | (~v182(constB62))))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38200,plain,
% 8.52/6.66 (~v181(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38199, 38198, 38052])).
% 8.52/6.66 tff(38201,plain,
% 8.52/6.66 ((~(v181(constB62) | v185(constB62))) | v181(constB62) | v185(constB62)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38202,plain,
% 8.52/6.66 (~(v181(constB62) | v185(constB62))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38201, 38200, 38045])).
% 8.52/6.66 tff(38203,plain,
% 8.52/6.66 ((~(v178(constB62) <=> (v181(constB62) | v185(constB62)))) | (~v178(constB62)) | (v181(constB62) | v185(constB62))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38204,plain,
% 8.52/6.66 (~v178(constB62)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38203, 38202, 38020])).
% 8.52/6.66 tff(38205,plain,
% 8.52/6.66 ((~(v180(constB63) <=> v178(constB62))) | (~v180(constB63)) | v178(constB62)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38206,plain,
% 8.52/6.66 (~v180(constB63)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38205, 38204, 38018])).
% 8.52/6.66 tff(38207,plain,
% 8.52/6.66 ($false),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38206, 38014])).
% 8.52/6.66 tff(38208,plain,(~(constB63 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.66 tff(38209,assumption,(constB11 = VarCurr!0), introduced(assumption)).
% 8.52/6.66 tff(38210,plain,
% 8.52/6.66 (v180(constB11) <=> v180(VarCurr!0)),
% 8.52/6.66 inference(monotonicity,[status(thm)],[38209])).
% 8.52/6.66 tff(38211,plain,
% 8.52/6.66 (v180(VarCurr!0) <=> v180(constB11)),
% 8.52/6.66 inference(symmetry,[status(thm)],[38210])).
% 8.52/6.66 tff(38212,plain,
% 8.52/6.66 (v180(constB11)),
% 8.52/6.66 inference(modus_ponens,[status(thm)],[59, 38211])).
% 8.52/6.66 tff(38213,plain,
% 8.52/6.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB10, constB11)) | (v180(constB11) <=> v178(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB10, constB11)) | (v180(constB11) <=> v178(constB10)))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38214,plain,
% 8.52/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB10, constB11)) | (v180(constB11) <=> v178(constB10)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38215,plain,
% 8.52/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB10, constB11)) | (v180(constB11) <=> v178(constB10))),
% 8.52/6.66 inference(modus_ponens,[status(thm)],[38214, 38213])).
% 8.52/6.66 tff(38216,plain,
% 8.52/6.66 (v180(constB11) <=> v178(constB10)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38215, 3539, 70])).
% 8.52/6.66 tff(38217,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB10) <=> (v181(constB10) | v185(constB10)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38218,plain,
% 8.52/6.66 (v178(constB10) <=> (v181(constB10) | v185(constB10))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38217, 84])).
% 8.52/6.66 tff(38219,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB10) <=> (~((~v186(constB10)) | (~v187(constB10)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38220,plain,
% 8.52/6.66 (v185(constB10) <=> (~((~v186(constB10)) | (~v187(constB10))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38219, 96])).
% 8.52/6.66 tff(38221,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB10) <=> (~((~v184(constB10)) | (~v159(constB10)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38222,plain,
% 8.52/6.66 (v187(constB10) <=> (~((~v184(constB10)) | (~v159(constB10))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38221, 108])).
% 8.52/6.66 tff(38223,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38224,plain,
% 8.52/6.66 (v184(constB10) <=> (~((~v39(constB10)) | (~v9(constB10))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38223, 120])).
% 8.52/6.66 tff(38225,plain,
% 8.52/6.66 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB10)) <=> v1(constB10))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38226,plain,
% 8.52/6.66 ((~v39(constB10)) <=> v1(constB10)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38225, 129])).
% 8.52/6.66 tff(38227,plain,
% 8.52/6.66 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10)) | (~v1(constB10))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38228,plain,
% 8.52/6.66 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38227, 4760])).
% 8.52/6.66 tff(38229,plain,
% 8.52/6.66 (~v39(constB10)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38228, 38226])).
% 8.52/6.66 tff(38230,plain,
% 8.52/6.66 (((~v39(constB10)) | (~v9(constB10))) | v39(constB10)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38231,plain,
% 8.52/6.66 ((~v39(constB10)) | (~v9(constB10))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38230, 38229])).
% 8.52/6.66 tff(38232,plain,
% 8.52/6.66 ((~(v184(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v184(constB10)) | (~((~v39(constB10)) | (~v9(constB10))))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38233,plain,
% 8.52/6.66 ((~(v184(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v184(constB10))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38232, 38231])).
% 8.52/6.66 tff(38234,plain,
% 8.52/6.66 (~v184(constB10)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38233, 38224])).
% 8.52/6.66 tff(38235,plain,
% 8.52/6.66 (((~v184(constB10)) | (~v159(constB10))) | v184(constB10)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38236,plain,
% 8.52/6.66 ((~v184(constB10)) | (~v159(constB10))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38235, 38234])).
% 8.52/6.66 tff(38237,plain,
% 8.52/6.66 ((~(v187(constB10) <=> (~((~v184(constB10)) | (~v159(constB10)))))) | (~v187(constB10)) | (~((~v184(constB10)) | (~v159(constB10))))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38238,plain,
% 8.52/6.66 ((~(v187(constB10) <=> (~((~v184(constB10)) | (~v159(constB10)))))) | (~v187(constB10))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38237, 38236])).
% 8.52/6.66 tff(38239,plain,
% 8.52/6.66 (~v187(constB10)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38238, 38222])).
% 8.52/6.66 tff(38240,plain,
% 8.52/6.66 (((~v186(constB10)) | (~v187(constB10))) | v187(constB10)),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38241,plain,
% 8.52/6.66 ((~v186(constB10)) | (~v187(constB10))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38240, 38239])).
% 8.52/6.66 tff(38242,plain,
% 8.52/6.66 ((~(v185(constB10) <=> (~((~v186(constB10)) | (~v187(constB10)))))) | (~v185(constB10)) | (~((~v186(constB10)) | (~v187(constB10))))),
% 8.52/6.66 inference(tautology,[status(thm)],[])).
% 8.52/6.66 tff(38243,plain,
% 8.52/6.66 (~v185(constB10)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38242, 38241, 38220])).
% 8.52/6.66 tff(38244,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10))))))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38245,plain,
% 8.52/6.66 ((v181(constB10) <=> (~((~v182(constB10)) | (~v157(constB10))))) <=> (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10)))))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38246,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v182(constB10)) | (~v157(constB10)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10))))))),
% 8.52/6.66 inference(monotonicity,[status(thm)],[38245])).
% 8.52/6.66 tff(38247,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v182(constB10)) | (~v157(constB10)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10))))))),
% 8.52/6.66 inference(transitivity,[status(thm)],[38246, 38244])).
% 8.52/6.66 tff(38248,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v182(constB10)) | (~v157(constB10)))))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38249,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10)))))),
% 8.52/6.66 inference(modus_ponens,[status(thm)],[38248, 38247])).
% 8.52/6.66 tff(38250,plain,
% 8.52/6.66 (v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10))))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38249, 161])).
% 8.52/6.66 tff(38251,plain,
% 8.52/6.66 ((~![VarNext: $i] : (v157(VarNext) <=> v180(VarNext))) | (v157(constB10) <=> v180(constB10))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38252,plain,
% 8.52/6.66 (v157(constB10) <=> v180(constB10)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38251, 13])).
% 8.52/6.66 tff(38253,plain,
% 8.52/6.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB9, constB10)) | (v180(constB10) <=> v178(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB9, constB10)) | (v180(constB10) <=> v178(constB9)))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38254,plain,
% 8.52/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | ((~nextState(constB9, constB10)) | (v180(constB10) <=> v178(constB9)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38255,plain,
% 8.52/6.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v180(VarNext) <=> v178(VarCurr)))) | (~nextState(constB9, constB10)) | (v180(constB10) <=> v178(constB9))),
% 8.52/6.66 inference(modus_ponens,[status(thm)],[38254, 38253])).
% 8.52/6.66 tff(38256,plain,
% 8.52/6.66 (v180(constB10) <=> v178(constB9)),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38255, 3575, 70])).
% 8.52/6.66 tff(38257,plain,
% 8.52/6.66 ((~![VarCurr: $i] : (v178(VarCurr) <=> (v181(VarCurr) | v185(VarCurr)))) | (v178(constB9) <=> (v181(constB9) | v185(constB9)))),
% 8.52/6.66 inference(quant_inst,[status(thm)],[])).
% 8.52/6.66 tff(38258,plain,
% 8.52/6.66 (v178(constB9) <=> (v181(constB9) | v185(constB9))),
% 8.52/6.66 inference(unit_resolution,[status(thm)],[38257, 84])).
% 8.52/6.66 tff(38259,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9))))))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38260,plain,
% 8.52/6.66 ((v181(constB9) <=> (~((~v182(constB9)) | (~v157(constB9))))) <=> (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9)))))),
% 8.52/6.66 inference(rewrite,[status(thm)],[])).
% 8.52/6.66 tff(38261,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v182(constB9)) | (~v157(constB9)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9))))))),
% 8.52/6.66 inference(monotonicity,[status(thm)],[38260])).
% 8.52/6.66 tff(38262,plain,
% 8.52/6.66 (((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v182(constB9)) | (~v157(constB9)))))) <=> ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9))))))),
% 8.52/6.66 inference(transitivity,[status(thm)],[38261, 38259])).
% 8.52/6.67 tff(38263,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v182(constB9)) | (~v157(constB9)))))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38264,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v181(VarCurr) <=> (~((~v182(VarCurr)) | (~v157(VarCurr)))))) | (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9)))))),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38263, 38262])).
% 8.52/6.67 tff(38265,plain,
% 8.52/6.67 (v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9))))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38264, 161])).
% 8.52/6.67 tff(38266,plain,
% 8.52/6.67 ((~![VarCurr: $i] : ((~v182(VarCurr)) <=> v183(VarCurr))) | ((~v182(constB9)) <=> v183(constB9))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38267,plain,
% 8.52/6.67 ((~v182(constB9)) <=> v183(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38266, 193])).
% 8.52/6.67 tff(38268,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v183(VarCurr) <=> (v184(VarCurr) | v26(VarCurr)))) | (v183(constB9) <=> (v184(constB9) | v26(constB9)))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38269,plain,
% 8.52/6.67 (v183(constB9) <=> (v184(constB9) | v26(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38268, 202])).
% 8.52/6.67 tff(38270,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(constB9) <=> (~((~v39(constB9)) | (~v9(constB9)))))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38271,plain,
% 8.52/6.67 (v184(constB9) <=> (~((~v39(constB9)) | (~v9(constB9))))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38270, 120])).
% 8.52/6.67 tff(38272,plain,
% 8.52/6.67 (((~![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)))),
% 8.52/6.67 inference(rewrite,[status(thm)],[])).
% 8.52/6.67 tff(38273,plain,
% 8.52/6.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9)))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38274,plain,
% 8.52/6.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9))),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38273, 38272])).
% 8.52/6.67 tff(38275,plain,
% 8.52/6.67 (v13(constB10) <=> v9(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38274, 3575, 216])).
% 8.52/6.67 tff(38276,plain,
% 8.52/6.67 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB10) <=> v13(constB10))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38277,plain,
% 8.52/6.67 (v6(constB10) <=> v13(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38276, 230])).
% 8.52/6.67 tff(38278,plain,
% 8.52/6.67 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB10)) <=> v6(constB10))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38279,plain,
% 8.52/6.67 ((~v21(constB10)) <=> v6(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38278, 239])).
% 8.52/6.67 tff(38280,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB10) <=> (v20(constB10) | v21(constB10)))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38281,plain,
% 8.52/6.67 (v19(constB10) <=> (v20(constB10) | v21(constB10))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38280, 248])).
% 8.52/6.67 tff(38282,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10)))))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38283,plain,
% 8.52/6.67 (v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10))))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38282, 260])).
% 8.52/6.67 tff(38284,plain,
% 8.52/6.67 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB10)) <=> v18(constB10))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38285,plain,
% 8.52/6.67 ((~v4(constB10)) <=> v18(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38284, 269])).
% 8.52/6.67 tff(38286,plain,
% 8.52/6.67 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB10)),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38287,plain,
% 8.52/6.67 (v4(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38286, 278])).
% 8.52/6.67 tff(38288,plain,
% 8.52/6.67 ((~((~v4(constB10)) <=> v18(constB10))) | (~v4(constB10)) | (~v18(constB10))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38289,plain,
% 8.52/6.67 (~v18(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38288, 38287, 38285])).
% 8.52/6.67 tff(38290,plain,
% 8.52/6.67 ((~(v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10)))))) | v18(constB10) | ((~v19(constB10)) | (~v22(constB10)))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38291,plain,
% 8.52/6.67 ((~v19(constB10)) | (~v22(constB10))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38290, 38289, 38283])).
% 8.52/6.67 tff(38292,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB10) <=> (v1(constB10) | v6(constB10)))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38293,plain,
% 8.52/6.67 (v22(constB10) <=> (v1(constB10) | v6(constB10))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38292, 291])).
% 8.52/6.67 tff(38294,plain,
% 8.52/6.67 ((v1(constB10) | v6(constB10)) | (~v1(constB10))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38295,plain,
% 8.52/6.67 (v1(constB10) | v6(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38294, 4760])).
% 8.52/6.67 tff(38296,plain,
% 8.52/6.67 ((~(v22(constB10) <=> (v1(constB10) | v6(constB10)))) | v22(constB10) | (~(v1(constB10) | v6(constB10)))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38297,plain,
% 8.52/6.67 ((~(v22(constB10) <=> (v1(constB10) | v6(constB10)))) | v22(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38296, 38295])).
% 8.52/6.67 tff(38298,plain,
% 8.52/6.67 (v22(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38297, 38293])).
% 8.52/6.67 tff(38299,plain,
% 8.52/6.67 ((~((~v19(constB10)) | (~v22(constB10)))) | (~v19(constB10)) | (~v22(constB10))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38300,plain,
% 8.52/6.67 ((~((~v19(constB10)) | (~v22(constB10)))) | (~v19(constB10))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38299, 38298])).
% 8.52/6.67 tff(38301,plain,
% 8.52/6.67 (~v19(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38300, 38291])).
% 8.52/6.67 tff(38302,plain,
% 8.52/6.67 ((~(v19(constB10) <=> (v20(constB10) | v21(constB10)))) | v19(constB10) | (~(v20(constB10) | v21(constB10)))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38303,plain,
% 8.52/6.67 (~(v20(constB10) | v21(constB10))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38302, 38301, 38281])).
% 8.52/6.67 tff(38304,plain,
% 8.52/6.67 ((v20(constB10) | v21(constB10)) | (~v21(constB10))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38305,plain,
% 8.52/6.67 (~v21(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38304, 38303])).
% 8.52/6.67 tff(38306,plain,
% 8.52/6.67 ((~((~v21(constB10)) <=> v6(constB10))) | v21(constB10) | v6(constB10)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38307,plain,
% 8.52/6.67 (v6(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38306, 38305, 38279])).
% 8.52/6.67 tff(38308,plain,
% 8.52/6.67 ((~(v6(constB10) <=> v13(constB10))) | (~v6(constB10)) | v13(constB10)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38309,plain,
% 8.52/6.67 (v13(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38308, 38307, 38277])).
% 8.52/6.67 tff(38310,plain,
% 8.52/6.67 ((~(v13(constB10) <=> v9(constB9))) | (~v13(constB10)) | v9(constB9)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38311,plain,
% 8.52/6.67 (v9(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38310, 38309, 38275])).
% 8.52/6.67 tff(38312,plain,
% 8.52/6.67 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB9)) <=> v1(constB9))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38313,plain,
% 8.52/6.67 ((~v39(constB9)) <=> v1(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38312, 129])).
% 8.52/6.67 tff(38314,plain,
% 8.52/6.67 ((~((~v39(constB9)) <=> v1(constB9))) | v39(constB9) | v1(constB9)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38315,plain,
% 8.52/6.67 ((~((~v39(constB9)) <=> v1(constB9))) | v39(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38314, 3619])).
% 8.52/6.67 tff(38316,plain,
% 8.52/6.67 (v39(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38315, 38313])).
% 8.52/6.67 tff(38317,plain,
% 8.52/6.67 ((~((~v39(constB9)) | (~v9(constB9)))) | (~v39(constB9)) | (~v9(constB9))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38318,plain,
% 8.52/6.67 ((~((~v39(constB9)) | (~v9(constB9)))) | (~v9(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38317, 38316])).
% 8.52/6.67 tff(38319,plain,
% 8.52/6.67 (~((~v39(constB9)) | (~v9(constB9)))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38318, 38311])).
% 8.52/6.67 tff(38320,plain,
% 8.52/6.67 ((~(v184(constB9) <=> (~((~v39(constB9)) | (~v9(constB9)))))) | v184(constB9) | ((~v39(constB9)) | (~v9(constB9)))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38321,plain,
% 8.52/6.67 (v184(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38320, 38319, 38271])).
% 8.52/6.67 tff(38322,plain,
% 8.52/6.67 ((v184(constB9) | v26(constB9)) | (~v184(constB9))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38323,plain,
% 8.52/6.67 (v184(constB9) | v26(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38322, 38321])).
% 8.52/6.67 tff(38324,plain,
% 8.52/6.67 ((~(v183(constB9) <=> (v184(constB9) | v26(constB9)))) | v183(constB9) | (~(v184(constB9) | v26(constB9)))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38325,plain,
% 8.52/6.67 (v183(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38324, 38323, 38269])).
% 8.52/6.67 tff(38326,plain,
% 8.52/6.67 ((~((~v182(constB9)) <=> v183(constB9))) | (~v182(constB9)) | (~v183(constB9))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38327,plain,
% 8.52/6.67 (~v182(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38326, 38325, 38267])).
% 8.52/6.67 tff(38328,plain,
% 8.52/6.67 (((~v157(constB9)) | (~v182(constB9))) | v182(constB9)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38329,plain,
% 8.52/6.67 ((~v157(constB9)) | (~v182(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38328, 38327])).
% 8.52/6.67 tff(38330,plain,
% 8.52/6.67 ((~(v181(constB9) <=> (~((~v157(constB9)) | (~v182(constB9)))))) | (~v181(constB9)) | (~((~v157(constB9)) | (~v182(constB9))))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38331,plain,
% 8.52/6.67 (~v181(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38330, 38329, 38265])).
% 8.52/6.67 tff(38332,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v185(VarCurr) <=> (~((~v186(VarCurr)) | (~v187(VarCurr)))))) | (v185(constB9) <=> (~((~v186(constB9)) | (~v187(constB9)))))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38333,plain,
% 8.52/6.67 (v185(constB9) <=> (~((~v186(constB9)) | (~v187(constB9))))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38332, 96])).
% 8.52/6.67 tff(38334,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v187(VarCurr) <=> (~((~v184(VarCurr)) | (~v159(VarCurr)))))) | (v187(constB9) <=> (~((~v184(constB9)) | (~v159(constB9)))))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38335,plain,
% 8.52/6.67 (v187(constB9) <=> (~((~v184(constB9)) | (~v159(constB9))))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38334, 108])).
% 8.52/6.67 tff(38336,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v159(VarCurr) <=> v161(VarCurr))) | (v159(constB9) <=> v161(constB9))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38337,plain,
% 8.52/6.67 (v159(constB9) <=> v161(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38336, 345])).
% 8.52/6.67 tff(38338,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v164(VarCurr) <=> (v145(VarCurr) | v165(VarCurr)))) | (v164(constB9) <=> (v145(constB9) | v165(constB9)))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38339,plain,
% 8.52/6.67 (v164(constB9) <=> (v145(constB9) | v165(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38338, 357])).
% 8.52/6.67 tff(38340,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v145(VarCurr) <=> (v146(VarCurr) | v147(VarCurr)))) | (v145(constB9) <=> (v146(constB9) | v147(constB9)))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38341,plain,
% 8.52/6.67 (v145(constB9) <=> (v146(constB9) | v147(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38340, 24729])).
% 8.52/6.67 tff(38342,plain,
% 8.52/6.67 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0)))))),
% 8.52/6.67 inference(rewrite,[status(thm)],[])).
% 8.52/6.67 tff(38343,plain,
% 8.52/6.67 ((v146(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2))))) <=> (v146(constB9) <=> (~(v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0))))),
% 8.52/6.67 inference(rewrite,[status(thm)],[])).
% 8.52/6.67 tff(38344,plain,
% 8.52/6.67 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0)))))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38343])).
% 8.52/6.67 tff(38345,plain,
% 8.52/6.67 (((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0)))))),
% 8.52/6.67 inference(transitivity,[status(thm)],[38344, 38342])).
% 8.52/6.67 tff(38346,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)))))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38347,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v146(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex2)))))) | (v146(constB9) <=> (~(v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0))))),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38346, 38345])).
% 8.52/6.67 tff(38348,plain,
% 8.52/6.67 (v146(constB9) <=> (~(v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0)))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38347, 24744])).
% 8.52/6.67 tff(38349,plain,
% 8.52/6.67 ((~![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))))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38350,plain,
% 8.52/6.67 (~(((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)) | ((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)) | ((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0)))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38349, 416])).
% 8.52/6.67 tff(38351,plain,
% 8.52/6.67 ((((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)) | ((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)) | ((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0))) | (~((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38352,plain,
% 8.52/6.67 (~((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38351, 38350])).
% 8.52/6.67 tff(38353,plain,
% 8.52/6.67 (((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)) | v88(constB9, bitIndex2) | (~v90(constB9, bitIndex2))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38354,plain,
% 8.52/6.67 (v88(constB9, bitIndex2)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38353, 4669, 38352])).
% 8.52/6.67 tff(38355,plain,
% 8.52/6.67 ((((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)) | ((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)) | ((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0))) | (~((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0)))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38356,plain,
% 8.52/6.67 (~((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38355, 38350])).
% 8.52/6.67 tff(38357,plain,
% 8.52/6.67 (((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0)) | (~v88(constB9, bitIndex0)) | v90(constB9, bitIndex0)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38358,plain,
% 8.52/6.67 (~v88(constB9, bitIndex0)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38357, 4687, 38356])).
% 8.52/6.67 tff(38359,plain,
% 8.52/6.67 ((((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)) | ((~v88(constB9, bitIndex2)) <=> v90(constB9, bitIndex2)) | ((~v88(constB9, bitIndex0)) <=> v90(constB9, bitIndex0))) | (~((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38360,plain,
% 8.52/6.67 (~((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38359, 38350])).
% 8.52/6.67 tff(38361,plain,
% 8.52/6.67 (((~v88(constB9, bitIndex1)) <=> v90(constB9, bitIndex1)) | (~v88(constB9, bitIndex1)) | v90(constB9, bitIndex1)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38362,plain,
% 8.52/6.67 (~v88(constB9, bitIndex1)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38361, 4705, 38360])).
% 8.52/6.67 tff(38363,plain,
% 8.52/6.67 ((~(v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0))) | v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38364,plain,
% 8.52/6.67 (~(v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38363, 38362, 38358, 38354])).
% 8.52/6.67 tff(38365,plain,
% 8.52/6.67 ((~(v146(constB9) <=> (~(v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0))))) | v146(constB9) | (v88(constB9, bitIndex1) | (~v88(constB9, bitIndex2)) | v88(constB9, bitIndex0))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38366,plain,
% 8.52/6.67 (v146(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38365, 38364, 38348])).
% 8.52/6.67 tff(38367,plain,
% 8.52/6.67 ((v146(constB9) | v147(constB9)) | (~v146(constB9))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38368,plain,
% 8.52/6.67 (v146(constB9) | v147(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38367, 38366])).
% 8.52/6.67 tff(38369,plain,
% 8.52/6.67 ((~(v145(constB9) <=> (v146(constB9) | v147(constB9)))) | v145(constB9) | (~(v146(constB9) | v147(constB9)))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38370,plain,
% 8.52/6.67 (v145(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38369, 38368, 38341])).
% 8.52/6.67 tff(38371,plain,
% 8.52/6.67 ((v145(constB9) | v165(constB9)) | (~v145(constB9))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38372,plain,
% 8.52/6.67 (v145(constB9) | v165(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38371, 38370])).
% 8.52/6.67 tff(38373,plain,
% 8.52/6.67 ((~(v164(constB9) <=> (v145(constB9) | v165(constB9)))) | v164(constB9) | (~(v145(constB9) | v165(constB9)))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38374,plain,
% 8.52/6.67 ((~(v164(constB9) <=> (v145(constB9) | v165(constB9)))) | v164(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38373, 38372])).
% 8.52/6.67 tff(38375,plain,
% 8.52/6.67 (v164(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38374, 38339])).
% 8.52/6.67 tff(38376,plain,
% 8.52/6.67 (((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB9)) | (v161(constB9) <=> v168(constB9)))) <=> ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB9)) | (v161(constB9) <=> v168(constB9)))),
% 8.52/6.67 inference(rewrite,[status(thm)],[])).
% 8.52/6.67 tff(38377,plain,
% 8.52/6.67 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | ((~v164(constB9)) | (v161(constB9) <=> v168(constB9)))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38378,plain,
% 8.52/6.67 ((~![VarNext: $i] : ((~v164(VarNext)) | (v161(VarNext) <=> v168(VarNext)))) | (~v164(constB9)) | (v161(constB9) <=> v168(constB9))),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38377, 38376])).
% 8.52/6.67 tff(38379,plain,
% 8.52/6.67 ((~v164(constB9)) | (v161(constB9) <=> v168(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38378, 12128])).
% 8.52/6.67 tff(38380,plain,
% 8.52/6.67 (v161(constB9) <=> v168(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38379, 38375])).
% 8.52/6.67 tff(38381,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v139(VarCurr) <=> (~(v88(VarCurr, bitIndex0) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2))))) | (v139(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2))))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38382,plain,
% 8.52/6.67 (v139(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38381, 12146])).
% 8.52/6.67 tff(38383,plain,
% 8.52/6.67 ((v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)) | (~v88(constB9, bitIndex2))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38384,plain,
% 8.52/6.67 (v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38383, 38354])).
% 8.52/6.67 tff(38385,plain,
% 8.52/6.67 ((~(v139(constB9) <=> (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2))))) | (~v139(constB9)) | (~(v88(constB9, bitIndex0) | v88(constB9, bitIndex1) | v88(constB9, bitIndex2)))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38386,plain,
% 8.52/6.67 (~v139(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38385, 38384, 38382])).
% 8.52/6.67 tff(38387,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v140(VarCurr) <=> (~(v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex0)))))) | (v140(constB9) <=> (~(v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0)))))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38388,plain,
% 8.52/6.67 (v140(constB9) <=> (~(v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0))))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38387, 12165])).
% 8.52/6.67 tff(38389,plain,
% 8.52/6.67 ((v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0))) | (~v88(constB9, bitIndex2))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38390,plain,
% 8.52/6.67 (v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38389, 38354])).
% 8.52/6.67 tff(38391,plain,
% 8.52/6.67 ((~(v140(constB9) <=> (~(v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0)))))) | (~v140(constB9)) | (~(v88(constB9, bitIndex1) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex0))))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38392,plain,
% 8.52/6.67 (~v140(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38391, 38390, 38388])).
% 8.52/6.67 tff(38393,plain,
% 8.52/6.67 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v168(constB9)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB9) | v139(constB9) | (~v168(constB9)))),
% 8.52/6.67 inference(rewrite,[status(thm)],[])).
% 8.52/6.67 tff(38394,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v168(constB9)))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38395,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v168(VarCurr)))) | v140(constB9) | v139(constB9) | (~v168(constB9))),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38394, 38393])).
% 8.52/6.67 tff(38396,plain,
% 8.52/6.67 (v140(constB9) | v139(constB9) | (~v168(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38395, 12184])).
% 8.52/6.67 tff(38397,plain,
% 8.52/6.67 (~v168(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38396, 38392, 38386])).
% 8.52/6.67 tff(38398,plain,
% 8.52/6.67 ((~(v161(constB9) <=> v168(constB9))) | (~v161(constB9)) | v168(constB9)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38399,plain,
% 8.52/6.67 ((~(v161(constB9) <=> v168(constB9))) | (~v161(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38398, 38397])).
% 8.52/6.67 tff(38400,plain,
% 8.52/6.67 (~v161(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38399, 38380])).
% 8.52/6.67 tff(38401,plain,
% 8.52/6.67 ((~(v159(constB9) <=> v161(constB9))) | (~v159(constB9)) | v161(constB9)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38402,plain,
% 8.52/6.67 ((~(v159(constB9) <=> v161(constB9))) | (~v159(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38401, 38400])).
% 8.52/6.67 tff(38403,plain,
% 8.52/6.67 (~v159(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38402, 38337])).
% 8.52/6.67 tff(38404,plain,
% 8.52/6.67 (((~v184(constB9)) | (~v159(constB9))) | v159(constB9)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38405,plain,
% 8.52/6.67 ((~v184(constB9)) | (~v159(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38404, 38403])).
% 8.52/6.67 tff(38406,plain,
% 8.52/6.67 ((~(v187(constB9) <=> (~((~v184(constB9)) | (~v159(constB9)))))) | (~v187(constB9)) | (~((~v184(constB9)) | (~v159(constB9))))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38407,plain,
% 8.52/6.67 (~v187(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38406, 38405, 38335])).
% 8.52/6.67 tff(38408,plain,
% 8.52/6.67 (((~v186(constB9)) | (~v187(constB9))) | v187(constB9)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38409,plain,
% 8.52/6.67 ((~v186(constB9)) | (~v187(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38408, 38407])).
% 8.52/6.67 tff(38410,plain,
% 8.52/6.67 ((~(v185(constB9) <=> (~((~v186(constB9)) | (~v187(constB9)))))) | (~v185(constB9)) | (~((~v186(constB9)) | (~v187(constB9))))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38411,plain,
% 8.52/6.67 (~v185(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38410, 38409, 38333])).
% 8.52/6.67 tff(38412,plain,
% 8.52/6.67 ((~(v181(constB9) | v185(constB9))) | v181(constB9) | v185(constB9)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38413,plain,
% 8.52/6.67 (~(v181(constB9) | v185(constB9))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38412, 38411, 38331])).
% 8.52/6.67 tff(38414,plain,
% 8.52/6.67 ((~(v178(constB9) <=> (v181(constB9) | v185(constB9)))) | (~v178(constB9)) | (v181(constB9) | v185(constB9))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38415,plain,
% 8.52/6.67 (~v178(constB9)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38414, 38413, 38258])).
% 8.52/6.67 tff(38416,plain,
% 8.52/6.67 ((~(v180(constB10) <=> v178(constB9))) | (~v180(constB10)) | v178(constB9)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38417,plain,
% 8.52/6.67 (~v180(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38416, 38415, 38256])).
% 8.52/6.67 tff(38418,plain,
% 8.52/6.67 ((~(v157(constB10) <=> v180(constB10))) | (~v157(constB10)) | v180(constB10)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38419,plain,
% 8.52/6.67 (~v157(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38418, 38417, 38252])).
% 8.52/6.67 tff(38420,plain,
% 8.52/6.67 (((~v157(constB10)) | (~v182(constB10))) | v157(constB10)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38421,plain,
% 8.52/6.67 ((~v157(constB10)) | (~v182(constB10))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38420, 38419])).
% 8.52/6.67 tff(38422,plain,
% 8.52/6.67 ((~(v181(constB10) <=> (~((~v157(constB10)) | (~v182(constB10)))))) | (~v181(constB10)) | (~((~v157(constB10)) | (~v182(constB10))))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38423,plain,
% 8.52/6.67 (~v181(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38422, 38421, 38250])).
% 8.52/6.67 tff(38424,plain,
% 8.52/6.67 ((~(v181(constB10) | v185(constB10))) | v181(constB10) | v185(constB10)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38425,plain,
% 8.52/6.67 (~(v181(constB10) | v185(constB10))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38424, 38423, 38243])).
% 8.52/6.67 tff(38426,plain,
% 8.52/6.67 ((~(v178(constB10) <=> (v181(constB10) | v185(constB10)))) | (~v178(constB10)) | (v181(constB10) | v185(constB10))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38427,plain,
% 8.52/6.67 (~v178(constB10)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38426, 38425, 38218])).
% 8.52/6.67 tff(38428,plain,
% 8.52/6.67 ((~(v180(constB11) <=> v178(constB10))) | (~v180(constB11)) | v178(constB10)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38429,plain,
% 8.52/6.67 (~v180(constB11)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38428, 38427, 38216])).
% 8.52/6.67 tff(38430,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38429, 38212])).
% 8.52/6.67 tff(38431,plain,(~(constB11 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38432,assumption,(constB78 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38433,plain,
% 8.52/6.67 (v1(constB78) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38432])).
% 8.52/6.67 tff(38434,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB78)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38433])).
% 8.52/6.67 tff(38435,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB78))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38434])).
% 8.52/6.67 tff(38436,plain,
% 8.52/6.67 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(VarCurr!0)) <=> v1(VarCurr!0))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38437,plain,
% 8.52/6.67 ((~v39(VarCurr!0)) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38436, 129])).
% 8.52/6.67 tff(38438,plain,
% 8.52/6.67 ((~![VarCurr: $i] : (v184(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v184(VarCurr!0) <=> (~((~v39(VarCurr!0)) | (~v9(VarCurr!0)))))),
% 8.52/6.67 inference(quant_inst,[status(thm)],[])).
% 8.52/6.67 tff(38439,plain,
% 8.52/6.67 (v184(VarCurr!0) <=> (~((~v39(VarCurr!0)) | (~v9(VarCurr!0))))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38438, 120])).
% 8.52/6.67 tff(38440,plain,
% 8.52/6.67 (((~v194(VarCurr!0)) | (~v184(VarCurr!0))) | v184(VarCurr!0)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38441,plain,
% 8.52/6.67 (v184(VarCurr!0)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38440, 21758])).
% 8.52/6.67 tff(38442,plain,
% 8.52/6.67 ((~(v184(VarCurr!0) <=> (~((~v39(VarCurr!0)) | (~v9(VarCurr!0)))))) | (~v184(VarCurr!0)) | (~((~v39(VarCurr!0)) | (~v9(VarCurr!0))))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38443,plain,
% 8.52/6.67 ((~(v184(VarCurr!0) <=> (~((~v39(VarCurr!0)) | (~v9(VarCurr!0)))))) | (~((~v39(VarCurr!0)) | (~v9(VarCurr!0))))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38442, 38441])).
% 8.52/6.67 tff(38444,plain,
% 8.52/6.67 (~((~v39(VarCurr!0)) | (~v9(VarCurr!0)))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38443, 38439])).
% 8.52/6.67 tff(38445,plain,
% 8.52/6.67 (((~v39(VarCurr!0)) | (~v9(VarCurr!0))) | v39(VarCurr!0)),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38446,plain,
% 8.52/6.67 (v39(VarCurr!0)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38445, 38444])).
% 8.52/6.67 tff(38447,plain,
% 8.52/6.67 ((~((~v39(VarCurr!0)) <=> v1(VarCurr!0))) | (~v39(VarCurr!0)) | (~v1(VarCurr!0))),
% 8.52/6.67 inference(tautology,[status(thm)],[])).
% 8.52/6.67 tff(38448,plain,
% 8.52/6.67 ((~((~v39(VarCurr!0)) <=> v1(VarCurr!0))) | (~v1(VarCurr!0))),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38447, 38446])).
% 8.52/6.67 tff(38449,plain,
% 8.52/6.67 (~v1(VarCurr!0)),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38448, 38437])).
% 8.52/6.67 tff(38450,plain,
% 8.52/6.67 (~v1(constB78)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38435])).
% 8.52/6.67 tff(38451,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[10108, 38450])).
% 8.52/6.67 tff(38452,plain,(~(constB78 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38453,assumption,(constB124 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38454,plain,
% 8.52/6.67 (v1(constB124) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38453])).
% 8.52/6.67 tff(38455,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB124)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38454])).
% 8.52/6.67 tff(38456,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB124))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38455])).
% 8.52/6.67 tff(38457,plain,
% 8.52/6.67 (~v1(constB124)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38456])).
% 8.52/6.67 tff(38458,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[16667, 38457])).
% 8.52/6.67 tff(38459,plain,(~(constB124 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38460,assumption,(constB48 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38461,plain,
% 8.52/6.67 (v1(constB48) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38460])).
% 8.52/6.67 tff(38462,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB48)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38461])).
% 8.52/6.67 tff(38463,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB48))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38462])).
% 8.52/6.67 tff(38464,plain,
% 8.52/6.67 (~v1(constB48)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38463])).
% 8.52/6.67 tff(38465,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[7747, 38464])).
% 8.52/6.67 tff(38466,plain,(~(constB48 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38467,assumption,(constB0 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38468,plain,
% 8.52/6.67 (v1(constB0) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38467])).
% 8.52/6.67 tff(38469,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB0)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38468])).
% 8.52/6.67 tff(38470,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB0))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38469])).
% 8.52/6.67 tff(38471,plain,
% 8.52/6.67 (~v1(constB0)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38470])).
% 8.52/6.67 tff(38472,plain,
% 8.52/6.67 (v1(constB0) <=> v1(constB0)),
% 8.52/6.67 inference(rewrite,[status(thm)],[])).
% 8.52/6.67 tff(38473,axiom,(v1(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern')).
% 8.52/6.67 tff(38474,plain,
% 8.52/6.67 (v1(constB0)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38473, 38472])).
% 8.52/6.67 tff(38475,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[38474, 38471])).
% 8.52/6.67 tff(38476,plain,(~(constB0 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38477,assumption,(constB134 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38478,plain,
% 8.52/6.67 (v1(constB134) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38477])).
% 8.52/6.67 tff(38479,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB134)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38478])).
% 8.52/6.67 tff(38480,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB134))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38479])).
% 8.52/6.67 tff(38481,plain,
% 8.52/6.67 (~v1(constB134)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38480])).
% 8.52/6.67 tff(38482,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[17444, 38481])).
% 8.52/6.67 tff(38483,plain,(~(constB134 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38484,assumption,(constB130 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38485,plain,
% 8.52/6.67 (v1(constB130) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38484])).
% 8.52/6.67 tff(38486,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB130)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38485])).
% 8.52/6.67 tff(38487,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB130))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38486])).
% 8.52/6.67 tff(38488,plain,
% 8.52/6.67 (~v1(constB130)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38487])).
% 8.52/6.67 tff(38489,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[17129, 38488])).
% 8.52/6.67 tff(38490,plain,(~(constB130 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38491,assumption,(constB32 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38492,plain,
% 8.52/6.67 (v1(constB32) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38491])).
% 8.52/6.67 tff(38493,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB32)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38492])).
% 8.52/6.67 tff(38494,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB32))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38493])).
% 8.52/6.67 tff(38495,plain,
% 8.52/6.67 (~v1(constB32)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38494])).
% 8.52/6.67 tff(38496,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[6523, 38495])).
% 8.52/6.67 tff(38497,plain,(~(constB32 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38498,assumption,(constB178 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38499,plain,
% 8.52/6.67 (v1(constB178) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38498])).
% 8.52/6.67 tff(38500,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB178)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38499])).
% 8.52/6.67 tff(38501,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB178))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38500])).
% 8.52/6.67 tff(38502,plain,
% 8.52/6.67 (~v1(constB178)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38501])).
% 8.52/6.67 tff(38503,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[20869, 38502])).
% 8.52/6.67 tff(38504,plain,(~(constB178 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38505,assumption,(constB34 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38506,plain,
% 8.52/6.67 (v1(constB34) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38505])).
% 8.52/6.67 tff(38507,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB34)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38506])).
% 8.52/6.67 tff(38508,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB34))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38507])).
% 8.52/6.67 tff(38509,plain,
% 8.52/6.67 (~v1(constB34)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38508])).
% 8.52/6.67 tff(38510,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[6669, 38509])).
% 8.52/6.67 tff(38511,plain,(~(constB34 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38512,assumption,(constB154 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38513,plain,
% 8.52/6.67 (v1(constB154) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38512])).
% 8.52/6.67 tff(38514,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB154)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38513])).
% 8.52/6.67 tff(38515,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB154))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38514])).
% 8.52/6.67 tff(38516,plain,
% 8.52/6.67 (~v1(constB154)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38515])).
% 8.52/6.67 tff(38517,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[18999, 38516])).
% 8.52/6.67 tff(38518,plain,(~(constB154 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38519,assumption,(constB90 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38520,plain,
% 8.52/6.67 (v1(constB90) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38519])).
% 8.52/6.67 tff(38521,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB90)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38520])).
% 8.52/6.67 tff(38522,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB90))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38521])).
% 8.52/6.67 tff(38523,plain,
% 8.52/6.67 (~v1(constB90)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38522])).
% 8.52/6.67 tff(38524,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[11043, 38523])).
% 8.52/6.67 tff(38525,plain,(~(constB90 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38526,assumption,(constB114 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38527,plain,
% 8.52/6.67 (v1(constB114) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38526])).
% 8.52/6.67 tff(38528,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB114)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38527])).
% 8.52/6.67 tff(38529,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB114))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38528])).
% 8.52/6.67 tff(38530,plain,
% 8.52/6.67 (~v1(constB114)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38529])).
% 8.52/6.67 tff(38531,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[15893, 38530])).
% 8.52/6.67 tff(38532,plain,(~(constB114 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38533,assumption,(constB140 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38534,plain,
% 8.52/6.67 (v1(constB140) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38533])).
% 8.52/6.67 tff(38535,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB140)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38534])).
% 8.52/6.67 tff(38536,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB140))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38535])).
% 8.52/6.67 tff(38537,plain,
% 8.52/6.67 (~v1(constB140)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38536])).
% 8.52/6.67 tff(38538,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[17918, 38537])).
% 8.52/6.67 tff(38539,plain,(~(constB140 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38540,assumption,(constB80 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38541,plain,
% 8.52/6.67 (v1(constB80) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38540])).
% 8.52/6.67 tff(38542,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB80)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38541])).
% 8.52/6.67 tff(38543,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB80))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38542])).
% 8.52/6.67 tff(38544,plain,
% 8.52/6.67 (~v1(constB80)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38543])).
% 8.52/6.67 tff(38545,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[10263, 38544])).
% 8.52/6.67 tff(38546,plain,(~(constB80 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38547,assumption,(constB160 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38548,plain,
% 8.52/6.67 (v1(constB160) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38547])).
% 8.52/6.67 tff(38549,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB160)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38548])).
% 8.52/6.67 tff(38550,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB160))),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38549])).
% 8.52/6.67 tff(38551,plain,
% 8.52/6.67 (~v1(constB160)),
% 8.52/6.67 inference(modus_ponens,[status(thm)],[38449, 38550])).
% 8.52/6.67 tff(38552,plain,
% 8.52/6.67 ($false),
% 8.52/6.67 inference(unit_resolution,[status(thm)],[19472, 38551])).
% 8.52/6.67 tff(38553,plain,(~(constB160 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.67 tff(38554,assumption,(constB190 = VarCurr!0), introduced(assumption)).
% 8.52/6.67 tff(38555,plain,
% 8.52/6.67 (v1(constB190) <=> v1(VarCurr!0)),
% 8.52/6.67 inference(monotonicity,[status(thm)],[38554])).
% 8.52/6.67 tff(38556,plain,
% 8.52/6.67 (v1(VarCurr!0) <=> v1(constB190)),
% 8.52/6.67 inference(symmetry,[status(thm)],[38555])).
% 8.52/6.67 tff(38557,plain,
% 8.52/6.67 ((~v1(VarCurr!0)) <=> (~v1(constB190))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38556])).
% 8.52/6.68 tff(38558,plain,
% 8.52/6.68 (~v1(constB190)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38557])).
% 8.52/6.68 tff(38559,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[22277, 38558])).
% 8.52/6.68 tff(38560,plain,(~(constB190 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38561,assumption,(constB138 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38562,plain,
% 8.52/6.68 (v1(constB138) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38561])).
% 8.52/6.68 tff(38563,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB138)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38562])).
% 8.52/6.68 tff(38564,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB138))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38563])).
% 8.52/6.68 tff(38565,plain,
% 8.52/6.68 (~v1(constB138)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38564])).
% 8.52/6.68 tff(38566,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[17763, 38565])).
% 8.52/6.68 tff(38567,plain,(~(constB138 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38568,assumption,(constB148 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38569,plain,
% 8.52/6.68 (v1(constB148) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38568])).
% 8.52/6.68 tff(38570,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB148)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38569])).
% 8.52/6.68 tff(38571,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB148))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38570])).
% 8.52/6.68 tff(38572,plain,
% 8.52/6.68 (~v1(constB148)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38571])).
% 8.52/6.68 tff(38573,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[18537, 38572])).
% 8.52/6.68 tff(38574,plain,(~(constB148 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38575,assumption,(constB100 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38576,plain,
% 8.52/6.68 (v1(constB100) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38575])).
% 8.52/6.68 tff(38577,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB100)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38576])).
% 8.52/6.68 tff(38578,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB100))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38577])).
% 8.52/6.68 tff(38579,plain,
% 8.52/6.68 (~v1(constB100)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38578])).
% 8.52/6.68 tff(38580,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[11817, 38579])).
% 8.52/6.68 tff(38581,plain,(~(constB100 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38582,assumption,(constB164 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38583,plain,
% 8.52/6.68 (v1(constB164) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38582])).
% 8.52/6.68 tff(38584,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB164)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38583])).
% 8.52/6.68 tff(38585,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB164))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38584])).
% 8.52/6.68 tff(38586,plain,
% 8.52/6.68 (~v1(constB164)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38585])).
% 8.52/6.68 tff(38587,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[19788, 38586])).
% 8.52/6.68 tff(38588,plain,(~(constB164 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38589,assumption,(constB196 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38590,plain,
% 8.52/6.68 (v1(constB196) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38589])).
% 8.52/6.68 tff(38591,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB196)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38590])).
% 8.52/6.68 tff(38592,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB196))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38591])).
% 8.52/6.68 tff(38593,plain,
% 8.52/6.68 (~v1(constB196)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38592])).
% 8.52/6.68 tff(38594,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[31058, 38593])).
% 8.52/6.68 tff(38595,plain,(~(constB196 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38596,assumption,(constB172 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38597,plain,
% 8.52/6.68 (v1(constB172) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38596])).
% 8.52/6.68 tff(38598,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB172)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38597])).
% 8.52/6.68 tff(38599,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB172))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38598])).
% 8.52/6.68 tff(38600,plain,
% 8.52/6.68 (~v1(constB172)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38599])).
% 8.52/6.68 tff(38601,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[20407, 38600])).
% 8.52/6.68 tff(38602,plain,(~(constB172 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38603,assumption,(constB158 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38604,plain,
% 8.52/6.68 (v1(constB158) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38603])).
% 8.52/6.68 tff(38605,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB158)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38604])).
% 8.52/6.68 tff(38606,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB158))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38605])).
% 8.52/6.68 tff(38607,plain,
% 8.52/6.68 (~v1(constB158)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38606])).
% 8.52/6.68 tff(38608,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[19314, 38607])).
% 8.52/6.68 tff(38609,plain,(~(constB158 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38610,assumption,(constB22 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38611,plain,
% 8.52/6.68 (v1(constB22) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38610])).
% 8.52/6.68 tff(38612,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB22)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38611])).
% 8.52/6.68 tff(38613,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB22))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38612])).
% 8.52/6.68 tff(38614,plain,
% 8.52/6.68 (~v1(constB22)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38613])).
% 8.52/6.68 tff(38615,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[5734, 38614])).
% 8.52/6.68 tff(38616,plain,(~(constB22 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38617,assumption,(constB156 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38618,plain,
% 8.52/6.68 (v1(constB156) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38617])).
% 8.52/6.68 tff(38619,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB156)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38618])).
% 8.52/6.68 tff(38620,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB156))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38619])).
% 8.52/6.68 tff(38621,plain,
% 8.52/6.68 (~v1(constB156)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38620])).
% 8.52/6.68 tff(38622,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[19142, 38621])).
% 8.52/6.68 tff(38623,plain,(~(constB156 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38624,assumption,(constB76 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38625,plain,
% 8.52/6.68 (v1(constB76) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38624])).
% 8.52/6.68 tff(38626,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB76)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38625])).
% 8.52/6.68 tff(38627,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB76))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38626])).
% 8.52/6.68 tff(38628,plain,
% 8.52/6.68 (~v1(constB76)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38627])).
% 8.52/6.68 tff(38629,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[9947, 38628])).
% 8.52/6.68 tff(38630,plain,(~(constB76 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38631,assumption,(constB170 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38632,plain,
% 8.52/6.68 (v1(constB170) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38631])).
% 8.52/6.68 tff(38633,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB170)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38632])).
% 8.52/6.68 tff(38634,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB170))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38633])).
% 8.52/6.68 tff(38635,plain,
% 8.52/6.68 (~v1(constB170)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38634])).
% 8.52/6.68 tff(38636,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[20249, 38635])).
% 8.52/6.68 tff(38637,plain,(~(constB170 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38638,assumption,(constB96 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38639,plain,
% 8.52/6.68 (v1(constB96) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38638])).
% 8.52/6.68 tff(38640,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB96)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38639])).
% 8.52/6.68 tff(38641,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB96))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38640])).
% 8.52/6.68 tff(38642,plain,
% 8.52/6.68 (~v1(constB96)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38641])).
% 8.52/6.68 tff(38643,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[11487, 38642])).
% 8.52/6.68 tff(38644,plain,(~(constB96 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38645,assumption,(constB142 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38646,plain,
% 8.52/6.68 (v1(constB142) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38645])).
% 8.52/6.68 tff(38647,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB142)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38646])).
% 8.52/6.68 tff(38648,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB142))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38647])).
% 8.52/6.68 tff(38649,plain,
% 8.52/6.68 (~v1(constB142)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38648])).
% 8.52/6.68 tff(38650,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[18064, 38649])).
% 8.52/6.68 tff(38651,plain,(~(constB142 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38652,assumption,(constB70 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38653,plain,
% 8.52/6.68 (v1(constB70) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38652])).
% 8.52/6.68 tff(38654,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB70)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38653])).
% 8.52/6.68 tff(38655,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB70))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38654])).
% 8.52/6.68 tff(38656,plain,
% 8.52/6.68 (~v1(constB70)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38655])).
% 8.52/6.68 tff(38657,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[9474, 38656])).
% 8.52/6.68 tff(38658,plain,(~(constB70 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38659,assumption,(constB42 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38660,plain,
% 8.52/6.68 (v1(constB42) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38659])).
% 8.52/6.68 tff(38661,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB42)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38660])).
% 8.52/6.68 tff(38662,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB42))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38661])).
% 8.52/6.68 tff(38663,plain,
% 8.52/6.68 (~v1(constB42)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38662])).
% 8.52/6.68 tff(38664,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[7303, 38663])).
% 8.52/6.68 tff(38665,plain,(~(constB42 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38666,assumption,(constB40 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38667,plain,
% 8.52/6.68 (v1(constB40) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38666])).
% 8.52/6.68 tff(38668,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB40)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38667])).
% 8.52/6.68 tff(38669,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB40))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38668])).
% 8.52/6.68 tff(38670,plain,
% 8.52/6.68 (~v1(constB40)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38669])).
% 8.52/6.68 tff(38671,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[7142, 38670])).
% 8.52/6.68 tff(38672,plain,(~(constB40 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38673,assumption,(constB200 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38674,plain,
% 8.52/6.68 (v1(constB200) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38673])).
% 8.52/6.68 tff(38675,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB200)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38674])).
% 8.52/6.68 tff(38676,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB200))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38675])).
% 8.52/6.68 tff(38677,plain,
% 8.52/6.68 (~v1(constB200)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38676])).
% 8.52/6.68 tff(38678,plain,
% 8.52/6.68 (v1(constB200) <=> v1(constB200)),
% 8.52/6.68 inference(rewrite,[status(thm)],[])).
% 8.52/6.68 tff(38679,axiom,(v1(constB200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_200')).
% 8.52/6.68 tff(38680,plain,
% 8.52/6.68 (v1(constB200)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38679, 38678])).
% 8.52/6.68 tff(38681,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[38680, 38677])).
% 8.52/6.68 tff(38682,plain,(~(constB200 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38683,assumption,(constB128 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38684,plain,
% 8.52/6.68 (v1(constB128) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38683])).
% 8.52/6.68 tff(38685,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB128)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38684])).
% 8.52/6.68 tff(38686,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB128))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38685])).
% 8.52/6.68 tff(38687,plain,
% 8.52/6.68 (~v1(constB128)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38686])).
% 8.52/6.68 tff(38688,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[16983, 38687])).
% 8.52/6.68 tff(38689,plain,(~(constB128 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38690,assumption,(constB92 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38691,plain,
% 8.52/6.68 (v1(constB92) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38690])).
% 8.52/6.68 tff(38692,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB92)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38691])).
% 8.52/6.68 tff(38693,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB92))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38692])).
% 8.52/6.68 tff(38694,plain,
% 8.52/6.68 (~v1(constB92)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38693])).
% 8.52/6.68 tff(38695,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[11198, 38694])).
% 8.52/6.68 tff(38696,plain,(~(constB92 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38697,assumption,(constB106 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38698,plain,
% 8.52/6.68 (v1(constB106) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38697])).
% 8.52/6.68 tff(38699,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB106)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38698])).
% 8.52/6.68 tff(38700,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB106))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38699])).
% 8.52/6.68 tff(38701,plain,
% 8.52/6.68 (~v1(constB106)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38700])).
% 8.52/6.68 tff(38702,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[15259, 38701])).
% 8.52/6.68 tff(38703,plain,(~(constB106 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38704,assumption,(constB146 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38705,plain,
% 8.52/6.68 (v1(constB146) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38704])).
% 8.52/6.68 tff(38706,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB146)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38705])).
% 8.52/6.68 tff(38707,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB146))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38706])).
% 8.52/6.68 tff(38708,plain,
% 8.52/6.68 (~v1(constB146)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38707])).
% 8.52/6.68 tff(38709,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[18379, 38708])).
% 8.52/6.68 tff(38710,plain,(~(constB146 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38711,assumption,(constB50 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38712,plain,
% 8.52/6.68 (v1(constB50) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38711])).
% 8.52/6.68 tff(38713,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB50)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38712])).
% 8.52/6.68 tff(38714,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB50))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38713])).
% 8.52/6.68 tff(38715,plain,
% 8.52/6.68 (~v1(constB50)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38714])).
% 8.52/6.68 tff(38716,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[7919, 38715])).
% 8.52/6.68 tff(38717,plain,(~(constB50 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38718,assumption,(constB64 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38719,plain,
% 8.52/6.68 (v1(constB64) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38718])).
% 8.52/6.68 tff(38720,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB64)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38719])).
% 8.52/6.68 tff(38721,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB64))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38720])).
% 8.52/6.68 tff(38722,plain,
% 8.52/6.68 (~v1(constB64)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38721])).
% 8.52/6.68 tff(38723,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[9012, 38722])).
% 8.52/6.68 tff(38724,plain,(~(constB64 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38725,assumption,(constB36 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38726,plain,
% 8.52/6.68 (v1(constB36) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38725])).
% 8.52/6.68 tff(38727,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB36)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38726])).
% 8.52/6.68 tff(38728,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB36))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38727])).
% 8.52/6.68 tff(38729,plain,
% 8.52/6.68 (~v1(constB36)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38728])).
% 8.52/6.68 tff(38730,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[6812, 38729])).
% 8.52/6.68 tff(38731,plain,(~(constB36 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38732,assumption,(constB6 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38733,plain,
% 8.52/6.68 (v1(constB6) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38732])).
% 8.52/6.68 tff(38734,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB6)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38733])).
% 8.52/6.68 tff(38735,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB6))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38734])).
% 8.52/6.68 tff(38736,plain,
% 8.52/6.68 (~v1(constB6)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38735])).
% 8.52/6.68 tff(38737,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[4433, 38736])).
% 8.52/6.68 tff(38738,plain,(~(constB6 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38739,assumption,(constB84 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38740,plain,
% 8.52/6.68 (v1(constB84) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38739])).
% 8.52/6.68 tff(38741,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB84)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38740])).
% 8.52/6.68 tff(38742,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB84))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38741])).
% 8.52/6.68 tff(38743,plain,
% 8.52/6.68 (~v1(constB84)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38742])).
% 8.52/6.68 tff(38744,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[10552, 38743])).
% 8.52/6.68 tff(38745,plain,(~(constB84 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38746,assumption,(constB118 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38747,plain,
% 8.52/6.68 (v1(constB118) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38746])).
% 8.52/6.68 tff(38748,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB118)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38747])).
% 8.52/6.68 tff(38749,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB118))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38748])).
% 8.52/6.68 tff(38750,plain,
% 8.52/6.68 (~v1(constB118)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38749])).
% 8.52/6.68 tff(38751,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[16194, 38750])).
% 8.52/6.68 tff(38752,plain,(~(constB118 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38753,assumption,(constB52 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38754,plain,
% 8.52/6.68 (v1(constB52) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38753])).
% 8.52/6.68 tff(38755,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB52)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38754])).
% 8.52/6.68 tff(38756,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <=> (~v1(constB52))),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38755])).
% 8.52/6.68 tff(38757,plain,
% 8.52/6.68 (~v1(constB52)),
% 8.52/6.68 inference(modus_ponens,[status(thm)],[38449, 38756])).
% 8.52/6.68 tff(38758,plain,
% 8.52/6.68 ($false),
% 8.52/6.68 inference(unit_resolution,[status(thm)],[8077, 38757])).
% 8.52/6.68 tff(38759,plain,(~(constB52 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 8.52/6.68 tff(38760,assumption,(constB66 = VarCurr!0), introduced(assumption)).
% 8.52/6.68 tff(38761,plain,
% 8.52/6.68 (v1(constB66) <=> v1(VarCurr!0)),
% 8.52/6.68 inference(monotonicity,[status(thm)],[38760])).
% 8.52/6.68 tff(38762,plain,
% 8.52/6.68 (v1(VarCurr!0) <=> v1(constB66)),
% 8.52/6.68 inference(symmetry,[status(thm)],[38761])).
% 8.52/6.68 tff(38763,plain,
% 8.52/6.68 ((~v1(VarCurr!0)) <